ASVAB Arithmetic Reasoning Practice Test 527975 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.70
Score	0%	54%

Review

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Charlie buys two shirts, each with a regular price of $44, how much will he pay for both shirts?

57% Answer Correctly

	$52.80
	$6.60
	$61.60
	$81.40

Solution

By buying two shirts, Charlie will save $44 x $ \frac{15}{100} $ = $ \frac{$44 x 15}{100} $ = $ \frac{$660}{100} $ = $6.60 on the second shirt.

So, his total cost will be
$44.00 + ($44.00 - $6.60)
$44.00 + $37.40
$81.40

Simplify $ \sqrt{18} $

62% Answer Correctly

	7$ \sqrt{2} $
	2$ \sqrt{4} $
	5$ \sqrt{2} $
	3$ \sqrt{2} $

Solution

To simplify a radical, factor out the perfect squares:

$ \sqrt{18} $
$ \sqrt{9 \times 2} $
$ \sqrt{3^2 \times 2} $
3$ \sqrt{2} $

What is $ 5 $$ \sqrt{125} $ - $ 9 $$ \sqrt{5} $

39% Answer Correctly

	-4$ \sqrt{625} $
	16$ \sqrt{5} $
	45$ \sqrt{625} $
	-4$ \sqrt{0} $

Solution

To subtract these radicals together their radicands must be the same:

5$ \sqrt{125} $ - 9$ \sqrt{5} $
5$ \sqrt{25 \times 5} $ - 9$ \sqrt{5} $
5$ \sqrt{5^2 \times 5} $ - 9$ \sqrt{5} $
(5)(5)$ \sqrt{5} $ - 9$ \sqrt{5} $
25$ \sqrt{5} $ - 9$ \sqrt{5} $

Now that the radicands are identical, you can subtract them:

25$ \sqrt{5} $ - 9$ \sqrt{5} $
(25 - 9)$ \sqrt{5} $
16$ \sqrt{5} $

On average, the center for a basketball team hits 35% of his shots while a guard on the same team hits 45% of his shots. If the guard takes 20 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

	26
	31
	21
	25

Solution

If the guard hits 45% of his shots and takes 20 shots he'll make:

guard shots made = shots taken x $ \frac{\text{% made}}{100} $ = 20 x $ \frac{45}{100} $ = $ \frac{45 x 20}{100} $ = $ \frac{900}{100} $ = 9 shots

The center makes 35% 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{9}{\frac{35}{100}} $ = 9 x $ \frac{100}{35} $ = $ \frac{9 x 100}{35} $ = $ \frac{900}{35} $ = 26 shots

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

What is $ \frac{1}{8} $ ÷ $ \frac{2}{8} $?

68% Answer Correctly

	$\frac{8}{45}$
	$\frac{4}{27}$
	$\frac{1}{2}$
	$\frac{1}{24}$

Solution

To divide fractions, invert the second fraction and then multiply:

$ \frac{1}{8} $ ÷ $ \frac{2}{8} $ = $ \frac{1}{8} $ x $ \frac{8}{2} $

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

$ \frac{1}{8} $ x $ \frac{8}{2} $ = $ \frac{1 x 8}{8 x 2} $ = $ \frac{8}{16} $ = $\frac{1}{2}$

	7\( \sqrt{2} \)
	2\( \sqrt{4} \)
	5\( \sqrt{2} \)
	3\( \sqrt{2} \)

	-4\( \sqrt{625} \)
	16\( \sqrt{5} \)
	45\( \sqrt{625} \)
	-4\( \sqrt{0} \)

	\(\frac{8}{45}\)
	\(\frac{4}{27}\)
	\(\frac{1}{2}\)
	\(\frac{1}{24}\)