ASVAB Arithmetic Reasoning Practice Test 412352 Results

Your Results Global Average
Questions 5 5
Correct 0 3.05
Score 0% 61%

Review

1

What is \( \sqrt{\frac{4}{16}} \)?

70% Answer Correctly
\(\frac{3}{7}\)
1\(\frac{1}{2}\)
\(\frac{1}{2}\)
\(\frac{5}{6}\)

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:

\( \sqrt{\frac{4}{16}} \)
\( \frac{\sqrt{4}}{\sqrt{16}} \)
\( \frac{\sqrt{2^2}}{\sqrt{4^2}} \)
\(\frac{1}{2}\)


2

On average, the center for a basketball team hits 25% of his shots while a guard on the same team hits 40% of his shots. If the guard takes 10 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?

42% Answer Correctly
16
8
7
9

Solution
If the guard hits 40% of his shots and takes 10 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{40}{100} \) = \( \frac{40 x 10}{100} \) = \( \frac{400}{100} \) = 4 shots

The center makes 25% of his shots so he'll have to take:

shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)

to make as many shots as the guard. Plugging in values for the center gives us:

center shots taken = \( \frac{4}{\frac{25}{100}} \) = 4 x \( \frac{100}{25} \) = \( \frac{4 x 100}{25} \) = \( \frac{400}{25} \) = 16 shots

to make the same number of shots as the guard and thus score the same number of points.


3

Find the average of the following numbers: 14, 12, 16, 10.

75% Answer Correctly
10
17
12
13

Solution

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{14 + 12 + 16 + 10}{4} \) = \( \frac{52}{4} \) = 13


4

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Ezra buys two shirts, each with a regular price of $41, how much will he pay for both shirts?

57% Answer Correctly
$18.45
$63.55
$55.35
$45.10

Solution

By buying two shirts, Ezra will save $41 x \( \frac{45}{100} \) = \( \frac{$41 x 45}{100} \) = \( \frac{$1845}{100} \) = $18.45 on the second shirt.

So, his total cost will be
$41.00 + ($41.00 - $18.45)
$41.00 + $22.55
$63.55


5

If there were a total of 300 raffle tickets sold and you bought 18 tickets, what's the probability that you'll win the raffle?

60% Answer Correctly
6%
19%
14%
11%

Solution

You have 18 out of the total of 300 raffle tickets sold so you have a (\( \frac{18}{300} \)) x 100 = \( \frac{18 \times 100}{300} \) = \( \frac{1800}{300} \) = 6% chance to win the raffle.