{"id":38218,"date":"2023-09-04T23:27:18","date_gmt":"2023-09-05T04:27:18","guid":{"rendered":"https:\/\/mathkangaroo.org\/mks\/?page_id=38218"},"modified":"2024-12-20T07:43:50","modified_gmt":"2024-12-20T13:43:50","slug":"2024-advent-calendar","status":"publish","type":"page","link":"https:\/\/mathkangaroo.org\/mks\/2024-advent-calendar\/","title":{"rendered":"2024 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_column_text css=&#8221;&#8221;]One Math Kangaroo Question a day makes you smarter they say! Our German Kangaroo friends have shared this delightful Math Advent Calendar\u2014a collection of pre-Christmas puzzles in Kangaroo style.[\/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;\">2024 Math Kangaroo Advent Calendar Mini<\/span><\/h4>\n<p><span style=\"color: #000000;\">&#x2728; 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-4'>\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_4' \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\/2024\/11\/1_Advent_2024-1024x576.png' alt='' class='ays_quiz_image'>\n                    <p class='ays-fs-title'>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='4'\/>\n                    <input type='hidden' name='ays_quiz_finish_nonce' value='922bdb41c5'>\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\/38218'\/>\n                    <input type='hidden' name='ays_quiz_questions' value='7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,38,41,43,45,47,49,51,53,55'>\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='7' 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;'>2024 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. They learn and play together, especially in the run-up to Christmas. All 4 friends are very interested in animals. Today they went to the wildlife park.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59128\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-230030-716x377.png\" alt=\"\" width=\"716\" height=\"377\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-230030.png 716w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-230030-300x158.png 300w\" sizes=\"auto, (max-width: 716px) 100vw, 716px\" \/><\/p>\n<p style=\"text-align: left\">Nele tells:<br \/>\n\u201cFrom the entrance we went straight past the goats. At the donkey enclosure we turned left. Then we walked past the roe deer to the deer enclosure. We took a break at the forester\u2019s lodge. We found 4 animals in each enclosure. We only didn\u2019t see donkeys.\u201d<br \/>\nHow many animals did the children see on the way to the forester\u2019s lodge?<\/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-7]' id='ays-answer-25-4' value='25'\/>\n\n                <label for='ays-answer-25-4' class='  ays_position_initial  ays-quiz-keyboard-label'>4<\/label><label for='ays-answer-25-4' 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-7]' id='ays-answer-26-4' value='26'\/>\n\n                <label for='ays-answer-26-4' class='  ays_position_initial  ays-quiz-keyboard-label'>7<\/label><label for='ays-answer-26-4' 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-7]' id='ays-answer-27-4' value='27'\/>\n\n                <label for='ays-answer-27-4' class='  ays_position_initial  ays-quiz-keyboard-label'>8<\/label><label for='ays-answer-27-4' 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-7]' id='ays-answer-28-4' value='28'\/>\n\n                <label for='ays-answer-28-4' class='  ays_position_initial  ays-quiz-keyboard-label'>12<\/label><label for='ays-answer-28-4' 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-7]' id='ays-answer-29-4' value='29'\/>\n\n                <label for='ays-answer-29-4' class='  ays_position_initial  ays-quiz-keyboard-label'>14<\/label><label for='ays-answer-29-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['7'] = '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>Let's break down the path the children took and count the animals they saw.<\/em><\/span><\/p>\n<ol>\n<li><span style=\"color: #808080\"><em><strong>Goats:<\/strong><\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>Nele mentions they went straight past the goats, so they didn\u2019t stop at the goat enclosure.<\/em><\/span><\/p>\n<ul>\n<li><span style=\"color: #808080\"><em>Animals seen: 4 goats.<\/em><\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"color: #808080\"><em><strong>Donkeys:<\/strong><\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>They didn't see any donkeys, so we don\u2019t need to count them.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em><strong>Roe Deer:<\/strong><\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>They walked past the roe deer, meaning they didn\u2019t stop at this enclosure either.<\/em><\/span><\/p>\n<ul>\n<li><span style=\"color: #808080\"><em>Animals seen: 4 roe deer.<\/em><\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"color: #808080\"><em><strong>Deer:<\/strong><\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>They stopped at the deer enclosure.<\/em><\/span><\/p>\n<ul>\n<li><span style=\"color: #808080\"><em>Animals seen: 4 deer.<\/em><\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"color: #808080\"><em><strong>Forester\u2019s Lodge:<\/strong><\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>They took a break at the forester's lodge but didn\u2019t mention seeing any more animals after this point. We don\u2019t need to count any animals here.<\/em><\/span><\/li>\n<\/ol>\n<h3><span style=\"color: #808080\"><em>Total animals seen:<\/em><\/span><\/h3>\n<ul>\n<li><span style=\"color: #808080\"><em>Goats: 4<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>Roe deer: 4<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>Deer: 4<\/em><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #808080\"><em>So, the total number of animals they saw on the way to the forester\u2019s lodge is: <strong>4 + 4 + 4 = 12 animals.<\/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><span style=\"color: #808080\"><em>Let's break down the path the children took and count the animals they saw.<\/em><\/span><\/p>\n<ol>\n<li><span style=\"color: #808080\"><em><strong>Goats:<\/strong><\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>Nele mentions they went straight past the goats, so they didn\u2019t stop at the goat enclosure.<\/em><\/span><\/p>\n<ul>\n<li><span style=\"color: #808080\"><em>Animals seen: 4 goats.<\/em><\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"color: #808080\"><em><strong>Donkeys:<\/strong><\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>They didn't see any donkeys, so we don\u2019t need to count them.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em><strong>Roe Deer:<\/strong><\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>They walked past the roe deer, meaning they didn\u2019t stop at this enclosure either.<\/em><\/span><\/p>\n<ul>\n<li><span style=\"color: #808080\"><em>Animals seen: 4 roe deer.<\/em><\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"color: #808080\"><em><strong>Deer:<\/strong><\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>They stopped at the deer enclosure.<\/em><\/span><\/p>\n<ul>\n<li><span style=\"color: #808080\"><em>Animals seen: 4 deer.<\/em><\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"color: #808080\"><em><strong>Forester\u2019s Lodge:<\/strong><\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>They took a break at the forester's lodge but didn\u2019t mention seeing any more animals after this point. We don\u2019t need to count any animals here.<\/em><\/span><\/li>\n<\/ol>\n<h3><span style=\"color: #808080\"><em>Total animals seen:<\/em><\/span><\/h3>\n<ul>\n<li><span style=\"color: #808080\"><em>Goats: 4<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>Roe deer: 4<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>Deer: 4<\/em><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #808080\"><em>So, the total number of animals they saw on the way to the forester\u2019s lodge is: <strong>4 + 4 + 4 = 12 animals.<\/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='9' 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;'>2024 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>2. <\/p>\n<p style=\"text-align: left\">Nele, Jan, Paula and Tim decorate the Advent wreath. They make ladybirds out of chestnuts. The wings are made of colored paper. Only the dots are still missing.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59134\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-02-072736-355x266.png\" alt=\"\" width=\"355\" height=\"266\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-02-072736.png 355w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-02-072736-300x225.png 300w\" sizes=\"auto, (max-width: 355px) 100vw, 355px\" \/><\/p>\n<p style=\"text-align: left\">Jan cuts out 7 round dots. Nele and Paula each cut out 5 dots. Tim cuts out 3 dots.<br \/>\nHow many dots do the 4 friends cut out for the ladybirds 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-9]' id='ays-answer-35-4' value='35'\/>\n\n                <label for='ays-answer-35-4' class='  ays_position_initial  ays-quiz-keyboard-label'>12<\/label><label for='ays-answer-35-4' 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-9]' id='ays-answer-36-4' value='36'\/>\n\n                <label for='ays-answer-36-4' class='  ays_position_initial  ays-quiz-keyboard-label'>13<\/label><label for='ays-answer-36-4' 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-9]' id='ays-answer-37-4' value='37'\/>\n\n                <label for='ays-answer-37-4' class='  ays_position_initial  ays-quiz-keyboard-label'>16<\/label><label for='ays-answer-37-4' 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-9]' id='ays-answer-38-4' value='38'\/>\n\n                <label for='ays-answer-38-4' class='  ays_position_initial  ays-quiz-keyboard-label'>18<\/label><label for='ays-answer-38-4' 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-9]' id='ays-answer-39-4' value='39'\/>\n\n                <label for='ays-answer-39-4' class='  ays_position_initial  ays-quiz-keyboard-label'>20<\/label><label for='ays-answer-39-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['9'] = '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><em><span style=\"color: #808080\">To solve this problem, we add up the number of dots cut out by each friend:<\/span><\/em><\/p>\n<ul>\n<li><em><span style=\"color: #808080\"><strong>Jan<\/strong> cuts out <strong>7 dots<\/strong>.<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>Nele<\/strong> cuts out <strong>5 dots<\/strong>.<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>Paula<\/strong> cuts out <strong>5 dots<\/strong>.<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>Tim<\/strong> cuts out <strong>3 dots<\/strong>.<\/span><\/em><\/li>\n<\/ul>\n<p><em><span style=\"color: #808080\">Now, sum them up:<\/span><\/em><br \/>\n<em><span class=\"katex\" style=\"color: #808080\"><span class=\"katex-mathml\">7+5+5+3=20<\/span><\/span><\/em><\/p>\n<h3><em><span style=\"color: #808080\">Final Answer:<\/span><\/em><\/h3>\n<p><em><span style=\"color: #808080\">The 4 friends cut out a total of <strong>20 dots<\/strong> for the ladybirds.\u00a0<\/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><em><span style=\"color: #808080\">To solve this problem, we add up the number of dots cut out by each friend:<\/span><\/em><\/p>\n<ul>\n<li><em><span style=\"color: #808080\"><strong>Jan<\/strong> cuts out <strong>7 dots<\/strong>.<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>Nele<\/strong> cuts out <strong>5 dots<\/strong>.<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>Paula<\/strong> cuts out <strong>5 dots<\/strong>.<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>Tim<\/strong> cuts out <strong>3 dots<\/strong>.<\/span><\/em><\/li>\n<\/ul>\n<p><em><span style=\"color: #808080\">Now, sum them up:<\/span><\/em><br \/>\n<em><span class=\"katex\" style=\"color: #808080\"><span class=\"katex-mathml\">7+5+5+3=20<\/span><\/span><\/em><\/p>\n<h3><em><span style=\"color: #808080\">Final Answer:<\/span><\/em><\/h3>\n<p><em><span style=\"color: #808080\">The 4 friends cut out a total of <strong>20 dots<\/strong> for the ladybirds.\u00a0<\/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='11' 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;'>2024 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>3. <\/p>\n<p style=\"text-align: left\">\u201cHave you noticed that there are 5 dogs in our street lately?\u201d asks Paula. \u201cYes, and since yesterday they\u2019ve all been running around with jumpers with dots<br \/>\nor checks or stripes,\u201d says Jan. Nele thinks: \u201cThe Klein family\u2019s dog has a particularly nice jumper, even with a hood.\u201d \u201cBut without stripes,\u201d Tim adds.<br \/>\nWhat is the Klein family dog?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59135\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-02-201557-634x538.png\" alt=\"\" width=\"634\" height=\"538\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-02-201557.png 634w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-02-201557-300x255.png 300w\" sizes=\"auto, (max-width: 634px) 100vw, 634px\" \/><\/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-11]' id='ays-answer-45-4' value='45'\/>\n\n                <label for='ays-answer-45-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf84<\/label><label for='ays-answer-45-4' 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-11]' id='ays-answer-46-4' value='46'\/>\n\n                <label for='ays-answer-46-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udece<\/label><label for='ays-answer-46-4' 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-11]' id='ays-answer-47-4' value='47'\/>\n\n                <label for='ays-answer-47-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udd6f<\/label><label for='ays-answer-47-4' 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-11]' id='ays-answer-48-4' value='48'\/>\n\n                <label for='ays-answer-48-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf1f<\/label><label for='ays-answer-48-4' 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-11]' id='ays-answer-49-4' value='49'\/>\n\n                <label for='ays-answer-49-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\u2665<\/label><label for='ays-answer-49-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['11'] = '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<ol>\n<li><em><span style=\"color: #808080\">There are <strong>5 dogs<\/strong>, each with a jumper that has <strong>dots, checks, or stripes<\/strong> as the pattern.<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\">The Klein family's dog:<\/span><\/em>\n<ul>\n<li><em><span style=\"color: #808080\">Has a jumper with a <strong>hood<\/strong>.<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\">Does <strong>not<\/strong> have stripes.<\/span><\/em><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<p><em><span style=\"color: #808080\">Only the Schnauzer and the Great Dane have sweaters with hoods. However, the Schnauzer's sweater has stripes, which means it cannot belong to the Klein family, as their dog does not have stripes. Therefore, the Great Dane (next to a heart) must be the Klein family dog.<\/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<ol>\n<li><span style=\"color: #808080\"><em>There are <strong>5 dogs<\/strong>, each with a jumper that has <strong>dots, checks, or stripes<\/strong> as the pattern.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>The Klein family's dog:<\/em><\/span>\n<ul>\n<li><span style=\"color: #808080\"><em>Has a jumper with a <strong>hood<\/strong>.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>Does <strong>not<\/strong> have stripes.<\/em><\/span><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<p><span style=\"color: #808080\"><em>Only the Schnauzer and the Great Dane have sweaters with hoods. However, the Schnauzer's sweater has stripes, which means it cannot belong to the Klein family, as their dog does not have stripes. Therefore, the Great Dane (next to a heart) must be the Klein family dog.<\/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='13' 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;'>2024 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\u2019s class is rehearsing a play for the school Christmas party. Tim\u2019s mother has sewn lovely animal costumes for it.<br \/>\nAt the end of each rehearsal there is a riddle to solve. And every time there is an animal in it!<br \/>\nToday we have to solve the HASE-riddle. In the letter grid, the whole word HASE can be read either from left to right or from top to bottom. Paula has already found HASE once.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59141\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-03-211035-474x258.png\" alt=\"\" width=\"474\" height=\"258\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-03-211035.png 474w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-03-211035-300x163.png 300w\" sizes=\"auto, (max-width: 474px) 100vw, 474px\" \/><\/p>\n<p style=\"text-align: left\">How often does the word HASE occur 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-13]' id='ays-answer-55-4' value='55'\/>\n\n                <label for='ays-answer-55-4' class='  ays_position_initial  ays-quiz-keyboard-label'>2 times<\/label><label for='ays-answer-55-4' 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-13]' id='ays-answer-56-4' value='56'\/>\n\n                <label for='ays-answer-56-4' class='  ays_position_initial  ays-quiz-keyboard-label'>3 times<\/label><label for='ays-answer-56-4' 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-13]' id='ays-answer-57-4' value='57'\/>\n\n                <label for='ays-answer-57-4' class='  ays_position_initial  ays-quiz-keyboard-label'>4 times<\/label><label for='ays-answer-57-4' 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-13]' id='ays-answer-58-4' value='58'\/>\n\n                <label for='ays-answer-58-4' class='  ays_position_initial  ays-quiz-keyboard-label'>6 times<\/label><label for='ays-answer-58-4' 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-13]' id='ays-answer-59-4' value='59'\/>\n\n                <label for='ays-answer-59-4' class='  ays_position_initial  ays-quiz-keyboard-label'>8 times<\/label><label for='ays-answer-59-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['13'] = '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 style=\"text-align: left\"><span style=\"color: #808080\"><em>The images illustrate six different ways to read the word \"HASE.\"<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59142\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-03-211622-364x166.png\" alt=\"\" width=\"364\" height=\"166\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-03-211622.png 364w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-03-211622-300x137.png 300w\" sizes=\"auto, (max-width: 364px) 100vw, 364px\" \/><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">The images illustrate six different ways to read the word \"HASE.\"<\/span><\/em><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59142\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-03-211622-364x166.png\" alt=\"\" width=\"364\" height=\"166\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-03-211622.png 364w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-03-211622-300x137.png 300w\" sizes=\"auto, (max-width: 364px) 100vw, 364px\" \/><\/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='15' 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;'>2024 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>5. <\/p>\n<p style=\"text-align: left\">The wild boars in the zoo gave birth last spring. \u201cSoon the wild boars will get a bigger enclosure,\u201d Jan tells us. \u201cMy grandma told me that too,\u201d Nele says, \u201cit will be twice as long and twice as wide as the old one.\u201d<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-large wp-image-59155 aligncenter\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-04-213125-238x118.png\" alt=\"\" width=\"238\" height=\"118\" \/><\/p>\n<p style=\"text-align: left\">\u201cHow much bigger is the area then?\u201d Tim wants to know.<br \/>\n\u201cLet\u2019s try it out,\u201d suggests Paula. \u201cWe\u2019ll draw a picture of the little enclosure on some paper and then we\u2019ll double the length and the width. Let\u2019s see if we can<br \/>\nwork it out like that.\u201d<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-large wp-image-59156 aligncenter\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-04-213445-232x175.png\" alt=\"\" width=\"232\" height=\"175\" \/><\/p>\n<p style=\"text-align: left\">How many times does the old enclosure fit into the new enclosure?<\/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-15]' id='ays-answer-65-4' value='65'\/>\n\n                <label for='ays-answer-65-4' class='  ays_position_initial  ays-quiz-keyboard-label'>2 times<\/label><label for='ays-answer-65-4' 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-15]' id='ays-answer-66-4' value='66'\/>\n\n                <label for='ays-answer-66-4' class='  ays_position_initial  ays-quiz-keyboard-label'>3 times<\/label><label for='ays-answer-66-4' 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-15]' id='ays-answer-67-4' value='67'\/>\n\n                <label for='ays-answer-67-4' class='  ays_position_initial  ays-quiz-keyboard-label'>4 times<\/label><label for='ays-answer-67-4' 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-15]' id='ays-answer-68-4' value='68'\/>\n\n                <label for='ays-answer-68-4' class='  ays_position_initial  ays-quiz-keyboard-label'>6 times<\/label><label for='ays-answer-68-4' 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-15]' id='ays-answer-69-4' value='69'\/>\n\n                <label for='ays-answer-69-4' class='  ays_position_initial  ays-quiz-keyboard-label'>8 times<\/label><label for='ays-answer-69-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['15'] = '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 style=\"text-align: left\"><span style=\"color: #808080\"><em>We completed the drawing and confirmed that each of the four sections of the new enclosure is the same size as that of the old one. <\/em><\/span><\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59157\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-04-214144-236x188.png\" alt=\"\" width=\"236\" height=\"188\" \/><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">This indicates that the old enclosure can fit into the new enclosure four times.<\/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 style=\"text-align: left\"><span style=\"color: #808080\"><em>We completed the drawing and confirmed that each of the four sections of the new enclosure is the same size as that of the old one. <\/em><\/span><\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59157\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-04-214144-236x188.png\" alt=\"\" width=\"236\" height=\"188\" \/><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>This indicates that the old enclosure can fit into the new enclosure four times.<\/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='17' 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;'>2024 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>6. <\/p>\n<p style=\"text-align: left\">It\u2019s St Nicholas\u2019 Day. Nele, Jan, Tim and Paula have little presents in their cleaned boots. They have all received chocolate animals.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59165\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-05-204346-354x328.png\" alt=\"\" width=\"354\" height=\"328\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-05-204346.png 354w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-05-204346-300x278.png 300w\" sizes=\"auto, (max-width: 354px) 100vw, 354px\" \/><\/p>\n<p style=\"text-align: left\">They compare how many of each type there are in total.<br \/>\n\u2022 There are fewer hedgehogs than reindeer.<br \/>\n\u2022 The reindeer and the owls together are as many as the rabbits.<br \/>\n\u2022 There are fewer squirrels than owls.<br \/>\nOf which type are there the most chocolate animals 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-17]' id='ays-answer-75-4' value='75'\/>\n\n                <label for='ays-answer-75-4' class='  ays_position_initial  ays-quiz-keyboard-label'>Reindeer<\/label><label for='ays-answer-75-4' 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-17]' id='ays-answer-76-4' value='76'\/>\n\n                <label for='ays-answer-76-4' class='  ays_position_initial  ays-quiz-keyboard-label'>Owls<\/label><label for='ays-answer-76-4' 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-17]' id='ays-answer-77-4' value='77'\/>\n\n                <label for='ays-answer-77-4' class='  ays_position_initial  ays-quiz-keyboard-label'>Squirrels<\/label><label for='ays-answer-77-4' 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-17]' id='ays-answer-78-4' value='78'\/>\n\n                <label for='ays-answer-78-4' class='  ays_position_initial  ays-quiz-keyboard-label'>Hedgehogs<\/label><label for='ays-answer-78-4' 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-17]' id='ays-answer-79-4' value='79'\/>\n\n                <label for='ays-answer-79-4' class='  ays_position_initial  ays-quiz-keyboard-label'>Rabbits<\/label><label for='ays-answer-79-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['17'] = '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 style=\"text-align: left\"><em><span style=\"color: #808080\">Let\u2019s analyze the problem systematically by defining the quantities of each type of chocolate animal:<\/span><\/em><\/p>\n<ul style=\"text-align: left\">\n<li><em><span style=\"color: #808080\"><strong>R<\/strong> = Number of reindeer<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>O<\/strong> = Number of owls<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>S<\/strong> = Number of squirrels<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>H<\/strong> = Number of hedgehogs<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>B<\/strong> = Number of rabbits<\/span><\/em><\/li>\n<\/ul>\n<h3 style=\"text-align: left\"><em><span style=\"color: #808080\">Given clues:<\/span><\/em><\/h3>\n<ol style=\"text-align: left\">\n<li><em><span style=\"color: #808080\"><strong>Fewer hedgehogs than reindeer:<\/strong><\/span><\/em><br \/>\n<em><span class=\"katex\" style=\"color: #808080\"><span class=\"katex-mathml\">H&lt;R<\/span><\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>The reindeer and the owls together are as many as the rabbits:<\/strong><\/span><\/em><br \/>\n<em><span class=\"katex\" style=\"color: #808080\"><span class=\"katex-mathml\">R+O=B<\/span><\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>Fewer squirrels than owls:<\/strong><\/span><\/em><br \/>\n<em><span class=\"katex\" style=\"color: #808080\"><span class=\"katex-mathml\">S&lt;O<\/span><\/span><\/em><\/li>\n<\/ol>\n<h3 style=\"text-align: left\"><em><span style=\"color: #808080\">Goal: Determine which type has the most chocolate animals.<\/span><\/em><\/h3>\n<hr \/>\n<h3 style=\"text-align: left\"><em><span style=\"color: #808080\">Solution:<\/span><\/em><\/h3>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">From clue 2, rabbits (<span class=\"katex\"><span class=\"katex-mathml\">B<\/span><\/span>) are equal to the sum of reindeer (<span class=\"katex\"><span class=\"katex-mathml\">R<\/span><\/span>) and owls (<span class=\"katex\"><span class=\"katex-mathml\">O<\/span><\/span>):<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span class=\"katex-display\" style=\"color: #808080\"><span class=\"katex\"><span class=\"katex-mathml\">B=R+O<\/span><\/span><\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Since <span class=\"katex\"><span class=\"katex-mathml\">R&gt;H<\/span><\/span>\u00a0and <span class=\"katex\"><span class=\"katex-mathml\">O&gt;S<\/span><\/span>, it follows that rabbits (<span class=\"katex\"><span class=\"katex-mathml\">B<\/span><\/span>) are at least as large as any other type of chocolate animal.<\/span><\/em><\/p>\n<h3 style=\"text-align: left\"><em><span style=\"color: #808080\">Conclusion:<\/span><\/em><\/h3>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">The <strong>rabbits<\/strong> are the type of chocolate animals with the most in total.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Let\u2019s analyze the problem systematically by defining the quantities of each type of chocolate animal:<\/em><\/span><\/p>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em><strong>R<\/strong> = Number of reindeer<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em><strong>O<\/strong> = Number of owls<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em><strong>S<\/strong> = Number of squirrels<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em><strong>H<\/strong> = Number of hedgehogs<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em><strong>B<\/strong> = Number of rabbits<\/em><\/span><\/li>\n<\/ul>\n<h3 style=\"text-align: left\"><span style=\"color: #808080\"><em>Given clues:<\/em><\/span><\/h3>\n<ol style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em><strong>Fewer hedgehogs than reindeer:<\/strong><\/em><\/span><br \/>\n<span style=\"color: #808080\"><em><span class=\"katex\"><span class=\"katex-mathml\">H&lt;R<\/span><\/span><\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em><strong>The reindeer and the owls together are as many as the rabbits:<\/strong><\/em><\/span><br \/>\n<span style=\"color: #808080\"><em><span class=\"katex\"><span class=\"katex-mathml\">R+O=B<\/span><\/span><\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em><strong>Fewer squirrels than owls:<\/strong><\/em><\/span><br \/>\n<span style=\"color: #808080\"><em><span class=\"katex\"><span class=\"katex-mathml\">S&lt;O<\/span><\/span><\/em><\/span><\/li>\n<\/ol>\n<h3 style=\"text-align: left\"><span style=\"color: #808080\"><em>Goal: Determine which type has the most chocolate animals.<\/em><\/span><\/h3>\n<hr \/>\n<h3 style=\"text-align: left\"><span style=\"color: #808080\"><em>Solution:<\/em><\/span><\/h3>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>From clue 2, rabbits (<span class=\"katex\"><span class=\"katex-mathml\">B<\/span><\/span>) are equal to the sum of reindeer (<span class=\"katex\"><span class=\"katex-mathml\">R<\/span><\/span>) and owls (<span class=\"katex\"><span class=\"katex-mathml\">O<\/span><\/span>):<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">B=R+O<\/span><\/span><\/span><\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Since <span class=\"katex\"><span class=\"katex-mathml\">R&gt;H<\/span><\/span>\u00a0and <span class=\"katex\"><span class=\"katex-mathml\">O&gt;S<\/span><\/span>, it follows that rabbits (<span class=\"katex\"><span class=\"katex-mathml\">B<\/span><\/span>) are at least as large as any other type of chocolate animal.<\/em><\/span><\/p>\n<h3 style=\"text-align: left\"><span style=\"color: #808080\"><em>Conclusion:<\/em><\/span><\/h3>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The <strong>rabbits<\/strong> are the type of chocolate animals with the most 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='19' 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;'>2024 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>7. <\/p>\n<p style=\"text-align: left\">In school, the children in years 3 and 4 vote for a school mascot. The big board shows how many votes the 5 animals have received.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59181\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-07-062828-507x440.png\" alt=\"\" width=\"507\" height=\"440\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-07-062828.png 507w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-07-062828-300x260.png 300w\" sizes=\"auto, (max-width: 507px) 100vw, 507px\" \/><\/p>\n<p style=\"text-align: left\">\u201cI know who got the most votes,\u201d Paula says happily. \u201cOf course, the beaver,\u201d says Jan, \u201che has the most votes in all four classes.\u201d \u201cAnd which animal got<br \/>\nthe fewest votes overall?,\u201d asks Tim. \u201cNo animal got the fewest votes in all four classes,\u201d Nele says. She has an idea: \u201cFor each animal, we calculate the sum of<br \/>\nthe votes it got. And then we can compare.\u201d<br \/>\nWhich animal got the fewest votes 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-19]' id='ays-answer-85-4' value='85'\/>\n\n                <label for='ays-answer-85-4' class='  ays_position_initial  ays-quiz-keyboard-label'>Stork<\/label><label for='ays-answer-85-4' 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-19]' id='ays-answer-86-4' value='86'\/>\n\n                <label for='ays-answer-86-4' class='  ays_position_initial  ays-quiz-keyboard-label'>Hedgehog<\/label><label for='ays-answer-86-4' 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-19]' id='ays-answer-87-4' value='87'\/>\n\n                <label for='ays-answer-87-4' class='  ays_position_initial  ays-quiz-keyboard-label'>Beaver<\/label><label for='ays-answer-87-4' 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-19]' id='ays-answer-88-4' value='88'\/>\n\n                <label for='ays-answer-88-4' class='  ays_position_initial  ays-quiz-keyboard-label'>Raven<\/label><label for='ays-answer-88-4' 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-19]' id='ays-answer-89-4' value='89'\/>\n\n                <label for='ays-answer-89-4' class='  ays_position_initial  ays-quiz-keyboard-label'>Fox<\/label><label for='ays-answer-89-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['19'] = '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 style=\"text-align: left\"><em><span style=\"color: #333333\">We follow Nele's idea from the task and calculate the total number of votes for each of the four remaining animals.