{"id":63717,"date":"2025-12-03T09:54:50","date_gmt":"2025-12-03T15:54:50","guid":{"rendered":"https:\/\/mathkangaroo.org\/mks\/?page_id=63717"},"modified":"2025-12-19T17:48:03","modified_gmt":"2025-12-19T23:48:03","slug":"2025-advent-calendar","status":"publish","type":"page","link":"https:\/\/mathkangaroo.org\/mks\/2025-advent-calendar\/","title":{"rendered":"2025 Advent Calendar"},"content":{"rendered":"<div class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_raw_html css=&#8221;&#8221;]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[\/vc_raw_html][\/vc_column][\/vc_row][vc_row][vc_column][vc_custom_heading text=&#8221;2025 Math Kangaroo Advent Calendar&#8221; font_container=&#8221;tag:h2|text_align:center&#8221; use_theme_fonts=&#8221;yes&#8221; css=&#8221;&#8221;][vc_column_text css=&#8221;&#8221;]Math Kangaroo Advent Calendar 2025 brings a fun math challenge every day! Solve one exciting Kangaroo-style puzzle each day before Christmas and get smarter while having fun. Our friends from Germany have shared this special Advent Calendar full of pre-Christmas math puzzles designed for kids.[\/vc_column_text][\/vc_column][\/vc_row][vc_row gap=&#8221;1&#8243; equal_height=&#8221;yes&#8221;][vc_column width=&#8221;1\/2&#8243; css=&#8221;.vc_custom_1733030458659{border-right-width: 1px !important;border-right-style: solid !important;border-radius: 1px !important;border-color: #ACAAAA !important;}&#8221;][vc_column_text css=&#8221;&#8221;]<\/p>\n<h4 style=\"text-align: center;\"><span style=\"color: #000000;\">2025 Math Kangaroo Advent Calendar Mini<\/span><\/h4>\n<p><span style=\"color: #000000;\">\u2728 The Mini Calendar is designed for children in Grades 1 to 3, offering fun and engaging puzzles.<\/span>[\/vc_column_text][vc_column_text css=&#8221;&#8221;]<strong class=\"ays-quiz-shortcode-box\" title=\"\" data-toggle=\"tooltip\" data-original-title=\"Click for copy.\" aria-describedby=\"tooltip353721\">\n            <div class='ays-quiz-container ays_quiz_classic_light   ays-quiz-keyboard-active' data-quest-effect='fade'  data-hide-bg-image='false' id='ays-quiz-container-10'>\n                <div class='ays-live-bar-wrap '><div class='ays-live-bar-fill ' style='width: 0%;'><span><span class='ays-live-bar-percent ays-live-bar-count'><\/span>\/24<\/span><\/div><\/div>\n                \n                <div class='ays-questions-container'>\n                    \n                    \n                    \n                    <form action='' method='post' id='ays_finish_quiz_10' \n                        class='ays-quiz-form  enable_questions_result '\n                    >\n            <input type='hidden' value='list' class='answer_view_class'>\n            <input type='hidden' value='' class='ays_qm_enable_arrows'>\n            \n            \n            <div class='step active-step'>\n                <div class='ays-abs-fs ays-start-page'>\n                    <div class='ays_cb_and_a'><p style='margin:0!important;'><strong>Grades 1-3<\/strong><\/p><\/div>\n                    <img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/3-1024x576.png' alt='' class='ays_quiz_image'>\n                    <p class='ays-fs-title'>2025_Days 1-24<\/p>\n                    <div class='ays-fs-subtitle'><p>Let the countdown to Christmas be both festive and educational! \ud83c\udf84\ud83e\udd98<\/p>\n<\/div>\n                    <input type='hidden' name='ays_quiz_id' value='10'\/>\n                    <input type='hidden' name='ays_quiz_finish_nonce' value='d3ff469f47'>\n                    <input type='hidden' name='ays_quiz_curent_page_link' class='ays-quiz-curent-page-link' value='https:\/\/mathkangaroo.org\/mks\/wp-json\/wp\/v2\/pages\/63717'\/>\n                    <input type='hidden' name='ays_quiz_questions' value='59,60,61,62,63,66,64,65,67,68,69,70,84,88,90,91,93,96,101,102,103,104,105,106'>\n                    \n                    \n                    <input type='button'   class='ays_next start_button action-button ays-quiz-keyboard-active' value='Start' data-enable-leave-page=\"false\" \/>\n                    \n                    <\/div>\n                <\/div><div class='step ' data-question-id='59' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>1 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>1. <\/p>\n<p style=\"text-align: left\">Jan, Nele, Paula, and Tim are good friends. The four children are looking forward to the festive season. After school, they want to do crafts, read, go ice skating, play, and bake together.<\/p>\n<p style=\"text-align: left\">\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63721\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-Mini_1-1-529x342.png\" alt=\"\" width=\"529\" height=\"342\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-Mini_1-1.png 529w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-Mini_1-1-300x194.png 300w\" sizes=\"auto, (max-width: 529px) 100vw, 529px\" \/><\/p>\n<p style=\"text-align: left\">Today they are at Nele\u2019s aunt\u2019s house baking cookies. The dough has already been rolled out. Everyone grabs one of the fun animal cookie cutters: duck, owl,<br \/>\ngoose, sheep, or mouse. Nele and Paula have each cut out 3 cookies, Nele\u2019s aunt has cut out 2, and Tim has cut out 5. Which animal cookies has Jan cut out?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-59]' id='ays-answer-275-10' value='275'\/>\n\n                <label for='ays-answer-275-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>A<\/label><label for='ays-answer-275-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/1-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-59]' id='ays-answer-276-10' value='276'\/>\n\n                <label for='ays-answer-276-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>B<\/label><label for='ays-answer-276-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-59]' id='ays-answer-277-10' value='277'\/>\n\n                <label for='ays-answer-277-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>C<\/label><label for='ays-answer-277-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/3-1-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-59]' id='ays-answer-278-10' value='278'\/>\n\n                <label for='ays-answer-278-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>D<\/label><label for='ays-answer-278-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/4-1-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-59]' id='ays-answer-279-10' value='279'\/>\n\n                <label for='ays-answer-279-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>E<\/label><label for='ays-answer-279-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/5-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['59'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><em><span style=\"color: #808080\">First, we look at which cookie cutters Nele, Paula, Nele\u2019s aunt, and Tim used.<\/span><\/em><br \/>\n<em><span style=\"color: #808080\">Nele and Paula used the shapes that appear exactly three times on the baking tray. These are the mouse and the owl, and it doesn\u2019t matter who used which one.<\/span><\/em><\/p>\n<p><em><span style=\"color: #808080\">Nele\u2019s aunt used the goose cutter because it is the only shape that appears exactly twice on the tray.<\/span><\/em><\/p>\n<p><em><span style=\"color: #808080\">Tim used the duck shape, which appears five times.<\/span><\/em><\/p>\n<p><em><span style=\"color: #808080\">This means the sheep is left for Jan.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><em><span style=\"color: #808080\">First, we look at which cookie cutters Nele, Paula, Nele\u2019s aunt, and Tim used.<\/span><\/em><br \/>\n<em><span style=\"color: #808080\">Nele and Paula used the shapes that appear exactly three times on the baking tray. These are the mouse and the owl, and it doesn\u2019t matter who used which one.<\/span><\/em><\/p>\n<p><em><span style=\"color: #808080\">Nele\u2019s aunt used the goose cutter because it is the only shape that appears exactly twice on the tray.<\/span><\/em><\/p>\n<p><em><span style=\"color: #808080\">Tim used the duck shape, which appears five times.<\/span><\/em><\/p>\n<p><em><span style=\"color: #808080\">This means the sheep is left for Jan.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='60' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>2 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>2. <\/p>\n<p style=\"text-align: left\">\"Look, the pyramid made of Dominosteine has fallen over,\u201d says Nele.<br \/>\nThe children look through the window of the bakery. They count 16 Dominosteine.<br \/>\n\u201cThe pyramid looked really nice,\u201d recalls Jan.<br \/>\n\u201cYes,\u201d agrees Paula, \u201cfour rows on top of each other, each row two Dominosteine<br \/>\nlonger than the one above it, one on the left, one on the right.\u201d<br \/>\n\u201cAnd at the very top was a single Dominostein,\u201d says Tim.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63757\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-2-649x163.png\" alt=\"\" width=\"649\" height=\"163\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-2.png 649w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-2-300x75.png 300w\" sizes=\"auto, (max-width: 649px) 100vw, 649px\" \/><\/p>\n<p style=\"text-align: left\">How many Dominosteine were in the bottom row?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-60]' id='ays-answer-280-10' value='280'\/>\n\n                <label for='ays-answer-280-10' class='  ays_position_initial  ays-quiz-keyboard-label'>5<\/label><label for='ays-answer-280-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-60]' id='ays-answer-281-10' value='281'\/>\n\n                <label for='ays-answer-281-10' class='  ays_position_initial  ays-quiz-keyboard-label'>6<\/label><label for='ays-answer-281-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-60]' id='ays-answer-282-10' value='282'\/>\n\n                <label for='ays-answer-282-10' class='  ays_position_initial  ays-quiz-keyboard-label'>7<\/label><label for='ays-answer-282-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-60]' id='ays-answer-283-10' value='283'\/>\n\n                <label for='ays-answer-283-10' class='  ays_position_initial  ays-quiz-keyboard-label'>8<\/label><label for='ays-answer-283-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-60]' id='ays-answer-284-10' value='284'\/>\n\n                <label for='ays-answer-284-10' class='  ays_position_initial  ays-quiz-keyboard-label'>9<\/label><label for='ays-answer-284-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['60'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #808080\"><em>At the very top, there is exactly one domino tile. In the second row from the top, there are 1 + 2 = 3 domino tiles. In the next row below, there are 3 + 2 = 5 domino tiles, and in the bottom row, 5 + 2 = 7. This is what the complete pyramid looks like:<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63758\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-2-answer-239x137.png\" alt=\"\" width=\"239\" height=\"137\" \/><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #808080\"><em>At the very top, there is exactly one domino tile. In the second row from the top, there are 1 + 2 = 3 domino tiles. In the next row below, there are 3 + 2 = 5 domino tiles, and in the bottom row, 5 + 2 = 7. This is what the complete pyramid looks like:<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63758\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-2-answer-239x137.png\" alt=\"\" width=\"239\" height=\"137\" \/><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='61' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>3 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>3. <\/p>\n<p style=\"text-align: left\">Paula, Jan, Nele, and Tim have built a slide in Paula\u2019s uncle\u2019s yard. The uncle comes into the yard with five baked apples. Whoever slides the furthest gets the<br \/>\nfirst baked apple. The uncle measures with his steps how far each of them slides:<\/p>\n<p style=\"text-align: left\">Tim and Jan each slide 4 uncle steps.<br \/>\nPaula slides one step less.<br \/>\nThe uncle slides 2 steps.<br \/>\nNele slides 3 steps further than the uncle.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63759\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-3-367x174.png\" alt=\"\" width=\"367\" height=\"174\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-3.png 367w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-3-300x142.png 300w\" sizes=\"auto, (max-width: 367px) 100vw, 367px\" \/><\/p>\n<p style=\"text-align: left\">Who gets the first baked apple?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-61]' id='ays-answer-285-10' value='285'\/>\n\n                <label for='ays-answer-285-10' class='  ays_position_initial  ays-quiz-keyboard-label'>Paula<\/label><label for='ays-answer-285-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-61]' id='ays-answer-286-10' value='286'\/>\n\n                <label for='ays-answer-286-10' class='  ays_position_initial  ays-quiz-keyboard-label'>Jan<\/label><label for='ays-answer-286-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-61]' id='ays-answer-287-10' value='287'\/>\n\n                <label for='ays-answer-287-10' class='  ays_position_initial  ays-quiz-keyboard-label'>the uncle<\/label><label for='ays-answer-287-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-61]' id='ays-answer-288-10' value='288'\/>\n\n                <label for='ays-answer-288-10' class='  ays_position_initial  ays-quiz-keyboard-label'>Nele<\/label><label for='ays-answer-288-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-61]' id='ays-answer-289-10' value='289'\/>\n\n                <label for='ays-answer-289-10' class='  ays_position_initial  ays-quiz-keyboard-label'>Tim<\/label><label for='ays-answer-289-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['61'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #808080\"><em>Tim and Jan each slid 4 steps.<\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>One step less is 3 steps \u2014 that is the distance Paula managed.<\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>Their uncle slid 2 steps.<\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>Nele slid 2 + 3 = 5 steps.<\/em><\/span><\/p>\n<p><span style=\"color: #808080\"><em>Of the numbers 2, 3, 4, and 5, the largest is 5.<\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>Therefore, Nele gets the first baked apple.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #808080\"><em>Tim and Jan each slid 4 steps.<\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>One step less is 3 steps \u2014 that is the distance Paula managed.<\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>Their uncle slid 2 steps.<\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>Nele slid 2 + 3 = 5 steps.<\/em><\/span><\/p>\n<p><span style=\"color: #808080\"><em>Of the numbers 2, 3, 4, and 5, the largest is 5.<\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>Therefore, Nele gets the first baked apple.<\/em><\/span><\/p>\n<p>&nbsp;<\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='62' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>4 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>4. <\/p>\n<p style=\"text-align: left\">Tim, Jan, Nele, and Paula baked a large gingerbread cake with Jan\u2019s grandfather over the weekend. It is almost as big as the baking tray and shaped like a train. The grandmother is the first to taste it. She breaks off a small piece.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63760\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-4-1-669x190.png\" alt=\"\" width=\"669\" height=\"190\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-4-1.png 669w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-4-1-300x85.png 300w\" sizes=\"auto, (max-width: 669px) 100vw, 669px\" \/><\/p>\n<p style=\"text-align: left\">What does the piece that the grandmother broke off look like?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-62]' id='ays-answer-290-10' value='290'\/>\n\n                <label for='ays-answer-290-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>A<\/label><label for='ays-answer-290-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-4-2-168x98.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-62]' id='ays-answer-291-10' value='291'\/>\n\n                <label for='ays-answer-291-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>B<\/label><label for='ays-answer-291-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-4-3-166x118.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-62]' id='ays-answer-292-10' value='292'\/>\n\n                <label for='ays-answer-292-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>C<\/label><label for='ays-answer-292-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-4-4-167x96.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-62]' id='ays-answer-293-10' value='293'\/>\n\n                <label for='ays-answer-293-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>D<\/label><label for='ays-answer-293-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-4-5-165x95.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-62]' id='ays-answer-294-10' value='294'\/>\n\n                <label for='ays-answer-294-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>E<\/label><label for='ays-answer-294-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-4-6-167x94.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['62'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"52\" data-end=\"371\"><span style=\"color: #808080\"><em>The piece at <strong data-start=\"65\" data-end=\"70\">A<\/strong> has its little notch in the wrong place.<\/em><\/span><br data-start=\"111\" data-end=\"114\" \/><span style=\"color: #808080\"><em>The piece at <strong data-start=\"127\" data-end=\"132\">B<\/strong> has a crooked bottom edge, so those two don\u2019t fit.<\/em><\/span><br data-start=\"183\" data-end=\"186\" \/><span style=\"color: #808080\"><em>On piece <strong data-start=\"195\" data-end=\"200\">D<\/strong>, the numbers are mixed up: it has <strong data-start=\"235\" data-end=\"259\">2 stars and 1 almond<\/strong> instead of <strong data-start=\"271\" data-end=\"295\">2 almonds and 1 star<\/strong>.<\/em><\/span><br data-start=\"296\" data-end=\"299\" \/><span style=\"color: #808080\"><em>On piece <strong data-start=\"308\" data-end=\"313\">E<\/strong>, the almonds are lying sideways instead of standing up.<\/em><\/span><\/p>\n<p data-start=\"373\" data-end=\"433\"><span style=\"color: #808080\"><em>Everything is correct on piece <strong data-start=\"404\" data-end=\"409\">C<\/strong> \u2014 that\u2019s the right one!<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"52\" data-end=\"371\"><span style=\"color: #808080\"><em>The piece at <strong data-start=\"65\" data-end=\"70\">A<\/strong> has its little notch in the wrong place.<\/em><\/span><br data-start=\"111\" data-end=\"114\" \/><span style=\"color: #808080\"><em>The piece at <strong data-start=\"127\" data-end=\"132\">B<\/strong> has a crooked bottom edge, so those two don\u2019t fit.<\/em><\/span><br data-start=\"183\" data-end=\"186\" \/><span style=\"color: #808080\"><em>On piece <strong data-start=\"195\" data-end=\"200\">D<\/strong>, the numbers are mixed up: it has <strong data-start=\"235\" data-end=\"259\">2 stars and 1 almond<\/strong> instead of <strong data-start=\"271\" data-end=\"295\">2 almonds and 1 star<\/strong>.<\/em><\/span><br data-start=\"296\" data-end=\"299\" \/><span style=\"color: #808080\"><em>On piece <strong data-start=\"308\" data-end=\"313\">E<\/strong>, the almonds are lying sideways instead of standing up.<\/em><\/span><\/p>\n<p data-start=\"373\" data-end=\"433\"><span style=\"color: #808080\"><em>Everything is correct on piece <strong data-start=\"404\" data-end=\"409\">C<\/strong> \u2014 that\u2019s the right one!<\/em><\/span><\/p>\n<p>&nbsp;<\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='63' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>5 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>5. <\/p>\n<p style=\"text-align: left\">Because today is Friday and tomorrow is St. Nicholas\u2019 Day, Jan, Nele, and Tim are staying overnight at Paula\u2019s house. In the evening, each of the four children cleans a boot. They then place it outside the door. Paula has also placed one of her doll\u2019s little boots in the row.<br \/>\nPaula\u2019s father asks, \u201cWhich boot is whose?\u201d<br \/>\nThe children answer with a riddle.<br \/>\n\u201cPaula\u2019s boot is smaller than Jan\u2019s, but bigger than Tim\u2019s.\u201d<br \/>\n\u201cNele\u2019s boot is bigger than Paula\u2019s doll\u2019s boot, but smaller than Tim\u2019s.\u201d<\/p>\n<p style=\"text-align: left\">\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63766\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-5-668x191.png\" alt=\"\" width=\"668\" height=\"191\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-5.png 668w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-5-300x86.png 300w\" sizes=\"auto, (max-width: 668px) 100vw, 668px\" \/><\/p>\n<p style=\"text-align: left\">Who has the biggest boot?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-63]' id='ays-answer-295-10' value='295'\/>\n\n                <label for='ays-answer-295-10' class='  ays_position_initial  ays-quiz-keyboard-label'>Paula<\/label><label for='ays-answer-295-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-63]' id='ays-answer-296-10' value='296'\/>\n\n                <label for='ays-answer-296-10' class='  ays_position_initial  ays-quiz-keyboard-label'>Jan<\/label><label for='ays-answer-296-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-63]' id='ays-answer-297-10' value='297'\/>\n\n                <label for='ays-answer-297-10' class='  ays_position_initial  ays-quiz-keyboard-label'>Paula&#039;s doll<\/label><label for='ays-answer-297-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-63]' id='ays-answer-298-10' value='298'\/>\n\n                <label for='ays-answer-298-10' class='  ays_position_initial  ays-quiz-keyboard-label'>Nele<\/label><label for='ays-answer-298-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-63]' id='ays-answer-299-10' value='299'\/>\n\n                <label for='ays-answer-299-10' class='  ays_position_initial  ays-quiz-keyboard-label'>Tim<\/label><label for='ays-answer-299-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['63'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"52\" data-end=\"110\"><em><span style=\"color: #808080\">Let\u2019s put the boot sizes in order using the clues we have:<\/span><\/em><\/p>\n<p data-start=\"112\" data-end=\"293\"><em><span style=\"color: #808080\">Jan\u2019s boots are bigger than Paula\u2019s, and Paula\u2019s are bigger than Tim\u2019s.<\/span><\/em><br data-start=\"183\" data-end=\"186\" \/><em><span style=\"color: #808080\">We also know that Tim\u2019s boots are bigger than Nele\u2019s, and Nele\u2019s are bigger than the boots of Paula\u2019s doll.<\/span><\/em><\/p>\n<p data-start=\"295\" data-end=\"427\"><em><span style=\"color: #808080\">So Jan has the biggest boots of all!<\/span><\/em><br data-start=\"331\" data-end=\"334\" \/><em><span style=\"color: #808080\">And here is the order from biggest to smallest:<\/span><\/em><br data-start=\"381\" data-end=\"384\" \/><em><span style=\"color: #808080\"><strong data-start=\"384\" data-end=\"427\">Jan \u2192 Paula \u2192 Tim \u2192 Nele \u2192 Paula\u2019s doll<\/strong><\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"52\" data-end=\"110\"><em><span style=\"color: #808080\">Let\u2019s put the boot sizes in order using the clues we have:<\/span><\/em><\/p>\n<p data-start=\"112\" data-end=\"293\"><em><span style=\"color: #808080\">Jan\u2019s boots are bigger than Paula\u2019s, and Paula\u2019s are bigger than Tim\u2019s.<\/span><\/em><br data-start=\"183\" data-end=\"186\" \/><em><span style=\"color: #808080\">We also know that Tim\u2019s boots are bigger than Nele\u2019s, and Nele\u2019s are bigger than the boots of Paula\u2019s doll.<\/span><\/em><\/p>\n<p data-start=\"295\" data-end=\"427\"><em><span style=\"color: #808080\">So Jan has the biggest boots of all!<\/span><\/em><br data-start=\"331\" data-end=\"334\" \/><em><span style=\"color: #808080\">And here is the order from biggest to smallest:<\/span><\/em><br data-start=\"381\" data-end=\"384\" \/><em><span style=\"color: #808080\"><strong data-start=\"384\" data-end=\"427\">Jan \u2192 Paula \u2192 Tim \u2192 Nele \u2192 Paula\u2019s doll<\/strong><\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='66' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>6 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>6. <\/p>\n<p style=\"text-align: left\">Today is St. Nicholas\u2019 Day.<br \/>\nNele, Jan, Tim, and Paula are curious. What might be in their St. Nicholas\u2019 boots?<br \/>\nEach child found a small toy, nuts, and sweets.<br \/>\nEach child has 5 chocolate rings in their boot. The children place them all on a shared St. Nicholas\u2019 plate.<\/p>\n<p style=\"text-align: left\">\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63767\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-6-369x306.png\" alt=\"\" width=\"369\" height=\"306\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-6.png 369w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-6-300x249.png 300w\" sizes=\"auto, (max-width: 369px) 100vw, 369px\" \/><\/p>\n<p style=\"text-align: left\">How many chocolate rings are there on St. Nicholas\u2019 plate?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-66]' id='ays-answer-310-10' value='310'\/>\n\n                <label for='ays-answer-310-10' class='  ays_position_initial  ays-quiz-keyboard-label'>13<\/label><label for='ays-answer-310-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-66]' id='ays-answer-311-10' value='311'\/>\n\n                <label for='ays-answer-311-10' class='  ays_position_initial  ays-quiz-keyboard-label'>15<\/label><label for='ays-answer-311-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-66]' id='ays-answer-312-10' value='312'\/>\n\n                <label for='ays-answer-312-10' class='  ays_position_initial  ays-quiz-keyboard-label'>16<\/label><label for='ays-answer-312-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-66]' id='ays-answer-313-10' value='313'\/>\n\n                <label for='ays-answer-313-10' class='  ays_position_initial  ays-quiz-keyboard-label'>19<\/label><label for='ays-answer-313-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-66]' id='ays-answer-314-10' value='314'\/>\n\n                <label for='ays-answer-314-10' class='  ays_position_initial  ays-quiz-keyboard-label'>20<\/label><label for='ays-answer-314-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['66'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"54\" data-end=\"189\"><span style=\"color: #808080\"><em>Each child found <strong data-start=\"71\" data-end=\"92\">5 chocolate rings<\/strong> in their boot.<\/em><\/span><br data-start=\"107\" data-end=\"110\" \/><span style=\"color: #808080\"><em>There are <strong data-start=\"120\" data-end=\"134\">4 children<\/strong>, so altogether that is <strong data-start=\"158\" data-end=\"186\">5 + 5 + 5 + 5 = 20 rings<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"191\" data-end=\"265\"><span style=\"color: #808080\"><em>If you already know how to multiply, you can write it as <strong data-start=\"248\" data-end=\"262\">4 \u00d7 5 = 20<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"54\" data-end=\"189\"><span style=\"color: #808080\"><em>Each child found <strong data-start=\"71\" data-end=\"92\">5 chocolate rings<\/strong> in their boot.<\/em><\/span><br data-start=\"107\" data-end=\"110\" \/><span style=\"color: #808080\"><em>There are <strong data-start=\"120\" data-end=\"134\">4 children<\/strong>, so altogether that is <strong data-start=\"158\" data-end=\"186\">5 + 5 + 5 + 5 = 20 rings<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"191\" data-end=\"265\"><span style=\"color: #808080\"><em>If you already know how to multiply, you can write it as <strong data-start=\"248\" data-end=\"262\">4 \u00d7 5 = 20<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='64' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>7 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>7. <\/p>\n<p style=\"text-align: left\">Paula, Jan, Tim, and Nele are meeting up with a few other children today to rehearse for the school\u2019s Christmas party. The four friends have brought cinnamon stars for everyone. Mr Knapp is rehearsing with the children for the party.<br \/>\n\u201cWho brought us all these cinnamon stars?\u201d he asks. The children shout out wildly.<br \/>\nJan says, \u201cI brought more than 3.\u201d<br \/>\nNele says, \u201cBut Jan brought fewer than 5, and I brought one fewer than Jan.\u201d<br \/>\nTim says, \u201cI brought twice as many as Nele.\u201d<br \/>\nPaula says, \u201cI brought 2 fewer than Tim.\u201d<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63768\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-7-423x190.png\" alt=\"\" width=\"423\" height=\"190\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-7.png 423w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-7-300x135.png 300w\" sizes=\"auto, (max-width: 423px) 100vw, 423px\" \/><\/p>\n<p style=\"text-align: left\">How many cinnamon stars did the four friends bring in total?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-64]' id='ays-answer-300-10' value='300'\/>\n\n                <label for='ays-answer-300-10' class='  ays_position_initial  ays-quiz-keyboard-label'>9<\/label><label for='ays-answer-300-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-64]' id='ays-answer-301-10' value='301'\/>\n\n                <label for='ays-answer-301-10' class='  ays_position_initial  ays-quiz-keyboard-label'>11<\/label><label for='ays-answer-301-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-64]' id='ays-answer-302-10' value='302'\/>\n\n                <label for='ays-answer-302-10' class='  ays_position_initial  ays-quiz-keyboard-label'>14<\/label><label for='ays-answer-302-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-64]' id='ays-answer-303-10' value='303'\/>\n\n                <label for='ays-answer-303-10' class='  ays_position_initial  ays-quiz-keyboard-label'>15<\/label><label for='ays-answer-303-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-64]' id='ays-answer-304-10' value='304'\/>\n\n                <label for='ays-answer-304-10' class='  ays_position_initial  ays-quiz-keyboard-label'>17<\/label><label for='ays-answer-304-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['64'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"54\" data-end=\"213\"><span style=\"color: #808080\"><em>Jan brought <strong data-start=\"66\" data-end=\"97\">more than 3 but less than 5<\/strong> cinnamon stars.<\/em><\/span><br data-start=\"113\" data-end=\"116\" \/><span style=\"color: #808080\"><em>The only number bigger than 3 and smaller than 5 is <strong data-start=\"168\" data-end=\"173\">4<\/strong>, so Jan brought <strong data-start=\"190\" data-end=\"210\">4 cinnamon stars<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"215\" data-end=\"452\"><span style=\"color: #808080\"><em>Nele brought <strong data-start=\"228\" data-end=\"249\">one less than Jan<\/strong>, so she has <strong data-start=\"262\" data-end=\"290\">4 \u2013 1 = 3 cinnamon stars<\/strong>.<\/em><\/span><br data-start=\"291\" data-end=\"294\" \/><span style=\"color: #808080\"><em>Tim brought <strong data-start=\"306\" data-end=\"331\">twice as many as Nele<\/strong>, so he has <strong data-start=\"343\" data-end=\"371\">3 + 3 = 6 cinnamon stars<\/strong>.<\/em><\/span><br data-start=\"372\" data-end=\"375\" data-is-only-node=\"\" \/><span style=\"color: #808080\"><em>Paula brought <strong data-start=\"389\" data-end=\"408\">2 less than Tim<\/strong>, so she has <strong data-start=\"421\" data-end=\"449\">6 \u2013 2 = 4 cinnamon stars<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"454\" data-end=\"514\"><span style=\"color: #808080\"><em>Altogether, that is <strong data-start=\"474\" data-end=\"511\">4 + 3 + 6 + 4 = 17 cinnamon stars<\/strong>!<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"54\" data-end=\"213\"><span style=\"color: #808080\"><em>Jan brought <strong data-start=\"66\" data-end=\"97\">more than 3 but less than 5<\/strong> cinnamon stars.<\/em><\/span><br data-start=\"113\" data-end=\"116\" \/><span style=\"color: #808080\"><em>The only number bigger than 3 and smaller than 5 is <strong data-start=\"168\" data-end=\"173\">4<\/strong>, so Jan brought <strong data-start=\"190\" data-end=\"210\">4 cinnamon stars<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"215\" data-end=\"452\"><span style=\"color: #808080\"><em>Nele brought <strong data-start=\"228\" data-end=\"249\">one less than Jan<\/strong>, so she has <strong data-start=\"262\" data-end=\"290\">4 \u2013 1 = 3 cinnamon stars<\/strong>.<\/em><\/span><br data-start=\"291\" data-end=\"294\" \/><span style=\"color: #808080\"><em>Tim brought <strong data-start=\"306\" data-end=\"331\">twice as many as Nele<\/strong>, so he has <strong data-start=\"343\" data-end=\"371\">3 + 3 = 6 cinnamon stars<\/strong>.<\/em><\/span><br data-start=\"372\" data-end=\"375\" data-is-only-node=\"\" \/><span style=\"color: #808080\"><em>Paula brought <strong data-start=\"389\" data-end=\"408\">2 less than Tim<\/strong>, so she has <strong data-start=\"421\" data-end=\"449\">6 \u2013 2 = 4 cinnamon stars<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"454\" data-end=\"514\"><span style=\"color: #808080\"><em>Altogether, that is <strong data-start=\"474\" data-end=\"511\">4 + 3 + 6 + 4 = 17 cinnamon stars<\/strong>!<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='65' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>8 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>8. <\/p>\n<p style=\"text-align: left\">Tim, Jan, Paula, and Nele are at the adventure playground.<br \/>\nWhen they take a break, Nele pulls a small bag full of fragrant Christmas almonds out of her rucksack.<br \/>\nThere are 20 Christmas almonds in total.<br \/>\nPaula says, \u201cI brought 2 fewer than Tim.\u201d<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63769\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-8-195x266.png\" alt=\"\" width=\"195\" height=\"266\" \/><\/p>\n<p style=\"text-align: left\">\u201cGreat,\u201d says Nele happily, \u201c20 pieces! I\u2019ll divide them up, and each of us will get the same amount.\u201d<br \/>\nHow many will each of them get?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-65]' id='ays-answer-305-10' value='305'\/>\n\n                <label for='ays-answer-305-10' class='  ays_position_initial  ays-quiz-keyboard-label'>2<\/label><label for='ays-answer-305-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-65]' id='ays-answer-306-10' value='306'\/>\n\n                <label for='ays-answer-306-10' class='  ays_position_initial  ays-quiz-keyboard-label'>3<\/label><label for='ays-answer-306-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-65]' id='ays-answer-307-10' value='307'\/>\n\n                <label for='ays-answer-307-10' class='  ays_position_initial  ays-quiz-keyboard-label'>4<\/label><label for='ays-answer-307-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-65]' id='ays-answer-308-10' value='308'\/>\n\n                <label for='ays-answer-308-10' class='  ays_position_initial  ays-quiz-keyboard-label'>5<\/label><label for='ays-answer-308-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-65]' id='ays-answer-309-10' value='309'\/>\n\n                <label for='ays-answer-309-10' class='  ays_position_initial  ays-quiz-keyboard-label'>6<\/label><label for='ays-answer-309-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['65'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"54\" data-end=\"140\"><span style=\"color: #808080\"><em>Nele has <strong data-start=\"63\" data-end=\"87\">20 Christmas almonds<\/strong>.<\/em><\/span><br data-start=\"88\" data-end=\"91\" \/><span style=\"color: #808080\"><em>We can divide this number by 4: <strong data-start=\"123\" data-end=\"137\">20 \u00f7 4 = 5<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"142\" data-end=\"358\"><span style=\"color: #808080\"><em>If you don\u2019t know how to divide yet, you can do it this way:<\/em><\/span><br data-start=\"202\" data-end=\"205\" \/><span style=\"color: #808080\"><em>Imagine Nele gives <strong data-start=\"224\" data-end=\"252\">one almond to each child<\/strong>, then a <strong data-start=\"261\" data-end=\"271\">second<\/strong>, a <strong data-start=\"275\" data-end=\"284\">third<\/strong>, a <strong data-start=\"288\" data-end=\"298\">fourth<\/strong>, and finally a <strong data-start=\"314\" data-end=\"323\" data-is-only-node=\"\">fifth<\/strong>, until all the almonds are gone.<\/em><\/span><\/p>\n<p data-start=\"360\" data-end=\"454\"><span style=\"color: #808080\"><em>This way, she shares the <strong data-start=\"385\" data-end=\"416\">20 almonds among 4 children<\/strong>, and <strong data-start=\"422\" data-end=\"451\">each child gets 5 almonds<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"54\" data-end=\"140\"><span style=\"color: #808080\"><em>Nele has <strong data-start=\"63\" data-end=\"87\">20 Christmas almonds<\/strong>.<\/em><\/span><br data-start=\"88\" data-end=\"91\" \/><span style=\"color: #808080\"><em>We can divide this number by 4: <strong data-start=\"123\" data-end=\"137\">20 \u00f7 4 = 5<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"142\" data-end=\"358\"><span style=\"color: #808080\"><em>If you don\u2019t know how to divide yet, you can do it this way:<\/em><\/span><br data-start=\"202\" data-end=\"205\" \/><span style=\"color: #808080\"><em>Imagine Nele gives <strong data-start=\"224\" data-end=\"252\">one almond to each child<\/strong>, then a <strong data-start=\"261\" data-end=\"271\">second<\/strong>, a <strong data-start=\"275\" data-end=\"284\">third<\/strong>, a <strong data-start=\"288\" data-end=\"298\">fourth<\/strong>, and finally a <strong data-start=\"314\" data-end=\"323\" data-is-only-node=\"\">fifth<\/strong>, until all the almonds are gone.<\/em><\/span><\/p>\n<p data-start=\"360\" data-end=\"454\"><span style=\"color: #808080\"><em>This way, she shares the <strong data-start=\"385\" data-end=\"416\">20 almonds among 4 children<\/strong>, and <strong data-start=\"422\" data-end=\"451\">each child gets 5 almonds<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='67' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>9 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>9. <\/p>\n<p style=\"text-align: left\">Jan found a recipe for marzipan in an old baking book at his grandmother\u2019s house. Now Paula, Nele, and Tim want to make marzipan together<br \/>\nwith Jan and his grandmother. First, they remove the brown peel from the almonds. Then they grind the almonds very finely. Next, they knead the ground almonds with icing sugar and spices. Finally, they add 15 drops of rose water.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63770\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-9-369x364.png\" alt=\"\" width=\"369\" height=\"364\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-9.png 369w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-9-300x296.png 300w\" sizes=\"auto, (max-width: 369px) 100vw, 369px\" \/><\/p>\n<p style=\"text-align: left\">Jan first tries it out with water. He wants to put 15 drops of water into a glass.<br \/>\nNele counts the drops: one, two, three, four.<br \/>\nHow many drops of water are still needed until there are 15?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-67]' id='ays-answer-315-10' value='315'\/>\n\n                <label for='ays-answer-315-10' class='  ays_position_initial  ays-quiz-keyboard-label'>10<\/label><label for='ays-answer-315-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-67]' id='ays-answer-316-10' value='316'\/>\n\n                <label for='ays-answer-316-10' class='  ays_position_initial  ays-quiz-keyboard-label'>13<\/label><label for='ays-answer-316-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-67]' id='ays-answer-317-10' value='317'\/>\n\n                <label for='ays-answer-317-10' class='  ays_position_initial  ays-quiz-keyboard-label'>7<\/label><label for='ays-answer-317-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-67]' id='ays-answer-318-10' value='318'\/>\n\n                <label for='ays-answer-318-10' class='  ays_position_initial  ays-quiz-keyboard-label'>11<\/label><label for='ays-answer-318-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-67]' id='ays-answer-319-10' value='319'\/>\n\n                <label for='ays-answer-319-10' class='  ays_position_initial  ays-quiz-keyboard-label'>9<\/label><label for='ays-answer-319-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['67'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"54\" data-end=\"130\"><span style=\"color: #808080\"><em>To find the missing number of drops, you can do the math: <strong data-start=\"112\" data-end=\"127\">15 \u2013 4 = 11<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"132\" data-end=\"347\"><span style=\"color: #808080\"><em>But you can also figure it out by counting on:<\/em><\/span><br data-start=\"178\" data-end=\"181\" \/><span style=\"color: #808080\"><em>After the <strong data-start=\"191\" data-end=\"203\">4th drop<\/strong>, the <strong data-start=\"209\" data-end=\"221\">5th drop<\/strong> is the <strong data-start=\"229\" data-end=\"249\">1st missing drop<\/strong>, the <strong data-start=\"255\" data-end=\"267\" data-is-only-node=\"\">6th drop<\/strong> is the <strong data-start=\"275\" data-end=\"295\">2nd missing drop<\/strong>, and so on, until you find all the missing drops.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"54\" data-end=\"130\"><span style=\"color: #808080\"><em>To find the missing number of drops, you can do the math: <strong data-start=\"112\" data-end=\"127\">15 \u2013 4 = 11<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"132\" data-end=\"347\"><span style=\"color: #808080\"><em>But you can also figure it out by counting on:<\/em><\/span><br data-start=\"178\" data-end=\"181\" \/><span style=\"color: #808080\"><em>After the <strong data-start=\"191\" data-end=\"203\">4th drop<\/strong>, the <strong data-start=\"209\" data-end=\"221\">5th drop<\/strong> is the <strong data-start=\"229\" data-end=\"249\">1st missing drop<\/strong>, the <strong data-start=\"255\" data-end=\"267\" data-is-only-node=\"\">6th drop<\/strong> is the <strong data-start=\"275\" data-end=\"295\">2nd missing drop<\/strong>, and so on, until you find all the missing drops.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='68' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>10 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>10. <\/p>\n<p style=\"text-align: left\">Yesterday, Nele, Paula, Jan, and Tim kneaded marzipan. Today, they are shaping it into marzipan potatoes. These are then rolled in cocoa powder. Now they look great. Nele is building a pyramid out of some of the marzipan potatoes.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63771\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-10-252x207.png\" alt=\"\" width=\"252\" height=\"207\" \/><\/p>\n<p style=\"text-align: left\">For the bottom layer, Nele arranges the marzipan potatoes close together in a triangle. Then she places the second layer on top and finally one marzipan potato as the tip. How many marzipan potatoes does Nele need to build the pyramid?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-68]' id='ays-answer-320-10' value='320'\/>\n\n                <label for='ays-answer-320-10' class='  ays_position_initial  ays-quiz-keyboard-label'>7<\/label><label for='ays-answer-320-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-68]' id='ays-answer-321-10' value='321'\/>\n\n                <label for='ays-answer-321-10' class='  ays_position_initial  ays-quiz-keyboard-label'>8<\/label><label for='ays-answer-321-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-68]' id='ays-answer-322-10' value='322'\/>\n\n                <label for='ays-answer-322-10' class='  ays_position_initial  ays-quiz-keyboard-label'>10<\/label><label for='ays-answer-322-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-68]' id='ays-answer-323-10' value='323'\/>\n\n                <label for='ays-answer-323-10' class='  ays_position_initial  ays-quiz-keyboard-label'>12<\/label><label for='ays-answer-323-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-68]' id='ays-answer-324-10' value='324'\/>\n\n                <label for='ays-answer-324-10' class='  ays_position_initial  ays-quiz-keyboard-label'>15<\/label><label for='ays-answer-324-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['68'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"54\" data-end=\"229\"><span style=\"color: #808080\"><em>In the bottom layer, there are <strong data-start=\"85\" data-end=\"108\">6 marzipan potatoes<\/strong> lying close together.<\/em><\/span><br data-start=\"130\" data-end=\"133\" \/><span style=\"color: #808080\"><em>In the second layer, there are <strong data-start=\"164\" data-end=\"187\">3 marzipan potatoes<\/strong>.<\/em><\/span><br data-start=\"188\" data-end=\"191\" \/><span style=\"color: #808080\"><em>And at the top, there is <strong data-start=\"216\" data-end=\"226\">1 more<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"54\" data-end=\"229\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63772\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-10a-287x107.png\" alt=\"\" width=\"287\" height=\"107\" \/><\/p>\n<p data-start=\"231\" data-end=\"293\"><span style=\"color: #808080\"><em>Altogether, that makes <strong data-start=\"254\" data-end=\"290\">6 + 3 + 1 = 10 marzipan potatoes<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"54\" data-end=\"229\"><span style=\"color: #808080\"><em>In the bottom layer, there are <strong data-start=\"85\" data-end=\"108\">6 marzipan potatoes<\/strong> lying close together.<\/em><\/span><br data-start=\"130\" data-end=\"133\" \/><span style=\"color: #808080\"><em>In the second layer, there are <strong data-start=\"164\" data-end=\"187\">3 marzipan potatoes<\/strong>.<\/em><\/span><br data-start=\"188\" data-end=\"191\" \/><span style=\"color: #808080\"><em>And at the top, there is <strong data-start=\"216\" data-end=\"226\">1 more<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"54\" data-end=\"229\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63772\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-10a-287x107.png\" alt=\"\" width=\"287\" height=\"107\" \/><\/p>\n<p data-start=\"231\" data-end=\"293\"><span style=\"color: #808080\"><em>Altogether, that makes <strong data-start=\"254\" data-end=\"290\">6 + 3 + 1 = 10 marzipan potatoes<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='69' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>11 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>11. <\/p>\n<p style=\"text-align: left\">Paula, Nele, Jan, and Tim are going shopping together today to buy some ingredients for baking stollen.