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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