ASVAB Mathematics Knowledge 5

Question 1

What is the value of 2³ × 2²?

Accepted Answer

32

Answer

2³ × 2² = 2^(3+2) = 2⁵ = 32.

Question 2

A bag contains 5 red and 3 blue marbles. What is the probability of drawing a red marble?

Accepted Answer

5/8

Answer

Probability = 5 red / (5 + 3) total = 5/8.

Question 3

Solve: |x − 4| = 7

Accepted Answer

x = 11 or x = −3

Answer

x − 4 = 7 gives x = 11; x − 4 = −7 gives x = −3.

Question 4

What is the greatest common factor (GCF) of 36 and 48?

Accepted Answer

12

Answer

Factors of 36: 1,2,3,4,6,9,12,18,36; factors of 48 include 12; GCF = 12.

Question 5

If the ratio of boys to girls in a class is 3:5 and there are 24 boys, how many students are in the class?

Accepted Answer

64

Answer

3 parts = 24, so 1 part = 8; total = 8 parts = 64.

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