ASVAB Arithmetic Reasoning Practice Test 628874 Results

Your Results Global Average
Questions 5 5
Correct 0 3.03
Score 0% 61%

Review

1

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 7 complete crews out on jobs?

55% Answer Correctly
12
9
8
15

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. 7 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 7 x 3 = 21 total workers to staff the crews during the busy season. The company already employs 9 workers so they need to add 21 - 9 = 12 new staff for the busy season.


2

What is \( \frac{2}{5} \) x \( \frac{2}{8} \)?

72% Answer Correctly
\(\frac{4}{63}\)
\(\frac{1}{10}\)
\(\frac{1}{64}\)
\(\frac{1}{2}\)

Solution

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

\( \frac{2}{5} \) x \( \frac{2}{8} \) = \( \frac{2 x 2}{5 x 8} \) = \( \frac{4}{40} \) = \(\frac{1}{10}\)


3

A circular logo is enlarged to fit the lid of a jar. The new diameter is 35% larger than the original. By what percentage has the area of the logo increased?

51% Answer Correctly
20%
17\(\frac{1}{2}\)%
32\(\frac{1}{2}\)%
37\(\frac{1}{2}\)%

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 35% the radius (and, consequently, the total area) increases by \( \frac{35\text{%}}{2} \) = 17\(\frac{1}{2}\)%


4

Which of the following statements about exponents is false?

47% Answer Correctly

all of these are false

b1 = b

b1 = 1

b0 = 1


Solution

A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).


5

What is (z4)3?

80% Answer Correctly
z12
z-1
4z3
z

Solution

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(z4)3
z(4 * 3)
z12