<\/p>\n<p style=\"text-align: left\">They buy:<br \/>\n2 bags of flour,<br \/>\n1 bag of sugar,<br \/>\n5 packs of butter,<br \/>\n1 bottle of milk,<br \/>\n1 packet of icing sugar,<br \/>\n2 bags of raisins,<br \/>\n1 bag of almonds and<br \/>\n3 packets of candied lemon peel.<\/p>\n<p style=\"text-align: left\">\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63773\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-11-594x286.png\" alt=\"\" width=\"594\" height=\"286\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-11.png 594w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-11-300x144.png 300w\" sizes=\"auto, (max-width: 594px) 100vw, 594px\" \/><\/p>\n<p style=\"text-align: left\">After Paula has paid, the four friends divide up the shopping. Everyone gets the same number of items in their rucksack.<br \/>\nHow many items does each of them have to carry?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-69]' id='ays-answer-325-10' value='325'\/>\n\n                <label for='ays-answer-325-10' class='  ays_position_initial  ays-quiz-keyboard-label'>2<\/label><label for='ays-answer-325-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-69]' id='ays-answer-326-10' value='326'\/>\n\n                <label for='ays-answer-326-10' class='  ays_position_initial  ays-quiz-keyboard-label'>3<\/label><label for='ays-answer-326-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-69]' id='ays-answer-327-10' value='327'\/>\n\n                <label for='ays-answer-327-10' class='  ays_position_initial  ays-quiz-keyboard-label'>4<\/label><label for='ays-answer-327-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-69]' id='ays-answer-328-10' value='328'\/>\n\n                <label for='ays-answer-328-10' class='  ays_position_initial  ays-quiz-keyboard-label'>5<\/label><label for='ays-answer-328-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-69]' id='ays-answer-329-10' value='329'\/>\n\n                <label for='ays-answer-329-10' class='  ays_position_initial  ays-quiz-keyboard-label'>6<\/label><label for='ays-answer-329-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['69'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"54\" data-end=\"229\"><span style=\"color: #808080\"><em>The easiest way to solve this is to give the shopping items to the 4 friends one by one.<\/em><\/span><br data-start=\"142\" data-end=\"145\" \/><span style=\"color: #808080\"><em>Then each child\u2019s backpack will have:<\/em><\/span><\/p>\n<ol data-start=\"186\" data-end=\"356\">\n<li data-start=\"186\" data-end=\"218\">\n<p data-start=\"189\" data-end=\"218\"><span style=\"color: #808080\"><em>Flour, Flour, Sugar, Butter<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"219\" data-end=\"254\">\n<p data-start=\"222\" data-end=\"254\"><span style=\"color: #808080\"><em>Butter, Butter, Butter, Butter<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"255\" data-end=\"298\">\n<p data-start=\"258\" data-end=\"298\"><span style=\"color: #808080\"><em>Milk, Powdered Sugar, Raisins, Raisins<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"299\" data-end=\"356\">\n<p data-start=\"302\" data-end=\"356\"><span style=\"color: #808080\"><em>Almonds, Candied Lemon, Candied Lemon, Candied Lemon<\/em><\/span><\/p>\n<\/li>\n<\/ol>\n<p data-start=\"358\" data-end=\"429\"><span style=\"color: #808080\"><em>We can see that <strong data-start=\"374\" data-end=\"408\">each child has exactly 4 items<\/strong> in their backpack.<\/em><\/span><\/p>\n<p data-start=\"431\" data-end=\"622\"><span style=\"color: #808080\"><em>If you already know how to do the math, you can also add up the numbers on the shopping list and divide by the number of children:<\/em><\/span><br data-start=\"561\" data-end=\"564\" \/><span style=\"color: #808080\"><em><strong data-start=\"564\" data-end=\"602\">2 + 1 + 5 + 1 + 1 + 2 + 1 + 3 = 16<\/strong> \u2192 <strong data-start=\"605\" data-end=\"619\">16 \u00f7 4 = 4<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"54\" data-end=\"229\"><span style=\"color: #808080\"><em>The easiest way to solve this is to give the shopping items to the 4 friends one by one.<\/em><\/span><br data-start=\"142\" data-end=\"145\" \/><span style=\"color: #808080\"><em>Then each child\u2019s backpack will have:<\/em><\/span><\/p>\n<ol data-start=\"186\" data-end=\"356\">\n<li data-start=\"186\" data-end=\"218\">\n<p data-start=\"189\" data-end=\"218\"><span style=\"color: #808080\"><em>Flour, Flour, Sugar, Butter<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"219\" data-end=\"254\">\n<p data-start=\"222\" data-end=\"254\"><span style=\"color: #808080\"><em>Butter, Butter, Butter, Butter<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"255\" data-end=\"298\">\n<p data-start=\"258\" data-end=\"298\"><span style=\"color: #808080\"><em>Milk, Powdered Sugar, Raisins, Raisins<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"299\" data-end=\"356\">\n<p data-start=\"302\" data-end=\"356\"><span style=\"color: #808080\"><em>Almonds, Candied Lemon, Candied Lemon, Candied Lemon<\/em><\/span><\/p>\n<\/li>\n<\/ol>\n<p data-start=\"358\" data-end=\"429\"><span style=\"color: #808080\"><em>We can see that <strong data-start=\"374\" data-end=\"408\">each child has exactly 4 items<\/strong> in their backpack.<\/em><\/span><\/p>\n<p data-start=\"431\" data-end=\"622\"><span style=\"color: #808080\"><em>If you already know how to do the math, you can also add up the numbers on the shopping list and divide by the number of children:<\/em><\/span><br data-start=\"561\" data-end=\"564\" \/><span style=\"color: #808080\"><em><strong data-start=\"564\" data-end=\"602\">2 + 1 + 5 + 1 + 1 + 2 + 1 + 3 = 16<\/strong> \u2192 <strong data-start=\"605\" data-end=\"619\">16 \u00f7 4 = 4<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='70' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>12 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>12. <\/p>\n<p style=\"text-align: left\">Tim, Nele, Jan, and Paula have baked coconut macaroons. Now the macaroons are lying in a row on the kitchen table to cool down, 15 macaroons in total.<br \/>\nTim coats every third macaroon in the row with chocolate. Paula puts a blob of sugar icing on the remaining macaroons, and Nele sprinkles colourful sprinkles on top of it. Jan counts how many coconut macaroons of each type there are.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63775\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-12-623x369.png\" alt=\"\" width=\"623\" height=\"369\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-12.png 623w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-12-300x178.png 300w\" sizes=\"auto, (max-width: 623px) 100vw, 623px\" \/><\/p>\n<p style=\"text-align: left\">How many of the 15 coconut macaroons have sugar icing and sprinkles at the end?<\/p>\n<p>&nbsp;<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-70]' id='ays-answer-330-10' value='330'\/>\n\n                <label for='ays-answer-330-10' class='  ays_position_initial  ays-quiz-keyboard-label'>4<\/label><label for='ays-answer-330-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-70]' id='ays-answer-331-10' value='331'\/>\n\n                <label for='ays-answer-331-10' class='  ays_position_initial  ays-quiz-keyboard-label'>6<\/label><label for='ays-answer-331-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-70]' id='ays-answer-332-10' value='332'\/>\n\n                <label for='ays-answer-332-10' class='  ays_position_initial  ays-quiz-keyboard-label'>7<\/label><label for='ays-answer-332-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-70]' id='ays-answer-333-10' value='333'\/>\n\n                <label for='ays-answer-333-10' class='  ays_position_initial  ays-quiz-keyboard-label'>9<\/label><label for='ays-answer-333-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-70]' id='ays-answer-334-10' value='334'\/>\n\n                <label for='ays-answer-334-10' class='  ays_position_initial  ays-quiz-keyboard-label'>10<\/label><label for='ays-answer-334-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['70'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"62\" data-end=\"224\"><em><span style=\"color: #808080\">If you count <strong data-start=\"75\" data-end=\"107\">every third coconut macaroon<\/strong> in the picture, including the ones <strong data-start=\"143\" data-end=\"172\">behind the jug or a glass<\/strong>, you will see that <strong data-start=\"192\" data-end=\"221\">5 get a chocolate coating<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"226\" data-end=\"334\"><em><span style=\"color: #808080\">That means the remaining <strong data-start=\"251\" data-end=\"284\">15 \u2013 5 = 10 coconut macaroons<\/strong> will be decorated with <strong data-start=\"308\" data-end=\"331\">icing and sprinkles<\/strong>.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"62\" data-end=\"224\"><em><span style=\"color: #808080\">If you count <strong data-start=\"75\" data-end=\"107\">every third coconut macaroon<\/strong> in the picture, including the ones <strong data-start=\"143\" data-end=\"172\">behind the jug or a glass<\/strong>, you will see that <strong data-start=\"192\" data-end=\"221\">5 get a chocolate coating<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"226\" data-end=\"334\"><em><span style=\"color: #808080\">That means the remaining <strong data-start=\"251\" data-end=\"284\">15 \u2013 5 = 10 coconut macaroons<\/strong> will be decorated with <strong data-start=\"308\" data-end=\"331\">icing and sprinkles<\/strong>.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='84' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>13 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>13. <\/p>\n<p style=\"text-align: left\">This morning, Jan invited his friends over to bake. Paula wasn\u2019t there. They want to bake something as a surprise because it\u2019s Paula\u2019s birthday today. Jan, Tim, and Nele baked a honey cake and cut it into hexagons. Tim writes letters on top with icing. And then they arrange the honey cakes into a diamond shape. Paula\u2019s nickname, PAULI, can now be read on it, starting from the top and going down to the bottom.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63854\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-13-436x364.png\" alt=\"\" width=\"436\" height=\"364\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-13.png 436w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-13-300x250.png 300w\" sizes=\"auto, (max-width: 436px) 100vw, 436px\" \/><\/p>\n<p style=\"text-align: left\">How many different ways are there to read PAULI?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-84]' id='ays-answer-400-10' value='400'\/>\n\n                <label for='ays-answer-400-10' class='  ays_position_initial  ays-quiz-keyboard-label'>5<\/label><label for='ays-answer-400-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-84]' id='ays-answer-401-10' value='401'\/>\n\n                <label for='ays-answer-401-10' class='  ays_position_initial  ays-quiz-keyboard-label'>6<\/label><label for='ays-answer-401-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-84]' id='ays-answer-402-10' value='402'\/>\n\n                <label for='ays-answer-402-10' class='  ays_position_initial  ays-quiz-keyboard-label'>7<\/label><label for='ays-answer-402-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-84]' id='ays-answer-403-10' value='403'\/>\n\n                <label for='ays-answer-403-10' class='  ays_position_initial  ays-quiz-keyboard-label'>8<\/label><label for='ays-answer-403-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-84]' id='ays-answer-404-10' value='404'\/>\n\n                <label for='ays-answer-404-10' class='  ays_position_initial  ays-quiz-keyboard-label'>9<\/label><label for='ays-answer-404-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['84'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"334\" data-end=\"479\"><em><span style=\"color: #808080\">We draw <strong data-start=\"263\" data-end=\"286\">six different paths<\/strong> that spell the name <strong data-start=\"307\" data-end=\"316\">PAULI<\/strong> when we read the letters one after another.<\/span><\/em><\/p>\n<p data-start=\"334\" data-end=\"479\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63855\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-13a-664x278.png\" alt=\"\" width=\"664\" height=\"278\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-13a.png 664w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-13a-300x126.png 300w\" sizes=\"auto, (max-width: 664px) 100vw, 664px\" \/><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"334\" data-end=\"479\"><em><span style=\"color: #808080\">We draw <strong data-start=\"263\" data-end=\"286\">six different paths<\/strong> that spell the name <strong data-start=\"307\" data-end=\"316\">PAULI<\/strong> when we read the letters one after another.<\/span><\/em><\/p>\n<p data-start=\"334\" data-end=\"479\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63855\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-13a-664x278.png\" alt=\"\" width=\"664\" height=\"278\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-13a.png 664w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-13a-300x126.png 300w\" sizes=\"auto, (max-width: 664px) 100vw, 664px\" \/><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='88' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>14 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>14. <\/p>\n<p style=\"text-align: left\">Nele, Paula, Tim, Jan, and the twins Leo and Lena are going to the cinema together today. Nele loves watching fairy tales. Today they are showing \u2018Snow White\u2019. Everyone knows the film already, but they all like it. Tim has brought speculoos biscuits for everyone. There are 18 pieces in the<br \/>\npacket. Each child gets the same number.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63865\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-14-264x194.png\" alt=\"\" width=\"264\" height=\"194\" \/><\/p>\n<p style=\"text-align: left\">How many speculoos biscuits does each of the 6 children get?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-88]' id='ays-answer-420-10' value='420'\/>\n\n                <label for='ays-answer-420-10' class='  ays_position_initial  ays-quiz-keyboard-label'>6<\/label><label for='ays-answer-420-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-88]' id='ays-answer-421-10' value='421'\/>\n\n                <label for='ays-answer-421-10' class='  ays_position_initial  ays-quiz-keyboard-label'>5<\/label><label for='ays-answer-421-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-88]' id='ays-answer-422-10' value='422'\/>\n\n                <label for='ays-answer-422-10' class='  ays_position_initial  ays-quiz-keyboard-label'>4<\/label><label for='ays-answer-422-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-88]' id='ays-answer-423-10' value='423'\/>\n\n                <label for='ays-answer-423-10' class='  ays_position_initial  ays-quiz-keyboard-label'>3<\/label><label for='ays-answer-423-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-88]' id='ays-answer-424-10' value='424'\/>\n\n                <label for='ays-answer-424-10' class='  ays_position_initial  ays-quiz-keyboard-label'>2<\/label><label for='ays-answer-424-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['88'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p data-start=\"533\" data-end=\"567\">\n<p data-start=\"51\" data-end=\"119\"><span style=\"color: #808080\"><em>Let\u2019s imagine how <strong data-start=\"69\" data-end=\"98\">Tim shares the 18 cookies<\/strong> with <strong data-start=\"104\" data-end=\"118\">6 children<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"121\" data-end=\"215\"><span style=\"color: #808080\"><em>First, <strong data-start=\"128\" data-end=\"156\">each child gets 1 cookie<\/strong>.<\/em><\/span><br data-start=\"157\" data-end=\"160\" \/><span style=\"color: #808080\"><em>Now there are <strong data-start=\"174\" data-end=\"197\">18 \u2212 6 = 12 cookies<\/strong> left in the pack.<\/em><\/span><\/p>\n<p data-start=\"217\" data-end=\"312\"><span style=\"color: #808080\"><em>Next, Tim gives <strong data-start=\"233\" data-end=\"252\">a second cookie<\/strong> to each child.<\/em><\/span><br data-start=\"267\" data-end=\"270\" \/><span style=\"color: #808080\"><em>Now there are <strong data-start=\"284\" data-end=\"306\">12 \u2212 6 = 6 cookies<\/strong> left.<\/em><\/span><\/p>\n<p data-start=\"314\" data-end=\"369\"><span style=\"color: #808080\"><em>These are enough to give <strong data-start=\"339\" data-end=\"368\">each child a third cookie<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"371\" data-end=\"411\"><span style=\"color: #808080\"><em>So <strong data-start=\"374\" data-end=\"404\">every child gets 3 cookies<\/strong> \ud83c\udf6a\ud83c\udf6a\ud83c\udf6a<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"51\" data-end=\"119\"><span style=\"color: #808080\"><em>Let\u2019s imagine how <strong data-start=\"69\" data-end=\"98\">Tim shares the 18 cookies<\/strong> with <strong data-start=\"104\" data-end=\"118\">6 children<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"121\" data-end=\"215\"><span style=\"color: #808080\"><em>First, <strong data-start=\"128\" data-end=\"156\">each child gets 1 cookie<\/strong>.<\/em><\/span><br data-start=\"157\" data-end=\"160\" \/><span style=\"color: #808080\"><em>Now there are <strong data-start=\"174\" data-end=\"197\">18 \u2212 6 = 12 cookies<\/strong> left in the pack.<\/em><\/span><\/p>\n<p data-start=\"217\" data-end=\"312\"><span style=\"color: #808080\"><em>Next, Tim gives <strong data-start=\"233\" data-end=\"252\">a second cookie<\/strong> to each child.<\/em><\/span><br data-start=\"267\" data-end=\"270\" \/><span style=\"color: #808080\"><em>Now there are <strong data-start=\"284\" data-end=\"306\">12 \u2212 6 = 6 cookies<\/strong> left.<\/em><\/span><\/p>\n<p data-start=\"314\" data-end=\"369\"><span style=\"color: #808080\"><em>These are enough to give <strong data-start=\"339\" data-end=\"368\">each child a third cookie<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"371\" data-end=\"411\"><span style=\"color: #808080\"><em>So <strong data-start=\"374\" data-end=\"404\">every child gets 3 cookies<\/strong> \ud83c\udf6a\ud83c\udf6a\ud83c\udf6a<\/em><\/span><\/p>\n<p data-start=\"97\" data-end=\"217\">\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='90' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>15 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>15. <\/p>\n<p style=\"text-align: left\">Paula\u2019s big sister Lucy baked gingerbread this year and built a gingerbread house out of it.<br \/>\n\u201cBut it still needs to be decorated,\u201d says Nele.<br \/>\nTim paints a picture. \u201cLook, Lucy, this is how it should look,\u201d he says.<br \/>\n\u201cAnd we\u2019ll see if Lucy decorated her gingerbread house exactly as Tim drew it,\u201d suggests Jan.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63872\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-15-608x325.png\" alt=\"\" width=\"608\" height=\"325\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-15.png 608w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-15-300x160.png 300w\" sizes=\"auto, (max-width: 608px) 100vw, 608px\" \/><\/p>\n<p style=\"text-align: left\">How many differences are there between the drawing and the gingerbread house decorated by Lucy?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-90]' id='ays-answer-430-10' value='430'\/>\n\n                <label for='ays-answer-430-10' class='  ays_position_initial  ays-quiz-keyboard-label'>4<\/label><label for='ays-answer-430-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-90]' id='ays-answer-431-10' value='431'\/>\n\n                <label for='ays-answer-431-10' class='  ays_position_initial  ays-quiz-keyboard-label'>6<\/label><label for='ays-answer-431-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-90]' id='ays-answer-432-10' value='432'\/>\n\n                <label for='ays-answer-432-10' class='  ays_position_initial  ays-quiz-keyboard-label'>7<\/label><label for='ays-answer-432-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-90]' id='ays-answer-433-10' value='433'\/>\n\n                <label for='ays-answer-433-10' class='  ays_position_initial  ays-quiz-keyboard-label'>9<\/label><label for='ays-answer-433-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-90]' id='ays-answer-434-10' value='434'\/>\n\n                <label for='ays-answer-434-10' class='  ays_position_initial  ays-quiz-keyboard-label'>11<\/label><label for='ays-answer-434-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['90'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"49\" data-end=\"306\"><span style=\"color: #808080\"><em>The <strong data-start=\"52\" data-end=\"69\">7 differences<\/strong> between the drawing and the finished gingerbread house are <strong data-start=\"129\" data-end=\"139\">marked<\/strong>.\u00a0<\/em><\/span><\/p>\n<p data-start=\"49\" data-end=\"306\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63873\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini15a-553x294.png\" alt=\"\" width=\"553\" height=\"294\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini15a.png 553w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini15a-300x159.png 300w\" sizes=\"auto, (max-width: 553px) 100vw, 553px\" \/><\/p>\n<p data-start=\"49\" data-end=\"306\">\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"49\" data-end=\"306\"><span style=\"color: #808080\"><em>The <strong data-start=\"52\" data-end=\"69\">7 differences<\/strong> between the drawing and the finished gingerbread house are <strong data-start=\"129\" data-end=\"139\">marked<\/strong>.\u00a0<\/em><\/span><\/p>\n<p data-start=\"49\" data-end=\"306\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63873\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini15a-553x294.png\" alt=\"\" width=\"553\" height=\"294\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini15a.png 553w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini15a-300x159.png 300w\" sizes=\"auto, (max-width: 553px) 100vw, 553px\" \/><\/p>\n<p data-start=\"97\" data-end=\"217\">\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='91' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>16 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>16. <\/p>\n<p style=\"text-align: left\">Tim, Nele, Paul, and Jan have arranged to visit Jan\u2019s grandparents. Each child has decorated a chocolate heart with icing and sprinkles. These are for the<br \/>\ngrandparents. The grandparents live on the edge of the city park. Part of the park has been turned into a hedge maze. Each child starts the maze at a different entrance.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63890\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-16-689x434.png\" alt=\"\" width=\"689\" height=\"434\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-16.png 689w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-16-300x189.png 300w\" sizes=\"auto, (max-width: 689px) 100vw, 689px\" \/><\/p>\n<p style=\"text-align: left\">Who can find their way out of the maze and onto the wide path leading to the grandparents\u2019 house?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-91]' id='ays-answer-435-10' value='435'\/>\n\n                <label for='ays-answer-435-10' class='  ays_position_initial  ays-quiz-keyboard-label'>only Paula<\/label><label for='ays-answer-435-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-91]' id='ays-answer-436-10' value='436'\/>\n\n                <label for='ays-answer-436-10' class='  ays_position_initial  ays-quiz-keyboard-label'>only Nele<\/label><label for='ays-answer-436-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-91]' id='ays-answer-437-10' value='437'\/>\n\n                <label for='ays-answer-437-10' class='  ays_position_initial  ays-quiz-keyboard-label'>Tim and Paula<\/label><label for='ays-answer-437-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-91]' id='ays-answer-438-10' value='438'\/>\n\n                <label for='ays-answer-438-10' class='  ays_position_initial  ays-quiz-keyboard-label'>only Jan<\/label><label for='ays-answer-438-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-91]' id='ays-answer-439-10' value='439'\/>\n\n                <label for='ays-answer-439-10' class='  ays_position_initial  ays-quiz-keyboard-label'>Jan and Nele<\/label><label for='ays-answer-439-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['91'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"49\" data-end=\"306\"><em><span style=\"color: #808080\">In the picture, you can see that <strong data-start=\"81\" data-end=\"98\">Tim and Paula<\/strong> can both find their way through the maze to the wide path.<\/span><\/em><br data-start=\"157\" data-end=\"160\" \/><em><span style=\"color: #808080\">For <strong data-start=\"166\" data-end=\"182\">Jan and Nele<\/strong>, it doesn\u2019t work\u2014there is <strong data-start=\"209\" data-end=\"220\">no path<\/strong> for them inside the maze.<\/span><\/em><br data-start=\"246\" data-end=\"249\" \/><em><span style=\"color: #808080\">They have to <strong data-start=\"264\" data-end=\"291\">walk around the outside<\/strong> to get to <strong data-start=\"302\" data-end=\"331\">Jan\u2019s grandparents\u2019 house<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"49\" data-end=\"306\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63891\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-16a-603x360.png\" alt=\"\" width=\"603\" height=\"360\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-16a.png 603w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-16a-300x179.png 300w\" sizes=\"auto, (max-width: 603px) 100vw, 603px\" \/><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"49\" data-end=\"306\"><em><span style=\"color: #808080\">In the picture, you can see that <strong data-start=\"81\" data-end=\"98\">Tim and Paula<\/strong> can both find their way through the maze to the wide path.<\/span><\/em><br data-start=\"157\" data-end=\"160\" \/><em><span style=\"color: #808080\">For <strong data-start=\"166\" data-end=\"182\">Jan and Nele<\/strong>, it doesn\u2019t work\u2014there is <strong data-start=\"209\" data-end=\"220\">no path<\/strong> for them inside the maze.<\/span><\/em><br data-start=\"246\" data-end=\"249\" \/><em><span style=\"color: #808080\">They have to <strong data-start=\"264\" data-end=\"291\">walk around the outside<\/strong> to get to <strong data-start=\"302\" data-end=\"331\">Jan\u2019s grandparents\u2019 house<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"49\" data-end=\"306\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63891\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-16a-603x360.png\" alt=\"\" width=\"603\" height=\"360\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-16a.png 603w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-16a-300x179.png 300w\" sizes=\"auto, (max-width: 603px) 100vw, 603px\" \/><\/p>\n<p data-start=\"97\" data-end=\"217\">\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='93' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>17 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>17. <\/p>\n<p style=\"text-align: left\">\u201cDo you know how to make black and white biscuits?\u201d asks Jan. Tim, Nele, and Paula shake their heads. Tim suggests asking his grandmother to show them<br \/>\nhow. His grandmother has prepared the dough. She kneads cocoa into half of the dough. Now she shapes lots of light and dark sticks.<br \/>\nFor the first layer, she places a light stick, then a dark stick, then another light stick, a dark stick, and another light stick close together.<br \/>\nShe places a second layer on top of this layer: she now places a light stick on top of each dark stick and a dark stick on top of each light stick.<br \/>\nThe third layer looks exactly like the first layer. Now the grandmother cuts off biscuits with a thin knife and places them on the baking tray.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63893\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-17-480x205.png\" alt=\"\" width=\"480\" height=\"205\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-17.png 480w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-17-300x128.png 300w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/p>\n<p style=\"text-align: left\">What do these biscuits look like?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-93]' id='ays-answer-445-10' value='445'\/>\n\n                <label for='ays-answer-445-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>A<\/label><label for='ays-answer-445-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/31-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-93]' id='ays-answer-446-10' value='446'\/>\n\n                <label for='ays-answer-446-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>B<\/label><label for='ays-answer-446-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/32-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-93]' id='ays-answer-447-10' value='447'\/>\n\n                <label for='ays-answer-447-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>C<\/label><label for='ays-answer-447-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/33-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-93]' id='ays-answer-448-10' value='448'\/>\n\n                <label for='ays-answer-448-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>D<\/label><label for='ays-answer-448-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/34-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-93]' id='ays-answer-449-10' value='449'\/>\n\n                <label for='ays-answer-449-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>E<\/label><label for='ays-answer-449-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/35-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['93'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"48\" data-end=\"288\"><span style=\"color: #808080\"><em>Grandma makes <strong data-start=\"62\" data-end=\"79\">only 3 layers<\/strong> in total.<\/em><\/span><br data-start=\"89\" data-end=\"92\" \/><span style=\"color: #808080\"><em>So we already know that, out of the <strong data-start=\"130\" data-end=\"155\">five possible answers<\/strong>, <strong data-start=\"157\" data-end=\"172\">only C or E<\/strong> can be correct.<\/em><\/span><br data-start=\"188\" data-end=\"191\" \/><span style=\"color: #808080\"><em>The ideas in <strong data-start=\"206\" data-end=\"211\">A<\/strong> and <strong data-start=\"216\" data-end=\"221\">B<\/strong> would need <strong data-start=\"233\" data-end=\"245\">4 layers<\/strong>, and <strong data-start=\"251\" data-end=\"256\">D<\/strong> would even need <strong data-start=\"273\" data-end=\"285\">5 layers<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"295\" data-end=\"537\"><span style=\"color: #808080\"><em>Now let\u2019s look more closely at what Grandma does:<\/em><\/span><br data-start=\"344\" data-end=\"347\" \/><span style=\"color: #808080\"><em>In the <strong data-start=\"356\" data-end=\"371\">first layer<\/strong>, she puts a <strong data-start=\"384\" data-end=\"405\">light dough stick<\/strong>, then a <strong data-start=\"414\" data-end=\"426\">dark one<\/strong>, then <strong data-start=\"433\" data-end=\"442\">light<\/strong>, <strong data-start=\"444\" data-end=\"452\">dark<\/strong>, and <strong data-start=\"458\" data-end=\"467\">light<\/strong> again.<\/em><\/span><br data-start=\"474\" data-end=\"477\" \/><span style=\"color: #808080\"><em>That makes <strong data-start=\"490\" data-end=\"501\">3 light<\/strong> dough sticks and <strong data-start=\"519\" data-end=\"529\">2 dark<\/strong> ones.<\/em><\/span><\/p>\n<p data-start=\"544\" data-end=\"613\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>For the <strong data-start=\"552\" data-end=\"568\">bottom layer<\/strong>, this pattern works <strong data-start=\"589\" data-end=\"610\">only for answer C<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"48\" data-end=\"288\"><span style=\"color: #808080\"><em>Grandma makes <strong data-start=\"62\" data-end=\"79\">only 3 layers<\/strong> in total.<\/em><\/span><br data-start=\"89\" data-end=\"92\" \/><span style=\"color: #808080\"><em>So we already know that, out of the <strong data-start=\"130\" data-end=\"155\">five possible answers<\/strong>, <strong data-start=\"157\" data-end=\"172\">only C or E<\/strong> can be correct.<\/em><\/span><br data-start=\"188\" data-end=\"191\" \/><span style=\"color: #808080\"><em>The ideas in <strong data-start=\"206\" data-end=\"211\">A<\/strong> and <strong data-start=\"216\" data-end=\"221\">B<\/strong> would need <strong data-start=\"233\" data-end=\"245\">4 layers<\/strong>, and <strong data-start=\"251\" data-end=\"256\">D<\/strong> would even need <strong data-start=\"273\" data-end=\"285\">5 layers<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"295\" data-end=\"537\"><span style=\"color: #808080\"><em>Now let\u2019s look more closely at what Grandma does:<\/em><\/span><br data-start=\"344\" data-end=\"347\" \/><span style=\"color: #808080\"><em>In the <strong data-start=\"356\" data-end=\"371\">first layer<\/strong>, she puts a <strong data-start=\"384\" data-end=\"405\">light dough stick<\/strong>, then a <strong data-start=\"414\" data-end=\"426\">dark one<\/strong>, then <strong data-start=\"433\" data-end=\"442\">light<\/strong>, <strong data-start=\"444\" data-end=\"452\">dark<\/strong>, and <strong data-start=\"458\" data-end=\"467\">light<\/strong> again.<\/em><\/span><br data-start=\"474\" data-end=\"477\" \/><span style=\"color: #808080\"><em>That makes <strong data-start=\"490\" data-end=\"501\">3 light<\/strong> dough sticks and <strong data-start=\"519\" data-end=\"529\">2 dark<\/strong> ones.<\/em><\/span><\/p>\n<p data-start=\"544\" data-end=\"613\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>For the <strong data-start=\"552\" data-end=\"568\">bottom layer<\/strong>, this pattern works <strong data-start=\"589\" data-end=\"610\">only for answer C<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='96' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>18 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>18. <\/p>\n<p style=\"text-align: left\">Nele\u2019s aunt Lydia bakes the most delicious vanilla crescent cookies. Every year she bakes lots of them. She then sends packets of vanilla crescent cookies to her friends as Christmas greetings. Nele, Tim, Jan, and Paula help her. They prepared the dough early in the morning. At 8:15 a.m., the first tray is put in the oven. And then one tray follows another. It is already 11:35 a.m. when the last tray is taken out of the oven.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63913\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-18-481x351.png\" alt=\"\" width=\"481\" height=\"351\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-18.png 481w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-18-300x219.png 300w\" sizes=\"auto, (max-width: 481px) 100vw, 481px\" \/><\/p>\n<p style=\"text-align: left\">\u201cIt\u2019s almost lunchtime,\u201d says Paula.<br \/>\nHow long did the baking take?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-96]' id='ays-answer-460-10' value='460'\/>\n\n                <label for='ays-answer-460-10' class='  ays_position_initial  ays-quiz-keyboard-label'>more than 1 hour, but less than 2 hours<\/label><label for='ays-answer-460-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-96]' id='ays-answer-461-10' value='461'\/>\n\n                <label for='ays-answer-461-10' class='  ays_position_initial  ays-quiz-keyboard-label'>more than 2 hours, but less than 3 hours<\/label><label for='ays-answer-461-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-96]' id='ays-answer-462-10' value='462'\/>\n\n                <label for='ays-answer-462-10' class='  ays_position_initial  ays-quiz-keyboard-label'>more than 3 hours, but less than 4 hours<\/label><label for='ays-answer-462-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-96]' id='ays-answer-463-10' value='463'\/>\n\n                <label for='ays-answer-463-10' class='  ays_position_initial  ays-quiz-keyboard-label'>more than 4 hours, but less than 5 hours<\/label><label for='ays-answer-463-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-96]' id='ays-answer-464-10' value='464'\/>\n\n                <label for='ays-answer-464-10' class='  ays_position_initial  ays-quiz-keyboard-label'>more than 5 hours, but less than 6 hours<\/label><label for='ays-answer-464-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['96'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"48\" data-end=\"187\"><span style=\"color: #808080\"><em>This problem is about <strong data-start=\"70\" data-end=\"93\">making good guesses<\/strong> and <strong data-start=\"98\" data-end=\"131\">knowing how to read the clock<\/strong>.<\/em><\/span><br data-start=\"132\" data-end=\"135\" \/><span style=\"color: #808080\"><em>If someone isn\u2019t sure yet, a parent can help. \ud83d\ude0a<\/em><\/span><\/p>\n<p data-start=\"194\" data-end=\"319\"><span style=\"color: #808080\"><em>The children start baking at <strong data-start=\"223\" data-end=\"246\">8:15 in the morning<\/strong>.<\/em><\/span><br data-start=\"247\" data-end=\"250\" \/><span style=\"color: #808080\"><em>They finish baking at <strong data-start=\"274\" data-end=\"283\">11:35<\/strong>, which is <strong data-start=\"294\" data-end=\"316\">35 minutes past 11<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"326\" data-end=\"466\"><span style=\"color: #808080\"><em>At <strong data-start=\"329\" data-end=\"338\">11:15<\/strong>, exactly <strong data-start=\"348\" data-end=\"359\">3 hours<\/strong> have passed since they started.<\/em><\/span><br data-start=\"391\" data-end=\"394\" \/><span style=\"color: #808080\"><em>But baking continues for <strong data-start=\"421\" data-end=\"440\">20 more minutes<\/strong> (because 35 \u2212 15 = 20).<\/em><\/span><\/p>\n<p data-start=\"473\" data-end=\"554\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>So the total baking time is <strong data-start=\"501\" data-end=\"522\">more than 3 hours<\/strong>, but <strong data-start=\"528\" data-end=\"549\">less than 4 hours<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"48\" data-end=\"187\"><span style=\"color: #808080\"><em>This problem is about <strong data-start=\"70\" data-end=\"93\">making good guesses<\/strong> and <strong data-start=\"98\" data-end=\"131\">knowing how to read the clock<\/strong>.<\/em><\/span><br data-start=\"132\" data-end=\"135\" \/><span style=\"color: #808080\"><em>If someone isn\u2019t sure yet, a parent can help. \ud83d\ude0a<\/em><\/span><\/p>\n<p data-start=\"194\" data-end=\"319\"><span style=\"color: #808080\"><em>The children start baking at <strong data-start=\"223\" data-end=\"246\">8:15 in the morning<\/strong>.<\/em><\/span><br data-start=\"247\" data-end=\"250\" \/><span style=\"color: #808080\"><em>They finish baking at <strong data-start=\"274\" data-end=\"283\">11:35<\/strong>, which is <strong data-start=\"294\" data-end=\"316\">35 minutes past 11<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"326\" data-end=\"466\"><span style=\"color: #808080\"><em>At <strong data-start=\"329\" data-end=\"338\">11:15<\/strong>, exactly <strong data-start=\"348\" data-end=\"359\">3 hours<\/strong> have passed since they started.<\/em><\/span><br data-start=\"391\" data-end=\"394\" \/><span style=\"color: #808080\"><em>But baking continues for <strong data-start=\"421\" data-end=\"440\">20 more minutes<\/strong> (because 35 \u2212 15 = 20).<\/em><\/span><\/p>\n<p data-start=\"473\" data-end=\"554\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>So the total baking time is <strong data-start=\"501\" data-end=\"522\">more than 3 hours<\/strong>, but <strong data-start=\"528\" data-end=\"549\">less than 4 hours<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='101' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>19 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>19. <\/p>\n<p style=\"text-align: left\">Who knows what Spitzbuben are?<br \/>\nPaula explains, \u201cFirst, roll out the dough, then cut out circles and rings. Spread jam on each circular part and place a ring part on top.\u201d<br \/>\n\u201cThen the jam looks like an eye,\u201d say Tim, Jan, and Nele, amused.<br \/>\nThey lay the cookies out in a long row.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63930\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-19-623x121.png\" alt=\"\" width=\"623\" height=\"121\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-19.png 623w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-19-300x58.png 300w\" sizes=\"auto, (max-width: 623px) 100vw, 623px\" \/><\/p>\n<p style=\"text-align: left\">They use gooseberry jam for the 1st cookie, strawberry jam for the 2nd cookie, raspberry jam for the 3rd cookie, plum jam for the 4th cookie and currant jam for the 5th cookie. After that, they continue with gooseberry jam again, then strawberry jam, raspberry jam and so on.<br \/>\nWhich jam is on the 13th cookie?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-101]' id='ays-answer-485-10' value='485'\/>\n\n                <label for='ays-answer-485-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>A<\/label><label for='ays-answer-485-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/15-2-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-101]' id='ays-answer-486-10' value='486'\/>\n\n                <label for='ays-answer-486-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>B<\/label><label for='ays-answer-486-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/16-2-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-101]' id='ays-answer-487-10' value='487'\/>\n\n                <label for='ays-answer-487-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>C<\/label><label for='ays-answer-487-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/17-2-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-101]' id='ays-answer-488-10' value='488'\/>\n\n                <label for='ays-answer-488-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>D<\/label><label for='ays-answer-488-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/18-2-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-101]' id='ays-answer-489-10' value='489'\/>\n\n                <label for='ays-answer-489-10' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>E<\/label><label for='ays-answer-489-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/19-2-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['101'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"48\" data-end=\"159\"><span style=\"color: #808080\"><em>We color in the <strong data-start=\"64\" data-end=\"84\">first 13 cookies<\/strong>.<\/em><\/span><br data-start=\"85\" data-end=\"88\" \/><span style=\"color: #808080\"><em>Each time we start again from the beginning, we make a <strong data-start=\"145\" data-end=\"156\">new row<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"48\" data-end=\"159\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63931\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-19-b-345x210.png\" alt=\"\" width=\"345\" height=\"210\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-19-b.png 345w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-19-b-300x183.png 300w\" sizes=\"auto, (max-width: 345px) 100vw, 345px\" \/><\/p>\n<p data-start=\"166\" data-end=\"222\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>On the <strong data-start=\"173\" data-end=\"188\">13th cookie<\/strong>, there is <strong data-start=\"199\" data-end=\"216\">raspberry jam<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"48\" data-end=\"159\"><span style=\"color: #808080\"><em>We color in the <strong data-start=\"64\" data-end=\"84\">first 13 cookies<\/strong>.<\/em><\/span><br data-start=\"85\" data-end=\"88\" \/><span style=\"color: #808080\"><em>Each time we start again from the beginning, we make a <strong data-start=\"145\" data-end=\"156\">new row<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"48\" data-end=\"159\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63931\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-19-b-345x210.png\" alt=\"\" width=\"345\" height=\"210\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-19-b.png 345w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-19-b-300x183.png 300w\" sizes=\"auto, (max-width: 345px) 100vw, 345px\" \/><\/p>\n<p data-start=\"166\" data-end=\"222\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>On the <strong data-start=\"173\" data-end=\"188\">13th cookie<\/strong>, there is <strong data-start=\"199\" data-end=\"216\">raspberry jam<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='102' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>20 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>20. <\/p>\n<p style=\"text-align: left\">Today, hazelnuts are being cracked. Tim\u2019s aunt wants to bake hazelnut stars.<br \/>\nThe nuts are for the hazelnut cream on top of the hazelnut stars.<br \/>\nTim cracks 4 nuts.<br \/>\nPaula and Jan each crack 3 nuts.<br \/>\nNele cracks as many nuts as Paula and Jan cracked together.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63941\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-20-292x279.png\" alt=\"\" width=\"292\" height=\"279\" \/><\/p>\n<p style=\"text-align: left\">How many nuts do the 4 friends crack in total?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-102]' id='ays-answer-490-10' value='490'\/>\n\n                <label for='ays-answer-490-10' class='  ays_position_initial  ays-quiz-keyboard-label'>11<\/label><label for='ays-answer-490-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-102]' id='ays-answer-491-10' value='491'\/>\n\n                <label for='ays-answer-491-10' class='  ays_position_initial  ays-quiz-keyboard-label'>12<\/label><label for='ays-answer-491-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-102]' id='ays-answer-492-10' value='492'\/>\n\n                <label for='ays-answer-492-10' class='  ays_position_initial  ays-quiz-keyboard-label'>15<\/label><label for='ays-answer-492-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-102]' id='ays-answer-493-10' value='493'\/>\n\n                <label for='ays-answer-493-10' class='  ays_position_initial  ays-quiz-keyboard-label'>16<\/label><label for='ays-answer-493-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-102]' id='ays-answer-494-10' value='494'\/>\n\n                <label for='ays-answer-494-10' class='  ays_position_initial  ays-quiz-keyboard-label'>18<\/label><label for='ays-answer-494-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['102'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"35\" data-end=\"123\"><span style=\"color: #808080\"><em>If you are already good at adding, you can take the numbers from the story and add them:<\/em><\/span><\/p>\n<p data-start=\"127\" data-end=\"156\"><span style=\"color: #808080\"><em>4 + 3 + 3 + (3 + 3) = <strong data-start=\"149\" data-end=\"155\">16<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"158\" data-end=\"271\"><span style=\"color: #808080\"><em>If adding is still a bit tricky, you can try something fun at home \ud83d\ude0a<\/em><\/span><br data-start=\"227\" data-end=\"230\" \/><span style=\"color: #808080\"><em>Find some nuts and count them one by one.