ASVAB Arithmetic Reasoning Practice Test 550701 Results

Your Results Global Average
Questions 5 5
Correct 0 3.68
Score 0% 74%

Review

1

How many hours does it take a car to travel 75 miles at an average speed of 25 miles per hour?

85% Answer Correctly
1 hour
3 hours
8 hours
4 hours

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 time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{75mi}{25mph} \)
3 hours


2

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Frank buys two shirts, each with a regular price of $13, how much money will he save?

70% Answer Correctly
$3.25
$0.65
$2.60
$1.30

Solution

By buying two shirts, Frank will save $13 x \( \frac{25}{100} \) = \( \frac{$13 x 25}{100} \) = \( \frac{$325}{100} \) = $3.25 on the second shirt.


3

If a car travels 440 miles in 8 hours, what is the average speed?

86% Answer Correctly
55 mph
20 mph
35 mph
70 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 = \( \frac{440mi}{8h} \)
55 mph


4

Diane scored 74% on her final exam. If each question was worth 3 points and there were 150 possible points on the exam, how many questions did Diane answer correctly?

57% Answer Correctly
25
50
37
23

Solution

Diane scored 74% on the test meaning she earned 74% of the possible points on the test. There were 150 possible points on the test so she earned 150 x 0.74 = 111 points. Each question is worth 3 points so she got \( \frac{111}{3} \) = 37 questions right.


5

What is \( \sqrt{\frac{4}{64}} \)?

70% Answer Correctly
1\(\frac{1}{8}\)
2
1\(\frac{3}{5}\)
\(\frac{1}{4}\)

Solution

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{4}{64}} \)
\( \frac{\sqrt{4}}{\sqrt{64}} \)
\( \frac{\sqrt{2^2}}{\sqrt{8^2}} \)
\(\frac{1}{4}\)