2022 Kangaroo Math Ecolier Test

Q1. The bee wants to get to the flower . Each arrow indicates a move to one neighbouring square . Which path can the bee fly to get to the flower ?

3 points

Q2. For every birthday M aria gets as many teddies as she is years old on that day . For her first birthday she g ot 1 t eddy. For her second birthday she g ot 2 te ddie s and so on . How many teddies in total has Maria got on the day after her sixth birthday ?

3 points

Q3. One of the five coins A, B, C, D or E shall be placed in an empty square so that there are exactly two coins in each row and in each column . W hich coin should be moved ?

3 points

Q5. If a laser beam hits a mirror it changes its direction (see small diagram). Each mirror has mirrored sides on both sides. At which letter does the laser beam end ?

3 points

Q6. Kengu jumps on the number line to the right (see diagram) . He first makes one big jump and then two little jumps in a row and keeps repeating the same thing over and over again. He starts at 0 and ends at 16 . How many jumps does Kengu make in total ?

3 points

Q7. In the diagram on the right two neighbouring squares are never allowed to have the same number . W hich puzzle piece has to be placed in the gap so that this rule is followed ?

3 points

Q11. Mosif ha s filled a table with numbers (see diagram) . When he adds the numbers in each row and in each column together, the result should always be the same. He has however , made a mistake. In order to get the same result every time he has to change one single number . W hich number does Mosif have to change ?

4 points

Q12. 5 First the last car overtakes the two cars in front of it. Then the now second to last car overtakes the two in front of it . In the end the car that is now in the middle overtakes the two in front of it. In which order do the cars now drive ?

4 points

Q13. In a classroom the children sit in rows. I n each row there are the same amount of children. In Robert ‘ s row there are 2 children to the left of him and 3 children to the right of him. In front of Robert there are 2 rows, behind him just one . How many children in total are in this class ?

4 points

Q14. Johanna folds a piece of paper with the numbers 1 to 36 in half twice (see diagrams). Then she stabs a hole through all four layers at the same time (see diagram on the right). Which four numbers does she pierce in doing so ?

4 points

Q15. Three football teams are taking part in a tournament. Each team plays each other team once. For a win the team scores 3 points, the other team 0 points. For a draw both teams get 1 point each . Which number of points is impossible , for any team to reach at the end of this tournament ?

4 points

Q16. Jan sen d s five postcards to his friends during his holiday . The card for Michael does not have ducks . The card for Lex i shows a dog . The card for Clara shows the sun. The card for Heidi shows kangaroos . The card for Paul a shows exactly two animals . Which card does Jan send to M ichael ?

4 points

Q17. Wanda chooses some of the following shapes . She says : „I have chosen exactly 2 grey, 2 big and 2 round shapes .“ What is the minimum number of shapes Wanda has chosen ?

5 points

Q19. A p yramid is built from cubes (see diagram). All cubes have side length 10 cm. An ant crawls along the line drawn across the pyrami d (see diagram ). How long is the path taken by the ant ?

5 points

Q20. A road leads away from each of the six houses (see diagram). A hexagon showing the roads in the middle is however , missing. Which hexagons fit in the middle so that one can travel from A to B a nd to E, but not to D?

5 points

Q21. Ahmed a nd S ara move from point A in the direction shown with the same speed. Ahmed walks around the square garden and Sara walks around the rectangular garden . How many rounds does Ahmed have to walk to meet Sara in point A again for the first time ?

5 points

Q22. F ive girls eat plums . Laura eats 2 plums more than Sophie . Bettina eats 3 plums less than Laura. Clara eats one plum more than Bettina a nd 3 less than Alice. Which two of the girls eat the same amount of plums ?

5 points

Q23. The big cube is made up of three different kind s of building blocks (see diagram). How many of the little white cubes are needed for this big cube ?

5 points

Q24. Un d er cards with the same colour , the same number is always found. If the three hidden numbers in one row are added, one obtains the number to the right of the row. W hich number is hidden under the black card ?

5 points

2022 Ecolier (Grade 3 - 4)

Q1. The bee wants to get to the flower . Each arrow indicates a move to one neighbouring square . Which path can the bee fly to get to the flower ?

Q2. For every birthday M aria gets as many teddies as she is years old on that day . For her first birthday she g ot 1 t eddy. For her second birthday she g ot 2 te ddie s and so on . How many teddies in total has Maria got on the day after her sixth birthday ?

Q3. One of the five coins A, B, C, D or E shall be placed in an empty square so that there are exactly two coins in each row and in each column . W hich coin should be moved ?

Q4. W hich two numbers can be placed instead of the  in the calculation 2022 +  = 2020 +  so that it is correct ?

Q5. If a laser beam hits a mirror it changes its direction (see small diagram). Each mirror has mirrored sides on both sides. At which letter does the laser beam end ?

Q6. Kengu jumps on the number line to the right (see diagram) . He first makes one big jump and then two little jumps in a row and keeps repeating the same thing over and over again. He starts at 0 and ends at 16 . How many jumps does Kengu make in total ?

Q7. In the diagram on the right two neighbouring squares are never allowed to have the same number . W hich puzzle piece has to be placed in the gap so that this rule is followed ?

Q8. John uses some building blocks to form a work of art . W hat does John see when he looks at his work of art from above ?

Q9. F ive cars are labelled with the numbers 1 to 5. They drive in the direction of the arrow .

Q10. The members of a family of kangaroos are

Q12. 5 First the last car overtakes the two cars in front of it. Then the now second to last car overtakes the two in front of it . In the end the car that is now in the middle overtakes the two in front of it. In which order do the cars now drive ?

Q13. In a classroom the children sit in rows. I n each row there are the same amount of children. In Robert ‘ s row there are 2 children to the left of him and 3 children to the right of him. In front of Robert there are 2 rows, behind him just one . How many children in total are in this class ?

Q14. Johanna folds a piece of paper with the numbers 1 to 36 in half twice (see diagrams). Then she stabs a hole through all four layers at the same time (see diagram on the right). Which four numbers does she pierce in doing so ?

Q15. Three football teams are taking part in a tournament. Each team plays each other team once. For a win the team scores 3 points, the other team 0 points. For a draw both teams get 1 point each . Which number of points is impossible , for any team to reach at the end of this tournament ?

Q17. Wanda chooses some of the following shapes . She says : „I have chosen exactly 2 grey, 2 big and 2 round shapes .“ What is the minimum number of shapes Wanda has chosen ?

Q18. The little caterpillar roll s up to go to sleep. What could it look like then ?

Q19. A p yramid is built from cubes (see diagram). All cubes have side length 10 cm. An ant crawls along the line drawn across the pyrami d (see diagram ). How long is the path taken by the ant ?

Q20. A road leads away from each of the six houses (see diagram). A hexagon showing the roads in the middle is however , missing. Which hexagons fit in the middle so that one can travel from A to B a nd to E, but not to D?

Q21. Ahmed a nd S ara move from point A in the direction shown with the same speed. Ahmed walks around the square garden and Sara walks around the rectangular garden . How many rounds does Ahmed have to walk to meet Sara in point A again for the first time ?

Q22. F ive girls eat plums . Laura eats 2 plums more than Sophie . Bettina eats 3 plums less than Laura. Clara eats one plum more than Bettina a nd 3 less than Alice. Which two of the girls eat the same amount of plums ?

Q23. The big cube is made up of three different kind s of building blocks (see diagram). How many of the little white cubes are needed for this big cube ?

Q24. Un d er cards with the same colour , the same number is always found. If the three hidden numbers in one row are added, one obtains the number to the right of the row. W hich number is hidden under the black card ?