ASVAB Arithmetic Reasoning Practice Test 88317 Results

Your Results Global Average
Questions 5 5
Correct 0 3.46
Score 0% 69%

Review

1

What is \( \frac{1}{5} \) ÷ \( \frac{4}{8} \)?

68% Answer Correctly
1\(\frac{3}{5}\)
\(\frac{4}{21}\)
\(\frac{2}{5}\)
\(\frac{3}{40}\)

Solution

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

\( \frac{1}{5} \) ÷ \( \frac{4}{8} \) = \( \frac{1}{5} \) x \( \frac{8}{4} \)

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

\( \frac{1}{5} \) x \( \frac{8}{4} \) = \( \frac{1 x 8}{5 x 4} \) = \( \frac{8}{20} \) = \(\frac{2}{5}\)


2

If all of a roofing company's 9 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 8 complete crews out on jobs?

55% Answer Correctly
9
5
15
19

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 9 workers at the company now and that's enough to staff 3 crews so there are \( \frac{9}{3} \) = 3 workers on a crew. 8 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 8 x 3 = 24 total workers to staff the crews during the busy season. The company already employs 9 workers so they need to add 24 - 9 = 15 new staff for the busy season.


3

Which of the following is not a prime number?

65% Answer Correctly

5

2

7

9


Solution

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.


4

What is the distance in miles of a trip that takes 7 hours at an average speed of 75 miles per hour?

87% Answer Correctly
495 miles
525 miles
560 miles
30 miles

Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 75mph \times 7h \)
525 miles


5

Roger loaned Frank $1,100 at an annual interest rate of 3%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly
$21
$48
$99
$33

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 $1,100
i = 0.03 x $1,100
i = $33