ASVAB Arithmetic Reasoning Practice Test 70454 Results

Your Results Global Average
Questions 5 5
Correct 0 3.54
Score 0% 71%

Review

1

Damon loaned Jennifer $300 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
$318
$315
$306
$303

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 $300
i = 0.06 x $300

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

total = $300 + $18
total = $318


2

What is -6a2 x 2a3?

75% Answer Correctly
-4a2
-12a5
-12a3
-4a5

Solution

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

-6a2 x 2a3
(-6 x 2)a(2 + 3)
-12a5


3

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Bob buys two shirts, each with a regular price of $29, how much will he pay for both shirts?

57% Answer Correctly
$47.85
$10.15
$18.85
$31.90

Solution

By buying two shirts, Bob will save $29 x \( \frac{35}{100} \) = \( \frac{$29 x 35}{100} \) = \( \frac{$1015}{100} \) = $10.15 on the second shirt.

So, his total cost will be
$29.00 + ($29.00 - $10.15)
$29.00 + $18.85
$47.85


4

What is \( \frac{3}{5} \) x \( \frac{1}{5} \)?

72% Answer Correctly
\(\frac{3}{5}\)
\(\frac{3}{25}\)
\(\frac{1}{35}\)
\(\frac{3}{32}\)

Solution

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

\( \frac{3}{5} \) x \( \frac{1}{5} \) = \( \frac{3 x 1}{5 x 5} \) = \( \frac{3}{25} \) = \(\frac{3}{25}\)


5

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

78% Answer Correctly

integer

improper fraction

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.