ASVAB Arithmetic Reasoning Practice Test 501003 Results

Your Results Global Average
Questions 5 5
Correct 0 3.32
Score 0% 66%

Review

1

How many hours does it take a car to travel 220 miles at an average speed of 55 miles per hour?

86% Answer Correctly
3 hours
5 hours
4 hours
6 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 = \( \frac{220mi}{55mph} \)
4 hours


2

4! = ?

85% Answer Correctly

4 x 3

3 x 2 x 1

4 x 3 x 2 x 1

5 x 4 x 3 x 2 x 1


Solution

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.


3

What is \( 2 \)\( \sqrt{48} \) - \( 6 \)\( \sqrt{3} \)

38% Answer Correctly
-4\( \sqrt{48} \)
-4\( \sqrt{-7} \)
2\( \sqrt{3} \)
12\( \sqrt{3} \)

Solution

To subtract these radicals together their radicands must be the same:

2\( \sqrt{48} \) - 6\( \sqrt{3} \)
2\( \sqrt{16 \times 3} \) - 6\( \sqrt{3} \)
2\( \sqrt{4^2 \times 3} \) - 6\( \sqrt{3} \)
(2)(4)\( \sqrt{3} \) - 6\( \sqrt{3} \)
8\( \sqrt{3} \) - 6\( \sqrt{3} \)

Now that the radicands are identical, you can subtract them:

8\( \sqrt{3} \) - 6\( \sqrt{3} \)
(8 - 6)\( \sqrt{3} \)
2\( \sqrt{3} \)


4

If a mayor is elected with 56% of the votes cast and 54% of a town's 25,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
10,665
7,560
7,965
11,475

Solution

If 54% of the town's 25,000 voters cast ballots the number of votes cast is:

(\( \frac{54}{100} \)) x 25,000 = \( \frac{1,350,000}{100} \) = 13,500

The mayor got 56% of the votes cast which is:

(\( \frac{56}{100} \)) x 13,500 = \( \frac{756,000}{100} \) = 7,560 votes.


5

What is \( \frac{2}{9} \) x \( \frac{1}{6} \)?

72% Answer Correctly
\(\frac{2}{9}\)
\(\frac{3}{14}\)
\(\frac{1}{27}\)
\(\frac{1}{12}\)

Solution

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

\( \frac{2}{9} \) x \( \frac{1}{6} \) = \( \frac{2 x 1}{9 x 6} \) = \( \frac{2}{54} \) = \(\frac{1}{27}\)