<\/em><\/span><\/p>\n<p data-start=\"273\" data-end=\"484\"><span style=\"color: #808080\"><em>First, count the <strong data-start=\"290\" data-end=\"309\">4 nuts from Tim<\/strong>.<\/em><\/span><br data-start=\"310\" data-end=\"313\" \/><span style=\"color: #808080\"><em>Then add <strong data-start=\"322\" data-end=\"343\">3 nuts from Paula<\/strong> and <strong data-start=\"348\" data-end=\"367\">3 nuts from Jan<\/strong>.<\/em><\/span><br data-start=\"368\" data-end=\"371\" data-is-only-node=\"\" \/><span style=\"color: #808080\"><em>At the end come <strong data-start=\"387\" data-end=\"402\">Nele\u2019s nuts<\/strong>. She cracks <strong data-start=\"415\" data-end=\"457\">as many nuts as Paula and Jan together<\/strong>, so that is <strong data-start=\"470\" data-end=\"483\">3 + 3 = 6<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"486\" data-end=\"569\" data-is-last-node=\"\" data-is-only-node=\"\"><span style=\"color: #808080\"><em>Now count all the nuts together.<\/em><\/span><br data-start=\"518\" data-end=\"521\" \/><span style=\"color: #808080\"><em>You will see there are <strong data-start=\"544\" data-end=\"564\">16 nuts in total<\/strong><\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"35\" data-end=\"123\"><span style=\"color: #808080\"><em>If you are already good at adding, you can take the numbers from the story and add them:<\/em><\/span><\/p>\n<p data-start=\"127\" data-end=\"156\"><span style=\"color: #808080\"><em>4 + 3 + 3 + (3 + 3) = <strong data-start=\"149\" data-end=\"155\">16<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"158\" data-end=\"271\"><span style=\"color: #808080\"><em>If adding is still a bit tricky, you can try something fun at home \ud83d\ude0a<\/em><\/span><br data-start=\"227\" data-end=\"230\" \/><span style=\"color: #808080\"><em>Find some nuts and count them one by one.<\/em><\/span><\/p>\n<p data-start=\"273\" data-end=\"484\"><span style=\"color: #808080\"><em>First, count the <strong data-start=\"290\" data-end=\"309\">4 nuts from Tim<\/strong>.<\/em><\/span><br data-start=\"310\" data-end=\"313\" \/><span style=\"color: #808080\"><em>Then add <strong data-start=\"322\" data-end=\"343\">3 nuts from Paula<\/strong> and <strong data-start=\"348\" data-end=\"367\">3 nuts from Jan<\/strong>.<\/em><\/span><br data-start=\"368\" data-end=\"371\" data-is-only-node=\"\" \/><span style=\"color: #808080\"><em>At the end come <strong data-start=\"387\" data-end=\"402\">Nele\u2019s nuts<\/strong>. She cracks <strong data-start=\"415\" data-end=\"457\">as many nuts as Paula and Jan together<\/strong>, so that is <strong data-start=\"470\" data-end=\"483\">3 + 3 = 6<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"486\" data-end=\"569\" data-is-last-node=\"\" data-is-only-node=\"\"><span style=\"color: #808080\"><em>Now count all the nuts together.<\/em><\/span><br data-start=\"518\" data-end=\"521\" \/><span style=\"color: #808080\"><em>You will see there are <strong data-start=\"544\" data-end=\"564\">16 nuts in total<\/strong><\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='103' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>21 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>21. <\/p>\n<p style=\"text-align: left\">Jan has decorated gingerbread cookies and is showing them to his friends.<br \/>\n\u201cI like the ones with icing best,\u201d says Tim. Paula and Nele agree.<br \/>\n\u201cI like the white gingerbread cookie with 4 almonds in the corners and 3 hazelnuts in the middle best,\u201d says Nele.<br \/>\nWhich gingerbread cookie does Nele like best?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63942 alignleft\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-21-639x399.png\" alt=\"\" width=\"639\" height=\"399\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-21.png 639w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-21-300x187.png 300w\" sizes=\"auto, (max-width: 639px) 100vw, 639px\" \/><\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-103]' id='ays-answer-495-10' value='495'\/>\n\n                <label for='ays-answer-495-10' class='  ays_position_initial  ays-quiz-keyboard-label'>\u2665<\/label><label for='ays-answer-495-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-103]' id='ays-answer-496-10' value='496'\/>\n\n                <label for='ays-answer-496-10' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udd6f<\/label><label for='ays-answer-496-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-103]' id='ays-answer-497-10' value='497'\/>\n\n                <label for='ays-answer-497-10' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udece<\/label><label for='ays-answer-497-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-103]' id='ays-answer-498-10' value='498'\/>\n\n                <label for='ays-answer-498-10' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf1f<\/label><label for='ays-answer-498-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-103]' id='ays-answer-499-10' value='499'\/>\n\n                <label for='ays-answer-499-10' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf84<\/label><label for='ays-answer-499-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['103'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p data-start=\"35\" data-end=\"198\">\n<p data-start=\"35\" data-end=\"198\"><span style=\"color: #808080\"><em>First, we notice that the gingerbread at <strong data-start=\"76\" data-end=\"87\">\u201cheart\u201d<\/strong> and the one at <strong data-start=\"103\" data-end=\"113\">\u201cbell\u201d<\/strong> cannot be the right answer, because <strong data-start=\"150\" data-end=\"197\">neither of them is covered with white icing<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"200\" data-end=\"282\"><span style=\"color: #808080\"><em>The gingerbread at <strong data-start=\"219\" data-end=\"229\">\u201cstar\u201d<\/strong> is the correct one \u2014 <strong data-start=\"251\" data-end=\"279\">everything matches there<\/strong> \u2b50.<\/em><\/span><\/p>\n<p data-start=\"284\" data-end=\"427\"><span style=\"color: #808080\"><em>The gingerbread at <strong data-start=\"303\" data-end=\"315\">\u201ccandle\u201d<\/strong> has <strong data-start=\"320\" data-end=\"353\">only 2 hazelnuts instead of 3<\/strong>,<\/em><\/span><br data-start=\"354\" data-end=\"357\" \/><span style=\"color: #808080\"><em>and the gingerbread at <strong data-start=\"380\" data-end=\"390\" data-is-only-node=\"\">\u201ctree\u201d<\/strong> has <strong data-start=\"395\" data-end=\"426\">only 2 almonds instead of 4<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"429\" data-end=\"489\" data-is-last-node=\"\" data-is-only-node=\"\"><span style=\"color: #808080\"><em>So, <strong data-start=\"433\" data-end=\"482\">the gingerbread at \u201cstar\u201d is the right choice.<\/strong><\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"35\" data-end=\"198\"><span style=\"color: #808080\"><em>First, we notice that the gingerbread at <strong data-start=\"76\" data-end=\"87\">\u201cheart\u201d<\/strong> and the one at <strong data-start=\"103\" data-end=\"113\">\u201cbell\u201d<\/strong> cannot be the right answer, because <strong data-start=\"150\" data-end=\"197\">neither of them is covered with white icing<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"200\" data-end=\"282\"><span style=\"color: #808080\"><em>The gingerbread at <strong data-start=\"219\" data-end=\"229\">\u201cstar\u201d<\/strong> is the correct one \u2014 <strong data-start=\"251\" data-end=\"279\">everything matches there<\/strong> \u2b50.<\/em><\/span><\/p>\n<p data-start=\"284\" data-end=\"427\"><span style=\"color: #808080\"><em>The gingerbread at <strong data-start=\"303\" data-end=\"315\">\u201ccandle\u201d<\/strong> has <strong data-start=\"320\" data-end=\"353\">only 2 hazelnuts instead of 3<\/strong>,<\/em><\/span><br data-start=\"354\" data-end=\"357\" \/><span style=\"color: #808080\"><em>and the gingerbread at <strong data-start=\"380\" data-end=\"390\" data-is-only-node=\"\">\u201ctree\u201d<\/strong> has <strong data-start=\"395\" data-end=\"426\">only 2 almonds instead of 4<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"429\" data-end=\"489\" data-is-last-node=\"\" data-is-only-node=\"\"><span style=\"color: #808080\"><em>So, <strong data-start=\"433\" data-end=\"482\">the gingerbread at \u201cstar\u201d is the right choice.<\/strong><\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='104' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>22 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>22. <\/p>\n<p style=\"text-align: left\">Nele, Tim, Paula, and Jan are meeting up today to go ice skating. Jan has brought a large bag of Alphabet cookies for a little break. First, they eat all the letter cookies. After that, only the number cookies are left. But not all of the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 can be found.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63943\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-22-291x233.png\" alt=\"\" width=\"291\" height=\"233\" \/><br \/>\nWhich numbers are missing?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-104]' id='ays-answer-500-10' value='500'\/>\n\n                <label for='ays-answer-500-10' class='  ays_position_initial  ays-quiz-keyboard-label'>3 and 5<\/label><label for='ays-answer-500-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-104]' id='ays-answer-501-10' value='501'\/>\n\n                <label for='ays-answer-501-10' class='  ays_position_initial  ays-quiz-keyboard-label'>4 and 8<\/label><label for='ays-answer-501-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-104]' id='ays-answer-502-10' value='502'\/>\n\n                <label for='ays-answer-502-10' class='  ays_position_initial  ays-quiz-keyboard-label'>2 and 0<\/label><label for='ays-answer-502-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-104]' id='ays-answer-503-10' value='503'\/>\n\n                <label for='ays-answer-503-10' class='  ays_position_initial  ays-quiz-keyboard-label'>6 and 9<\/label><label for='ays-answer-503-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-104]' id='ays-answer-504-10' value='504'\/>\n\n                <label for='ays-answer-504-10' class='  ays_position_initial  ays-quiz-keyboard-label'>7 and 1<\/label><label for='ays-answer-504-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['104'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"48\" data-end=\"191\"><span style=\"color: #808080\"><em>You can\u2019t find a <strong data-start=\"52\" data-end=\"57\">6<\/strong> or a <strong data-start=\"63\" data-end=\"68\">9<\/strong> anywhere.<\/em><\/span><br data-start=\"78\" data-end=\"81\" \/><span style=\"color: #808080\"><em><strong data-start=\"81\" data-end=\"117\">All the other numbers are there.<\/strong><\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"48\" data-end=\"191\"><span style=\"color: #808080\"><em>You can\u2019t find a <strong data-start=\"52\" data-end=\"57\">6<\/strong> or a <strong data-start=\"63\" data-end=\"68\">9<\/strong> anywhere.<\/em><\/span><br data-start=\"78\" data-end=\"81\" \/><span style=\"color: #808080\"><em><strong data-start=\"81\" data-end=\"117\">All the other numbers are there.<\/strong> <\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='105' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>23 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>23. <\/p>\n<p style=\"text-align: left\">\u201cThe apricot hearts will taste great,\u201d says Paula.<br \/>\n\u201cDon\u2019t eat them yet!\u201d calls Tim, \u201cThey\u2019re not ready yet.\u201d<br \/>\nTim puts chocolate coating on the hearts, and Nele and Jan decorate each heart with 3 hazelnuts.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63944\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-23-301x226.png\" alt=\"\" width=\"301\" height=\"226\" \/><\/p>\n<p style=\"text-align: left\">They still have 10 hazelnuts and lots of chocolate coating.<br \/>\nHow many more apricot hearts can they decorate completely?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-105]' id='ays-answer-505-10' value='505'\/>\n\n                <label for='ays-answer-505-10' class='  ays_position_initial  ays-quiz-keyboard-label'>8<\/label><label for='ays-answer-505-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-105]' id='ays-answer-506-10' value='506'\/>\n\n                <label for='ays-answer-506-10' class='  ays_position_initial  ays-quiz-keyboard-label'>7<\/label><label for='ays-answer-506-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-105]' id='ays-answer-507-10' value='507'\/>\n\n                <label for='ays-answer-507-10' class='  ays_position_initial  ays-quiz-keyboard-label'>5<\/label><label for='ays-answer-507-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-105]' id='ays-answer-508-10' value='508'\/>\n\n                <label for='ays-answer-508-10' class='  ays_position_initial  ays-quiz-keyboard-label'>3<\/label><label for='ays-answer-508-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-105]' id='ays-answer-509-10' value='509'\/>\n\n                <label for='ays-answer-509-10' class='  ays_position_initial  ays-quiz-keyboard-label'>2<\/label><label for='ays-answer-509-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['105'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"35\" data-end=\"97\"><span style=\"color: #808080\"><em>Nele and Jan decorate each apricot heart with <strong data-start=\"81\" data-end=\"96\">3 hazelnuts<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"99\" data-end=\"316\"><span style=\"color: #808080\"><em>After the first apricot heart, there are <strong data-start=\"140\" data-end=\"154\">10 \u2212 3 = 7<\/strong> hazelnuts left.<\/em><\/span><br data-start=\"170\" data-end=\"173\" \/><span style=\"color: #808080\"><em>After the second apricot heart, there are <strong data-start=\"215\" data-end=\"228\">7 \u2212 3 = 4<\/strong> hazelnuts left.<\/em><\/span><br data-start=\"244\" data-end=\"247\" data-is-only-node=\"\" \/><span style=\"color: #808080\"><em>After the third apricot heart, there are <strong data-start=\"288\" data-end=\"301\">4 \u2212 3 = 1<\/strong> hazelnut left.<\/em><\/span><\/p>\n<p data-start=\"318\" data-end=\"397\"><span style=\"color: #808080\"><em>With this last hazelnut, they cannot decorate another apricot heart completely.<\/em><\/span><\/p>\n<p data-start=\"399\" data-end=\"506\" data-is-last-node=\"\" data-is-only-node=\"\"><span style=\"color: #808080\"><em>Since there is enough chocolate glaze, <strong data-start=\"438\" data-end=\"500\">10 hazelnuts are enough to fully decorate 3 apricot hearts<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"35\" data-end=\"97\"><span style=\"color: #808080\"><em>Nele and Jan decorate each apricot heart with <strong data-start=\"81\" data-end=\"96\">3 hazelnuts<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"99\" data-end=\"316\"><span style=\"color: #808080\"><em>After the first apricot heart, there are <strong data-start=\"140\" data-end=\"154\">10 \u2212 3 = 7<\/strong> hazelnuts left.<\/em><\/span><br data-start=\"170\" data-end=\"173\" \/><span style=\"color: #808080\"><em>After the second apricot heart, there are <strong data-start=\"215\" data-end=\"228\">7 \u2212 3 = 4<\/strong> hazelnuts left.<\/em><\/span><br data-start=\"244\" data-end=\"247\" data-is-only-node=\"\" \/><span style=\"color: #808080\"><em>After the third apricot heart, there are <strong data-start=\"288\" data-end=\"301\">4 \u2212 3 = 1<\/strong> hazelnut left.<\/em><\/span><\/p>\n<p data-start=\"318\" data-end=\"397\"><span style=\"color: #808080\"><em>With this last hazelnut, they cannot decorate another apricot heart completely.<\/em><\/span><\/p>\n<p data-start=\"399\" data-end=\"506\" data-is-last-node=\"\" data-is-only-node=\"\"><span style=\"color: #808080\"><em>Since there is enough chocolate glaze, <strong data-start=\"438\" data-end=\"500\">10 hazelnuts are enough to fully decorate 3 apricot hearts<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='106' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>24 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>24. Now it\u2019s finally Christmas Eve. A few days ago, Tim, Paula, Nele, and Jan started their holidays. Every day since the 1st of December, the 4 friends have had a little task to master. They worked together to solve the puzzles and then entered their answers in the answer grid.<br \/>\nThey notice a special pattern.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63946\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-24-702x410.png\" alt=\"\" width=\"702\" height=\"410\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-24.png 702w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-24-300x175.png 300w\" sizes=\"auto, (max-width: 702px) 100vw, 702px\" \/><\/p>\n<p><a href=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/kaenguruadvent_2025_mini_all_english_24.pdf\" target=\"_blank\" rel=\"noopener\">24 Questions - 2025 Math Kangaroo Advent Calendar MINI<\/a><\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-106]' id='ays-answer-510-10' value='510'\/>\n\n                <label for='ays-answer-510-10' class='  ays_position_initial  ays-quiz-keyboard-label'>\u2764\ufe0f \ud83d\udd6f\ufe0f \u2b50 \ud83d\udd14 \ud83c\udf32 \u2764\ufe0f \ud83d\udd6f\ufe0f \u2b50 \ud83d\udd14 \ud83c\udf32 \u2b50 \u2764\ufe0f \u2b50 \ud83c\udf32 \ud83d\udd14 \ud83d\udd6f\ufe0f \u2764\ufe0f \ud83c\udf32 \ud83d\udd14 \u2b50 \ud83d\udd6f\ufe0f \ud83c\udf32<\/label><label for='ays-answer-510-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-106]' id='ays-answer-521-10' value='521'\/>\n\n                <label for='ays-answer-521-10' class='  ays_position_initial  ays-quiz-keyboard-label'>\u2764\ufe0f \ud83d\udd6f\ufe0f \u2b50 \ud83d\udd14 \ud83c\udf32 \u2764\ufe0f \ud83d\udd6f\ufe0f \u2b50 \ud83d\udd14 \ud83c\udf32 \u2b50 \u2764\ufe0f \u2b50 \ud83c\udf32 \ud83d\udd14 \ud83d\udd6f\ufe0f \u2764\ufe0f \ud83c\udf32 \ud83d\udd14 \u2b50 \ud83d\udd6f\ufe0f \u2764\ufe0f<\/label><label for='ays-answer-521-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-106]' id='ays-answer-522-10' value='522'\/>\n\n                <label for='ays-answer-522-10' class='  ays_position_initial  ays-quiz-keyboard-label'>\u2764\ufe0f \ud83d\udd6f\ufe0f \u2b50 \ud83d\udd14 \ud83c\udf32 \u2764\ufe0f \ud83d\udd6f\ufe0f \u2b50 \ud83d\udd14 \u2b50 \u2b50 \u2764\ufe0f \u2b50 \ud83c\udf32 \ud83d\udd14 \ud83d\udd6f\ufe0f \u2764\ufe0f \ud83c\udf32 \ud83d\udd14 \u2b50 \ud83d\udd6f\ufe0f \u2764\ufe0f<\/label><label for='ays-answer-522-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-106]' id='ays-answer-523-10' value='523'\/>\n\n                <label for='ays-answer-523-10' class='  ays_position_initial  ays-quiz-keyboard-label'>\u2764\ufe0f \ud83d\udd6f\ufe0f \u2b50 \ud83d\udd14 \ud83c\udf32 \u2764\ufe0f \ud83d\udd6f\ufe0f \u2b50 \ud83d\udd14 \ud83c\udf32 \u2b50 \u2764\ufe0f \u2b50 \ud83c\udf32  \ud83c\udf32\ud83d\udd6f\ufe0f \u2764\ufe0f \ud83c\udf32 \ud83d\udd14 \u2b50 \ud83d\udd6f\ufe0f \u2764\ufe0f<\/label><label for='ays-answer-523-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-106]' id='ays-answer-524-10' value='524'\/>\n\n                <label for='ays-answer-524-10' class='  ays_position_initial  ays-quiz-keyboard-label'>\u2764\ufe0f \ud83d\udd6f\ufe0f \u2b50 \ud83d\udd14 \ud83c\udf32 \u2764\ufe0f \ud83d\udd6f\ufe0f \u2b50 \ud83d\udd14 \ud83d\udd6f\ufe0f \u2b50 \u2764\ufe0f \u2b50 \ud83c\udf32 \ud83d\udd14 \ud83d\udd6f\ufe0f \u2764\ufe0f \ud83c\udf32 \ud83d\udd14 \u2b50 \ud83d\udd6f\ufe0f \u2764\ufe0f<\/label><label for='ays-answer-524-10' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_10 === 'undefined'){\n                window.quizOptions_10 = [];\n            }\n            window.quizOptions_10['106'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                            \n                            <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                            <input type='button' class='ays_previous action-button ays-quiz-keyboard-active '  value='Prev' \/>\n                            <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_finish action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='submit' name='ays_finish_quiz' class='  ays_next ays_finish action-button ays-quiz-keyboard-active' value='See Result'\/>\n                        <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"35\" data-end=\"97\"><span style=\"color: #808080\"><em>If you solved everything correctly, this is the picture you will have at the end:<\/em><\/span><\/p>\n<p data-start=\"35\" data-end=\"97\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63945\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-24a-672x57.png\" alt=\"\" width=\"672\" height=\"57\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-24a.png 672w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-24a-300x25.png 300w\" sizes=\"auto, (max-width: 672px) 100vw, 672px\" \/><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"35\" data-end=\"97\"><span style=\"color: #808080\"><em>If you solved everything correctly, this is the picture you will have at the end:<\/em><\/span><\/p>\n<p data-start=\"35\" data-end=\"97\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63945\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-24a-672x57.png\" alt=\"\" width=\"672\" height=\"57\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-24a.png 672w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-mini-24a-300x25.png 300w\" sizes=\"auto, (max-width: 672px) 100vw, 672px\" \/><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ays_thank_you_fs'>\n            <div class='ays-abs-fs ays-end-page'><div data-class='lds-hourglass' data-role='loader' class='ays-loader'><\/div><div class='ays_quiz_results_page'><div class='ays_score_message'><\/div><div class='ays_message'><\/div><p class='ays_score ays_score_display_none animated'>Your score is<\/p><div class='ays-progress third'>\n                <span class='ays-progress-value third'>0%<\/span>\n                <div class='ays-progress-bg third'>\n                    <div class='ays-progress-bar third' style='width:0%;'><\/div>\n                <\/div>\n            <\/div><p class='ays_restart_button_p'><button type='button' class='action-button ays_restart_button ays-quiz-keyboard-active'>\n                    <i class='ays_fa ays_fa_undo'><\/i>\n                    <span>Restart quiz<\/span>\n                <\/button><\/p><\/div>\n            <\/div>\n        <\/div><style>\n            div#ays-quiz-container-10 * {\n                box-sizing: border-box;\n            }\n\n            #ays-quiz-container-10 [id^='ays_finish_quiz_'] div.step div.ays-abs-fs {\n                width: 90%;\n            }\n\n            \/* Styles for Internet Explorer start *\/\n            #ays-quiz-container-10 #ays_finish_quiz_10 {\n                \n            }\n\n            \/* Styles for Quiz container *\/\n            #ays-quiz-container-10{\n                min-height: 450px;\n                width:800px;\n                background-color:#ffffff;\n                background-position:center center;border-radius:8px;box-shadow: 0px 0px 15px  1px rgba(201,201,201,0.4);border-width: 3px;border-style: solid;border-color: #2f3752;}\n\n            \/* Styles for questions *\/\n            #ays-quiz-container-10 #ays_finish_quiz_10 div.step {\n                min-height: 450px;\n            }\n\n            \/* Styles for text inside quiz container *\/\n            #ays-quiz-container-10 .ays-start-page *:not(input):not([class^='enlighter']),\n            #ays-quiz-container-10 .ays_question_hint,\n            #ays-quiz-container-10 label[for^=\"ays-answer-\"],\n            #ays-quiz-container-10 #ays_finish_quiz_10 p,\n            #ays-quiz-container-10 #ays_finish_quiz_10 .ays-fs-title,\n            #ays-quiz-container-10 .ays-fs-subtitle,\n            #ays-quiz-container-10 .logged_in_message,\n            #ays-quiz-container-10 .ays_score_message,\n            #ays-quiz-container-10 .ays_message{\n               color: #000000;\n               outline: none;\n            }\n\n            div#ays-quiz-container-10 .ays_question_hint.ays-quiz-keyboard-active,\n            div#ays-quiz-container-10 .ays_restart_button.ays-quiz-keyboard-active {\n                outline: revert;\n            }\n\n            #ays-quiz-container-10 .ays-quiz-password-message-box,\n            #ays-quiz-container-10 .ays-quiz-question-note-message-box,\n            #ays-quiz-container-10 .ays_quiz_question,\n            #ays-quiz-container-10 .ays-quiz-question-category-box,\n            #ays-quiz-container-10 .ays_quiz_question *:not([class^='enlighter']) {\n                color: #000000;\n            }\n\n            #ays-quiz-container-10 .ays-quiz-question-category-box em {\n                color: #000000;\n            }\n\n            #ays-quiz-container-10 textarea,\n            #ays-quiz-container-10 input::first-letter,\n            #ays-quiz-container-10 select::first-letter,\n            #ays-quiz-container-10 option::first-letter {\n                color: initial !important;\n            }\n            \n            #ays-quiz-container-10 p::first-letter:not(.ays_no_questions_message) {\n                color: #000000 !important;\n                background-color: transparent !important;\n                font-size: inherit !important;\n                font-weight: inherit !important;\n                float: none !important;\n                line-height: inherit !important;\n                margin: 0 !important;\n                padding: 0 !important;\n            }\n            \n            \n            #ays-quiz-container-10 .select2-container,\n            #ays-quiz-container-10 .ays-field * {\n                font-size: 16px !important;\n            }\n    \n            #ays-quiz-container-10 .ays_quiz_question p {\n                font-size: 16px;\n                text-align: inherit;\n            }\n\n            #ays-quiz-container-10 .ays-fs-subtitle p {\n                text-align:  center ;\n            }\n\n            #ays-quiz-container-10 .ays_quiz_question {\n                text-align:  center ;\n                margin-bottom: 10px;\n            }\n\n            #ays-quiz-container-10 .ays_quiz_question pre {\n                max-width: 100%;\n                white-space: break-spaces;\n            }\n\n            \/* Mango theme (Version: 1.4.202301041836) | tid=32449 | Start *\/\n            #ays-quiz-container-10 .ays_quiz_question img {\n                float: unset;\n                margin: 0;\n            }\n            \/* Mango theme (Version: 1.4.202301041836) | End *\/\n\n            #ays-quiz-container-10 .ays-quiz-timer p {\n                font-size: 16px;\n            }\n\n            #ays-quiz-container-10 section.ays_quiz_redirection_timer_container hr,\n            #ays-quiz-container-10 section.ays_quiz_timer_container hr {\n                margin: 0;\n            }\n\n            #ays-quiz-container-10 section.ays_quiz_timer_container.ays_quiz_timer_red_warning .ays-quiz-timer {\n                color: #ff0000;\n            }\n\n            #ays-quiz-container-10 .ays_thank_you_fs p {\n                text-align: center;\n            }\n\n            #ays-quiz-container-10 .ays_quiz_results_page .ays_score span {\n                visibility: visible;\n            }\n\n            #ays-quiz-container-10 input[type='button'],\n            #ays-quiz-container-10 input[type='submit'] {\n                color: #ffffff !important;\n            }\n\n            #ays-quiz-container-10 input[type='button']{\n                outline: none;\n            }\n\n            #ays-quiz-container-10 .information_form input[type='text'],\n            #ays-quiz-container-10 .information_form input[type='url'],\n            #ays-quiz-container-10 .information_form input[type='number'],\n            #ays-quiz-container-10 .information_form input[type='email'],\n            #ays-quiz-container-10 .information_form input[type='checkbox'],\n            #ays-quiz-container-10 .information_form input[type='tel'],\n            #ays-quiz-container-10 .information_form textarea,\n            #ays-quiz-container-10 .information_form select,\n            #ays-quiz-container-10 .information_form option {\n                color: initial !important;\n                outline: none;\n                background-image: unset;\n            }\n\n            #ays-quiz-container-10 .wrong_answer_text{\n                color:#ff4d4d;\n            }\n            #ays-quiz-container-10 .right_answer_text{\n                color:#33cc33;\n            }\n\n            #ays-quiz-container-10 .wrong_answer_text p {\n                font-size:16px;\n            }\n\n            #ays-quiz-container-10 .ays_questtion_explanation p {\n                font-size:16px;\n            }\n\n            #ays-quiz-container-10 .wrong_answer_text *:not(strong) {\n                text-transform:none;\n                text-decoration: none;\n                letter-spacing: 0px;\n                font-weight: normal;\n            }\n\n            #ays-quiz-container-10 .ays_questtion_explanation *:not(strong) {\n                text-transform:none;\n                text-decoration: none;\n                letter-spacing: 0px;\n                font-weight: normal;\n            }\n\n            #ays-quiz-container-10 .right_answer_text *:not(strong) {\n                text-transform:none;\n                text-decoration: none;\n                letter-spacing: 0px;\n                font-weight: normal;\n            }\n\n            #ays-quiz-container-10 .right_answer_text p {\n                font-size:16px;\n            }\n\n            #ays-quiz-container-10 .ays-quiz-question-note-message-box p {\n                font-size:14px;\n            }\n\n            #ays-quiz-container-10 .ays-quiz-question-note-message-box *:not(strong) {\n                text-transform:none;\n                text-decoration: none;\n                letter-spacing: 0px;\n                font-weight: normal;\n            }\n            \n            #ays-quiz-container-10 .ays_cb_and_a,\n            #ays-quiz-container-10 .ays_cb_and_a * {\n                color: rgb(0,0,0);\n                text-align: center;\n            }\n\n            \/* Quiz textarea height *\/\n            #ays-quiz-container-10 textarea {\n                height: 100px;\n                min-height: 100px;\n            }\n\n            \/* Quiz rate and passed users count *\/\n            #ays-quiz-container-10 .ays_quizn_ancnoxneri_qanak,\n            #ays-quiz-container-10 .ays_quiz_rete_avg {\n                color:#ffffff !important;\n                background-color:#000000;   \n            }\n\n            #ays-quiz-container-10 .ays-questions-container > .ays_quizn_ancnoxneri_qanak {\n                padding: 5px 20px;\n            }\n            #ays-quiz-container-10 div.for_quiz_rate.ui.star.rating .icon {\n                color: rgba(0,0,0,0.35);\n            }\n            #ays-quiz-container-10 .ays_quiz_rete_avg div.for_quiz_rate_avg.ui.star.rating .icon {\n                color: rgba(255,255,255,0.5);\n            }\n\n            #ays-quiz-container-10 .ays_quiz_rete .ays-quiz-rate-link-box .ays-quiz-rate-link {\n                color: #000000;\n            }\n\n            \/* Loaders *\/            \n            #ays-quiz-container-10 div.lds-spinner,\n            #ays-quiz-container-10 div.lds-spinner2 {\n                color: #000000;\n            }\n            #ays-quiz-container-10 div.lds-spinner div:after,\n            #ays-quiz-container-10 div.lds-spinner2 div:after {\n                background-color: #000000;\n            }\n            #ays-quiz-container-10 .lds-circle,\n            #ays-quiz-container-10 .lds-facebook div,\n            #ays-quiz-container-10 .lds-ellipsis div{\n                background: #000000;\n            }\n            #ays-quiz-container-10 .lds-ripple div{\n                border-color: #000000;\n            }\n            #ays-quiz-container-10 .lds-dual-ring::after,\n            #ays-quiz-container-10 .lds-hourglass::after{\n                border-color: #000000 transparent #000000 transparent;\n            }\n\n            \/* Stars *\/\n            #ays-quiz-container-10 .ui.rating .icon,\n            #ays-quiz-container-10 .ui.rating .icon:before {\n                font-family: Rating !important;\n            }\n\n            \/* Progress bars *\/\n            #ays-quiz-container-10 #ays_finish_quiz_10 .ays-progress {\n                border-color: rgba(0,0,0,0.8);\n            }\n            #ays-quiz-container-10 #ays_finish_quiz_10 .ays-progress-bg {\n                background-color: rgba(0,0,0,0.3);\n            }\n            #ays-quiz-container-10 . {\n                background-color: #5d6cf9;\n            }\n            #ays-quiz-container-10 . {\n                background-color: #000000;\n            }    \n            #ays-quiz-container-10 .ays-progress-value {\n                color: #000000;\n                text-align: center;\n            }\n            #ays-quiz-container-10 .ays-progress-bar {\n                background-color: #5d6cf9;\n            }\n            #ays-quiz-container-10 .ays-question-counter .ays-live-bar-wrap {\n                direction:ltr !important;\n            }\n            #ays-quiz-container-10 .ays-live-bar-fill{\n                color: #000000;\n                border-bottom: 2px solid rgba(0,0,0,0.8);\n                text-shadow: 0px 0px 5px #ffffff;\n            }\n            #ays-quiz-container-10 .ays-live-bar-fill.ays-live-fourth,\n            #ays-quiz-container-10 .ays-live-bar-fill.ays-live-third,\n            #ays-quiz-container-10 .ays-live-bar-fill.ays-live-second {\n                text-shadow: unset;\n            }\n            #ays-quiz-container-10 .ays-live-bar-percent{\n                display:none;\n            }\n            #ays-quiz-container-10 #ays_finish_quiz_10 .ays_average {\n                text-align: center;\n            }\n            \n            \/* Music, Sound *\/\n            #ays-quiz-container-10 .ays_music_sound {\n                color:rgb(0,0,0);\n            }\n\n            \/* Dropdown questions scroll bar *\/\n            #ays-quiz-container-10 blockquote {\n                border-left-color: #000000 !important;                                      \n            }\n\n            \/* Quiz Password *\/\n            #ays-quiz-container-10 .ays-start-page > input[id^='ays_quiz_password_val_'],\n            #ays-quiz-container-10 .ays-quiz-password-toggle-visibility-box {\n                width: 100%;\n            }\n\n\n            \/* Question hint *\/\n            #ays-quiz-container-10 .ays_question_hint_container .ays_question_hint_text {\n                background-color:#ffffff;\n                box-shadow: 0 0 15px 3px rgba(201,201,201,0.6);\n                max-width: 270px;\n            }\n\n            #ays-quiz-container-10 .ays_question_hint_container .ays_question_hint_text p {\n                max-width: unset;\n            }\n\n            #ays-quiz-container-10 .ays-quiz-additonal-box {\n                display: flex;\n                justify-content: flex-end;\n                align-items: center;\n                position: relative;  \n            }\n\n            #ays-quiz-container-10 .ays_questions_hint_max_width_class {\n                max-width: 80%;\n            }\n\n            \/* Information form *\/\n            #ays-quiz-container-10 .ays-form-title{\n                color:rgb(0,0,0);\n            }\n\n            \/* Quiz timer *\/\n            #ays-quiz-container-10 div.ays-quiz-redirection-timer,\n            #ays-quiz-container-10 div.ays-quiz-timer{\n                color: #000000;\n                text-align: center;\n            }\n\n            #ays-quiz-container-10 div.ays-quiz-timer.ays-quiz-message-before-timer:before {\n                font-weight: 500;\n            }\n\n            \/* Quiz title \/ transformation *\/\n            #ays-quiz-container-10 .ays-fs-title{\n                text-transform: uppercase;\n                font-size: 28px;\n                text-align: center;\n                    text-shadow: none;\n            }\n            \n            \/* Quiz buttons *\/\n            #ays-quiz-container-10 .ays_arrow {\n                color:#ffffff!important;\n            }\n            #ays-quiz-container-10 input#ays-submit,\n            #ays-quiz-container-10 #ays_finish_quiz_10 .action-button,\n            div#ays-quiz-container-10 #ays_finish_quiz_10 .action-button.ays_restart_button,\n            #ays-quiz-container-10 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn,\n            #ays-quiz-container-10 .ays-quiz-category-selective-submit-bttn {\n                background: none;\n                background-color: #5d6cf9;\n                color:#ffffff;\n                font-size: 18px;\n                padding: 14px 36px;\n                border-radius: 8px;\n                height: auto;\n                letter-spacing: 0;\n                box-shadow: unset;\n                width: auto;\n                \/* border: unset; *\/\n                min-height: unset;\n                line-height: normal;\n                text-shadow: unset;\n            }\n            #ays-quiz-container-10 input#ays-submit,\n            #ays-quiz-container-10 #ays_finish_quiz_10 input.action-button,\n            #ays-quiz-container-10 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn,\n            #ays-quiz-container-10 .ays-quiz-category-selective-submit-bttn {\n                \n            }\n\n            #ays-quiz-container-10 #ays_finish_quiz_10 .action-button.ays_check_answer {\n                padding: 5px 10px;\n                font-size: 18px !important;\n            }\n            #ays-quiz-container-10 #ays_finish_quiz_10 .action-button.ays_restart_button {\n                white-space: nowrap;\n                padding: 5px 10px;\n                white-space: normal;\n            }\n            #ays-quiz-container-10 input#ays-submit:hover,\n            #ays-quiz-container-10 input#ays-submit:focus,\n            #ays-quiz-container-10 #ays_finish_quiz_10 .action-button:hover,\n            #ays-quiz-container-10 #ays_finish_quiz_10 .action-button:focus,\n            #ays-quiz-container-10 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn:hover,\n            #ays-quiz-container-10 .ays-quiz-category-selective-submit-bttn:hover {\n                background: none;\n                box-shadow: 0 0 0 2px #ffffff;\n                background-color: #5d6cf9;\n            }\n            #ays-quiz-container-10 .ays_restart_button {\n                color: #ffffff;\n            }\n            \n            #ays-quiz-container-10 .ays_restart_button_p,\n            #ays-quiz-container-10 .ays_buttons_div {\n                justify-content: center;\n            }\n\n            #ays-quiz-container-10 .ays_finish.action-button{\n                margin: 10px 5px;\n            }\n\n            #ays-quiz-container-10 .ays-share-btn.ays-share-btn-branded {\n                color: #fff;\n                display: inline-block;\n            }\n\n            #ays-quiz-container-10 .ays_quiz_results .ays-field.checked_answer_div.correct_div input:checked+label {\n                background-color: transparent;\n            }\n                        \n            \/* Question answers *\/\n            #ays-quiz-container-10 .ays-field {\n                    border-color: #dddddd;\n                    border-style: solid;\n                    border-width: 1px;\n                    box-shadow: none;flex-direction: row-reverse;\n            }\n            \n\n            \/* Answer maximum length of a text field *\/\n            #ays-quiz-container-10 .ays_quiz_question_text_message{\n                color: #000000;\n                text-align: left;\n                font-size: 12px;\n            }\n\n            div#ays-quiz-container-10 div.ays_quiz_question_text_error_message {\n                color: #ff0000;\n            }\n\n            \/* Questions answer image *\/\n            #ays-quiz-container-10 .ays-answer-image {\n                width:15em;\n                height:150px;\n                object-fit: cover;\n            }\n            \n            #ays-quiz-container-10 .ays-quiz-answers .ays-field:hover:not(.ays-answered-text-input){\n                opacity: 1;\n            }\n            #ays-quiz-container-10 #ays_finish_quiz_10 .ays-field label.ays_answer_caption[for^='ays-answer-'] {\n                z-index: 1;\n                position:initial;bottom:0;}\n            #ays-quiz-container-10 #ays_finish_quiz_10 .ays-field input~label[for^='ays-answer-'] {\n                padding: 5px;\n            }\n\n            #ays-quiz-container-10 #ays_finish_quiz_10 .ays-field {\n                margin-bottom: 12px;\n            }\n            #ays-quiz-container-10 #ays_finish_quiz_10 .ays-field.ays_grid_view_item {\n                width: calc(50% - 6px);\n            }\n            #ays-quiz-container-10 #ays_finish_quiz_10 .ays-field.ays_grid_view_item:nth-child(odd) {\n                margin-right: 6px;\n            }\n            \n            #ays-quiz-container-10 #ays_finish_quiz_10 .ays-field input:checked+label:before {\n                border-color: #5d6cf9;\n                background: #5d6cf9;\n                background-clip: content-box;\n            }\n            #ays-quiz-container-10 .ays-quiz-answers div.ays-text-right-answer {\n                color: #000000;\n            }\n                        \n            \/* Questions answer right\/wrong icons *\/\n            #ays-quiz-container-10 .ays-field input~label.answered.correct:after{\n                content: '';          }\n            #ays-quiz-container-10 .ays-field input~label.answered.wrong:after{\n                content: '';\n            }\n            #ays-quiz-container-10 .ays-field label.answered:last-of-type:after{\n                display: none;\n                height: auto;\n                left: 10px;top: 10px;}\n            \/* Dropdown questions *\/            \n            #ays-quiz-container-10 #ays_finish_quiz_10 .ays-field .select2-container--default .select2-selection--single {\n                border-bottom: 2px solid #5d6cf9;\n                background-color: #5d6cf9;\n            }\n            \n            #ays-quiz-container-10 .ays-field .select2-container--default .select2-selection--single .select2-selection__placeholder,\n            #ays-quiz-container-10 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered,\n            #ays-quiz-container-10 .ays-field .select2-container--default .select2-selection--single .select2-selection__arrow {\n                color: #ffffff;\n            }\n\n            #ays-quiz-container-10 .select2-container--default .select2-search--dropdown .select2-search__field:focus,\n            #ays-quiz-container-10 .select2-container--default .select2-search--dropdown .select2-search__field {\n                outline: unset;\n                padding: 0.75rem;\n            }\n\n            #ays-quiz-container-10 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered,\n            #ays-quiz-container-10 .select2-container--default .select2-results__option--highlighted[aria-selected] {\n                background-color: #5d6cf9;\n            }\n\n            #ays-quiz-container-10 .ays-field .select2-container--default,\n            #ays-quiz-container-10 .ays-field .select2-container--default .selection,\n            #ays-quiz-container-10 .ays-field .select2-container--default .dropdown-wrapper,\n            #ays-quiz-container-10 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered,\n            #ays-quiz-container-10 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered .select2-selection__placeholder,\n            #ays-quiz-container-10 .ays-field .select2-container--default .select2-selection--single .select2-selection__arrow,\n            #ays-quiz-container-10 .ays-field .select2-container--default .select2-selection--single .select2-selection__arrow b[role='presentation'] {\n                font-size: 16px !important;\n            }\n\n            #ays-quiz-container-10 .select2-container--default .select2-results__option {\n                padding: 6px;\n            }\n            \n            \/* Dropdown questions scroll bar *\/\n            #ays-quiz-container-10 .select2-results__options::-webkit-scrollbar {\n                width: 7px;\n            }\n            #ays-quiz-container-10 .select2-results__options::-webkit-scrollbar-track {\n                background-color: rgba(255,255,255,0.35);\n            }\n            #ays-quiz-container-10 .select2-results__options::-webkit-scrollbar-thumb {\n                transition: .3s ease-in-out;\n                background-color: rgba(0,0,0,0.55);\n            }\n            #ays-quiz-container-10 .select2-results__options::-webkit-scrollbar-thumb:hover {\n                transition: .3s ease-in-out;\n                background-color: rgba(0,0,0,0.85);\n            }\n\n            \/* Audio \/ Video *\/\n            #ays-quiz-container-10 .mejs-container .mejs-time{\n                box-sizing: unset;\n            }\n            #ays-quiz-container-10 .mejs-container .mejs-time-rail {\n                padding-top: 15px;\n            }\n\n            #ays-quiz-container-10 .mejs-container .mejs-mediaelement video {\n                margin: 0;\n            }\n\n            \/* Limitation *\/\n            #ays-quiz-container-10 .ays-quiz-limitation-count-of-takers {\n                padding: 50px;\n            }\n\n            #ays-quiz-container-10 div.ays-quiz-results-toggle-block span.ays-show-res-toggle.ays-res-toggle-show,\n            #ays-quiz-container-10 div.ays-quiz-results-toggle-block span.ays-show-res-toggle.ays-res-toggle-hide{\n                color: #000000;\n            }\n\n            #ays-quiz-container-10 div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle {\n                border: 1px solid #000000;\n            }\n\n            #ays-quiz-container-10 