Test Prep ASVAB Section 6: Mathematics Knowledge Exam (page: 9)
Test Prep ASVAB Section Six : Mathematics Knowledge
Updated on: 09-Feb-2026

Angle AB (shown above) is a(n)__________.

  1. complementary angle
  2. supplementary angle
  3. acute angle
  4. obtuse angle

Answer(s): D

Explanation:

Angles measuring more than 90 degrees are obtuse angles.



Solve for x: = −x2 – x + 30 = 0

  1. 4, −8
  2. −6, 5
  3. −4, 5
  4. 6, −3

Answer(s): B

Explanation:

This is a quadratic equation, which is solved by factoring.
–x2 – x + 30 = 0
–(–x2 – x + 30) = 0
x2 + x – 30 = 0

(x + 6)(x – 5) = 0 x + 6 = 0x – 5 = 0 x = –6x = 5



A square box has a volume of 64 cubic inches. What’s its perimeter?

  1. 8 inches
  2. 16 inches
  3. 64 inches
  4. 32 inches

Answer(s): B

Explanation:

Volume equals length times width times height (V = lwh). In this case, V = 64, so one side of the box is 4- inches long.
The cube root of 64 produces this number: 64 = 4 × 4 × 4.
Find the perimeter by adding the four sides together: 4 + 4 + 4 + 4 = 16.



A cube has a volume of 64 cubic inches. What’s its surface area?

  1. 16 square inches
  2. 64 square inches
  3. 96 square inches
  4. 32 square inches

Answer(s): C

Explanation:

Volume is calculated by multiplying length times width times height (V = lwh). Because the edges are equal on a cube, each edge is 4 inches.
The cube root of 64 produces this number: 64 = 4 × 4 × 4.
The area of one side of the cube is 4 × 4 = 16, and because a cube has 6 sides, you multiply 16 × 6 to find the surface area of the cube, 96 inches.



(x2)3 = _____________.

  1. 3x3
  2. x6
  3. x9
  4. 2x6

Answer(s): B

Explanation:

(x2)3 is the same as (x2) (x2) (x2). Multiply exponents with the same base by keeping the base and adding the exponents: (x2) (x2) (x2) = x6.



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