# Full-Length ASVAB Math Practice Test-Answers and Explanations

Did you take the ASVAB Math Practice Test? If so, then it’s time to review your results to see where you went wrong and what areas you need to improve.

## ASVAB Mathematical Reasoning Practice Test Answers and Explanations

1- **Choice C is correct**

Each worker can walk 2 dogs: \(8 ÷ 4 = 2\), 3 workers can walk 6 dogs. \(3 × 2 = 6\)

2- **Choice A is correct**

Change 6 hours to minutes, then: \(6 × 60 = 360\) minutes, \(\frac{360 }{90}= 4\)

3- **Choice A is correct**

The base rate is $20. The fee for the first 40 visits is: \(40×0.25=10 \)

The fee for the visits 41 to 60 is:\( 20×0.15=3\), Total charge: \(20 + 10 + 3 = 33\)

4-** Choice C is correct**

12 dozen of magazines are 144 magazines: \(12 × 12 = 144, 144 – 36 = 108\)

5- **Choice C is correct**

1 ton \(= 2,000\) pounds, 3ton \(= 6,000\) pounds, \(\frac{27,000}{6,000} = 4.5\)

William needs to make at least 5 trips to deliver all of the food.

6- **Choice A is correct**

average\(=\frac{sum}{total}=\frac{28+23+36}{3}=\frac{87}{3}=29\)

7- **Choice B is correct**

Find the value of each choice:

\(A. 2×2×5×7= 140 \)

\(B. 2×2×2×5×7= 280 \)

\(C. 2×7= 14 \)

\(D. 2×2×2×2×5×7= 560\)

8- **Choice D is correct**

Karen \(=\)Michelle \(+ 8\), Michelle \(=\)David \(– 5\), Karen \(+\) Michelle \(+\) David \(=88\)

Michelle \(=\)David \(– 5 ⇒\) David \(=\)Michelle\( + 5\), Karen \(+\) Michelle \(+\) David \(=88\)

Now, replace the ages of Karen and David by Michelle. Then:

Michelle \(+ 8 +\) Michelle \(+\) Michelle \(+ 5 =88\), 3Michelle \(+ 13 =88\) ⇒ 3Michelle \(=88 – 13 \)

3Michelle \(=75\), Michelle \(= 25\)

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9- **Choice A is correct**

Area of a rectangle \(=\) width \(×\) length \(= 25 × 50 = 1,250\)

10- **Choice C is correct**

The amount they have \(= $11.25 + $13.50 + $16.45 = 41.20\)

11- **Choice D is correct**

distance\(=\)speed \(×\)time \(⇒\)time\(=\frac{distanc}{speed}=\frac{400}{40}=10 \)

(Round trip means that the distance is 400 miles)

The round trip takes 10 hours. Change hours to minutes, then: \(10×60=600\)

12- **Choice B is correct**

\(200 – 50 – 55 = 95\)

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13- **Choice C is correct**

average\(=\frac{sum}{total}\)

Sum \(= 5 + 8 + 13 + 18 + 22 + 25 + 28 + 25 = 144\)

Total number of numbers \(= 8\)

average\(=\frac{144}{8} = 18\)

14- **Choice B is correct**

Since Julie gives 6 pieces of candy to each of her friends, then, the number of pieces of candies must be divisible by \(6. 190 ÷ 6 = 31.67, 240 ÷ 6 = 40, 260 ÷ 6 = 43.33, 275 ÷ 6 = 45.83\), Only choice b gives a whole number.

15- **Choice A is correct**

probability\(=\frac{desird outcomes}{possible outcomes}=\frac{3}{4+3+7+10}=\frac{3}{24}=\frac{1}{8}\)

16- **Choice B is correct**

\(30 ÷ 2 = 15\) hours for one course, \(15 × 22 = 330⇒ $330\)

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