ASVAB Arithmetic Reasoning Practice Test 787179 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.17
Score	0%	63%

Review

If all of a roofing company's 4 workers are required to staff 2 roofing crews, how many workers need to be added during the busy season in order to send 7 complete crews out on jobs?

55% Answer Correctly

	10
	12
	6
	1

Solution

In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 4 workers at the company now and that's enough to staff 2 crews so there are $ \frac{4}{2} $ = 2 workers on a crew. 7 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 7 x 2 = 14 total workers to staff the crews during the busy season. The company already employs 4 workers so they need to add 14 - 4 = 10 new staff for the busy season.

A bread recipe calls for 3 cups of flour. If you only have $\frac{3}{4}$ cup, how much more flour is needed?

62% Answer Correctly

	2$\frac{1}{4}$ cups
	2$\frac{7}{8}$ cups
	1$\frac{7}{8}$ cups
	1$\frac{3}{8}$ cups

Solution

The amount of flour you need is (3 - $\frac{3}{4}$) cups. Rewrite the quantities so they share a common denominator and subtract:

($ \frac{24}{8} $ - $ \frac{6}{8} $) cups
$ \frac{18}{8} $ cups
2$\frac{1}{4}$ cups

Frank loaned April $600 at an annual interest rate of 5%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly

	$636
	$648
	$606
	$630

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = ($ \frac{6}{100} $) x $600
i = 0.05 x $600

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $600 + $30
total = $630

Convert x^-2 to remove the negative exponent.

68% Answer Correctly

	$ \frac{-2}{-x} $
	$ \frac{2}{x} $
	$ \frac{1}{x^{-2}} $
	$ \frac{1}{x^2} $

Solution

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.

Simplify $ \sqrt{32} $

62% Answer Correctly

	8$ \sqrt{2} $
	4$ \sqrt{2} $
	7$ \sqrt{2} $
	6$ \sqrt{2} $

Solution

To simplify a radical, factor out the perfect squares:

$ \sqrt{32} $
$ \sqrt{16 \times 2} $
$ \sqrt{4^2 \times 2} $
4$ \sqrt{2} $

	2\(\frac{1}{4}\) cups
	2\(\frac{7}{8}\) cups
	1\(\frac{7}{8}\) cups
	1\(\frac{3}{8}\) cups

	\( \frac{-2}{-x} \)
	\( \frac{2}{x} \)
	\( \frac{1}{x^{-2}} \)
	\( \frac{1}{x^2} \)

	8\( \sqrt{2} \)
	4\( \sqrt{2} \)
	7\( \sqrt{2} \)
	6\( \sqrt{2} \)