<\/span><\/em><\/p>\n<ul style=\"text-align: left\">\n<li><em><span style=\"color: #333333\">The stork received a total of 4 + 4 + 3 + 5 = 16 votes.<\/span><\/em><\/li>\n<li><em><span style=\"color: #333333\">The hedgehog received a total of 5 + 4 + 3 + 5 = 17 votes.<\/span><\/em><\/li>\n<li><em><span style=\"color: #333333\">The raven received a total of 5 + 4 + 5 + 5 = 19 votes.<\/span><\/em><\/li>\n<li><em><span style=\"color: #333333\">The fox received a total of 3 + 5 + 3 + 2 = 13 votes.<\/span><\/em><\/li>\n<\/ul>\n<p style=\"text-align: left\"><em><span style=\"color: #333333\">The smallest total is 13, indicating that the fox received the fewest votes.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>We follow Nele's idea from the task and calculate the total number of votes for each of the four remaining animals.<\/em><\/span><\/p>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>The stork received a total of 4 + 4 + 3 + 5 = 16 votes.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>The hedgehog received a total of 5 + 4 + 3 + 5 = 17 votes.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>The raven received a total of 5 + 4 + 5 + 5 = 19 votes.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>The fox received a total of 3 + 5 + 3 + 2 = 13 votes.<\/em><\/span><\/li>\n<\/ul>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The smallest total is 13, indicating that the fox received the fewest votes.<\/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='21' 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;'>2024 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 baked biscuits together with Jan\u2019s big brother. After baking, they taste them. Everyone takes a plate full.<br \/>\nOn Nele\u2019s plate there are twice as many kangaroos as hedgehogs and one more rabbit than kangaroos.<br \/>\nWhich plate is Nele\u2019s?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59186\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-08-031141-615x702.png\" alt=\"\" width=\"615\" height=\"702\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-08-031141.png 615w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-08-031141-263x300.png 263w\" sizes=\"auto, (max-width: 615px) 100vw, 615px\" \/><\/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-21]' id='ays-answer-95-4' value='95'\/>\n\n                <label for='ays-answer-95-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\u2665<\/label><label for='ays-answer-95-4' 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-21]' id='ays-answer-96-4' value='96'\/>\n\n                <label for='ays-answer-96-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udd6f<\/label><label for='ays-answer-96-4' 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-21]' id='ays-answer-97-4' value='97'\/>\n\n                <label for='ays-answer-97-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf1f<\/label><label for='ays-answer-97-4' 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-21]' id='ays-answer-98-4' value='98'\/>\n\n                <label for='ays-answer-98-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf84<\/label><label for='ays-answer-98-4' 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-21]' id='ays-answer-99-4' value='99'\/>\n\n                <label for='ays-answer-99-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udece<\/label><label for='ays-answer-99-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['21'] = '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 style=\"text-align: left\"><em><span style=\"color: #808080\">Two conditions must be met for Nele\u2019s plate:<\/span><\/em><\/p>\n<ol style=\"text-align: left\">\n<li><em><span style=\"color: #808080\">The number of kangaroos is exactly twice the number of hedgehogs.<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\">The number of rabbits is one more than the number of kangaroos.<\/span><\/em><\/li>\n<\/ol>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Let\u2019s analyze the options:<\/span><\/em><\/p>\n<ul style=\"text-align: left\">\n<li><em><span style=\"color: #808080\"><strong>Heart:<\/strong> There is 1 kangaroo and 3 hedgehogs. The first condition is not fulfilled.<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>Candle:<\/strong> There are 4 kangaroos and no hedgehogs. The first condition is not fulfilled.<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>Star:<\/strong> There are 2 kangaroos and 1 hedgehog, and there are 3 rabbits (one more than the kangaroos). Both conditions are fulfilled.<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>Tree:<\/strong> There are 2 kangaroos and 2 rabbits. The second condition is not fulfilled.<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>Bell:<\/strong> There are 3 kangaroos and 1 hedgehog. The first condition is not fulfilled.<\/span><\/em><\/li>\n<\/ul>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\"><strong>Conclusion:<\/strong> The correct plate is <strong>\u201cStar.\u201d<\/strong><\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Two conditions must be met for Nele\u2019s plate:<\/em><\/span><\/p>\n<ol style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>The number of kangaroos is exactly twice the number of hedgehogs.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>The number of rabbits is one more than the number of kangaroos.<\/em><\/span><\/li>\n<\/ol>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Let\u2019s analyze the options:<\/em><\/span><\/p>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em><strong>Heart:<\/strong> There is 1 kangaroo and 3 hedgehogs. The first condition is not fulfilled.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em><strong>Candle:<\/strong> There are 4 kangaroos and no hedgehogs. The first condition is not fulfilled.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em><strong>Star:<\/strong> There are 2 kangaroos and 1 hedgehog, and there are 3 rabbits (one more than the kangaroos). Both conditions are fulfilled.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em><strong>Tree:<\/strong> There are 2 kangaroos and 2 rabbits. The second condition is not fulfilled.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em><strong>Bell:<\/strong> There are 3 kangaroos and 1 hedgehog. The first condition is not fulfilled.<\/em><\/span><\/li>\n<\/ul>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em><strong>Conclusion:<\/strong> The correct plate is <strong>\u201cStar.\u201d<\/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='23' 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;'>2024 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, Paula, Nele and Tim are going on a trip to the Museum of Technology today with their school class. There is a dog robot there. It is controlled by a remote control with 4 buttons:<br \/>\n\u2022 the button \ud83d\udc46 means \u2018go one field forward\u2019<br \/>\n\u2022 the button \ud83d\udc47 means \u2018go one field backwards\u2019<br \/>\n\u2022 the button \ud83d\udc49\u00a0means \u2018turn on the spot to the right\u2019<br \/>\n\u2022 the button \ud83d\udc48 means \u2018turn on the spot to the left\u2019<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59190\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-063945-408x267.png\" alt=\"\" width=\"408\" height=\"267\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-063945.png 408w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-063945-300x196.png 300w\" sizes=\"auto, (max-width: 408px) 100vw, 408px\" \/><\/p>\n<p style=\"text-align: left\">Jan is controlling the dog robot.<br \/>\nHe presses the sequence of buttons:\ud83d\udc46\ud83d\udc46\ud83d\udc48\ud83d\udc46\ud83d\udc46\ud83d\udc48\ud83d\udc46 .<br \/>\nWhat is on the field where the dog robot is then standing?<\/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-23]' id='ays-answer-105-4' value='105'\/>\n\n                <label for='ays-answer-105-4' class='  ays_position_initial  ays-quiz-keyboard-label'>a ball<\/label><label for='ays-answer-105-4' 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-23]' id='ays-answer-106-4' value='106'\/>\n\n                <label for='ays-answer-106-4' class='  ays_position_initial  ays-quiz-keyboard-label'>a flower<\/label><label for='ays-answer-106-4' 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-23]' id='ays-answer-107-4' value='107'\/>\n\n                <label for='ays-answer-107-4' class='  ays_position_initial  ays-quiz-keyboard-label'>a teddy<\/label><label for='ays-answer-107-4' 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-23]' id='ays-answer-108-4' value='108'\/>\n\n                <label for='ays-answer-108-4' class='  ays_position_initial  ays-quiz-keyboard-label'>a play ring<\/label><label for='ays-answer-108-4' 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-23]' id='ays-answer-109-4' value='109'\/>\n\n                <label for='ays-answer-109-4' class='  ays_position_initial  ays-quiz-keyboard-label'>a bone<\/label><label for='ays-answer-109-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['23'] = '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 style=\"text-align: left\"><em><span style=\"color: #808080\">With its first two steps, the robot reaches the small rear wall. There, it turns to the left. Next, it takes two steps to the field between the flower and the bone. It then turns left again and, with one final step, reaches the bone.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>With its first two steps, the robot reaches the small rear wall. There, it turns to the left. Next, it takes two steps to the field between the flower and the bone. It then turns left again and, with one final step, reaches the bone.<\/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='25' 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;'>2024 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>10. <\/p>\n<p style=\"text-align: left\">\u201cWere you at your uncle\u2019s this weekend?\u201d asks Nele.<br \/>\n\u201cYes,\u201d Paula answers, \u201cI found a book about parrots at his place. I drew five parrots from it.\u201d<br \/>\n\u201cShow me,\u201d asks Jan.<br \/>\n\u201cI even gave them names, Jojo, Bibi, Neo, Kiri and Micki,\u201d says Paula and shows her drawings.<br \/>\n\u201cWhich one is Jojo?\u201d asks Tim.<br \/>\n\u201cJojo only has red and blue feathers and a dark beak,\u201d Paula explains.<br \/>\nWhich parrot did Paula call Jojo?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59206\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-175508-624x401.png\" alt=\"\" width=\"624\" height=\"401\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-175508.png 624w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-175508-300x193.png 300w\" sizes=\"auto, (max-width: 624px) 100vw, 624px\" \/><\/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-25]' id='ays-answer-115-4' value='115'\/>\n\n                <label for='ays-answer-115-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf84<\/label><label for='ays-answer-115-4' 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-25]' id='ays-answer-116-4' value='116'\/>\n\n                <label for='ays-answer-116-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udd6f<\/label><label for='ays-answer-116-4' 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-25]' id='ays-answer-117-4' value='117'\/>\n\n                <label for='ays-answer-117-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf1f<\/label><label for='ays-answer-117-4' 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-25]' id='ays-answer-118-4' value='118'\/>\n\n                <label for='ays-answer-118-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\u2665<\/label><label for='ays-answer-118-4' 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-25]' id='ays-answer-119-4' value='119'\/>\n\n                <label for='ays-answer-119-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udece<\/label><label for='ays-answer-119-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['25'] = '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 style=\"text-align: left\"><span style=\"color: #808080\"><em>Given the details provided:<\/em><\/span><\/p>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>Two parrots only have red and blue feathers: the one at <strong>\"candle\"<\/strong> and the one at <strong>\"heart\"<\/strong>.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>Of these, only the parrot at <strong>\"heart\"<\/strong> has a dark beak.<\/em><\/span><\/li>\n<\/ul>\n<h3 style=\"text-align: left\"><span style=\"color: #808080\"><em>Conclusion:<\/em><\/span><\/h3>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The parrot Paula named Jojo is the one at <strong>\"heart\"<\/strong>, as it uniquely satisfies the conditions of having <strong>red and blue feathers<\/strong> and a <strong>dark beak<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Given the details provided:<\/span><\/em><\/p>\n<ul style=\"text-align: left\">\n<li><em><span style=\"color: #808080\">Two parrots only have red and blue feathers: the one at <strong>\"candle\"<\/strong> and the one at <strong>\"heart\"<\/strong>.<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\">Of these, only the parrot at <strong>\"heart\"<\/strong> has a dark beak.<\/span><\/em><\/li>\n<\/ul>\n<h3 style=\"text-align: left\"><em><span style=\"color: #808080\">Conclusion:<\/span><\/em><\/h3>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">The parrot Paula named Jojo is the one at <strong>\"heart\"<\/strong>, as it uniquely satisfies the conditions of having <strong>red and blue feathers<\/strong> and a <strong>dark beak<\/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='27' 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;'>2024 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 visit a beekeeper.<br \/>\nThis year her bees have produced a lot of honey.<br \/>\nShe shows the children a fragment of a honeycomb:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59208\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-181126-353x235.png\" alt=\"\" width=\"353\" height=\"235\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-181126.png 353w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-181126-300x200.png 300w\" sizes=\"auto, (max-width: 353px) 100vw, 353px\" \/><\/p>\n<p style=\"text-align: left\">\u201cThe honeycombs are hexagonal,\u201d Nele notices.<br \/>\nA part is missing in the middle of the fragment.<br \/>\nWhich part fits into the gap?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59209\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-181246-628x397.png\" alt=\"\" width=\"628\" height=\"397\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-181246.png 628w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-181246-300x190.png 300w\" sizes=\"auto, (max-width: 628px) 100vw, 628px\" \/><\/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-27]' id='ays-answer-125-4' value='125'\/>\n\n                <label for='ays-answer-125-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf84<\/label><label for='ays-answer-125-4' 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-27]' id='ays-answer-126-4' value='126'\/>\n\n                <label for='ays-answer-126-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\u2665<\/label><label for='ays-answer-126-4' 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-27]' id='ays-answer-127-4' value='127'\/>\n\n                <label for='ays-answer-127-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udece<\/label><label for='ays-answer-127-4' 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-27]' id='ays-answer-128-4' value='128'\/>\n\n                <label for='ays-answer-128-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf1f<\/label><label for='ays-answer-128-4' 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-27]' id='ays-answer-129-4' value='129'\/>\n\n                <label for='ays-answer-129-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udd6f<\/label><label for='ays-answer-129-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['27'] = '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 style=\"text-align: left\"><span style=\"color: #808080\"><em>In the missing section, there are four honeycombs in a row. At the left end, one honeycomb connects to the row diagonally upwards, while at the right end, it connects diagonally downwards. The picture illustrates the missing section:<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59210\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-181530-219x128.png\" alt=\"\" width=\"219\" height=\"128\" \/><\/p>\n<p>&nbsp;<\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">In the missing section, there are four honeycombs in a row. At the left end, one honeycomb connects to the row diagonally upwards, while at the right end, it connects diagonally downwards. The picture illustrates the missing section:<\/span><\/em><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59210\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-181530-219x128.png\" alt=\"\" width=\"219\" height=\"128\" \/><\/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='29' 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;'>2024 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 collected mussels and snails on holiday. He still has 9 mussels and 11 snails left over. He wants to make a necklace for Nele.<br \/>\n\u201cThe necklace should be as long as possible, always alternating between 2 mussels and 3 snails,\u201d Nele asks.<br \/>\n\u201cThere should be 2 mussels at the beginning and 2 at the end,\u201d says Jan.<br \/>\nPaula wants all the mussels and snails that are left over for crafting.<br \/>\nTim makes the necklace as Nele and Jan wish.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59215\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-11-084828-384x323.png\" alt=\"\" width=\"384\" height=\"323\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-11-084828.png 384w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-11-084828-300x252.png 300w\" sizes=\"auto, (max-width: 384px) 100vw, 384px\" \/><\/p>\n<p style=\"text-align: left\">How many mussels and how many snails are left?<\/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-29]' id='ays-answer-135-4' value='135'\/>\n\n                <label for='ays-answer-135-4' class='  ays_position_initial  ays-quiz-keyboard-label'>2 mussels and 2 snails<\/label><label for='ays-answer-135-4' 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-29]' id='ays-answer-136-4' value='136'\/>\n\n                <label for='ays-answer-136-4' class='  ays_position_initial  ays-quiz-keyboard-label'>1 mussel and 1 snail<\/label><label for='ays-answer-136-4' 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-29]' id='ays-answer-137-4' value='137'\/>\n\n                <label for='ays-answer-137-4' class='  ays_position_initial  ays-quiz-keyboard-label'>no mussels and 2 snails<\/label><label for='ays-answer-137-4' 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-29]' id='ays-answer-138-4' value='138'\/>\n\n                <label for='ays-answer-138-4' class='  ays_position_initial  ays-quiz-keyboard-label'>1 mussel and 2 snails<\/label><label for='ays-answer-138-4' 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-29]' id='ays-answer-139-4' value='139'\/>\n\n                <label for='ays-answer-139-4' class='  ays_position_initial  ays-quiz-keyboard-label'>1 mussel and no snails<\/label><label for='ays-answer-139-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['29'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">We can describe the necklace as follows: 'M' represents mussels, and 'S' represents snails. The sequence is:<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">MMS S SMMS S SMMS S SMM<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">In total, 8 mussels and 9 snails have been used. However, neither type is sufficient to create a longer chain. This leaves Paula with 1 mussel and 2 snails for her crafting projects.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>We can describe the necklace as follows: 'M' represents mussels, and 'S' represents snails. The sequence is:<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>MMS S SMMS S SMMS S SMM<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>In total, 8 mussels and 9 snails have been used. However, neither type is sufficient to create a longer chain. This leaves Paula with 1 mussel and 2 snails for her crafting projects.<\/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='31' 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;'>2024 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>13. <\/p>\n<p style=\"text-align: left\">Jan found out what Paula wishes for her birthday: a stuffed cat. Now Tim, Nele and Jan pick out a stuffed cat for Paula.<br \/>\nJan says: \u201cThe fur should be brown.\u201d<br \/>\nTim wishes: \u201cBut the paws should be white.\u201d<br \/>\nNele adds: \u201cYes, and the tip of the tail should be white and the fur should not be striped.\u201d<br \/>\nWhich stuffed cat fits all the wishes?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59224\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-12-221036-590x507.png\" alt=\"\" width=\"590\" height=\"507\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-12-221036.png 590w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-12-221036-300x258.png 300w\" sizes=\"auto, (max-width: 590px) 100vw, 590px\" \/><\/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-31]' id='ays-answer-145-4' value='145'\/>\n\n                <label for='ays-answer-145-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf84<\/label><label for='ays-answer-145-4' 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-31]' id='ays-answer-146-4' value='146'\/>\n\n                <label for='ays-answer-146-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf1f<\/label><label for='ays-answer-146-4' 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-31]' id='ays-answer-147-4' value='147'\/>\n\n                <label for='ays-answer-147-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udece<\/label><label for='ays-answer-147-4' 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-31]' id='ays-answer-148-4' value='148'\/>\n\n                <label for='ays-answer-148-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udd6f<\/label><label for='ays-answer-148-4' 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-31]' id='ays-answer-149-4' value='149'\/>\n\n                <label for='ays-answer-149-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\u2665<\/label><label for='ays-answer-149-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['31'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">The three cats at <\/span><\/em><span style=\"color: #808080\">\ud83c\udf84<\/span><em><span style=\"color: #808080\">, <\/span><\/em><span style=\"color: #808080\">\ud83c\udf1f<\/span><em><span style=\"color: #808080\">, and <\/span><\/em><span style=\"color: #808080\">\u2665<\/span><em><span style=\"color: #808080\">\u00a0 all have brown fur. Among them, the plush cats at <\/span><\/em><span style=\"color: #808080\">\ud83c\udf84<\/span><em><span style=\"color: #808080\"> and \ud83c\udf1f have white paws. Of these two, only the cat at <\/span><\/em><span style=\"color: #808080\">\ud83c\udf84<\/span><em><span style=\"color: #808080\"> also has a white-tipped tail.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">The three cats at <\/span><\/em><span style=\"color: #808080\">\ud83c\udf84<\/span><em><span style=\"color: #808080\">, <\/span><\/em><span style=\"color: #808080\">\ud83c\udf1f<\/span><em><span style=\"color: #808080\">, and <\/span><\/em><span style=\"color: #808080\">\u2665<\/span><em><span style=\"color: #808080\">\u00a0 all have brown fur. Among them, the plush cats at <\/span><\/em><span style=\"color: #808080\">\ud83c\udf84<\/span><em><span style=\"color: #808080\"> and \ud83c\udf1f have white paws. Of these two, only the cat at <\/span><\/em><span style=\"color: #808080\">\ud83c\udf84<\/span><em><span style=\"color: #808080\"> also has a white-tipped tail.<\/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='33' 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;'>2024 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>14. <\/p>\n<p style=\"text-align: left\">When Nele, Paula, Tim and Jan walk past the bakery, there are 2 dogs there and they look at the shop window. They see their reflection in the window.<br \/>\nWhich picture is the reflection of the two dogs?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59226\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-14-062843-344x312.png\" alt=\"\" width=\"344\" height=\"312\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-14-062843.png 344w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-14-062843-300x272.png 300w\" sizes=\"auto, (max-width: 344px) 100vw, 344px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59227\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-14-062925-614x598.png\" alt=\"\" width=\"614\" height=\"598\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-14-062925.png 614w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-14-062925-300x292.png 300w\" sizes=\"auto, (max-width: 614px) 100vw, 614px\" \/><\/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-33]' id='ays-answer-155-4' value='155'\/>\n\n                <label for='ays-answer-155-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udece<\/label><label for='ays-answer-155-4' 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-33]' id='ays-answer-156-4' value='156'\/>\n\n                <label for='ays-answer-156-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udd6f<\/label><label for='ays-answer-156-4' 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-33]' id='ays-answer-157-4' value='157'\/>\n\n                <label for='ays-answer-157-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf1f<\/label><label for='ays-answer-157-4' 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-33]' id='ays-answer-158-4' value='158'\/>\n\n                <label for='ays-answer-158-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\u2665<\/label><label for='ays-answer-158-4' 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-33]' id='ays-answer-159-4' value='159'\/>\n\n                <label for='ays-answer-159-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf84<\/label><label for='ays-answer-159-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['33'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>When you look in the mirror, you see the dachshund on the left and the husky on the right. This applies to the pictures at \ud83d\udece, \ud83d\udd6f , and \ud83c\udf1f. The picture is not the mirror image, because the husky is standing there.<\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>The dachshund's dog leash is in exactly the same direction as the dachshund is standing.<\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>This is drawn incorrectly in the picture \ud83d\udece. The husky's lead also points in the wrong direction in this picture. The \ud83c\udf1f is a mirror image.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>When you look in the mirror, you see the dachshund on the left and the husky on the right. This applies to the pictures at \ud83d\udece, \ud83d\udd6f , and \ud83c\udf1f. The picture is not the mirror image, because the husky is standing there.<\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>The dachshund's dog leash is in exactly the same direction as the dachshund is standing.<\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>This is drawn incorrectly in the picture \ud83d\udece. The husky's lead also points in the wrong direction in this picture. The \ud83c\udf1f is a mirror image.<\/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='35' 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;'>2024 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>15. <\/p>\n<p style=\"text-align: left\">After school, Paula, Nele, Tim and Jan walk through a small park.<br \/>\n\u201cLook, molehills,\u201d says Paula.<br \/>\n\u201cYes, 4 of them,\u201d Nele counts.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59230\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-14-223740-719x206.png\" alt=\"\" width=\"719\" height=\"206\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-14-223740.png 719w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-14-223740-300x86.png 300w\" sizes=\"auto, (max-width: 719px) 100vw, 719px\" \/><\/p>\n<p style=\"text-align: left\">\u201cI wonder if there is always a connecting tunnel from every hill to every other hill,\u201d Tim thinks aloud.<br \/>\nHow many tunnels would that be?<\/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-35]' id='ays-answer-165-4' value='165'\/>\n\n                <label for='ays-answer-165-4' class='  ays_position_initial  ays-quiz-keyboard-label'>10<\/label><label for='ays-answer-165-4' 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-35]' id='ays-answer-166-4' value='166'\/>\n\n                <label for='ays-answer-166-4' class='  ays_position_initial  ays-quiz-keyboard-label'>9<\/label><label for='ays-answer-166-4' 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-35]' id='ays-answer-167-4' value='167'\/>\n\n                <label for='ays-answer-167-4' class='  ays_position_initial  ays-quiz-keyboard-label'>8<\/label><label for='ays-answer-167-4' 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-35]' id='ays-answer-168-4' value='168'\/>\n\n                <label for='ays-answer-168-4' class='  ays_position_initial  ays-quiz-keyboard-label'>7<\/label><label for='ays-answer-168-4' 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-35]' id='ays-answer-169-4' value='169'\/>\n\n                <label for='ays-answer-169-4' class='  ays_position_initial  ays-quiz-keyboard-label'>6<\/label><label for='ays-answer-169-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['35'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>We connect each molehills in the picture to each other and count the connections. There are 6.<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59231\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-14-224518-201x223.png\" alt=\"\" width=\"201\" height=\"223\" \/><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>We connect each molehills in the picture to each other and count the connections. There are 6.<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59231\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-14-224518-201x223.png\" alt=\"\" width=\"201\" height=\"223\" \/><\/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='38' 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;'>2024 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>16. <\/p>\n<p style=\"text-align: left\">\u201cYesterday I was at Ludwig\u2019s,\u201d Tim recounts.<br \/>\n\u201cHave you seen his two mice?\u201d asks Nele.<br \/>\n\u201cThey are called Alpha and Omega,\u201d Paula remembers.<br \/>\n\u201cYes, like the first and the last letter in the Greek alphabet,\u201d Jan knows.<br \/>\nTim helped Ludwig to build a race track for the mice. It consists of a square and a triangle. The sides of the triangle are the same length as the sides of the<br \/>\nsquare.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59238\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-191425-459x268.png\" alt=\"\" width=\"459\" height=\"268\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-191425.png 459w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-191425-300x175.png 300w\" sizes=\"auto, (max-width: 459px) 100vw, 459px\" \/><\/p>\n<p style=\"text-align: left\">Alpha in red always runs in the square all around in the direction of the arrow.<br \/>\nOmega in green always runs in the triangle all around in the direction of the arrow.<br \/>\nAlpha and Omega are equally fast. They start at the same time at point A.<br \/>\nAt which point will they meet the next time?<\/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-38]' id='ays-answer-180-4' value='180'\/>\n\n                <label for='ays-answer-180-4' class='  ays_position_initial  ays-quiz-keyboard-label'>at point A<\/label><label for='ays-answer-180-4' 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-38]' id='ays-answer-181-4' value='181'\/>\n\n                <label for='ays-answer-181-4' class='  ays_position_initial  ays-quiz-keyboard-label'>at point B<\/label><label for='ays-answer-181-4' 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-38]' id='ays-answer-182-4' value='182'\/>\n\n                <label for='ays-answer-182-4' class='  ays_position_initial  ays-quiz-keyboard-label'>at point C<\/label><label for='ays-answer-182-4' 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-38]' id='ays-answer-183-4' value='183'\/>\n\n                <label for='ays-answer-183-4' class='  ays_position_initial  ays-quiz-keyboard-label'>at point D<\/label><label for='ays-answer-183-4' 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-38]' id='ays-answer-184-4' value='184'\/>\n\n                <label for='ays-answer-184-4' class='  ays_position_initial  ays-quiz-keyboard-label'>at point E<\/label><label for='ays-answer-184-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['38'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Since all sides of the square and triangle are of equal length, Omega completes one full loop around the triangle by the time Alpha reaches point D. At this point, both sides move toward each other and meet precisely at the midpoint between points A and D, which is point B.