Skip to main content

ASVAB-SECTION-6 Real Exam Questions

ASVAB Section Six : Mathematics Knowledge

234 questions available · Page 1 of 24

Updated Exam DumpsVerified AnswersPass Guarantee

Get Complete Exam Dumps
Question 1 Single choice

A cube has a volume of 512 cubic inches.

What is the length of one side of the cube?

  1. A

    8 inches

  2. B

    64 inches

  3. C

    128 inches

  4. D

    16 inches

Show answer and explanation

Correct answer: A

Question 2 Single choice

Solve for x: -x2 - x + 30 = 0

  1. A

    4, -8

  2. B

    -6, 5

  3. C

    -4, 5

  4. D

    6, -3

Show answer and explanation

Correct answer: B

Explanation

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

Question 3 Single choice

What number multiplied by 2/3 will give a product of 1?

  1. A

    -2/3

  2. B

    -3/2

  3. C

    3/2

  4. D

    4/6

Show answer and explanation

Correct answer: C

Explanation

Explanation:
If a number is multiplied by its reciprocal (also called its multiplicative inverse), the product is 1. The reciprocal of a traction is found by inverting the fraction.
The reciprocal of 2/3 is 3/2, that is, 2/3 x 3/2 = 1

Question 4 Single choice

If -5x = 25, x equals __________.

  1. A

    -5

  2. B

    5

  3. C

    10

  4. D

    0

Show answer and explanation

Correct answer: A

Explanation

Explanation:
Isolate x by dividing each side of the equation by -5:
-5x ÷ -5 = 25 ÷ -5
x = -5

Question 5 Single choice

In the diagram provided, what is the value of x?

  1. A

    153°

  2. B

    333°

  3. C

    27°

  4. D

    207°

Show answer and explanation

Correct answer: A

Question 6 Single choice

Evaluate the expression 6a - 3x - 2y, if a = 3, x = 7, and y = 4.

  1. A

    -5

  2. B

    -40

  3. C

    31

  4. D

    40

Show answer and explanation

Correct answer: A

Explanation

Explanation:
Replace the unknowns with the numbers given. (6 x -3) - (3 x -7) - (2 x 4) = -18 + 21 - 8 = -5.

Question 7 Single choice

If a circle has a radius of 18 feet, what is its circumference (to the nearest whole foot)?

  1. A

    36 feet

  2. B

    113 feet

  3. C

    54 feet

  4. D

    108 feet

Show answer and explanation

Correct answer: B

Question 8 Single choice

The suburb of Hewitt has a private subdivision that has a pool in the shape of a quadrilateral.

If the subdivision wants to put a lifeguard on each side of the pool, how many lifeguards will be needed?

  1. A

    eight

  2. B

    six

  3. C

    four

  4. D

    three

Show answer and explanation

Correct answer: C

Explanation

Explanation:
Since a quadrilateral is a four-sided figure, the subdivision will need four lifeguards. A quadrilateral, by
definition, has four sides.
Whether the sides are parallel - a parallelogram - or if all four sides are equal and all four angles are right angles - a square - there are still four sides, and, therefore, four lifeguards.

Question 9 Single choice

(675 x 3)/5 = __________.

  1. A

    400

  2. B

    40

  3. C

    200

  4. D

    405

Show answer and explanation

Correct answer: D

Question 10 Single choice

If a = 8, then 84/a = __________.

  1. A

    32

  2. B

    12

  3. C

    512

  4. D

    4096

Show answer and explanation

Correct answer: C