IMO Number Theory 2

Question 1

What is the value of 2⁵?

Accepted Answer

32

Answer

2⁵ = 2 × 2 × 2 × 2 × 2 = 32.

Question 2

Which of the following is a perfect square?

Accepted Answer

64

Answer

64 = 8², so it is a perfect square.

Question 3

What is the remainder when 47 is divided by 5?

Accepted Answer

2

Answer

47 = 9 × 5 + 2, so the remainder is 2.

Question 4

How many prime numbers are there between 10 and 30?

Accepted Answer

6

Answer

The primes between 10 and 30 are 11, 13, 17, 19, 23, and 29 — a total of 6.

Question 5

What is the value of √144?

Accepted Answer

12

Answer

√144 = 12 because 12² = 144.

IMO - International Mathematics Olympiad Practice Test