div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle {\n                border: 1px solid #000000;\n            }\n\n            #ays-quiz-container-10 div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle:after{\n                background: #000000;\n            }\n\n            #ays-quiz-container-10.ays_quiz_elegant_dark div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle:after,\n            #ays-quiz-container-10.ays_quiz_rect_dark div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle:after{\n                background: #000;\n            }\n\n            \/* Hestia theme (Version: 3.0.16) | Start *\/\n            #ays-quiz-container-10 .mejs-container .mejs-inner .mejs-controls .mejs-button > button:hover,\n            #ays-quiz-container-10 .mejs-container .mejs-inner .mejs-controls .mejs-button > button {\n                box-shadow: unset;\n                background-color: transparent;\n            }\n            #ays-quiz-container-10 .mejs-container .mejs-inner .mejs-controls .mejs-button > button {\n                margin: 10px 6px;\n            }\n            \/* Hestia theme (Version: 3.0.16) | End *\/\n\n            \/* Go theme (Version: 1.4.3) | Start *\/\n            #ays-quiz-container-10 label[for^='ays-answer']:before,\n            #ays-quiz-container-10 label[for^='ays-answer']:before {\n                -webkit-mask-image: unset;\n                mask-image: unset;\n            }\n\n            #ays-quiz-container-10.ays_quiz_classic_light .ays-field input:checked+label.answered.correct:before,\n            #ays-quiz-container-10.ays_quiz_classic_dark .ays-field input:checked+label.answered.correct:before {\n                background-color: #5d6cf9 !important;\n                background-color: rgba(39,174,96, 1) !important;\n            }\n            \/* Go theme (Version: 1.4.3) | End *\/\n\n            #ays-quiz-container-10 .ays_quiz_results fieldset.ays_fieldset .ays_quiz_question .wp-video {\n                width: 100% !important;\n                max-width: 100%;\n            }\n\n            \/* Classic Dark \/ Classic Light *\/\n            \/* Dropdown questions right\/wrong styles *\/\n            #ays-quiz-container-10.ays_quiz_classic_dark .correct_div,\n            #ays-quiz-container-10.ays_quiz_classic_light .correct_div{\n                border-color:green !important;\n                opacity: 1 !important;\n                background-color: rgba(39,174,96,0.4) !important;\n            }\n            #ays-quiz-container-10.ays_quiz_classic_dark .correct_div .selected-field,\n            #ays-quiz-container-10.ays_quiz_classic_light .correct_div .selected-field {\n                padding: 0px 10px 0px 10px;\n                color: green !important;\n            }\n\n            #ays-quiz-container-10.ays_quiz_classic_dark .wrong_div,\n            #ays-quiz-container-10.ays_quiz_classic_light .wrong_div{\n                border-color:red !important;\n                opacity: 1 !important;\n                background-color: rgba(243,134,129,0.4) !important;\n            }\n            #ays-quiz-container-10.ays_quiz_classic_dark .ays-field.checked_answer_div.wrong_div input:checked~label,\n            #ays-quiz-container-10.ays_quiz_classic_light .ays-field.checked_answer_div.wrong_div input:checked~label {\n                background-color: rgba(243,134,129,0.4) !important;\n            }\n            #ays-quiz-container-10.ays_quiz_classic_dark .ays-field,\n            #ays-quiz-container-10.ays_quiz_classic_light .ays-field {\n                text-align: left;\n                \/*margin-bottom: 10px;*\/\n                padding: 0;\n                transition: .3s ease-in-out;\n            }\n\n            #ays-quiz-container-10 .ays-quiz-close-full-screen {\n                fill: #000000;\n            }\n\n            #ays-quiz-container-10 .ays-quiz-open-full-screen {\n                fill: #000000;\n            }\n\n            #ays-quiz-container-10 .ays_quiz_login_form p{\n                color: #000000;\n            }\n\n            \/* report questions modal start *\/\n            .ays-modal-reports {\n                display: none;\n                position: fixed;\n                z-index: 9999;\n                left: 0;\n                top: 0;\n                width: 100%;\n                height: 100%;\n                overflow: auto;\n                background-color: rgba(0, 0, 0, 0.4);\n                animation-duration: .5s;\n                background-color: rgba(0, 0, 0, 0.4);\n            }\n\n            #ays-quiz-question-report-modal-10 .ays-modal-content-reports {\n                background-color: #fefefe;\n                margin: 10% auto;\n                border: 1px solid #888;\n                max-width: 500px;\n                width: 100%;\n                border-radius: 10px;\n                padding: 20px;\n                box-sizing: border-box;\n                position: relative;\n            }\n\n            #ays-quiz-question-report-modal-10 .ays-modal-content-reports label{\n                display: block;\n                margin-bottom: 10px;\n                font-weight: bold;\n                letter-spacing: normal;\n            }\n\n            #ays-quiz-question-report-modal-10 .ays-modal-content-reports textarea {\n                display: block;\n                width: 100%;\n                height: 100px;\n                padding: 5px;\n                box-sizing: border-box;\n                border-radius: 5px;\n                border: 1px solid #ccc;\n                max-width: 100%;\n                max-height: 500px;\n                resize: vertical;\n                transition: unset;\n            }\n\n            #ays-quiz-question-report-modal-10 .ays-modal-content-reports input.ays-quiz-submit-question-report {\n                background-color: #0073aa;\n                color: #fff !important;\n                border: none;\n                border-radius: 5px;\n                padding: 10px 20px;\n                cursor: pointer;\n                margin-top: 20px;\n                line-height: normal;\n                letter-spacing: normal;\n                box-shadow: unset;\n                background-image: unset;\n            }\n\n            #ays-quiz-question-report-modal-10 .ays-close-reports-window {\n                color: #aaa;\n                font-weight: bold;\n                position: absolute;\n                top: 1%;\n                right: 1%;\n            }\n\n            #ays-quiz-question-report-modal-10 .ays-close-reports-window img {\n                box-shadow: unset;\n            }\n            \n            #ays-quiz-question-report-modal-10 .ays-quiz-preloader img {\n                box-shadow: unset;\n            }\n\n            #ays-quiz-question-report-modal-10 .ays-close-reports-window img:hover,\n            #ays-quiz-question-report-modal-10 .ays-close-reports-window img:focus {\n                cursor: pointer;\n            }\n\n            #ays-quiz-question-report-modal-10 .ays-quiz-question-report-error {\n                display: none;\n                font-size: 13px;\n                color: #f00;\n                text-align: left;\n            }\n\n            #ays-quiz-question-report-modal-10 .ays-quiz-question-report-textarea-label,\n            #ays-quiz-question-report-modal-10 .ays-quiz-question-report-title {\n                text-align: left;\n            }\n\n            #ays-quiz-question-report-modal-10 .ays_quiz_modal_overlay {\n                width: 100%;\n                height: 100%;\n                position: fixed;\n                top: 0;\n                left: 0;\n                position: absolute;\n                z-index: 1000000000;\n                flex-direction: column;\n            }\n\n            #ays-quiz-question-report-modal-10 .ays-quiz-container .ays-quiz-user-c\u0570oosing-anonymous-assessment {\n                margin: 10px 0;\n            }\n\n            \/* report questions modal end *\/\n\n            @media screen and (max-width: 768px){\n                #ays-quiz-container-10{\n                    max-width: 100%;\n                }\n\n                div#ays-quiz-container-10 [id^='ays_finish_quiz_'] div.step div.ays-abs-fs {\n                    width: 90%;\n                }\n\n                #ays-quiz-container-10 .ays_quiz_question p {\n                    font-size: 16px;\n                }\n\n                #ays-quiz-container-10 .select2-container,\n                #ays-quiz-container-10 .ays-field * {\n                    font-size: 15px !important;\n                }\n\n                div#ays-quiz-container-10 input#ays-submit,\n                div#ays-quiz-container-10 #ays_finish_quiz_10 .action-button,\n                div#ays-quiz-container-10 #ays_finish_quiz_10 .action-button.ays_restart_button,\n                #ays-quiz-container-10 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn,\n                #ays-quiz-container-10 .ays-quiz-category-selective-submit-bttn {\n                    font-size: 18px;\n                }\n\n                \/* Quiz title \/ mobile font size *\/\n                div#ays-quiz-container-10 .ays-fs-title {\n                    font-size: 20px;\n                }\n\n                \/* Question explanation \/ mobile font size *\/\n                #ays-quiz-container-10 .ays_questtion_explanation p {\n                    font-size:16px;\n                }\n\n                \/* Wrong answers \/ mobile font size *\/\n                #ays-quiz-container-10 .wrong_answer_text p {\n                    font-size:16px;\n                }\n\n                \/* Right answers \/ mobile font size *\/\n                #ays-quiz-container-10 .right_answer_text p {\n                    font-size:16px;\n                }\n\n                \/* Note text \/ mobile font size *\/\n                #ays-quiz-container-10 .ays-quiz-question-note-message-box p {\n                    font-size:14px;\n                }\n\n                div#ays-quiz-container-10 .ays-quiz-question-note-message-box *:not(strong) {\n                    text-transform:none;\n                    text-decoration: none;\n                    letter-spacing: 0px;\n                    font-weight: normal;\n                }\n\n                div#ays-quiz-container-10 .ays_questtion_explanation *:not(strong) {\n                    text-transform:none;\n                    text-decoration: none;\n                    letter-spacing: 0px;\n                    font-weight: normal;\n                }\n\n                div#ays-quiz-container-10 .right_answer_text *:not(strong) {\n                    text-transform:none;\n                    text-decoration: none;\n                    letter-spacing: 0px;\n                    font-weight: normal;\n                }\n\n                div#ays-quiz-container-10 .wrong_answer_text *:not(strong) {\n                    text-transform:none;\n                    text-decoration: none;\n                    letter-spacing: 0px;\n                    font-weight: normal;\n                }\n            }\n            \/* Custom css styles *\/\n            \n            \n            \/* RTL direction styles *\/\n            \n        <\/style>\n            <style>\n                #ays-quiz-container-10 p {\n                    margin: 0.625em;\n                }\n                \n                #ays-quiz-container-10 .ays-field.checked_answer_div input:checked~label {\n                    background-color: rgba(93,108,249,0.6);\n                }\n\n                #ays-quiz-container-10.ays_quiz_classic_light  .ays_quiz_results .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-10.ays_quiz_classic_dark  .ays_quiz_results .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-10.ays_quiz_classic_light  .enable_correction .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-10.ays_quiz_classic_dark  .enable_correction .ays-field.checked_answer_div input:checked~label {\n                    background-color: transparent;\n                }\n\n                #ays-quiz-container-10.ays_quiz_classic_light  .ays_quiz_results .not_influence_to_score .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-10.ays_quiz_classic_dark  .ays_quiz_results .not_influence_to_score .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-10.ays_quiz_classic_light  .enable_correction .not_influence_to_score .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-10.ays_quiz_classic_dark  .enable_correction .not_influence_to_score .ays-field.checked_answer_div input:checked~label {\n                    background-color: rgba(93,108,249,0.6);\n                }\n                \n                #ays-quiz-container-10 .ays-field.checked_answer_div input:checked~label:hover {\n                    background-color: rgba(93,108,249,0.8);\n                }\n\n                #ays-quiz-container-10.ays-quiz-container.ays_quiz_classic_light .ays-questions-container .ays-field:hover label[for^='ays-answer-'],\n                #ays-quiz-container-10 .ays-field:hover:not(.ays-answered-text-input){\n                    background: rgba(93,108,249,0.8);\n                    \/* border-radius: 4px; *\/\n                    color: #fff;\n                    transition: all .3s;\n                }\n                #ays-quiz-container-10 #ays_finish_quiz_10 .action-button:hover,\n                #ays-quiz-container-10 #ays_finish_quiz_10 .action-button:focus,\n                #ays-quiz-container-10 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn:hover,\n                #ays-quiz-container-10 .ays-quiz-category-selective-submit-bttn:focus {\n                    box-shadow: 0 0 0 2px white, 0 0 0 3px #5d6cf9;\n                    background: #5d6cf9;\n                }\n            <\/style><script>\n                if(typeof aysQuizOptions === 'undefined'){\n                    var aysQuizOptions = [];\n                }\n                aysQuizOptions['10']  = '{"quiz_version":"6.7.0.88","core_version":"6.8.3","php_version":"8.3.28","color":"#5d6cf9","bg_color":"#ffffff","text_color":"#000000","height":450,"width":800,"enable_logged_users":"off","information_form":"disable","form_name":"on","form_email":"on","form_phone":"on","image_width":"","image_height":"","enable_correction":"off","enable_progress_bar":"on","enable_questions_result":"on","randomize_questions":"off","randomize_answers":"off","enable_questions_counter":"on","enable_restriction_pass":"off","restriction_pass_message":"","user_role":[],"custom_css":"","limit_users":"off","limitation_message":"","redirect_url":"","redirection_delay":0,"answers_view":"list","enable_rtl_direction":"off","enable_logged_users_message":"","questions_count":"","enable_question_bank":"off","enable_live_progress_bar":"on","enable_percent_view":"off","enable_average_statistical":"off","enable_next_button":"on","enable_previous_button":"on","enable_arrows":"off","timer_text":"<p style=\"text-align: center\">2024 Math Kangaroo Advent Calendar Mini<\/p>\r\n<p style=\"font-size: 12px;text-align: center\">\u2728 The Mini Calendar is designed for children in Grades 1 to 3, offering fun and engaging puzzles.<\/p>","quiz_theme":"classic_light","enable_social_buttons":"off","result_text":"Thank you for participating in the 2025 Math Kangaroo Advent Calendar!\r\n\r\nKeep up the great work, and enjoy the fun and learning along the way! \ud83c\udf84\ud83e\udd98","enable_pass_count":"off","hide_score":"off","rate_form_title":"Please rate this quiz","box_shadow_color":"#c9c9c9","quiz_border_radius":"8","quiz_bg_image":"","quiz_border_width":"3","quiz_border_style":"solid","quiz_border_color":"#2f3752","quiz_loader":"hourglass","create_date":null,"author":"{\"id\":\"1\",\"name\":\"Math Kangaroo USA\"}","quest_animation":"fade","form_title":"","enable_bg_music":"off","quiz_bg_music":"","answers_font_size":16,"show_create_date":"off","show_author":"off","enable_early_finish":"on","answers_rw_texts":"on_results_page","disable_store_data":"off","enable_background_gradient":"off","background_gradient_color_1":"#000","background_gradient_color_2":"#fff","quiz_gradient_direction":"vertical","redirect_after_submit":"off","submit_redirect_url":"","submit_redirect_delay":"0","progress_bar_style":"third","enable_exit_button":"off","exit_redirect_url":"","image_sizing":"cover","quiz_bg_image_position":"center center","custom_class":"","enable_social_links":"off","social_links":{"linkedin_link":"","facebook_link":"","twitter_link":"","vkontakte_link":"","instagram_link":"","youtube_link":"","behance_link":""},"show_quiz_title":"on","show_quiz_desc":"on","show_login_form":"off","mobile_max_width":"","limit_users_by":"ip","active_date_check":"off","activeInterval":"2025-12-19 17:12:52","deactiveInterval":"2025-12-19 17:12:52","active_date_pre_start_message":"The quiz will be available soon!","active_date_message":"This quiz has expired!","explanation_time":"4","enable_clear_answer":"off","show_category":"on","show_question_category":"on","display_score":"by_correctness","enable_rw_asnwers_sounds":"off","ans_right_wrong_icon":"none","quiz_bg_img_in_finish_page":"off","finish_after_wrong_answer":"off","after_timer_text":"","enable_enter_key":"on","buttons_text_color":"#ffffff","buttons_position":"center","show_questions_explanation":"on_results_page","enable_audio_autoplay":"off","buttons_size":"large","buttons_font_size":"18","buttons_width":"","buttons_left_right_padding":"36","buttons_top_bottom_padding":"14","buttons_border_radius":"8","enable_leave_page":"on","enable_tackers_count":"off","tackers_count":"","pass_score":0,"pass_score_message":"<h4 style=\"text-align: center\">Congratulations!<\/h4>\r\n<p style=\"text-align: center\">You successfully solved the puzzle!<\/p>","fail_score_message":"<h4 style=\"text-align: center\">Oops!<\/h4>\r\n<p style=\"text-align: center\">It looks like you didn\u2019t pass the quiz this time.<\/p>\r\n<p style=\"text-align: center\">Don\u2019t worry\u2014try again and give it another shot! \ud83c\udf1f<\/p>","question_font_size":16,"quiz_width_by_percentage_px":"pixels","questions_hint_icon_or_text":"default","questions_hint_value":"","enable_early_finsh_comfirm_box":"on","enable_questions_ordering_by_cat":"on","show_schedule_timer":"off","show_timer_type":"countdown","quiz_loader_text_value":"","hide_correct_answers":"off","show_information_form":"on","quiz_loader_custom_gif":"","disable_hover_effect":"off","quiz_loader_custom_gif_width":100,"progress_live_bar_style":"default","quiz_title_transformation":"uppercase","show_answers_numbering":"none","quiz_image_width_by_percentage_px":"pixels","quiz_image_height":"","quiz_bg_img_on_start_page":"off","quiz_box_shadow_x_offset":0,"quiz_box_shadow_y_offset":0,"quiz_box_shadow_z_offset":15,"quiz_question_text_alignment":"center","quiz_arrow_type":"default","quiz_show_wrong_answers_first":"off","quiz_display_all_questions":"off","quiz_timer_red_warning":"on","quiz_schedule_timezone":"America\/Chicago","questions_hint_button_value":"","quiz_tackers_message":"This quiz is expired!","quiz_enable_linkedin_share_button":"on","quiz_enable_facebook_share_button":"on","quiz_enable_twitter_share_button":"on","quiz_make_responses_anonymous":"off","quiz_make_all_review_link":"off","show_questions_numbering":"1.","quiz_message_before_timer":"","enable_password":"off","password_quiz":"","quiz_password_message":"","enable_see_result_confirm_box":"off","display_fields_labels":"off","enable_full_screen_mode":"off","quiz_enable_password_visibility":"off","question_mobile_font_size":16,"answers_mobile_font_size":15,"social_buttons_heading":"","quiz_enable_vkontakte_share_button":"on","answers_border":"on","answers_border_width":1,"answers_border_style":"solid","answers_border_color":"#dddddd","ans_img_height":"150","show_answers_caption":"on","ans_img_caption_position":"bottom","social_links_heading":"","quiz_enable_question_category_description":"on","answers_margin":12,"quiz_message_before_redirect_timer":"","buttons_mobile_font_size":18,"answers_box_shadow":"off","answers_box_shadow_color":"#000","quiz_answer_box_shadow_x_offset":0,"quiz_answer_box_shadow_y_offset":0,"quiz_answer_box_shadow_z_offset":10,"quiz_create_author":1,"quiz_enable_title_text_shadow":"off","quiz_title_text_shadow_color":"#333","quiz_title_text_shadow_x_offset":2,"quiz_title_text_shadow_y_offset":2,"quiz_title_text_shadow_z_offset":2,"quiz_show_only_wrong_answers":"off","quiz_title_font_size":28,"quiz_title_mobile_font_size":20,"quiz_password_width":"","quiz_review_placeholder_text":"","quiz_make_review_required":"off","quiz_enable_results_toggle":"off","quiz_review_thank_you_message":"","quiz_review_enable_comment_field":"on","quest_explanation_font_size":16,"quest_explanation_mobile_font_size":16,"quiz_waiting_time":"off","wrong_answers_font_size":16,"wrong_answers_mobile_font_size":16,"quiz_enable_question_image_zoom":"off","right_answers_font_size":16,"right_answers_mobile_font_size":16,"quiz_display_messages_before_buttons":"off","quiz_enable_user_c\u0570oosing_anonymous_assessment":"off","note_text_font_size":14,"note_text_mobile_font_size":14,"quiz_questions_numbering_by_category":"on","quiz_enable_custom_texts_for_buttons":"off","quiz_custom_texts_start_button":"Start","quiz_custom_texts_next_button":"Next","quiz_custom_texts_prev_button":"Prev","quiz_custom_texts_clear_button":"Clear","quiz_custom_texts_finish_button":"Finish","quiz_custom_texts_see_results_button":"See Result","quiz_custom_texts_restart_quiz_button":"Restart quiz","quiz_custom_texts_send_feedback_button":"Send feedback","quiz_custom_texts_load_more_button":"Load more","quiz_custom_texts_exit_button":"Exit","quiz_custom_texts_check_button":"Check","quiz_custom_texts_login_button":"Log In","quiz_enable_quiz_category_description":"on","quiz_admin_note_text_transform":"none","quiz_quest_explanation_text_transform":"none","quiz_right_answer_text_transform":"none","quiz_wrong_answer_text_transform":"none","quiz_admin_note_text_decoration":"none","quiz_quest_explanation_text_decoration":"none","quiz_right_answers_text_decoration":"none","quiz_wrong_answers_text_decoration":"none","quiz_admin_note_letter_spacing":"0","quiz_bg_img_during_the_quiz":"off","quiz_quest_explanation_letter_spacing":"0","quiz_right_answers_letter_spacing":"0","quiz_wrong_answers_letter_spacing":"0","quiz_admin_note_font_weight":"normal","quiz_quest_explanation_font_weight":"normal","quiz_right_answers_font_weight":"normal","quiz_wrong_answers_font_weight":"normal","quiz_content_max_width":90,"quiz_content_mobile_max_width":90,"quiz_timer_warning_text_color":"#ff0000","quiz_enable_default_hide_results_toggle":"off","quiz_show_restart_button_on_quiz_fail":"off","quiz_disable_input_focusing":"off","quiz_enable_keyboard_navigation":"on","quiz_admin_note_mobile_text_transform":"none","quiz_quest_explanation_mobile_text_transform":"none","quiz_right_answer_mobile_text_transform":"none","quiz_wrong_answer_mobile_text_transform":"none","quiz_admin_note_mobile_text_decoration":"none","quiz_dont_show_quiz":"off","enable_questions_reporting":"off","quiz_quest_explanation_mobile_text_decoration":"none","quiz_right_answers_mobile_text_decoration":"none","quiz_wrong_answers_mobile_text_decoration":"none","quiz_admin_note_mobile_letter_spacing":"0","quiz_quest_explanation_mobile_letter_spacing":"0","quiz_right_answers_mobile_letter_spacing":"0","quiz_wrong_answers_mobile_letter_spacing":"0","required_fields":null,"enable_timer":"off","enable_quiz_rate":"off","enable_rate_avg":"off","enable_box_shadow":"on","enable_border":"on","quiz_timer_in_title":"off","enable_rate_comments":"on","enable_restart_button":"on","autofill_user_data":"off","timer":100,"show_quiz_image":"on","quiz_enable_whatsapp_share_button":"off","submit_redirect_after":"","rw_answers_sounds":false,"id":"10","title":"2025_Days 1-24","description":"Let the countdown to Christmas be both festive and educational! \ud83c\udf84\ud83e\udd98","quiz_image":"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/3-1024x576.png","quiz_category_id":"4","question_ids":"59,60,61,62,63,66,64,65,67,68,69,70,84,88,90,91,93,96,101,102,103,104,105,106","ordering":"8","published":"1","intervals":null,"quiz_url":"","custom_post_id":"63716","author_id":"1","quiz_animation_top":100,"quiz_enable_animation_top":"on"}';\n        <\/script>\n                    <input type='hidden' name='quiz_id' value='10'\/>\n                    <input type='hidden' name='start_date' class='ays-start-date'\/>\n                <\/form><\/div>\n                            <\/div>\n                            <\/strong>[\/vc_column_text][\/vc_column][vc_column width=&#8221;1\/2&#8243; css=&#8221;.vc_custom_1733030443190{border-left-width: 1px !important;border-left-style: solid !important;border-radius: 1px !important;border-color: #ACAAAA !important;}&#8221;][vc_column_text css=&#8221;&#8221;]<\/p>\n<h4 style=\"text-align: center;\"><strong>2025 Math Kangaroo Advent Calendar Maxi<\/strong><\/h4>\n<p><span style=\"color: #000000;\">\u2728 The Maxi Calendar presents more challenging Christmas puzzles for children in Grades 4 to 6.<\/span>[\/vc_column_text][vc_column_text css=&#8221;&#8221;]<strong class=\"ays-quiz-shortcode-box\" title=\"\" data-toggle=\"tooltip\" data-original-title=\"Click for copy.\" aria-describedby=\"tooltip353721\">\n            <div class='ays-quiz-container ays_quiz_classic_light   ays-quiz-keyboard-active' data-quest-effect='fade'  data-hide-bg-image='false' id='ays-quiz-container-7'>\n                <div class='ays-live-bar-wrap '><div class='ays-live-bar-fill ' style='width: 0%;'><span><span class='ays-live-bar-percent ays-live-bar-count'><\/span>\/24<\/span><\/div><\/div>\n                \n                <div class='ays-questions-container'>\n                    \n                    \n                    \n                    <form action='' method='post' id='ays_finish_quiz_7' \n                        class='ays-quiz-form  enable_questions_result '\n                    >\n            <input type='hidden' value='list' class='answer_view_class'>\n            <input type='hidden' value='' class='ays_qm_enable_arrows'>\n            \n            \n            <div class='step active-step'>\n                <div class='ays-abs-fs ays-start-page'>\n                    <div class='ays_cb_and_a'><p style='margin:0!important;'><strong>Grades 4-6<\/strong><\/p><\/div>\n                    <img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/4-1024x576.png' alt='' class='ays_quiz_image'>\n                    <p class='ays-fs-title'>2025_Days 1-24<\/p>\n                    <div class='ays-fs-subtitle'><p>Let the countdown to Christmas be both festive and educational! \ud83c\udf84\ud83e\udd98<\/p>\n<\/div>\n                    <input type='hidden' name='ays_quiz_id' value='7'\/>\n                    <input type='hidden' name='ays_quiz_finish_nonce' value='d3ff469f47'>\n                    <input type='hidden' name='ays_quiz_curent_page_link' class='ays-quiz-curent-page-link' value='https:\/\/mathkangaroo.org\/mks\/wp-json\/wp\/v2\/pages\/63717'\/>\n                    <input type='hidden' name='ays_quiz_questions' value='71,72,73,74,75,76,77,78,79,80,81,82,83,87,89,92,94,95,97,98,100,99,108,107'>\n                    \n                    \n                    <input type='button'   class='ays_next start_button action-button ays-quiz-keyboard-active' value='Start' data-enable-leave-page=\"false\" \/>\n                    \n                    <\/div>\n                <\/div><div class='step ' data-question-id='71' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>1 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>1. <\/p>\n<p style=\"text-align: left\">Mia and Ole want to bake cookies. They found cookie cutters for the numbers 0 to 9 in the cupboard. They roll out the dough and cut out cookies. Each of the two children fills their own baking tray with cookie numbers.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63776\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-1-596x382.png\" alt=\"\" width=\"596\" height=\"382\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-1.png 596w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-1-300x192.png 300w\" sizes=\"auto, (max-width: 596px) 100vw, 596px\" \/><\/p>\n<p style=\"text-align: left\">\u201cLook,\u201d says Ole, \u201cif I multiply all my numbers together, I get a beautiful number as a result.\u201d<br \/>\nMia thinks, \u201cWhen I do the same, I always get 0. But when I add all my numbers together, I can get the same result. For the missing cookie number, I just have to cut out the correct number.\u201d<br \/>\nWhich number does Mia have to cut out last?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-71]' id='ays-answer-335-7' value='335'\/>\n\n                <label for='ays-answer-335-7' class='  ays_position_initial  ays-quiz-keyboard-label'>1<\/label><label for='ays-answer-335-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-71]' id='ays-answer-336-7' value='336'\/>\n\n                <label for='ays-answer-336-7' class='  ays_position_initial  ays-quiz-keyboard-label'>2<\/label><label for='ays-answer-336-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-71]' id='ays-answer-337-7' value='337'\/>\n\n                <label for='ays-answer-337-7' class='  ays_position_initial  ays-quiz-keyboard-label'>4<\/label><label for='ays-answer-337-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-71]' id='ays-answer-338-7' value='338'\/>\n\n                <label for='ays-answer-338-7' class='  ays_position_initial  ays-quiz-keyboard-label'>5<\/label><label for='ays-answer-338-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-71]' id='ays-answer-339-7' value='339'\/>\n\n                <label for='ays-answer-339-7' class='  ays_position_initial  ays-quiz-keyboard-label'>7<\/label><label for='ays-answer-339-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['71'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"54\" data-end=\"154\"><em><span style=\"color: #808080\">First, we multiply all the numbers on Ole\u2019s baking tray:<\/span><\/em><br data-start=\"110\" data-end=\"113\" \/><em><span style=\"color: #808080\"><strong data-start=\"113\" data-end=\"151\">1 \u00d7 1 \u00d7 1 \u00d7 1 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 3 = 24<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"156\" data-end=\"277\"><em><span style=\"color: #808080\">Mia also wants to get <strong data-start=\"178\" data-end=\"184\">24<\/strong>, but by <strong data-start=\"193\" data-end=\"203\">adding<\/strong> all her numbers. She already has:<\/span><\/em><br data-start=\"237\" data-end=\"240\" \/><em><span style=\"color: #808080\"><strong data-start=\"240\" data-end=\"274\">0 + 1 + 1 + 2 + 3 + 4 + 8 = 19<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"279\" data-end=\"333\"><em><span style=\"color: #808080\">So she still needs a <strong data-start=\"300\" data-end=\"305\">5<\/strong>, because <strong data-start=\"315\" data-end=\"330\">19 + 5 = 24<\/strong>.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"54\" data-end=\"154\"><em><span style=\"color: #808080\">First, we multiply all the numbers on Ole\u2019s baking tray:<\/span><\/em><br data-start=\"110\" data-end=\"113\" \/><em><span style=\"color: #808080\"><strong data-start=\"113\" data-end=\"151\">1 \u00d7 1 \u00d7 1 \u00d7 1 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 3 = 24<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"156\" data-end=\"277\"><em><span style=\"color: #808080\">Mia also wants to get <strong data-start=\"178\" data-end=\"184\">24<\/strong>, but by <strong data-start=\"193\" data-end=\"203\">adding<\/strong> all her numbers. She already has:<\/span><\/em><br data-start=\"237\" data-end=\"240\" \/><em><span style=\"color: #808080\"><strong data-start=\"240\" data-end=\"274\">0 + 1 + 1 + 2 + 3 + 4 + 8 = 19<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"279\" data-end=\"333\"><em><span style=\"color: #808080\">So she still needs a <strong data-start=\"300\" data-end=\"305\">5<\/strong>, because <strong data-start=\"315\" data-end=\"330\">19 + 5 = 24<\/strong>.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='72' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>2 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>2. <\/p>\n<p style=\"text-align: left\">Dominik made Dominosteine. It wasn\u2019t easy to neatly layer the dough,<br \/>\nmarzipan, and jam. In the end, Dominik coated some of the Dominosteine<br \/>\nwith dark chocolate and some with white chocolate.<br \/>\nThe finished Dominosteine go into a rectangular box:<\/p>\n<p style=\"text-align: left\">\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63777\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-2-416x250.png\" alt=\"\" width=\"416\" height=\"250\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-2.png 416w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-2-300x180.png 300w\" sizes=\"auto, (max-width: 416px) 100vw, 416px\" \/><\/p>\n<p style=\"text-align: left\">Dominik wants to fill the box completely. The dark and white Dominosteine should always be arranged alternately.<br \/>\nHow many Dominosteine of each type does Dominik still need to make?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-72]' id='ays-answer-340-7' value='340'\/>\n\n                <label for='ays-answer-340-7' class='  ays_position_initial  ays-quiz-keyboard-label'>7 dark and 9 white<\/label><label for='ays-answer-340-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-72]' id='ays-answer-341-7' value='341'\/>\n\n                <label for='ays-answer-341-7' class='  ays_position_initial  ays-quiz-keyboard-label'>8 dark and 9 white<\/label><label for='ays-answer-341-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-72]' id='ays-answer-342-7' value='342'\/>\n\n                <label for='ays-answer-342-7' class='  ays_position_initial  ays-quiz-keyboard-label'>8 dark and 8 white<\/label><label for='ays-answer-342-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-72]' id='ays-answer-343-7' value='343'\/>\n\n                <label for='ays-answer-343-7' class='  ays_position_initial  ays-quiz-keyboard-label'>9 dark and 8 white<\/label><label for='ays-answer-343-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-72]' id='ays-answer-344-7' value='344'\/>\n\n                <label for='ays-answer-344-7' class='  ays_position_initial  ays-quiz-keyboard-label'>9 dark and 7 white<\/label><label for='ays-answer-344-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['72'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p data-start=\"54\" data-end=\"231\"><em><span style=\"color: #808080\">The easiest way is to draw <strong data-start=\"81\" data-end=\"123\">straight horizontal and vertical lines<\/strong> in the empty part of the box and color the squares where the dominoes go, <strong data-start=\"198\" data-end=\"228\">alternating dark and white<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"233\" data-end=\"317\"><em><span style=\"color: #808080\">There are <strong data-start=\"243\" data-end=\"266\">17 dominoes missing<\/strong>, so only <strong data-start=\"276\" data-end=\"301\">dark (D) or white (W)<\/strong> can go there.<\/span><\/em><\/p>\n<p data-start=\"319\" data-end=\"463\"><em><span style=\"color: #808080\">If we count the dark and light dominoes one by one, we find out that Dominik still needs to make <strong data-start=\"416\" data-end=\"435\">8 dark dominoes<\/strong> and <strong data-start=\"440\" data-end=\"460\">9 white dominoes<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"319\" data-end=\"463\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63778\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-2a-358x207.png\" alt=\"\" width=\"358\" height=\"207\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-2a.png 358w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-2a-300x173.png 300w\" sizes=\"auto, (max-width: 358px) 100vw, 358px\" \/><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"54\" data-end=\"231\"><em><span style=\"color: #808080\">The easiest way is to draw <strong data-start=\"81\" data-end=\"123\">straight horizontal and vertical lines<\/strong> in the empty part of the box and color the squares where the dominoes go, <strong data-start=\"198\" data-end=\"228\">alternating dark and white<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"233\" data-end=\"317\"><em><span style=\"color: #808080\">There are <strong data-start=\"243\" data-end=\"266\">17 dominoes missing<\/strong>, so only <strong data-start=\"276\" data-end=\"301\">dark (D) or white (W)<\/strong> can go there.<\/span><\/em><\/p>\n<p data-start=\"319\" data-end=\"463\"><em><span style=\"color: #808080\">If we count the dark and light dominoes one by one, we find out that Dominik still needs to make <strong data-start=\"416\" data-end=\"435\">8 dark dominoes<\/strong> and <strong data-start=\"440\" data-end=\"460\">9 white dominoes<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"319\" data-end=\"463\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63778\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-2a-358x207.png\" alt=\"\" width=\"358\" height=\"207\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-2a.png 358w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-2a-300x173.png 300w\" sizes=\"auto, (max-width: 358px) 100vw, 358px\" \/><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='73' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>3 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>3. <\/p>\n<p style=\"text-align: left\">Linus and Paul are buying ingredients for baked apples. Their grandmother has given them a shopping list:<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63779\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-3-413x328.png\" alt=\"\" width=\"413\" height=\"328\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-3.png 413w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-3-300x238.png 300w\" sizes=\"auto, (max-width: 413px) 100vw, 413px\" \/><\/p>\n<p style=\"text-align: left\">They now want to divide the shopping fairly. What Linus carries home should be just as heavy as what Paul carries home.<br \/>\nHow much does each of them have to carry?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-73]' id='ays-answer-345-7' value='345'\/>\n\n                <label for='ays-answer-345-7' class='  ays_position_initial  ays-quiz-keyboard-label'>350g<\/label><label for='ays-answer-345-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-73]' id='ays-answer-346-7' value='346'\/>\n\n                <label for='ays-answer-346-7' class='  ays_position_initial  ays-quiz-keyboard-label'>400g<\/label><label for='ays-answer-346-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-73]' id='ays-answer-347-7' value='347'\/>\n\n                <label for='ays-answer-347-7' class='  ays_position_initial  ays-quiz-keyboard-label'>475g<\/label><label for='ays-answer-347-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-73]' id='ays-answer-348-7' value='348'\/>\n\n                <label for='ays-answer-348-7' class='  ays_position_initial  ays-quiz-keyboard-label'>550g<\/label><label for='ays-answer-348-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-73]' id='ays-answer-349-7' value='349'\/>\n\n                <label for='ays-answer-349-7' class='  ays_position_initial  ays-quiz-keyboard-label'>675<\/label><label for='ays-answer-349-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['73'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"54\" data-end=\"115\"><em><span style=\"color: #808080\">First, we find the <strong data-start=\"73\" data-end=\"112\">total weight of all the ingredients<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"117\" data-end=\"250\"><em><span style=\"color: #808080\">We buy <strong data-start=\"124\" data-end=\"146\">2 packs of almonds<\/strong>, and together they weigh <strong data-start=\"172\" data-end=\"193\">2 \u00d7 125 g = 250 g<\/strong>.<\/span><\/em><br data-start=\"194\" data-end=\"197\" \/><em><span style=\"color: #808080\">All the other ingredients are bought <strong data-start=\"234\" data-end=\"247\">only once<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"252\" data-end=\"337\"><em><span style=\"color: #808080\">Now we add up all the weights:<\/span><\/em><br data-start=\"282\" data-end=\"285\" \/><em><span style=\"color: #808080\"><strong data-start=\"285\" data-end=\"334\">250 g + 250 g + 100 g + 150 g + 200 g = 950 g<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"339\" data-end=\"427\"><em><span style=\"color: #808080\">There are <strong data-start=\"349\" data-end=\"371\">two people sharing<\/strong>, so each one carries <strong data-start=\"393\" data-end=\"401\">half<\/strong>:<\/span><\/em><br data-start=\"402\" data-end=\"405\" \/><em><span style=\"color: #808080\"><strong data-start=\"405\" data-end=\"424\">950 \u00f7 2 = 475 g<\/strong>.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"54\" data-end=\"115\"><em><span style=\"color: #808080\">First, we find the <strong data-start=\"73\" data-end=\"112\">total weight of all the ingredients<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"117\" data-end=\"250\"><em><span style=\"color: #808080\">We buy <strong data-start=\"124\" data-end=\"146\">2 packs of almonds<\/strong>, and together they weigh <strong data-start=\"172\" data-end=\"193\">2 \u00d7 125 g = 250 g<\/strong>.<\/span><\/em><br data-start=\"194\" data-end=\"197\" \/><em><span style=\"color: #808080\">All the other ingredients are bought <strong data-start=\"234\" data-end=\"247\">only once<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"252\" data-end=\"337\"><em><span style=\"color: #808080\">Now we add up all the weights:<\/span><\/em><br data-start=\"282\" data-end=\"285\" \/><em><span style=\"color: #808080\"><strong data-start=\"285\" data-end=\"334\">250 g + 250 g + 100 g + 150 g + 200 g = 950 g<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"339\" data-end=\"427\"><em><span style=\"color: #808080\">There are <strong data-start=\"349\" data-end=\"371\">two people sharing<\/strong>, so each one carries <strong data-start=\"393\" data-end=\"401\">half<\/strong>:<\/span><\/em><br data-start=\"402\" data-end=\"405\" \/><em><span style=\"color: #808080\"><strong data-start=\"405\" data-end=\"424\">950 \u00f7 2 = 475 g<\/strong>.<\/span><\/em><\/p>\n<p>&nbsp;<\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='74' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>4 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>4. <\/p>\n<p style=\"text-align: left\">Johanna baked a gingerbread locomotive. Just as she was about to start decorating it, an accident occurred: the gingerbread locomotive slipped off the baking tray and broke into six pieces. Five pieces are lying on the table:<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63781\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-4-2-614x331.png\" alt=\"\" width=\"614\" height=\"331\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-4-2.png 614w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-4-2-300x162.png 300w\" sizes=\"auto, (max-width: 614px) 100vw, 614px\" \/><\/p>\n<p style=\"text-align: left\">The sixth piece has fallen on the floor. What does this piece look like?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-74]' id='ays-answer-350-7' value='350'\/>\n\n                <label for='ays-answer-350-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>A<\/label><label for='ays-answer-350-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/7-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-74]' id='ays-answer-351-7' value='351'\/>\n\n                <label for='ays-answer-351-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>B<\/label><label for='ays-answer-351-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/6-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-74]' id='ays-answer-352-7' value='352'\/>\n\n                <label for='ays-answer-352-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>C<\/label><label for='ays-answer-352-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/8-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-74]' id='ays-answer-353-7' value='353'\/>\n\n                <label for='ays-answer-353-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>D<\/label><label for='ays-answer-353-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/9-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-74]' id='ays-answer-354-7' value='354'\/>\n\n                <label for='ays-answer-354-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>E<\/label><label for='ays-answer-354-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/10-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['74'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"64\" data-end=\"228\"><span style=\"color: #808080\"><em>If you look closely at the parts of the locomotive, you can quickly start putting some pieces together.<\/em><\/span><br data-start=\"167\" data-end=\"170\" \/><span style=\"color: #808080\"><em>For example, there is the <strong data-start=\"196\" data-end=\"207\">chimney<\/strong> and the <strong data-start=\"216\" data-end=\"225\">cabin<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"230\" data-end=\"381\"><span style=\"color: #808080\"><em>Next, you can add the two remaining pieces to get the <strong data-start=\"284\" data-end=\"299\">front wheel<\/strong> and part of the <strong data-start=\"316\" data-end=\"330\">back wheel<\/strong>.<\/em><\/span><br data-start=\"331\" data-end=\"334\" \/><span style=\"color: #808080\"><em>There is still a <strong data-start=\"351\" data-end=\"378\">gap at the bottom right<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"383\" data-end=\"513\"><span style=\"color: #808080\"><em>The <strong data-start=\"387\" data-end=\"421\">missing part of the back wheel<\/strong> and the <strong data-start=\"430\" data-end=\"456\">back wall of the cabin<\/strong> go there.<\/em><\/span><br data-start=\"466\" data-end=\"469\" \/><span style=\"color: #808080\"><em>The only piece that fits is <strong data-start=\"497\" data-end=\"510\">piece (D)<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"64\" data-end=\"228\"><span style=\"color: #808080\"><em>If you look closely at the parts of the locomotive, you can quickly start putting some pieces together.<\/em><\/span><br data-start=\"167\" data-end=\"170\" \/><span style=\"color: #808080\"><em>For example, there is the <strong data-start=\"196\" data-end=\"207\">chimney<\/strong> and the <strong data-start=\"216\" data-end=\"225\">cabin<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"230\" data-end=\"381\"><span style=\"color: #808080\"><em>Next, you can add the two remaining pieces to get the <strong data-start=\"284\" data-end=\"299\">front wheel<\/strong> and part of the <strong data-start=\"316\" data-end=\"330\">back wheel<\/strong>.