IMSA Number Theory and Arithmetic 2

Question 1

What is the remainder when 47 is divided by 5?

Accepted Answer

2

Answer

47 ÷ 5 = 9 remainder 2, since 5 × 9 = 45 and 47 - 45 = 2.

Question 2

Which number is divisible by both 3 and 4?

Accepted Answer

36

Answer

36 ÷ 3 = 12 and 36 ÷ 4 = 9, so 36 is divisible by both.

Question 3

What is the absolute value of −15?

Accepted Answer

15

Answer

Absolute value measures distance from zero, so |−15| = 15.

Question 4

Express 0.35 as a fraction in simplest form.

Accepted Answer

7/20

Answer

0.35 = 35/100; dividing numerator and denominator by 5 gives 7/20.

Question 5

What is the value of (−3)⁴?

Accepted Answer

81

Answer

(−3)⁴ = (−3)(−3)(−3)(−3) = 81, since a negative number raised to an even power is positive.

IMSA - Intermediate Math Skill Assesment Practice Test