ASVAB Mathematics Knowledge 5 — Questions and Answers
Question 1: What is the value of 2³ × 2²?
- 32 (Correct answer)
- 16
- 64
- 10
Correct answer: 32
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?
- 5/8 (Correct answer)
- 3/8
- 5/3
- 1/2
Correct answer: 5/8
Probability = 5 red / (5 + 3) total = 5/8.
Question 3: Solve: |x − 4| = 7
- x = 11 or x = −3 (Correct answer)
- x = 11
- x = 3 or x = −11
- x = −3
Correct answer: x = 11 or x = −3
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?
- 12 (Correct answer)
- 6
- 24
- 9
Correct answer: 12
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?
- 64 (Correct answer)
- 40
- 56
- 48
Correct answer: 64
3 parts = 24, so 1 part = 8; total = 8 parts = 64.
Question 6: Which expression equals (2x + 3)²?
- 4x² + 12x + 9 (Correct answer)
- 4x² + 9
- 4x² + 6x + 9
- 2x² + 12x + 9
Correct answer: 4x² + 12x + 9
(2x + 3)² = (2x)² + 2(2x)(3) + 3² = 4x² + 12x + 9.
Question 7: What is the surface area of a cube with side length 4?
- 96 (Correct answer)
- 64
- 48
- 144
Correct answer: 96
Surface area = 6 × side² = 6 × 16 = 96.
ASVAB Mathematics Knowledge 5
What is the value of 2³ × 2²?