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Since all sides of the square and triangle are of equal length, Omega completes one full loop around the triangle by the time Alpha reaches point D. At this point, both sides move toward each other and meet precisely at the midpoint between points A and D, which is point B.<\/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='41' 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;'>2024 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>17. <\/p>\n<p style=\"text-align: left\">At the weekend, the children go on a trip to a children\u2019s farm.<br \/>\nJan and Tim are allowed to collect the freshly laid eggs.<br \/>\nNele and Paula have discovered a board. On it is written down how many white and how many brown eggs have been laid every day.<br \/>\n\u201cYesterday, on Friday (Freitag in German), 5 white and 10 brown eggs were laid,\u201d Paula reads out.<br \/>\n\u201cTwice as many brown eggs as white eggs,\u201d Nele calculates.<br \/>\nJan writes down today\u2019s numbers.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59244\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-223724-481x366.png\" alt=\"\" width=\"481\" height=\"366\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-223724.png 481w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-223724-300x228.png 300w\" sizes=\"auto, (max-width: 481px) 100vw, 481px\" \/><\/p>\n<p style=\"text-align: left\">\u201cToday it is the other way round. There are twice as many white eggs as brown eggs,\u201d Tim notes.<br \/>\nHow many eggs did the hens lay in total today, on Saturday (Samstag in German)?<\/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-41]' id='ays-answer-195-4' value='195'\/>\n\n                <label for='ays-answer-195-4' class='  ays_position_initial  ays-quiz-keyboard-label'>13<\/label><label for='ays-answer-195-4' 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-41]' id='ays-answer-196-4' value='196'\/>\n\n                <label for='ays-answer-196-4' class='  ays_position_initial  ays-quiz-keyboard-label'>15<\/label><label for='ays-answer-196-4' 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-41]' id='ays-answer-197-4' value='197'\/>\n\n                <label for='ays-answer-197-4' class='  ays_position_initial  ays-quiz-keyboard-label'>16<\/label><label for='ays-answer-197-4' 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-41]' id='ays-answer-198-4' value='198'\/>\n\n                <label for='ays-answer-198-4' class='  ays_position_initial  ays-quiz-keyboard-label'>18<\/label><label for='ays-answer-198-4' 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-41]' id='ays-answer-199-4' value='199'\/>\n\n                <label for='ays-answer-199-4' class='  ays_position_initial  ays-quiz-keyboard-label'>19<\/label><label for='ays-answer-199-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['41'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>On Saturday, the number of white eggs is double that of the brown eggs. Since the board indicates there are 12 white eggs, this means there are 6 brown eggs. Therefore, the total number of eggs laid by the hens on Saturday is 12 (white) + 6 (brown) = 18 eggs.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">On Saturday, the number of white eggs is double that of the brown eggs. Since the board indicates there are 12 white eggs, this means there are 6 brown eggs. Therefore, the total number of eggs laid by the hens on Saturday is 12 (white) + 6 (brown) = 18 eggs.<\/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='43' 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;'>2024 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, Tim, Jan and Paula saw a film on TV about animals in the savannah. They found the zebras most interesting.<br \/>\n\u201cThe black lines are of different thicknesses,\u201d Nele notes.<br \/>\n\u201cI\u2019m sure you can tell the zebras apart by the lines,\u201d says Tim.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59245\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-224504-355x311.png\" alt=\"\" width=\"355\" height=\"311\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-224504.png 355w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-224504-300x263.png 300w\" sizes=\"auto, (max-width: 355px) 100vw, 355px\" \/><\/p>\n<p style=\"text-align: left\">Which detail can be found in the zebra?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59246\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-224550-573x246.png\" alt=\"\" width=\"573\" height=\"246\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-224550.png 573w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-224550-300x129.png 300w\" sizes=\"auto, (max-width: 573px) 100vw, 573px\" \/><\/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-43]' id='ays-answer-205-4' value='205'\/>\n\n                <label for='ays-answer-205-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf84<\/label><label for='ays-answer-205-4' 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-43]' id='ays-answer-206-4' value='206'\/>\n\n                <label for='ays-answer-206-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf1f<\/label><label for='ays-answer-206-4' 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-43]' id='ays-answer-207-4' value='207'\/>\n\n                <label for='ays-answer-207-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\u2665<\/label><label for='ays-answer-207-4' 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-43]' id='ays-answer-208-4' value='208'\/>\n\n                <label for='ays-answer-208-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udd6f<\/label><label for='ays-answer-208-4' 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-43]' id='ays-answer-209-4' value='209'\/>\n\n                <label for='ays-answer-209-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udece<\/label><label for='ays-answer-209-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['43'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The image displays the solution:<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59247\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-18-071522-272x240.png\" alt=\"\" width=\"272\" height=\"240\" \/><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The image displays the solution:<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59247\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-18-071522-272x240.png\" alt=\"\" width=\"272\" height=\"240\" \/><\/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='45' 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;'>2024 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>19. <\/p>\n<p style=\"text-align: left\">Paula, Tim, Jan and Nele are playing with Jan\u2019s cat in the snow.<br \/>\nThey sing \u2018ABC, the cat ran in the snow\u2019 and draw letters in the snow.<br \/>\nAfterwards they look at their work.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59250\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-070030-693x309.png\" alt=\"\" width=\"693\" height=\"309\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-070030.png 693w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-070030-300x134.png 300w\" sizes=\"auto, (max-width: 693px) 100vw, 693px\" \/><\/p>\n<p style=\"text-align: left\">How often has the letter A been drawn in the snow?<\/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-45]' id='ays-answer-215-4' value='215'\/>\n\n                <label for='ays-answer-215-4' class='  ays_position_initial  ays-quiz-keyboard-label'>2 times<\/label><label for='ays-answer-215-4' 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-45]' id='ays-answer-216-4' value='216'\/>\n\n                <label for='ays-answer-216-4' class='  ays_position_initial  ays-quiz-keyboard-label'>3 times<\/label><label for='ays-answer-216-4' 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-45]' id='ays-answer-217-4' value='217'\/>\n\n                <label for='ays-answer-217-4' class='  ays_position_initial  ays-quiz-keyboard-label'>4 times<\/label><label for='ays-answer-217-4' 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-45]' id='ays-answer-218-4' value='218'\/>\n\n                <label for='ays-answer-218-4' class='  ays_position_initial  ays-quiz-keyboard-label'>5 times<\/label><label for='ays-answer-218-4' 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-45]' id='ays-answer-219-4' value='219'\/>\n\n                <label for='ays-answer-219-4' class='  ays_position_initial  ays-quiz-keyboard-label'>6 times<\/label><label for='ays-answer-219-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['45'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The Five A's Identified in the Picture<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59251\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-070914-414x189.png\" alt=\"\" width=\"414\" height=\"189\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-070914.png 414w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-070914-300x137.png 300w\" sizes=\"auto, (max-width: 414px) 100vw, 414px\" \/><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p><span style=\"color: #808080\"><em>The Five A's Identified in the Picture<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59251\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-070914-414x189.png\" alt=\"\" width=\"414\" height=\"189\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-070914.png 414w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-070914-300x137.png 300w\" sizes=\"auto, (max-width: 414px) 100vw, 414px\" \/><\/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='47' 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;'>2024 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>20. <\/p>\n<p style=\"text-align: left\">Tim, Paula, Jan and Nele watch the penguins being fed in the zoo.<br \/>\nWhen the keeper puts the bucket down, a penguin steals 2 fish.<br \/>\nThe keeper pours 10 fish into a bowl.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59258\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-132411-573x204.png\" alt=\"\" width=\"573\" height=\"204\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-132411.png 573w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-132411-300x107.png 300w\" sizes=\"auto, (max-width: 573px) 100vw, 573px\" \/><\/p>\n<p style=\"text-align: left\">And already a penguin grabs a fish from the bowl. There are now 3 fish left in the bucket.<br \/>\nHow many fish were there at the beginning?<\/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-47]' id='ays-answer-225-4' value='225'\/>\n\n                <label for='ays-answer-225-4' class='  ays_position_initial  ays-quiz-keyboard-label'>11<\/label><label for='ays-answer-225-4' 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-47]' id='ays-answer-226-4' value='226'\/>\n\n                <label for='ays-answer-226-4' class='  ays_position_initial  ays-quiz-keyboard-label'>12<\/label><label for='ays-answer-226-4' 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-47]' id='ays-answer-227-4' value='227'\/>\n\n                <label for='ays-answer-227-4' class='  ays_position_initial  ays-quiz-keyboard-label'>13<\/label><label for='ays-answer-227-4' 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-47]' id='ays-answer-228-4' value='228'\/>\n\n                <label for='ays-answer-228-4' class='  ays_position_initial  ays-quiz-keyboard-label'>15<\/label><label for='ays-answer-228-4' 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-47]' id='ays-answer-229-4' value='229'\/>\n\n                <label for='ays-answer-229-4' class='  ays_position_initial  ays-quiz-keyboard-label'>17<\/label><label for='ays-answer-229-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['47'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>At the beginning, the bucket contained:<\/em><\/span><\/p>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>2 fish that are stolen,<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>10 fish that the keeper pours into the bowl, and<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>3 fish that remain in the bucket at the end. <\/em><\/span><\/li>\n<\/ul>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Adding these together gives:<\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>2+10+3=15.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Thus, the bucket originally held 15 fish.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>At the beginning, the bucket contained:<\/em><\/span><\/p>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>2 fish that are stolen,<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>10 fish that the keeper pours into the bowl, and<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>3 fish that remain in the bucket at the end. <\/em><\/span><\/li>\n<\/ul>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Adding these together gives:<\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>2+10+3=15.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Thus, the bucket originally held 15 fish.<\/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='49' 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;'>2024 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 walked through the settlement with Tim and Paula. There are still remnants of Halloween at the last house.<br \/>\nJan tells Nele: \u201cThe big spider web with a spider and 2 flies is still hanging there.\u201d<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59261\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-162614-503x264.png\" alt=\"\" width=\"503\" height=\"264\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-162614.png 503w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-162614-300x157.png 300w\" sizes=\"auto, (max-width: 503px) 100vw, 503px\" \/><\/p>\n<p style=\"text-align: left\">\u201cI wanted to count the legs, but then I ran after Tim and Paula,\u201d he continues.<br \/>\n\u201cWell, that\u2019s not difficult,\u201d says Nele, \u201cwe can work that out. Spiders have 8 legs and flies 6.\u201d<br \/>\nHow many legs are there 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-49]' id='ays-answer-235-4' value='235'\/>\n\n                <label for='ays-answer-235-4' class='  ays_position_initial  ays-quiz-keyboard-label'>15<\/label><label for='ays-answer-235-4' 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-49]' id='ays-answer-236-4' value='236'\/>\n\n                <label for='ays-answer-236-4' class='  ays_position_initial  ays-quiz-keyboard-label'>16<\/label><label for='ays-answer-236-4' 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-49]' id='ays-answer-237-4' value='237'\/>\n\n                <label for='ays-answer-237-4' class='  ays_position_initial  ays-quiz-keyboard-label'>17<\/label><label for='ays-answer-237-4' 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-49]' id='ays-answer-238-4' value='238'\/>\n\n                <label for='ays-answer-238-4' class='  ays_position_initial  ays-quiz-keyboard-label'>18<\/label><label for='ays-answer-238-4' 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-49]' id='ays-answer-239-4' value='239'\/>\n\n                <label for='ays-answer-239-4' class='  ays_position_initial  ays-quiz-keyboard-label'>20<\/label><label for='ays-answer-239-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['49'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>A spider has 8 legs, and each fly has 6 legs. <\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Together, a spider and two flies have:<\/em><\/span><br \/>\n<span style=\"color: #808080\"><em><span class=\"katex\"><span class=\"katex-mathml\">8+6+6=20 legs.<\/span><\/span><\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Thus, a spider and two flies have a total of <strong>20 legs<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>A spider has 8 legs, and each fly has 6 legs. <\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Together, a spider and two flies have:<\/em><\/span><br \/>\n<span style=\"color: #808080\"><em><span class=\"katex\"><span class=\"katex-mathml\">8+6+6=20 legs.<\/span><\/span><\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Thus, a spider and two flies have a total of <strong>20 legs<\/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='51' 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;'>2024 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 and Tim have seen a film about animals in the polar zone. The large walruses live together in hundreds. Because of global warming, they have to<br \/>\nmove further and further north. Otherwise they won\u2019t find any ice floes on which to give birth to their pups.<br \/>\nPaula draws several walruses on cardboard.<br \/>\nJan cuts out the walruses. Then he cuts them into pieces.<br \/>\nSeveral puzzles are created.<br \/>\nNele puzzles the walrus in the picture.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59263\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-220728-347x250.png\" alt=\"\" width=\"347\" height=\"250\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-220728.png 347w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-220728-300x216.png 300w\" sizes=\"auto, (max-width: 347px) 100vw, 347px\" \/><\/p>\n<p style=\"text-align: left\">Which of the parts did she use for this?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59264\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-220837-561x353.png\" alt=\"\" width=\"561\" height=\"353\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-220837.png 561w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-220837-300x189.png 300w\" sizes=\"auto, (max-width: 561px) 100vw, 561px\" \/><\/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-51]' id='ays-answer-245-4' value='245'\/>\n\n                <label for='ays-answer-245-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf84<\/label><label for='ays-answer-245-4' 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-51]' id='ays-answer-246-4' value='246'\/>\n\n                <label for='ays-answer-246-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udd6f<\/label><label for='ays-answer-246-4' 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-51]' id='ays-answer-247-4' value='247'\/>\n\n                <label for='ays-answer-247-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\u2665<\/label><label for='ays-answer-247-4' 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-51]' id='ays-answer-248-4' value='248'\/>\n\n                <label for='ays-answer-248-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udece<\/label><label for='ays-answer-248-4' 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-51]' id='ays-answer-249-4' value='249'\/>\n\n                <label for='ays-answer-249-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf1f<\/label><label for='ays-answer-249-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['51'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The fin at \ud83d\udece matches the walrus pictured.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The fin at \ud83d\udece matches the walrus pictured.<\/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='53' 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;'>2024 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>23. <\/p>\n<p style=\"text-align: left\">Paula, Tim, Nele and Jan visit a reindeer enclosure. Both male and female reindeer have antlers. They shed them every year. Then they grow new ones.<br \/>\n\u201cThe antlers have many ends \u2013 these are the tips on the antlers,\u201d Jan explains.<br \/>\nThere are 5 reindeer standing close together in front.<br \/>\nWhich reindeer has the antlers with the second most ends?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59266\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-222151-635x458.png\" alt=\"\" width=\"635\" height=\"458\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-222151.png 635w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-222151-300x216.png 300w\" sizes=\"auto, (max-width: 635px) 100vw, 635px\" \/><\/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-53]' id='ays-answer-255-4' value='255'\/>\n\n                <label for='ays-answer-255-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udece<\/label><label for='ays-answer-255-4' 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-53]' id='ays-answer-256-4' value='256'\/>\n\n                <label for='ays-answer-256-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83d\udd6f<\/label><label for='ays-answer-256-4' 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-53]' id='ays-answer-257-4' value='257'\/>\n\n                <label for='ays-answer-257-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\u2665<\/label><label for='ays-answer-257-4' 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-53]' id='ays-answer-258-4' value='258'\/>\n\n                <label for='ays-answer-258-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf84<\/label><label for='ays-answer-258-4' 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-53]' id='ays-answer-259-4' value='259'\/>\n\n                <label for='ays-answer-259-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf1f<\/label><label for='ays-answer-259-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['53'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>We count the ends of each reindeer.<\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>For \ud83d\udece there are 14 ends, for \ud83d\udd6f 8 ends, for \u2665 18 ends, for \ud83c\udf84 6 ends, <\/em><\/span><span style=\"color: #808080\"><em>and \ud83c\udf1f16 ends. <\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>\ud83c\udf1f has the antlers with the second-most ends.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>We count the ends of each reindeer.<\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>For \ud83d\udece there are 14 ends, for \ud83d\udd6f 8 ends, for \u2665 18 ends, for \ud83c\udf84 6 ends, <\/em><\/span><span style=\"color: #808080\"><em>and \ud83c\udf1f16 ends. <\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>\ud83c\udf1f has the antlers with the second-most ends.<\/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='55' 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;'>2024 Math Kangaroo Advent Calendar Mini<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>24. <\/p>\n<p style=\"text-align: left\">Now the time has come, it\u2019s Christmas Eve. A few days ago, the holidays began for Tim, Paula, Nele and Jan.<br \/>\nEvery day since 1 December, the 4 friends have had a little task. They puzzled together and then entered their result in the solution grid.<br \/>\nThey notice a special order.<\/p>\n<p style=\"text-align: left\">The pattern begins with \ud83c\udf84\ud83d\udd6f . These two pictures follow in reverse order \ud83d\udd6f \ud83c\udf84.<br \/>\nThen come \u2665 \ud83c\udf1f, followed by these two pictures in reverse order \ud83c\udf1f \u2665.<br \/>\nNow comes the last small picture \ud83d\udece, and for this we take again the 1st small picture \ud83c\udf84 , followed by these two pictures in reverse order \ud83c\udf84\ud83d\udece.<br \/>\nAnd so it goes on according to the rule, so that the pictures alternate in sequence in the combination of 4. Next, therefore, are \ud83d\udd6f and \u2665 in the combination of 4. The pattern closes after 20 December with the first 3 different small pictures \ud83c\udf84, \ud83d\udd6f and \u2665 .<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59268\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-20-055337-521x45.png\" alt=\"\" width=\"521\" height=\"45\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-20-055337.png 521w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-20-055337-300x26.png 300w\" sizes=\"auto, (max-width: 521px) 100vw, 521px\" \/><\/p>\n<h4>Who has the correct solution picture like Tim, Paula, Nele and Jan?<\/h4>\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-55]' id='ays-answer-265-4' value='265'\/>\n\n                <label for='ays-answer-265-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf84\ud83d\udd6f\ud83d\udd6f \ud83c\udf84\u2665 \ud83c\udf1f\ud83c\udf1f \u2665\ud83d\udece\ud83c\udf84\ud83c\udf84\ud83d\udece\ud83d\udd6f\u2665 \u2665 \ud83d\udd6f\ud83c\udf1f\ud83d\udece\ud83d\udece\ud83c\udf1f\ud83c\udf84\ud83c\udf84 \u2665<\/label><label for='ays-answer-265-4' 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-55]' id='ays-answer-266-4' value='266'\/>\n\n                <label for='ays-answer-266-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf84\ud83d\udd6f\ud83d\udd6f \ud83c\udf84\u2665 \ud83c\udf1f\ud83c\udf1f \u2665\ud83d\udece\ud83c\udf84\ud83c\udf84\ud83d\udece\ud83d\udd6f\u2665 \u2665 \ud83d\udd6f\ud83c\udf1f\ud83d\udece\ud83d\udece\ud83c\udf1f\ud83c\udf84 \u2665 \u2665<\/label><label for='ays-answer-266-4' 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-55]' id='ays-answer-267-4' value='267'\/>\n\n                <label for='ays-answer-267-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf84\ud83d\udd6f\ud83d\udd6f \ud83c\udf84\u2665 \ud83c\udf1f\ud83c\udf1f \u2665\ud83d\udece\ud83c\udf84\ud83c\udf84\ud83d\udece\ud83d\udd6f\u2665 \u2665 \ud83d\udd6f\ud83c\udf1f\ud83d\udece\ud83d\udece\ud83c\udf1f\ud83c\udf84\ud83d\udd6f\ud83d\udd6f<\/label><label for='ays-answer-267-4' 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-55]' id='ays-answer-268-4' value='268'\/>\n\n                <label for='ays-answer-268-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf84\ud83d\udd6f\ud83d\udd6f \ud83c\udf84\u2665 \ud83c\udf1f\ud83c\udf1f \u2665\ud83d\udece\ud83c\udf84\ud83c\udf84\ud83d\udece\ud83d\udd6f\u2665 \u2665 \ud83d\udd6f\ud83c\udf1f\ud83d\udece\ud83d\udece\ud83c\udf1f\ud83c\udf84\ud83d\udd6f\u2665<\/label><label for='ays-answer-268-4' 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-55]' id='ays-answer-270-4' value='270'\/>\n\n                <label for='ays-answer-270-4' class='  ays_position_initial  ays-quiz-keyboard-label'>\ud83c\udf84\ud83d\udd6f\ud83d\udd6f \ud83c\udf84\u2665 \ud83c\udf1f\ud83c\udf1f \u2665\ud83d\udece\ud83c\udf84\ud83c\udf84\ud83d\udece\ud83d\udd6f\u2665 \u2665 \ud83d\udd6f\ud83c\udf1f\ud83d\udece\ud83d\udece\ud83c\udf1f\ud83c\udf84 \ud83c\udf84\ud83c\udf84<\/label><label for='ays-answer-270-4' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_4 === 'undefined'){\n                window.quizOptions_4 = [];\n            }\n            window.quizOptions_4['55'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The correct order of the solution pictures is:<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59269\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-20-064253-613x29.png\" alt=\"\" width=\"613\" height=\"29\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-20-064253.png 613w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-20-064253-300x14.png 300w\" sizes=\"auto, (max-width: 613px) 100vw, 613px\" \/><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The correct order of the solution pictures is:<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59269\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-20-064253-613x29.png\" alt=\"\" width=\"613\" height=\"29\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-20-064253.png 613w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-20-064253-300x14.png 300w\" sizes=\"auto, (max-width: 613px) 100vw, 613px\" \/><\/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-4 * {\n                box-sizing: border-box;\n            }\n\n            #ays-quiz-container-4 [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-4 #ays_finish_quiz_4 {\n                \n            }\n\n            \/* Styles for Quiz container *\/\n            #ays-quiz-container-4{\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-4 #ays_finish_quiz_4 div.step {\n                min-height: 450px;\n            }\n\n            \/* Styles for text inside quiz container *\/\n            #ays-quiz-container-4 .ays-start-page *:not(input):not([class^='enlighter']),\n            #ays-quiz-container-4 .ays_question_hint,\n            #ays-quiz-container-4 label[for^=\"ays-answer-\"],\n            #ays-quiz-container-4 #ays_finish_quiz_4 p,\n            #ays-quiz-container-4 #ays_finish_quiz_4 .ays-fs-title,\n            #ays-quiz-container-4 .ays-fs-subtitle,\n            #ays-quiz-container-4 .logged_in_message,\n            #ays-quiz-container-4 .ays_score_message,\n            #ays-quiz-container-4 .ays_message{\n               color: #000000;\n               outline: none;\n            }\n\n            div#ays-quiz-container-4 .ays_question_hint.ays-quiz-keyboard-active,\n            div#ays-quiz-container-4 .ays_restart_button.ays-quiz-keyboard-active {\n                outline: revert;\n            }\n\n            #ays-quiz-container-4 .ays-quiz-password-message-box,\n            #ays-quiz-container-4 .ays-quiz-question-note-message-box,\n            #ays-quiz-container-4 .ays_quiz_question,\n            #ays-quiz-container-4 .ays-quiz-question-category-box,\n            #ays-quiz-container-4 .ays_quiz_question *:not([class^='enlighter']) {\n                color: #000000;\n            }\n\n            #ays-quiz-container-4 .ays-quiz-question-category-box em {\n                color: #000000;\n            }\n\n            #ays-quiz-container-4 textarea,\n            #ays-quiz-container-4 input::first-letter,\n            #ays-quiz-container-4 select::first-letter,\n            #ays-quiz-container-4 option::first-letter {\n                color: initial !important;\n            }\n            \n            #ays-quiz-container-4 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-4 .select2-container,\n            #ays-quiz-container-4 .ays-field * {\n                font-size: 16px !important;\n            }\n    \n            #ays-quiz-container-4 .ays_quiz_question p {\n                font-size: 16px;\n                text-align: inherit;\n            }\n\n            #ays-quiz-container-4 .ays-fs-subtitle p {\n                text-align:  center ;\n            }\n\n            #ays-quiz-container-4 .ays_quiz_question {\n                text-align:  center ;\n                margin-bottom: 10px;\n            }\n\n            #ays-quiz-container-4 .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-4 .ays_quiz_question img {\n                float: unset;\n                margin: 0;\n            }\n            \/* Mango theme (Version: 1.4.202301041836) | End *\/\n\n            #ays-quiz-container-4 .ays-quiz-timer p {\n                font-size: 16px;\n            }\n\n            #ays-quiz-container-4 section.ays_quiz_redirection_timer_container hr,\n            #ays-quiz-container-4 section.ays_quiz_timer_container hr {\n                margin: 0;\n            }\n\n            #ays-quiz-container-4 section.ays_quiz_timer_container.ays_quiz_timer_red_warning .ays-quiz-timer {\n                color: #ff0000;\n            }\n\n            #ays-quiz-container-4 .ays_thank_you_fs p {\n                text-align: center;\n            }\n\n            #ays-quiz-container-4 .ays_quiz_results_page .ays_score span {\n                visibility: visible;\n            }\n\n            #ays-quiz-container-4 input[type='button'],\n            #ays-quiz-container-4 input[type='submit'] {\n                color: #ffffff !important;\n            }\n\n            #ays-quiz-container-4 input[type='button']{\n                outline: none;\n            }\n\n            #ays-quiz-container-4 .information_form input[type='text'],\n            #ays-quiz-container-4 .information_form input[type='url'],\n            #ays-quiz-container-4 .information_form input[type='number'],\n            #ays-quiz-container-4 .information_form input[type='email'],\n            #ays-quiz-container-4 .information_form input[type='checkbox'],\n            #ays-quiz-container-4 .information_form input[type='tel'],\n            #ays-quiz-container-4 .information_form textarea,\n            #ays-quiz-container-4 .information_form select,\n            #ays-quiz-container-4 .information_form option {\n                color: initial !important;\n                outline: none;\n                background-image: unset;\n            }\n\n            #ays-quiz-container-4 .wrong_answer_text{\n                color:#ff4d4d;\n            }\n            #ays-quiz-container-4 .right_answer_text{\n                color:#33cc33;\n            }\n\n            #ays-quiz-container-4 .wrong_answer_text p {\n                font-size:16px;\n            }\n\n            #ays-quiz-container-4 .ays_questtion_explanation p {\n                font-size:16px;\n            }\n\n            #ays-quiz-container-4 .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-4 .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-4 .