One Math Kangaroo Question a day makes you smarter they say! Our German Kangaroo friends have shared this delightful Math Advent Calendar—a collection of pre-Christmas puzzles in Kangaroo style.

2024 Math Kangaroo Advent Calendar Mini

✨ The Mini Calendar is designed for children in Grades 1 to 3, offering fun and engaging puzzles.

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Grades 1-3

Days 1-15

Let the countdown to Christmas be both festive and educational! 🎄🦘

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Category: 2024 Math Kangaroo Advent Calendar Mini

1.

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.

Nele tells:
“From 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’s lodge. We found 4 animals in each enclosure. We only didn’t see donkeys.”
How many animals did the children see on the way to the forester’s lodge?

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Category: 2024 Math Kangaroo Advent Calendar Mini

2.

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.

Jan cuts out 7 round dots. Nele and Paula each cut out 5 dots. Tim cuts out 3 dots.
How many dots do the 4 friends cut out for the ladybirds in total?

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Category: 2024 Math Kangaroo Advent Calendar Mini

3.

“Have you noticed that there are 5 dogs in our street lately?” asks Paula. “Yes, and since yesterday they’ve all been running around with jumpers with dots
or checks or stripes,” says Jan. Nele thinks: “The Klein family’s dog has a particularly nice jumper, even with a hood.” “But without stripes,” Tim adds.
What is the Klein family dog?

 

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Category: 2024 Math Kangaroo Advent Calendar Mini

4.

Tim, Jan, Nele and Paula’s class is rehearsing a play for the school Christmas party. Tim’s mother has sewn lovely animal costumes for it.
At the end of each rehearsal there is a riddle to solve. And every time there is an animal in it!
Today 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.

How often does the word HASE occur in total?

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Category: 2024 Math Kangaroo Advent Calendar Mini

5.

The wild boars in the zoo gave birth last spring. “Soon the wild boars will get a bigger enclosure,” Jan tells us. “My grandma told me that too,” Nele says, “it will be twice as long and twice as wide as the old one.”

“How much bigger is the area then?” Tim wants to know.
“Let’s try it out,” suggests Paula. “We’ll draw a picture of the little enclosure on some paper and then we’ll double the length and the width. Let’s see if we can
work it out like that.”

How many times does the old enclosure fit into the new enclosure?

 

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Category: 2024 Math Kangaroo Advent Calendar Mini

6.

It’s St Nicholas’ Day. Nele, Jan, Tim and Paula have little presents in their cleaned boots. They have all received chocolate animals.

They compare how many of each type there are in total.
• There are fewer hedgehogs than reindeer.
• The reindeer and the owls together are as many as the rabbits.
• There are fewer squirrels than owls.
Of which type are there the most chocolate animals in total?

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Category: 2024 Math Kangaroo Advent Calendar Mini

7.

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.

“I know who got the most votes,” Paula says happily. “Of course, the beaver,” says Jan, “he has the most votes in all four classes.” “And which animal got
the fewest votes overall?,” asks Tim. “No animal got the fewest votes in all four classes,” Nele says. She has an idea: “For each animal, we calculate the sum of
the votes it got. And then we can compare.”
Which animal got the fewest votes in total?

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Category: 2024 Math Kangaroo Advent Calendar Mini

8.

Tim, Jan, Paula and Nele baked biscuits together with Jan’s big brother. After baking, they taste them. Everyone takes a plate full.
On Nele’s plate there are twice as many kangaroos as hedgehogs and one more rabbit than kangaroos.
Which plate is Nele’s?

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Category: 2024 Math Kangaroo Advent Calendar Mini

9.

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:
• the button 👆 means ‘go one field forward’
• the button 👇 means ‘go one field backwards’
• the button 👉 means ‘turn on the spot to the right’
• the button 👈 means ‘turn on the spot to the left’

Jan is controlling the dog robot.
He presses the sequence of buttons:👆👆👈👆👆👈👆 .
What is on the field where the dog robot is then standing?

