ASVAB Mathematics Knowledge Test 4 — Questions and Answers
Question 1: What is the slope of a line that passes through (2, 3) and (6, 11)?
- 3
- 1
- 4
- 2 (Correct answer)
Correct answer: 2
Slope = (y₂ - y₁)/(x₂ - x₁) = (11 - 3)/(6 - 2) = 8/4 = 2.
Question 2: Simplify: (3/4) ÷ (9/16)
- 27/64
- 4/3 (Correct answer)
- 3/4
- 1/3
Correct answer: 4/3
Dividing by a fraction is the same as multiplying by its reciprocal: (3/4) × (16/9) = 48/36 = 4/3.
Question 3: The perimeter of a square is 52 inches. What is the area?
- 144 in²
- 169 in² (Correct answer)
- 196 in²
- 121 in²
Correct answer: 169 in²
Each side = 52/4 = 13 inches; area = 13² = 169 in².
Question 4: What is the least common multiple (LCM) of 8 and 12?
- 48
- 24 (Correct answer)
- 16
- 96
Correct answer: 24
Multiples of 8: 8,16,24,...; multiples of 12: 12,24,...; the smallest shared multiple is 24.
Question 5: What are the solutions to x² - 5x + 6 = 0?
- x = 2 and x = 3 (Correct answer)
- x = -2 and x = -3
- x = 1 and x = 6
- x = -1 and x = -6
Correct answer: x = 2 and x = 3
Factor as (x - 2)(x - 3) = 0, giving x = 2 or x = 3.
Question 6: If a bag contains 3 red marbles, 5 blue marbles, and 2 green marbles, what is the probability of picking a blue marble?
- 1/2 (Correct answer)
- 3/10
- 2/5
- 1/5
Correct answer: 1/2
Probability = favorable outcomes / total outcomes = 5/10 = 1/2.
Question 7: What is the volume of a rectangular box with length 4, width 3, and height 5?
- 47
- 60 (Correct answer)
- 24
- 94
Correct answer: 60
Volume = length × width × height = 4 × 3 × 5 = 60.
ASVAB Mathematics Knowledge Test 4
What is the slope of a line that passes through (2, 3) and (6, 11)?