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-4 .right_answer_text p {\n                font-size:16px;\n            }\n\n            #ays-quiz-container-4 .ays-quiz-question-note-message-box p {\n                font-size:14px;\n            }\n\n            #ays-quiz-container-4 .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-4 .ays_cb_and_a,\n            #ays-quiz-container-4 .ays_cb_and_a * {\n                color: rgb(0,0,0);\n                text-align: center;\n            }\n\n            \/* Quiz textarea height *\/\n            #ays-quiz-container-4 textarea {\n                height: 100px;\n                min-height: 100px;\n            }\n\n            \/* Quiz rate and passed users count *\/\n            #ays-quiz-container-4 .ays_quizn_ancnoxneri_qanak,\n            #ays-quiz-container-4 .ays_quiz_rete_avg {\n                color:#ffffff !important;\n                background-color:#000000;   \n            }\n\n            #ays-quiz-container-4 .ays-questions-container > .ays_quizn_ancnoxneri_qanak {\n                padding: 5px 20px;\n            }\n            #ays-quiz-container-4 div.for_quiz_rate.ui.star.rating .icon {\n                color: rgba(0,0,0,0.35);\n            }\n            #ays-quiz-container-4 .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-4 .ays_quiz_rete .ays-quiz-rate-link-box .ays-quiz-rate-link {\n                color: #000000;\n            }\n\n            \/* Loaders *\/            \n            #ays-quiz-container-4 div.lds-spinner,\n            #ays-quiz-container-4 div.lds-spinner2 {\n                color: #000000;\n            }\n            #ays-quiz-container-4 div.lds-spinner div:after,\n            #ays-quiz-container-4 div.lds-spinner2 div:after {\n                background-color: #000000;\n            }\n            #ays-quiz-container-4 .lds-circle,\n            #ays-quiz-container-4 .lds-facebook div,\n            #ays-quiz-container-4 .lds-ellipsis div{\n                background: #000000;\n            }\n            #ays-quiz-container-4 .lds-ripple div{\n                border-color: #000000;\n            }\n            #ays-quiz-container-4 .lds-dual-ring::after,\n            #ays-quiz-container-4 .lds-hourglass::after{\n                border-color: #000000 transparent #000000 transparent;\n            }\n\n            \/* Stars *\/\n            #ays-quiz-container-4 .ui.rating .icon,\n            #ays-quiz-container-4 .ui.rating .icon:before {\n                font-family: Rating !important;\n            }\n\n            \/* Progress bars *\/\n            #ays-quiz-container-4 #ays_finish_quiz_4 .ays-progress {\n                border-color: rgba(0,0,0,0.8);\n            }\n            #ays-quiz-container-4 #ays_finish_quiz_4 .ays-progress-bg {\n                background-color: rgba(0,0,0,0.3);\n            }\n            #ays-quiz-container-4 . {\n                background-color: #5d6cf9;\n            }\n            #ays-quiz-container-4 . {\n                background-color: #000000;\n            }    \n            #ays-quiz-container-4 .ays-progress-value {\n                color: #000000;\n                text-align: center;\n            }\n            #ays-quiz-container-4 .ays-progress-bar {\n                background-color: #5d6cf9;\n            }\n            #ays-quiz-container-4 .ays-question-counter .ays-live-bar-wrap {\n                direction:ltr !important;\n            }\n            #ays-quiz-container-4 .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-4 .ays-live-bar-fill.ays-live-fourth,\n            #ays-quiz-container-4 .ays-live-bar-fill.ays-live-third,\n            #ays-quiz-container-4 .ays-live-bar-fill.ays-live-second {\n                text-shadow: unset;\n            }\n            #ays-quiz-container-4 .ays-live-bar-percent{\n                display:none;\n            }\n            #ays-quiz-container-4 #ays_finish_quiz_4 .ays_average {\n                text-align: center;\n            }\n            \n            \/* Music, Sound *\/\n            #ays-quiz-container-4 .ays_music_sound {\n                color:rgb(0,0,0);\n            }\n\n            \/* Dropdown questions scroll bar *\/\n            #ays-quiz-container-4 blockquote {\n                border-left-color: #000000 !important;                                      \n            }\n\n            \/* Quiz Password *\/\n            #ays-quiz-container-4 .ays-start-page > input[id^='ays_quiz_password_val_'],\n            #ays-quiz-container-4 .ays-quiz-password-toggle-visibility-box {\n                width: 100%;\n            }\n\n\n            \/* Question hint *\/\n            #ays-quiz-container-4 .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-4 .ays_question_hint_container .ays_question_hint_text p {\n                max-width: unset;\n            }\n\n            #ays-quiz-container-4 .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-4 .ays_questions_hint_max_width_class {\n                max-width: 80%;\n            }\n\n            \/* Information form *\/\n            #ays-quiz-container-4 .ays-form-title{\n                color:rgb(0,0,0);\n            }\n\n            \/* Quiz timer *\/\n            #ays-quiz-container-4 div.ays-quiz-redirection-timer,\n            #ays-quiz-container-4 div.ays-quiz-timer{\n                color: #000000;\n                text-align: center;\n            }\n\n            #ays-quiz-container-4 div.ays-quiz-timer.ays-quiz-message-before-timer:before {\n                font-weight: 500;\n            }\n\n            \/* Quiz title \/ transformation *\/\n            #ays-quiz-container-4 .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-4 .ays_arrow {\n                color:#ffffff!important;\n            }\n            #ays-quiz-container-4 input#ays-submit,\n            #ays-quiz-container-4 #ays_finish_quiz_4 .action-button,\n            div#ays-quiz-container-4 #ays_finish_quiz_4 .action-button.ays_restart_button,\n            #ays-quiz-container-4 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn,\n            #ays-quiz-container-4 .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-4 input#ays-submit,\n            #ays-quiz-container-4 #ays_finish_quiz_4 input.action-button,\n            #ays-quiz-container-4 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn,\n            #ays-quiz-container-4 .ays-quiz-category-selective-submit-bttn {\n                \n            }\n\n            #ays-quiz-container-4 #ays_finish_quiz_4 .action-button.ays_check_answer {\n                padding: 5px 10px;\n                font-size: 18px !important;\n            }\n            #ays-quiz-container-4 #ays_finish_quiz_4 .action-button.ays_restart_button {\n                white-space: nowrap;\n                padding: 5px 10px;\n                white-space: normal;\n            }\n            #ays-quiz-container-4 input#ays-submit:hover,\n            #ays-quiz-container-4 input#ays-submit:focus,\n            #ays-quiz-container-4 #ays_finish_quiz_4 .action-button:hover,\n            #ays-quiz-container-4 #ays_finish_quiz_4 .action-button:focus,\n            #ays-quiz-container-4 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn:hover,\n            #ays-quiz-container-4 .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-4 .ays_restart_button {\n                color: #ffffff;\n            }\n            \n            #ays-quiz-container-4 .ays_restart_button_p,\n            #ays-quiz-container-4 .ays_buttons_div {\n                justify-content: center;\n            }\n\n            #ays-quiz-container-4 .ays_finish.action-button{\n                margin: 10px 5px;\n            }\n\n            #ays-quiz-container-4 .ays-share-btn.ays-share-btn-branded {\n                color: #fff;\n                display: inline-block;\n            }\n\n            #ays-quiz-container-4 .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-4 .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-4 .ays_quiz_question_text_message{\n                color: #000000;\n                text-align: left;\n                font-size: 12px;\n            }\n\n            div#ays-quiz-container-4 div.ays_quiz_question_text_error_message {\n                color: #ff0000;\n            }\n\n            \/* Questions answer image *\/\n            #ays-quiz-container-4 .ays-answer-image {\n                width:15em;\n                height:150px;\n                object-fit: cover;\n            }\n            \n            #ays-quiz-container-4 .ays-quiz-answers .ays-field:hover:not(.ays-answered-text-input){\n                opacity: 1;\n            }\n            #ays-quiz-container-4 #ays_finish_quiz_4 .ays-field label.ays_answer_caption[for^='ays-answer-'] {\n                z-index: 1;\n                position:initial;bottom:0;}\n            #ays-quiz-container-4 #ays_finish_quiz_4 .ays-field input~label[for^='ays-answer-'] {\n                padding: 5px;\n            }\n\n            #ays-quiz-container-4 #ays_finish_quiz_4 .ays-field {\n                margin-bottom: 12px;\n            }\n            #ays-quiz-container-4 #ays_finish_quiz_4 .ays-field.ays_grid_view_item {\n                width: calc(50% - 6px);\n            }\n            #ays-quiz-container-4 #ays_finish_quiz_4 .ays-field.ays_grid_view_item:nth-child(odd) {\n                margin-right: 6px;\n            }\n            \n            #ays-quiz-container-4 #ays_finish_quiz_4 .ays-field input:checked+label:before {\n                border-color: #5d6cf9;\n                background: #5d6cf9;\n                background-clip: content-box;\n            }\n            #ays-quiz-container-4 .ays-quiz-answers div.ays-text-right-answer {\n                color: #000000;\n            }\n                        \n            \/* Questions answer right\/wrong icons *\/\n            #ays-quiz-container-4 .ays-field input~label.answered.correct:after{\n                content: '';          }\n            #ays-quiz-container-4 .ays-field input~label.answered.wrong:after{\n                content: '';\n            }\n            #ays-quiz-container-4 .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-4 #ays_finish_quiz_4 .ays-field .select2-container--default .select2-selection--single {\n                border-bottom: 2px solid #5d6cf9;\n                background-color: #5d6cf9;\n            }\n            \n            #ays-quiz-container-4 .ays-field .select2-container--default .select2-selection--single .select2-selection__placeholder,\n            #ays-quiz-container-4 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered,\n            #ays-quiz-container-4 .ays-field .select2-container--default .select2-selection--single .select2-selection__arrow {\n                color: #ffffff;\n            }\n\n            #ays-quiz-container-4 .select2-container--default .select2-search--dropdown .select2-search__field:focus,\n            #ays-quiz-container-4 .select2-container--default .select2-search--dropdown .select2-search__field {\n                outline: unset;\n                padding: 0.75rem;\n            }\n\n            #ays-quiz-container-4 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered,\n            #ays-quiz-container-4 .select2-container--default .select2-results__option--highlighted[aria-selected] {\n                background-color: #5d6cf9;\n            }\n\n            #ays-quiz-container-4 .ays-field .select2-container--default,\n            #ays-quiz-container-4 .ays-field .select2-container--default .selection,\n            #ays-quiz-container-4 .ays-field .select2-container--default .dropdown-wrapper,\n            #ays-quiz-container-4 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered,\n            #ays-quiz-container-4 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered .select2-selection__placeholder,\n            #ays-quiz-container-4 .ays-field .select2-container--default .select2-selection--single .select2-selection__arrow,\n            #ays-quiz-container-4 .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-4 .select2-container--default .select2-results__option {\n                padding: 6px;\n            }\n            \n            \/* Dropdown questions scroll bar *\/\n            #ays-quiz-container-4 .select2-results__options::-webkit-scrollbar {\n                width: 7px;\n            }\n            #ays-quiz-container-4 .select2-results__options::-webkit-scrollbar-track {\n                background-color: rgba(255,255,255,0.35);\n            }\n            #ays-quiz-container-4 .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-4 .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-4 .mejs-container .mejs-time{\n                box-sizing: unset;\n            }\n            #ays-quiz-container-4 .mejs-container .mejs-time-rail {\n                padding-top: 15px;\n            }\n\n            #ays-quiz-container-4 .mejs-container .mejs-mediaelement video {\n                margin: 0;\n            }\n\n            \/* Limitation *\/\n            #ays-quiz-container-4 .ays-quiz-limitation-count-of-takers {\n                padding: 50px;\n            }\n\n            #ays-quiz-container-4 div.ays-quiz-results-toggle-block span.ays-show-res-toggle.ays-res-toggle-show,\n            #ays-quiz-container-4 div.ays-quiz-results-toggle-block span.ays-show-res-toggle.ays-res-toggle-hide{\n                color: #000000;\n            }\n\n            #ays-quiz-container-4 div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle {\n                border: 1px solid #000000;\n            }\n\n            #ays-quiz-container-4 div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle {\n                border: 1px solid #000000;\n            }\n\n            #ays-quiz-container-4 div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle:after{\n                background: #000000;\n            }\n\n            #ays-quiz-container-4.ays_quiz_elegant_dark div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle:after,\n            #ays-quiz-container-4.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-4 .mejs-container .mejs-inner .mejs-controls .mejs-button > button:hover,\n            #ays-quiz-container-4 .mejs-container .mejs-inner .mejs-controls .mejs-button > button {\n                box-shadow: unset;\n                background-color: transparent;\n            }\n            #ays-quiz-container-4 .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-4 label[for^='ays-answer']:before,\n            #ays-quiz-container-4 label[for^='ays-answer']:before {\n                -webkit-mask-image: unset;\n                mask-image: unset;\n            }\n\n            #ays-quiz-container-4.ays_quiz_classic_light .ays-field input:checked+label.answered.correct:before,\n            #ays-quiz-container-4.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-4 .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-4.ays_quiz_classic_dark .correct_div,\n            #ays-quiz-container-4.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-4.ays_quiz_classic_dark .correct_div .selected-field,\n            #ays-quiz-container-4.ays_quiz_classic_light .correct_div .selected-field {\n                padding: 0px 10px 0px 10px;\n                color: green !important;\n            }\n\n            #ays-quiz-container-4.ays_quiz_classic_dark .wrong_div,\n            #ays-quiz-container-4.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-4.ays_quiz_classic_dark .ays-field.checked_answer_div.wrong_div input:checked~label,\n            #ays-quiz-container-4.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-4.ays_quiz_classic_dark .ays-field,\n            #ays-quiz-container-4.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-4 .ays-quiz-close-full-screen {\n                fill: #000000;\n            }\n\n            #ays-quiz-container-4 .ays-quiz-open-full-screen {\n                fill: #000000;\n            }\n\n            #ays-quiz-container-4 .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-4 .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-4 .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-4 .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-4 .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-4 .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-4 .ays-close-reports-window img {\n                box-shadow: unset;\n            }\n            \n            #ays-quiz-question-report-modal-4 .ays-quiz-preloader img {\n                box-shadow: unset;\n            }\n\n            #ays-quiz-question-report-modal-4 .ays-close-reports-window img:hover,\n            #ays-quiz-question-report-modal-4 .ays-close-reports-window img:focus {\n                cursor: pointer;\n            }\n\n            #ays-quiz-question-report-modal-4 .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-4 .ays-quiz-question-report-textarea-label,\n            #ays-quiz-question-report-modal-4 .ays-quiz-question-report-title {\n                text-align: left;\n            }\n\n            #ays-quiz-question-report-modal-4 .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-4 .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-4{\n                    max-width: 100%;\n                }\n\n                div#ays-quiz-container-4 [id^='ays_finish_quiz_'] div.step div.ays-abs-fs {\n                    width: 90%;\n                }\n\n                #ays-quiz-container-4 .ays_quiz_question p {\n                    font-size: 16px;\n                }\n\n                #ays-quiz-container-4 .select2-container,\n                #ays-quiz-container-4 .ays-field * {\n                    font-size: 15px !important;\n                }\n\n                div#ays-quiz-container-4 input#ays-submit,\n                div#ays-quiz-container-4 #ays_finish_quiz_4 .action-button,\n                div#ays-quiz-container-4 #ays_finish_quiz_4 .action-button.ays_restart_button,\n                #ays-quiz-container-4 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn,\n                #ays-quiz-container-4 .ays-quiz-category-selective-submit-bttn {\n                    font-size: 18px;\n                }\n\n                \/* Quiz title \/ mobile font size *\/\n                div#ays-quiz-container-4 .ays-fs-title {\n                    font-size: 20px;\n                }\n\n                \/* Question explanation \/ mobile font size *\/\n                #ays-quiz-container-4 .ays_questtion_explanation p {\n                    font-size:16px;\n                }\n\n                \/* Wrong answers \/ mobile font size *\/\n                #ays-quiz-container-4 .wrong_answer_text p {\n                    font-size:16px;\n                }\n\n                \/* Right answers \/ mobile font size *\/\n                #ays-quiz-container-4 .right_answer_text p {\n                    font-size:16px;\n                }\n\n                \/* Note text \/ mobile font size *\/\n                #ays-quiz-container-4 .ays-quiz-question-note-message-box p {\n                    font-size:14px;\n                }\n\n                div#ays-quiz-container-4 .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-4 .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-4 .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-4 .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-4 p {\n                    margin: 0.625em;\n                }\n                \n                #ays-quiz-container-4 .ays-field.checked_answer_div input:checked~label {\n                    background-color: rgba(93,108,249,0.6);\n                }\n\n                #ays-quiz-container-4.ays_quiz_classic_light  .ays_quiz_results .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-4.ays_quiz_classic_dark  .ays_quiz_results .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-4.ays_quiz_classic_light  .enable_correction .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-4.ays_quiz_classic_dark  .enable_correction .ays-field.checked_answer_div input:checked~label {\n                    background-color: transparent;\n                }\n\n                #ays-quiz-container-4.ays_quiz_classic_light  .ays_quiz_results .not_influence_to_score .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-4.ays_quiz_classic_dark  .ays_quiz_results .not_influence_to_score .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-4.ays_quiz_classic_light  .enable_correction .not_influence_to_score .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-4.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-4 .ays-field.checked_answer_div input:checked~label:hover {\n                    background-color: rgba(93,108,249,0.8);\n                }\n\n                #ays-quiz-container-4.ays-quiz-container.ays_quiz_classic_light .ays-questions-container .ays-field:hover label[for^='ays-answer-'],\n                #ays-quiz-container-4 .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-4 #ays_finish_quiz_4 .action-button:hover,\n                #ays-quiz-container-4 #ays_finish_quiz_4 .action-button:focus,\n                #ays-quiz-container-4 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn:hover,\n                #ays-quiz-container-4 .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['4']  = '{"quiz_version":"6.6.6.0","core_version":"6.6.2","php_version":"7.4.33","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 2024 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":"2024-12-20 07:34:59","deactiveInterval":"2024-12-20 07:34:59","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","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,"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_answers_caption":"on","quiz_enable_keyboard_navigation":"on","show_quiz_image":"on","quiz_enable_whatsapp_share_button":"off","submit_redirect_after":"","rw_answers_sounds":false,"id":"4","title":"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\/2024\/11\/1_Advent_2024-1024x576.png","quiz_category_id":"4","question_ids":"7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,38,41,43,45,47,49,51,53,55","ordering":"3","published":"1","intervals":null,"quiz_url":"","custom_post_id":null,"author_id":"0","quiz_animation_top":100,"quiz_enable_animation_top":"on"}';\n        <\/script>\n                    <input type='hidden' name='quiz_id' value='4'\/>\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>2024 Math Kangaroo Advent Calendar Maxi<\/strong><\/h4>\n<p><span style=\"color: #000000;\">&#x2728; 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-5'>\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_5' \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\/2024\/11\/2_Advent_2024-1024x576.png' alt='' class='ays_quiz_image'>\n                    <p class='ays-fs-title'>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='5'\/>\n                    <input type='hidden' name='ays_quiz_finish_nonce' value='922bdb41c5'>\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\/38218'\/>\n                    <input type='hidden' name='ays_quiz_questions' value='8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,40,42,44,46,48,50,52,54,56'>\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='8' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>1. <\/p>\n<p style=\"text-align: left\">Eleonora walks with her parents and her friend Coco in the snowy wildlife park. They are curious to see what the animals do in winter.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59127\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-221438-670x327.png\" alt=\"\" width=\"670\" height=\"327\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-221438.png 670w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-221438-300x146.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/p>\n<p style=\"text-align: left\">They start at the Thick lime, pass the wild boars and cross the bridge on the direct way to the waterfall. There everyone marvels at the huge icicles. After<br \/>\nthe waterfall they turn right. At the barn with the hay bales for the winter, they turn right again. At the forester\u2019s lodge they take a break and look at the map.<br \/>\n\u201cIn all the animal enclosures we passed, we saw exactly 3 animals,\u201d Eleonora notes. \u201cExcept for the donkeys,\u201d says Coco, \u201cthey were all hiding.\u201d<br \/>\nHow many animals could we see on the way to the forester\u2019s lodge?<\/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-8]' id='ays-answer-30-5' value='30'\/>\n\n                <label for='ays-answer-30-5' class='  ays_position_initial  ays-quiz-keyboard-label'>12<\/label><label for='ays-answer-30-5' 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-8]' id='ays-answer-31-5' value='31'\/>\n\n                <label for='ays-answer-31-5' class='  ays_position_initial  ays-quiz-keyboard-label'>14<\/label><label for='ays-answer-31-5' 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-8]' id='ays-answer-32-5' value='32'\/>\n\n                <label for='ays-answer-32-5' class='  ays_position_initial  ays-quiz-keyboard-label'>15<\/label><label for='ays-answer-32-5' 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-8]' id='ays-answer-33-5' value='33'\/>\n\n                <label for='ays-answer-33-5' class='  ays_position_initial  ays-quiz-keyboard-label'>17<\/label><label for='ays-answer-33-5' 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-8]' id='ays-answer-34-5' value='34'\/>\n\n                <label for='ays-answer-34-5' class='  ays_position_initial  ays-quiz-keyboard-label'>21<\/label><label for='ays-answer-34-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['8'] = '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 style=\"text-align: left\"><span style=\"color: #808080\"><em>We followed the path outlined in the text from Thick lime to the forester's lodge, counting the animal enclosures along the way.<br \/>\nIn total, there are six enclosures: wild boar, donkeys, ferrets, deer, geese, and roe deer.<br \/>\nHowever, the donkeys were hidden, so we only observed animals in five of the enclosures.<br \/>\nSince there were exactly three animals visible in each enclosure, we saw a total of 5 x 3 = 15 animals along the path.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><strong><span style=\"color: #008000\">Yes, your answer is correct!<\/span><\/strong> \ud83c\udf89<\/p>\n<p><span style=\"color: #808080\"><em>We followed the path outlined in the text from Thick lime to the forester's lodge, counting the animal enclosures along the way.<br \/>\nIn total, there are six enclosures: wild boar, donkeys, ferrets, deer, geese, and roe deer.<br \/>\nHowever, the donkeys were hidden, so we only observed animals in five of the enclosures.<br \/>\nSince there were exactly three animals visible in each enclosure, we saw a total of 5 x 3 = 15 animals along the path.<\/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='10' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>2. <\/p>\n<p style=\"text-align: left\">Marlene discovered ladybirds in a crack in the wall. Some had 2 points and the others had 7 points.<br \/>\n\u201cThe ladybirds were sitting close together, it looked like they were cuddling,\u201d says Marlene. \u201cThis is how they protect themselves from the cold,\u201d Marlene\u2019s<br \/>\nmother explains. Marlene\u2019s little brother Matteo wants to know how many points the ladybirds had in total.<br \/>\n\u201cI didn\u2019t count,\u201d says Marlene. \u201cBut I remember that there were as many 2-point ladybirds as 7-point ladybirds.\u201d<br \/>\nHow many points could there have been in <strong>TOTAL?<\/strong><\/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-10]' id='ays-answer-40-5' value='40'\/>\n\n                <label for='ays-answer-40-5' class='  ays_position_initial  ays-quiz-keyboard-label'>12<\/label><label for='ays-answer-40-5' 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-10]' id='ays-answer-41-5' value='41'\/>\n\n                <label for='ays-answer-41-5' class='  ays_position_initial  ays-quiz-keyboard-label'>23<\/label><label for='ays-answer-41-5' 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-10]' id='ays-answer-42-5' value='42'\/>\n\n                <label for='ays-answer-42-5' class='  ays_position_initial  ays-quiz-keyboard-label'>34<\/label><label for='ays-answer-42-5' 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-10]' id='ays-answer-43-5' value='43'\/>\n\n                <label for='ays-answer-43-5' class='  ays_position_initial  ays-quiz-keyboard-label'>45<\/label><label for='ays-answer-43-5' 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-10]' id='ays-answer-44-5' value='44'\/>\n\n                <label for='ays-answer-44-5' class='  ays_position_initial  ays-quiz-keyboard-label'>56<\/label><label for='ays-answer-44-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['10'] = '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>Since Marlene remembers there were <strong>as many 2-point ladybirds as 7-point ladybirds<\/strong>, let's assume there are <span class=\"katex\"><span class=\"katex-mathml\">x<\/span><\/span>\u00a0ladybirds of each type.<\/em><\/span><\/p>\n<ul>\n<li><span style=\"color: #808080\"><em>The total points from the 2-point ladybirds is <span class=\"katex\"><span class=\"katex-mathml\">2x<\/span><\/span>.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>The total points from the 7-point ladybirds is <span class=\"katex\"><span class=\"katex-mathml\">7x<\/span><\/span>.<\/em><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #808080\"><em>Adding these together:<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">2x+7x=9x<\/span><\/span><\/span><\/em><\/span><\/p>\n<p><span style=\"color: #808080\"><em>So, the total number of points is <strong>9 times the number of ladybird pairs<\/strong>.<\/em><\/span><\/p>\n<p><span style=\"color: #808080\"><em>For example:<\/em><\/span><\/p>\n<ul>\n<li><span style=\"color: #808080\"><em>If there is 1 pair (1 of each type), the total is <span class=\"katex\"><span class=\"katex-mathml\">9<\/span><\/span>\u00a0points.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>If there are 2 pairs, the total is <span class=\"katex\"><span class=\"katex-mathml\">18<\/span><\/span>\u00a0points.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>If there are 3 pairs, the total is <span class=\"katex\"><span class=\"katex-mathml\">27<\/span><\/span>\u00a0points.<\/em><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #808080\"><em><strong>Answer:<\/strong> The total points depend on the number of pairs, and they are always a multiple of 9 (e.g., 9, 18, 27, 36, 45 etc.).<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><strong><span style=\"color: #008000\">Yes, your answer is correct!<\/span> \ud83c\udf89<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #808080\"><em>Since Marlene remembers there were as many 2-point ladybirds as 7-point ladybirds, let's assume there are x\u00a0ladybirds of each type.<\/em><\/span><\/p>\n<ul>\n<li><span style=\"color: #808080\"><em>The total points from the 2-point ladybirds is 2x.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>The total points from the 7-point ladybirds is 7x.<\/em><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #808080\"><em>Adding these together:<\/em><\/span><\/p>\n<p><span style=\"color: #808080\"><em>2x+7x=9x<\/em><\/span><\/p>\n<p><span style=\"color: #808080\"><em>So, the total number of points is 9 times the number of ladybird pairs.<\/em><\/span><\/p>\n<p><span style=\"color: #808080\"><em>For example:<\/em><\/span><\/p>\n<ul>\n<li><span style=\"color: #808080\"><em>If there is 1 pair (1 of each type), the total is 9 points.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>If there are 2 pairs, the total is 18 points.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>If there are 3 pairs, the total is 27\u00a0points.<\/em><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #808080\"><em>Answer: The total points depend on the number of pairs, and they are always a multiple of 9 (e.g., 9, 18, 27, 36, 45 etc.).<\/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='12' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>3. <\/p>\n<p style=\"text-align: left\">Sebastian goes for a walk with his 5 young dachshunds. All of them are wearing a thick jumper to keep them nice and warm.<br \/>\nJack\u2019s jumper is not plain.<br \/>\nEinstein\u2019s jumper even has more than 2 colours.<br \/>\nDaisy\u2019s jumper is striped.<br \/>\nMaggie\u2019s jumper has ducks on it.<br \/>\nKalle\u2019s jumper is plain orange.<br \/>\nWhich of these dachshunds is Jack?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59136\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-02-204302-704x496.png\" alt=\"\" width=\"704\" height=\"496\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-02-204302.png 704w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-02-204302-300x211.png 300w\" sizes=\"auto, (max-width: 704px) 100vw, 704px\" \/><\/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-12]' id='ays-answer-50-5' value='50'\/>\n\n                <label for='ays-answer-50-5' class='  ays_position_initial  ays-quiz-keyboard-label'>U<\/label><label for='ays-answer-50-5' 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-12]' id='ays-answer-51-5' value='51'\/>\n\n                <label for='ays-answer-51-5' class='  ays_position_initial  ays-quiz-keyboard-label'>K<\/label><label for='ays-answer-51-5' 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-12]' id='ays-answer-52-5' value='52'\/>\n\n                <label for='ays-answer-52-5' class='  ays_position_initial  ays-quiz-keyboard-label'>D<\/label><label for='ays-answer-52-5' 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-12]' id='ays-answer-53-5' value='53'\/>\n\n                <label for='ays-answer-53-5' class='  ays_position_initial  ays-quiz-keyboard-label'>E<\/label><label for='ays-answer-53-5' 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-12]' id='ays-answer-54-5' value='54'\/>\n\n                <label for='ays-answer-54-5' class='  ays_position_initial  ays-quiz-keyboard-label'>N<\/label><label for='ays-answer-54-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['12'] = '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 style=\"text-align: left\"><span style=\"color: #808080\"><em>The only striped sweater is at position (U), belonging to Daisy. The single-colored sweater, an orange one, is at position (E) and worn by Kalle. The only remaining sweater with more than two colors is at position (K), belonging to Einstein. The sweater with ducks, at position (N), is worn by Maggie. Therefore, Jack is the dachshund at position (D).