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Quiz

Kangaroo 2020 – PreEcolier (grades 2 and 3)

24 problems from the international Kangaroo mathematics competition (19 March 2020), PreEcolier category, for grades 2 and 3. The solutions are shown after checking.

Choose one of the five answers for each problem. Problems 1–8 are worth 3 points, 9–16 4 points and 17–24 5 points. A wrong answer loses a quarter of the problem’s points and no answer scores 0. You start with 24 points; the maximum is 120. In the competition the time is 75 minutes. When you finish, click Check answers.

1. While the kangaroo jumps 3 steps up, the rabbit jumps 2 steps down. On which step do they meet? (3 points)Figure for problem 1

2. Maria took a selfie in front of the castle in the picture. Which photo did she take? (3 points)Figure for problem 2

3. Maria put the 4 puzzle pieces (right) together to make a picture of the bird. How did she arrange them? (3 points)Figure for problem 3

4. A magician pulls toys out of his hat in an order that repeats every 5 toys (picture). Which two toys come next? (3 points)Figure for problem 4

5. Mark has two cards of the same size. The left card (A) has holes. He puts it exactly on top of the right card (B). What does he see? (3 points)Figure for problem 5

6. Maria built a box from white cubes and 14 blue cubes (picture). How many blue cubes can’t be seen? (3 points)Figure for problem 6

7. Ann drew a picture with 3 black triangles and fewer than 4 squares. Which is her picture? (3 points)Figure for problem 7

8. The plait in the picture is made of three strings: green, blue and red. Which is true? (3 points)Figure for problem 8

9. One piece is missing from the puzzle in the picture. Which one? (4 points)Figure for problem 9

10. A village with 12 houses has 4 straight and 4 circular streets (picture). 11 houses are drawn. Each straight and each circular street must have 3 houses. Where is the 12th house? (4 points)Figure for problem 10

11. Five shapes are made of glued cubes. Which one uses the most cubes? (4 points)

12. A number is written on every petal of the two flowers; one number is hidden. Both flowers have the same total. Which number is hidden? (4 points)Figure for problem 12

13. In which picture is the largest part of the square green? (4 points)

14. Maria wants to write 1, 2, 3, 4, 5 and 6 in the six squares (picture). The blue squares must add up to 10 and the yellow squares to 10. Which number goes in the question mark? (4 points)Figure for problem 14

15. The card (picture) lies on a table. We flip it over its top edge, then over its left edge. What do we see now? (4 points)Figure for problem 15Figure for problem 15

16. Grandma baked 12 biscuits. She wants to share all of them equally among 5 grandchildren. What is the least number of extra biscuits she must bake? (4 points)

17. Tom has 9 cards with shapes (picture). He places them so that every row and column has one of each shape and one of each number (1, 2 and 3). Which card goes in the grey square? (5 points)Figure for problem 17Figure for problem 17

18. Two identical trains, each with 31 carriages, travel in opposite directions. When carriage 19 of one is opposite carriage 19 of the other, which carriage is opposite carriage 12? (5 points)Figure for problem 18

19. Maya the bee can only walk on grey cells. In how many ways can exactly two white cells be coloured grey so that Maya can get from A to B? (5 points)Figure for problem 19

20. In the picture an arrow from one person to another means the first is taller. For example, B is taller than A. Who is the shortest? (5 points)Figure for problem 20

21. A basket has some apples and 8 pears; every fruit is green or yellow. There are 3 more apples than green fruits, and 6 yellow pears. How many yellow apples are there? (5 points)

22. Maria wrote 1, 2, 3, 4 and 5 in the circles (picture) so that the row and the column have the same total. What can be in the question mark? (5 points)Figure for problem 22

23. Six different numbers from 1 to 9 are written on the faces of a cube (picture). Opposite faces always have the same total. Which number is opposite 5? (5 points)Figure for problem 23

24. Mark gives Maria as many sweets as she has. Then Maria gives Mark as many as he has left. Now each has 4. How many sweets did Mark have at the start? (5 points)