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ASVAB MATHEMATICS KNOWLEDGE EXAM QUESTIONS

Exam (elaborations) Feb 17, 2026
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ASVAB MATHEMATICS KNOWLEDGE EXAM QUESTIONS

Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -23 Questions and Answers

-Format: Multiple-choice / Flashcard

Question 1: A square box has a volume of 64 cubic inches. What's the perimeter of one of its faces?

  • inches
  • 16 inches 64 inches 32 inches

Answer:

16 inches

Question 2: Which of the following is a prime number?

27 11 8 4

Answer:

11 A prime number is a number that can be divided evenly by itself or by 1 but not by any other number.Choices (A), (C), and (D) can all be divided evenly by other numbers.

Question 3: What is the prime factorization of 100?

2 × 50

2^2 × 5^2

4 × 25

25^2

Answer:

2^2 * 5^2

4*25=100

Question 4: The cube of 6 is

125 225 216 238

Answer:

216 The cube of 6 is 63 = 6 × 6 × 6 = 216.Don't Know Somewhat Know Know Tag this question with one of the options to proceed

Question 5: The average of 54, 61, 70, and 75 is

50 52 55 65

Answer:

65 Question 6: Solve for x: 5 - 3x ? 14 + 6x x ? -1 x ? -1 x > -1 x < -1

Answer:

x ? -1 As you solve this inequality, remember that when you multiply or divide an inequality by a negative

number, you need to reverse the direction of the inequality sign:

  • - 3x ? 14 + 6x
  • - 3x - 6x ? 14
  • -9x ? 14 - 5 -9x ? 9 x ? -1

Question 7: Triangle ABC is a(n)

Answer:

In an equilateral triangle, all sides are equal and all angles are equal.

Question 8: The following figure is what type of quadrilateral?

Answer:

Parallelogram Parallelograms have opposite sides of equal length.

Question 9: (x^3)2 =

x^5 x^6 x^9 2x^3

Answer:

x6 (x3)2 is the same as (x3)(x3). To multiply exponents with the same base, keep the base and add the

exponents: (x3)(x3) = x3+3 = x6.

Question 10: Solve: 5!25 125 120 15

Answer:

120 The factorial (!) of a number is the number multiplied by the next-smallest whole number, then by the

next smallest whole number, and so on down to 1:

5! = 5 × 4 × 3 × 2 × 1 = 120

Question 11: 5+x

Answer:

(3 × 2)(7 - 2)(6 +

2) = (6 × 4)x. What's the value of x?-5 5 10 1

Question 12: A cube has a volume of 64 cubic inches. What's the length of one side of the cube?

  • inches
  • 16 inches

  • inches
  • 32 inches

Answer:

  • inches
  • Volume equals length × width × height (V = lwh). Finding the cube root of 64 shows that each edge measures 4 inches (4 × 4 × 4 = 64).

Question 13: 12

You start with (3 × 3)(5 - 3)(6 + 2) = x2. First solve the left side of the equation: (9)(2)(8) = 144. So x2 = 144. Find the square root

of each side: x = 12.

Answer:

In the equation 3x + 7y = 21, at what point is the x-axis intersected?

(7, 0)

(0, 7)

(0, 4)

(4, 0)

Question 14: A cube has a volume of 64 cubic inches. What's its surface area?

16 square inches 64 square inches 96 square inches 32 square inches

Answer:

96 square inches You calculate volume by multiplying length times width times height (V = lwh). Because the edges are equal on a cube, each edge is 4 inches (because 4 × 4 × 4 = 64). The area of one face of the cube is 4 × 4 = 16 square inches, and because a cube has 6 sides, you multiply 16 × 6 to find the surface area of the cube, 96 square inches.

Question 15: x(x2)

x^2 2x 2x^2 x^3

Answer:

x × x^2 = x(1 +

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