Test Prep ASVAB Section 6: Mathematics Knowledge Exam (page: 4)
Test Prep ASVAB Section Six : Mathematics Knowledge
Updated on: 09-Feb-2026

If (5 + 1)(6 ÷ 3)(8 – 5) = (3 + 3)x, then x = ________________.

  1. 12
  2. 3
  3. 4
  4. 6

Answer(s): D

Explanation:

Solve the first half of the equation. (6) (2) (3) = 36. Therefore, 36 = (3 + 3)x, which turns into 36 = 6x. Isolate x. 36 ÷ 6 = 6x ÷ 66 = x
To check your answer, substitute 6 for x.



√49 × √64 = ________________.

  1. 56
  2. 15
  3. 42
  4. 3,136

Answer(s): A

Explanation:

The square root of 49 is 7; the square root of 64 is 8. 7 × 8 = 56.



Which of the following fractions is the largest?

  1. 2⁄5
  2. 3⁄8
  3. 7⁄10
  4. 13⁄16

Answer(s): D

Explanation:

Find a common denominator for the fractions. In this case, 80 work for all the fractions. Convert all the fractions: 2⁄5 = 32⁄80; 3⁄8 = 30⁄80; 7⁄10 = 56⁄80; and 13⁄16 = 65⁄80.
Comparing the fractions, you can see that 13⁄16 (65⁄80) is the largest fraction.



If 2 + x ≥ 4, what is the value of x?

  1. 6
  2. 2
  3. 4
  4. 1⁄2

Answer(s): B

Explanation:

Solve as you would solve for any unknown. 2 + x ≥ 4 = 2 + x – 2 ≥ 4 – 2. Or, x ≥ 2. To check your answer, substitute 2 for x.
2 + 2 ≥ 4. True, so the answer is correct.



If a circle has a radius of 12 feet, what’s its circumference most nearly?

  1. 24 feet
  2. 72 feet
  3. 75 feet
  4. 36 feet

Answer(s): C

Explanation:

Circumference equals π × diameter, and diameter is equal to two times the radius. Or
C = π × d, and d = 2r. C = π × 24.
If you round π to 3.14, the answer is about 75.36 or about 75 feet.



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