ASVAB Arithmetic Reasoning Practice Test 749199 Results

Your Results Global Average
Questions 5 5
Correct 0 3.15
Score 0% 63%

Review

1

Find the average of the following numbers: 11, 7, 12, 6.

74% Answer Correctly
9
7
8
12

Solution

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

\( \frac{11 + 7 + 12 + 6}{4} \) = \( \frac{36}{4} \) = 9


2

4! = ?

84% Answer Correctly

3 x 2 x 1

5 x 4 x 3 x 2 x 1

4 x 3

4 x 3 x 2 x 1


Solution

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.


3

A bread recipe calls for 2\(\frac{5}{8}\) cups of flour. If you only have 1\(\frac{3}{8}\) cups, how much more flour is needed?

62% Answer Correctly
2\(\frac{5}{8}\) cups
1\(\frac{1}{2}\) cups
1\(\frac{1}{4}\) cups
1\(\frac{3}{4}\) cups

Solution

The amount of flour you need is (2\(\frac{5}{8}\) - 1\(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{21}{8} \) - \( \frac{11}{8} \)) cups
\( \frac{10}{8} \) cups
1\(\frac{1}{4}\) cups


4

What is \( 6 \)\( \sqrt{12} \) - \( 2 \)\( \sqrt{3} \)

38% Answer Correctly
4\( \sqrt{12} \)
4\( \sqrt{36} \)
10\( \sqrt{3} \)
4\( \sqrt{5} \)

Solution

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

6\( \sqrt{12} \) - 2\( \sqrt{3} \)
6\( \sqrt{4 \times 3} \) - 2\( \sqrt{3} \)
6\( \sqrt{2^2 \times 3} \) - 2\( \sqrt{3} \)
(6)(2)\( \sqrt{3} \) - 2\( \sqrt{3} \)
12\( \sqrt{3} \) - 2\( \sqrt{3} \)

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

12\( \sqrt{3} \) - 2\( \sqrt{3} \)
(12 - 2)\( \sqrt{3} \)
10\( \sqrt{3} \)


5

If all of a roofing company's 12 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 6 complete crews out on jobs?

55% Answer Correctly
12
9
10
11

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 12 workers at the company now and that's enough to staff 3 crews so there are \( \frac{12}{3} \) = 4 workers on a crew. 6 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 6 x 4 = 24 total workers to staff the crews during the busy season. The company already employs 12 workers so they need to add 24 - 12 = 12 new staff for the busy season.