ASVAB Mathematics Knowledge 3 — Questions and Answers
Question 1: What is the value of 3² + 4²?
- 25 (Correct answer)
- 20
- 14
- 49
Correct answer: 25
3² = 9 and 4² = 16, so 9 + 16 = 25.
Question 2: Simplify: (x³)(x⁴)
- x⁷ (Correct answer)
- x¹²
- x¹
- 2x⁷
Correct answer: x⁷
When multiplying like bases, add the exponents: 3 + 4 = 7, giving x⁷.
Question 3: The area of a triangle with base 10 and height 6 is:
- 30 (Correct answer)
- 60
- 16
- 120
Correct answer: 30
Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30.
Question 4: Which of the following is a prime number?
- 37 (Correct answer)
- 51
- 49
- 27
Correct answer: 37
37 is divisible only by 1 and itself; 51=3×17, 49=7×7, 27=3³.
Question 5: Solve for x: 5x − 3 = 2x + 9
Correct answer: 4
5x − 2x = 9 + 3 → 3x = 12 → x = 4.
Question 6: What is 15% of 200?
- 30 (Correct answer)
- 15
- 25
- 20
Correct answer: 30
15% of 200 = 0.15 × 200 = 30.
Question 7: A rectangle has a perimeter of 36 and a width of 8. What is its length?
Correct answer: 10
Perimeter = 2(l + w) → 36 = 2(l + 8) → l + 8 = 18 → l = 10.
