AFQT Mathematics Knowledge 3 — Questions and Answers
Question 1: What is the least common multiple (LCM) of 6 and 8?
- 48
- 24 (Correct answer)
- 12
- 36
Correct answer: 24
The LCM of 6 and 8 is 24, the smallest number divisible by both.
Question 2: A circle has a radius of 7. What is its circumference? (Use π ≈ 3.14)
- 43.96 (Correct answer)
- 153.86
- 21.98
- 87.92
Correct answer: 43.96
Circumference = 2πr = 2 × 3.14 × 7 = 43.96.
Question 3: Solve for x: x/4 + 3 = 7
- 10
- 28
- 16 (Correct answer)
- 12
Correct answer: 16
Subtracting 3: x/4 = 4, then multiplying by 4: x = 16.
Question 4: What is the slope of a line passing through (2, 3) and (6, 11)?
- 3
- 2 (Correct answer)
- 4
- 1
Correct answer: 2
Slope = (11 - 3) / (6 - 2) = 8 / 4 = 2.
Question 5: Which expression is equivalent to 5(2x - 3)?
- 10x - 3
- 10x - 15 (Correct answer)
- 7x - 8
- 10x + 15
Correct answer: 10x - 15
Distributing: 5 × 2x = 10x and 5 × (-3) = -15, giving 10x - 15.
Question 6: What is the square root of 144?
- 11
- 13
- 14
- 12 (Correct answer)
Correct answer: 12
12 × 12 = 144, so √144 = 12.
Question 7: If 2/3 of a number is 18, what is the number?
- 12
- 24
- 27 (Correct answer)
- 36
Correct answer: 27
If (2/3)n = 18, then n = 18 × (3/2) = 27.
AFQT Mathematics Knowledge 3
What is the least common multiple (LCM) of 6 and 8?