<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><strong><span style=\"color: #008000\">Yes, your answer is correct!<\/span> \ud83c\udf89<\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The only striped sweater is at position (U), belonging to Daisy. The single-colored sweater, an orange one, is at position (E) and worn by Kalle. The only remaining sweater with more than two colors is at position (K), belonging to Einstein. The sweater with ducks, at position (N), is worn by Maggie. Therefore, Jack is the dachshund at position (D).<\/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='14' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>4. <\/p>\n<p style=\"text-align: left\">After playing outside, Hannah and Jonas drink a cup of warm tea in the kitchen.<br \/>\nOn the kitchen table they discover a puzzle in a magazine:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59143 alignleft\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-03-211946-216x198.png\" alt=\"\" width=\"216\" height=\"198\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: left\">The names of animals are to be searched for. Letter by letter may be read so that the next letter is always directly above, below, to the left of or to the right of it. Jonas immediately discovers the word LACHS: He starts at the bottom left at the L and goes from there first to the right, then up, up again and then to the left.<br \/>\nWhich of the following animals CANNOT be found like this?<\/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-14]' id='ays-answer-60-5' value='60'\/>\n\n                <label for='ays-answer-60-5' class='  ays_position_initial  ays-quiz-keyboard-label'>SCHAF<\/label><label for='ays-answer-60-5' 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-14]' id='ays-answer-61-5' value='61'\/>\n\n                <label for='ays-answer-61-5' class='  ays_position_initial  ays-quiz-keyboard-label'>OCHSE<\/label><label for='ays-answer-61-5' 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-14]' id='ays-answer-62-5' value='62'\/>\n\n                <label for='ays-answer-62-5' class='  ays_position_initial  ays-quiz-keyboard-label'>DACHS<\/label><label for='ays-answer-62-5' 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-14]' id='ays-answer-63-5' value='63'\/>\n\n                <label for='ays-answer-63-5' class='  ays_position_initial  ays-quiz-keyboard-label'>FROSCH<\/label><label for='ays-answer-63-5' 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-14]' id='ays-answer-64-5' value='64'\/>\n\n                <label for='ays-answer-64-5' class='  ays_position_initial  ays-quiz-keyboard-label'>FISCH<\/label><label for='ays-answer-64-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['14'] = '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 style=\"text-align: left\"><em><span style=\"color: #808080\">Here you can see where SCHAF, OCHSE, DACHS, and FISCH are hiding:<\/span><\/em><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59144\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-03-212540-676x163.png\" alt=\"\" width=\"676\" height=\"163\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-03-212540.png 676w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-03-212540-300x72.png 300w\" sizes=\"auto, (max-width: 676px) 100vw, 676px\" \/><\/p>\n<p><em><span style=\"color: #808080\">The FROSCH cannot be located in the specified manner.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><strong><span style=\"color: #008000\">Yes, your answer is correct!<\/span> \ud83c\udf89<\/strong><\/p>\n<p><em><span style=\"color: #808080\">Here you can see where SCHAF, OCHSE, DACHS, and FISCH are hiding:<\/span><\/em><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59144\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-03-212540-676x163.png\" alt=\"\" width=\"676\" height=\"163\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-03-212540.png 676w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-03-212540-300x72.png 300w\" sizes=\"auto, (max-width: 676px) 100vw, 676px\" \/><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">The FROSCH cannot be located in the specified manner.<\/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='16' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>5. <\/p>\n<p style=\"text-align: left\">While playing in the forest, we saw a pile of building material. A second fence was built around the rectangular wild boar enclosure. This is to better protect the wild boars from swine fever. The old fence is 150 meters long and 100 meters wide. The new fence is exactly 2 meters from the old fence on all four sides.<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59158\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-04-214844-487x341.png\" alt=\"\" width=\"487\" height=\"341\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-04-214844.png 487w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-04-214844-300x210.png 300w\" sizes=\"auto, (max-width: 487px) 100vw, 487px\" \/><br \/>\nHow many meters longer is the new fence than the old one?<\/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-16]' id='ays-answer-70-5' value='70'\/>\n\n                <label for='ays-answer-70-5' class='  ays_position_initial  ays-quiz-keyboard-label'>12 meters<\/label><label for='ays-answer-70-5' 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-16]' id='ays-answer-71-5' value='71'\/>\n\n                <label for='ays-answer-71-5' class='  ays_position_initial  ays-quiz-keyboard-label'>16 meters<\/label><label for='ays-answer-71-5' 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-16]' id='ays-answer-72-5' value='72'\/>\n\n                <label for='ays-answer-72-5' class='  ays_position_initial  ays-quiz-keyboard-label'>20 meters<\/label><label for='ays-answer-72-5' 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-16]' id='ays-answer-73-5' value='73'\/>\n\n                <label for='ays-answer-73-5' class='  ays_position_initial  ays-quiz-keyboard-label'>22 meters<\/label><label for='ays-answer-73-5' 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-16]' id='ays-answer-74-5' value='74'\/>\n\n                <label for='ays-answer-74-5' class='  ays_position_initial  ays-quiz-keyboard-label'>30 meters<\/label><label for='ays-answer-74-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['16'] = '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 style=\"text-align: left\"><span style=\"color: #808080\"><em>The approach of dividing the new fence into parts to directly calculate the difference in length is a great way to simplify the problem.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Here's how that works:<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59159\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-04-215838-397x291.png\" alt=\"\" width=\"397\" height=\"291\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-04-215838.png 397w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-04-215838-300x220.png 300w\" sizes=\"auto, (max-width: 397px) 100vw, 397px\" \/><\/p>\n<p><em><span style=\"color: #808080\"><strong>Explanation:<\/strong><\/span><\/em><\/p>\n<ul style=\"text-align: left\">\n<li><em><span style=\"color: #808080\">The extra length comes from the 2 m extension on each of the 8 sections (4 sides, each split into two ends).<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\">For each section, the added length is 2m, and there are 8 sections in total.<\/span><\/em><\/li>\n<\/ul>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Thus, the additional length is: 8\u00d72=16m<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><strong><span style=\"color: #008000\">Yes, your answer is correct!<\/span> \ud83c\udf89<\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The approach of dividing the new fence into parts to directly calculate the difference in length is a great way to simplify the problem.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Here's how that works:<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59159\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-04-215838-397x291.png\" alt=\"\" width=\"397\" height=\"291\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-04-215838.png 397w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-04-215838-300x220.png 300w\" sizes=\"auto, (max-width: 397px) 100vw, 397px\" \/><\/p>\n<p><em><span style=\"color: #808080\"><strong>Explanation:<\/strong><\/span><\/em><\/p>\n<ul style=\"text-align: left\">\n<li><em><span style=\"color: #808080\">The extra length comes from the 2 m extension on each of the 8 sections (4 sides, each split into two ends).<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\">For each section, the added length is 2m, and there are 8 sections in total.<\/span><\/em><\/li>\n<\/ul>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Thus, the additional length is: 8\u00d72=16m<\/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='18' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>6. <\/p>\n<p style=\"text-align: left\">Today, on St Nicholas\u2019 Day, the siblings Lisa, Tim, Ella and Pia scurried to their boots as soon as they got up. Between oranges, apples and nuts, a chocolate<br \/>\nanimal was hidden in each boot. When Aunt Birgit comes in the afternoon, the children ask her a riddle:<br \/>\n\u201cIn our boots were a kangaroo, a beaver, a frog and a hedgehog made of chocolate. You have to guess who got which animal.\u201d<\/p>\n<p style=\"text-align: left\">The children give three clues:<\/p>\n<p style=\"text-align: left\">\u201cLisa got a beaver.\u201d<br \/>\n\u201cTim didn\u2019t get a frog.\u201d<br \/>\n\u201cElla didn\u2019t get a kangaroo.\u201d<\/p>\n<p style=\"text-align: left\">Aunt Birgit thinks and realizes: \u201cI can\u2019t solve the riddle like that. There are several possibilities.\u201d<br \/>\nThe children think of a fourth clue. Now Aunt Birgit can really find out who got which animal.<br \/>\nWhat could the fourth clue be?<\/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-18]' id='ays-answer-80-5' value='80'\/>\n\n                <label for='ays-answer-80-5' class='  ays_position_initial  ays-quiz-keyboard-label'>X: \u201cTim got a kangaroo.\u201d<\/label><label for='ays-answer-80-5' 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-18]' id='ays-answer-81-5' value='81'\/>\n\n                <label for='ays-answer-81-5' class='  ays_position_initial  ays-quiz-keyboard-label'>W: \u201cPia didn\u2019t get a beaver.\u201d<\/label><label for='ays-answer-81-5' 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-18]' id='ays-answer-82-5' value='82'\/>\n\n                <label for='ays-answer-82-5' class='  ays_position_initial  ays-quiz-keyboard-label'>O: \u201cElla got a frog.\u201d<\/label><label for='ays-answer-82-5' 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-18]' id='ays-answer-83-5' value='83'\/>\n\n                <label for='ays-answer-83-5' class='  ays_position_initial  ays-quiz-keyboard-label'>B: \u201cTim didn\u2019t get a hedgehog.\u201d<\/label><label for='ays-answer-83-5' 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-18]' id='ays-answer-84-5' value='84'\/>\n\n                <label for='ays-answer-84-5' class='  ays_position_initial  ays-quiz-keyboard-label'>Y: \u201cPia got a frog.\u201d<\/label><label for='ays-answer-84-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['18'] = '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 style=\"text-align: left\"><em><span style=\"color: #808080\">With the first three clues, three possibilities remain regarding which chocolate animal each person has in the boot:<\/span><\/em><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59166\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-05-211548-528x169.png\" alt=\"\" width=\"528\" height=\"169\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-05-211548.png 528w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-05-211548-300x96.png 300w\" sizes=\"auto, (max-width: 528px) 100vw, 528px\" \/><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">- With clue (X), possibilities 1 and 2 remain. <\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">- The aunt cannot clearly determine who found which chocolate animal. <\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">- With clue (W), possibilities 1, 2, and 3 remain. <\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">- With clue (O), possibilities 1 and 3 remain. <\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">- With clue (B), possibilities 1 and 2 remain. <\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Even with these clues, the aunt still cannot clearly identify who received which animal. However, with clue (Y), only one possibility remains, specifically possibility 2. Therefore, clue (Y) is the one we are looking for.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><strong><span style=\"color: #008000\">Yes, your answer is correct!<\/span> \ud83c\udf89<\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>With the first three clues, three possibilities remain regarding which chocolate animal each person has in the boot:<\/em><\/span><\/p>\n<p><span style=\"color: #808080\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59166\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-05-211548-528x169.png\" alt=\"\" width=\"528\" height=\"169\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-05-211548.png 528w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-05-211548-300x96.png 300w\" sizes=\"auto, (max-width: 528px) 100vw, 528px\" \/><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>- With clue (X), possibilities 1 and 2 remain. <\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>- The aunt cannot clearly determine who found which chocolate animal. <\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>- With clue (W), possibilities 1, 2, and 3 remain. <\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>- With clue (O), possibilities 1 and 3 remain. <\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>- With clue (B), possibilities 1 and 2 remain. <\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Even with these clues, the aunt still cannot clearly identify who received which animal. However, with clue (Y), only one possibility remains, specifically possibility 2. Therefore, clue (Y) is the one 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='20' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>7. <\/p>\n<p style=\"text-align: left\">At our school we are choosing a school mascot this week. There are 5 animals to choose from. All children are allowed to cast one vote.<br \/>\nIn the secretary\u2019s office there is a list of the votes that have been counted so far:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59182\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-07-063738-530x333.png\" alt=\"\" width=\"530\" height=\"333\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-07-063738.png 530w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-07-063738-300x188.png 300w\" sizes=\"auto, (max-width: 530px) 100vw, 530px\" \/><\/p>\n<p style=\"text-align: left\">There are still 12 votes missing from class 4b.<br \/>\nThe animal with the most votes at the end will be the school mascot. Which animal could that be?<\/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-20]' id='ays-answer-90-5' value='90'\/>\n\n                <label for='ays-answer-90-5' class='  ays_position_initial  ays-quiz-keyboard-label'>only the stork or the fox<\/label><label for='ays-answer-90-5' 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-20]' id='ays-answer-91-5' value='91'\/>\n\n                <label for='ays-answer-91-5' class='  ays_position_initial  ays-quiz-keyboard-label'>only the beaver<\/label><label for='ays-answer-91-5' 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-20]' id='ays-answer-92-5' value='92'\/>\n\n                <label for='ays-answer-92-5' class='  ays_position_initial  ays-quiz-keyboard-label'>only the hedgehog or the beaver<\/label><label for='ays-answer-92-5' 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-20]' id='ays-answer-93-5' value='93'\/>\n\n                <label for='ays-answer-93-5' class='  ays_position_initial  ays-quiz-keyboard-label'>only the raven<\/label><label for='ays-answer-93-5' 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-20]' id='ays-answer-94-5' value='94'\/>\n\n                <label for='ays-answer-94-5' class='  ays_position_initial  ays-quiz-keyboard-label'>only the stork, the hedgehog or the beaver<\/label><label for='ays-answer-94-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['20'] = '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 style=\"text-align: left\"><em><span style=\"color: #808080\">According to the votes counted so far, the Beaver is currently in the lead. If all 12 children from class 4b vote for the Beaver, it will still remain ahead and win the election. Therefore, the Beaver's victory is possible.<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">The Hedgehog has the second most votes, standing at 22. If all 12 children from class 4b vote for the Hedgehog, he would then have a total of 22 + 12 = 34 votes. This would allow the Hedgehog to overtake the Beaver, who would then have only 31 votes. Thus, the Hedgehog could potentially win the election.<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">The Stork is in third place, with 16 votes so far. Even if all 12 remaining votes go to the Stork, he would only reach 16 + 12 = 28 votes, which is still fewer than the Beaver's total. Therefore, the Stork cannot win the election.<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">It is also clear that the two animals with fewer votes than the Stork cannot win.<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Consequently, only the Hedgehog or the Beaver can become the school mascot.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><strong><span style=\"color: #008000\">Yes, your answer is correct!<\/span> \ud83c\udf89<\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>According to the votes counted so far, the Beaver is currently in the lead. If all 12 children from class 4b vote for the Beaver, it will still remain ahead and win the election. Therefore, the Beaver's victory is possible.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The Hedgehog has the second most votes, standing at 22. If all 12 children from class 4b vote for the Hedgehog, he would then have a total of 22 + 12 = 34 votes. This would allow the Hedgehog to overtake the Beaver, who would then have only 31 votes. Thus, the Hedgehog could potentially win the election.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The Stork is in third place, with 16 votes so far. Even if all 12 remaining votes go to the Stork, he would only reach 16 + 12 = 28 votes, which is still fewer than the Beaver's total. Therefore, the Stork cannot win the election.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>It is also clear that the two animals with fewer votes than the Stork cannot win.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Consequently, only the Hedgehog or the Beaver can become the school mascot.<\/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='22' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>8. <\/p>\n<p style=\"text-align: left\">Jule, Milan, Lara, Paul and Zo\u00b4e baked biscuits at Paul\u2019s house. They found great animal biscuit cutters and baked kangaroos, hedgehogs and rabbits.<br \/>\nAfter baking, they realize:<\/p>\n<p style=\"text-align: left\">One hedgehog weighs just as much as one rabbit.<br \/>\nOne kangaroo weighs as much as two rabbits.<br \/>\nAnd now it\u2019s time to taste! Everyone takes a plate of biscuits.<br \/>\nJule has the most biscuits on her plate.<br \/>\nMilan has fewer biscuits on his plate than Jule, but they weigh the same as the biscuits on Jules\u2019 plate.<br \/>\nWhich plate is Milan\u2019s?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59187\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-08-032833-697x440.png\" alt=\"\" width=\"697\" height=\"440\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-08-032833.png 697w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-08-032833-300x189.png 300w\" sizes=\"auto, (max-width: 697px) 100vw, 697px\" \/><\/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-22]' id='ays-answer-100-5' value='100'\/>\n\n                <label for='ays-answer-100-5' class='  ays_position_initial  ays-quiz-keyboard-label'>P<\/label><label for='ays-answer-100-5' 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-22]' id='ays-answer-101-5' value='101'\/>\n\n                <label for='ays-answer-101-5' class='  ays_position_initial  ays-quiz-keyboard-label'>D<\/label><label for='ays-answer-101-5' 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-22]' id='ays-answer-102-5' value='102'\/>\n\n                <label for='ays-answer-102-5' class='  ays_position_initial  ays-quiz-keyboard-label'>A<\/label><label for='ays-answer-102-5' 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-22]' id='ays-answer-103-5' value='103'\/>\n\n                <label for='ays-answer-103-5' class='  ays_position_initial  ays-quiz-keyboard-label'>S<\/label><label for='ays-answer-103-5' 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-22]' id='ays-answer-104-5' value='104'\/>\n\n                <label for='ays-answer-104-5' class='  ays_position_initial  ays-quiz-keyboard-label'>N<\/label><label for='ays-answer-104-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['22'] = '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 style=\"text-align: left\"><em><span style=\"color: #808080\">We count the cookies on the plates and observe that <strong>plate (S)<\/strong> has the most cookies\u2014<strong>6 cookies<\/strong>. Thus, plate (S) belongs to Jule. The cookies on Jule's plate weigh as much as <strong>6 rabbits<\/strong>.<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Next, we analyze the weights of the cookies on the other plates:<\/span><\/em><\/p>\n<ul style=\"text-align: left\">\n<li><em><span style=\"color: #808080\"><strong>Plate (P):<\/strong> Weighs as much as 6 rabbits.<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>Plate (D):<\/strong> Weighs as much as 5 rabbits.<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>Plate (A):<\/strong> Weighs as much as 7 rabbits.<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>Plate (N):<\/strong> Weighs as much as 5 rabbits.<\/span><\/em><\/li>\n<\/ul>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Since Milan's plate must weigh the same as Jule's plate (6 rabbits) but have <strong>fewer cookies<\/strong>, <strong>plate (P)<\/strong> is Milan's plate.<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\"><strong>Conclusion:<\/strong> Milan's plate is <strong>plate (P)<\/strong>.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><strong><span style=\"color: #008000\">Yes, your answer is correct!<\/span> \ud83c\udf89<\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>We count the cookies on the plates and observe that <strong>plate (S)<\/strong> has the most cookies\u2014<strong>6 cookies<\/strong>. Thus, plate (S) belongs to Jule. The cookies on Jule's plate weigh as much as <strong>6 rabbits<\/strong>.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Next, we analyze the weights of the cookies on the other plates:<\/em><\/span><\/p>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em><strong>Plate (P):<\/strong> Weighs as much as 6 rabbits.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em><strong>Plate (D):<\/strong> Weighs as much as 5 rabbits.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em><strong>Plate (A):<\/strong> Weighs as much as 7 rabbits.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em><strong>Plate (N):<\/strong> Weighs as much as 5 rabbits.<\/em><\/span><\/li>\n<\/ul>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Since Milan's plate must weigh the same as Jule's plate (6 rabbits) but have <strong>fewer cookies<\/strong>, <strong>plate (P)<\/strong> is Milan's plate.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em><strong>Conclusion:<\/strong> Milan's plate is <strong>plate (P)<\/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='24' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>9. <\/p>\n<p style=\"text-align: left\">The dog robot Robbie is demonstrated in the Museum of Technology. He is steered through the course using a remote control with 4 buttons:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59191\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-065809-622x476.png\" alt=\"\" width=\"622\" height=\"476\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-065809.png 622w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-065809-300x230.png 300w\" sizes=\"auto, (max-width: 622px) 100vw, 622px\" \/><\/p>\n<p style=\"text-align: left\">The museum guide explains: \u201cRobbie doesn\u2019t run into the obstacles. If you steer him towards an obstacle, he simply stops.\u201d<br \/>\nWhich of the sequences of buttons below will take Robbie to the bone?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59192\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-065942-438x242.png\" alt=\"\" width=\"438\" height=\"242\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-065942.png 438w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-065942-300x166.png 300w\" sizes=\"auto, (max-width: 438px) 100vw, 438px\" \/><\/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-24]' id='ays-answer-110-5' value='110'\/>\n\n                <label for='ays-answer-110-5' class='  ays_position_initial  ays-quiz-keyboard-label'>G<\/label><label for='ays-answer-110-5' 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-24]' id='ays-answer-111-5' value='111'\/>\n\n                <label for='ays-answer-111-5' class='  ays_position_initial  ays-quiz-keyboard-label'>B<\/label><label for='ays-answer-111-5' 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-24]' id='ays-answer-112-5' value='112'\/>\n\n                <label for='ays-answer-112-5' class='  ays_position_initial  ays-quiz-keyboard-label'>A<\/label><label for='ays-answer-112-5' 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-24]' id='ays-answer-113-5' value='113'\/>\n\n                <label for='ays-answer-113-5' class='  ays_position_initial  ays-quiz-keyboard-label'>J<\/label><label for='ays-answer-113-5' 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-24]' id='ays-answer-114-5' value='114'\/>\n\n                <label for='ays-answer-114-5' class='  ays_position_initial  ays-quiz-keyboard-label'>Z<\/label><label for='ays-answer-114-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['24'] = '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 style=\"text-align: left\"><span style=\"color: #808080\"><em>We illustrate Robbie's paths using a pen or by tracing them with a finger. Robbie can only reach the bone by pressing the (J) key.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>First, Robbie moves forward 2 spaces and then turns to the right. Next, he runs backward 4 spaces between the walls. After that, he turns to the left, runs forward 2 spaces, and finally lands on the bone.<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59193\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-070447-411x237.png\" alt=\"\" width=\"411\" height=\"237\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-070447.png 411w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-070447-300x173.png 300w\" sizes=\"auto, (max-width: 411px) 100vw, 411px\" \/><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your answer is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>We illustrate Robbie's paths using a pen or by tracing them with a finger. Robbie can only reach the bone by pressing the (J) key.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>First, Robbie moves forward 2 spaces and then turns to the right. Next, he runs backward 4 spaces between the walls. After that, he turns to the left, runs forward 2 spaces, and finally lands on the bone.<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59193\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-070447-411x237.png\" alt=\"\" width=\"411\" height=\"237\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-070447.png 411w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-070447-300x173.png 300w\" sizes=\"auto, (max-width: 411px) 100vw, 411px\" \/><\/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='26' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>10. <\/p>\n<p style=\"text-align: left\">Lina learns at the nature conservation center that bearded vultures have some feathers bleached before they are released into the wild. This makes it possible to recognize them later when observing them in flight. This year 5 bearded vultures were released.<br \/>\nBavaria had more feathers bleached than Recka but less than Dagmar.<br \/>\nWally and Herculis have no bleached feathers on their tails.<br \/>\nWhich of the following pictures shows Bavaria?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59207\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-180417-397x602.png\" alt=\"\" width=\"397\" height=\"602\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-180417.png 397w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-180417-198x300.png 198w\" sizes=\"auto, (max-width: 397px) 100vw, 397px\" \/><\/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-26]' id='ays-answer-120-5' value='120'\/>\n\n                <label for='ays-answer-120-5' class='  ays_position_initial  ays-quiz-keyboard-label'>M<\/label><label for='ays-answer-120-5' 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-26]' id='ays-answer-121-5' value='121'\/>\n\n                <label for='ays-answer-121-5' class='  ays_position_initial  ays-quiz-keyboard-label'>T<\/label><label for='ays-answer-121-5' 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-26]' id='ays-answer-122-5' value='122'\/>\n\n                <label for='ays-answer-122-5' class='  ays_position_initial  ays-quiz-keyboard-label'>N<\/label><label for='ays-answer-122-5' 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-26]' id='ays-answer-123-5' value='123'\/>\n\n                <label for='ays-answer-123-5' class='  ays_position_initial  ays-quiz-keyboard-label'>R<\/label><label for='ays-answer-123-5' 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-26]' id='ays-answer-124-5' value='124'\/>\n\n                <label for='ays-answer-124-5' class='  ays_position_initial  ays-quiz-keyboard-label'>S<\/label><label for='ays-answer-124-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['26'] = '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 style=\"text-align: left\"><em><span style=\"color: #808080\">We first count the number of bleached feathers in each of the bearded vultures: (M) has 5, (T) has 6, (N) has 5, (R) has 5, and (S) has 4.<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">It is established that more feathers were bleached in Bavaria than in Recka, but fewer than in Dagmar. Therefore, we conclude that Dagmar must have 6 bleached feathers, Bavaria has 5, and Recka has 4. This indicates that Dagmar is represented by (T) and Recka by (S).<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Among the remaining three bearded vultures, only those at (M) and (N) do not have bleached tail feathers, which means they are Wally and Herculis.<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Additionally, the bearded vulture at (R) is identified as Bavaria.<\/span><\/em><\/p>\n<p>&nbsp;<\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your answer is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">We first count the number of bleached feathers in each of the bearded vultures: (M) has 5, (T) has 6, (N) has 5, (R) has 5, and (S) has 4.<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">It is established that more feathers were bleached in Bavaria than in Recka, but fewer than in Dagmar. Therefore, we conclude that Dagmar must have 6 bleached feathers, Bavaria has 5, and Recka has 4. This indicates that Dagmar is represented by (T) and Recka by (S).<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Among the remaining three bearded vultures, only those at (M) and (N) do not have bleached tail feathers, which means they are Wally and Herculis.<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Additionally, the bearded vulture at (R) is identified as Bavaria.<\/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='28' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>11. <\/p>\n<p style=\"text-align: left\">Antonia and Liam visit Liam\u2019s aunt, who is a beekeeper. This year her bees have produced a lot of honey.