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Test Prep ASVAB Section 6: Mathematics Knowledge Exam Questions
ASVAB Section Six : Mathematics Knowledge (Page 7 )

Updated On: 21-Feb-2026
Page 7 of 47
PDF with 227 Questions

x2 × x4 = ____________.

  1. x6
  2. x8
  3. 2x6
  4. 2x8

Answer(s): A

Explanation:

If two exponents have the same base, you can multiply them by keeping the base and adding the exponents together.



If a rectangle has a perimeter of 36 feet, and it’s 4-feet wide, what’s its area?

  1. 56 square feet
  2. 128 square feet
  3. 112 square feet
  4. 16 square feet

Answer(s): A

Explanation:

To find area, multiply length times width (A = lw). To determine the length, subtract two times the width from the perimeter: 36 – 2(4) = 36 – 8 = 28.
Then divide the remainder by 2 to determine the length of one side: 28 ÷ 2 = 14. Then multiply length times width to determine the area: 14 × 4 = 56.



The cube root of 64 is _______________.

  1. 3
  2. 9
  3. 2
  4. 4

Answer(s): D

Explanation:

The cube of 4 = 4 × 4 × 4 = 64, so 4 is the cube root of 64.



Convert 314,000 to scientific notation.

  1. 3.14 × 105
  2. 3.14 × 10-5
  3. 314 × 10
  4. 31.4 × 100

Answer(s): A

Explanation:

To convert this number to scientific notation, move the decimal point to the left until it’s to the immediate right of the first number, while counting the number of moves. In this case, you move it 5 places.
The result is then multiplied by 10, raised to the power of the number of places the decimal point was moved.



The reciprocal of 1⁄6 is ____________.

  1. 1
  2. 3
  3. 6
  4. 1⁄3

Answer(s): C

Explanation:

A reciprocal is the number by which a number can be multiplied to produce 1. So the reciprocal of 1⁄6 is 6 because 1⁄6 × 6 = 1.






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