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  5. ASVAB Section 6: Mathematics Knowledge

Test Prep ASVAB Section 6: Mathematics Knowledge Exam Questions
ASVAB Section Six : Mathematics Knowledge (Page 3 )

Updated On: 21-Feb-2026
Page 3 of 47
PDF with 227 Questions

(12 yards + 14 feet) ÷ 5 = ____________ .

  1. 12 feet
  2. 51⁄5 feet
  3. 10 feet
  4. 21⁄2 yards

Answer(s): C

Explanation:

Convert 12 yards and 14 feet to feet: (12 yards × 3 feet per yard) + 14 feet = 36 feet + 14 feet = 50 feet. Divide by 5 as instructed: 50 feet ÷ 5 = 10 feet.



x3 × x4 = _________.

  1. x12
  2. 2x7
  3. 2x12
  4. x7

Answer(s): D

Explanation:

If two powers have the same base, they can be multiplied by keeping the base and adding the powers together.



(x + 4)(x + 2) = ______________ .

  1. x2 + 6x + 6
  2. x2 + 8x + 8
  3. x2 + 8x + 6
  4. x2 + 6x + 8

Answer(s): D

Explanation:

Multiply the first variable in the first set of parentheses with the first variable in the second set of parentheses (x× x = x2).
Next, multiply the first variable in the first set of parentheses with the second number in the second set of parentheses (x × 2 = 2x). So far, the results are x2 + 2x.
Now, multiply the second number in the first set of parentheses to the first variable in the second set of parentheses (4 × x = 4x).
Next, multiply the second variable in the first set of parentheses to the second number in the second set of parentheses (4 × 2 = 8).
The solution is x2+ 2x + 4x + 8.
Combining the like terms results in x2+ 6x + 8.



1.5 × 103= ______________.

  1. 45
  2. 150
  3. 1,500
  4. 15

Answer(s): C

Explanation:

1.5 × 103= 1.5 × (10 × 10 × 10) = 1.5 × 1,000 = 1,500.



Which of the following is a prime number?

  1. 27
  2. 11
  3. 8
  4. 4

Answer(s): B

Explanation:

A prime number is a number that can be divided evenly by itself or by one, but not by any other number. Choices 27, 8 and 4 can all be divided evenly by other numbers.






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