ASVAB Mathematics Knowledge 4 — Questions and Answers
Question 1: What is the least common multiple (LCM) of 6 and 8?
- 24 (Correct answer)
- 12
- 48
- 16
Correct answer: 24
Multiples of 6: 6,12,18,24; multiples of 8: 8,16,24 — LCM = 24.
Question 2: What is the slope of the line passing through (2, 3) and (6, 11)?
- 2 (Correct answer)
- 4
- 1/2
- 3
Correct answer: 2
Slope = (11 − 3) / (6 − 2) = 8 / 4 = 2.
Question 3: Simplify: √144
- 12 (Correct answer)
- 11
- 14
- 72
Correct answer: 12
12 × 12 = 144, so √144 = 12.
Question 4: If a cylinder has radius 3 and height 5, what is its volume? (Use π ≈ 3.14)
- 141.3 (Correct answer)
- 94.2
- 47.1
- 282.6
Correct answer: 141.3
V = πr²h = 3.14 × 9 × 5 = 141.3.
Question 5: Factor the expression: x² − 9
- (x − 3)(x + 3) (Correct answer)
- (x − 9)(x + 1)
- (x − 3)²
- (x + 9)(x − 1)
Correct answer: (x − 3)(x + 3)
x² − 9 is a difference of squares: (x − 3)(x + 3).
Question 6: What is the median of the data set: 5, 8, 3, 7, 1?
- 5 (Correct answer)
- 4.8
- 3
- 7
Correct answer: 5
Sorted: 1, 3, 5, 7, 8 — the middle value is 5.
Question 7: Which inequality is equivalent to −3x < 12?
- x > −4 (Correct answer)
- x < −4
- x > 4
- x < 4
Correct answer: x > −4
Dividing both sides by −3 flips the inequality: x > −4.
ASVAB Mathematics Knowledge 4
What is the least common multiple (LCM) of 6 and 8?