10 / 15

Category: 2024 Math Kangaroo Advent Calendar Mini

10.

“Were you at your uncle’s this weekend?” asks Nele.
“Yes,” Paula answers, “I found a book about parrots at his place. I drew five parrots from it.”
“Show me,” asks Jan.
“I even gave them names, Jojo, Bibi, Neo, Kiri and Micki,” says Paula and shows her drawings.
“Which one is Jojo?” asks Tim.
“Jojo only has red and blue feathers and a dark beak,” Paula explains.
Which parrot did Paula call Jojo?

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Category: 2024 Math Kangaroo Advent Calendar Mini

11.

Paula, Nele, Jan and Tim visit a beekeeper.
This year her bees have produced a lot of honey.
She shows the children a fragment of a honeycomb:

“The honeycombs are hexagonal,” Nele notices.
A part is missing in the middle of the fragment.
Which part fits into the gap?

12 / 15

Category: 2024 Math Kangaroo Advent Calendar Mini

12.

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.
“The necklace should be as long as possible, always alternating between 2 mussels and 3 snails,” Nele asks.
“There should be 2 mussels at the beginning and 2 at the end,” says Jan.
Paula wants all the mussels and snails that are left over for crafting.
Tim makes the necklace as Nele and Jan wish.

How many mussels and how many snails are left?

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Category: 2024 Math Kangaroo Advent Calendar Mini

13.

Jan found out what Paula wishes for her birthday: a stuffed cat. Now Tim, Nele and Jan pick out a stuffed cat for Paula.
Jan says: “The fur should be brown.”
Tim wishes: “But the paws should be white.”
Nele adds: “Yes, and the tip of the tail should be white and the fur should not be striped.”
Which stuffed cat fits all the wishes?

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Category: 2024 Math Kangaroo Advent Calendar Mini

14.

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.
Which picture is the reflection of the two dogs?

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Category: 2024 Math Kangaroo Advent Calendar Mini

15.

After school, Paula, Nele, Tim and Jan walk through a small park.
“Look, molehills,” says Paula.
“Yes, 4 of them,” Nele counts.

“I wonder if there is always a connecting tunnel from every hill to every other hill,” Tim thinks aloud.
How many tunnels would that be?

 

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2024 Math Kangaroo Advent Calendar Maxi

✨ The Maxi Calendar presents more challenging Christmas puzzles for children in Grades 4 to 6.

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Grades 4-6

Days 1-15

Let the countdown to Christmas be both festive and educational! 🎄🦘

1 / 15

Category: 2024 Math Kangaroo Advent Calendar Maxi

1.

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.

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
the waterfall they turn right. At the barn with the hay bales for the winter, they turn right again. At the forester’s lodge they take a break and look at the map.
“In all the animal enclosures we passed, we saw exactly 3 animals,” Eleonora notes. “Except for the donkeys,” says Coco, “they were all hiding.”
How many animals could we see on the way to the forester’s lodge?

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Category: 2024 Math Kangaroo Advent Calendar Maxi

2.

Marlene discovered ladybirds in a crack in the wall. Some had 2 points and the others had 7 points.
“The ladybirds were sitting close together, it looked like they were cuddling,” says Marlene. “This is how they protect themselves from the cold,” Marlene’s
mother explains. Marlene’s little brother Matteo wants to know how many points the ladybirds had in total.
“I didn’t count,” says Marlene. “But I remember that there were as many 2-point ladybirds as 7-point ladybirds.”
How many points could there have been in TOTAL?

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Category: 2024 Math Kangaroo Advent Calendar Maxi

3.

Sebastian goes for a walk with his 5 young dachshunds. All of them are wearing a thick jumper to keep them nice and warm.
Jack’s jumper is not plain.
Einstein’s jumper even has more than 2 colours.
Daisy’s jumper is striped.
Maggie’s jumper has ducks on it.
Kalle’s jumper is plain orange.
Which of these dachshunds is Jack?

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Category: 2024 Math Kangaroo Advent Calendar Maxi

4.

