ASVAB Arithmetic Reasoning Practice Test 51438 Results

Your Results Global Average
Questions 5 5
Correct 0 3.41
Score 0% 68%

Review

1

What is \( \frac{-9z^9}{4z^4} \)?

60% Answer Correctly
-\(\frac{4}{9}\)z5
-2\(\frac{1}{4}\)z5
-2\(\frac{1}{4}\)z\(\frac{4}{9}\)
-2\(\frac{1}{4}\)z36

Solution

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-9z^9}{4z^4} \)
\( \frac{-9}{4} \) z(9 - 4)
-2\(\frac{1}{4}\)z5


2

A factor is a positive __________ that divides evenly into a given number.

78% Answer Correctly

improper fraction

mixed number

integer

fraction


Solution

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.


3

If all of a roofing company's 16 workers are required to staff 4 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
18
16
12
10

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 16 workers at the company now and that's enough to staff 4 crews so there are \( \frac{16}{4} \) = 4 workers on a crew. 8 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 8 x 4 = 32 total workers to staff the crews during the busy season. The company already employs 16 workers so they need to add 32 - 16 = 16 new staff for the busy season.


4

17 members of a bridal party need transported to a wedding reception but there are only 3 4-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
5
7
4
1

Solution

There are 3 4-passenger taxis available so that's 3 x 4 = 12 total seats. There are 17 people needing transportation leaving 17 - 12 = 5 who will have to find other transportation.


5

What is \( \frac{2}{5} \) x \( \frac{3}{9} \)?

72% Answer Correctly
\(\frac{4}{21}\)
\(\frac{1}{24}\)
\(\frac{1}{18}\)
\(\frac{2}{15}\)

Solution

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

\( \frac{2}{5} \) x \( \frac{3}{9} \) = \( \frac{2 x 3}{5 x 9} \) = \( \frac{6}{45} \) = \(\frac{2}{15}\)