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Singapore Math Kangaroo 2015

1. 3 point problems

Which figure is not in each of four pictures?

2. How many triangles are there in the picture?

3. Find the missing part of the house.

4. Five ladybugs live on a bush. How many spots, in total, do the ladybugs have?

5. Eric had ten equal metal strips.

He screwed pairs of them together into five long strips as shown below.

Which strip is the shortest?

6. Which of the following pictures can be rotated so that it will coincide with the picture shown on the right?

7. What does the round tower look like from above?

8. What is the sum of the numbers outside the square?

9. 4 point problems

It takes half an hour for Jenny to go half of the way from school to home. How long does it take Jenny to go to school from home?

10. Don made two bricks by sticking cubes together as shown below.

Which structure could not be built using the two bricks?

11. Marko has 9 candies and Tomo has 17 candies. How many candies does Tomo need to give to Marko so that each boy will have the same number of candies?

12. Six towers are built with grey cubes and white cubes. Each tower is made with five cubes. Cubes of the same colors do not touch. How many white cubes are there?

13. Which piece is missing?

14. The date 5/5/2015 has three 5's. The earliest date that will have three 5's again is:

15. Mother ordered 2 pizzas and sliced each of them into 8 pieces for Vera's birthday. There were 14 children at the party including Vera. How many slices are left over if mother gives one slice to each child?


Put the numbers 1, 2, 3, 4, 5 in the boxes so that everything is correct.

Which number goes into the box marked with the question mark?

17. 5 point problems
There were 11 flags on a straight track of a race. The first one was at the start, the last one at the finish. The distance between each flag was 8 m. How long was the track?

18. Kanga can jump from one circle to the next only if they are connected by a line. She cannot jump into any circle more than once. Kanga starts from circle S and makes exactly 4 jumps to get to circle F. In how many different ways can Kanga do this?

19. A ship was attacked by pirates. One by one they were climbing a rope to get to the ship. The pirate captain was in the middle and he was also the eighth one from the beginning. How many pirates were on the rope?

20. During 3 days Joy the cat was catching mice. Each day, Joy caught 2 mice more than the previous day. On the third day, Joy caught twice as many mice as on the first day. In total, how many mice did Joy catch during the three days?

21. Rick and Tom were building an igloo. Each hour Rick made 8 snow bricks and Tom made two bricks less. How many bricks did they make together in three hours?

22. Nick built a cube using gray and white cubes (see fig.). The cubes with the same color do not have a common face. Which statement describes the number of used cubes?

23. We left for a summer camp yesterday at 4:32 PM and got to our destination today at 6:11 AM. For how long did we travel?

24. The numbers 3, 5, 7, 8 and 9 were written into the squares so that the sum of the numbers in the row is equal to the sum of the numbers in the column. Which number was written in the centre square?