After playing outside, Hannah and Jonas drink a cup of warm tea in the kitchen.
On the kitchen table they discover a puzzle in a magazine:

 

 

 

 

 

 

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.
Which of the following animals CANNOT be found like this?

5 / 15

Category: 2024 Math Kangaroo Advent Calendar Maxi

5.

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.


How many meters longer is the new fence than the old one?

 

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Category: 2024 Math Kangaroo Advent Calendar Maxi

6.

Today, on St Nicholas’ 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
animal was hidden in each boot. When Aunt Birgit comes in the afternoon, the children ask her a riddle:
“In our boots were a kangaroo, a beaver, a frog and a hedgehog made of chocolate. You have to guess who got which animal.”

The children give three clues:

“Lisa got a beaver.”
“Tim didn’t get a frog.”
“Ella didn’t get a kangaroo.”

Aunt Birgit thinks and realizes: “I can’t solve the riddle like that. There are several possibilities.”
The children think of a fourth clue. Now Aunt Birgit can really find out who got which animal.
What could the fourth clue be?

 

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Category: 2024 Math Kangaroo Advent Calendar Maxi

7.

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.
In the secretary’s office there is a list of the votes that have been counted so far:

There are still 12 votes missing from class 4b.
The animal with the most votes at the end will be the school mascot. Which animal could that be?

8 / 15

Category: 2024 Math Kangaroo Advent Calendar Maxi

8.

Jule, Milan, Lara, Paul and Zo´e baked biscuits at Paul’s house. They found great animal biscuit cutters and baked kangaroos, hedgehogs and rabbits.
After baking, they realize:

One hedgehog weighs just as much as one rabbit.
One kangaroo weighs as much as two rabbits.
And now it’s time to taste! Everyone takes a plate of biscuits.
Jule has the most biscuits on her plate.
Milan has fewer biscuits on his plate than Jule, but they weigh the same as the biscuits on Jules’ plate.
Which plate is Milan’s?

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Category: 2024 Math Kangaroo Advent Calendar Maxi

9.

The dog robot Robbie is demonstrated in the Museum of Technology. He is steered through the course using a remote control with 4 buttons:

The museum guide explains: “Robbie doesn’t run into the obstacles. If you steer him towards an obstacle, he simply stops.”
Which of the sequences of buttons below will take Robbie to the bone?

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Category: 2024 Math Kangaroo Advent Calendar Maxi

10.

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.
Bavaria had more feathers bleached than Recka but less than Dagmar.
Wally and Herculis have no bleached feathers on their tails.
Which of the following pictures shows Bavaria?

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Category: 2024 Math Kangaroo Advent Calendar Maxi

11.

Antonia and Liam visit Liam’s aunt, who is a beekeeper. This year her bees have produced a lot of honey.
Antonia and Liam look at a fragment of a honeycomb:

“The honeycombs are hexagonal,” says Antonia. “And all of them are quite regular,” adds Liam. A piece is missing from the middle of the fragment.
Which piece fits into the gap?

 

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Category: 2024 Math Kangaroo Advent Calendar Maxi

12.

Frieda has discovered snails in a sheltered spot in the garden. “The snails hibernate there,” her mother explained to her. She learned how to draw snails
from 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.

Two paper squares have accidentally fallen down.
Which two squares complete the snail spiral?

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Category: 2024 Math Kangaroo Advent Calendar Maxi

13.

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.

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.
What is the lowest price Pina has to pay for 12 cans?

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Category: 2024 Math Kangaroo Advent Calendar Maxi

14.

In the cage of our two budgies, Amadeus and Krümel, I placed a large mirror diagonally in one corner.

If Amadeus looks in the mirror as in the picture, he sees Krümel and the food bowl. What could Amadeus see in the mirror?

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Category: 2024 Math Kangaroo Advent Calendar Maxi

15.

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.
Gregor looks out of one of the 4 molehills and Mila out of another.
How many different possibilities are there for this?

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