IMSA Number Theory and Arithmetic 3

Question 1

If a number is divisible by 6, it must also be divisible by:

Accepted Answer

2 and 3

Answer

Since 6 = 2 × 3, any multiple of 6 must be divisible by both 2 and 3.

Question 2

What is the value of −2 + (−5) − (−3)?

Accepted Answer

−4

Answer

−2 + (−5) − (−3) = −2 − 5 + 3 = −4.

Question 3

A number squared equals 196. What is the number? (positive value)

Accepted Answer

14

Answer

√196 = 14 because 14 × 14 = 196.

Question 4

What is 3/8 + 5/12?

Accepted Answer

19/24

Answer

The LCD of 8 and 12 is 24; 9/24 + 10/24 = 19/24.

Question 5

Which of the following represents the number 45 written as a product of prime factors?

Accepted Answer

3² × 5

Answer

45 = 9 × 5 = 3² × 5; this is the complete prime factorization.

IMSA - Intermediate Math Skill Assesment Practice Test