MATHEMATICS KNOWLEDGE ASVAB EXAM QUESTIONS

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MATHEMATICS KNOWLEDGE ASVAB EXAM QUESTIONS

Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -25 Questions and Answers

-Format: Multiple-choice / Flashcard

Question 1: Mathematics Knowledge - ASVAB (full) test

25: If x is a positive integer, solve x2 + 6x = 16.

• 2
• 4
• 8
• 10

Answer:

• 2

• Set the equation equal to 0 and factor. x2 + 6x - 16 = 0 and (x + 8)(x -

2) = 0. Then, either x + 8 = 0 or x - 2 = 0, so x = -8 or x =

• Since x is positive, x = 2 only.

Question 2: Mathematics Knowledge - ASVAB (full) test

7: (3 - 1)×7 - 12 ÷ 2 =

• 1
• -2
• 4

• 8

Answer:

• 8

D. Following the correct order of operations produces: (3 -

1) × 7 - 12÷2 = 2 × 7 - (12÷2) = 14 - 6 = 8.

Question 3: Mathematics Knowledge - ASVAB (full) test

16: If 2b+3=1/8, b=

• -6
• -3
• 0
• 2

Answer:

• -6

• 1/8=1/23=2-3 so 2b+3=2-3 and b + 3 = -3. Therefore, b + 3 - 3 = -3 - 3 = -6.

Question 4: Mathematics Knowledge - ASVAB (full) test

5: If a + b = 6, what is the value of 3a + 3b?

• 9
• 12
• 18
• 24

Answer:

• 18

• 3a + 3b = 3(a + b). Since a + b = 6, 3a + 3b = 3(6) = 18.

Question 5: Mathematics Knowledge - ASVAB (full) test

21: Which expression represents the volume of a cylinder whose height is equivalent to the length of the radius?

• pr2
• pr3
• (pr)2
• (pr)3

Answer:

• pr3

• The volume of a cylinder is given by the formula V = pr2h, where r is the radius of the circular base

and h is the height. Since h = r, V = pr2r = pr3.

Question 6: Mathematics Knowledge - ASVAB (full) test

22: How many distinct prime factors are there in 120?

• 2
• 3
• 4
• 5

Answer:

• 3

• Prime factors of 120 are 2 × 2 × 2 × 3 ×
• Distinct factors are 2, 3, and
• Therefore, there are three distinct prime factors.

Question 7: Mathematics Knowledge - ASVAB (full) test

6: Find the length of the radius in the following figure.

• 3
• 4
• 5

• 10

Answer:

• 5

• The hypotenuse of the triangle is the diameter of the circle. By the Pythagorean theorem, d2 = 62 +

82= 36 + 64 = 100. So d = ?100 = 10 and the radius is 10/2=5.

Question 8: Mathematics Knowledge - ASVAB (full) test

19: If the area of a square is 400, what is the length of its side?

• 20
• 40

C. 100

D. 200

Answer:

• 20

• The area of a square is s2 where s is a side of the square. If s2 = 400, then s = ?400 = 20.

Question 9: Mathematics Knowledge - ASVAB (full) test

13: The value of x is

A. 70°

B. 110°

C. 140°

D. 210°

Answer:

B. 110°

• The angle adjacent to the 140° angle is 40° since supplementary angles add to 180°. The angles of a

triangle add to 180° so the angle adjacent to angle x is 180° - 70° - 40° = 70°. Angle x and 70° are supplementary, so x = 180° - 70° = 110°.