ASVAB Arithmetic Reasoning Practice Test 703111 Results

Your Results Global Average
Questions 5 5
Correct 0 3.40
Score 0% 68%

Review

1

How many 6-passenger vans will it take to drive all 92 members of the football team to an away game?

81% Answer Correctly
4 vans
12 vans
16 vans
3 vans

Solution

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{92}{6} \) = 15\(\frac{1}{3}\)

So, it will take 15 full vans and one partially full van to transport the entire team making a total of 16 vans.


2

What is \( \frac{4}{9} \) x \( \frac{4}{7} \)?

72% Answer Correctly
\(\frac{1}{8}\)
\(\frac{1}{24}\)
\(\frac{16}{63}\)
\(\frac{1}{21}\)

Solution

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{4}{9} \) x \( \frac{4}{7} \) = \( \frac{4 x 4}{9 x 7} \) = \( \frac{16}{63} \) = \(\frac{16}{63}\)


3

What is \( \sqrt{\frac{9}{64}} \)?

70% Answer Correctly
\(\frac{3}{8}\)
1\(\frac{1}{7}\)
1\(\frac{1}{3}\)
1\(\frac{2}{7}\)

Solution

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{9}{64}} \)
\( \frac{\sqrt{9}}{\sqrt{64}} \)
\( \frac{\sqrt{3^2}}{\sqrt{8^2}} \)
\(\frac{3}{8}\)


4

If a rectangle is twice as long as it is wide and has a perimeter of 6 meters, what is the area of the rectangle?

47% Answer Correctly
98 m2
32 m2
162 m2
2 m2

Solution

The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 6 meters so the equation becomes: 2w + 2h = 6.

Putting these two equations together and solving for width (w):

2w + 2h = 6
w + h = \( \frac{6}{2} \)
w + h = 3
w = 3 - h

From the question we know that h = 2w so substituting 2w for h gives us:

w = 3 - 2w
3w = 3
w = \( \frac{3}{3} \)
w = 1

Since h = 2w that makes h = (2 x 1) = 2 and the area = h x w = 1 x 2 = 2 m2


5

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Frank buys two shirts, each with a regular price of $20, how much money will he save?

70% Answer Correctly
$2.00
$7.00
$1.00
$3.00

Solution

By buying two shirts, Frank will save $20 x \( \frac{5}{100} \) = \( \frac{$20 x 5}{100} \) = \( \frac{$100}{100} \) = $1.00 on the second shirt.