Cookie policy · You can change your choice at any time on the page „Cookies“.

Accessibility

Text size
Read aloud

Your browser reads the text with the voice it has for this language.

Accessibility statement
МК SQ TR
Quiz

Kangaroo 2020 – Ecolier (grades 4 and 5)

24 problems from the international Kangaroo mathematics competition (19 March 2020), Ecolier category, for grades 4 and 5. 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. A mushroom grows every day. Maria photographed it from Monday to Friday. Which photo was taken on Tuesday? (3 points)

2. One piece is missing from the puzzle in the picture. Which one? (3 points)Figure for problem 2

3. Mark coloured grey the squares whose expression equals 20. Which shape did he get? (3 points)Figure for problem 3

4. In which picture is the largest part of the square green? (3 points)

5. The six pieces in the picture can be used to make bigger pictures. Which one can be made with them? (3 points)Figure for problem 5

6. Maria drew a big square with numbers (picture). She starts on 1 and always jumps to the square whose number is 3 more. What is the largest number she can reach? (3 points)Figure for problem 6

7. Mark stuck the 6 stickers (picture) one on each face of a cube. On the right the cube is shown in two positions. Which sticker is opposite the duck? (3 points)Figure for problem 7Figure for problem 7

8. Mark has 7 stickers (picture). He covers the strip of 16 squares (second picture) with no overlaps and no sticker used twice. What is the largest number of stickers he can use? (3 points)Figure for problem 8Figure for problem 8

9. Maria coloured every region of the figure (picture) red, blue or yellow. Neighbouring regions have different colours and the outer ring is red. How many regions are red? (4 points)Figure for problem 9

10. Mark looks at the pyramid (picture) from above. What does he see? (4 points)Figure for problem 10

11. Mark tied his dog 1 m from a corner of a 7 m by 5 m rectangular fence (picture) with an 11 m rope. He put bones at A, B, C, D and E. How many bones can the dog reach? (4 points)Figure for problem 11

12. Mark builds a fence from 1 m planks. The picture shows a 4 m fence. How many planks does he need for a 10 m fence? (4 points)Figure for problem 12

13. Every time the kangaroo jumps 7 steps up, the rabbit jumps 3 steps down (from step 100). On which step do they meet? (4 points)Figure for problem 13

14. Three numbers add up to 50. Maria took the same secret number away from each and got 24, 13 and 7. Which of these is one of the starting numbers? (4 points)

15. Maria makes a crown from tiles like the first picture. When two tiles share a side, the numbers on that side match. Four tiles are already placed (second picture). Which number is in triangle X? (4 points)Figure for problem 15Figure for problem 15

16. Mark has short sticks (1 cm) and long sticks (3 cm). With which set can he make a square without breaking or overlapping them? (4 points)Figure for problem 16

17. On an ordinary dice opposite faces add up to 7. The dice is on the first square (picture) and rolls to the right to the last square. How many dots are on the three faces with question marks? (5 points)Figure for problem 17

18. 6 people each ordered one scoop: 3 vanilla, 2 chocolate and 1 lemon. On top went 3 cherries, 2 wafers and 1 chocolate cube, one on each, and no two ice creams are the same. Which combination is impossible? (5 points)Figure for problem 18

19. The queen wants to find out the name of Rumpelstiltskin’s wife. She asked: “Is your name Adel Lili Kleo?”, “Adel Laura Kora?”, “Abi Laura Kleo?” Each time exactly one name is right and in the right place. What is her name? (5 points)

20. The numbers 1 to 8 are on a board, covered by triangles, squares and a circle (picture). The four under the triangles add up to 10 and the three under the squares to 20. Which number is under the circle? (5 points)Figure for problem 20

21. Maria wants to colour a parrot’s head, wings and tail in three different colours: red, blue and green. She coloured one: red head, green wings, blue tail. How many more differently coloured parrots can she make? (5 points)Figure for problem 21

22. Teams of 5 or 6 came to a summer camp, 43 people in all. How many teams are there? (5 points)

23. Which key can NOT be cut into three different pieces of five grey squares each? (5 points)

24. Maria replaced the letters in KAN − ROO + GA with the numbers 1 to 9 (same letters same numbers, different letters different numbers). What is the largest possible result? (5 points)