Math Kanagaroo 5/6 2017 (Sample questions)

A fly has 6 legs, a spider has 8 legs. Together, 3 flies and 2 spiders have as many legs as 9 chickens and several cats. How many cats are there?

• 2 cats

• 3 cats

• 4 cats

• 5 cats

• 6 cats

• A

• B

• C

• D

• E

Kalle knows that 1111 × 1111 = 1234321. What is the answer of 1111 × 2222

• 3456543

• 2346642

• 2457642

• 2468642

• 4321234

There are 10 islands and 12 bridges, as depicted in the figure. All bridges are open for traffic right now. What is the smallest number of bridges that must be closed in order to stop the traffic between A and B?

• 1

• 2

• 3

• 4

• 5

Martin wants to colour the squares of the rectangle so that 1/3 of all squares are blue and half of all squares are yellow. The rest of the squares are to be coloured red.

How many squares will he colour red?

• 1

• 2

• 3

• 4

• 5

When the car wheels make one full rotation the car moves forward by about 1.8 meters. Approximately how many kilometres will the car move forward after 10,000 full rotations of the wheels?

• 1.8

• 18

• 180

• 1800

• 18000

There are 32 students in Mrs. Vicky’s class. Part of the students took one pencil each from the box with pencils on the teacher’s desk. Then a third of the remaining students took 3 pencils each, and there were no more pencils left in the box. How many pencils were there in the box at first?

• 16

• 24

• 32

• 43

• 64

Three rhinoceroses Jane, Kate and Lynn go for a walk: Jane first, Kate in the middle, and Lynn – last. Jane weighs 500 kg more than Kate. Kate weighs 1000 kg less than Lynn. Which of the following pictures may show Jane, Kate and Lynn in the order they walked?

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Peter and Nick are both working on "Kangaroo" contest problems. For every two problems that Peter solves, Nick manages to solve three problems. In total, the boys solved 30 problems. How many problems did Nick solve more than Peter?

• 5

• 6

• 7

• 8

• 9

Bob folded a piece of paper, used a hole puncher and punched exactly one hole in the folded paper. Then, he unfolded the piece of paper, which looked as shown below.

Which of the following pictures shows the lines along which Bob folded the piece of paper?

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