<br \/>\nAntonia and Liam look at a fragment of a honeycomb:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59211\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-181845-211x232.png\" alt=\"\" width=\"211\" height=\"232\" \/><\/p>\n<p style=\"text-align: left\">\u201cThe honeycombs are hexagonal,\u201d says Antonia. \u201cAnd all of them are quite regular,\u201d adds Liam. A piece is missing from the middle of the fragment.<br \/>\nWhich piece fits into the gap?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59212\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-182106-674x375.png\" alt=\"\" width=\"674\" height=\"375\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-182106.png 674w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-182106-300x167.png 300w\" sizes=\"auto, (max-width: 674px) 100vw, 674px\" \/><\/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-28]' id='ays-answer-130-5' value='130'\/>\n\n                <label for='ays-answer-130-5' class='  ays_position_initial  ays-quiz-keyboard-label'>X<\/label><label for='ays-answer-130-5' 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-28]' id='ays-answer-131-5' value='131'\/>\n\n                <label for='ays-answer-131-5' class='  ays_position_initial  ays-quiz-keyboard-label'>B<\/label><label for='ays-answer-131-5' 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-28]' id='ays-answer-132-5' value='132'\/>\n\n                <label for='ays-answer-132-5' class='  ays_position_initial  ays-quiz-keyboard-label'>Y<\/label><label for='ays-answer-132-5' 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-28]' id='ays-answer-133-5' value='133'\/>\n\n                <label for='ays-answer-133-5' class='  ays_position_initial  ays-quiz-keyboard-label'>H<\/label><label for='ays-answer-133-5' 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-28]' id='ays-answer-134-5' value='134'\/>\n\n                <label for='ays-answer-134-5' class='  ays_position_initial  ays-quiz-keyboard-label'>Q<\/label><label for='ays-answer-134-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['28'] = '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 style=\"text-align: left\"><em><span style=\"color: #808080\">We fill in the edges of the missing honeycombs. <\/span><\/em><\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59213\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-182514-183x197.png\" alt=\"\" width=\"183\" height=\"197\" \/><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Now, the gap can be easily compared with the possible answers. The piece (Q) fits into the gap.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your answer is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">We fill in the edges of the missing honeycombs. <\/span><\/em><\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59213\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-09-182514-183x197.png\" alt=\"\" width=\"183\" height=\"197\" \/><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Now, the gap can be easily compared with the possible answers. The piece (Q) fits into the gap.<\/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='30' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>12. <\/p>\n<p style=\"text-align: left\">Frieda has discovered snails in a sheltered spot in the garden. \u201cThe snails hibernate there,\u201d her mother explained to her. She learned how to draw snails<br \/>\nfrom a book: Frieda draws quarter circles on squares with a compass. She starts with a small square that is 1 box wide. Then she places more squares counterclockwise that fit: another square that is 1 box wide, then a square that is 2 boxes wide, and so on.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59218\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-11-163122-484x305.png\" alt=\"\" width=\"484\" height=\"305\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-11-163122.png 484w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-11-163122-300x189.png 300w\" sizes=\"auto, (max-width: 484px) 100vw, 484px\" \/><\/p>\n<p style=\"text-align: left\">Two paper squares have accidentally fallen down.<br \/>\nWhich two squares complete the snail spiral?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59219\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-11-163240-690x286.png\" alt=\"\" width=\"690\" height=\"286\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-11-163240.png 690w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-11-163240-300x124.png 300w\" sizes=\"auto, (max-width: 690px) 100vw, 690px\" \/><\/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-30]' id='ays-answer-140-5' value='140'\/>\n\n                <label for='ays-answer-140-5' class='  ays_position_initial  ays-quiz-keyboard-label'>E<\/label><label for='ays-answer-140-5' 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-30]' id='ays-answer-141-5' value='141'\/>\n\n                <label for='ays-answer-141-5' class='  ays_position_initial  ays-quiz-keyboard-label'>U<\/label><label for='ays-answer-141-5' 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-30]' id='ays-answer-142-5' value='142'\/>\n\n                <label for='ays-answer-142-5' class='  ays_position_initial  ays-quiz-keyboard-label'>N<\/label><label for='ays-answer-142-5' 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-30]' id='ays-answer-143-5' value='143'\/>\n\n                <label for='ays-answer-143-5' class='  ays_position_initial  ays-quiz-keyboard-label'>L<\/label><label for='ays-answer-143-5' 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-30]' id='ays-answer-144-5' value='144'\/>\n\n                <label for='ays-answer-144-5' class='  ays_position_initial  ays-quiz-keyboard-label'>B<\/label><label for='ays-answer-144-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['30'] = '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 style=\"text-align: left\"><em><span style=\"color: #808080\">For this task, both the direction of the circle's arcs and the sizes of the paper squares must be considered.<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Counting the missing squares in the snail, we find that their side lengths must be 3 boxes and 8 boxes wide. Only answer option (B) meets these requirements, as all other options include at least one square with an incorrect side length.<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Additionally, the direction of the circular arcs in (B) matches perfectly. Thus, these squares complete the snail spiral accurately.<\/span><\/em><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59220\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-11-163942-473x293.png\" alt=\"\" width=\"473\" height=\"293\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-11-163942.png 473w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-11-163942-300x186.png 300w\" sizes=\"auto, (max-width: 473px) 100vw, 473px\" \/><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Theoretically, the paper squares could also be rotated. However, only the squares in (B) have the correct dimensions, making the solution uniquely determined.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The side lengths of the squares in the spiral follow the Fibonacci sequence, where each number is the sum of the two preceding ones. This characteristic further confirms the accuracy of the solution.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your answer is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">For this task, both the direction of the circle's arcs and the sizes of the paper squares must be considered.<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Counting the missing squares in the snail, we find that their side lengths must be <strong>3 boxes<\/strong> and <strong>8 boxes<\/strong> wide. Only answer option <strong>(B)<\/strong> meets these requirements, as all other options include at least one square with an incorrect side length.<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Additionally, the direction of the circular arcs in <strong>(B)<\/strong> matches perfectly. Thus, these squares complete the snail spiral accurately.<\/span><\/em><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59220\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-11-163942-473x293.png\" alt=\"\" width=\"473\" height=\"293\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-11-163942.png 473w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-11-163942-300x186.png 300w\" sizes=\"auto, (max-width: 473px) 100vw, 473px\" \/><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Theoretically, the paper squares could also be rotated. However, only the squares in (B) have the correct dimensions, making the solution uniquely determined.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The side lengths of the squares in the spiral follow the Fibonacci sequence, where each number is the sum of the two preceding ones. This characteristic further confirms the accuracy of the solution.<\/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='32' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>13. <\/p>\n<p style=\"text-align: left\">Pina is supposed to go buy cat food after school. Her cat Bella likes the Casimir brand best. The Christmas varieties are on sale right now.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59225\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-12-222316-321x256.png\" alt=\"\" width=\"321\" height=\"256\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-12-222316.png 321w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-12-222316-300x239.png 300w\" sizes=\"auto, (max-width: 321px) 100vw, 321px\" \/><\/p>\n<p style=\"text-align: left\">Pina is supposed to buy exactly 12 cans and spend as little money as possible on them. She thinks about how she can combine the offers.<br \/>\nWhat is the lowest price Pina has to pay for 12 cans?<\/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-32]' id='ays-answer-150-5' value='150'\/>\n\n                <label for='ays-answer-150-5' class='  ays_position_initial  ays-quiz-keyboard-label'>10.00 euros<\/label><label for='ays-answer-150-5' 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-32]' id='ays-answer-151-5' value='151'\/>\n\n                <label for='ays-answer-151-5' class='  ays_position_initial  ays-quiz-keyboard-label'>10.20 euros<\/label><label for='ays-answer-151-5' 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-32]' id='ays-answer-152-5' value='152'\/>\n\n                <label for='ays-answer-152-5' class='  ays_position_initial  ays-quiz-keyboard-label'>10.50 euros<\/label><label for='ays-answer-152-5' 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-32]' id='ays-answer-153-5' value='153'\/>\n\n                <label for='ays-answer-153-5' class='  ays_position_initial  ays-quiz-keyboard-label'>10.70 euros<\/label><label for='ays-answer-153-5' 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-32]' id='ays-answer-154-5' value='154'\/>\n\n                <label for='ays-answer-154-5' class='  ays_position_initial  ays-quiz-keyboard-label'>10.80 euros<\/label><label for='ays-answer-154-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['32'] = '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<h3 style=\"text-align: left\"><span style=\"color: #808080\"><em>Try combinations of packs to get 12 cans<\/em><\/span><\/h3>\n<h4 style=\"text-align: left\"><span style=\"color: #808080\"><em>Case 1: Use two 5-packs and two single cans<\/em><\/span><\/h4>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>Two 5-packs = <span class=\"katex\"><span class=\"katex-mathml\">2\u00d7\u20ac4.10=\u20ac8.20<\/span><\/span><\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>Two single cans = <span class=\"katex\"><span class=\"katex-mathml\">2\u00d7\u20ac1.00=\u20ac2.00<\/span><\/span><\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>Total = \u20ac8.20 + \u20ac2.00 = <strong>\u20ac10.20<\/strong><\/em><\/span><\/li>\n<\/ul>\n<h4 style=\"text-align: left\"><span style=\"color: #808080\"><em>Case 2: Use one 8-pack and one 4-pack<\/em><\/span><\/h4>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>One 8-pack = \u20ac6.80<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>One 4-pack = \u20ac3.60<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>Total = \u20ac6.80 + \u20ac3.60 = <strong>\u20ac10.40<\/strong><\/em><\/span><\/li>\n<\/ul>\n<h4 style=\"text-align: left\"><span style=\"color: #808080\"><em>Case 3: Use one one 5-pack, one 4-pack and three single can<\/em><\/span><\/h4>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>One 5-pack = \u20ac4.10<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>One 4-pack = \u20ac3.60<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>Three single can = \u20ac3.00<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>Total = \u20ac4.10 + \u20ac3.60 + \u20ac3.00 = <strong>\u20ac10.70<\/strong><\/em><\/span><\/li>\n<\/ul>\n<h4 style=\"text-align: left\"><span style=\"color: #808080\"><em>Case 4: Use three 4-packs<\/em><\/span><\/h4>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>Three 4-packs = <span class=\"katex\"><span class=\"katex-mathml\">3\u00d7\u20ac3.60=\u20ac10.80<\/span><\/span><\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>Total = <strong>\u20ac10.80<\/strong><\/em><\/span><\/li>\n<\/ul>\n<hr \/>\n<h3 style=\"text-align: left\"><span style=\"color: #808080\"><em>Step 3: Choose the lowest cost<\/em><\/span><\/h3>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The lowest cost is achieved in <strong>Case 1<\/strong>, where Pina buys two 5-packs and two single cans for a total of <strong>\u20ac10.20<\/strong>.<\/em><\/span><\/p>\n<hr \/>\n<h3 style=\"text-align: left\"><span style=\"color: #808080\"><em>Final Answer:<strong>\u00a0\u20ac10.20<\/strong><\/em><\/span><\/h3>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your answer is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<h3 style=\"text-align: left\"><span style=\"color: #808080\"><em>Try combinations of packs to get 12 cans<\/em><\/span><\/h3>\n<h4 style=\"text-align: left\"><span style=\"color: #808080\"><em>Case 1: Use two 5-packs and two single cans<\/em><\/span><\/h4>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>Two 5-packs = <span class=\"katex\"><span class=\"katex-mathml\">2\u00d7\u20ac4.10=\u20ac8.20<\/span><\/span><\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>Two single cans = <span class=\"katex\"><span class=\"katex-mathml\">2\u00d7\u20ac1.00=\u20ac2.00<\/span><\/span><\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>Total = \u20ac8.20 + \u20ac2.00 = <strong>\u20ac10.20<\/strong><\/em><\/span><\/li>\n<\/ul>\n<h4 style=\"text-align: left\"><span style=\"color: #808080\"><em>Case 2: Use one 8-pack and one 4-pack<\/em><\/span><\/h4>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>One 8-pack = \u20ac6.80<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>One 4-pack = \u20ac3.60<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>Total = \u20ac6.80 + \u20ac3.60 = <strong>\u20ac10.40<\/strong><\/em><\/span><\/li>\n<\/ul>\n<h4 style=\"text-align: left\"><span style=\"color: #808080\"><em>Case 3: Use one one 5-pack, one 4-pack and three single can<\/em><\/span><\/h4>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>One 5-pack = \u20ac4.10<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>One 4-pack = \u20ac3.60<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>Three single can = \u20ac3.00<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>Total = \u20ac4.10 + \u20ac3.60 + \u20ac3.00 = <strong>\u20ac10.70<\/strong><\/em><\/span><\/li>\n<\/ul>\n<h4 style=\"text-align: left\"><span style=\"color: #808080\"><em>Case 4: Use three 4-packs<\/em><\/span><\/h4>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>Three 4-packs = <span class=\"katex\"><span class=\"katex-mathml\">3\u00d7\u20ac3.60=\u20ac10.80<\/span><\/span><\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>Total = <strong>\u20ac10.80<\/strong><\/em><\/span><\/li>\n<\/ul>\n<hr \/>\n<h3 style=\"text-align: left\"><span style=\"color: #808080\"><em>Step 3: Choose the lowest cost<\/em><\/span><\/h3>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The lowest cost is achieved in <strong>Case 1<\/strong>, where Pina buys two 5-packs and two single cans for a total of <strong>\u20ac10.20<\/strong>.<\/em><\/span><\/p>\n<hr \/>\n<h3 style=\"text-align: left\"><span style=\"color: #808080\"><em>Final Answer: <strong>\u20ac10.20<\/strong><\/em><\/span><\/h3>\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='34' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>14. <\/p>\n<p style=\"text-align: left\">In the cage of our two budgies, Amadeus and Kr\u00fcmel, I placed a large mirror diagonally in one corner.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59228\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-14-063941-484x324.png\" alt=\"\" width=\"484\" height=\"324\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-14-063941.png 484w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-14-063941-300x201.png 300w\" sizes=\"auto, (max-width: 484px) 100vw, 484px\" \/><\/p>\n<p style=\"text-align: left\">If Amadeus looks in the mirror as in the picture, he sees Kr\u00fcmel and the food bowl. What could Amadeus see in the mirror?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59229\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-14-064525-619x464.png\" alt=\"\" width=\"619\" height=\"464\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-14-064525.png 619w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-14-064525-300x225.png 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/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-34]' id='ays-answer-160-5' value='160'\/>\n\n                <label for='ays-answer-160-5' class='  ays_position_initial  ays-quiz-keyboard-label'>W<\/label><label for='ays-answer-160-5' 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-34]' id='ays-answer-161-5' value='161'\/>\n\n                <label for='ays-answer-161-5' class='  ays_position_initial  ays-quiz-keyboard-label'>V<\/label><label for='ays-answer-161-5' 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-34]' id='ays-answer-162-5' value='162'\/>\n\n                <label for='ays-answer-162-5' class='  ays_position_initial  ays-quiz-keyboard-label'>F<\/label><label for='ays-answer-162-5' 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-34]' id='ays-answer-163-5' value='163'\/>\n\n                <label for='ays-answer-163-5' class='  ays_position_initial  ays-quiz-keyboard-label'>P<\/label><label for='ays-answer-163-5' 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-34]' id='ays-answer-164-5' value='164'\/>\n\n                <label for='ays-answer-164-5' class='  ays_position_initial  ays-quiz-keyboard-label'>O<\/label><label for='ays-answer-164-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['34'] = '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 style=\"text-align: left\"><span style=\"color: #808080\"><em>When Amadeus looks into the mirror, turning to the left shows items positioned farther forward in the cage, while turning to the right reveals items positioned farther back.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>As a result, in the mirror, the food bowl appears to the right of Kr\u00fcmel. This observation is true only for options (V) and (F). Since Kr\u00fcmel is facing the food bowl, the correct mirror image is option (F).<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your answer is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>When Amadeus looks into the mirror, turning to the left shows items positioned farther forward in the cage, while turning to the right reveals items positioned farther back.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>As a result, in the mirror, the food bowl appears to the right of Kr\u00fcmel. This observation is true only for options (V) and (F). Since Kr\u00fcmel is facing the food bowl, the correct mirror image is option (F).<\/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='36' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>15. <\/p>\n<p style=\"text-align: left\">The mild weather has made the mole pair Gregor and Mila lively. They quickly created 4 molehills on the meadow. They look at their work in the sunset.<br \/>\nGregor looks out of one of the 4 molehills and Mila out of another.<br \/>\nHow many different possibilities are there for this?<\/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-36]' id='ays-answer-170-5' value='170'\/>\n\n                <label for='ays-answer-170-5' class='  ays_position_initial  ays-quiz-keyboard-label'>8<\/label><label for='ays-answer-170-5' 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-36]' id='ays-answer-171-5' value='171'\/>\n\n                <label for='ays-answer-171-5' class='  ays_position_initial  ays-quiz-keyboard-label'>10<\/label><label for='ays-answer-171-5' 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-36]' id='ays-answer-172-5' value='172'\/>\n\n                <label for='ays-answer-172-5' class='  ays_position_initial  ays-quiz-keyboard-label'>12<\/label><label for='ays-answer-172-5' 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-36]' id='ays-answer-173-5' value='173'\/>\n\n                <label for='ays-answer-173-5' class='  ays_position_initial  ays-quiz-keyboard-label'>16<\/label><label for='ays-answer-173-5' 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-36]' id='ays-answer-174-5' value='174'\/>\n\n                <label for='ays-answer-174-5' class='  ays_position_initial  ays-quiz-keyboard-label'>18<\/label><label for='ays-answer-174-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['36'] = '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 style=\"text-align: left\"><span style=\"color: #808080\"><em>To solve this, we calculate how many ways Gregor and Mila can each occupy a molehill. There are <strong>4 molehills<\/strong>, and both Gregor and Mila must choose different ones.<\/em><\/span><\/p>\n<ol style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em><strong>Step 1:<\/strong> Gregor chooses a molehill.<\/em><\/span>\n<ul>\n<li><span style=\"color: #808080\"><em>He has <strong>4 choices<\/strong> (any of the 4 molehills).<\/em><\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"color: #808080\"><em><strong>Step 2:<\/strong> Mila chooses a molehill.<\/em><\/span>\n<ul>\n<li><span style=\"color: #808080\"><em>Mila cannot choose the same molehill as Gregor, so she has <strong>3 choices<\/strong> (the remaining molehills).<\/em><\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"color: #808080\"><em><strong>Step 3:<\/strong> Multiply the choices.<\/em><\/span>\n<ul>\n<li><span style=\"color: #808080\"><em>The total number of possibilities is <span class=\"katex\"><span class=\"katex-mathml\">4\u00d73=12.<\/span><\/span><\/em><\/span><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<hr \/>\n<h3 style=\"text-align: left\"><span style=\"color: #808080\"><em>Final Answer: <strong>12<\/strong><\/em><\/span><\/h3>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your answer is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>To solve this, we calculate how many ways Gregor and Mila can each occupy a molehill. There are <strong>4 molehills<\/strong>, and both Gregor and Mila must choose different ones.<\/em><\/span><\/p>\n<ol style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em><strong>Step 1:<\/strong> Gregor chooses a molehill.<\/em><\/span>\n<ul>\n<li><span style=\"color: #808080\"><em>He has <strong>4 choices<\/strong> (any of the 4 molehills).<\/em><\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"color: #808080\"><em><strong>Step 2:<\/strong> Mila chooses a molehill.<\/em><\/span>\n<ul>\n<li><span style=\"color: #808080\"><em>Mila cannot choose the same molehill as Gregor, so she has <strong>3 choices<\/strong> (the remaining molehills).<\/em><\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"color: #808080\"><em><strong>Step 3:<\/strong> Multiply the choices.<\/em><\/span>\n<ul>\n<li><span style=\"color: #808080\"><em>The total number of possibilities is <span class=\"katex\"><span class=\"katex-mathml\">4\u00d73=12.<\/span><\/span><\/em><\/span><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<hr \/>\n<h3 style=\"text-align: left\"><span style=\"color: #808080\"><em>Final Answer: <strong>12<\/strong><\/em><\/span><\/h3>\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='40' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>16. <\/p>\n<p style=\"text-align: left\">Tilman has built a race track with his uncle for his two mice Ping and Pong.<br \/>\nIt consists of a square and a pentagon. The sides of the pentagon are the same length as the sides of the square.<br \/>\nRight at the first test, the two mice run off in different directions from the starting point. They are both equally fast. Ping always runs clockwise around<br \/>\nthe square. Pong always runs clockwise around the pentagon.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59239\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-192224-310x373.png\" alt=\"\" width=\"310\" height=\"373\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-192224.png 310w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-192224-249x300.png 249w\" sizes=\"auto, (max-width: 310px) 100vw, 310px\" \/><\/p>\n<p style=\"text-align: left\">Tilman has determined with the stopwatch: Pong completes a full lap around the pentagon in exactly 10 seconds.<br \/>\nHow many seconds after the start will the mice Ping and Pong meet the next time?<\/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-40]' id='ays-answer-190-5' value='190'\/>\n\n                <label for='ays-answer-190-5' class='  ays_position_initial  ays-quiz-keyboard-label'>17 seconds<\/label><label for='ays-answer-190-5' 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-40]' id='ays-answer-191-5' value='191'\/>\n\n                <label for='ays-answer-191-5' class='  ays_position_initial  ays-quiz-keyboard-label'>22 seconds<\/label><label for='ays-answer-191-5' 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-40]' id='ays-answer-192-5' value='192'\/>\n\n                <label for='ays-answer-192-5' class='  ays_position_initial  ays-quiz-keyboard-label'>25 seconds<\/label><label for='ays-answer-192-5' 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-40]' id='ays-answer-193-5' value='193'\/>\n\n                <label for='ays-answer-193-5' class='  ays_position_initial  ays-quiz-keyboard-label'>26 seconds<\/label><label for='ays-answer-193-5' 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-40]' id='ays-answer-194-5' value='194'\/>\n\n                <label for='ays-answer-194-5' class='  ays_position_initial  ays-quiz-keyboard-label'>30 seconds<\/label><label for='ays-answer-194-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['40'] = '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 style=\"text-align: left\"><span style=\"color: #808080\"><em>Since Pong completes a full lap around the square in 10 seconds, he takes 2 seconds to run along one side. Since all sides of the square track are of equal length, Ping also takes 2 seconds to complete one side.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>We observe both mice simultaneously as they run. To make this easier, we label the corners of the track:<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59240\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-194542-225x335.png\" alt=\"\" width=\"225\" height=\"335\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-194542.png 225w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-194542-201x300.png 201w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>We monitor their meetings regularly. In the table, we have recorded the positions of Ping and Pong at the start and then after 2 seconds, after 4 seconds, after 6 seconds, and so on.<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59241\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-194750-603x103.png\" alt=\"\" width=\"603\" height=\"103\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-194750.png 603w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-194750-300x51.png 300w\" sizes=\"auto, (max-width: 603px) 100vw, 603px\" \/><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>They meet again at point D after a duration of 22 seconds.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your answer is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Since Pong completes a full lap around the square in 10 seconds, he takes 2 seconds to run along one side. Since all sides of the square track are of equal length, Ping also takes 2 seconds to complete one side.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>We observe both mice simultaneously as they run. To make this easier, we label the corners of the track:<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59240\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-194542-225x335.png\" alt=\"\" width=\"225\" height=\"335\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-194542.png 225w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-194542-201x300.png 201w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>We monitor their meetings regularly. In the table, we have recorded the positions of Ping and Pong at the start and then after 2 seconds, after 4 seconds, after 6 seconds, and so on.<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59241\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-194750-603x103.png\" alt=\"\" width=\"603\" height=\"103\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-194750.png 603w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-15-194750-300x51.png 300w\" sizes=\"auto, (max-width: 603px) 100vw, 603px\" \/><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>They meet again at point D after a duration of 22 seconds.<\/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='42' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>17. <\/p>\n<p style=\"text-align: left\">Carla and Diego go on an excursion to the children\u2019s farm at the weekend.<br \/>\nThey learn from the farmer that the chickens are particularly diligent at the moment. \u201cYesterday they laid 10 brown and 14 white eggs,\u201d the farmer tells<br \/>\nthem. Today Carla and Diego are allowed to collect the freshly laid eggs. They count how many eggs there are of each kind and give the farmer a task: \u201cThere are half as many brown eggs today as yesterday, but twice as many white eggs as yesterday.\u201d<br \/>\nThe farmer has to find out how many eggs there are in total today.<br \/>\nHow many eggs did the hens lay in total today?<\/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-42]' id='ays-answer-200-5' value='200'\/>\n\n                <label for='ays-answer-200-5' class='  ays_position_initial  ays-quiz-keyboard-label'>25<\/label><label for='ays-answer-200-5' 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-42]' id='ays-answer-201-5' value='201'\/>\n\n                <label for='ays-answer-201-5' class='  ays_position_initial  ays-quiz-keyboard-label'>29<\/label><label for='ays-answer-201-5' 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-42]' id='ays-answer-202-5' value='202'\/>\n\n                <label for='ays-answer-202-5' class='  ays_position_initial  ays-quiz-keyboard-label'>30<\/label><label for='ays-answer-202-5' 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-42]' id='ays-answer-203-5' value='203'\/>\n\n                <label for='ays-answer-203-5' class='  ays_position_initial  ays-quiz-keyboard-label'>33<\/label><label for='ays-answer-203-5' 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-42]' id='ays-answer-204-5' value='204'\/>\n\n                <label for='ays-answer-204-5' class='  ays_position_initial  ays-quiz-keyboard-label'>35<\/label><label for='ays-answer-204-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['42'] = '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 style=\"text-align: left\"><em><span style=\"color: #808080\">We are given:<\/span><\/em><\/p>\n<ul style=\"text-align: left\">\n<li><em><span style=\"color: #808080\"><strong>Yesterday<\/strong>: 10 brown eggs and 14 white eggs.<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>Today<\/strong>: Half as many brown eggs as yesterday and twice as many white eggs as yesterday.<\/span><\/em><\/li>\n<\/ul>\n<h3 style=\"text-align: left\"><em><span style=\"color: #808080\">Step 1: Calculate the number of brown eggs today<\/span><\/em><\/h3>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Yesterday's brown eggs = 10<\/span><\/em><br \/>\n<em><span style=\"color: #808080\">Today, there are half as many:<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span class=\"katex-display\" style=\"color: #808080\"><span class=\"katex\"><span class=\"katex-mathml\">Brown eggs today = 10\/2=5<\/span><\/span><\/span><\/em><\/p>\n<h3 style=\"text-align: left\"><em><span style=\"color: #808080\">Step 2: Calculate the number of white eggs today<\/span><\/em><\/h3>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Yesterday's white eggs = 14<\/span><\/em><br \/>\n<em><span style=\"color: #808080\">Today, there are twice as many:<\/span><\/em><\/p>\n<p style=\"text-align: left\"><em><span class=\"katex-display\" style=\"color: #808080\"><span class=\"katex\"><span class=\"katex-mathml\">White eggs today=14\u00d72=28<\/span><\/span><\/span><\/em><\/p>\n<h3 style=\"text-align: left\"><em><span style=\"color: #808080\">Step 3: Find the total number of eggs today<\/span><\/em><\/h3>\n<p style=\"text-align: left\"><em><span class=\"katex-display\" style=\"color: #808080\"><span class=\"katex\"><span class=\"katex-mathml\">Total eggs today=Brown eggs today + White eggs today=5+28=33<\/span><\/span><\/span><\/em><\/p>\n<h3 style=\"text-align: left\"><em><span style=\"color: #808080\">Final Answer:<\/span><\/em><\/h3>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">The hens laid <strong>33 eggs in total<\/strong> today.