<\/em><\/span><br data-start=\"331\" data-end=\"334\" \/><span style=\"color: #808080\"><em>There is still a <strong data-start=\"351\" data-end=\"378\">gap at the bottom right<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"383\" data-end=\"513\"><span style=\"color: #808080\"><em>The <strong data-start=\"387\" data-end=\"421\">missing part of the back wheel<\/strong> and the <strong data-start=\"430\" data-end=\"456\">back wall of the cabin<\/strong> go there.<\/em><\/span><br data-start=\"466\" data-end=\"469\" \/><span style=\"color: #808080\"><em>The only piece that fits is <strong data-start=\"497\" data-end=\"510\">piece (D)<\/strong>.<\/em><\/span><\/p>\n<p>&nbsp;<\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='75' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>5 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>5. <\/p>\n<p style=\"text-align: left\">Deep in the forest, four little gnomes live under the roots of a strong tree.<br \/>\nDuring winter, they sit in their cave and wait for spring. But today is a special day. They polish their little shoes until they shine because tomorrow is<br \/>\nSt. Nicholas\u2019 Day. The gnomes place their polished shoes \u2018neatly\u2019 in front of the door. But Saint Nicholas will be surprised, because gnomes have a very different sense of order than we humans do. When they line up their shoes, they do it like this:<br \/>\nFirst, the first gnome puts his pair of shoes down. The second gnome pushes his pair of shoes between the shoes of the first gnome. Each of the next gnomes<br \/>\npushes the row of shoes a little bit apart to create a gap. Then he places his shoes in this gap.<br \/>\nWhat could the row of shoes of the four gnomes look like?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-75]' id='ays-answer-355-7' value='355'\/>\n\n                <label for='ays-answer-355-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>A<\/label><label for='ays-answer-355-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/11-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-75]' id='ays-answer-356-7' value='356'\/>\n\n                <label for='ays-answer-356-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>B<\/label><label for='ays-answer-356-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/12-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-75]' id='ays-answer-357-7' value='357'\/>\n\n                <label for='ays-answer-357-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>C<\/label><label for='ays-answer-357-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/13-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-75]' id='ays-answer-358-7' value='358'\/>\n\n                <label for='ays-answer-358-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>D<\/label><label for='ays-answer-358-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/14-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-75]' id='ays-answer-359-7' value='359'\/>\n\n                <label for='ays-answer-359-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>E<\/label><label for='ays-answer-359-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/15-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['75'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"133\" data-end=\"341\"><em><span style=\"color: #808080\">This puzzle is easiest to solve if you imagine taking <strong data-start=\"187\" data-end=\"210\">four pairs of shoes<\/strong> and lining them up on the floor in a special way called the <strong data-start=\"271\" data-end=\"295\">\u201cEarth-Dwarf Order.\u201d<\/strong><\/span><\/em><br data-start=\"295\" data-end=\"298\" \/><em><span style=\"color: #808080\">Then you just watch carefully what happens.<\/span><\/em><\/p>\n<p data-start=\"343\" data-end=\"518\"><em><span style=\"color: #808080\">When you place the <strong data-start=\"362\" data-end=\"376\">first pair<\/strong> (Picture 1), there is only <strong data-start=\"404\" data-end=\"417\">one place<\/strong> for the second pair to go:<\/span><\/em><br data-start=\"444\" data-end=\"447\" \/><em><span style=\"color: #808080\">It must be put <strong data-start=\"462\" data-end=\"473\">between<\/strong> the two shoes of the first pair (Picture 2).<\/span><\/em><\/p>\n<p data-start=\"343\" data-end=\"518\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63792\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-5a-1-268x108.png\" alt=\"\" width=\"268\" height=\"108\" \/><\/p>\n<p data-start=\"520\" data-end=\"658\"><em><span style=\"color: #808080\">For the <strong data-start=\"528\" data-end=\"542\">third pair<\/strong>, you now have <strong data-start=\"557\" data-end=\"573\">three places<\/strong> where it can fit between the shoes that are already standing (Pictures 3, 4, and 5).<\/span><\/em><\/p>\n<p data-start=\"520\" data-end=\"658\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63793\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-5a-2-620x98.png\" alt=\"\" width=\"620\" height=\"98\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-5a-2.png 620w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-5a-2-300x47.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/p>\n<p data-start=\"660\" data-end=\"747\"><em><span style=\"color: #808080\">If we look closely, we can notice a few important things that help us solve the puzzle:<\/span><\/em><\/p>\n<ul data-start=\"749\" data-end=\"1104\">\n<li data-start=\"749\" data-end=\"847\">\n<p data-start=\"751\" data-end=\"847\"><em><span style=\"color: #808080\">The two shoes that were put down <strong data-start=\"784\" data-end=\"793\">first<\/strong> keep moving <strong data-start=\"806\" data-end=\"844\">farther and farther to the outside<\/strong>.<\/span><\/em><\/p>\n<\/li>\n<li data-start=\"848\" data-end=\"1104\">\n<p data-start=\"850\" data-end=\"1104\"><em><span style=\"color: #808080\">Because every new pair of shoes is always pushed <strong data-start=\"899\" data-end=\"923\">somewhere in between<\/strong>, the two shoes at the very ends of the line must belong to the <strong data-start=\"987\" data-end=\"1000\">same pair<\/strong> \u2014 the pair that was put down first.<\/span><\/em><br data-start=\"1036\" data-end=\"1039\" \/><em><span style=\"color: #808080\">This means that rows <strong data-start=\"1062\" data-end=\"1067\">A<\/strong>, <strong data-start=\"1069\" data-end=\"1074\">B<\/strong>, and <strong data-start=\"1080\" data-end=\"1085\">E<\/strong> cannot be correct.<\/span><\/em><\/p>\n<\/li>\n<\/ul>\n<p data-start=\"1106\" data-end=\"1364\"><em><span style=\"color: #808080\">We also notice something else:<\/span><\/em><br data-start=\"1136\" data-end=\"1139\" \/><em><span style=\"color: #808080\">If the <strong data-start=\"1146\" data-end=\"1159\">left shoe<\/strong> of one pair stands to the <strong data-start=\"1186\" data-end=\"1194\">left<\/strong> of the left shoe of another pair, then the <strong data-start=\"1238\" data-end=\"1252\">right shoe<\/strong> of that first pair must also stand to the <strong data-start=\"1295\" data-end=\"1304\">right<\/strong> of the other pair\u2019s right shoe. <\/span><\/em><em><span style=\"color: #808080\">(Just like in Picture 2.)<\/span><\/em><\/p>\n<p data-start=\"1366\" data-end=\"1550\"><em><span style=\"color: #808080\">Now if we look at row <strong data-start=\"1388\" data-end=\"1393\">D<\/strong> and imagine the white and light-gray shoes are not there, the two dark shoes appear <strong data-start=\"1478\" data-end=\"1487\">mixed<\/strong>, not as a pair together.<\/span><\/em><br data-start=\"1512\" data-end=\"1515\" \/><em><span style=\"color: #808080\">So <strong data-start=\"1518\" data-end=\"1523\">D<\/strong> can\u2019t be the right answer.<\/span><\/em><\/p>\n<p data-start=\"1552\" data-end=\"1702\"><em><span style=\"color: #808080\">That means the correct shoe row is <strong>C<\/strong>.<\/span><\/em><br data-start=\"1593\" data-end=\"1596\" \/><em><span style=\"color: #808080\">We can get row C by taking Picture 4 and sliding the gray pair <strong data-start=\"1659\" data-end=\"1701\">between the two shoes on the far right<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"1552\" data-end=\"1702\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63794\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-5a-3-207x144.png\" alt=\"\" width=\"207\" height=\"144\" \/><\/p>\n<p data-start=\"1704\" data-end=\"1821\"><em><span style=\"color: #808080\">But remember \u2014 this is just <strong data-start=\"1732\" data-end=\"1739\">one<\/strong> way to make the correct row.<\/span><\/em><br data-start=\"1768\" data-end=\"1771\" \/><em><span style=\"color: #808080\">There are other ways to create the same order too!<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"660\" data-end=\"747\"><em><span style=\"color: #808080\">If we look closely, we can notice a few important things that help us solve the puzzle:<\/span><\/em><\/p>\n<ul data-start=\"749\" data-end=\"1104\">\n<li data-start=\"749\" data-end=\"847\">\n<p data-start=\"751\" data-end=\"847\"><em><span style=\"color: #808080\">The two shoes that were put down <strong data-start=\"784\" data-end=\"793\">first<\/strong> keep moving <strong data-start=\"806\" data-end=\"844\">farther and farther to the outside<\/strong>.<\/span><\/em><\/p>\n<\/li>\n<li data-start=\"848\" data-end=\"1104\">\n<p data-start=\"850\" data-end=\"1104\"><em><span style=\"color: #808080\">Because every new pair of shoes is always pushed <strong data-start=\"899\" data-end=\"923\">somewhere in between<\/strong>, the two shoes at the very ends of the line must belong to the <strong data-start=\"987\" data-end=\"1000\">same pair<\/strong> \u2014 the pair that was put down first.<\/span><\/em><br data-start=\"1036\" data-end=\"1039\" \/><em><span style=\"color: #808080\">This means that rows <strong data-start=\"1062\" data-end=\"1067\">A<\/strong>, <strong data-start=\"1069\" data-end=\"1074\">B<\/strong>, and <strong data-start=\"1080\" data-end=\"1085\">E<\/strong> cannot be correct.<\/span><\/em><\/p>\n<\/li>\n<\/ul>\n<p data-start=\"1106\" data-end=\"1364\"><em><span style=\"color: #808080\">We also notice something else:<\/span><\/em><br data-start=\"1136\" data-end=\"1139\" \/><em><span style=\"color: #808080\">If the <strong data-start=\"1146\" data-end=\"1159\">left shoe<\/strong> of one pair stands to the <strong data-start=\"1186\" data-end=\"1194\">left<\/strong> of the left shoe of another pair, then the <strong data-start=\"1238\" data-end=\"1252\">right shoe<\/strong> of that first pair must also stand to the <strong data-start=\"1295\" data-end=\"1304\">right<\/strong> of the other pair\u2019s right shoe. <\/span><\/em><em><span style=\"color: #808080\">(Just like in Picture 2.)<\/span><\/em><\/p>\n<p data-start=\"1366\" data-end=\"1550\"><em><span style=\"color: #808080\">Now if we look at row <strong data-start=\"1388\" data-end=\"1393\">D<\/strong> and imagine the white and light-gray shoes are not there, the two dark shoes appear <strong data-start=\"1478\" data-end=\"1487\">mixed<\/strong>, not as a pair together.<\/span><\/em><br data-start=\"1512\" data-end=\"1515\" \/><em><span style=\"color: #808080\">So <strong data-start=\"1518\" data-end=\"1523\">D<\/strong> can\u2019t be the right answer.<\/span><\/em><\/p>\n<p data-start=\"1552\" data-end=\"1702\"><em><span style=\"color: #808080\">That means the correct shoe row is <strong>C<\/strong>.<\/span><\/em><br data-start=\"1593\" data-end=\"1596\" \/><em><span style=\"color: #808080\">We can get row C by taking Picture 4 and sliding the gray pair <strong data-start=\"1659\" data-end=\"1701\">between the two shoes on the far right<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"1552\" data-end=\"1702\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63794\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-5a-3-207x144.png\" alt=\"\" width=\"207\" height=\"144\" \/><\/p>\n<p data-start=\"1704\" data-end=\"1821\"><em><span style=\"color: #808080\">But remember \u2014 this is just <strong data-start=\"1732\" data-end=\"1739\">one<\/strong> way to make the correct row.<\/span><\/em><br data-start=\"1768\" data-end=\"1771\" \/><em><span style=\"color: #808080\">There are other ways to create the same order too!<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='76' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>6 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>6. <\/p>\n<p style=\"text-align: left\">Julian and Aslan made themselves comfortable on St. Nicholas\u2019 Day. They read fairy tales and snacked on chocolate rings that they found in their shoes.<br \/>\nAslan finds it hard to resist chocolate rings. When he finished the last one, Julian said, \u201cDid you know that you ate 4 times as many rings as I did? I counted them all!\u201d<br \/>\nOf course, Aslan didn\u2019t count them. Now he wants to find out how many he ate. At the beginning, there were 30 rings in the shoes.<br \/>\nHow many of them did Aslan eat?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-76]' id='ays-answer-360-7' value='360'\/>\n\n                <label for='ays-answer-360-7' class='  ays_position_initial  ays-quiz-keyboard-label'>15<\/label><label for='ays-answer-360-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-76]' id='ays-answer-361-7' value='361'\/>\n\n                <label for='ays-answer-361-7' class='  ays_position_initial  ays-quiz-keyboard-label'>20<\/label><label for='ays-answer-361-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-76]' id='ays-answer-362-7' value='362'\/>\n\n                <label for='ays-answer-362-7' class='  ays_position_initial  ays-quiz-keyboard-label'>24<\/label><label for='ays-answer-362-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-76]' id='ays-answer-363-7' value='363'\/>\n\n                <label for='ays-answer-363-7' class='  ays_position_initial  ays-quiz-keyboard-label'>27<\/label><label for='ays-answer-363-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-76]' id='ays-answer-364-7' value='364'\/>\n\n                <label for='ays-answer-364-7' class='  ays_position_initial  ays-quiz-keyboard-label'>28<\/label><label for='ays-answer-364-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['76'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"431\" data-end=\"581\"><span style=\"color: #808080\"><em>Aslan ate <strong data-start=\"441\" data-end=\"460\">4 times as many<\/strong> donuts as Julian.<\/em><\/span><br data-start=\"478\" data-end=\"481\" \/><span style=\"color: #808080\"><em>Together they ate <strong data-start=\"499\" data-end=\"518\">5 times as many<\/strong> donuts as Julian alone.<\/em><\/span><br data-start=\"542\" data-end=\"545\" \/><span style=\"color: #808080\"><em>Altogether there were <strong data-start=\"567\" data-end=\"580\">30 donuts<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"583\" data-end=\"627\"><span style=\"color: #808080\"><em>Since 30 is <strong data-start=\"595\" data-end=\"618\">5 \u201cJulian portions\u201d<\/strong>, we get:<\/em><\/span><\/p>\n<ul data-start=\"629\" data-end=\"701\">\n<li data-start=\"629\" data-end=\"666\">\n<p data-start=\"631\" data-end=\"666\"><span style=\"color: #808080\"><em>Julian ate: <strong data-start=\"643\" data-end=\"664\">30 \u00f7 5 = 6 donuts<\/strong><\/em><\/span><\/p>\n<\/li>\n<li data-start=\"667\" data-end=\"701\">\n<p data-start=\"669\" data-end=\"701\"><span style=\"color: #808080\"><em>Aslan ate: <strong data-start=\"680\" data-end=\"701\">4 \u00d7 6 = 24 donuts<\/strong><\/em><\/span><\/p>\n<\/li>\n<\/ul>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"431\" data-end=\"581\"><span style=\"color: #808080\"><em>Aslan ate <strong data-start=\"441\" data-end=\"460\">4 times as many<\/strong> donuts as Julian.<\/em><\/span><br data-start=\"478\" data-end=\"481\" \/><span style=\"color: #808080\"><em>Together they ate <strong data-start=\"499\" data-end=\"518\">5 times as many<\/strong> donuts as Julian alone.<\/em><\/span><br data-start=\"542\" data-end=\"545\" \/><span style=\"color: #808080\"><em>Altogether there were <strong data-start=\"567\" data-end=\"580\">30 donuts<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"583\" data-end=\"627\"><span style=\"color: #808080\"><em>Since 30 is <strong data-start=\"595\" data-end=\"618\">5 \u201cJulian portions\u201d<\/strong>, we get:<\/em><\/span><\/p>\n<ul data-start=\"629\" data-end=\"701\">\n<li data-start=\"629\" data-end=\"666\">\n<p data-start=\"631\" data-end=\"666\"><span style=\"color: #808080\"><em>Julian ate: <strong data-start=\"643\" data-end=\"664\">30 \u00f7 5 = 6 donuts<\/strong><\/em><\/span><\/p>\n<\/li>\n<li data-start=\"667\" data-end=\"701\">\n<p data-start=\"669\" data-end=\"701\"><span style=\"color: #808080\"><em>Aslan ate: <strong data-start=\"680\" data-end=\"701\">4 \u00d7 6 = 24 donuts<\/strong><\/em><\/span><\/p>\n<\/li>\n<\/ul>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='77' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>7 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>7. <\/p>\n<p style=\"text-align: left\">Nico and Melina are snacking on cinnamon stars. \u201cDid you know that cinnamon stars only have a few ingredients?\u201d asks Melina. \u201cWhich ones?\u201d Nico wants<br \/>\nto know. \u201cWait,\u201d says Melina, \u201cI\u2019ll make a riddle for you.\u201d<br \/>\nA short time later, she gives Nico a piece of paper with a star on it.<br \/>\n\u201cAll the ingredients are written in the star, one after the other,\u201d explains Melina, \u201cbut they\u2019re encrypted. You have to replace each letter with the letter<br \/>\nthat stands two places further in the alphabet. For example, you have to replace a \u2018C\u2019 with an \u2018E\u2019. And a \u2018Y\u2019 with an \u2018A\u2019, because after Z it starts again with A.<br \/>\nThen you can read what the ingredients are.\u201d<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63795\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-7-420x372.png\" alt=\"\" width=\"420\" height=\"372\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-7.png 420w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-7-300x266.png 300w\" sizes=\"auto, (max-width: 420px) 100vw, 420px\" \/><\/p>\n<p style=\"text-align: left\">What is not an ingredient of cinnamon stars?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-77]' id='ays-answer-365-7' value='365'\/>\n\n                <label for='ays-answer-365-7' class='  ays_position_initial  ays-quiz-keyboard-label'>flour<\/label><label for='ays-answer-365-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-77]' id='ays-answer-366-7' value='366'\/>\n\n                <label for='ays-answer-366-7' class='  ays_position_initial  ays-quiz-keyboard-label'>cinnamon<\/label><label for='ays-answer-366-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-77]' id='ays-answer-367-7' value='367'\/>\n\n                <label for='ays-answer-367-7' class='  ays_position_initial  ays-quiz-keyboard-label'>ground almonds<\/label><label for='ays-answer-367-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-77]' id='ays-answer-368-7' value='368'\/>\n\n                <label for='ays-answer-368-7' class='  ays_position_initial  ays-quiz-keyboard-label'>egg white<\/label><label for='ays-answer-368-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-77]' id='ays-answer-369-7' value='369'\/>\n\n                <label for='ays-answer-369-7' class='  ays_position_initial  ays-quiz-keyboard-label'>icing sugar<\/label><label for='ays-answer-369-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['77'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"1119\" data-end=\"1227\"><span style=\"color: #808080\"><em>To decode the ingredients, we need to <strong data-start=\"1157\" data-end=\"1212\">move every letter two steps forward in the alphabet<\/strong>.<\/em><\/span><br data-start=\"1213\" data-end=\"1216\" \/><span style=\"color: #808080\"><em>That means:<\/em><\/span><\/p>\n<ul data-start=\"1229\" data-end=\"1314\">\n<li data-start=\"1229\" data-end=\"1252\">\n<p data-start=\"1231\" data-end=\"1252\"><span style=\"color: #808080\"><em><strong data-start=\"1231\" data-end=\"1236\">A<\/strong> becomes <strong data-start=\"1245\" data-end=\"1250\">C<\/strong><\/em><\/span><\/p>\n<\/li>\n<li data-start=\"1253\" data-end=\"1276\">\n<p data-start=\"1255\" data-end=\"1276\"><span style=\"color: #808080\"><em><strong data-start=\"1255\" data-end=\"1260\">M<\/strong> becomes <strong data-start=\"1269\" data-end=\"1274\">O<\/strong><\/em><\/span><\/p>\n<\/li>\n<li data-start=\"1277\" data-end=\"1300\">\n<p data-start=\"1279\" data-end=\"1300\"><span style=\"color: #808080\"><em><strong data-start=\"1279\" data-end=\"1284\">Z<\/strong> becomes <strong data-start=\"1293\" data-end=\"1298\">B<\/strong><\/em><\/span><\/p>\n<\/li>\n<li data-start=\"1301\" data-end=\"1314\">\n<p data-start=\"1303\" data-end=\"1314\"><span style=\"color: #808080\"><em>\u2026and so on.<\/em><\/span><\/p>\n<\/li>\n<\/ul>\n<p data-start=\"1316\" data-end=\"1348\"><span style=\"color: #808080\"><em>Here is how the alphabet shifts:<\/em><\/span><\/p>\n<p data-start=\"1350\" data-end=\"1457\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63796\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-7a-1-530x123.png\" alt=\"\" width=\"530\" height=\"123\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-7a-1.png 530w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-7a-1-300x70.png 300w\" sizes=\"auto, (max-width: 530px) 100vw, 530px\" \/><\/p>\n<p data-start=\"1459\" data-end=\"1583\"><span style=\"color: #808080\"><em>Now we decode Melina\u2019s letters by shifting each one two places forward.<\/em><\/span><br data-start=\"1530\" data-end=\"1533\" \/><span style=\"color: #808080\"><em>For example: <strong data-start=\"1546\" data-end=\"1555\">N \u2192 P<\/strong>, <strong data-start=\"1557\" data-end=\"1566\">S \u2192 U<\/strong>, <strong data-start=\"1568\" data-end=\"1577\">B \u2192 D<\/strong>, etc.<\/em><\/span><\/p>\n<p data-start=\"1585\" data-end=\"1644\"><span style=\"color: #808080\"><em>The long string of letters turns into the ingredient names:<\/em><\/span><\/p>\n<p data-start=\"1585\" data-end=\"1644\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63797\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-7a-2-641x270.png\" alt=\"\" width=\"641\" height=\"270\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-7a-2.png 641w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-7a-2-300x126.png 300w\" sizes=\"auto, (max-width: 641px) 100vw, 641px\" \/><\/p>\n<p data-start=\"1646\" data-end=\"1718\"><span style=\"color: #808080\"><em><strong data-start=\"1646\" data-end=\"1658\">cinnamon<\/strong>, <strong data-start=\"1660\" data-end=\"1678\">powdered sugar<\/strong>, <strong data-start=\"1680\" data-end=\"1693\">egg white<\/strong>, and <strong data-start=\"1699\" data-end=\"1717\">ground almonds<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"1720\" data-end=\"1831\"><span style=\"color: #808080\"><em>When you look at the circle of letters starting at <strong data-start=\"1771\" data-end=\"1776\">Z<\/strong> and going clockwise, you can read all the ingredients:<\/em><\/span><\/p>\n<ul data-start=\"1833\" data-end=\"1961\">\n<li data-start=\"1833\" data-end=\"1856\">\n<p data-start=\"1835\" data-end=\"1856\"><span style=\"color: #808080\"><em><strong data-start=\"1835\" data-end=\"1843\">Zimt<\/strong> (cinnamon)<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"1857\" data-end=\"1893\">\n<p data-start=\"1859\" data-end=\"1893\"><span style=\"color: #808080\"><em><strong data-start=\"1859\" data-end=\"1874\">Puderzucker<\/strong> (powdered sugar)<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"1894\" data-end=\"1920\">\n<p data-start=\"1896\" data-end=\"1920\"><span style=\"color: #808080\"><em><strong data-start=\"1896\" data-end=\"1906\">Eiwei\u00df<\/strong> (egg white)<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"1921\" data-end=\"1961\">\n<p data-start=\"1923\" data-end=\"1961\"><span style=\"color: #808080\"><em><strong data-start=\"1923\" data-end=\"1944\">gemahlene Mandeln<\/strong> (ground almonds)<\/em><\/span><\/p>\n<\/li>\n<\/ul>\n<p data-start=\"1963\" data-end=\"2020\"><span style=\"color: #808080\"><em>The ingredient <strong data-start=\"1978\" data-end=\"1996\">\u201cMehl\u201d (flour)<\/strong> is <strong data-start=\"2000\" data-end=\"2007\">not<\/strong> in the code.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"1119\" data-end=\"1227\"><span style=\"color: #808080\"><em>To decode the ingredients, we need to <strong data-start=\"1157\" data-end=\"1212\">move every letter two steps forward in the alphabet<\/strong>.<\/em><\/span><br data-start=\"1213\" data-end=\"1216\" \/><span style=\"color: #808080\"><em>That means:<\/em><\/span><\/p>\n<ul data-start=\"1229\" data-end=\"1314\">\n<li data-start=\"1229\" data-end=\"1252\">\n<p data-start=\"1231\" data-end=\"1252\"><span style=\"color: #808080\"><em><strong data-start=\"1231\" data-end=\"1236\">A<\/strong> becomes <strong data-start=\"1245\" data-end=\"1250\">C<\/strong><\/em><\/span><\/p>\n<\/li>\n<li data-start=\"1253\" data-end=\"1276\">\n<p data-start=\"1255\" data-end=\"1276\"><span style=\"color: #808080\"><em><strong data-start=\"1255\" data-end=\"1260\">M<\/strong> becomes <strong data-start=\"1269\" data-end=\"1274\">O<\/strong><\/em><\/span><\/p>\n<\/li>\n<li data-start=\"1277\" data-end=\"1300\">\n<p data-start=\"1279\" data-end=\"1300\"><span style=\"color: #808080\"><em><strong data-start=\"1279\" data-end=\"1284\">Z<\/strong> becomes <strong data-start=\"1293\" data-end=\"1298\">B<\/strong><\/em><\/span><\/p>\n<\/li>\n<li data-start=\"1301\" data-end=\"1314\">\n<p data-start=\"1303\" data-end=\"1314\"><span style=\"color: #808080\"><em>\u2026and so on.<\/em><\/span><\/p>\n<\/li>\n<\/ul>\n<p data-start=\"1316\" data-end=\"1348\"><span style=\"color: #808080\"><em>Here is how the alphabet shifts:<\/em><\/span><\/p>\n<p data-start=\"1350\" data-end=\"1457\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63796\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-7a-1-530x123.png\" alt=\"\" width=\"530\" height=\"123\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-7a-1.png 530w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-7a-1-300x70.png 300w\" sizes=\"auto, (max-width: 530px) 100vw, 530px\" \/><\/p>\n<p data-start=\"1459\" data-end=\"1583\"><span style=\"color: #808080\"><em>Now we decode Melina\u2019s letters by shifting each one two places forward.<\/em><\/span><br data-start=\"1530\" data-end=\"1533\" \/><span style=\"color: #808080\"><em>For example: <strong data-start=\"1546\" data-end=\"1555\">N \u2192 P<\/strong>, <strong data-start=\"1557\" data-end=\"1566\">S \u2192 U<\/strong>, <strong data-start=\"1568\" data-end=\"1577\">B \u2192 D<\/strong>, etc.<\/em><\/span><\/p>\n<p data-start=\"1585\" data-end=\"1644\"><span style=\"color: #808080\"><em>The long string of letters turns into the ingredient names:<\/em><\/span><\/p>\n<p data-start=\"1585\" data-end=\"1644\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63797\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-7a-2-641x270.png\" alt=\"\" width=\"641\" height=\"270\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-7a-2.png 641w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-7a-2-300x126.png 300w\" sizes=\"auto, (max-width: 641px) 100vw, 641px\" \/><\/p>\n<p data-start=\"1646\" data-end=\"1718\"><span style=\"color: #808080\"><em><strong data-start=\"1646\" data-end=\"1658\">cinnamon<\/strong>, <strong data-start=\"1660\" data-end=\"1678\">powdered sugar<\/strong>, <strong data-start=\"1680\" data-end=\"1693\">egg white<\/strong>, and <strong data-start=\"1699\" data-end=\"1717\">ground almonds<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"1720\" data-end=\"1831\"><span style=\"color: #808080\"><em>When you look at the circle of letters starting at <strong data-start=\"1771\" data-end=\"1776\">Z<\/strong> and going clockwise, you can read all the ingredients:<\/em><\/span><\/p>\n<ul data-start=\"1833\" data-end=\"1961\">\n<li data-start=\"1833\" data-end=\"1856\">\n<p data-start=\"1835\" data-end=\"1856\"><span style=\"color: #808080\"><em><strong data-start=\"1835\" data-end=\"1843\">Zimt<\/strong> (cinnamon)<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"1857\" data-end=\"1893\">\n<p data-start=\"1859\" data-end=\"1893\"><span style=\"color: #808080\"><em><strong data-start=\"1859\" data-end=\"1874\">Puderzucker<\/strong> (powdered sugar)<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"1894\" data-end=\"1920\">\n<p data-start=\"1896\" data-end=\"1920\"><span style=\"color: #808080\"><em><strong data-start=\"1896\" data-end=\"1906\">Eiwei\u00df<\/strong> (egg white)<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"1921\" data-end=\"1961\">\n<p data-start=\"1923\" data-end=\"1961\"><span style=\"color: #808080\"><em><strong data-start=\"1923\" data-end=\"1944\">gemahlene Mandeln<\/strong> (ground almonds)<\/em><\/span><\/p>\n<\/li>\n<\/ul>\n<p data-start=\"1963\" data-end=\"2020\"><span style=\"color: #808080\"><em>The ingredient <strong data-start=\"1978\" data-end=\"1996\">\u201cMehl\u201d (flour)<\/strong> is <strong data-start=\"2000\" data-end=\"2007\">not<\/strong> in the code.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='78' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>8 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>8. <\/p>\n<p style=\"text-align: left\">Every year at the Christmas market, Mr Schlemmer sells the most delicious roasted almonds I know. He uses an old set of scales to weigh the almonds.<br \/>\nUnfortunately, he no longer has all of his balancing weights. Next to the scales, he only has these left:<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63798\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-8-543x215.png\" alt=\"\" width=\"543\" height=\"215\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-8.png 543w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-8-300x119.png 300w\" sizes=\"auto, (max-width: 543px) 100vw, 543px\" \/><\/p>\n<p style=\"text-align: left\">I want to buy a small bag of 125 g of almonds. Since the 125 g weight is no longer available, Mr Schlemmer uses two other weights to weigh it. He places one on one side of the scales and the other on the other side. Which two weights did he use to balance the scales with the small bag of almonds?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-78]' id='ays-answer-370-7' value='370'\/>\n\n                <label for='ays-answer-370-7' class='  ays_position_initial  ays-quiz-keyboard-label'>10g and 75g<\/label><label for='ays-answer-370-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-78]' id='ays-answer-371-7' value='371'\/>\n\n                <label for='ays-answer-371-7' class='  ays_position_initial  ays-quiz-keyboard-label'>75g and 175g<\/label><label for='ays-answer-371-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-78]' id='ays-answer-372-7' value='372'\/>\n\n                <label for='ays-answer-372-7' class='  ays_position_initial  ays-quiz-keyboard-label'>20g and 175g<\/label><label for='ays-answer-372-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-78]' id='ays-answer-373-7' value='373'\/>\n\n                <label for='ays-answer-373-7' class='  ays_position_initial  ays-quiz-keyboard-label'>75g and 200g<\/label><label for='ays-answer-373-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-78]' id='ays-answer-374-7' value='374'\/>\n\n                <label for='ays-answer-374-7' class='  ays_position_initial  ays-quiz-keyboard-label'>175g and 500g<\/label><label for='ays-answer-374-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['78'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"115\" data-end=\"296\"><span style=\"color: #808080\"><em>On one side of the scale, there is a <strong data-start=\"152\" data-end=\"187\">125-gram bag of roasted almonds<\/strong> and <strong data-start=\"192\" data-end=\"222\">one of the mystery weights<\/strong>.<\/em><\/span><br data-start=\"223\" data-end=\"226\" \/><span style=\"color: #808080\"><em>On the other side of the scale, there is <strong data-start=\"267\" data-end=\"295\">the other mystery weight<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"298\" data-end=\"379\"><span style=\"color: #808080\"><em>For the scale to be <strong data-start=\"318\" data-end=\"330\">balanced<\/strong>, both sides must have the <strong data-start=\"357\" data-end=\"378\">same total weight<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"381\" data-end=\"452\"><span style=\"color: #808080\"><em>This means the <strong data-start=\"396\" data-end=\"451\">two mystery weights must be exactly 125 grams apart<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"454\" data-end=\"553\"><span style=\"color: #808080\"><em>Now we just check which two weights have a difference of 125 g<\/em><\/span><br data-start=\"518\" data-end=\"521\" \/><span style=\"color: #808080\"><em>and the only pair that works is:<\/em><\/span><\/p>\n<ul data-start=\"555\" data-end=\"599\">\n<li data-start=\"555\" data-end=\"577\">\n<p data-start=\"557\" data-end=\"577\"><span style=\"color: #808080\"><em><strong data-start=\"557\" data-end=\"575\">75-gram weight<\/strong><\/em><\/span><\/p>\n<\/li>\n<li data-start=\"578\" data-end=\"599\">\n<p data-start=\"580\" data-end=\"599\"><span style=\"color: #808080\"><em><strong data-start=\"580\" data-end=\"599\">200-gram weight<\/strong><\/em><\/span><\/p>\n<\/li>\n<\/ul>\n<p data-start=\"601\" data-end=\"609\"><span style=\"color: #808080\"><em>Because:<\/em><\/span><\/p>\n<p data-start=\"611\" data-end=\"635\"><span style=\"color: #808080\"><em>200 g \u2212 75 g = <strong data-start=\"626\" data-end=\"635\">125 g<\/strong><\/em><\/span><\/p>\n<p data-start=\"637\" data-end=\"685\"><span style=\"color: #808080\"><em>So these are the two weights we are looking for!<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"115\" data-end=\"296\"><span style=\"color: #808080\"><em>On one side of the scale, there is a <strong data-start=\"152\" data-end=\"187\">125-gram bag of roasted almonds<\/strong> and <strong data-start=\"192\" data-end=\"222\">one of the mystery weights<\/strong>.<\/em><\/span><br data-start=\"223\" data-end=\"226\" \/><span style=\"color: #808080\"><em>On the other side of the scale, there is <strong data-start=\"267\" data-end=\"295\">the other mystery weight<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"298\" data-end=\"379\"><span style=\"color: #808080\"><em>For the scale to be <strong data-start=\"318\" data-end=\"330\">balanced<\/strong>, both sides must have the <strong data-start=\"357\" data-end=\"378\">same total weight<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"381\" data-end=\"452\"><span style=\"color: #808080\"><em>This means the <strong data-start=\"396\" data-end=\"451\">two mystery weights must be exactly 125 grams apart<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"454\" data-end=\"553\"><span style=\"color: #808080\"><em>Now we just check which two weights have a difference of 125 g<\/em><\/span><br data-start=\"518\" data-end=\"521\" \/><span style=\"color: #808080\"><em>and the only pair that works is:<\/em><\/span><\/p>\n<ul data-start=\"555\" data-end=\"599\">\n<li data-start=\"555\" data-end=\"577\">\n<p data-start=\"557\" data-end=\"577\"><span style=\"color: #808080\"><em><strong data-start=\"557\" data-end=\"575\">75-gram weight<\/strong><\/em><\/span><\/p>\n<\/li>\n<li data-start=\"578\" data-end=\"599\">\n<p data-start=\"580\" data-end=\"599\"><span style=\"color: #808080\"><em><strong data-start=\"580\" data-end=\"599\">200-gram weight<\/strong><\/em><\/span><\/p>\n<\/li>\n<\/ul>\n<p data-start=\"601\" data-end=\"609\"><span style=\"color: #808080\"><em>Because:<\/em><\/span><\/p>\n<p data-start=\"611\" data-end=\"635\"><span style=\"color: #808080\"><em>200 g \u2212 75 g = <strong data-start=\"626\" data-end=\"635\">125 g<\/strong><\/em><\/span><\/p>\n<p data-start=\"637\" data-end=\"685\"><span style=\"color: #808080\"><em>So these are the two weights we are looking for!<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='79' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>9 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>9. <\/p>\n<p style=\"text-align: left\">Maja buys a large piece of marzipan for 4 euros and 79 cents. She pays with a 5-euro note and receives 5 coins as change.<br \/>\nThere are two possible sets of 5 coins that Maja could have received.<br \/>\nWhich coin is definitely among them?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-79]' id='ays-answer-375-7' value='375'\/>\n\n                <label for='ays-answer-375-7' class='  ays_position_initial  ays-quiz-keyboard-label'>a 1-cent coin<\/label><label for='ays-answer-375-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-79]' id='ays-answer-376-7' value='376'\/>\n\n                <label for='ays-answer-376-7' class='  ays_position_initial  ays-quiz-keyboard-label'>a 2-cent coin<\/label><label for='ays-answer-376-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-79]' id='ays-answer-377-7' value='377'\/>\n\n                <label for='ays-answer-377-7' class='  ays_position_initial  ays-quiz-keyboard-label'>a 5-cent coin<\/label><label for='ays-answer-377-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-79]' id='ays-answer-378-7' value='378'\/>\n\n                <label for='ays-answer-378-7' class='  ays_position_initial  ays-quiz-keyboard-label'>a 10-cent coin<\/label><label for='ays-answer-378-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-79]' id='ays-answer-379-7' value='379'\/>\n\n                <label for='ays-answer-379-7' class='  ays_position_initial  ays-quiz-keyboard-label'>a 20-cent coin<\/label><label for='ays-answer-379-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['79'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"116\" data-end=\"283\"><span style=\"color: #808080\"><em>Maja bought marzipan for <strong data-start=\"141\" data-end=\"165\">4 euros and 79 cents<\/strong>.<\/em><\/span><br data-start=\"166\" data-end=\"169\" \/><span style=\"color: #808080\"><em>She paid with a <strong data-start=\"185\" data-end=\"200\">5-euro bill<\/strong>, so she got <strong data-start=\"213\" data-end=\"225\">21 cents<\/strong> back.<\/em><\/span><br data-start=\"231\" data-end=\"234\" \/><span style=\"color: #808080\"><em>The shop gave her the 21 cents using <strong data-start=\"271\" data-end=\"282\">5 coins<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"285\" data-end=\"346\"><span style=\"color: #808080\"><em>There are <strong data-start=\"295\" data-end=\"307\">two ways<\/strong> to make 21 cents with exactly 5 coins:<\/em><\/span><\/p>\n<ol data-start=\"348\" data-end=\"539\">\n<li data-start=\"348\" data-end=\"430\">\n<p data-start=\"351\" data-end=\"398\"><span style=\"color: #808080\"><em><strong data-start=\"351\" data-end=\"370\">One 1-cent coin<\/strong> and <strong data-start=\"375\" data-end=\"396\">four 5-cent coins<\/strong><\/em><\/span><\/p>\n<ul data-start=\"402\" data-end=\"430\">\n<li data-start=\"402\" data-end=\"430\">\n<p data-start=\"404\" data-end=\"430\"><span style=\"color: #808080\"><em>1 + 5 + 5 + 5 + 5 = <strong data-start=\"424\" data-end=\"430\">21<\/strong><\/em><\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li data-start=\"432\" data-end=\"539\">\n<p data-start=\"435\" data-end=\"506\"><span style=\"color: #808080\"><em><strong data-start=\"435\" data-end=\"455\">One 10-cent coin<\/strong>, <strong data-start=\"457\" data-end=\"476\">one 5-cent coin<\/strong>, and <strong data-start=\"482\" data-end=\"504\">three 2-cent coins<\/strong><\/em><\/span><\/p>\n<ul data-start=\"510\" data-end=\"539\">\n<li data-start=\"510\" data-end=\"539\">\n<p data-start=\"512\" data-end=\"539\"><span style=\"color: #808080\"><em>10 + 5 + 2 + 2 + 2 = <strong data-start=\"533\" data-end=\"539\">21<\/strong><\/em><\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<p data-start=\"541\" data-end=\"600\"><span style=\"color: #808080\"><em>Now we look at which coin appears in <strong data-start=\"578\" data-end=\"586\">both<\/strong> combinations.<\/em><\/span><\/p>\n<p data-start=\"602\" data-end=\"654\"><span style=\"color: #808080\"><em>The only coin they both have is the <strong data-start=\"638\" data-end=\"653\">5-cent coin<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"656\" data-end=\"726\"><span style=\"color: #808080\"><em>So Maja must have received at least one <strong data-start=\"696\" data-end=\"711\">5-cent coin<\/strong> in her change.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"116\" data-end=\"283\"><span style=\"color: #808080\"><em>Maja bought marzipan for <strong data-start=\"141\" data-end=\"165\">4 euros and 79 cents<\/strong>.<\/em><\/span><br data-start=\"166\" data-end=\"169\" \/><span style=\"color: #808080\"><em>She paid with a <strong data-start=\"185\" data-end=\"200\">5-euro bill<\/strong>, so she got <strong data-start=\"213\" data-end=\"225\">21 cents<\/strong> back.<\/em><\/span><br data-start=\"231\" data-end=\"234\" \/><span style=\"color: #808080\"><em>The shop gave her the 21 cents using <strong data-start=\"271\" data-end=\"282\">5 coins<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"285\" data-end=\"346\"><span style=\"color: #808080\"><em>There are <strong data-start=\"295\" data-end=\"307\">two ways<\/strong> to make 21 cents with exactly 5 coins:<\/em><\/span><\/p>\n<ol data-start=\"348\" data-end=\"539\">\n<li data-start=\"348\" data-end=\"430\">\n<p data-start=\"351\" data-end=\"398\"><span style=\"color: #808080\"><em><strong data-start=\"351\" data-end=\"370\">One 1-cent coin<\/strong> and <strong data-start=\"375\" data-end=\"396\">four 5-cent coins<\/strong><\/em><\/span><\/p>\n<ul data-start=\"402\" data-end=\"430\">\n<li data-start=\"402\" data-end=\"430\">\n<p data-start=\"404\" data-end=\"430\"><span style=\"color: #808080\"><em>1 + 5 + 5 + 5 + 5 = <strong data-start=\"424\" data-end=\"430\">21<\/strong><\/em><\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li data-start=\"432\" data-end=\"539\">\n<p data-start=\"435\" data-end=\"506\"><span style=\"color: #808080\"><em><strong data-start=\"435\" data-end=\"455\">One 10-cent coin<\/strong>, <strong data-start=\"457\" data-end=\"476\">one 5-cent coin<\/strong>, and <strong data-start=\"482\" data-end=\"504\">three 2-cent coins<\/strong><\/em><\/span><\/p>\n<ul data-start=\"510\" data-end=\"539\">\n<li data-start=\"510\" data-end=\"539\">\n<p data-start=\"512\" data-end=\"539\"><span style=\"color: #808080\"><em>10 + 5 + 2 + 2 + 2 = <strong data-start=\"533\" data-end=\"539\">21<\/strong><\/em><\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<p data-start=\"541\" data-end=\"600\"><span style=\"color: #808080\"><em>Now we look at which coin appears in <strong data-start=\"578\" data-end=\"586\">both<\/strong> combinations.<\/em><\/span><\/p>\n<p data-start=\"602\" data-end=\"654\"><span style=\"color: #808080\"><em>The only coin they both have is the <strong data-start=\"638\" data-end=\"653\">5-cent coin<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"656\" data-end=\"726\"><span style=\"color: #808080\"><em>So Maja must have received at least one <strong data-start=\"696\" data-end=\"711\">5-cent coin<\/strong> in her change.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='80' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>10 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>10. <\/p>\n<p style=\"text-align: left\">Today, Maja shaped marzipan potatoes. They smell of almonds and rose water.<br \/>\nAfter rolling the marzipan potatoes in cocoa, they look simply wonderful.<br \/>\nMaja wants to impress her family and neatly arranges them in a pyramid.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63799\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-10-319x303.png\" alt=\"\" width=\"319\" height=\"303\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-10.png 319w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-10-300x285.png 300w\" sizes=\"auto, (max-width: 319px) 100vw, 319px\" \/><\/p>\n<p style=\"text-align: left\">For the bottom layer, Maja arranged the marzipan potatoes close together in a triangle. Then she placed the second and third layers on top and finally added one marzipan potato as a tip.<br \/>\nHow many marzipan potatoes are there in Maja\u2019s pyramid?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-80]' id='ays-answer-380-7' value='380'\/>\n\n                <label for='ays-answer-380-7' class='  ays_position_initial  ays-quiz-keyboard-label'>14<\/label><label for='ays-answer-380-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-80]' id='ays-answer-381-7' value='381'\/>\n\n                <label for='ays-answer-381-7' class='  ays_position_initial  ays-quiz-keyboard-label'>16<\/label><label for='ays-answer-381-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-80]' id='ays-answer-382-7' value='382'\/>\n\n                <label for='ays-answer-382-7' class='  ays_position_initial  ays-quiz-keyboard-label'>18<\/label><label for='ays-answer-382-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-80]' id='ays-answer-383-7' value='383'\/>\n\n                <label for='ays-answer-383-7' class='  ays_position_initial  ays-quiz-keyboard-label'>20<\/label><label for='ays-answer-383-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-80]' id='ays-answer-384-7' value='384'\/>\n\n                <label for='ays-answer-384-7' class='  ays_position_initial  ays-quiz-keyboard-label'>22<\/label><label for='ays-answer-384-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['80'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"115\" data-end=\"219\"><span style=\"color: #808080\"><em>We draw the different layers of the marzipan potato pyramid and count how many pieces are in each layer:<\/em><\/span><\/p>\n<ul data-start=\"221\" data-end=\"497\">\n<li data-start=\"221\" data-end=\"304\">\n<p data-start=\"223\" data-end=\"304\"><span style=\"color: #808080\"><em>In the <strong data-start=\"230\" data-end=\"246\">bottom layer<\/strong>, there are:<\/em><\/span><br data-start=\"258\" data-end=\"261\" \/><span style=\"color: #808080\"><em><strong data-start=\"263\" data-end=\"285\">1 + 2 + 3 + 4 = 10<\/strong> marzipan potatoes.<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"306\" data-end=\"375\">\n<p data-start=\"308\" data-end=\"375\"><span style=\"color: #808080\"><em>In the <strong data-start=\"315\" data-end=\"331\">second layer<\/strong>, there are:<\/em><\/span><br data-start=\"343\" data-end=\"346\" \/><span style=\"color: #808080\"><em><strong data-start=\"348\" data-end=\"365\">1 + 2 + 3 = 6<\/strong> potatoes.<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"377\" data-end=\"441\">\n<p data-start=\"379\" data-end=\"441\"><span style=\"color: #808080\"><em>In the <strong data-start=\"386\" data-end=\"401\">third layer<\/strong>, there are:<\/em><\/span><br data-start=\"413\" data-end=\"416\" \/><span style=\"color: #808080\"><em><strong data-start=\"418\" data-end=\"431\">1 + 2 = 3<\/strong> potatoes.