ASVAB Arithmetic Reasoning Practice Test 616684 Results

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

Review

A bread recipe calls for 2$\frac{7}{8}$ cups of flour. If you only have $\frac{1}{2}$ cup, how much more flour is needed?

62% Answer Correctly

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

Solution

The amount of flour you need is (2$\frac{7}{8}$ - $\frac{1}{2}$) cups. Rewrite the quantities so they share a common denominator and subtract:

($ \frac{23}{8} $ - $ \frac{4}{8} $) cups
$ \frac{19}{8} $ cups
2$\frac{3}{8}$ cups

This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.

60% Answer Correctly

	distributive
	PEDMAS
	associative
	commutative

Solution

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Frank buys two shirts, each with a regular price of $25, how much will he pay for both shirts?

57% Answer Correctly

	$37.50
	$16.25
	$8.75
	$41.25

Solution

By buying two shirts, Frank will save $25 x $ \frac{35}{100} $ = $ \frac{$25 x 35}{100} $ = $ \frac{$875}{100} $ = $8.75 on the second shirt.

So, his total cost will be
$25.00 + ($25.00 - $8.75)
$25.00 + $16.25
$41.25

Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 16 small cakes per hour. The kitchen is available for 3 hours and 32 large cakes and 300 small cakes need to be baked.

How many cooks are required to bake the required number of cakes during the time the kitchen is available?

41% Answer Correctly

	11
	7
	14
	13

Solution

If a single cook can bake 3 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 3 x 3 = 9 large cakes during that time. 32 large cakes are needed for the party so $ \frac{32}{9} $ = 3$\frac{5}{9}$ cooks are needed to bake the required number of large cakes.

If a single cook can bake 16 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 16 x 3 = 48 small cakes during that time. 300 small cakes are needed for the party so $ \frac{300}{48} $ = 6$\frac{1}{4}$ cooks are needed to bake the required number of small cakes.

Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 4 + 7 = 11 cooks.

A circular logo is enlarged to fit the lid of a jar. The new diameter is 75% larger than the original. By what percentage has the area of the logo increased?

51% Answer Correctly

	37$\frac{1}{2}$%
	20%
	22$\frac{1}{2}$%
	15%

Solution

The area of a circle is given by the formula A = πr² where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π($ \frac{d}{2} $)². If the diameter of the logo increases by 75% the radius (and, consequently, the total area) increases by $ \frac{75\text{%}}{2} $ = 37$\frac{1}{2}$%

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

	37\(\frac{1}{2}\)%
	20%
	22\(\frac{1}{2}\)%
	15%