Math Kangaroo practice test, grades 3–4
10 free Math Kangaroo practice questions at Grades 3–4, with answers. 139 questions in the full bank, covering 12 topics.
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10 free practice questions
Pick an answer to check it. No account needed. These are past competition tasks — the answer is shown with its source paper.
- Question 1arithmetic
Denise fired a silver and a gold rocket at the same time. The rockets exploded into 20 stars in total. The gold rocket exploded into 6 more stars than the silver one. How many stars did the gold rocket explode into?
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Answer: D
Source: Math Kangaroo 2021 Level 3-4 Task 7
- Question 2combinatorics
Nisa has 3 different types of cards in a game: apple, cherry and grapes. She chooses 2 cards from the set and swaps their places. She wants to arrange the cards so that all the cards with the same fruit on are next to each other. For which set is this NOT possible?
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Answer: A
Source: Math Kangaroo 2021 Level 3-4 Task 9
- Question 3coordinate geometry
The 5 balls shown begin to move simultaneously in the directions indicated by their arrows. When two balls going in opposite directions collide, the bigger ball swallows the smaller one and increases its value by the value of the smaller ball. The bigger ball continues to move in its original direction, as shown in the following example. What is the final result of the collisions of the 5 balls shown?
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Answer: C
Source: Math Kangaroo 2021 Level 3-4 Task 12
- Question 4geometry
Larissa has a toy windmill that rotates in the wind (see picture on the right) and then stops. What does it look like now?
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Answer: B
Source: Math Kangaroo 2025 Level 3-4 Task 6
- Question 5logic
These five fruits are in a basket: [apple, blackberry, cherry, pear, banana]. Ann likes [cherry]. Ben likes [apple, blackberry, pear, banana]. Cam likes [cherry, banana]. Dan likes [cherry, banana]. Eli likes [blackberry, pear]. Each child takes one fruit that they like. Which fruit does Ben take?
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Answer: A
Source: Math Kangaroo 2024 Level 3-4 Task 10
- Question 6number theory
Mia has 3 cards with three-digit numbers on them. If she adds the three numbers together, she gets the number 782. Unfortunately, a worm has eaten one digit of each card. What number does she get when she adds up the three digits that the worm has eaten?
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Answer: D
Source: Math Kangaroo 2024 Level 3-4 Task 17
- Question 7ratios
Penguin Peter goes fishing every day and brings 9 fish for his two children. Every day he gives 5 fish to the first child he sees. The other child then gets 4 fish. In the last few days, a child has had a total of 26 fish. How many fish did the other child get?
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Answer: D
Source: Math Kangaroo 2024 Level 3-4 Task 12
- Question 8sequences
A mushroom grows up every day. For five days Maria took a picture of this mushroom, but she wrongly ordered the photos beside. What is the sequence of photos that correctly shows the mushroom growth, from left to right?
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Answer: A
Source: Math Kangaroo 2020 Level 3-4 Task 1
- Question 9solid geometry
A measuring tape is wrapped around a cylinder. Which number should be at the place shown by the question mark?
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Answer: C
Source: Math Kangaroo 2021 Level 3-4 Task 6
- Question 10statistics
The diagram shows four cars and . The arrows show where the cars move to in seconds. Which cars will crash into each other?
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Answer: D
Source: Math Kangaroo 2023 Level 3-4 Task 11
129 more questions at Grades 3–4
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Topics at this level
arithmetic · combinatorics · coordinate geometry · geometry · logic · number theory · ratios · sequences · solid geometry · statistics · unclassified · word problems