<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"443\" data-end=\"497\">\n<p data-start=\"445\" data-end=\"497\"><span style=\"color: #808080\"><em>And at the <strong data-start=\"456\" data-end=\"468\">very top<\/strong>, there is <strong data-start=\"479\" data-end=\"489\">just 1<\/strong> potato.<\/em><\/span><\/p>\n<\/li>\n<\/ul>\n<p><span style=\"color: #808080\"><em><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63800\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-10a-434x139.png\" alt=\"\" width=\"434\" height=\"139\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-10a.png 434w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-10a-300x96.png 300w\" sizes=\"auto, (max-width: 434px) 100vw, 434px\" \/><\/em><\/span><\/p>\n<p data-start=\"499\" data-end=\"528\"><span style=\"color: #808080\"><em>Now we add them all together:<\/em><\/span><\/p>\n<p data-start=\"530\" data-end=\"553\"><span style=\"color: #808080\"><em><strong data-start=\"530\" data-end=\"553\">10 + 6 + 3 + 1 = 20<\/strong><\/em><\/span><\/p>\n<p data-start=\"555\" data-end=\"620\"><span style=\"color: #808080\"><em>So Maja\u2019s marzipan pyramid has <strong data-start=\"586\" data-end=\"610\">20 marzipan potatoes<\/strong> in total!<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"115\" data-end=\"219\"><span style=\"color: #808080\"><em>We draw the different layers of the marzipan potato pyramid and count how many pieces are in each layer:<\/em><\/span><\/p>\n<ul data-start=\"221\" data-end=\"497\">\n<li data-start=\"221\" data-end=\"304\">\n<p data-start=\"223\" data-end=\"304\"><span style=\"color: #808080\"><em>In the <strong data-start=\"230\" data-end=\"246\">bottom layer<\/strong>, there are:<\/em><\/span><br data-start=\"258\" data-end=\"261\" \/><span style=\"color: #808080\"><em><strong data-start=\"263\" data-end=\"285\">1 + 2 + 3 + 4 = 10<\/strong> marzipan potatoes.<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"306\" data-end=\"375\">\n<p data-start=\"308\" data-end=\"375\"><span style=\"color: #808080\"><em>In the <strong data-start=\"315\" data-end=\"331\">second layer<\/strong>, there are:<\/em><\/span><br data-start=\"343\" data-end=\"346\" \/><span style=\"color: #808080\"><em><strong data-start=\"348\" data-end=\"365\">1 + 2 + 3 = 6<\/strong> potatoes.<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"377\" data-end=\"441\">\n<p data-start=\"379\" data-end=\"441\"><span style=\"color: #808080\"><em>In the <strong data-start=\"386\" data-end=\"401\">third layer<\/strong>, there are:<\/em><\/span><br data-start=\"413\" data-end=\"416\" \/><span style=\"color: #808080\"><em><strong data-start=\"418\" data-end=\"431\">1 + 2 = 3<\/strong> potatoes.<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"443\" data-end=\"497\">\n<p data-start=\"445\" data-end=\"497\"><span style=\"color: #808080\"><em>And at the <strong data-start=\"456\" data-end=\"468\">very top<\/strong>, there is <strong data-start=\"479\" data-end=\"489\">just 1<\/strong> potato.<\/em><\/span><\/p>\n<\/li>\n<\/ul>\n<p><span style=\"color: #808080\"><em><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63800\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-10a-434x139.png\" alt=\"\" width=\"434\" height=\"139\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-10a.png 434w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-10a-300x96.png 300w\" sizes=\"auto, (max-width: 434px) 100vw, 434px\" \/><\/em><\/span><\/p>\n<p data-start=\"499\" data-end=\"528\"><span style=\"color: #808080\"><em>Now we add them all together:<\/em><\/span><\/p>\n<p data-start=\"530\" data-end=\"553\"><span style=\"color: #808080\"><em><strong data-start=\"530\" data-end=\"553\">10 + 6 + 3 + 1 = 20<\/strong><\/em><\/span><\/p>\n<p data-start=\"555\" data-end=\"620\"><span style=\"color: #808080\"><em>So Maja\u2019s marzipan pyramid has <strong data-start=\"586\" data-end=\"610\">20 marzipan potatoes<\/strong> in total!<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='81' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>11 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>11. <\/p>\n<p style=\"text-align: left\">Right after school, Kurt was supposed to take the 2:10 p.m. bus to the neighbouring village to bring his aunt a Christmas stollen. Kurt left home so early<br \/>\nthat he was at the bus stop 5 minutes before the bus was due to leave. But Kurt forgot that his watch runs 10 minutes fast, so he still had plenty of time before<br \/>\nthe bus arrived. And then, the bus was 5 minutes late!<br \/>\n\u201cFinally,\u201d Kurt shouted when the bus arrived, and he looked at his watch.<br \/>\nWhat time did his watch show at this moment?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-81]' id='ays-answer-385-7' value='385'\/>\n\n                <label for='ays-answer-385-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>A<\/label><label for='ays-answer-385-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/16-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-81]' id='ays-answer-386-7' value='386'\/>\n\n                <label for='ays-answer-386-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>B<\/label><label for='ays-answer-386-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/17-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-81]' id='ays-answer-387-7' value='387'\/>\n\n                <label for='ays-answer-387-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>C<\/label><label for='ays-answer-387-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/18-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-81]' id='ays-answer-388-7' value='388'\/>\n\n                <label for='ays-answer-388-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>D<\/label><label for='ays-answer-388-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/19-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-81]' id='ays-answer-389-7' value='389'\/>\n\n                <label for='ays-answer-389-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>E<\/label><label for='ays-answer-389-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/20-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['81'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"400\" data-end=\"564\"><em><span style=\"color: #808080\">The bus came <strong data-start=\"413\" data-end=\"431\">5 minutes late<\/strong>, so it arrived at <strong data-start=\"450\" data-end=\"461\">2:15 PM<\/strong>.<\/span><\/em><br data-start=\"462\" data-end=\"465\" \/><em><span style=\"color: #808080\">Kurt\u2019s watch is <strong data-start=\"481\" data-end=\"500\">10 minutes fast<\/strong>, so when the bus arrived, his watch showed <strong data-start=\"544\" data-end=\"563\">10 minutes more<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"566\" data-end=\"597\"><em><span style=\"color: #808080\">2:15 + 10 minutes = <strong data-start=\"586\" data-end=\"597\">2:25 PM<\/strong><\/span><\/em><\/p>\n<p data-start=\"599\" data-end=\"639\"><em><span style=\"color: #808080\">That is the time shown on clock <strong data-start=\"631\" data-end=\"638\">(B)<\/strong>.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"400\" data-end=\"564\"><em><span style=\"color: #808080\">The bus came <strong data-start=\"413\" data-end=\"431\">5 minutes late<\/strong>, so it arrived at <strong data-start=\"450\" data-end=\"461\">2:15 PM<\/strong>.<\/span><\/em><br data-start=\"462\" data-end=\"465\" \/><em><span style=\"color: #808080\">Kurt\u2019s watch is <strong data-start=\"481\" data-end=\"500\">10 minutes fast<\/strong>, so when the bus arrived, his watch showed <strong data-start=\"544\" data-end=\"563\">10 minutes more<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"566\" data-end=\"597\"><em><span style=\"color: #808080\">2:15 + 10 minutes = <strong data-start=\"586\" data-end=\"597\">2:25 PM<\/strong><\/span><\/em><\/p>\n<p data-start=\"599\" data-end=\"639\"><em><span style=\"color: #808080\">That is the time shown on clock <strong data-start=\"631\" data-end=\"638\">(B)<\/strong>.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='82' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>12 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>12. <\/p>\n<p style=\"text-align: left\">Chiara, Lasse, and Leonie want to bake coconut macaroons. However, they cannot agree on how many spoons of dough to use for each macaroon. So now they make three types of macaroons: small ones made with one spoon of dough, medium ones made with two spoons of dough, and large ones made<br \/>\nwith three spoons of dough. First, they want to bake 3 macaroons of each type. Leonie carefully marks the spots where the macaroons should go on the baking paper. There should be exactly one macaroon of each type in each horizontal and vertical row.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63806\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-12-392x268.png\" alt=\"\" width=\"392\" height=\"268\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-12.png 392w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-12-300x205.png 300w\" sizes=\"auto, (max-width: 392px) 100vw, 392px\" \/><\/p>\n<p style=\"text-align: left\">quickly found this possibility. But is this the only one? How many possibilities are there?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-82]' id='ays-answer-390-7' value='390'\/>\n\n                <label for='ays-answer-390-7' class='  ays_position_initial  ays-quiz-keyboard-label'>only this one<\/label><label for='ays-answer-390-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-82]' id='ays-answer-391-7' value='391'\/>\n\n                <label for='ays-answer-391-7' class='  ays_position_initial  ays-quiz-keyboard-label'>two<\/label><label for='ays-answer-391-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-82]' id='ays-answer-392-7' value='392'\/>\n\n                <label for='ays-answer-392-7' class='  ays_position_initial  ays-quiz-keyboard-label'>three<\/label><label for='ays-answer-392-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-82]' id='ays-answer-393-7' value='393'\/>\n\n                <label for='ays-answer-393-7' class='  ays_position_initial  ays-quiz-keyboard-label'>four<\/label><label for='ays-answer-393-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-82]' id='ays-answer-394-7' value='394'\/>\n\n                <label for='ays-answer-394-7' class='  ays_position_initial  ays-quiz-keyboard-label'>more than four<\/label><label for='ays-answer-394-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['82'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"116\" data-end=\"241\"><em><span style=\"color: #808080\">If you look for all the different ways to arrange the cookies <strong data-start=\"178\" data-end=\"201\">in an organized way<\/strong>, you will quickly find <strong data-start=\"225\" data-end=\"240\">more than 4<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"243\" data-end=\"306\"><em><span style=\"color: #808080\">In the <strong data-start=\"250\" data-end=\"263\">first row<\/strong>, there are already <strong data-start=\"283\" data-end=\"305\">6 different orders<\/strong>:<\/span><\/em><\/p>\n<ul data-start=\"308\" data-end=\"469\">\n<li data-start=\"308\" data-end=\"334\">\n<p data-start=\"310\" data-end=\"334\"><em><span style=\"color: #808080\">small \u2013 medium \u2013 large<\/span><\/em><\/p>\n<\/li>\n<li data-start=\"335\" data-end=\"361\">\n<p data-start=\"337\" data-end=\"361\"><em><span style=\"color: #808080\">small \u2013 large \u2013 medium<\/span><\/em><\/p>\n<\/li>\n<li data-start=\"362\" data-end=\"388\">\n<p data-start=\"364\" data-end=\"388\"><em><span style=\"color: #808080\">medium \u2013 small \u2013 large<\/span><\/em><\/p>\n<\/li>\n<li data-start=\"389\" data-end=\"415\">\n<p data-start=\"391\" data-end=\"415\"><em><span style=\"color: #808080\">medium \u2013 large \u2013 small<\/span><\/em><\/p>\n<\/li>\n<li data-start=\"416\" data-end=\"442\">\n<p data-start=\"418\" data-end=\"442\"><em><span style=\"color: #808080\">large \u2013 small \u2013 medium<\/span><\/em><\/p>\n<\/li>\n<li data-start=\"443\" data-end=\"469\">\n<p data-start=\"445\" data-end=\"469\"><em><span style=\"color: #808080\">large \u2013 medium \u2013 small<\/span><\/em><\/p>\n<\/li>\n<\/ul>\n<p data-start=\"471\" data-end=\"587\"><em><span style=\"color: #808080\">For <strong data-start=\"475\" data-end=\"483\">each<\/strong> of these 6 orders in the first row, you can fill the rest of the baking tray in <strong data-start=\"564\" data-end=\"586\">two different ways<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"589\" data-end=\"612\"><em><span style=\"color: #808080\">So in total, there are:<\/span><\/em><\/p>\n<p data-start=\"614\" data-end=\"653\"><em><span style=\"color: #808080\"><strong data-start=\"614\" data-end=\"628\">6 \u00d7 2 = 12<\/strong> different possibilities.<\/span><\/em><\/p>\n<p data-start=\"614\" data-end=\"653\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63807\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-12a-672x324.png\" alt=\"\" width=\"672\" height=\"324\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-12a.png 672w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-12a-300x145.png 300w\" sizes=\"auto, (max-width: 672px) 100vw, 672px\" \/><\/p>\n<p data-start=\"655\" data-end=\"716\"><em><span style=\"color: #808080\">That means you can arrange the cookies <strong data-start=\"694\" data-end=\"715\">12 different ways<\/strong>!<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"116\" data-end=\"241\"><em><span style=\"color: #808080\">If you look for all the different ways to arrange the cookies <strong data-start=\"178\" data-end=\"201\">in an organized way<\/strong>, you will quickly find <strong data-start=\"225\" data-end=\"240\">more than 4<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"243\" data-end=\"306\"><em><span style=\"color: #808080\">In the <strong data-start=\"250\" data-end=\"263\">first row<\/strong>, there are already <strong data-start=\"283\" data-end=\"305\">6 different orders<\/strong>:<\/span><\/em><\/p>\n<ul data-start=\"308\" data-end=\"469\">\n<li data-start=\"308\" data-end=\"334\">\n<p data-start=\"310\" data-end=\"334\"><em><span style=\"color: #808080\">small \u2013 medium \u2013 large<\/span><\/em><\/p>\n<\/li>\n<li data-start=\"335\" data-end=\"361\">\n<p data-start=\"337\" data-end=\"361\"><em><span style=\"color: #808080\">small \u2013 large \u2013 medium<\/span><\/em><\/p>\n<\/li>\n<li data-start=\"362\" data-end=\"388\">\n<p data-start=\"364\" data-end=\"388\"><em><span style=\"color: #808080\">medium \u2013 small \u2013 large<\/span><\/em><\/p>\n<\/li>\n<li data-start=\"389\" data-end=\"415\">\n<p data-start=\"391\" data-end=\"415\"><em><span style=\"color: #808080\">medium \u2013 large \u2013 small<\/span><\/em><\/p>\n<\/li>\n<li data-start=\"416\" data-end=\"442\">\n<p data-start=\"418\" data-end=\"442\"><em><span style=\"color: #808080\">large \u2013 small \u2013 medium<\/span><\/em><\/p>\n<\/li>\n<li data-start=\"443\" data-end=\"469\">\n<p data-start=\"445\" data-end=\"469\"><em><span style=\"color: #808080\">large \u2013 medium \u2013 small<\/span><\/em><\/p>\n<\/li>\n<\/ul>\n<p data-start=\"471\" data-end=\"587\"><em><span style=\"color: #808080\">For <strong data-start=\"475\" data-end=\"483\">each<\/strong> of these 6 orders in the first row, you can fill the rest of the baking tray in <strong data-start=\"564\" data-end=\"586\">two different ways<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"589\" data-end=\"612\"><em><span style=\"color: #808080\">So in total, there are:<\/span><\/em><\/p>\n<p data-start=\"614\" data-end=\"653\"><em><span style=\"color: #808080\"><strong data-start=\"614\" data-end=\"628\">6 \u00d7 2 = 12<\/strong> different possibilities.<\/span><\/em><\/p>\n<p data-start=\"614\" data-end=\"653\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63807\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-12a-672x324.png\" alt=\"\" width=\"672\" height=\"324\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-12a.png 672w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-12a-300x145.png 300w\" sizes=\"auto, (max-width: 672px) 100vw, 672px\" \/><\/p>\n<p data-start=\"655\" data-end=\"716\"><em><span style=\"color: #808080\">That means you can arrange the cookies <strong data-start=\"694\" data-end=\"715\">12 different ways<\/strong>!<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='83' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>13 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>13. <\/p>\n<p style=\"text-align: left\">At the weekend, Mirja\u2019s grandmother wants to bake moist honey cakes. Mirja gathers the ingredients. In the cupboard, she finds two jars of honey, a small one and a large one. Both are from the same beekeeper, as can be seen from the label.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63852\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-13-550x252.png\" alt=\"\" width=\"550\" height=\"252\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-13.png 550w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-13-300x137.png 300w\" sizes=\"auto, (max-width: 550px) 100vw, 550px\" \/><\/p>\n<p style=\"text-align: left\">Mirja knows that the beekeeper also sells jars that are one size larger. How many small hexagons are likely to be visible on the next largest jar?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-83]' id='ays-answer-395-7' value='395'\/>\n\n                <label for='ays-answer-395-7' class='  ays_position_initial  ays-quiz-keyboard-label'>21<\/label><label for='ays-answer-395-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-83]' id='ays-answer-396-7' value='396'\/>\n\n                <label for='ays-answer-396-7' class='  ays_position_initial  ays-quiz-keyboard-label'>22<\/label><label for='ays-answer-396-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-83]' id='ays-answer-397-7' value='397'\/>\n\n                <label for='ays-answer-397-7' class='  ays_position_initial  ays-quiz-keyboard-label'>23<\/label><label for='ays-answer-397-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-83]' id='ays-answer-398-7' value='398'\/>\n\n                <label for='ays-answer-398-7' class='  ays_position_initial  ays-quiz-keyboard-label'>24<\/label><label for='ays-answer-398-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-83]' id='ays-answer-399-7' value='399'\/>\n\n                <label for='ays-answer-399-7' class='  ays_position_initial  ays-quiz-keyboard-label'>25<\/label><label for='ays-answer-399-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['83'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"614\" data-end=\"653\">\n<p data-start=\"97\" data-end=\"217\"><em><span style=\"color: #808080\">On the <strong data-start=\"104\" data-end=\"117\">small jar<\/strong>, there are <strong data-start=\"129\" data-end=\"143\">3 hexagons<\/strong> in each row and <strong data-start=\"160\" data-end=\"170\">3 rows<\/strong>.<\/span><\/em><br data-start=\"171\" data-end=\"174\" \/><em><span style=\"color: #808080\">That makes <strong data-start=\"185\" data-end=\"207\">3 \u00d7 3 = 9 hexagons<\/strong> in total.<\/span><\/em><\/p>\n<p data-start=\"219\" data-end=\"332\"><em><span style=\"color: #808080\">On the <strong data-start=\"226\" data-end=\"240\">medium jar<\/strong>, there are <strong data-start=\"252\" data-end=\"266\">4 hexagons<\/strong> in each row and <strong data-start=\"283\" data-end=\"293\">4 rows<\/strong>.<\/span><\/em><br data-start=\"294\" data-end=\"297\" \/><em><span style=\"color: #808080\">That makes <strong data-start=\"308\" data-end=\"331\">4 \u00d7 4 = 16 hexagons<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"334\" data-end=\"479\"><em><span style=\"color: #808080\">So on the <strong data-start=\"344\" data-end=\"363\">next bigger jar<\/strong>, there will probably be <strong data-start=\"388\" data-end=\"402\">5 hexagons<\/strong> in each row and <strong data-start=\"419\" data-end=\"429\">5 rows<\/strong>.<\/span><\/em><br data-start=\"430\" data-end=\"433\" \/><em><span style=\"color: #808080\">That makes <strong data-start=\"444\" data-end=\"467\">5 \u00d7 5 = 25 hexagons<\/strong> altogether.<\/span><\/em><\/p>\n<p data-start=\"334\" data-end=\"479\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63853\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-13a-202x153.png\" alt=\"\" width=\"202\" height=\"153\" \/><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"97\" data-end=\"217\"><em><span style=\"color: #808080\">On the <strong data-start=\"104\" data-end=\"117\">small jar<\/strong>, there are <strong data-start=\"129\" data-end=\"143\">3 hexagons<\/strong> in each row and <strong data-start=\"160\" data-end=\"170\">3 rows<\/strong>.<\/span><\/em><br data-start=\"171\" data-end=\"174\" \/><em><span style=\"color: #808080\">That makes <strong data-start=\"185\" data-end=\"207\">3 \u00d7 3 = 9 hexagons<\/strong> in total.<\/span><\/em><\/p>\n<p data-start=\"219\" data-end=\"332\"><em><span style=\"color: #808080\">On the <strong data-start=\"226\" data-end=\"240\">medium jar<\/strong>, there are <strong data-start=\"252\" data-end=\"266\">4 hexagons<\/strong> in each row and <strong data-start=\"283\" data-end=\"293\">4 rows<\/strong>.<\/span><\/em><br data-start=\"294\" data-end=\"297\" \/><em><span style=\"color: #808080\">That makes <strong data-start=\"308\" data-end=\"331\">4 \u00d7 4 = 16 hexagons<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"334\" data-end=\"479\"><em><span style=\"color: #808080\">So on the <strong data-start=\"344\" data-end=\"363\">next bigger jar<\/strong>, there will probably be <strong data-start=\"388\" data-end=\"402\">5 hexagons<\/strong> in each row and <strong data-start=\"419\" data-end=\"429\">5 rows<\/strong>.<\/span><\/em><br data-start=\"430\" data-end=\"433\" \/><em><span style=\"color: #808080\">That makes <strong data-start=\"444\" data-end=\"467\">5 \u00d7 5 = 25 hexagons<\/strong> altogether.<\/span><\/em><\/p>\n<p data-start=\"334\" data-end=\"479\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63853\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-13a-202x153.png\" alt=\"\" width=\"202\" height=\"153\" \/><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='87' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>14 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>14. <\/p>\n<p style=\"text-align: left\">There is a strange custom in Speculatia during Advent. Every Sunday in Advent, freshly baked speculoos are eaten, and an Advent candle holder is<br \/>\nplaced on the table:<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63858\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-Maxi-14-365x119.png\" alt=\"\" width=\"365\" height=\"119\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-Maxi-14.png 365w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-Maxi-14-300x98.png 300w\" sizes=\"auto, (max-width: 365px) 100vw, 365px\" \/><\/p>\n<p style=\"text-align: left\">When the candles are lit, everyone eats speculoos. And when the candles have burned down by exactly half their length, it\u2019s over. The candles are blown out, and the table is cleared again. On the 1st Advent, only the 1st candle burns. On the 2nd Advent, the 1st and the 2nd candle burn. On the 3rd Advent, the 1st, the 2nd, and the 3rd candle burn. And on the 4th Advent, all 4 candles burn. When a candle has burned down completely, it is replaced with a new candle on the following Sunday of Advent before being lit. What will a candle holder in Speculatia look like on the 4th Advent when all the candles have been blown out?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-87]' id='ays-answer-415-7' value='415'\/>\n\n                <label for='ays-answer-415-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>A<\/label><label for='ays-answer-415-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/21-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-87]' id='ays-answer-416-7' value='416'\/>\n\n                <label for='ays-answer-416-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>B<\/label><label for='ays-answer-416-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/22-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-87]' id='ays-answer-417-7' value='417'\/>\n\n                <label for='ays-answer-417-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>C<\/label><label for='ays-answer-417-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/23-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-87]' id='ays-answer-418-7' value='418'\/>\n\n                <label for='ays-answer-418-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>D<\/label><label for='ays-answer-418-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/24-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-87]' id='ays-answer-419-7' value='419'\/>\n\n                <label for='ays-answer-419-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>E<\/label><label for='ays-answer-419-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/25-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['87'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"86\" data-end=\"134\"><span style=\"color: #808080\"><em>On <strong data-start=\"89\" data-end=\"111\">each Advent Sunday<\/strong>, some candles are lit.<\/em><\/span><\/p>\n<ul data-start=\"136\" data-end=\"531\">\n<li data-start=\"136\" data-end=\"263\">\n<p data-start=\"138\" data-end=\"263\"><span style=\"color: #808080\"><em><strong data-start=\"138\" data-end=\"150\">Candle 1<\/strong> is lit <strong data-start=\"158\" data-end=\"169\">4 times<\/strong>.<\/em><\/span><br data-start=\"170\" data-end=\"173\" \/><span style=\"color: #808080\"><em>Each time, <strong data-start=\"186\" data-end=\"203\">half a candle<\/strong> burns.<\/em><\/span><br data-start=\"210\" data-end=\"213\" \/><span style=\"color: #808080\"><em>After the 4th Sunday, it is <strong data-start=\"243\" data-end=\"262\" data-is-only-node=\"\">all burned down<\/strong>.<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"265\" data-end=\"353\">\n<p data-start=\"267\" data-end=\"353\"><span style=\"color: #808080\"><em><strong data-start=\"267\" data-end=\"279\">Candle 2<\/strong> is lit <strong data-start=\"287\" data-end=\"298\">3 times<\/strong>.<\/em><\/span><br data-start=\"299\" data-end=\"302\" \/><span style=\"color: #808080\"><em>After the 4th Sunday, it is <strong data-start=\"332\" data-end=\"352\">half burned down<\/strong>.<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"355\" data-end=\"442\">\n<p data-start=\"357\" data-end=\"442\"><span style=\"color: #808080\"><em><strong data-start=\"357\" data-end=\"369\">Candle 3<\/strong> is lit <strong data-start=\"377\" data-end=\"388\">2 times<\/strong>.<\/em><\/span><br data-start=\"389\" data-end=\"392\" \/><span style=\"color: #808080\"><em>After the 4th Sunday, it is <strong data-start=\"422\" data-end=\"441\">all burned down<\/strong>.<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"444\" data-end=\"531\">\n<p data-start=\"446\" data-end=\"531\"><span style=\"color: #808080\"><em><strong data-start=\"446\" data-end=\"458\">Candle 4<\/strong> is lit <strong data-start=\"466\" data-end=\"476\">1 time<\/strong>.<\/em><\/span><br data-start=\"477\" data-end=\"480\" \/><span style=\"color: #808080\"><em>After the 4th Sunday, it is <strong data-start=\"510\" data-end=\"530\">half burned down<\/strong>.<\/em><\/span><\/p>\n<\/li>\n<\/ul>\n<p data-start=\"533\" data-end=\"567\"><span style=\"color: #808080\"><em>So the <strong data-start=\"540\" data-end=\"565\">correct answer is (A)<\/strong><\/em><\/span><\/p>\n<p data-start=\"533\" data-end=\"567\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63864\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-14a-586x236.png\" alt=\"\" width=\"586\" height=\"236\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-14a.png 586w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-14a-300x121.png 300w\" sizes=\"auto, (max-width: 586px) 100vw, 586px\" \/><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"86\" data-end=\"134\"><span style=\"color: #808080\"><em>On <strong data-start=\"89\" data-end=\"111\">each Advent Sunday<\/strong>, some candles are lit.<\/em><\/span><\/p>\n<ul data-start=\"136\" data-end=\"531\">\n<li data-start=\"136\" data-end=\"263\">\n<p data-start=\"138\" data-end=\"263\"><span style=\"color: #808080\"><em><strong data-start=\"138\" data-end=\"150\">Candle 1<\/strong> is lit <strong data-start=\"158\" data-end=\"169\">4 times<\/strong>.<\/em><\/span><br data-start=\"170\" data-end=\"173\" \/><span style=\"color: #808080\"><em>Each time, <strong data-start=\"186\" data-end=\"203\">half a candle<\/strong> burns.<\/em><\/span><br data-start=\"210\" data-end=\"213\" \/><span style=\"color: #808080\"><em>After the 4th Sunday, it is <strong data-start=\"243\" data-end=\"262\" data-is-only-node=\"\">all burned down<\/strong>.<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"265\" data-end=\"353\">\n<p data-start=\"267\" data-end=\"353\"><span style=\"color: #808080\"><em><strong data-start=\"267\" data-end=\"279\">Candle 2<\/strong> is lit <strong data-start=\"287\" data-end=\"298\">3 times<\/strong>.<\/em><\/span><br data-start=\"299\" data-end=\"302\" \/><span style=\"color: #808080\"><em>After the 4th Sunday, it is <strong data-start=\"332\" data-end=\"352\">half burned down<\/strong>.<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"355\" data-end=\"442\">\n<p data-start=\"357\" data-end=\"442\"><span style=\"color: #808080\"><em><strong data-start=\"357\" data-end=\"369\">Candle 3<\/strong> is lit <strong data-start=\"377\" data-end=\"388\">2 times<\/strong>.<\/em><\/span><br data-start=\"389\" data-end=\"392\" \/><span style=\"color: #808080\"><em>After the 4th Sunday, it is <strong data-start=\"422\" data-end=\"441\">all burned down<\/strong>.<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"444\" data-end=\"531\">\n<p data-start=\"446\" data-end=\"531\"><span style=\"color: #808080\"><em><strong data-start=\"446\" data-end=\"458\">Candle 4<\/strong> is lit <strong data-start=\"466\" data-end=\"476\">1 time<\/strong>.<\/em><\/span><br data-start=\"477\" data-end=\"480\" \/><span style=\"color: #808080\"><em>After the 4th Sunday, it is <strong data-start=\"510\" data-end=\"530\">half burned down<\/strong>.<\/em><\/span><\/p>\n<\/li>\n<\/ul>\n<p data-start=\"533\" data-end=\"567\"><span style=\"color: #808080\"><em>So the <strong data-start=\"540\" data-end=\"565\">correct answer is (A)<\/strong><\/em><\/span><\/p>\n<p data-start=\"533\" data-end=\"567\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63864\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-14a-586x236.png\" alt=\"\" width=\"586\" height=\"236\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-14a.png 586w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-14a-300x121.png 300w\" sizes=\"auto, (max-width: 586px) 100vw, 586px\" \/><\/p>\n<p data-start=\"97\" data-end=\"217\">\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='89' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>15 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>15. <\/p>\n<p style=\"text-align: left\">Together with his father, Lukas wants to build a gingerbread house. Lukas is still pondering the dimensions of the house, because the pieces have to fit together perfectly. To make things easier, he decided to build a model out of paper first. Lukas drew the two gable ends of the house and the rectangles for the two roof halves on some thicker squared paper:<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63866\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-15-1-440x188.png\" alt=\"\" width=\"440\" height=\"188\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-15-1.png 440w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-15-1-300x128.png 300w\" sizes=\"auto, (max-width: 440px) 100vw, 440px\" \/><\/p>\n<p style=\"text-align: left\">Now, only the two long walls are still missing. How should Luke draw one of the long walls?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-89]' id='ays-answer-425-7' value='425'\/>\n\n                <label for='ays-answer-425-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>A<\/label><label for='ays-answer-425-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/26-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-89]' id='ays-answer-426-7' value='426'\/>\n\n                <label for='ays-answer-426-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>B<\/label><label for='ays-answer-426-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/29-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-89]' id='ays-answer-427-7' value='427'\/>\n\n                <label for='ays-answer-427-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>C<\/label><label for='ays-answer-427-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/30-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-89]' id='ays-answer-428-7' value='428'\/>\n\n                <label for='ays-answer-428-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>D<\/label><label for='ays-answer-428-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/27-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-89]' id='ays-answer-429-7' value='429'\/>\n\n                <label for='ays-answer-429-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>E<\/label><label for='ays-answer-429-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/28-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['89'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p data-start=\"371\" data-end=\"411\">\n<p data-start=\"49\" data-end=\"306\"><span style=\"color: #808080\"><em>The missing walls are the long sides of the model house.<\/em><\/span><br data-start=\"105\" data-end=\"108\" \/><span style=\"color: #808080\"><em>Each wall is just as tall as the triangular wall on the side, which is <strong data-start=\"181\" data-end=\"200\">12 squares high<\/strong>.<\/em><\/span><br data-start=\"201\" data-end=\"204\" \/><span style=\"color: #808080\"><em>The length of each missing wall is the same as one half of the roof, which is <strong data-start=\"284\" data-end=\"303\">24 squares long<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"313\" data-end=\"440\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>So the rectangle <strong data-start=\"330\" data-end=\"337\">(B)<\/strong> is <strong data-start=\"341\" data-end=\"360\">12 squares high<\/strong> and <strong data-start=\"365\" data-end=\"384\">24 squares long<\/strong>.<\/em><\/span><br data-start=\"385\" data-end=\"388\" \/><span style=\"color: #808080\"><em>This rectangle is the answer we are looking for.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"49\" data-end=\"306\"><span style=\"color: #808080\"><em>The missing walls are the long sides of the model house.<\/em><\/span><br data-start=\"105\" data-end=\"108\" \/><span style=\"color: #808080\"><em>Each wall is just as tall as the triangular wall on the side, which is <strong data-start=\"181\" data-end=\"200\">12 squares high<\/strong>.<\/em><\/span><br data-start=\"201\" data-end=\"204\" \/><span style=\"color: #808080\"><em>The length of each missing wall is the same as one half of the roof, which is <strong data-start=\"284\" data-end=\"303\">24 squares long<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"313\" data-end=\"440\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>So the rectangle <strong data-start=\"330\" data-end=\"337\">(B)<\/strong> is <strong data-start=\"341\" data-end=\"360\">12 squares high<\/strong> and <strong data-start=\"365\" data-end=\"384\">24 squares long<\/strong>.<\/em><\/span><br data-start=\"385\" data-end=\"388\" \/><span style=\"color: #808080\"><em>This rectangle is the answer we are looking for.<\/em><\/span><\/p>\n<p data-start=\"97\" data-end=\"217\">\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='92' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>16 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>16. <\/p>\n<p style=\"text-align: left\">Today, the five friends, Ella, Karl, Sebastian, Marie, and Nico, had a Christmas party at school. Everyone took home a small gift: a book, a little puzzle game,<br \/>\na card game, a hand-knitted scarf, or a chocolate heart.<br \/>\nElla got something to play with.<br \/>\nKarl got something to snack on.<br \/>\nSebastian didn\u2019t get the book.<br \/>\nMarie also got something to play with.<br \/>\nWhat did Nico get?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-92]' id='ays-answer-440-7' value='440'\/>\n\n                <label for='ays-answer-440-7' class='  ays_position_initial  ays-quiz-keyboard-label'>the book<\/label><label for='ays-answer-440-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-92]' id='ays-answer-441-7' value='441'\/>\n\n                <label for='ays-answer-441-7' class='  ays_position_initial  ays-quiz-keyboard-label'>the puzzle game<\/label><label for='ays-answer-441-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-92]' id='ays-answer-442-7' value='442'\/>\n\n                <label for='ays-answer-442-7' class='  ays_position_initial  ays-quiz-keyboard-label'>the card game<\/label><label for='ays-answer-442-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-92]' id='ays-answer-443-7' value='443'\/>\n\n                <label for='ays-answer-443-7' class='  ays_position_initial  ays-quiz-keyboard-label'>the scarf<\/label><label for='ays-answer-443-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-92]' id='ays-answer-444-7' value='444'\/>\n\n                <label for='ays-answer-444-7' class='  ays_position_initial  ays-quiz-keyboard-label'>the chocolate heart<\/label><label for='ays-answer-444-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['92'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"48\" data-end=\"199\"><span style=\"color: #808080\"><em>If you look closely at the presents, you can see that the <strong data-start=\"106\" data-end=\"125\">chocolate heart<\/strong> is the only treat to eat.<\/em><\/span><br data-start=\"151\" data-end=\"154\" \/><span style=\"color: #808080\"><em>So <strong data-start=\"159\" data-end=\"167\">Karl<\/strong> got the chocolate heart.\u00a0<\/em><\/span><\/p>\n<p data-start=\"206\" data-end=\"322\"><span style=\"color: #808080\"><em>There are exactly <strong data-start=\"224\" data-end=\"236\">two toys<\/strong>: the puzzle game and the card game.<\/em><\/span><br data-start=\"272\" data-end=\"275\" \/><span style=\"color: #808080\"><em><strong data-start=\"277\" data-end=\"285\">Ella<\/strong> and <strong data-start=\"290\" data-end=\"299\">Marie<\/strong> got those toys.\u00a0<\/em><\/span><\/p>\n<p data-start=\"329\" data-end=\"477\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>That leaves the <strong data-start=\"345\" data-end=\"353\">book<\/strong> and the <strong data-start=\"362\" data-end=\"371\">scarf<\/strong>.<\/em><\/span><br data-start=\"372\" data-end=\"375\" \/><span style=\"color: #808080\"><em>Since <strong data-start=\"383\" data-end=\"396\">Sebastian<\/strong> did not get the book, he got the <strong data-start=\"430\" data-end=\"439\">scarf<\/strong>.\u00a0<\/em><\/span><br data-start=\"443\" data-end=\"446\" \/><span style=\"color: #808080\"><em><strong data-start=\"448\" data-end=\"456\">Nico<\/strong> got the <strong data-start=\"465\" data-end=\"473\">book<\/strong>.\u00a0<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"48\" data-end=\"199\"><span style=\"color: #808080\"><em>If you look closely at the presents, you can see that the <strong data-start=\"106\" data-end=\"125\">chocolate heart<\/strong> is the only treat to eat.<\/em><\/span><br data-start=\"151\" data-end=\"154\" \/><span style=\"color: #808080\"><em>So <strong data-start=\"159\" data-end=\"167\">Karl<\/strong> got the chocolate heart.\u00a0<\/em><\/span><\/p>\n<p data-start=\"206\" data-end=\"322\"><span style=\"color: #808080\"><em>There are exactly <strong data-start=\"224\" data-end=\"236\">two toys<\/strong>: the puzzle game and the card game.<\/em><\/span><br data-start=\"272\" data-end=\"275\" \/><span style=\"color: #808080\"><em><strong data-start=\"277\" data-end=\"285\">Ella<\/strong> and <strong data-start=\"290\" data-end=\"299\">Marie<\/strong> got those toys.\u00a0<\/em><\/span><\/p>\n<p data-start=\"329\" data-end=\"477\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>That leaves the <strong data-start=\"345\" data-end=\"353\">book<\/strong> and the <strong data-start=\"362\" data-end=\"371\">scarf<\/strong>.<\/em><\/span><br data-start=\"372\" data-end=\"375\" \/><span style=\"color: #808080\"><em>Since <strong data-start=\"383\" data-end=\"396\">Sebastian<\/strong> did not get the book, he got the <strong data-start=\"430\" data-end=\"439\">scarf<\/strong>.\u00a0<\/em><\/span><br data-start=\"443\" data-end=\"446\" \/><span style=\"color: #808080\"><em><strong data-start=\"448\" data-end=\"456\">Nico<\/strong> got the <strong data-start=\"465\" data-end=\"473\">book<\/strong>.\u00a0<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='94' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>17 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>17. <\/p>\n<p style=\"text-align: left\">Light and dark dough can be used to bake beautifully patterned biscuits. Simon is baking striped biscuits today. Simon rolls out the light and dark dough evenly, about 1 cm thick. Then he cuts a rectangle out of both types of dough, about 40 cm wide and 80 cm long. He places the light-coloured dough rectangle exactly on top of the dark one. Now he cuts it in half lengthwise and places one half on top of the other without turning it over. He repeats the whole process again: he cuts it in half lengthwise and places one half on top of the other without turning it over. Now Simon has an 80 cm long dough strip. He cuts this into slices. Now all that\u2019s left to do is bake them, and the striped biscuits are ready!<br \/>\nWhat do Simon\u2019s biscuits look like?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-94]' id='ays-answer-450-7' value='450'\/>\n\n                <label for='ays-answer-450-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>A<\/label><label for='ays-answer-450-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/36-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-94]' id='ays-answer-451-7' value='451'\/>\n\n                <label for='ays-answer-451-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>B<\/label><label for='ays-answer-451-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/37-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-94]' id='ays-answer-452-7' value='452'\/>\n\n                <label for='ays-answer-452-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>C<\/label><label for='ays-answer-452-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/38-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-94]' id='ays-answer-453-7' value='453'\/>\n\n                <label for='ays-answer-453-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>D<\/label><label for='ays-answer-453-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/39-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-94]' id='ays-answer-454-7' value='454'\/>\n\n                <label for='ays-answer-454-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>E<\/label><label for='ays-answer-454-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/40-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['94'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p data-start=\"544\" data-end=\"613\" data-is-last-node=\"\">\n<p data-start=\"48\" data-end=\"167\"><span style=\"color: #808080\"><em>When <strong data-start=\"53\" data-end=\"62\">Simon<\/strong> puts the <strong data-start=\"72\" data-end=\"97\">light dough rectangle<\/strong> on top of the <strong data-start=\"112\" data-end=\"136\">dark dough rectangle<\/strong>, the dough is <strong data-start=\"151\" data-end=\"164\">2 cm high<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"174\" data-end=\"331\"><span style=\"color: #808080\"><em>Each time Simon <strong data-start=\"190\" data-end=\"231\">cuts the rectangle in half lengthwise<\/strong> and stacks one half on top of the other, the <strong data-start=\"277\" data-end=\"301\">width is cut in half<\/strong> and the <strong data-start=\"310\" data-end=\"328\">height doubles<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"338\" data-end=\"402\"><span style=\"color: #808080\"><em>If we look at the rectangle from the side, it looks like this:<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63904\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-17a-656x114.png\" alt=\"\" width=\"656\" height=\"114\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-17a.png 656w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-17a-300x52.png 300w\" sizes=\"auto, (max-width: 656px) 100vw, 656px\" \/><\/p>\n<p data-start=\"505\" data-end=\"632\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>So Simon\u2019s cookies are <strong data-start=\"528\" data-end=\"565\">a little wider than they are tall<\/strong> and are made of <strong data-start=\"582\" data-end=\"594\">8 layers<\/strong>.<\/em><\/span><br data-start=\"595\" data-end=\"598\" \/><span style=\"color: #808080\"><em>This matches <strong data-start=\"613\" data-end=\"628\">picture (C)<\/strong>.\u00a0<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"48\" data-end=\"167\"><span style=\"color: #808080\"><em>When <strong data-start=\"53\" data-end=\"62\">Simon<\/strong> puts the <strong data-start=\"72\" data-end=\"97\">light dough rectangle<\/strong> on top of the <strong data-start=\"112\" data-end=\"136\">dark dough rectangle<\/strong>, the dough is <strong data-start=\"151\" data-end=\"164\">2 cm high<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"174\" data-end=\"331\"><span style=\"color: #808080\"><em>Each time Simon <strong data-start=\"190\" data-end=\"231\">cuts the rectangle in half lengthwise<\/strong> and stacks one half on top of the other, the <strong data-start=\"277\" data-end=\"301\">width is cut in half<\/strong> and the <strong data-start=\"310\" data-end=\"328\">height doubles<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"338\" data-end=\"402\"><span style=\"color: #808080\"><em>If we look at the rectangle from the side, it looks like this:<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63904\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-17a-656x114.png\" alt=\"\" width=\"656\" height=\"114\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-17a.png 656w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-17a-300x52.png 300w\" sizes=\"auto, (max-width: 656px) 100vw, 656px\" \/><\/p>\n<p data-start=\"505\" data-end=\"632\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>So Simon\u2019s cookies are <strong data-start=\"528\" data-end=\"565\">a little wider than they are tall<\/strong> and are made of <strong data-start=\"582\" data-end=\"594\">8 layers<\/strong>.