ASVAB Arithmetic Reasoning Practice Test 398316 Results

Your Results Global Average
Questions 5 5
Correct 0 2.95
Score 0% 59%

Review

1

Which of these numbers is a factor of 20?

68% Answer Correctly
5
2
13
20

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.


2

A bread recipe calls for 2\(\frac{1}{2}\) cups of flour. If you only have \(\frac{1}{8}\) cup, how much more flour is needed?

62% Answer Correctly
1\(\frac{1}{4}\) cups
2\(\frac{1}{4}\) cups
2\(\frac{3}{8}\) cups
2\(\frac{5}{8}\) cups

Solution

The amount of flour you need is (2\(\frac{1}{2}\) - \(\frac{1}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{20}{8} \) - \( \frac{1}{8} \)) cups
\( \frac{19}{8} \) cups
2\(\frac{3}{8}\) cups


3

If a mayor is elected with 70% of the votes cast and 76% of a town's 14,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
7,874
8,831
7,448
7,767

Solution

If 76% of the town's 14,000 voters cast ballots the number of votes cast is:

(\( \frac{76}{100} \)) x 14,000 = \( \frac{1,064,000}{100} \) = 10,640

The mayor got 70% of the votes cast which is:

(\( \frac{70}{100} \)) x 10,640 = \( \frac{744,800}{100} \) = 7,448 votes.


4

What is \( \frac{3}{7} \) x \( \frac{3}{6} \)?

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

Solution

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

\( \frac{3}{7} \) x \( \frac{3}{6} \) = \( \frac{3 x 3}{7 x 6} \) = \( \frac{9}{42} \) = \(\frac{3}{14}\)


5

What is 5\( \sqrt{8} \) x 8\( \sqrt{5} \)?

41% Answer Correctly
40\( \sqrt{8} \)
40\( \sqrt{5} \)
80\( \sqrt{10} \)
40\( \sqrt{13} \)

Solution

To multiply terms with radicals, multiply the coefficients and radicands separately:

5\( \sqrt{8} \) x 8\( \sqrt{5} \)
(5 x 8)\( \sqrt{8 \times 5} \)
40\( \sqrt{40} \)

Now we need to simplify the radical:

40\( \sqrt{40} \)
40\( \sqrt{10 \times 4} \)
40\( \sqrt{10 \times 2^2} \)
(40)(2)\( \sqrt{10} \)
80\( \sqrt{10} \)