<\/span><\/em><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p><span style=\"color: #008000\"><strong>Yes, your answer is correct! \ud83c\udf89<\/strong><\/span><\/p>\n<div class=\"flex max-w-full flex-col flex-grow\">\n<div class=\"min-h-8 text-message flex w-full flex-col items-end gap-2 whitespace-normal break-words text-start [.text-message+&amp;]:mt-5\" dir=\"auto\" data-message-author-role=\"assistant\" data-message-id=\"2f34271c-457c-4728-b944-2f1379d1fd73\" data-message-model-slug=\"gpt-4o\">\n<div class=\"flex w-full flex-col gap-1 empty:hidden first:pt-[3px]\">\n<div class=\"markdown prose w-full break-words dark:prose-invert dark\">\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">We are given:<\/span><\/em><\/p>\n<ul style=\"text-align: left\">\n<li><em><span style=\"color: #808080\"><strong>Yesterday<\/strong>: 10 brown eggs and 14 white eggs.<\/span><\/em><\/li>\n<li><em><span style=\"color: #808080\"><strong>Today<\/strong>: Half as many brown eggs as yesterday and twice as many white eggs as yesterday.<\/span><\/em><\/li>\n<\/ul>\n<h3 style=\"text-align: left\"><em><span style=\"color: #808080\">Step 1: Calculate the number of brown eggs today<\/span><\/em><\/h3>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Yesterday's brown eggs = 10<\/span><\/em><br \/>\n<em><span style=\"color: #808080\">Today, there are half as many:<\/span><\/em><\/p>\n<p><em><span class=\"katex-display\" style=\"color: #808080\"><span class=\"katex\"><span class=\"katex-mathml\">Brown eggs today = 10\/2=5<\/span><\/span><\/span><\/em><\/p>\n<h3 style=\"text-align: left\"><em><span style=\"color: #808080\">Step 2: Calculate the number of white eggs today<\/span><\/em><\/h3>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">Yesterday's white eggs = 14<\/span><\/em><br \/>\n<em><span style=\"color: #808080\">Today, there are twice as many:<\/span><\/em><\/p>\n<p><em><span class=\"katex-display\" style=\"color: #808080\"><span class=\"katex\"><span class=\"katex-mathml\">White eggs today=14\u00d72=28<\/span><\/span><\/span><\/em><\/p>\n<h3 style=\"text-align: left\"><em><span style=\"color: #808080\">Step 3: Find the total number of eggs today<\/span><\/em><\/h3>\n<p><em><span class=\"katex-display\" style=\"color: #808080\"><span class=\"katex\"><span class=\"katex-mathml\">Total eggs today=Brown eggs today + White eggs today=5+28=33<\/span><\/span><\/span><\/em><\/p>\n<h3 style=\"text-align: left\"><em><span style=\"color: #808080\">Final Answer:<\/span><\/em><\/h3>\n<p style=\"text-align: left\"><em><span style=\"color: #808080\">The hens laid <strong>33 eggs in total<\/strong> today.<\/span><\/em><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\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='44' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>18. <\/p>\n<p style=\"text-align: left\">There are 5 zebras in our zoo.<br \/>\nThe zebras Calipso and Chantal are twins and look exactly the same.<br \/>\nThe zebras Rube and Rabauke are also twins and look exactly the same.<br \/>\nThe fifth zebra is called Diana, her stripe pattern looks a bit different.<br \/>\nWhich zebra is Diana?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59248\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-18-071826-663x693.png\" alt=\"\" width=\"663\" height=\"693\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-18-071826.png 663w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-18-071826-287x300.png 287w\" sizes=\"auto, (max-width: 663px) 100vw, 663px\" \/><\/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-44]' id='ays-answer-210-5' value='210'\/>\n\n                <label for='ays-answer-210-5' class='  ays_position_initial  ays-quiz-keyboard-label'>O<\/label><label for='ays-answer-210-5' 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-44]' id='ays-answer-211-5' value='211'\/>\n\n                <label for='ays-answer-211-5' class='  ays_position_initial  ays-quiz-keyboard-label'>J<\/label><label for='ays-answer-211-5' 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-44]' id='ays-answer-212-5' value='212'\/>\n\n                <label for='ays-answer-212-5' class='  ays_position_initial  ays-quiz-keyboard-label'>E<\/label><label for='ays-answer-212-5' 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-44]' id='ays-answer-213-5' value='213'\/>\n\n                <label for='ays-answer-213-5' class='  ays_position_initial  ays-quiz-keyboard-label'>L<\/label><label for='ays-answer-213-5' 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-44]' id='ays-answer-214-5' value='214'\/>\n\n                <label for='ays-answer-214-5' class='  ays_position_initial  ays-quiz-keyboard-label'>Q<\/label><label for='ays-answer-214-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['44'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The two zebras located at (J) and (Q) each have an extra stripe around their eye, and their bellies appear slightly different from those of the other three zebras. This indicates that they are a pair of twins. The zebras at (O) and (L) have unique stripe patterns on their hindquarters compared to the other three zebras, identifying them as the second pair of twins. Therefore, the zebra at (E) must be named Diana.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The two zebras located at (J) and (Q) each have an extra stripe around their eye, and their bellies appear slightly different from those of the other three zebras. This indicates that they are a pair of twins. The zebras at (O) and (L) have unique stripe patterns on their hindquarters compared to the other three zebras, identifying them as the second pair of twins. Therefore, the zebra at (E) must be named Diana.<\/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='46' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>19. <\/p>\n<p style=\"text-align: left\">Anna, Nele, Alina, Linus and Ella are playing in the snow. Four of them draw letters in the snow, each of them all the letters of their own name.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59252\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-072342-625x335.png\" alt=\"\" width=\"625\" height=\"335\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-072342.png 625w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-072342-300x161.png 300w\" sizes=\"auto, (max-width: 625px) 100vw, 625px\" \/><\/p>\n<p style=\"text-align: left\">The fifth child has taken the neighbor's cat in its arms and therefore cannot draw any letters in the snow.<br \/>\nWhich child has the cat in its arms?<\/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-46]' id='ays-answer-220-5' value='220'\/>\n\n                <label for='ays-answer-220-5' class='  ays_position_initial  ays-quiz-keyboard-label'>ANNA<\/label><label for='ays-answer-220-5' 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-46]' id='ays-answer-221-5' value='221'\/>\n\n                <label for='ays-answer-221-5' class='  ays_position_initial  ays-quiz-keyboard-label'>NELE<\/label><label for='ays-answer-221-5' 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-46]' id='ays-answer-222-5' value='222'\/>\n\n                <label for='ays-answer-222-5' class='  ays_position_initial  ays-quiz-keyboard-label'>ALINA<\/label><label for='ays-answer-222-5' 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-46]' id='ays-answer-223-5' value='223'\/>\n\n                <label for='ays-answer-223-5' class='  ays_position_initial  ays-quiz-keyboard-label'>LINUS<\/label><label for='ays-answer-223-5' 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-46]' id='ays-answer-224-5' value='224'\/>\n\n                <label for='ays-answer-224-5' class='  ays_position_initial  ays-quiz-keyboard-label'>ELLA<\/label><label for='ays-answer-224-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['46'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>We count how often the letters appear in the names and in the snow.<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-59253\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Merry-Christmas-Advent-Calendar-4-716x153.png\" alt=\"\" width=\"482\" height=\"103\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Merry-Christmas-Advent-Calendar-4.png 716w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Merry-Christmas-Advent-Calendar-4-300x64.png 300w\" sizes=\"auto, (max-width: 482px) 100vw, 482px\" \/><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>From the count, one A, one E, and two L's are missing. These letters spell out the name \"ELLA.\" Therefore, Ella is the one holding the cat in her arms! \ud83d\udc3e<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>We count how often the letters appear in the names and in the snow.<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-59253\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Merry-Christmas-Advent-Calendar-4-716x153.png\" alt=\"\" width=\"482\" height=\"103\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Merry-Christmas-Advent-Calendar-4.png 716w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Merry-Christmas-Advent-Calendar-4-300x64.png 300w\" sizes=\"auto, (max-width: 482px) 100vw, 482px\" \/><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>From the count, one A, one E, and two L's are missing. These letters spell out the name \"ELLA.\" Therefore, Ella is the one holding the cat in her arms! \ud83d\udc3e<\/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='48' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>20. <\/p>\n<p style=\"text-align: left\">Meike and Gregor are in the zoo. They want to watch the feeding of the penguins. Just before it starts, five penguins are already standing neatly in a<br \/>\nrow, waiting quietly. Meike and Gregor take a photo of them. Meike took this photo from the left:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59259\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-161627-247x139.png\" alt=\"\" width=\"247\" height=\"139\" \/><\/p>\n<p style=\"text-align: left\">Gregor took a photo from the right at the same time.<br \/>\nWhat does Gregor\u2019s photo look like?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59260\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-161757-624x455.png\" alt=\"\" width=\"624\" height=\"455\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-161757.png 624w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-161757-300x219.png 300w\" sizes=\"auto, (max-width: 624px) 100vw, 624px\" \/><\/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-48]' id='ays-answer-230-5' value='230'\/>\n\n                <label for='ays-answer-230-5' class='  ays_position_initial  ays-quiz-keyboard-label'>A<\/label><label for='ays-answer-230-5' 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-48]' id='ays-answer-231-5' value='231'\/>\n\n                <label for='ays-answer-231-5' class='  ays_position_initial  ays-quiz-keyboard-label'>Z<\/label><label for='ays-answer-231-5' 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-48]' id='ays-answer-232-5' value='232'\/>\n\n                <label for='ays-answer-232-5' class='  ays_position_initial  ays-quiz-keyboard-label'>P<\/label><label for='ays-answer-232-5' 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-48]' id='ays-answer-233-5' value='233'\/>\n\n                <label for='ays-answer-233-5' class='  ays_position_initial  ays-quiz-keyboard-label'>G<\/label><label for='ays-answer-233-5' 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-48]' id='ays-answer-234-5' value='234'\/>\n\n                <label for='ays-answer-234-5' class='  ays_position_initial  ays-quiz-keyboard-label'>C<\/label><label for='ays-answer-234-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['48'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Since all the cords in the photo from the left are pointing to the left, in the photo from the right, all the cords must point to the right. Therefore, photos (Z) and (P) are eliminated.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The smallest penguin, visible on the far left in the photo from the left, must appear on the far right in the photo from the right. This means the correct photo can only be photo (C).<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Photo (C) is the mirrored version of the photo from the left. To confirm this, you can hold the sheet against the light, look at the photo from the left from behind, and compare this view with the possible solutions.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Thus, the solution is <strong>photo (C)<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Since all the cords in the photo from the left are pointing to the left, in the photo from the right, all the cords must point to the right. Therefore, photos (Z) and (P) are eliminated.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The smallest penguin, visible on the far left in the photo from the left, must appear on the far right in the photo from the right. This means the correct photo can only be photo (C).<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Photo (C) is the mirrored version of the photo from the left. To confirm this, you can hold the sheet against the light, look at the photo from the left from behind, and compare this view with the possible solutions.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Thus, the solution is <strong>photo (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='50' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>21. <\/p>\n<p style=\"text-align: left\">A medieval Christmas market has opened nearby. There are 24 booths of craftswomen and craftsmen there. They are numbered from 1 to 24.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59262\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-220047-661x152.png\" alt=\"\" width=\"661\" height=\"152\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-220047.png 661w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-220047-300x69.png 300w\" sizes=\"auto, (max-width: 661px) 100vw, 661px\" \/><\/p>\n<p style=\"text-align: left\">A spider web is attached to each 1 as decoration. All other numbers are clear.<br \/>\nHow many spider webs in total are there on the numbers of the 24 booths?<\/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-50]' id='ays-answer-240-5' value='240'\/>\n\n                <label for='ays-answer-240-5' class='  ays_position_initial  ays-quiz-keyboard-label'>10<\/label><label for='ays-answer-240-5' 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-50]' id='ays-answer-241-5' value='241'\/>\n\n                <label for='ays-answer-241-5' class='  ays_position_initial  ays-quiz-keyboard-label'>13<\/label><label for='ays-answer-241-5' 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-50]' id='ays-answer-242-5' value='242'\/>\n\n                <label for='ays-answer-242-5' class='  ays_position_initial  ays-quiz-keyboard-label'>15<\/label><label for='ays-answer-242-5' 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-50]' id='ays-answer-243-5' value='243'\/>\n\n                <label for='ays-answer-243-5' class='  ays_position_initial  ays-quiz-keyboard-label'>17<\/label><label for='ays-answer-243-5' 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-50]' id='ays-answer-244-5' value='244'\/>\n\n                <label for='ays-answer-244-5' class='  ays_position_initial  ays-quiz-keyboard-label'>20<\/label><label for='ays-answer-244-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['50'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The digit <strong>1<\/strong> appears in:<\/em><\/span><\/p>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>The <strong>ones place<\/strong> in the numbers <strong>1, 11, and 21<\/strong> (3 occurrences).<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>The <strong>tens place<\/strong> in the 10 numbers from <strong>10 to 19<\/strong>.<\/em><\/span><\/li>\n<\/ul>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Thus, the total count is <strong>3 + 10 = 13<\/strong>.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Therefore, there are <strong>13 spider webs<\/strong> where the digit 1 appears.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The digit <strong>1<\/strong> appears in:<\/em><\/span><\/p>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>The <strong>ones place<\/strong> in the numbers <strong>1, 11, and 21<\/strong> (3 occurrences).<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>The <strong>tens place<\/strong> in the 10 numbers from <strong>10 to 19<\/strong>.<\/em><\/span><\/li>\n<\/ul>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Thus, the total count is <strong>3 + 10 = 13<\/strong>.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Therefore, there are <strong>13 spider webs<\/strong> where the digit 1 appears.<\/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='52' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>22. <\/p>\n<p style=\"text-align: left\">The ice floe on which Waldemar the walrus usually takes his nap has broken into several pieces:<br \/>\n4 triangles, 2 squares of different sizes and one pentagon.<br \/>\nWaldemar pushes all the pieces back together. During the night, hopefully they will freeze together again.<br \/>\nWhat might Waldemar\u2019s ice floe look like?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59265\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-221416-621x667.png\" alt=\"\" width=\"621\" height=\"667\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-221416.png 621w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-221416-279x300.png 279w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/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-52]' id='ays-answer-250-5' value='250'\/>\n\n                <label for='ays-answer-250-5' class='  ays_position_initial  ays-quiz-keyboard-label'>S<\/label><label for='ays-answer-250-5' 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-52]' id='ays-answer-251-5' value='251'\/>\n\n                <label for='ays-answer-251-5' class='  ays_position_initial  ays-quiz-keyboard-label'>Y<\/label><label for='ays-answer-251-5' 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-52]' id='ays-answer-252-5' value='252'\/>\n\n                <label for='ays-answer-252-5' class='  ays_position_initial  ays-quiz-keyboard-label'>W<\/label><label for='ays-answer-252-5' 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-52]' id='ays-answer-253-5' value='253'\/>\n\n                <label for='ays-answer-253-5' class='  ays_position_initial  ays-quiz-keyboard-label'>U<\/label><label for='ays-answer-253-5' 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-52]' id='ays-answer-254-5' value='254'\/>\n\n                <label for='ays-answer-254-5' class='  ays_position_initial  ays-quiz-keyboard-label'>H<\/label><label for='ays-answer-254-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['52'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<ul>\n<li style=\"text-align: left\"><span style=\"color: #808080\"><em>In (S), there is a <strong>hexagon<\/strong> in place of the base.<\/em><\/span><\/li>\n<li style=\"text-align: left\"><span style=\"color: #808080\"><em>In (Y), there are <strong>two rectangles<\/strong> but no squares, and there are only <strong>3 triangles<\/strong> instead of 4.<\/em><\/span><\/li>\n<li style=\"text-align: left\"><span style=\"color: #808080\"><em>In (W), the squares are the <strong>same size<\/strong>, and instead of a polygon, there is a <strong>quadrilateral<\/strong>, specifically a <strong>trapezoid<\/strong>.<\/em><\/span><\/li>\n<li style=\"text-align: left\"><span style=\"color: #808080\"><em>In (H), a <strong>rhombus<\/strong> replaces a square.<\/em><\/span><\/li>\n<li style=\"text-align: left\"><span style=\"color: #808080\"><em>Only ice floe (U) matches the criteria: <strong>4 triangles<\/strong>, <strong>2 squares of different sizes<\/strong>, and a <strong>polygon<\/strong>.<\/em><\/span><\/li>\n<\/ul>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Thus, (U) is the correct answer.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<ul>\n<li style=\"text-align: left\"><span style=\"color: #808080\"><em>In (S), there is a <strong>hexagon<\/strong> in place of the base.<\/em><\/span><\/li>\n<li style=\"text-align: left\"><span style=\"color: #808080\"><em>In (Y), there are <strong>two rectangles<\/strong> but no squares, and there are only <strong>3 triangles<\/strong> instead of 4.<\/em><\/span><\/li>\n<li style=\"text-align: left\"><span style=\"color: #808080\"><em>In (W), the squares are the <strong>same size<\/strong>, and instead of a polygon, there is a <strong>quadrilateral<\/strong>, specifically a <strong>trapezoid<\/strong>.<\/em><\/span><\/li>\n<li style=\"text-align: left\"><span style=\"color: #808080\"><em>In (H), a <strong>rhombus<\/strong> replaces a square.<\/em><\/span><\/li>\n<li style=\"text-align: left\"><span style=\"color: #808080\"><em>Only ice floe (U) matches the criteria: <strong>4 triangles<\/strong>, <strong>2 squares of different sizes<\/strong>, and a <strong>polygon<\/strong>.<\/em><\/span><\/li>\n<\/ul>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Thus, (U) is the correct answer.<\/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='54' 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;'>2024 Math Kangaroo Advent Calendar Maxi<\/strong>\n                    <\/p>\n                        <div class='ays_quiz_question'>\n                                <p>23. <\/p>\n<p style=\"text-align: left\">Sabrina and Timo visit a reindeer enclosure. The reindeer is the only species of deer in which both the male and female animals have antlers. Every year<br \/>\nthey shed them and grow new ones.<br \/>\nThere are 3 curious reindeer standing by the fence. \u201cThe antlers have many ends \u2013 these are the tips on the antlers,\u201d Timo knows. The two look closely<br \/>\nat the antlers.<br \/>\nThe first reindeer peers over the fence, it has the biggest antlers:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59267\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-19-223222-279x300.png\" alt=\"\" width=\"279\" height=\"300\" \/><\/p>\n<p style=\"text-align: left\">His antlers have as many ends as the antlers of the second reindeer and the antlers of the third reindeer together.<br \/>\nThe second reindeer\u2019s antlers have 4 more ends than the third reindeer\u2019s antlers.<br \/>\nHow many ends does the third reindeer\u2019s antlers have?<\/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-54]' id='ays-answer-260-5' value='260'\/>\n\n                <label for='ays-answer-260-5' class='  ays_position_initial  ays-quiz-keyboard-label'>5<\/label><label for='ays-answer-260-5' 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-54]' id='ays-answer-261-5' value='261'\/>\n\n                <label for='ays-answer-261-5' class='  ays_position_initial  ays-quiz-keyboard-label'>6<\/label><label for='ays-answer-261-5' 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-54]' id='ays-answer-262-5' value='262'\/>\n\n                <label for='ays-answer-262-5' class='  ays_position_initial  ays-quiz-keyboard-label'>7<\/label><label for='ays-answer-262-5' 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-54]' id='ays-answer-263-5' value='263'\/>\n\n                <label for='ays-answer-263-5' class='  ays_position_initial  ays-quiz-keyboard-label'>8<\/label><label for='ays-answer-263-5' 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-54]' id='ays-answer-264-5' value='264'\/>\n\n                <label for='ays-answer-264-5' class='  ays_position_initial  ays-quiz-keyboard-label'>9<\/label><label for='ays-answer-264-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['54'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Let's walk through the steps to solve this problem.<\/em><\/span><\/p>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em><strong>The third reindeer's antlers:<\/strong> We need to figure out how many ends the third reindeer has.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em><strong>The second reindeer's antlers:<\/strong> It has 4 more ends than the third reindeer.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em><strong>The first reindeer's antlers:<\/strong> The total number of ends on the first reindeer's antlers is the sum of the ends on the second and third reindeer.<\/em><\/span><\/li>\n<\/ul>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>We are given that the first reindeer has 18 ends. Now, let's work through the possibilities.<\/em><\/span><\/p>\n<h3>Table of possible values:<\/h3>\n<table>\n<thead>\n<tr>\n<th>3rd reindeer<\/th>\n<th>2nd reindeer (3rd + 4)<\/th>\n<th>1st reindeer (2nd + 3rd)<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>4<\/td>\n<td>4<\/td>\n<\/tr>\n<tr>\n<td>1<\/td>\n<td>5<\/td>\n<td>6<\/td>\n<\/tr>\n<tr>\n<td>2<\/td>\n<td>6<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td>3<\/td>\n<td>7<\/td>\n<td>10<\/td>\n<\/tr>\n<tr>\n<td>4<\/td>\n<td>8<\/td>\n<td>12<\/td>\n<\/tr>\n<tr>\n<td>5<\/td>\n<td>9<\/td>\n<td>14<\/td>\n<\/tr>\n<tr>\n<td>6<\/td>\n<td>10<\/td>\n<td>16<\/td>\n<\/tr>\n<tr>\n<td>7<\/td>\n<td>11<\/td>\n<td>18<\/td>\n<\/tr>\n<tr>\n<td>8<\/td>\n<td>12<\/td>\n<td>20<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3 style=\"text-align: left\"><span style=\"color: #808080\"><em>Explanation:<\/em><\/span><\/h3>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>When the third reindeer has <strong>7 ends<\/strong>, the second reindeer will have <span class=\"katex\"><span class=\"katex-mathml\">7+4=11<\/span><\/span>\u00a0ends.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>The first reindeer will then have <span class=\"katex\"><span class=\"katex-mathml\">7+11=18<\/span><\/span>\u00a0ends, which matches the given number.<\/em><\/span><\/li>\n<\/ul>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Therefore, <strong>the third reindeer has 7 ends<\/strong>.<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Let's walk through the steps to solve this problem.<\/em><\/span><\/p>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em><strong>The third reindeer's antlers:<\/strong> We need to figure out how many ends the third reindeer has.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em><strong>The second reindeer's antlers:<\/strong> It has 4 more ends than the third reindeer.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em><strong>The first reindeer's antlers:<\/strong> The total number of ends on the first reindeer's antlers is the sum of the ends on the second and third reindeer.<\/em><\/span><\/li>\n<\/ul>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>We are given that the first reindeer has 18 ends. Now, let's work through the possibilities.<\/em><\/span><\/p>\n<h3>Table of possible values:<\/h3>\n<table>\n<thead>\n<tr>\n<th>3rd reindeer<\/th>\n<th>2nd reindeer (3rd + 4)<\/th>\n<th>1st reindeer (2nd + 3rd)<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>4<\/td>\n<td>4<\/td>\n<\/tr>\n<tr>\n<td>1<\/td>\n<td>5<\/td>\n<td>6<\/td>\n<\/tr>\n<tr>\n<td>2<\/td>\n<td>6<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td>3<\/td>\n<td>7<\/td>\n<td>10<\/td>\n<\/tr>\n<tr>\n<td>4<\/td>\n<td>8<\/td>\n<td>12<\/td>\n<\/tr>\n<tr>\n<td>5<\/td>\n<td>9<\/td>\n<td>14<\/td>\n<\/tr>\n<tr>\n<td>6<\/td>\n<td>10<\/td>\n<td>16<\/td>\n<\/tr>\n<tr>\n<td>7<\/td>\n<td>11<\/td>\n<td>18<\/td>\n<\/tr>\n<tr>\n<td>8<\/td>\n<td>12<\/td>\n<td>20<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3 style=\"text-align: left\"><span style=\"color: #808080\"><em>Explanation:<\/em><\/span><\/h3>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>When the third reindeer has <strong>7 ends<\/strong>, the second reindeer will have <span class=\"katex\"><span class=\"katex-mathml\">7+4=11<\/span><\/span>\u00a0ends.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>The first reindeer will then have <span class=\"katex\"><span class=\"katex-mathml\">7+11=18<\/span><\/span>\u00a0ends, which matches the given number.<\/em><\/span><\/li>\n<\/ul>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Therefore, <strong>the third reindeer has 7 ends<\/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='56' 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;'>2024 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-59270\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-20-070433-677x813.png\" alt=\"\" width=\"677\" height=\"813\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-20-070433.png 677w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-20-070433-250x300.png 250w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/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-56]' id='ays-answer-271-5' value='271'\/>\n\n                <label for='ays-answer-271-5' class='  ays_position_initial  ays-quiz-keyboard-label'>Happy Holidays ( Fr\u00f6hliche Ferine)<\/label><label for='ays-answer-271-5' 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-56]' id='ays-answer-272-5' value='272'\/>\n\n                <label for='ays-answer-272-5' class='  ays_position_initial  ays-quiz-keyboard-label'>The hedgehog hibernates (Der IGEL IGEL H\u00c4LT WINTERSCHLAF)<\/label><label for='ays-answer-272-5' class='ays_answer_image ays_answer_image_class ays_empty_before_content'><\/label>\n\n            <\/div><script>\n            if(typeof window.quizOptions_5 === 'undefined'){\n                window.quizOptions_5 = [];\n            }\n            window.quizOptions_5['56'] = '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 style=\"text-align: left\"><span style=\"color: #000080\"><strong>That\u2019s not quite correct. \ud83e\udd14<\/strong><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>We enter the correct solution letters into the solution grid:<\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59271\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-20-072555-664x53.png\" alt=\"\" width=\"664\" height=\"53\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-20-072555.png 664w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-20-072555-300x24.png 300w\" sizes=\"auto, (max-width: 664px) 100vw, 664px\" \/><\/p>\n<p>The decryption process:<\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The solution word was encrypted using Matheo's method. To decrypt it, we first write the digits of the date 24.12.2022 above the message repeatedly until every letter has a number assigned above it:<\/em><\/span><\/p>\n<div class=\"contain-inline-size rounded-md border-[0.5px] border-token-border-medium relative bg-token-sidebar-surface-primary dark:bg-gray-950\">\n<div class=\"flex items-center text-token-text-secondary px-4 py-2 text-xs font-sans justify-between rounded-t-md h-9 bg-token-sidebar-surface-primary dark:bg-token-main-surface-secondary select-none\"><\/div>\n<div class=\"overflow-y-auto p-4\" dir=\"ltr\"><code class=\"!whitespace-pre hljs language-css\"><span class=\"hljs-selector-tag\">B<\/span>   <span class=\"hljs-selector-tag\">A<\/span>   <span class=\"hljs-selector-tag\">Q<\/span>   G   E   E   J   F   Y   H   S   U   G   N   R   C   <span class=\"hljs-selector-tag\">P<\/span>   O   <span class=\"hljs-selector-tag\">B<\/span>   F   J   <span class=\"hljs-selector-tag\">A<\/span>   D<br \/>\n<\/code><\/div>\n<div class=\"overflow-y-auto p-4\" dir=\"ltr\"><code class=\"!whitespace-pre hljs language-css\"><span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">4<\/span>   <span class=\"hljs-number\">1<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">0<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">4<\/span>   <span class=\"hljs-number\">1<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">0<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">4<\/span>   <span class=\"hljs-number\">1<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">0<\/span>   <span class=\"hljs-number\">2<\/span><br \/>\n<\/code><\/div>\n<\/div>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Now, we replace each letter with the letter that is as many positions further in the alphabet as the number written above it indicates. For example:<\/em><\/span><\/p>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>The <strong>B<\/strong> at the beginning is replaced with <strong>D<\/strong>, which is 2 positions after B.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>The <strong>A<\/strong> is replaced with <strong>E<\/strong>, which is 4 positions after A.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>The <strong>Q<\/strong> is replaced with <strong>R<\/strong>, which is 1 position after Q.<\/em><\/span><\/li>\n<\/ul>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The first part of the decrypted solution is: <strong>DER<\/strong>.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Continuing this process:<\/em><\/span><\/p>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>G \u2192 I<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>E \u2192 G<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>E \u2192 E (unchanged since the number above it is 0)<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>J \u2192 L<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>...