ASVAB Mathematics Knowledge Test 5 — Questions and Answers
Question 1: What is the value of |-15 + 8|?
- -7
- 23
- 7 (Correct answer)
- -23
Correct answer: 7
|-15 + 8| = |-7| = 7, since absolute value is always non-negative.
Question 2: If 5x + 3 = 2x + 18, what is x?
- 3
- 5 (Correct answer)
- 7
- 4
Correct answer: 5
Subtracting 2x from both sides: 3x + 3 = 18; then 3x = 15, so x = 5.
Question 3: A store marks up an item by 25% from its cost of $80. What is the selling price?
- $95
- $100 (Correct answer)
- $105
- $110
Correct answer: $100
Markup = 25% × $80 = $20; selling price = $80 + $20 = $100.
Question 4: What is the median of the data set: 4, 7, 2, 9, 5?
- 7
- 4
- 5 (Correct answer)
- 2
Correct answer: 5
Ordered: 2, 4, 5, 7, 9; the middle value is 5.
Question 5: Evaluate: 2⁴ - 3²
- 5
- 7 (Correct answer)
- 13
- 8
Correct answer: 7
2⁴ = 16 and 3² = 9; 16 - 9 = 7.
Question 6: What is the value of x if (x/3) + 4 = 9?
- 10
- 15 (Correct answer)
- 21
- 5
Correct answer: 15
Subtracting 4 from both sides: x/3 = 5; multiplying by 3: x = 15.
Question 7: Two supplementary angles are in a ratio of 2:3. What is the measure of the smaller angle?
- 54°
- 72° (Correct answer)
- 36°
- 108°
Correct answer: 72°
Supplementary angles sum to 180°; ratio 2:3 → 2 parts + 3 parts = 5 parts = 180°, so each part = 36°; smaller angle = 2 × 36° = 72°.
ASVAB Mathematics Knowledge Test 5
What is the value of |-15 + 8|?