ASVAB Mathematics Knowledge Test 3 — Questions and Answers
Question 1: What is the value of √144?
- 11
- 14
- 12 (Correct answer)
- 13
Correct answer: 12
12 × 12 = 144, so √144 = 12.
Question 2: A circle has a radius of 7. What is its area? (Use π ≈ 3.14)
- 43.96
- 153.86 (Correct answer)
- 21.98
- 78.5
Correct answer: 153.86
Area = πr² = 3.14 × 7² = 3.14 × 49 ≈ 153.86.
Question 3: Solve for y: 2y + 8 = 3y - 5
Correct answer: 13
Subtracting 2y from both sides gives 8 = y - 5, then y = 13.
Question 4: If a train travels 300 miles in 5 hours, what is its average speed in miles per hour?
- 55 mph
- 65 mph
- 60 mph (Correct answer)
- 70 mph
Correct answer: 60 mph
Speed = distance ÷ time = 300 ÷ 5 = 60 mph.
Question 5: What is the value of 4³?
- 12
- 64 (Correct answer)
- 48
- 16
Correct answer: 64
4³ = 4 × 4 × 4 = 64.
Question 6: A triangle has angles measuring 45°, 90°, and x°. What is x?
- 45 (Correct answer)
- 55
- 35
- 60
Correct answer: 45
The angles of a triangle sum to 180°; 180 - 45 - 90 = 45°.
Question 7: Which expression is equivalent to 3(2x - 4)?
- 6x - 4
- 6x - 12 (Correct answer)
- 5x - 7
- 6x + 12
Correct answer: 6x - 12
Distribute: 3 × 2x = 6x and 3 × (-4) = -12, giving 6x - 12.