<\/em><\/span><br data-start=\"595\" data-end=\"598\" \/><span style=\"color: #808080\"><em>This matches <strong data-start=\"613\" data-end=\"628\">picture (C)<\/strong>.\u00a0<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='95' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>18 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>18. <\/p>\n<p style=\"text-align: left\">Late in the evening, Valentin bakes vanilla crescent cookies. He is about to open the oven to put the first tray in. In the oven door window, he sees the reflection of the digital clock that stands on the opposite side. The reflection of the display looks like this:<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63906\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-18-135x64.png\" alt=\"\" width=\"135\" height=\"64\" \/><br \/>\nOne hour and 10 minutes later, he takes the last tray out of the oven.<br \/>\nOnce again, he sees the time reflected in the oven door window.<br \/>\nWhat does Valentin see?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-95]' id='ays-answer-455-7' value='455'\/>\n\n                <label for='ays-answer-455-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>A<\/label><label for='ays-answer-455-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/1-1-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-95]' id='ays-answer-456-7' value='456'\/>\n\n                <label for='ays-answer-456-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>B<\/label><label for='ays-answer-456-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2-1-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-95]' id='ays-answer-457-7' value='457'\/>\n\n                <label for='ays-answer-457-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>C<\/label><label for='ays-answer-457-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/4-2-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-95]' id='ays-answer-458-7' value='458'\/>\n\n                <label for='ays-answer-458-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>D<\/label><label for='ays-answer-458-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/3-2-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-95]' id='ays-answer-459-7' value='459'\/>\n\n                <label for='ays-answer-459-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>E<\/label><label for='ays-answer-459-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/5-1-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['95'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"48\" data-end=\"134\"><span style=\"color: #808080\"><em>When we <strong data-start=\"56\" data-end=\"89\">mirror the digits 0, 2, and 5<\/strong> on a vertical line, something fun happens!<\/em><\/span><\/p>\n<ul data-start=\"137\" data-end=\"220\">\n<li data-start=\"137\" data-end=\"158\">\n<p data-start=\"139\" data-end=\"158\"><span style=\"color: #808080\"><em><strong data-start=\"139\" data-end=\"144\">0<\/strong> stays <strong data-start=\"151\" data-end=\"156\" data-is-only-node=\"\">0<\/strong><\/em><\/span><\/p>\n<\/li>\n<li data-start=\"161\" data-end=\"187\">\n<p data-start=\"163\" data-end=\"187\"><span style=\"color: #808080\"><em><strong data-start=\"163\" data-end=\"168\">2<\/strong> turns into <strong data-start=\"180\" data-end=\"185\" data-is-only-node=\"\">5<\/strong><\/em><\/span><\/p>\n<\/li>\n<li data-start=\"190\" data-end=\"216\">\n<p data-start=\"192\" data-end=\"216\"><span style=\"color: #808080\"><em><strong data-start=\"192\" data-end=\"197\">5<\/strong> turns into <strong data-start=\"209\" data-end=\"214\" data-is-only-node=\"\">2<\/strong><\/em><\/span><\/p>\n<\/li>\n<\/ul>\n<p data-start=\"223\" data-end=\"318\"><span style=\"color: #808080\"><em>In the mirrored time, the flipped digits are also in the <strong data-start=\"280\" data-end=\"297\">reverse order<\/strong>, like in a mirror.<\/em><\/span><\/p>\n<p data-start=\"325\" data-end=\"449\"><span style=\"color: #808080\"><em>When <strong data-start=\"330\" data-end=\"342\">Valentin<\/strong> starts baking, the real time is <strong data-start=\"375\" data-end=\"384\">20:55<\/strong>.<\/em><\/span><br data-start=\"385\" data-end=\"388\" \/><span style=\"color: #808080\"><em><strong data-start=\"390\" data-end=\"423\">One hour and 10 minutes later<\/strong>, the time is <strong data-start=\"437\" data-end=\"446\">22:05<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"456\" data-end=\"563\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>That time is exactly the <strong data-start=\"481\" data-end=\"512\">mirror of the starting time<\/strong>!<\/em><\/span><br data-start=\"513\" data-end=\"516\" \/><span style=\"color: #808080\"><em>When we mirror it again, we get <strong data-start=\"550\" data-end=\"559\">20:55<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"48\" data-end=\"134\"><span style=\"color: #808080\"><em>When we <strong data-start=\"56\" data-end=\"89\">mirror the digits 0, 2, and 5<\/strong> on a vertical line, something fun happens!<\/em><\/span><\/p>\n<ul data-start=\"137\" data-end=\"220\">\n<li data-start=\"137\" data-end=\"158\">\n<p data-start=\"139\" data-end=\"158\"><span style=\"color: #808080\"><em><strong data-start=\"139\" data-end=\"144\">0<\/strong> stays <strong data-start=\"151\" data-end=\"156\" data-is-only-node=\"\">0<\/strong><\/em><\/span><\/p>\n<\/li>\n<li data-start=\"161\" data-end=\"187\">\n<p data-start=\"163\" data-end=\"187\"><span style=\"color: #808080\"><em><strong data-start=\"163\" data-end=\"168\">2<\/strong> turns into <strong data-start=\"180\" data-end=\"185\" data-is-only-node=\"\">5<\/strong><\/em><\/span><\/p>\n<\/li>\n<li data-start=\"190\" data-end=\"216\">\n<p data-start=\"192\" data-end=\"216\"><span style=\"color: #808080\"><em><strong data-start=\"192\" data-end=\"197\">5<\/strong> turns into <strong data-start=\"209\" data-end=\"214\" data-is-only-node=\"\">2<\/strong><\/em><\/span><\/p>\n<\/li>\n<\/ul>\n<p data-start=\"223\" data-end=\"318\"><span style=\"color: #808080\"><em>In the mirrored time, the flipped digits are also in the <strong data-start=\"280\" data-end=\"297\">reverse order<\/strong>, like in a mirror.<\/em><\/span><\/p>\n<p data-start=\"325\" data-end=\"449\"><span style=\"color: #808080\"><em>When <strong data-start=\"330\" data-end=\"342\">Valentin<\/strong> starts baking, the real time is <strong data-start=\"375\" data-end=\"384\">20:55<\/strong>.<\/em><\/span><br data-start=\"385\" data-end=\"388\" \/><span style=\"color: #808080\"><em><strong data-start=\"390\" data-end=\"423\">One hour and 10 minutes later<\/strong>, the time is <strong data-start=\"437\" data-end=\"446\">22:05<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"456\" data-end=\"563\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>That time is exactly the <strong data-start=\"481\" data-end=\"512\">mirror of the starting time<\/strong>!<\/em><\/span><br data-start=\"513\" data-end=\"516\" \/><span style=\"color: #808080\"><em>When we mirror it again, we get <strong data-start=\"550\" data-end=\"559\">20:55<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='97' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>19 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>19. <\/p>\n<p style=\"text-align: left\">This year, the fairy Felicitas wanted to give the gnomes a basket of her homemade Spitzbuben cookies with apricot jam. The journey was long and led through the fairy tale forest. She put her basket down under an old tree to rest for a while. After a few minutes, her eyes began to close, but suddenly she heard a rustling sound and woke up. Four gnomes quickly hopped out of the basket and had an innocent look on their faces. But they had cookie crumbs in their beards, and Felicitas immediately saw that some of the Spitzbuben cookies were missing from the basket. The gnomes had been snacking. \u201cCome on,\u201d she called, \u201chow many Spitzbuben cookies did the four of you eat in total?\u201d<br \/>\nThe gnomes came clean, and this is what they said:<br \/>\nWaldemar grumbled, \u201cMore than 3, but less than 7.\u201d<br \/>\nTarel admitted, \u201cMore than 7, but less than 12.\u201d<br \/>\nHis brother Nisse said, \u201cMore than 11, but less than 16.\u201d<br \/>\nAnd Funkel said, \u201cMore than 14, but less than 18.\u201d<br \/>\nFelicitas knew, that in a group of gnomes, half of them are speaking the truth and half of them are lying. Fortunately, these gnomes weren\u2019t particularly clever, and Felicitas quickly figured it out. How many Spitzbuben cookies were missing?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-97]' id='ays-answer-465-7' value='465'\/>\n\n                <label for='ays-answer-465-7' class='  ays_position_initial  ays-quiz-keyboard-label'>9<\/label><label for='ays-answer-465-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-97]' id='ays-answer-466-7' value='466'\/>\n\n                <label for='ays-answer-466-7' class='  ays_position_initial  ays-quiz-keyboard-label'>10<\/label><label for='ays-answer-466-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-97]' id='ays-answer-467-7' value='467'\/>\n\n                <label for='ays-answer-467-7' class='  ays_position_initial  ays-quiz-keyboard-label'>13<\/label><label for='ays-answer-467-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-97]' id='ays-answer-468-7' value='468'\/>\n\n                <label for='ays-answer-468-7' class='  ays_position_initial  ays-quiz-keyboard-label'>15<\/label><label for='ays-answer-468-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-97]' id='ays-answer-469-7' value='469'\/>\n\n                <label for='ays-answer-469-7' class='  ays_position_initial  ays-quiz-keyboard-label'>16<\/label><label for='ays-answer-469-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['97'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"48\" data-end=\"128\"><span style=\"color: #808080\"><em>Let\u2019s write down the numbers each elf says could be the number of cookies eaten:<\/em><\/span><\/p>\n<ul data-start=\"131\" data-end=\"251\">\n<li data-start=\"131\" data-end=\"156\">\n<p data-start=\"133\" data-end=\"156\"><span style=\"color: #808080\"><em><strong data-start=\"133\" data-end=\"146\">Waldemar:<\/strong> 4, 5, 6<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"159\" data-end=\"186\">\n<p data-start=\"161\" data-end=\"186\"><span style=\"color: #808080\"><em><strong data-start=\"161\" data-end=\"171\">Tarel:<\/strong> 8, 9, 10, 11<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"189\" data-end=\"218\">\n<p data-start=\"191\" data-end=\"218\"><span style=\"color: #808080\"><em><strong data-start=\"191\" data-end=\"201\">Nisse:<\/strong> 12, 13, 14, 15<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"221\" data-end=\"247\">\n<p data-start=\"223\" data-end=\"247\"><span style=\"color: #808080\"><em><strong data-start=\"223\" data-end=\"234\">Funkel:<\/strong> 15, 16, 17<\/em><\/span><\/p>\n<\/li>\n<\/ul>\n<p data-start=\"254\" data-end=\"387\"><span style=\"color: #808080\"><em>We are told that <strong data-start=\"271\" data-end=\"311\">only two elves are telling the truth<\/strong>.<\/em><\/span><br data-start=\"312\" data-end=\"315\" \/><span style=\"color: #808080\"><em>So the real number of cookies must be said by <strong data-start=\"363\" data-end=\"384\">exactly two elves<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"394\" data-end=\"550\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>The only number that appears <strong data-start=\"423\" data-end=\"432\">twice<\/strong> is <strong data-start=\"436\" data-end=\"442\">15<\/strong>.<\/em><\/span><br data-start=\"443\" data-end=\"446\" \/><span style=\"color: #808080\"><em>That means <strong data-start=\"459\" data-end=\"468\">Nisse<\/strong> and <strong data-start=\"473\" data-end=\"483\">Funkel<\/strong> are telling the truth, and <strong data-start=\"511\" data-end=\"523\">Waldemar<\/strong> and <strong data-start=\"528\" data-end=\"537\">Tarel<\/strong> are not.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"48\" data-end=\"128\"><span style=\"color: #808080\"><em>Let\u2019s write down the numbers each elf says could be the number of cookies eaten:<\/em><\/span><\/p>\n<ul data-start=\"131\" data-end=\"251\">\n<li data-start=\"131\" data-end=\"156\">\n<p data-start=\"133\" data-end=\"156\"><span style=\"color: #808080\"><em><strong data-start=\"133\" data-end=\"146\">Waldemar:<\/strong> 4, 5, 6<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"159\" data-end=\"186\">\n<p data-start=\"161\" data-end=\"186\"><span style=\"color: #808080\"><em><strong data-start=\"161\" data-end=\"171\">Tarel:<\/strong> 8, 9, 10, 11<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"189\" data-end=\"218\">\n<p data-start=\"191\" data-end=\"218\"><span style=\"color: #808080\"><em><strong data-start=\"191\" data-end=\"201\">Nisse:<\/strong> 12, 13, 14, 15<\/em><\/span><\/p>\n<\/li>\n<li data-start=\"221\" data-end=\"247\">\n<p data-start=\"223\" data-end=\"247\"><span style=\"color: #808080\"><em><strong data-start=\"223\" data-end=\"234\">Funkel:<\/strong> 15, 16, 17<\/em><\/span><\/p>\n<\/li>\n<\/ul>\n<p data-start=\"254\" data-end=\"387\"><span style=\"color: #808080\"><em>We are told that <strong data-start=\"271\" data-end=\"311\">only two elves are telling the truth<\/strong>.<\/em><\/span><br data-start=\"312\" data-end=\"315\" \/><span style=\"color: #808080\"><em>So the real number of cookies must be said by <strong data-start=\"363\" data-end=\"384\">exactly two elves<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"394\" data-end=\"550\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>The only number that appears <strong data-start=\"423\" data-end=\"432\">twice<\/strong> is <strong data-start=\"436\" data-end=\"442\">15<\/strong>.<\/em><\/span><br data-start=\"443\" data-end=\"446\" \/><span style=\"color: #808080\"><em>That means <strong data-start=\"459\" data-end=\"468\">Nisse<\/strong> and <strong data-start=\"473\" data-end=\"483\">Funkel<\/strong> are telling the truth, and <strong data-start=\"511\" data-end=\"523\">Waldemar<\/strong> and <strong data-start=\"528\" data-end=\"537\">Tarel<\/strong> are not.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='98' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>20 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>20. <\/p>\n<p style=\"text-align: left\">Aunt Frieda has five star-shaped cookie cutters with 5, 7, 8, 9, and 10 points for her hazelnut stars. To decorate them, she piped icing onto the stars in fine lines using a piping bag. For four of the stars, Aunt Frieda started at one tip and decorated the stars with straight lines from tip to tip without stopping even once. For one of the 5-pointed stars, however, she had to put down the piping bag while decorating and start again at another tip. Which one?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-98]' id='ays-answer-470-7' value='470'\/>\n\n                <label for='ays-answer-470-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>A<\/label><label for='ays-answer-470-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/5-2-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-98]' id='ays-answer-471-7' value='471'\/>\n\n                <label for='ays-answer-471-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>B<\/label><label for='ays-answer-471-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/6-1-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-98]' id='ays-answer-472-7' value='472'\/>\n\n                <label for='ays-answer-472-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>C<\/label><label for='ays-answer-472-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/7-1-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-98]' id='ays-answer-473-7' value='473'\/>\n\n                <label for='ays-answer-473-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>D<\/label><label for='ays-answer-473-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/8-2-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-98]' id='ays-answer-474-7' value='474'\/>\n\n                <label for='ays-answer-474-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>E<\/label><label for='ays-answer-474-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/9-2-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['98'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"48\" data-end=\"219\"><span style=\"color: #808080\"><em>To solve this puzzle, it\u2019s best to use a <strong data-start=\"89\" data-end=\"107\">colored pencil<\/strong>.<\/em><\/span><br data-start=\"108\" data-end=\"111\" \/><span style=\"color: #808080\"><em>Start at <strong data-start=\"122\" data-end=\"147\">one point of the star<\/strong> and follow the <strong data-start=\"163\" data-end=\"178\">icing lines<\/strong> in straight lines from point to point.<\/em><\/span><\/p>\n<p data-start=\"226\" data-end=\"300\"><span style=\"color: #808080\"><em>Only for the <strong data-start=\"239\" data-end=\"261\">9-pointed star (D)<\/strong> do you need to <strong data-start=\"277\" data-end=\"297\">lift your pencil<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"307\" data-end=\"513\"><span style=\"color: #808080\"><em>The pictures show one possible order for connecting the points.<\/em><\/span><br data-start=\"370\" data-end=\"373\" \/><span style=\"color: #808080\"><em>Start at <strong data-start=\"384\" data-end=\"389\">1<\/strong>, then draw to <strong data-start=\"404\" data-end=\"409\">2<\/strong>, then to <strong data-start=\"419\" data-end=\"424\">3<\/strong>, and so on.<\/em><\/span><br data-start=\"436\" data-end=\"439\" \/><span style=\"color: #808080\"><em>When you reach the <strong data-start=\"460\" data-end=\"478\">highest number<\/strong>, connect it back to <strong data-start=\"499\" data-end=\"510\">point 1<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"307\" data-end=\"513\"><span style=\"color: #808080\"><em><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63919\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-20a-610x406.png\" alt=\"\" width=\"610\" height=\"406\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-20a.png 610w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-20a-300x200.png 300w\" sizes=\"auto, (max-width: 610px) 100vw, 610px\" \/><\/em><\/span><\/p>\n<p data-start=\"520\" data-end=\"658\"><span style=\"color: #808080\"><em>No matter which point you start with on the <strong data-start=\"564\" data-end=\"582\">9-pointed star<\/strong>, you always get <strong data-start=\"599\" data-end=\"613\">a triangle<\/strong> when you come back to your starting point.<\/em><\/span><\/p>\n<p data-start=\"665\" data-end=\"738\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>The lines on the <strong data-start=\"682\" data-end=\"700\">9-pointed star<\/strong> make <strong data-start=\"706\" data-end=\"725\">three triangles<\/strong> in total.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"48\" data-end=\"219\"><span style=\"color: #808080\"><em>To solve this puzzle, it\u2019s best to use a <strong data-start=\"89\" data-end=\"107\">colored pencil<\/strong>.<\/em><\/span><br data-start=\"108\" data-end=\"111\" \/><span style=\"color: #808080\"><em>Start at <strong data-start=\"122\" data-end=\"147\">one point of the star<\/strong> and follow the <strong data-start=\"163\" data-end=\"178\">icing lines<\/strong> in straight lines from point to point.<\/em><\/span><\/p>\n<p data-start=\"226\" data-end=\"300\"><span style=\"color: #808080\"><em>Only for the <strong data-start=\"239\" data-end=\"261\">9-pointed star (D)<\/strong> do you need to <strong data-start=\"277\" data-end=\"297\">lift your pencil<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"307\" data-end=\"513\"><span style=\"color: #808080\"><em>The pictures show one possible order for connecting the points.<\/em><\/span><br data-start=\"370\" data-end=\"373\" \/><span style=\"color: #808080\"><em>Start at <strong data-start=\"384\" data-end=\"389\">1<\/strong>, then draw to <strong data-start=\"404\" data-end=\"409\">2<\/strong>, then to <strong data-start=\"419\" data-end=\"424\">3<\/strong>, and so on.<\/em><\/span><br data-start=\"436\" data-end=\"439\" \/><span style=\"color: #808080\"><em>When you reach the <strong data-start=\"460\" data-end=\"478\">highest number<\/strong>, connect it back to <strong data-start=\"499\" data-end=\"510\">point 1<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"307\" data-end=\"513\"><span style=\"color: #808080\"><em><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63919\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-20a-610x406.png\" alt=\"\" width=\"610\" height=\"406\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-20a.png 610w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-20a-300x200.png 300w\" sizes=\"auto, (max-width: 610px) 100vw, 610px\" \/><\/em><\/span><\/p>\n<p data-start=\"520\" data-end=\"658\"><span style=\"color: #808080\"><em>No matter which point you start with on the <strong data-start=\"564\" data-end=\"582\">9-pointed star<\/strong>, you always get <strong data-start=\"599\" data-end=\"613\">a triangle<\/strong> when you come back to your starting point.<\/em><\/span><\/p>\n<p data-start=\"665\" data-end=\"738\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>The lines on the <strong data-start=\"682\" data-end=\"700\">9-pointed star<\/strong> make <strong data-start=\"706\" data-end=\"725\">three triangles<\/strong> in total.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='100' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>21 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>21. <\/p>\n<p style=\"text-align: left\">Alexandra has bought a baking book with Christmas recipes. There are all kinds of biscuits, spicy speculoos, and stollen. Everything looks delicious. Alexandra wants to bake almond gingerbread first. She is amazed at how many different gingerbread recipes there are. In her book, the section with gingerbread recipes starts on page 27. The last gingerbread recipes are on page 42. There are two recipes per page. How many gingerbread recipes are there in Alexandra\u2019s baking book?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-100]' id='ays-answer-480-7' value='480'\/>\n\n                <label for='ays-answer-480-7' class='  ays_position_initial  ays-quiz-keyboard-label'>32<\/label><label for='ays-answer-480-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-100]' id='ays-answer-481-7' value='481'\/>\n\n                <label for='ays-answer-481-7' class='  ays_position_initial  ays-quiz-keyboard-label'>33<\/label><label for='ays-answer-481-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-100]' id='ays-answer-482-7' value='482'\/>\n\n                <label for='ays-answer-482-7' class='  ays_position_initial  ays-quiz-keyboard-label'>34<\/label><label for='ays-answer-482-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-100]' id='ays-answer-483-7' value='483'\/>\n\n                <label for='ays-answer-483-7' class='  ays_position_initial  ays-quiz-keyboard-label'>35<\/label><label for='ays-answer-483-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-100]' id='ays-answer-484-7' value='484'\/>\n\n                <label for='ays-answer-484-7' class='  ays_position_initial  ays-quiz-keyboard-label'>36<\/label><label for='ays-answer-484-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['100'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p data-start=\"307\" data-end=\"513\">\n<p data-start=\"48\" data-end=\"136\"><span style=\"color: #808080\"><em>In <strong data-start=\"51\" data-end=\"78\">Alexandra\u2019s recipe book<\/strong>, the gingerbread recipes are on pages<\/em><\/span><br data-start=\"116\" data-end=\"119\" \/><span style=\"color: #808080\"><em><strong data-start=\"121\" data-end=\"133\">27 to 42<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"143\" data-end=\"215\"><span style=\"color: #808080\"><em>That means there are <strong data-start=\"164\" data-end=\"176\">16 pages<\/strong> in total (because 42 \u2212 27 + 1 = 16).<\/em><\/span><\/p>\n<p data-start=\"222\" data-end=\"347\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>Each page has <strong data-start=\"236\" data-end=\"249\">2 recipes<\/strong>, so altogether there are<\/em><\/span><br data-start=\"274\" data-end=\"277\" \/><span style=\"color: #808080\"><em><strong data-start=\"279\" data-end=\"314\">16 \u00d7 2 = 32 gingerbread recipes<\/strong> in Alexandra\u2019s recipe book.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"48\" data-end=\"136\"><span style=\"color: #808080\"><em>In <strong data-start=\"51\" data-end=\"78\">Alexandra\u2019s recipe book<\/strong>, the gingerbread recipes are on pages<\/em><\/span><br data-start=\"116\" data-end=\"119\" \/><span style=\"color: #808080\"><em><strong data-start=\"121\" data-end=\"133\">27 to 42<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"143\" data-end=\"215\"><span style=\"color: #808080\"><em>That means there are <strong data-start=\"164\" data-end=\"176\">16 pages<\/strong> in total (because 42 \u2212 27 + 1 = 16).<\/em><\/span><\/p>\n<p data-start=\"222\" data-end=\"347\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>Each page has <strong data-start=\"236\" data-end=\"249\">2 recipes<\/strong>, so altogether there are<\/em><\/span><br data-start=\"274\" data-end=\"277\" \/><span style=\"color: #808080\"><em><strong data-start=\"279\" data-end=\"314\">16 \u00d7 2 = 32 gingerbread recipes<\/strong> in Alexandra\u2019s recipe book.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='99' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>22 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>22. <\/p>\n<p style=\"text-align: left\">For a winter hike, Kai, Heike, Malte, and Laika took a large bag of Alphabet cookies with them for their break. After they had already nibbled on a few numbers and letters, Kai emptied the bag:<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63920\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-22-558x181.png\" alt=\"\" width=\"558\" height=\"181\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-22.png 558w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-22-300x97.png 300w\" sizes=\"auto, (max-width: 558px) 100vw, 558px\" \/><\/p>\n<p style=\"text-align: left\">\u201cThere are only letters left,\u201d Heike notes. Malte suggests, \u201cCome on, let\u2019s write our names!\u201d Everyone grabs the letters. And it works: the four children can write their names at the same time. In the end, there are a few letters left. \u201cCan we make a word out of these letters?\u201d wonders Laika.<br \/>\nWhat word can be made out of the remaining letters?<\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-99]' id='ays-answer-475-7' value='475'\/>\n\n                <label for='ays-answer-475-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>A<\/label><label for='ays-answer-475-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/10-2-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-99]' id='ays-answer-476-7' value='476'\/>\n\n                <label for='ays-answer-476-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>B<\/label><label for='ays-answer-476-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/11-2-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-99]' id='ays-answer-477-7' value='477'\/>\n\n                <label for='ays-answer-477-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>C<\/label><label for='ays-answer-477-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/12-2-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-99]' id='ays-answer-478-7' value='478'\/>\n\n                <label for='ays-answer-478-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>D<\/label><label for='ays-answer-478-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/13-2-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-99]' id='ays-answer-479-7' value='479'\/>\n\n                <label for='ays-answer-479-7' class='  ays_answer_caption ays_without_after_content  ays-quiz-keyboard-label'>E<\/label><label for='ays-answer-479-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><img src='https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/14-2-300x300.png' alt=''  class='ays-answer-image'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['99'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"48\" data-end=\"191\"><span style=\"color: #808080\"><em>When we color in the letters that appear in the children\u2019s names, one by one,<\/em><\/span><br data-start=\"125\" data-end=\"128\" \/><span style=\"color: #808080\"><em>the letters <strong data-start=\"142\" data-end=\"163\">M, N, K, A, and I<\/strong> are left over at the end.<\/em><\/span><\/p>\n<p data-start=\"198\" data-end=\"263\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>If we rearrange these letters, they spell the word <strong data-start=\"249\" data-end=\"258\">KAMIN<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"198\" data-end=\"263\" data-is-last-node=\"\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63926\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-22a-455x151.png\" alt=\"\" width=\"455\" height=\"151\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-22a.png 455w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-22a-300x100.png 300w\" sizes=\"auto, (max-width: 455px) 100vw, 455px\" \/><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"307\" data-end=\"513\">\n<p data-start=\"48\" data-end=\"191\"><span style=\"color: #808080\"><em>When we color in the letters that appear in the children\u2019s names, one by one,<\/em><\/span><br data-start=\"125\" data-end=\"128\" \/><span style=\"color: #808080\"><em>the letters <strong data-start=\"142\" data-end=\"163\">M, N, K, A, and I<\/strong> are left over at the end.<\/em><\/span><\/p>\n<p data-start=\"198\" data-end=\"263\" data-is-last-node=\"\"><span style=\"color: #808080\"><em>If we rearrange these letters, they spell the word <strong data-start=\"249\" data-end=\"258\">KAMIN<\/strong>.<\/em><\/span><\/p>\n<p data-start=\"198\" data-end=\"263\" data-is-last-node=\"\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63926\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-22a-455x151.png\" alt=\"\" width=\"455\" height=\"151\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-22a.png 455w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-22a-300x100.png 300w\" sizes=\"auto, (max-width: 455px) 100vw, 455px\" \/><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='108' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>23 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>23. Luisa wraps the presents for her family. Everyone gets a few homemade apricot hearts.<br \/>\nHer brother Tobias gets 3 more hearts than her father, and her father gets 2 hearts less than her mother.<br \/>\nThen Luisa\u2019s mother gets<\/p>\n<p style=\"text-align: left\">\n<p style=\"text-align: left\">\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-108]' id='ays-answer-516-7' value='516'\/>\n\n                <label for='ays-answer-516-7' class='  ays_position_initial  ays-quiz-keyboard-label'>2 hearts more than Tobias.<\/label><label for='ays-answer-516-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-108]' id='ays-answer-517-7' value='517'\/>\n\n                <label for='ays-answer-517-7' class='  ays_position_initial  ays-quiz-keyboard-label'>one heart more than Tobias.<\/label><label for='ays-answer-517-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-108]' id='ays-answer-518-7' value='518'\/>\n\n                <label for='ays-answer-518-7' class='  ays_position_initial  ays-quiz-keyboard-label'>the same number of hearts as Tobias.<\/label><label for='ays-answer-518-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-108]' id='ays-answer-519-7' value='519'\/>\n\n                <label for='ays-answer-519-7' class='  ays_position_initial  ays-quiz-keyboard-label'>one heart less than Tobias.<\/label><label for='ays-answer-519-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-108]' id='ays-answer-520-7' value='520'\/>\n\n                <label for='ays-answer-520-7' class='  ays_position_initial  ays-quiz-keyboard-label'>2 hearts less than Tobias.<\/label><label for='ays-answer-520-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['108'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_previous action-button ays-quiz-keyboard-active ' value='Prev' \/>\n                        <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_early_finish action-button ays_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='button' name='next' class=' ays_early_finish action-button ays-quiz-keyboard-active' tabindex='0' value='Finish'\/>\n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                        <input type='button' class='ays_next action-button ays-quiz-keyboard-active ' value='Next' \/>\n                    <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"35\" data-end=\"97\"><em><span style=\"color: #808080\">Luisa\u2019s brother Tobias gets <strong data-start=\"126\" data-end=\"151\">3 more apricot hearts<\/strong> than her father.<\/span><\/em><br data-start=\"168\" data-end=\"171\" \/><em><span style=\"color: #808080\">Luisa\u2019s mother, on the other hand, gets <strong data-start=\"211\" data-end=\"236\">2 more apricot hearts<\/strong> than her father.<\/span><\/em><br data-start=\"253\" data-end=\"256\" \/><em><span style=\"color: #808080\">This means Luisa\u2019s mother gets <strong data-start=\"287\" data-end=\"323\">1 apricot heart less than Tobias<\/strong>.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"98\" data-end=\"326\"><em><span style=\"color: #808080\">Luisa\u2019s brother Tobias gets <strong data-start=\"126\" data-end=\"151\">3 more apricot hearts<\/strong> than her father.<\/span><\/em><br data-start=\"168\" data-end=\"171\" \/><em><span style=\"color: #808080\">Luisa\u2019s mother, on the other hand, gets <strong data-start=\"211\" data-end=\"236\">2 more apricot hearts<\/strong> than her father.<\/span><\/em><br data-start=\"253\" data-end=\"256\" \/><em><span style=\"color: #808080\">This means Luisa\u2019s mother gets <strong data-start=\"287\" data-end=\"323\">1 apricot heart less than Tobias<\/strong>.<\/span><\/em><\/p>\n<p data-start=\"328\" data-end=\"393\">\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ' data-question-id='107' data-type='radio'>\n                    \n                    \n                    <p class='ays-question-counter animated'>24 \/ 24<\/p>\n                    <div class='ays-abs-fs'>\n                        <p class='ays-quiz-question-category-box' style='margin:0!important;text-align:left;'>\n                        <em style='font-style:italic;font-size:0.8em;'>Category:<\/em>\n                        <strong style='font-size:0.8em;'>2025 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>24. <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63947\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-24-702x807.png\" alt=\"\" width=\"702\" height=\"807\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-24.png 702w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-24-261x300.png 261w\" sizes=\"auto, (max-width: 702px) 100vw, 702px\" \/><\/p>\n<p><a href=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/kaenguruadvent_2025_maxi_all_english_24.pdf\" target=\"_blank\" rel=\"noopener\">24 Questions - 2025 Math Kangaroo Advent Calendar MAXI<\/a><\/p>\n\n                            <\/div>\n                            \n                        <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-107]' id='ays-answer-515-7' value='515'\/>\n\n                <label for='ays-answer-515-7' class='  ays_position_initial  ays-quiz-keyboard-label'>&quot;Der Weihnachtsbaum ist gr\u00fcn.&quot; - The Christmas tree is green.<\/label><label for='ays-answer-515-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div>\n            <div class='ays-field ays_list_view_item ays-quiz-keyboard-active' tabindex='0' >\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-107]' id='ays-answer-525-7' value='525'\/>\n\n                <label for='ays-answer-525-7' class='  ays_position_initial  ays-quiz-keyboard-label'>\u201cWeihnachtlichen Nascherei\u201d - Christmas Fun<\/label><label for='ays-answer-525-7' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_7 === 'undefined'){\n                window.quizOptions_7 = [];\n            }\n            window.quizOptions_7['107'] = 'W10=';<\/script><\/div>                        \n                        \n                        \n                        <div class='ays_buttons_div'>\n                            \n                            <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays-quiz-keyboard-active ays_display_none\" tabindex='0'><\/i>\n                            <input type='button' class='ays_previous action-button ays-quiz-keyboard-active '  value='Prev' \/>\n                            <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_finish action-button ays_arrow ays_next_arrow ays-quiz-keyboard-active' tabindex='0'><\/i><input type='submit' name='ays_finish_quiz' class='  ays_next ays_finish action-button ays-quiz-keyboard-active' value='See Result'\/>\n                        <\/div>\n                        \n                        <div class='wrong_answer_text ' style='display:none'>\n                            <p><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"60\" data-end=\"164\"><span style=\"color: #808080\"><em><strong data-start=\"60\" data-end=\"72\">Decoding<\/strong><\/em><\/span><br data-start=\"72\" data-end=\"75\" \/><span style=\"color: #808080\"><em>The solution word of the Kangaroo Advent Calendar was encrypted using Johanna\u2019s method.<\/em><\/span><\/p>\n<p data-start=\"166\" data-end=\"305\"><span style=\"color: #808080\"><em>Here\u2019s how it works: we split the alphabet into two halves. Each letter is replaced by the letter in the same position in the other half.<\/em><\/span><\/p>\n<p data-start=\"307\" data-end=\"337\"><span style=\"color: #808080\"><em>We can picture it like this:<\/em><\/span><\/p>\n<div class=\"contain-inline-size rounded-2xl corner-superellipse\/1.1 relative bg-token-sidebar-surface-primary\">\n<div class=\"sticky top-9\">\n<div class=\"absolute end-0 bottom-0 flex h-9 items-center pe-2\">\n<div class=\"bg-token-bg-elevated-secondary text-token-text-secondary flex items-center gap-4 rounded-sm px-2 font-sans text-xs\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63948\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-24-a-1-626x116.png\" alt=\"\" width=\"626\" height=\"116\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-24-a-1.png 626w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-24-a-1-300x56.png 300w\" sizes=\"auto, (max-width: 626px) 100vw, 626px\" \/><\/div>\n<\/div>\n<\/div>\n<div class=\"overflow-y-auto p-4\" dir=\"ltr\"><\/div>\n<\/div>\n<p data-start=\"402\" data-end=\"509\">\n<p data-start=\"402\" data-end=\"509\"><span style=\"color: #808080\"><em>So, for example, we replace <strong data-start=\"430\" data-end=\"435\">J<\/strong> with <strong data-start=\"441\" data-end=\"446\">W<\/strong>, <strong data-start=\"448\" data-end=\"453\">R<\/strong> with <strong data-start=\"459\" data-end=\"464\">E<\/strong>, <strong data-start=\"466\" data-end=\"471\">V<\/strong> with <strong data-start=\"477\" data-end=\"482\">I<\/strong>, and continue like this.<\/em><\/span><\/p>\n<p data-start=\"511\" data-end=\"527\"><span style=\"color: #808080\"><em>This gives us:<\/em><\/span><\/p>\n<p data-start=\"529\" data-end=\"580\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63949\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-24-a-2-672x70.png\" alt=\"\" width=\"672\" height=\"70\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-24-a-2.png 672w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-24-a-2-300x31.png 300w\" sizes=\"auto, (max-width: 672px) 100vw, 672px\" \/><\/p>\n<p data-start=\"529\" data-end=\"580\"><span style=\"color: #808080\"><em>Means \"Christmas Fun\"<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your solution is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p data-start=\"60\" data-end=\"164\"><span style=\"color: #808080\"><em><strong data-start=\"60\" data-end=\"72\">Decoding<\/strong><\/em><\/span><br data-start=\"72\" data-end=\"75\" \/><span style=\"color: #808080\"><em>The solution word of the Kangaroo Advent Calendar was encrypted using Johanna\u2019s method.<\/em><\/span><\/p>\n<p data-start=\"166\" data-end=\"305\"><span style=\"color: #808080\"><em>Here\u2019s how it works: we split the alphabet into two halves. Each letter is replaced by the letter in the same position in the other half.<\/em><\/span><\/p>\n<p data-start=\"307\" data-end=\"337\"><span style=\"color: #808080\"><em>We can picture it like this:<\/em><\/span><\/p>\n<div class=\"contain-inline-size rounded-2xl corner-superellipse\/1.1 relative bg-token-sidebar-surface-primary\">\n<div class=\"sticky top-9\">\n<div class=\"absolute end-0 bottom-0 flex h-9 items-center pe-2\">\n<div class=\"bg-token-bg-elevated-secondary text-token-text-secondary flex items-center gap-4 rounded-sm px-2 font-sans text-xs\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63948\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-24-a-1-626x116.png\" alt=\"\" width=\"626\" height=\"116\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-24-a-1.png 626w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-24-a-1-300x56.png 300w\" sizes=\"auto, (max-width: 626px) 100vw, 626px\" \/><\/div>\n<\/div>\n<\/div>\n<div class=\"overflow-y-auto p-4\" dir=\"ltr\"><\/div>\n<\/div>\n<p data-start=\"402\" data-end=\"509\">\n<p data-start=\"402\" data-end=\"509\"><span style=\"color: #808080\"><em>So, for example, we replace <strong data-start=\"430\" data-end=\"435\">J<\/strong> with <strong data-start=\"441\" data-end=\"446\">W<\/strong>, <strong data-start=\"448\" data-end=\"453\">R<\/strong> with <strong data-start=\"459\" data-end=\"464\">E<\/strong>, <strong data-start=\"466\" data-end=\"471\">V<\/strong> with <strong data-start=\"477\" data-end=\"482\">I<\/strong>, and continue like this.