ASVAB Arithmetic Reasoning Practice Test 813299 Results

Your Results Global Average
Questions 5 5
Correct 0 2.89
Score 0% 58%

Review

1

Ezra loaned Jennifer $400 at an annual interest rate of 6%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$436
$424
$420
$432

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $400
i = 0.06 x $400

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $400 + $24
total = $424


2

What is \( \frac{1}{6} \) x \( \frac{1}{5} \)?

72% Answer Correctly
\(\frac{1}{6}\)
\(\frac{1}{21}\)
\(\frac{8}{21}\)
\(\frac{1}{30}\)

Solution

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

\( \frac{1}{6} \) x \( \frac{1}{5} \) = \( \frac{1 x 1}{6 x 5} \) = \( \frac{1}{30} \) = \(\frac{1}{30}\)


3

What is \( \frac{6a^6}{1a^3} \)?

60% Answer Correctly
6a9
\(\frac{1}{6}\)a9
6a3
6a2

Solution

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{6a^6}{a^3} \)
\( \frac{6}{1} \) a(6 - 3)
6a3


4

What is \( 3 \)\( \sqrt{112} \) + \( 9 \)\( \sqrt{7} \)

35% Answer Correctly
12\( \sqrt{784} \)
12\( \sqrt{7} \)
21\( \sqrt{7} \)
27\( \sqrt{112} \)

Solution

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

3\( \sqrt{112} \) + 9\( \sqrt{7} \)
3\( \sqrt{16 \times 7} \) + 9\( \sqrt{7} \)
3\( \sqrt{4^2 \times 7} \) + 9\( \sqrt{7} \)
(3)(4)\( \sqrt{7} \) + 9\( \sqrt{7} \)
12\( \sqrt{7} \) + 9\( \sqrt{7} \)

Now that the radicands are identical, you can add them together:

12\( \sqrt{7} \) + 9\( \sqrt{7} \)
(12 + 9)\( \sqrt{7} \)
21\( \sqrt{7} \)


5

If a mayor is elected with 60% of the votes cast and 79% of a town's 33,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
21,377
15,642
22,681
16,685

Solution

If 79% of the town's 33,000 voters cast ballots the number of votes cast is:

(\( \frac{79}{100} \)) x 33,000 = \( \frac{2,607,000}{100} \) = 26,070

The mayor got 60% of the votes cast which is:

(\( \frac{60}{100} \)) x 26,070 = \( \frac{1,564,200}{100} \) = 15,642 votes.