10 Most Common ASVAB Math Questions

Preparing for the ASVAB Math test? Want a preview of the most common mathematics questions on the ASVAB Math test? If so, then you are in the right place.

The mathematics section of ASVAB can be a challenging area for many test-takers, but with enough patience, it can be easy and even enjoyable!

Preparing for the ASVAB Math test can be a nerve-wracking experience. Learning more about what you’re going to see when you take the ASVAB can help to reduce those pre-test jitters. Here’s your chance to review the 10 most common ASVAB Math questions to help you know what to expect and what to practice most. Try these 10 most common ASVAB Math questions to hone your mathematical skills and to see if your math skills are up to date on what’s being asked on the exam or if you still need more practice.

Make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions you need to practice.

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10 Sample ASVAB Math Practice Questions

1- A family owns 15 dozen of magazines. After donating 57 magazines to the public library, how many magazines are still with the family?

A. 180

B. 152

C. 123

D. 98

2- In the deck of cards, there are 4 spades, 3 hearts, 7 clubs, and 10 diamonds. What is the probability that William will pick out a spade?

A. \(\frac{1}{6}\)

B. \(\frac{1}{8}\)

C. \(\frac{1}{9}\)

D. \(\frac{1}{5}\)

3- What is the prime factorization of 560?

A. \(2 × 2 × 5 × 7\)

B. \(2 × 2 × 2 × 2 × 5 × 7\)

C. \(2 × 7\)

D. \(2 × 2 × 2 × 5 × 7\)

4- William is driving a truck that can hold 5 tons maximum. He has a shipment of food weighing 32,000 pounds. How many trips will he need to make to deliver all of the food?

A. 1 Trip

B. 3 Trip

C. 4 Trip

D. 6 Trip

5- A man goes to a casino with $180. He loses $40 on blackjack, then loses another $50 on roulette. How much money does he have left?

A. $75

B. $90

C. $105

D. $120

6- A woman owns a dog walking business. If 3 workers can walk 9 dogs, how many dogs can 5 workers walk?

A. 13

B. 14

C. 15

D. 19

7- If \(a = 3\), what is the value of \(b\) in this equation?

A. 10

B. 8

C. 6

D. 4

8- The eighth root of 256 is:

A. 6

B. 4

C. 8

D. 2

9-A circle has a radius of 5 inches. What is its approximate area? (\(π = 3.14\))

A. 90.7 square inches

B. 78.5 square inches

C. 31.4 square inches

D. 25 square inches

10- If \(- 8a = 64\), then \(a =\) ?

A. \(-8\)

B. 8

C. 16

D. 0

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Answers:

1- C
15 dozen of magazines are 180 magazines: \(15 × 12 = 180\)
\(180 – 57 = 123\)

2- A
\(probability=\frac{desired \space outcomes}{possible \space outcomes}=\frac{4}{4+3+7+10}=\frac{4}{24}=\frac{1}{6}\)

3- B
Find the value of each choice:
\(A. \space 2 × 2 × 5 × 7 = 140\)
\(B. \space 2 × 2 × 2 × 2 × 5 × 7 = 560\)
\(C. \space 2 × 7 = 14\)
\(D. \space 2 × 2 × 2 × 5 × 7 = 280\)

4- C
1 ton \(= 2,000\) pounds
5 ton \(= 10,000\) pounds
\(\frac{32,000}{10,000}=3.2 \)
William needs to make at least 4 trips to deliver all of the food.

5- B
\(180 – 40 – 50 = 90\)

6- C
Each worker can walk 3 dogs: \(9 ÷ 3 = 3\)
5 workers can walk 15 dogs.
\(5 × 3 = 15\)

7- C
If \(a = 3\) then:
\(b = \frac{a^2}{3}+ 3 ⇒ b =\frac{3^2}{3}+ 3 = 3 + 3 = 6\)

8- D
\(\sqrt[8]{256}\)
\((2^8=2×2×2×2×2×2×2×2=256)\)

9- B
(r = radius)
Area of a circle = \(πr^2 = π × (5)^2 = 3.14 × 25 = 78.5\)

10- A
\(- 8a = 64 ⇒ a = \frac{64}{-8}= – 8\)

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