ASVAB Arithmetic Reasoning Practice Test 110142 Results

Your Results Global Average
Questions 5 5
Correct 0 3.35
Score 0% 67%

Review

1

What is \( \frac{1}{9} \) ÷ \( \frac{1}{8} \)?

68% Answer Correctly
\(\frac{1}{7}\)
8
\(\frac{1}{10}\)
\(\frac{8}{9}\)

Solution

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

\( \frac{1}{9} \) ÷ \( \frac{1}{8} \) = \( \frac{1}{9} \) x \( \frac{8}{1} \)

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

\( \frac{1}{9} \) x \( \frac{8}{1} \) = \( \frac{1 x 8}{9 x 1} \) = \( \frac{8}{9} \) = \(\frac{8}{9}\)


2

If a mayor is elected with 82% of the votes cast and 42% of a town's 50,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
11,340
18,690
17,220
18,270

Solution

If 42% of the town's 50,000 voters cast ballots the number of votes cast is:

(\( \frac{42}{100} \)) x 50,000 = \( \frac{2,100,000}{100} \) = 21,000

The mayor got 82% of the votes cast which is:

(\( \frac{82}{100} \)) x 21,000 = \( \frac{1,722,000}{100} \) = 17,220 votes.


3

How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 15 gallon tank to fill it exactly halfway?

52% Answer Correctly
5
5
4
9

Solution

To fill a 15 gallon tank exactly halfway you'll need 7\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:

cans = \( \frac{7\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 5


4

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

78% Answer Correctly

fraction

integer

improper fraction

mixed number


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.


5

If a car travels 150 miles in 3 hours, what is the average speed?

86% Answer Correctly
25 mph
50 mph
75 mph
45 mph

Solution

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

speed = \( \frac{\text{distance}}{\text{time}} \)
speed = \( \frac{150mi}{3h} \)
50 mph