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International Contest-Game MATH KANGAROO

Canada, 2007

Grade 5 and 6

SOLUTIONS

Part A: Each correct answer is worth 3 points.

1. Which of the five pieces below fits together with the one given on the right

to form a rectangle?

A)

B)

C)

D)

E)

Solution: The piece completing the given figure has to contain a L-shape with two adjacent

rows of 4 and 3 squares (to fit the part shown).

Answer: B.

2. It takes Kanga the Kangaroo 6 seconds for every 4 jumps. How long does it take her to do

10 jumps?

A) 10 sec.

B) 12 sec.

C) 15 sec.

D) 18 sec.

E) 20 sec.

Solution: Since it takes 6 seconds for every 4 jumps, it will take 3 seconds for every 2 jumps.

Therefore, it will take (10/2)×3=15 seconds to do 10 jumps.

Answer: C

3. Zita walked from the left to the right and wrote the numbers she saw along the roads in her

notepad. Which of the following groups of numbers could be the numbers written by Zita?

A) 1,2 and 4

B) 2,3 and 4

C) 2,3 and 5

D) 1,5 and 6

E) 1,2 and 5

Solution: Since Zita walked from left to right, she had to pass by only one of the numbers in

each group of two elements ({1,2}; {3,4};{5,6}).

Answer: C ({1,2}; {3,4};{5,6}).

4. What is the value of 2007 ÷ (2 + 0 + 0 + 7) – 2 × × × × 0 × × × × 0 × × × × 7?

A) 0

B) 9

C) 204

D) 223

E) 2007

Solution: It is important to follow the Order of Operations Rules. The expression simplifies to

2007/9-0=223.

Answer: D

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Parent category: Education