<\/em><\/span><\/p>\n<p data-start=\"511\" data-end=\"527\"><span style=\"color: #808080\"><em>This gives us:<\/em><\/span><\/p>\n<p data-start=\"529\" data-end=\"580\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-63949\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-24-a-2-672x70.png\" alt=\"\" width=\"672\" height=\"70\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-24-a-2.png 672w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/2025-maxi-24-a-2-300x31.png 300w\" sizes=\"auto, (max-width: 672px) 100vw, 672px\" \/><\/p>\n<p data-start=\"529\" data-end=\"580\"><span style=\"color: #808080\"><em>Means \"Christmas Fun\"<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='ays_questtion_explanation' style='display:none'>\n                            \n                        <\/div>\n                        <div class='ays-quiz-additonal-box'>\n                            \n                        <\/div>   \n                        \n                        \n                    <\/div>\n                <\/div><div class='step ays_thank_you_fs'>\n            <div class='ays-abs-fs ays-end-page'><div data-class='lds-hourglass' data-role='loader' class='ays-loader'><\/div><div class='ays_quiz_results_page'><div class='ays_score_message'><\/div><div class='ays_message'><\/div><p class='ays_score ays_score_display_none animated'>Your score is<\/p><div class='ays-progress third'>\n                <span class='ays-progress-value third'>0%<\/span>\n                <div class='ays-progress-bg third'>\n                    <div class='ays-progress-bar third' style='width:0%;'><\/div>\n                <\/div>\n            <\/div><p class='ays_restart_button_p'><button type='button' class='action-button ays_restart_button ays-quiz-keyboard-active'>\n                    <i class='ays_fa ays_fa_undo'><\/i>\n                    <span>Restart quiz<\/span>\n                <\/button><\/p><\/div>\n            <\/div>\n        <\/div><style>\n            div#ays-quiz-container-7 * {\n                box-sizing: border-box;\n            }\n\n            #ays-quiz-container-7 [id^='ays_finish_quiz_'] div.step div.ays-abs-fs {\n                width: 90%;\n            }\n\n            \/* Styles for Internet Explorer start *\/\n            #ays-quiz-container-7 #ays_finish_quiz_7 {\n                \n            }\n\n            \/* Styles for Quiz container *\/\n            #ays-quiz-container-7{\n                min-height: 450px;\n                width:800px;\n                background-color:#ffffff;\n                background-position:center center;border-radius:8px;box-shadow: 0px 0px 15px  1px rgba(201,201,201,0.4);border-width: 3px;border-style: solid;border-color: #2f3752;}\n\n            \/* Styles for questions *\/\n            #ays-quiz-container-7 #ays_finish_quiz_7 div.step {\n                min-height: 450px;\n            }\n\n            \/* Styles for text inside quiz container *\/\n            #ays-quiz-container-7 .ays-start-page *:not(input):not([class^='enlighter']),\n            #ays-quiz-container-7 .ays_question_hint,\n            #ays-quiz-container-7 label[for^=\"ays-answer-\"],\n            #ays-quiz-container-7 #ays_finish_quiz_7 p,\n            #ays-quiz-container-7 #ays_finish_quiz_7 .ays-fs-title,\n            #ays-quiz-container-7 .ays-fs-subtitle,\n            #ays-quiz-container-7 .logged_in_message,\n            #ays-quiz-container-7 .ays_score_message,\n            #ays-quiz-container-7 .ays_message{\n               color: #000000;\n               outline: none;\n            }\n\n            div#ays-quiz-container-7 .ays_question_hint.ays-quiz-keyboard-active,\n            div#ays-quiz-container-7 .ays_restart_button.ays-quiz-keyboard-active {\n                outline: revert;\n            }\n\n            #ays-quiz-container-7 .ays-quiz-password-message-box,\n            #ays-quiz-container-7 .ays-quiz-question-note-message-box,\n            #ays-quiz-container-7 .ays_quiz_question,\n            #ays-quiz-container-7 .ays-quiz-question-category-box,\n            #ays-quiz-container-7 .ays_quiz_question *:not([class^='enlighter']) {\n                color: #000000;\n            }\n\n            #ays-quiz-container-7 .ays-quiz-question-category-box em {\n                color: #000000;\n            }\n\n            #ays-quiz-container-7 textarea,\n            #ays-quiz-container-7 input::first-letter,\n            #ays-quiz-container-7 select::first-letter,\n            #ays-quiz-container-7 option::first-letter {\n                color: initial !important;\n            }\n            \n            #ays-quiz-container-7 p::first-letter:not(.ays_no_questions_message) {\n                color: #000000 !important;\n                background-color: transparent !important;\n                font-size: inherit !important;\n                font-weight: inherit !important;\n                float: none !important;\n                line-height: inherit !important;\n                margin: 0 !important;\n                padding: 0 !important;\n            }\n            \n            \n            #ays-quiz-container-7 .select2-container,\n            #ays-quiz-container-7 .ays-field * {\n                font-size: 16px !important;\n            }\n    \n            #ays-quiz-container-7 .ays_quiz_question p {\n                font-size: 16px;\n                text-align: inherit;\n            }\n\n            #ays-quiz-container-7 .ays-fs-subtitle p {\n                text-align:  center ;\n            }\n\n            #ays-quiz-container-7 .ays_quiz_question {\n                text-align:  center ;\n                margin-bottom: 10px;\n            }\n\n            #ays-quiz-container-7 .ays_quiz_question pre {\n                max-width: 100%;\n                white-space: break-spaces;\n            }\n\n            \/* Mango theme (Version: 1.4.202301041836) | tid=32449 | Start *\/\n            #ays-quiz-container-7 .ays_quiz_question img {\n                float: unset;\n                margin: 0;\n            }\n            \/* Mango theme (Version: 1.4.202301041836) | End *\/\n\n            #ays-quiz-container-7 .ays-quiz-timer p {\n                font-size: 16px;\n            }\n\n            #ays-quiz-container-7 section.ays_quiz_redirection_timer_container hr,\n            #ays-quiz-container-7 section.ays_quiz_timer_container hr {\n                margin: 0;\n            }\n\n            #ays-quiz-container-7 section.ays_quiz_timer_container.ays_quiz_timer_red_warning .ays-quiz-timer {\n                color: #ff0000;\n            }\n\n            #ays-quiz-container-7 .ays_thank_you_fs p {\n                text-align: center;\n            }\n\n            #ays-quiz-container-7 .ays_quiz_results_page .ays_score span {\n                visibility: visible;\n            }\n\n            #ays-quiz-container-7 input[type='button'],\n            #ays-quiz-container-7 input[type='submit'] {\n                color: #ffffff !important;\n            }\n\n            #ays-quiz-container-7 input[type='button']{\n                outline: none;\n            }\n\n            #ays-quiz-container-7 .information_form input[type='text'],\n            #ays-quiz-container-7 .information_form input[type='url'],\n            #ays-quiz-container-7 .information_form input[type='number'],\n            #ays-quiz-container-7 .information_form input[type='email'],\n            #ays-quiz-container-7 .information_form input[type='checkbox'],\n            #ays-quiz-container-7 .information_form input[type='tel'],\n            #ays-quiz-container-7 .information_form textarea,\n            #ays-quiz-container-7 .information_form select,\n            #ays-quiz-container-7 .information_form option {\n                color: initial !important;\n                outline: none;\n                background-image: unset;\n            }\n\n            #ays-quiz-container-7 .wrong_answer_text{\n                color:#ff4d4d;\n            }\n            #ays-quiz-container-7 .right_answer_text{\n                color:#33cc33;\n            }\n\n            #ays-quiz-container-7 .wrong_answer_text p {\n                font-size:16px;\n            }\n\n            #ays-quiz-container-7 .ays_questtion_explanation p {\n                font-size:16px;\n            }\n\n            #ays-quiz-container-7 .wrong_answer_text *:not(strong) {\n                text-transform:none;\n                text-decoration: none;\n                letter-spacing: 0px;\n                font-weight: normal;\n            }\n\n            #ays-quiz-container-7 .ays_questtion_explanation *:not(strong) {\n                text-transform:none;\n                text-decoration: none;\n                letter-spacing: 0px;\n                font-weight: normal;\n            }\n\n            #ays-quiz-container-7 .right_answer_text *:not(strong) {\n                text-transform:none;\n                text-decoration: none;\n                letter-spacing: 0px;\n                font-weight: normal;\n            }\n\n            #ays-quiz-container-7 .right_answer_text p {\n                font-size:16px;\n            }\n\n            #ays-quiz-container-7 .ays-quiz-question-note-message-box p {\n                font-size:14px;\n            }\n\n            #ays-quiz-container-7 .ays-quiz-question-note-message-box *:not(strong) {\n                text-transform:none;\n                text-decoration: none;\n                letter-spacing: 0px;\n                font-weight: normal;\n            }\n            \n            #ays-quiz-container-7 .ays_cb_and_a,\n            #ays-quiz-container-7 .ays_cb_and_a * {\n                color: rgb(0,0,0);\n                text-align: center;\n            }\n\n            \/* Quiz textarea height *\/\n            #ays-quiz-container-7 textarea {\n                height: 100px;\n                min-height: 100px;\n            }\n\n            \/* Quiz rate and passed users count *\/\n            #ays-quiz-container-7 .ays_quizn_ancnoxneri_qanak,\n            #ays-quiz-container-7 .ays_quiz_rete_avg {\n                color:#ffffff !important;\n                background-color:#000000;   \n            }\n\n            #ays-quiz-container-7 .ays-questions-container > .ays_quizn_ancnoxneri_qanak {\n                padding: 5px 20px;\n            }\n            #ays-quiz-container-7 div.for_quiz_rate.ui.star.rating .icon {\n                color: rgba(0,0,0,0.35);\n            }\n            #ays-quiz-container-7 .ays_quiz_rete_avg div.for_quiz_rate_avg.ui.star.rating .icon {\n                color: rgba(255,255,255,0.5);\n            }\n\n            #ays-quiz-container-7 .ays_quiz_rete .ays-quiz-rate-link-box .ays-quiz-rate-link {\n                color: #000000;\n            }\n\n            \/* Loaders *\/            \n            #ays-quiz-container-7 div.lds-spinner,\n            #ays-quiz-container-7 div.lds-spinner2 {\n                color: #000000;\n            }\n            #ays-quiz-container-7 div.lds-spinner div:after,\n            #ays-quiz-container-7 div.lds-spinner2 div:after {\n                background-color: #000000;\n            }\n            #ays-quiz-container-7 .lds-circle,\n            #ays-quiz-container-7 .lds-facebook div,\n            #ays-quiz-container-7 .lds-ellipsis div{\n                background: #000000;\n            }\n            #ays-quiz-container-7 .lds-ripple div{\n                border-color: #000000;\n            }\n            #ays-quiz-container-7 .lds-dual-ring::after,\n            #ays-quiz-container-7 .lds-hourglass::after{\n                border-color: #000000 transparent #000000 transparent;\n            }\n\n            \/* Stars *\/\n            #ays-quiz-container-7 .ui.rating .icon,\n            #ays-quiz-container-7 .ui.rating .icon:before {\n                font-family: Rating !important;\n            }\n\n            \/* Progress bars *\/\n            #ays-quiz-container-7 #ays_finish_quiz_7 .ays-progress {\n                border-color: rgba(0,0,0,0.8);\n            }\n            #ays-quiz-container-7 #ays_finish_quiz_7 .ays-progress-bg {\n                background-color: rgba(0,0,0,0.3);\n            }\n            #ays-quiz-container-7 . {\n                background-color: #5d6cf9;\n            }\n            #ays-quiz-container-7 . {\n                background-color: #000000;\n            }    \n            #ays-quiz-container-7 .ays-progress-value {\n                color: #000000;\n                text-align: center;\n            }\n            #ays-quiz-container-7 .ays-progress-bar {\n                background-color: #5d6cf9;\n            }\n            #ays-quiz-container-7 .ays-question-counter .ays-live-bar-wrap {\n                direction:ltr !important;\n            }\n            #ays-quiz-container-7 .ays-live-bar-fill{\n                color: #000000;\n                border-bottom: 2px solid rgba(0,0,0,0.8);\n                text-shadow: 0px 0px 5px #ffffff;\n            }\n            #ays-quiz-container-7 .ays-live-bar-fill.ays-live-fourth,\n            #ays-quiz-container-7 .ays-live-bar-fill.ays-live-third,\n            #ays-quiz-container-7 .ays-live-bar-fill.ays-live-second {\n                text-shadow: unset;\n            }\n            #ays-quiz-container-7 .ays-live-bar-percent{\n                display:none;\n            }\n            #ays-quiz-container-7 #ays_finish_quiz_7 .ays_average {\n                text-align: center;\n            }\n            \n            \/* Music, Sound *\/\n            #ays-quiz-container-7 .ays_music_sound {\n                color:rgb(0,0,0);\n            }\n\n            \/* Dropdown questions scroll bar *\/\n            #ays-quiz-container-7 blockquote {\n                border-left-color: #000000 !important;                                      \n            }\n\n            \/* Quiz Password *\/\n            #ays-quiz-container-7 .ays-start-page > input[id^='ays_quiz_password_val_'],\n            #ays-quiz-container-7 .ays-quiz-password-toggle-visibility-box {\n                width: 100%;\n            }\n\n\n            \/* Question hint *\/\n            #ays-quiz-container-7 .ays_question_hint_container .ays_question_hint_text {\n                background-color:#ffffff;\n                box-shadow: 0 0 15px 3px rgba(201,201,201,0.6);\n                max-width: 270px;\n            }\n\n            #ays-quiz-container-7 .ays_question_hint_container .ays_question_hint_text p {\n                max-width: unset;\n            }\n\n            #ays-quiz-container-7 .ays-quiz-additonal-box {\n                display: flex;\n                justify-content: flex-end;\n                align-items: center;\n                position: relative;  \n            }\n\n            #ays-quiz-container-7 .ays_questions_hint_max_width_class {\n                max-width: 80%;\n            }\n\n            \/* Information form *\/\n            #ays-quiz-container-7 .ays-form-title{\n                color:rgb(0,0,0);\n            }\n\n            \/* Quiz timer *\/\n            #ays-quiz-container-7 div.ays-quiz-redirection-timer,\n            #ays-quiz-container-7 div.ays-quiz-timer{\n                color: #000000;\n                text-align: center;\n            }\n\n            #ays-quiz-container-7 div.ays-quiz-timer.ays-quiz-message-before-timer:before {\n                font-weight: 500;\n            }\n\n            \/* Quiz title \/ transformation *\/\n            #ays-quiz-container-7 .ays-fs-title{\n                text-transform: uppercase;\n                font-size: 28px;\n                text-align: center;\n                    text-shadow: none;\n            }\n            \n            \/* Quiz buttons *\/\n            #ays-quiz-container-7 .ays_arrow {\n                color:#ffffff!important;\n            }\n            #ays-quiz-container-7 input#ays-submit,\n            #ays-quiz-container-7 #ays_finish_quiz_7 .action-button,\n            div#ays-quiz-container-7 #ays_finish_quiz_7 .action-button.ays_restart_button,\n            #ays-quiz-container-7 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn,\n            #ays-quiz-container-7 .ays-quiz-category-selective-submit-bttn {\n                background: none;\n                background-color: #5d6cf9;\n                color:#ffffff;\n                font-size: 18px;\n                padding: 14px 36px;\n                border-radius: 8px;\n                height: auto;\n                letter-spacing: 0;\n                box-shadow: unset;\n                width: auto;\n                \/* border: unset; *\/\n                min-height: unset;\n                line-height: normal;\n                text-shadow: unset;\n            }\n            #ays-quiz-container-7 input#ays-submit,\n            #ays-quiz-container-7 #ays_finish_quiz_7 input.action-button,\n            #ays-quiz-container-7 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn,\n            #ays-quiz-container-7 .ays-quiz-category-selective-submit-bttn {\n                \n            }\n\n            #ays-quiz-container-7 #ays_finish_quiz_7 .action-button.ays_check_answer {\n                padding: 5px 10px;\n                font-size: 18px !important;\n            }\n            #ays-quiz-container-7 #ays_finish_quiz_7 .action-button.ays_restart_button {\n                white-space: nowrap;\n                padding: 5px 10px;\n                white-space: normal;\n            }\n            #ays-quiz-container-7 input#ays-submit:hover,\n            #ays-quiz-container-7 input#ays-submit:focus,\n            #ays-quiz-container-7 #ays_finish_quiz_7 .action-button:hover,\n            #ays-quiz-container-7 #ays_finish_quiz_7 .action-button:focus,\n            #ays-quiz-container-7 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn:hover,\n            #ays-quiz-container-7 .ays-quiz-category-selective-submit-bttn:hover {\n                background: none;\n                box-shadow: 0 0 0 2px #ffffff;\n                background-color: #5d6cf9;\n            }\n            #ays-quiz-container-7 .ays_restart_button {\n                color: #ffffff;\n            }\n            \n            #ays-quiz-container-7 .ays_restart_button_p,\n            #ays-quiz-container-7 .ays_buttons_div {\n                justify-content: center;\n            }\n\n            #ays-quiz-container-7 .ays_finish.action-button{\n                margin: 10px 5px;\n            }\n\n            #ays-quiz-container-7 .ays-share-btn.ays-share-btn-branded {\n                color: #fff;\n                display: inline-block;\n            }\n\n            #ays-quiz-container-7 .ays_quiz_results .ays-field.checked_answer_div.correct_div input:checked+label {\n                background-color: transparent;\n            }\n                        \n            \/* Question answers *\/\n            #ays-quiz-container-7 .ays-field {\n                    border-color: #dddddd;\n                    border-style: solid;\n                    border-width: 1px;\n                    box-shadow: none;flex-direction: row-reverse;\n            }\n            \n\n            \/* Answer maximum length of a text field *\/\n            #ays-quiz-container-7 .ays_quiz_question_text_message{\n                color: #000000;\n                text-align: left;\n                font-size: 12px;\n            }\n\n            div#ays-quiz-container-7 div.ays_quiz_question_text_error_message {\n                color: #ff0000;\n            }\n\n            \/* Questions answer image *\/\n            #ays-quiz-container-7 .ays-answer-image {\n                width:15em;\n                height:150px;\n                object-fit: cover;\n            }\n            \n            #ays-quiz-container-7 .ays-quiz-answers .ays-field:hover:not(.ays-answered-text-input){\n                opacity: 1;\n            }\n            #ays-quiz-container-7 #ays_finish_quiz_7 .ays-field label.ays_answer_caption[for^='ays-answer-'] {\n                z-index: 1;\n                position:initial;bottom:0;}\n            #ays-quiz-container-7 #ays_finish_quiz_7 .ays-field input~label[for^='ays-answer-'] {\n                padding: 5px;\n            }\n\n            #ays-quiz-container-7 #ays_finish_quiz_7 .ays-field {\n                margin-bottom: 12px;\n            }\n            #ays-quiz-container-7 #ays_finish_quiz_7 .ays-field.ays_grid_view_item {\n                width: calc(50% - 6px);\n            }\n            #ays-quiz-container-7 #ays_finish_quiz_7 .ays-field.ays_grid_view_item:nth-child(odd) {\n                margin-right: 6px;\n            }\n            \n            #ays-quiz-container-7 #ays_finish_quiz_7 .ays-field input:checked+label:before {\n                border-color: #5d6cf9;\n                background: #5d6cf9;\n                background-clip: content-box;\n            }\n            #ays-quiz-container-7 .ays-quiz-answers div.ays-text-right-answer {\n                color: #000000;\n            }\n                        \n            \/* Questions answer right\/wrong icons *\/\n            #ays-quiz-container-7 .ays-field input~label.answered.correct:after{\n                content: '';          }\n            #ays-quiz-container-7 .ays-field input~label.answered.wrong:after{\n                content: '';\n            }\n            #ays-quiz-container-7 .ays-field label.answered:last-of-type:after{\n                display: none;\n                height: auto;\n                left: 10px;top: 10px;}\n            \/* Dropdown questions *\/            \n            #ays-quiz-container-7 #ays_finish_quiz_7 .ays-field .select2-container--default .select2-selection--single {\n                border-bottom: 2px solid #5d6cf9;\n                background-color: #5d6cf9;\n            }\n            \n            #ays-quiz-container-7 .ays-field .select2-container--default .select2-selection--single .select2-selection__placeholder,\n            #ays-quiz-container-7 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered,\n            #ays-quiz-container-7 .ays-field .select2-container--default .select2-selection--single .select2-selection__arrow {\n                color: #ffffff;\n            }\n\n            #ays-quiz-container-7 .select2-container--default .select2-search--dropdown .select2-search__field:focus,\n            #ays-quiz-container-7 .select2-container--default .select2-search--dropdown .select2-search__field {\n                outline: unset;\n                padding: 0.75rem;\n            }\n\n            #ays-quiz-container-7 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered,\n            #ays-quiz-container-7 .select2-container--default .select2-results__option--highlighted[aria-selected] {\n                background-color: #5d6cf9;\n            }\n\n            #ays-quiz-container-7 .ays-field .select2-container--default,\n            #ays-quiz-container-7 .ays-field .select2-container--default .selection,\n            #ays-quiz-container-7 .ays-field .select2-container--default .dropdown-wrapper,\n            #ays-quiz-container-7 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered,\n            #ays-quiz-container-7 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered .select2-selection__placeholder,\n            #ays-quiz-container-7 .ays-field .select2-container--default .select2-selection--single .select2-selection__arrow,\n            #ays-quiz-container-7 .ays-field .select2-container--default .select2-selection--single .select2-selection__arrow b[role='presentation'] {\n                font-size: 16px !important;\n            }\n\n            #ays-quiz-container-7 .select2-container--default .select2-results__option {\n                padding: 6px;\n            }\n            \n            \/* Dropdown questions scroll bar *\/\n            #ays-quiz-container-7 .select2-results__options::-webkit-scrollbar {\n                width: 7px;\n            }\n            #ays-quiz-container-7 .select2-results__options::-webkit-scrollbar-track {\n                background-color: rgba(255,255,255,0.35);\n            }\n            #ays-quiz-container-7 .select2-results__options::-webkit-scrollbar-thumb {\n                transition: .3s ease-in-out;\n                background-color: rgba(0,0,0,0.55);\n            }\n            #ays-quiz-container-7 .select2-results__options::-webkit-scrollbar-thumb:hover {\n                transition: .3s ease-in-out;\n                background-color: rgba(0,0,0,0.85);\n            }\n\n            \/* Audio \/ Video *\/\n            #ays-quiz-container-7 .mejs-container .mejs-time{\n                box-sizing: unset;\n            }\n            #ays-quiz-container-7 .mejs-container .mejs-time-rail {\n                padding-top: 15px;\n            }\n\n            #ays-quiz-container-7 .mejs-container .mejs-mediaelement video {\n                margin: 0;\n            }\n\n            \/* Limitation *\/\n            #ays-quiz-container-7 .ays-quiz-limitation-count-of-takers {\n                padding: 50px;\n            }\n\n            #ays-quiz-container-7 div.ays-quiz-results-toggle-block span.ays-show-res-toggle.ays-res-toggle-show,\n            #ays-quiz-container-7 div.ays-quiz-results-toggle-block span.ays-show-res-toggle.ays-res-toggle-hide{\n                color: #000000;\n            }\n\n            #ays-quiz-container-7 div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle {\n                border: 1px solid #000000;\n            }\n\n            #ays-quiz-container-7 div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle {\n                border: 1px solid #000000;\n            }\n\n            #ays-quiz-container-7 div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle:after{\n                background: #000000;\n            }\n\n            #ays-quiz-container-7.ays_quiz_elegant_dark div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle:after,\n            #ays-quiz-container-7.ays_quiz_rect_dark div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle:after{\n                background: #000;\n            }\n\n            \/* Hestia theme (Version: 3.0.16) | Start *\/\n            #ays-quiz-container-7 .mejs-container .mejs-inner .mejs-controls .mejs-button > button:hover,\n            #ays-quiz-container-7 .mejs-container .mejs-inner .mejs-controls .mejs-button > button {\n                box-shadow: unset;\n                background-color: transparent;\n            }\n            #ays-quiz-container-7 .mejs-container .mejs-inner .mejs-controls .mejs-button > button {\n                margin: 10px 6px;\n            }\n            \/* Hestia theme (Version: 3.0.16) | End *\/\n\n            \/* Go theme (Version: 1.4.3) | Start *\/\n            #ays-quiz-container-7 label[for^='ays-answer']:before,\n            #ays-quiz-container-7 label[for^='ays-answer']:before {\n                -webkit-mask-image: unset;\n                mask-image: unset;\n            }\n\n            #ays-quiz-container-7.ays_quiz_classic_light .ays-field input:checked+label.answered.correct:before,\n            #ays-quiz-container-7.ays_quiz_classic_dark .ays-field input:checked+label.answered.correct:before {\n                background-color: #5d6cf9 !important;\n                background-color: rgba(39,174,96, 1) !important;\n            }\n            \/* Go theme (Version: 1.4.3) | End *\/\n\n            #ays-quiz-container-7 .ays_quiz_results fieldset.ays_fieldset .ays_quiz_question .wp-video {\n                width: 100% !important;\n                max-width: 100%;\n            }\n\n            \/* Classic Dark \/ Classic Light *\/\n            \/* Dropdown questions right\/wrong styles *\/\n            #ays-quiz-container-7.ays_quiz_classic_dark .correct_div,\n            #ays-quiz-container-7.ays_quiz_classic_light .correct_div{\n                border-color:green !important;\n                opacity: 1 !important;\n                background-color: rgba(39,174,96,0.4) !important;\n            }\n            #ays-quiz-container-7.ays_quiz_classic_dark .correct_div .selected-field,\n            #ays-quiz-container-7.ays_quiz_classic_light .correct_div .selected-field {\n                padding: 0px 10px 0px 10px;\n                color: green !important;\n            }\n\n            #ays-quiz-container-7.ays_quiz_classic_dark .wrong_div,\n            #ays-quiz-container-7.ays_quiz_classic_light .wrong_div{\n                border-color:red !important;\n                opacity: 1 !important;\n                background-color: rgba(243,134,129,0.4) !important;\n            }\n            #ays-quiz-container-7.ays_quiz_classic_dark .ays-field.checked_answer_div.wrong_div input:checked~label,\n            #ays-quiz-container-7.ays_quiz_classic_light .ays-field.checked_answer_div.wrong_div input:checked~label {\n                background-color: rgba(243,134,129,0.4) !important;\n            }\n            #ays-quiz-container-7.ays_quiz_classic_dark .ays-field,\n            #ays-quiz-container-7.ays_quiz_classic_light .ays-field {\n                text-align: left;\n                \/*margin-bottom: 10px;*\/\n                padding: 0;\n                transition: .3s ease-in-out;\n            }\n\n            #ays-quiz-container-7 .ays-quiz-close-full-screen {\n                fill: #000000;\n            }\n\n            #ays-quiz-container-7 .ays-quiz-open-full-screen {\n                fill: #000000;\n            }\n\n            #ays-quiz-container-7 .ays_quiz_login_form p{\n                color: #000000;\n            }\n\n            \/* report questions modal start *\/\n            .ays-modal-reports {\n                display: none;\n                position: fixed;\n                z-index: 9999;\n                left: 0;\n                top: 0;\n                width: 100%;\n                height: 100%;\n                overflow: auto;\n                background-color: rgba(0, 0, 0, 0.4);\n                animation-duration: .5s;\n                background-color: rgba(0, 0, 0, 0.4);\n            }\n\n            #ays-quiz-question-report-modal-7 .ays-modal-content-reports {\n                background-color: #fefefe;\n                margin: 10% auto;\n                border: 1px solid #888;\n                max-width: 500px;\n                width: 100%;\n                border-radius: 10px;\n                padding: 20px;\n                box-sizing: border-box;\n                position: relative;\n            }\n\n            #ays-quiz-question-report-modal-7 .ays-modal-content-reports label{\n                display: block;\n                margin-bottom: 10px;\n                font-weight: bold;\n                letter-spacing: normal;\n            }\n\n            #ays-quiz-question-report-modal-7 .ays-modal-content-reports textarea {\n                display: block;\n                width: 100%;\n                height: 100px;\n                padding: 5px;\n                box-sizing: border-box;\n                border-radius: 5px;\n                border: 1px solid #ccc;\n                max-width: 100%;\n                max-height: 500px;\n                resize: vertical;\n                transition: unset;\n            }\n\n            #ays-quiz-question-report-modal-7 .ays-modal-content-reports input.ays-quiz-submit-question-report {\n                background-color: #0073aa;\n                color: #fff !important;\n                border: none;\n                border-radius: 5px;\n                padding: 10px 20px;\n                cursor: pointer;\n                margin-top: 20px;\n                line-height: normal;\n                letter-spacing: normal;\n                box-shadow: unset;\n                background-image: unset;\n            }\n\n            #ays-quiz-question-report-modal-7 .ays-close-reports-window {\n                color: #aaa;\n                font-weight: bold;\n                position: absolute;\n                top: 1%;\n                right: 1%;\n            }\n\n            #ays-quiz-question-report-modal-7 .ays-close-reports-window img {\n                box-shadow: unset;\n            }\n            \n            #ays-quiz-question-report-modal-7 .ays-quiz-preloader img {\n                box-shadow: unset;\n            }\n\n            #ays-quiz-question-report-modal-7 .ays-close-reports-window img:hover,\n            #ays-quiz-question-report-modal-7 .ays-close-reports-window img:focus {\n                cursor: pointer;\n            }\n\n            #ays-quiz-question-report-modal-7 .ays-quiz-question-report-error {\n                display: none;\n                font-size: 13px;\n                color: #f00;\n                text-align: left;\n            }\n\n            #ays-quiz-question-report-modal-7 .ays-quiz-question-report-textarea-label,\n            #ays-quiz-question-report-modal-7 .ays-quiz-question-report-title {\n                text-align: left;\n            }\n\n            #ays-quiz-question-report-modal-7 .ays_quiz_modal_overlay {\n                width: 100%;\n                height: 100%;\n                position: fixed;\n                top: 0;\n                left: 0;\n                position: absolute;\n                z-index: 1000000000;\n                flex-direction: column;\n            }\n\n            #ays-quiz-question-report-modal-7 .ays-quiz-container .ays-quiz-user-c\u0570oosing-anonymous-assessment {\n                margin: 10px 0;\n            }\n\n            \/* report questions modal end *\/\n\n            @media screen and (max-width: 768px){\n                #ays-quiz-container-7{\n                    max-width: 100%;\n                }\n\n                div#ays-quiz-container-7 [id^='ays_finish_quiz_'] div.step div.ays-abs-fs {\n                    width: 90%;\n                }\n\n                #ays-quiz-container-7 .ays_quiz_question p {\n                    font-size: 16px;\n                }\n\n                #ays-quiz-container-7 .select2-container,\n                #ays-quiz-container-7 .ays-field * {\n                    font-size: 15px !important;\n                }\n\n                div#ays-quiz-container-7 input#ays-submit,\n                div#ays-quiz-container-7 #ays_finish_quiz_7 .action-button,\n                div#ays-quiz-container-7 #ays_finish_quiz_7 .action-button.ays_restart_button,\n                #ays-quiz-container-7 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn,\n                #ays-quiz-container-7 .ays-quiz-category-selective-submit-bttn {\n                    font-size: 18px;\n                }\n\n                \/* Quiz title \/ mobile font size *\/\n                div#ays-quiz-container-7 .ays-fs-title {\n                    font-size: 20px;\n                }\n\n                \/* Question explanation \/ mobile font size *\/\n                #ays-quiz-container-7 .ays_questtion_explanation p {\n                    font-size:16px;\n                }\n\n                \/* Wrong answers \/ mobile font size *\/\n                #ays-quiz-container-7 .wrong_answer_text p {\n                    font-size:16px;\n                }\n\n                \/* Right answers \/ mobile font size *\/\n                #ays-quiz-container-7 .right_answer_text p {\n                    font-size:16px;\n                }\n\n                \/* Note text \/ mobile font size *\/\n                #ays-quiz-container-7 .ays-quiz-question-note-message-box p {\n                    font-size:14px;\n                }\n\n                div#ays-quiz-container-7 .ays-quiz-question-note-message-box *:not(strong) {\n                    text-transform:none;\n                    text-decoration: none;\n                    letter-spacing: 0px;\n                    font-weight: normal;\n                }\n\n                div#ays-quiz-container-7 .ays_questtion_explanation *:not(strong) {\n                    text-transform:none;\n                    text-decoration: none;\n                    letter-spacing: 0px;\n                    font-weight: normal;\n                }\n\n                div#ays-quiz-container-7 .right_answer_text *:not(strong) {\n                    text-transform:none;\n                    text-decoration: none;\n                    letter-spacing: 0px;\n                    font-weight: normal;\n                }\n\n                div#ays-quiz-container-7 .wrong_answer_text *:not(strong) {\n                    text-transform:none;\n                    text-decoration: none;\n                    letter-spacing: 0px;\n                    font-weight: normal;\n                }\n            }\n            \/* Custom css styles *\/\n            \n            \n            \/* RTL direction styles *\/\n            \n        <\/style>\n            <style>\n                #ays-quiz-container-7 p {\n                    margin: 0.625em;\n                }\n                \n                #ays-quiz-container-7 .ays-field.checked_answer_div input:checked~label {\n                    background-color: rgba(93,108,249,0.6);\n                }\n\n                #ays-quiz-container-7.ays_quiz_classic_light  .ays_quiz_results .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-7.ays_quiz_classic_dark  .ays_quiz_results .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-7.ays_quiz_classic_light  .enable_correction .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-7.ays_quiz_classic_dark  .enable_correction .ays-field.checked_answer_div input:checked~label {\n                    background-color: transparent;\n                }\n\n                #ays-quiz-container-7.ays_quiz_classic_light  .ays_quiz_results .not_influence_to_score .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-7.ays_quiz_classic_dark  .ays_quiz_results .not_influence_to_score .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-7.ays_quiz_classic_light  .enable_correction .not_influence_to_score .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-7.ays_quiz_classic_dark  .enable_correction .not_influence_to_score .ays-field.checked_answer_div input:checked~label {\n                    background-color: rgba(93,108,249,0.6);\n                }\n                \n                #ays-quiz-container-7 .ays-field.checked_answer_div input:checked~label:hover {\n                    background-color: rgba(93,108,249,0.8);\n                }\n\n                #ays-quiz-container-7.ays-quiz-container.ays_quiz_classic_light .ays-questions-container .ays-field:hover label[for^='ays-answer-'],\n                #ays-quiz-container-7 .ays-field:hover:not(.ays-answered-text-input){\n                    background: rgba(93,108,249,0.8);\n                    \/* border-radius: 4px; *\/\n                    color: #fff;\n                    transition: all .3s;\n                }\n                #ays-quiz-container-7 #ays_finish_quiz_7 .action-button:hover,\n                #ays-quiz-container-7 #ays_finish_quiz_7 .action-button:focus,\n                #ays-quiz-container-7 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn:hover,\n                #ays-quiz-container-7 .ays-quiz-category-selective-submit-bttn:focus {\n                    box-shadow: 0 0 0 2px white, 0 0 0 3px #5d6cf9;\n                    background: #5d6cf9;\n                }\n            <\/style><script>\n                if(typeof aysQuizOptions === 'undefined'){\n                    var aysQuizOptions = [];\n                }\n                aysQuizOptions['7']  = '{"quiz_version":"6.7.0.88","core_version":"6.8.3","php_version":"8.3.28","color":"#5d6cf9","bg_color":"#ffffff","text_color":"#000000","height":450,"width":800,"enable_logged_users":"off","information_form":"disable","form_name":"on","form_email":"on","form_phone":"on","image_width":"","image_height":"","enable_correction":"off","enable_progress_bar":"on","enable_questions_result":"on","randomize_questions":"off","randomize_answers":"off","enable_questions_counter":"on","enable_restriction_pass":"off","restriction_pass_message":"","user_role":[],"custom_css":"","limit_users":"off","limitation_message":"","redirect_url":"","redirection_delay":0,"answers_view":"list","enable_rtl_direction":"off","enable_logged_users_message":"","questions_count":"","enable_question_bank":"off","enable_live_progress_bar":"on","enable_percent_view":"off","enable_average_statistical":"off","enable_next_button":"on","enable_previous_button":"on","enable_arrows":"off","timer_text":"","quiz_theme":"classic_light","enable_social_buttons":"off","result_text":"Thank you for participating in the 2025 Math Kangaroo Advent Calendar!\r\n\r\nKeep up the great work, and enjoy the fun and learning along the way! \ud83c\udf84\ud83e\udd98","enable_pass_count":"off","hide_score":"off","rate_form_title":"Please rate this quiz","box_shadow_color":"#c9c9c9","quiz_border_radius":"8","quiz_bg_image":"","quiz_border_width":"3","quiz_border_style":"solid","quiz_border_color":"#2f3752","quiz_loader":"hourglass","create_date":null,"author":"{\"id\":\"1\",\"name\":\"Math Kangaroo USA\"}","quest_animation":"fade","form_title":"","enable_bg_music":"off","quiz_bg_music":"","answers_font_size":16,"show_create_date":"off","show_author":"off","enable_early_finish":"on","answers_rw_texts":"on_results_page","disable_store_data":"off","enable_background_gradient":"off","background_gradient_color_1":"#000","background_gradient_color_2":"#fff","quiz_gradient_direction":"vertical","redirect_after_submit":"off","submit_redirect_url":"","submit_redirect_delay":"0","progress_bar_style":"third","enable_exit_button":"off","exit_redirect_url":"","image_sizing":"cover","quiz_bg_image_position":"center center","custom_class":"","enable_social_links":"off","social_links":{"linkedin_link":"","facebook_link":"","twitter_link":"","vkontakte_link":"","instagram_link":"","youtube_link":"","behance_link":""},"show_quiz_title":"on","show_quiz_desc":"on","show_login_form":"off","mobile_max_width":"","limit_users_by":"ip","active_date_check":"off","activeInterval":"2025-12-19 17:08:17","deactiveInterval":"2025-12-19 17:08:17","active_date_pre_start_message":"The quiz will be available soon!","active_date_message":"This quiz has expired!","explanation_time":"4","enable_clear_answer":"off","show_category":"on","show_question_category":"on","display_score":"by_correctness","enable_rw_asnwers_sounds":"off","ans_right_wrong_icon":"none","quiz_bg_img_in_finish_page":"off","finish_after_wrong_answer":"off","after_timer_text":"","enable_enter_key":"on","buttons_text_color":"#ffffff","buttons_position":"center","show_questions_explanation":"on_results_page","enable_audio_autoplay":"off","buttons_size":"large","buttons_font_size":"18","buttons_width":"","buttons_left_right_padding":"36","buttons_top_bottom_padding":"14","buttons_border_radius":"8","enable_leave_page":"on","enable_tackers_count":"off","tackers_count":"","pass_score":0,"pass_score_message":"<h4 style=\"text-align: center\">Congratulations!<\/h4>\r\n<p style=\"text-align: center\">You successfully solved the puzzle!<\/p>","fail_score_message":"<h4 style=\"text-align: center\">Oops!<\/h4>\r\n<p style=\"text-align: center\">It looks like you didn\u2019t pass the quiz this time.<\/p>\r\n<p style=\"text-align: center\">Don\u2019t worry\u2014try again and give it another shot! \ud83c\udf1f<\/p>","question_font_size":16,"quiz_width_by_percentage_px":"pixels","questions_hint_icon_or_text":"default","questions_hint_value":"","enable_early_finsh_comfirm_box":"on","enable_questions_ordering_by_cat":"on","show_schedule_timer":"off","show_timer_type":"countdown","quiz_loader_text_value":"","hide_correct_answers":"off","show_information_form":"on","quiz_loader_custom_gif":"","disable_hover_effect":"off","quiz_loader_custom_gif_width":100,"progress_live_bar_style":"default","quiz_title_transformation":"uppercase","show_answers_numbering":"none","quiz_image_width_by_percentage_px":"pixels","quiz_image_height":"","quiz_bg_img_on_start_page":"off","quiz_box_shadow_x_offset":0,"quiz_box_shadow_y_offset":0,"quiz_box_shadow_z_offset":15,"quiz_question_text_alignment":"center","quiz_arrow_type":"default","quiz_show_wrong_answers_first":"off","quiz_display_all_questions":"off","quiz_timer_red_warning":"on","quiz_schedule_timezone":"America\/Chicago","questions_hint_button_value":"","quiz_tackers_message":"This quiz is expired!","quiz_enable_linkedin_share_button":"on","quiz_enable_facebook_share_button":"on","quiz_enable_twitter_share_button":"on","quiz_make_responses_anonymous":"off","quiz_make_all_review_link":"off","show_questions_numbering":"1.","quiz_message_before_timer":"","enable_password":"off","password_quiz":"","quiz_password_message":"","enable_see_result_confirm_box":"off","display_fields_labels":"off","enable_full_screen_mode":"off","quiz_enable_password_visibility":"off","question_mobile_font_size":16,"answers_mobile_font_size":15,"social_buttons_heading":"","quiz_enable_vkontakte_share_button":"on","answers_border":"on","answers_border_width":1,"answers_border_style":"solid","answers_border_color":"#dddddd","ans_img_height":"150","show_answers_caption":"on","ans_img_caption_position":"bottom","social_links_heading":"","quiz_enable_question_category_description":"on","answers_margin":12,"quiz_message_before_redirect_timer":"","buttons_mobile_font_size":18,"answers_box_shadow":"off","answers_box_shadow_color":"#000","quiz_answer_box_shadow_x_offset":0,"quiz_answer_box_shadow_y_offset":0,"quiz_answer_box_shadow_z_offset":10,"quiz_create_author":1,"quiz_enable_title_text_shadow":"off","quiz_title_text_shadow_color":"#333","quiz_title_text_shadow_x_offset":2,"quiz_title_text_shadow_y_offset":2,"quiz_title_text_shadow_z_offset":2,"quiz_show_only_wrong_answers":"off","quiz_title_font_size":28,"quiz_title_mobile_font_size":20,"quiz_password_width":"","quiz_review_placeholder_text":"","quiz_make_review_required":"off","quiz_enable_results_toggle":"off","quiz_review_thank_you_message":"","quiz_review_enable_comment_field":"on","quest_explanation_font_size":16,"quest_explanation_mobile_font_size":16,"quiz_waiting_time":"off","wrong_answers_font_size":16,"wrong_answers_mobile_font_size":16,"quiz_enable_question_image_zoom":"off","right_answers_font_size":16,"right_answers_mobile_font_size":16,"quiz_display_messages_before_buttons":"off","quiz_enable_user_c\u0570oosing_anonymous_assessment":"off","note_text_font_size":14,"note_text_mobile_font_size":14,"quiz_questions_numbering_by_category":"on","quiz_enable_custom_texts_for_buttons":"off","quiz_custom_texts_start_button":"Start","quiz_custom_texts_next_button":"Next","quiz_custom_texts_prev_button":"Prev","quiz_custom_texts_clear_button":"Clear","quiz_custom_texts_finish_button":"Finish","quiz_custom_texts_see_results_button":"See Result","quiz_custom_texts_restart_quiz_button":"Restart quiz","quiz_custom_texts_send_feedback_button":"Send feedback","quiz_custom_texts_load_more_button":"Load more","quiz_custom_texts_exit_button":"Exit","quiz_custom_texts_check_button":"Check","quiz_custom_texts_login_button":"Log In","quiz_enable_quiz_category_description":"on","quiz_admin_note_text_transform":"none","quiz_quest_explanation_text_transform":"none","quiz_right_answer_text_transform":"none","quiz_wrong_answer_text_transform":"none","quiz_admin_note_text_decoration":"none","quiz_quest_explanation_text_decoration":"none","quiz_right_answers_text_decoration":"none","quiz_wrong_answers_text_decoration":"none","quiz_admin_note_letter_spacing":"0","quiz_bg_img_during_the_quiz":"off","quiz_quest_explanation_letter_spacing":"0","quiz_right_answers_letter_spacing":"0","quiz_wrong_answers_letter_spacing":"0","quiz_admin_note_font_weight":"normal","quiz_quest_explanation_font_weight":"normal","quiz_right_answers_font_weight":"normal","quiz_wrong_answers_font_weight":"normal","quiz_content_max_width":90,"quiz_content_mobile_max_width":90,"quiz_timer_warning_text_color":"#ff0000","quiz_enable_default_hide_results_toggle":"off","quiz_show_restart_button_on_quiz_fail":"off","quiz_disable_input_focusing":"off","quiz_enable_keyboard_navigation":"on","quiz_admin_note_mobile_text_transform":"none","quiz_quest_explanation_mobile_text_transform":"none","quiz_right_answer_mobile_text_transform":"none","quiz_wrong_answer_mobile_text_transform":"none","quiz_admin_note_mobile_text_decoration":"none","quiz_dont_show_quiz":"off","enable_questions_reporting":"off","quiz_quest_explanation_mobile_text_decoration":"none","quiz_right_answers_mobile_text_decoration":"none","quiz_wrong_answers_mobile_text_decoration":"none","quiz_admin_note_mobile_letter_spacing":"0","quiz_quest_explanation_mobile_letter_spacing":"0","quiz_right_answers_mobile_letter_spacing":"0","quiz_wrong_answers_mobile_letter_spacing":"0","required_fields":null,"enable_timer":"off","enable_quiz_rate":"off","enable_rate_avg":"off","enable_box_shadow":"on","enable_border":"on","quiz_timer_in_title":"off","enable_rate_comments":"on","enable_restart_button":"on","autofill_user_data":"off","timer":100,"show_quiz_image":"on","quiz_enable_whatsapp_share_button":"off","submit_redirect_after":"","rw_answers_sounds":false,"id":"7","title":"2025_Days 1-24","description":"Let the countdown to Christmas be both festive and educational! \ud83c\udf84\ud83e\udd98","quiz_image":"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2025\/12\/4-1024x576.png","quiz_category_id":"5","question_ids":"71,72,73,74,75,76,77,78,79,80,81,82,83,87,89,92,94,95,97,98,100,99,108,107","ordering":"7","published":"1","intervals":null,"quiz_url":"","custom_post_id":"63711","author_id":"1","quiz_animation_top":100,"quiz_enable_animation_top":"on"}';\n        <\/script>\n                    <input type='hidden' name='quiz_id' value='7'\/>\n                    <input type='hidden' name='start_date' class='ays-start-date'\/>\n                <\/form><\/div>\n                            <\/div>\n                            <\/strong>[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_custom_heading text=&#8221;2024 Math Kangaroo Advent Calendar&#8221; font_container=&#8221;tag:h2|text_align:center&#8221; use_theme_fonts=&#8221;yes&#8221; css=&#8221;&#8221;][vc_single_image image=&#8221;7239&#8243; img_size=&#8221;full&#8221; alignment=&#8221;center&#8221; onclick=&#8221;custom_link&#8221; img_link_target=&#8221;_blank&#8221; css=&#8221;&#8221; link=&#8221;https:\/\/mathkangaroo.org\/mks\/2024-advent-calendar\/&#8221;][\/vc_column][\/vc_row][vc_row][vc_column][vc_raw_html css=&#8221;&#8221;]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[\/vc_raw_html][\/vc_column][\/vc_row]<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column][vc_raw_html css=&#8221;&#8221;]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[\/vc_raw_html][\/vc_column][\/vc_row][vc_row][vc_column][vc_custom_heading text=&#8221;2025 Math Kangaroo Advent Calendar&#8221; font_container=&#8221;tag:h2|text_align:center&#8221; use_theme_fonts=&#8221;yes&#8221; css=&#8221;&#8221;][vc_column_text css=&#8221;&#8221;]Math Kangaroo Advent Calendar 2025 brings a fun math challenge every day! Solve one exciting Kangaroo-style puzzle each day before Christmas and get smarter while having fun. Our friends from Germany have shared this special&nbsp;<a href=\"https:\/\/mathkangaroo.org\/mks\/2025-advent-calendar\/\">&hellip;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-fullwidth.php","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-63717","page","type-page","status-publish","hentry","odd"],"aioseo_notices":[],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/mathkangaroo.org\/mks\/wp-json\/wp\/v2\/pages\/63717","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathkangaroo.org\/mks\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mathkangaroo.org\/mks\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mathkangaroo.org\/mks\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathkangaroo.org\/mks\/wp-json\/wp\/v2\/comments?post=63717"}],"version-history":[{"count":0,"href":"https:\/\/mathkangaroo.org\/mks\/wp-json\/wp\/v2\/pages\/63717\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathkangaroo.org\/mks\/wp-json\/wp\/v2\/media?parent=63717"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}