ASVAB Mathematics Knowledge Test 2 — Questions and Answers
Question 1: What is the value of x in the equation 3x - 7 = 14?
- 5
- 7 (Correct answer)
- 3
- 9
Correct answer: 7
Adding 7 to both sides gives 3x = 21, then dividing by 3 yields x = 7.
Question 2: A rectangle has a length of 12 cm and a width of 5 cm. What is its area?
- 34 cm²
- 60 cm² (Correct answer)
- 17 cm²
- 120 cm²
Correct answer: 60 cm²
Area of a rectangle = length × width = 12 × 5 = 60 cm².
Question 3: Which of the following is a prime number?
- 27
- 33
- 41 (Correct answer)
- 49
Correct answer: 41
41 is only divisible by 1 and itself, making it prime; the others have additional factors.
Question 4: What is 15% of 240?
- 30
- 24
- 36 (Correct answer)
- 40
Correct answer: 36
15% of 240 = 0.15 × 240 = 36.
Question 5: Simplify: (x²)(x³)
- x⁵ (Correct answer)
- x⁶
- 2x⁵
- x⁹
Correct answer: x⁵
When multiplying powers with the same base, add the exponents: x² × x³ = x^(2+3) = x⁵.
Question 6: The sum of two consecutive even integers is 54. What is the smaller integer?
- 24
- 26 (Correct answer)
- 28
- 22
Correct answer: 26
Let the integers be n and n+2; n + (n+2) = 54 → 2n = 52 → n = 26.
Question 7: What is the greatest common factor (GCF) of 36 and 48?
- 6
- 9
- 12 (Correct answer)
- 18
Correct answer: 12
Factors of 36: 1,2,3,4,6,9,12,18,36; factors of 48: 1,2,3,4,6,8,12,16,24,48; GCF = 12.
ASVAB Mathematics Knowledge Test 2
What is the value of x in the equation 3x - 7 = 14?