<\/em><\/span><\/li>\n<\/ul>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>When fully decrypted, the solution word forms a phrase that describes something a familiar animal does in winter. The final solution is:<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em><strong>DER IGEL H\u00c4LT WINTERSCHLAF<\/strong><\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>(<strong>The hedgehog hibernates<\/strong>).<\/em><\/span><\/p>\n\n                        <\/div>\n                        <div class='right_answer_text ' style='display:none'>\n                            <p style=\"text-align: left\"><strong><span style=\"color: #008000\">Yes, your solution is correct! \ud83c\udf89<\/span><\/strong><\/p>\n<p><span style=\"color: #808080\"><em>We enter the correct solution letters into the solution grid:<\/em><\/span><\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-59271\" src=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-20-072555-664x53.png\" alt=\"\" width=\"664\" height=\"53\" srcset=\"https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-20-072555.png 664w, https:\/\/mathkangaroo.org\/mks\/wp-content\/uploads\/2024\/12\/Screenshot-2024-12-20-072555-300x24.png 300w\" sizes=\"auto, (max-width: 664px) 100vw, 664px\" \/><\/p>\n<p>The decryption process:<\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The solution word was encrypted using Matheo's method. To decrypt it, we first write the digits of the date 24.12.2022 above the message repeatedly until every letter has a number assigned above it:<\/em><\/span><\/p>\n<div class=\"contain-inline-size rounded-md border-[0.5px] border-token-border-medium relative bg-token-sidebar-surface-primary dark:bg-gray-950\">\n<div class=\"flex items-center text-token-text-secondary px-4 py-2 text-xs font-sans justify-between rounded-t-md h-9 bg-token-sidebar-surface-primary dark:bg-token-main-surface-secondary select-none\"><\/div>\n<div class=\"overflow-y-auto p-4\" dir=\"ltr\"><code class=\"!whitespace-pre hljs language-css\"><span class=\"hljs-selector-tag\">B<\/span>   <span class=\"hljs-selector-tag\">A<\/span>   <span class=\"hljs-selector-tag\">Q<\/span>   G   E   E   J   F   Y   H   S   U   G   N   R   C   <span class=\"hljs-selector-tag\">P<\/span>   O   <span class=\"hljs-selector-tag\">B<\/span>   F   J   <span class=\"hljs-selector-tag\">A<\/span>   D<br \/>\n<\/code><\/div>\n<div class=\"overflow-y-auto p-4\" dir=\"ltr\"><code class=\"!whitespace-pre hljs language-css\"><span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">4<\/span>   <span class=\"hljs-number\">1<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">0<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">4<\/span>   <span class=\"hljs-number\">1<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">0<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">4<\/span>   <span class=\"hljs-number\">1<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">2<\/span>   <span class=\"hljs-number\">0<\/span>   <span class=\"hljs-number\">2<\/span><br \/>\n<\/code><\/div>\n<\/div>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Now, we replace each letter with the letter that is as many positions further in the alphabet as the number written above it indicates. For example:<\/em><\/span><\/p>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>The <strong>B<\/strong> at the beginning is replaced with <strong>D<\/strong>, which is 2 positions after B.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>The <strong>A<\/strong> is replaced with <strong>E<\/strong>, which is 4 positions after A.<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>The <strong>Q<\/strong> is replaced with <strong>R<\/strong>, which is 1 position after Q.<\/em><\/span><\/li>\n<\/ul>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>The first part of the decrypted solution is: <strong>DER<\/strong>.<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>Continuing this process:<\/em><\/span><\/p>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #808080\"><em>G \u2192 I<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>E \u2192 G<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>E \u2192 E (unchanged since the number above it is 0)<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>J \u2192 L<\/em><\/span><\/li>\n<li><span style=\"color: #808080\"><em>...<\/em><\/span><\/li>\n<\/ul>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em>When fully decrypted, the solution word forms a phrase that describes something a familiar animal does in winter. The final solution is:<\/em><\/span><\/p>\n<p style=\"text-align: left\"><span style=\"color: #808080\"><em><strong>DER IGEL H\u00c4LT WINTERSCHLAF<\/strong><\/em><\/span><br \/>\n<span style=\"color: #808080\"><em>(<strong>The hedgehog hibernates<\/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 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-5 * {\n                box-sizing: border-box;\n            }\n\n            #ays-quiz-container-5 [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-5 #ays_finish_quiz_5 {\n                \n            }\n\n            \/* Styles for Quiz container *\/\n            #ays-quiz-container-5{\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-5 #ays_finish_quiz_5 div.step {\n                min-height: 450px;\n            }\n\n            \/* Styles for text inside quiz container *\/\n            #ays-quiz-container-5 .ays-start-page *:not(input):not([class^='enlighter']),\n            #ays-quiz-container-5 .ays_question_hint,\n            #ays-quiz-container-5 label[for^=\"ays-answer-\"],\n            #ays-quiz-container-5 #ays_finish_quiz_5 p,\n            #ays-quiz-container-5 #ays_finish_quiz_5 .ays-fs-title,\n            #ays-quiz-container-5 .ays-fs-subtitle,\n            #ays-quiz-container-5 .logged_in_message,\n            #ays-quiz-container-5 .ays_score_message,\n            #ays-quiz-container-5 .ays_message{\n               color: #000000;\n               outline: none;\n            }\n\n            div#ays-quiz-container-5 .ays_question_hint.ays-quiz-keyboard-active,\n            div#ays-quiz-container-5 .ays_restart_button.ays-quiz-keyboard-active {\n                outline: revert;\n            }\n\n            #ays-quiz-container-5 .ays-quiz-password-message-box,\n            #ays-quiz-container-5 .ays-quiz-question-note-message-box,\n            #ays-quiz-container-5 .ays_quiz_question,\n            #ays-quiz-container-5 .ays-quiz-question-category-box,\n            #ays-quiz-container-5 .ays_quiz_question *:not([class^='enlighter']) {\n                color: #000000;\n            }\n\n            #ays-quiz-container-5 .ays-quiz-question-category-box em {\n                color: #000000;\n            }\n\n            #ays-quiz-container-5 textarea,\n            #ays-quiz-container-5 input::first-letter,\n            #ays-quiz-container-5 select::first-letter,\n            #ays-quiz-container-5 option::first-letter {\n                color: initial !important;\n            }\n            \n            #ays-quiz-container-5 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-5 .select2-container,\n            #ays-quiz-container-5 .ays-field * {\n                font-size: 16px !important;\n            }\n    \n            #ays-quiz-container-5 .ays_quiz_question p {\n                font-size: 16px;\n                text-align: inherit;\n            }\n\n            #ays-quiz-container-5 .ays-fs-subtitle p {\n                text-align:  center ;\n            }\n\n            #ays-quiz-container-5 .ays_quiz_question {\n                text-align:  center ;\n                margin-bottom: 10px;\n            }\n\n            #ays-quiz-container-5 .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-5 .ays_quiz_question img {\n                float: unset;\n                margin: 0;\n            }\n            \/* Mango theme (Version: 1.4.202301041836) | End *\/\n\n            #ays-quiz-container-5 .ays-quiz-timer p {\n                font-size: 16px;\n            }\n\n            #ays-quiz-container-5 section.ays_quiz_redirection_timer_container hr,\n            #ays-quiz-container-5 section.ays_quiz_timer_container hr {\n                margin: 0;\n            }\n\n            #ays-quiz-container-5 section.ays_quiz_timer_container.ays_quiz_timer_red_warning .ays-quiz-timer {\n                color: #ff0000;\n            }\n\n            #ays-quiz-container-5 .ays_thank_you_fs p {\n                text-align: center;\n            }\n\n            #ays-quiz-container-5 .ays_quiz_results_page .ays_score span {\n                visibility: visible;\n            }\n\n            #ays-quiz-container-5 input[type='button'],\n            #ays-quiz-container-5 input[type='submit'] {\n                color: #ffffff !important;\n            }\n\n            #ays-quiz-container-5 input[type='button']{\n                outline: none;\n            }\n\n            #ays-quiz-container-5 .information_form input[type='text'],\n            #ays-quiz-container-5 .information_form input[type='url'],\n            #ays-quiz-container-5 .information_form input[type='number'],\n            #ays-quiz-container-5 .information_form input[type='email'],\n            #ays-quiz-container-5 .information_form input[type='checkbox'],\n            #ays-quiz-container-5 .information_form input[type='tel'],\n            #ays-quiz-container-5 .information_form textarea,\n            #ays-quiz-container-5 .information_form select,\n            #ays-quiz-container-5 .information_form option {\n                color: initial !important;\n                outline: none;\n                background-image: unset;\n            }\n\n            #ays-quiz-container-5 .wrong_answer_text{\n                color:#ff4d4d;\n            }\n            #ays-quiz-container-5 .right_answer_text{\n                color:#33cc33;\n            }\n\n            #ays-quiz-container-5 .wrong_answer_text p {\n                font-size:16px;\n            }\n\n            #ays-quiz-container-5 .ays_questtion_explanation p {\n                font-size:16px;\n            }\n\n            #ays-quiz-container-5 .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-5 .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-5 .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-5 .right_answer_text p {\n                font-size:16px;\n            }\n\n            #ays-quiz-container-5 .ays-quiz-question-note-message-box p {\n                font-size:14px;\n            }\n\n            #ays-quiz-container-5 .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-5 .ays_cb_and_a,\n            #ays-quiz-container-5 .ays_cb_and_a * {\n                color: rgb(0,0,0);\n                text-align: center;\n            }\n\n            \/* Quiz textarea height *\/\n            #ays-quiz-container-5 textarea {\n                height: 100px;\n                min-height: 100px;\n            }\n\n            \/* Quiz rate and passed users count *\/\n            #ays-quiz-container-5 .ays_quizn_ancnoxneri_qanak,\n            #ays-quiz-container-5 .ays_quiz_rete_avg {\n                color:#ffffff !important;\n                background-color:#000000;   \n            }\n\n            #ays-quiz-container-5 .ays-questions-container > .ays_quizn_ancnoxneri_qanak {\n                padding: 5px 20px;\n            }\n            #ays-quiz-container-5 div.for_quiz_rate.ui.star.rating .icon {\n                color: rgba(0,0,0,0.35);\n            }\n            #ays-quiz-container-5 .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-5 .ays_quiz_rete .ays-quiz-rate-link-box .ays-quiz-rate-link {\n                color: #000000;\n            }\n\n            \/* Loaders *\/            \n            #ays-quiz-container-5 div.lds-spinner,\n            #ays-quiz-container-5 div.lds-spinner2 {\n                color: #000000;\n            }\n            #ays-quiz-container-5 div.lds-spinner div:after,\n            #ays-quiz-container-5 div.lds-spinner2 div:after {\n                background-color: #000000;\n            }\n            #ays-quiz-container-5 .lds-circle,\n            #ays-quiz-container-5 .lds-facebook div,\n            #ays-quiz-container-5 .lds-ellipsis div{\n                background: #000000;\n            }\n            #ays-quiz-container-5 .lds-ripple div{\n                border-color: #000000;\n            }\n            #ays-quiz-container-5 .lds-dual-ring::after,\n            #ays-quiz-container-5 .lds-hourglass::after{\n                border-color: #000000 transparent #000000 transparent;\n            }\n\n            \/* Stars *\/\n            #ays-quiz-container-5 .ui.rating .icon,\n            #ays-quiz-container-5 .ui.rating .icon:before {\n                font-family: Rating !important;\n            }\n\n            \/* Progress bars *\/\n            #ays-quiz-container-5 #ays_finish_quiz_5 .ays-progress {\n                border-color: rgba(0,0,0,0.8);\n            }\n            #ays-quiz-container-5 #ays_finish_quiz_5 .ays-progress-bg {\n                background-color: rgba(0,0,0,0.3);\n            }\n            #ays-quiz-container-5 . {\n                background-color: #5d6cf9;\n            }\n            #ays-quiz-container-5 . {\n                background-color: #000000;\n            }    \n            #ays-quiz-container-5 .ays-progress-value {\n                color: #000000;\n                text-align: center;\n            }\n            #ays-quiz-container-5 .ays-progress-bar {\n                background-color: #5d6cf9;\n            }\n            #ays-quiz-container-5 .ays-question-counter .ays-live-bar-wrap {\n                direction:ltr !important;\n            }\n            #ays-quiz-container-5 .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-5 .ays-live-bar-fill.ays-live-fourth,\n            #ays-quiz-container-5 .ays-live-bar-fill.ays-live-third,\n            #ays-quiz-container-5 .ays-live-bar-fill.ays-live-second {\n                text-shadow: unset;\n            }\n            #ays-quiz-container-5 .ays-live-bar-percent{\n                display:none;\n            }\n            #ays-quiz-container-5 #ays_finish_quiz_5 .ays_average {\n                text-align: center;\n            }\n            \n            \/* Music, Sound *\/\n            #ays-quiz-container-5 .ays_music_sound {\n                color:rgb(0,0,0);\n            }\n\n            \/* Dropdown questions scroll bar *\/\n            #ays-quiz-container-5 blockquote {\n                border-left-color: #000000 !important;                                      \n            }\n\n            \/* Quiz Password *\/\n            #ays-quiz-container-5 .ays-start-page > input[id^='ays_quiz_password_val_'],\n            #ays-quiz-container-5 .ays-quiz-password-toggle-visibility-box {\n                width: 100%;\n            }\n\n\n            \/* Question hint *\/\n            #ays-quiz-container-5 .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-5 .ays_question_hint_container .ays_question_hint_text p {\n                max-width: unset;\n            }\n\n            #ays-quiz-container-5 .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-5 .ays_questions_hint_max_width_class {\n                max-width: 80%;\n            }\n\n            \/* Information form *\/\n            #ays-quiz-container-5 .ays-form-title{\n                color:rgb(0,0,0);\n            }\n\n            \/* Quiz timer *\/\n            #ays-quiz-container-5 div.ays-quiz-redirection-timer,\n            #ays-quiz-container-5 div.ays-quiz-timer{\n                color: #000000;\n                text-align: center;\n            }\n\n            #ays-quiz-container-5 div.ays-quiz-timer.ays-quiz-message-before-timer:before {\n                font-weight: 500;\n            }\n\n            \/* Quiz title \/ transformation *\/\n            #ays-quiz-container-5 .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-5 .ays_arrow {\n                color:#ffffff!important;\n            }\n            #ays-quiz-container-5 input#ays-submit,\n            #ays-quiz-container-5 #ays_finish_quiz_5 .action-button,\n            div#ays-quiz-container-5 #ays_finish_quiz_5 .action-button.ays_restart_button,\n            #ays-quiz-container-5 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn,\n            #ays-quiz-container-5 .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-5 input#ays-submit,\n            #ays-quiz-container-5 #ays_finish_quiz_5 input.action-button,\n            #ays-quiz-container-5 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn,\n            #ays-quiz-container-5 .ays-quiz-category-selective-submit-bttn {\n                \n            }\n\n            #ays-quiz-container-5 #ays_finish_quiz_5 .action-button.ays_check_answer {\n                padding: 5px 10px;\n                font-size: 18px !important;\n            }\n            #ays-quiz-container-5 #ays_finish_quiz_5 .action-button.ays_restart_button {\n                white-space: nowrap;\n                padding: 5px 10px;\n                white-space: normal;\n            }\n            #ays-quiz-container-5 input#ays-submit:hover,\n            #ays-quiz-container-5 input#ays-submit:focus,\n            #ays-quiz-container-5 #ays_finish_quiz_5 .action-button:hover,\n            #ays-quiz-container-5 #ays_finish_quiz_5 .action-button:focus,\n            #ays-quiz-container-5 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn:hover,\n            #ays-quiz-container-5 .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-5 .ays_restart_button {\n                color: #ffffff;\n            }\n            \n            #ays-quiz-container-5 .ays_restart_button_p,\n            #ays-quiz-container-5 .ays_buttons_div {\n                justify-content: center;\n            }\n\n            #ays-quiz-container-5 .ays_finish.action-button{\n                margin: 10px 5px;\n            }\n\n            #ays-quiz-container-5 .ays-share-btn.ays-share-btn-branded {\n                color: #fff;\n                display: inline-block;\n            }\n\n            #ays-quiz-container-5 .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-5 .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-5 .ays_quiz_question_text_message{\n                color: #000000;\n                text-align: left;\n                font-size: 12px;\n            }\n\n            div#ays-quiz-container-5 div.ays_quiz_question_text_error_message {\n                color: #ff0000;\n            }\n\n            \/* Questions answer image *\/\n            #ays-quiz-container-5 .ays-answer-image {\n                width:15em;\n                height:150px;\n                object-fit: cover;\n            }\n            \n            #ays-quiz-container-5 .ays-quiz-answers .ays-field:hover:not(.ays-answered-text-input){\n                opacity: 1;\n            }\n            #ays-quiz-container-5 #ays_finish_quiz_5 .ays-field label.ays_answer_caption[for^='ays-answer-'] {\n                z-index: 1;\n                position:initial;bottom:0;}\n            #ays-quiz-container-5 #ays_finish_quiz_5 .ays-field input~label[for^='ays-answer-'] {\n                padding: 5px;\n            }\n\n            #ays-quiz-container-5 #ays_finish_quiz_5 .ays-field {\n                margin-bottom: 12px;\n            }\n            #ays-quiz-container-5 #ays_finish_quiz_5 .ays-field.ays_grid_view_item {\n                width: calc(50% - 6px);\n            }\n            #ays-quiz-container-5 #ays_finish_quiz_5 .ays-field.ays_grid_view_item:nth-child(odd) {\n                margin-right: 6px;\n            }\n            \n            #ays-quiz-container-5 #ays_finish_quiz_5 .ays-field input:checked+label:before {\n                border-color: #5d6cf9;\n                background: #5d6cf9;\n                background-clip: content-box;\n            }\n            #ays-quiz-container-5 .ays-quiz-answers div.ays-text-right-answer {\n                color: #000000;\n            }\n                        \n            \/* Questions answer right\/wrong icons *\/\n            #ays-quiz-container-5 .ays-field input~label.answered.correct:after{\n                content: '';          }\n            #ays-quiz-container-5 .ays-field input~label.answered.wrong:after{\n                content: '';\n            }\n            #ays-quiz-container-5 .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-5 #ays_finish_quiz_5 .ays-field .select2-container--default .select2-selection--single {\n                border-bottom: 2px solid #5d6cf9;\n                background-color: #5d6cf9;\n            }\n            \n            #ays-quiz-container-5 .ays-field .select2-container--default .select2-selection--single .select2-selection__placeholder,\n            #ays-quiz-container-5 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered,\n            #ays-quiz-container-5 .ays-field .select2-container--default .select2-selection--single .select2-selection__arrow {\n                color: #ffffff;\n            }\n\n            #ays-quiz-container-5 .select2-container--default .select2-search--dropdown .select2-search__field:focus,\n            #ays-quiz-container-5 .select2-container--default .select2-search--dropdown .select2-search__field {\n                outline: unset;\n                padding: 0.75rem;\n            }\n\n            #ays-quiz-container-5 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered,\n            #ays-quiz-container-5 .select2-container--default .select2-results__option--highlighted[aria-selected] {\n                background-color: #5d6cf9;\n            }\n\n            #ays-quiz-container-5 .ays-field .select2-container--default,\n            #ays-quiz-container-5 .ays-field .select2-container--default .selection,\n            #ays-quiz-container-5 .ays-field .select2-container--default .dropdown-wrapper,\n            #ays-quiz-container-5 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered,\n            #ays-quiz-container-5 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered .select2-selection__placeholder,\n            #ays-quiz-container-5 .ays-field .select2-container--default .select2-selection--single .select2-selection__arrow,\n            #ays-quiz-container-5 .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-5 .select2-container--default .select2-results__option {\n                padding: 6px;\n            }\n            \n            \/* Dropdown questions scroll bar *\/\n            #ays-quiz-container-5 .select2-results__options::-webkit-scrollbar {\n                width: 7px;\n            }\n            #ays-quiz-container-5 .select2-results__options::-webkit-scrollbar-track {\n                background-color: rgba(255,255,255,0.35);\n            }\n            #ays-quiz-container-5 .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-5 .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-5 .mejs-container .mejs-time{\n                box-sizing: unset;\n            }\n            #ays-quiz-container-5 .mejs-container .mejs-time-rail {\n                padding-top: 15px;\n            }\n\n            #ays-quiz-container-5 .mejs-container .mejs-mediaelement video {\n                margin: 0;\n            }\n\n            \/* Limitation *\/\n            #ays-quiz-container-5 .ays-quiz-limitation-count-of-takers {\n                padding: 50px;\n            }\n\n            #ays-quiz-container-5 div.ays-quiz-results-toggle-block span.ays-show-res-toggle.ays-res-toggle-show,\n            #ays-quiz-container-5 div.ays-quiz-results-toggle-block span.ays-show-res-toggle.ays-res-toggle-hide{\n                color: #000000;\n            }\n\n            #ays-quiz-container-5 div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle {\n                border: 1px solid #000000;\n            }\n\n            #ays-quiz-container-5 div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle {\n                border: 1px solid #000000;\n            }\n\n            #ays-quiz-container-5 div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle:after{\n                background: #000000;\n            }\n\n            #ays-quiz-container-5.ays_quiz_elegant_dark div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle:after,\n            #ays-quiz-container-5.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-5 .mejs-container .mejs-inner .mejs-controls .mejs-button > button:hover,\n            #ays-quiz-container-5 .mejs-container .mejs-inner .mejs-controls .mejs-button > button {\n                box-shadow: unset;\n                background-color: transparent;\n            }\n            #ays-quiz-container-5 .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-5 label[for^='ays-answer']:before,\n            #ays-quiz-container-5 label[for^='ays-answer']:before {\n                -webkit-mask-image: unset;\n                mask-image: unset;\n            }\n\n            #ays-quiz-container-5.ays_quiz_classic_light .ays-field input:checked+label.answered.correct:before,\n            #ays-quiz-container-5.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-5 .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-5.ays_quiz_classic_dark .correct_div,\n            #ays-quiz-container-5.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-5.ays_quiz_classic_dark .correct_div .selected-field,\n            #ays-quiz-container-5.ays_quiz_classic_light .correct_div .selected-field {\n                padding: 0px 10px 0px 10px;\n                color: green !important;\n            }\n\n            #ays-quiz-container-5.ays_quiz_classic_dark .wrong_div,\n            #ays-quiz-container-5.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-5.ays_quiz_classic_dark .ays-field.checked_answer_div.wrong_div input:checked~label,\n            #ays-quiz-container-5.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-5.ays_quiz_classic_dark .ays-field,\n            #ays-quiz-container-5.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-5 .ays-quiz-close-full-screen {\n                fill: #000000;\n            }\n\n            #ays-quiz-container-5 .ays-quiz-open-full-screen {\n                fill: #000000;\n            }\n\n            #ays-quiz-container-5 .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-5 .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-5 .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-5 .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-5 .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-5 .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-5 .ays-close-reports-window img {\n                box-shadow: unset;\n            }\n            \n            #ays-quiz-question-report-modal-5 .ays-quiz-preloader img {\n                box-shadow: unset;\n            }\n\n            #ays-quiz-question-report-modal-5 .ays-close-reports-window img:hover,\n            #ays-quiz-question-report-modal-5 .ays-close-reports-window img:focus {\n                cursor: pointer;\n            }\n\n            #ays-quiz-question-report-modal-5 .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-5 .ays-quiz-question-report-textarea-label,\n            #ays-quiz-question-report-modal-5 .ays-quiz-question-report-title {\n                text-align: left;\n            }\n\n            #ays-quiz-question-report-modal-5 .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-5 .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-5{\n                    max-width: 100%;\n                }\n\n                div#ays-quiz-container-5 [id^='ays_finish_quiz_'] div.step div.ays-abs-fs {\n                    width: 90%;\n                }\n\n                #ays-quiz-container-5 .ays_quiz_question p {\n                    font-size: 16px;\n                }\n\n                #ays-quiz-container-5 .select2-container,\n                #ays-quiz-container-5 .ays-field * {\n                    font-size: 15px !important;\n                }\n\n                div#ays-quiz-container-5 input#ays-submit,\n                div#ays-quiz-container-5 #ays_finish_quiz_5 .action-button,\n                div#ays-quiz-container-5 #ays_finish_quiz_5 .action-button.ays_restart_button,\n                #ays-quiz-container-5 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn,\n                #ays-quiz-container-5 .ays-quiz-category-selective-submit-bttn {\n                    font-size: 18px;\n                }\n\n                \/* Quiz title \/ mobile font size *\/\n                div#ays-quiz-container-5 .ays-fs-title {\n                    font-size: 20px;\n                }\n\n                \/* Question explanation \/ mobile font size *\/\n                #ays-quiz-container-5 .ays_questtion_explanation p {\n                    font-size:16px;\n                }\n\n                \/* Wrong answers \/ mobile font size *\/\n                #ays-quiz-container-5 .wrong_answer_text p {\n                    font-size:16px;\n                }\n\n                \/* Right answers \/ mobile font size *\/\n                #ays-quiz-container-5 .right_answer_text p {\n                    font-size:16px;\n                }\n\n                \/* Note text \/ mobile font size *\/\n                #ays-quiz-container-5 .ays-quiz-question-note-message-box p {\n                    font-size:14px;\n                }\n\n                div#ays-quiz-container-5 .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-5 .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-5 .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-5 .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-5 p {\n                    margin: 0.625em;\n                }\n                \n                #ays-quiz-container-5 .ays-field.checked_answer_div input:checked~label {\n                    background-color: rgba(93,108,249,0.6);\n                }\n\n                #ays-quiz-container-5.ays_quiz_classic_light  .ays_quiz_results .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-5.ays_quiz_classic_dark  .ays_quiz_results .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-5.ays_quiz_classic_light  .enable_correction .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-5.ays_quiz_classic_dark  .enable_correction .ays-field.checked_answer_div input:checked~label {\n                    background-color: transparent;\n                }\n\n                #ays-quiz-container-5.ays_quiz_classic_light  .ays_quiz_results .not_influence_to_score .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-5.ays_quiz_classic_dark  .ays_quiz_results .not_influence_to_score .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-5.ays_quiz_classic_light  .enable_correction .not_influence_to_score .ays-field.checked_answer_div input:checked~label,\n                #ays-quiz-container-5.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-5 .ays-field.checked_answer_div input:checked~label:hover {\n                    background-color: rgba(93,108,249,0.8);\n                }\n\n                #ays-quiz-container-5.ays-quiz-container.ays_quiz_classic_light .ays-questions-container .ays-field:hover label[for^='ays-answer-'],\n                #ays-quiz-container-5 .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-5 #ays_finish_quiz_5 .action-button:hover,\n                #ays-quiz-container-5 #ays_finish_quiz_5 .action-button:focus,\n                #ays-quiz-container-5 + .ays-quiz-category-selective-main-container .ays-quiz-category-selective-restart-bttn:hover,\n                #ays-quiz-container-5 .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['5']  = '{"quiz_version":"6.6.6.0","core_version":"6.6.2","php_version":"7.4.33","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 2024 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":"2024-12-20 07:32:48","deactiveInterval":"2024-12-20 07:32:48","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","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,"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_answers_caption":"on","quiz_enable_keyboard_navigation":"on","show_quiz_image":"on","quiz_enable_whatsapp_share_button":"off","submit_redirect_after":"","rw_answers_sounds":false,"id":"5","title":"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\/2024\/11\/2_Advent_2024-1024x576.png","quiz_category_id":"5","question_ids":"8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,40,42,44,46,48,50,52,54,56","ordering":"5","published":"1","intervals":null,"quiz_url":"","custom_post_id":null,"author_id":"0","quiz_animation_top":100,"quiz_enable_animation_top":"on"}';\n        <\/script>\n                    <input type='hidden' name='quiz_id' value='5'\/>\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_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_column_text css=&#8221;&#8221;]One Math Kangaroo Question a day makes you smarter they say! Our German Kangaroo friends have shared this delightful Math Advent Calendar\u2014a collection of pre-Christmas puzzles in Kangaroo style.[\/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;] 2024&nbsp;<a href=\"https:\/\/mathkangaroo.org\/mks\/2024-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-38218","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\/38218","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=38218"}],"version-history":[{"count":0,"href":"https:\/\/mathkangaroo.org\/mks\/wp-json\/wp\/v2\/pages\/38218\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathkangaroo.org\/mks\/wp-json\/wp\/v2\/media?parent=38218"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}