ASVAB Arithmetic Reasoning Practice Test 301618 Results

Your Results Global Average
Questions 5 5
Correct 0 2.88
Score 0% 58%

Review

1

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Charlie buys two shirts, each with a regular price of $10, how much will he pay for both shirts?

57% Answer Correctly
$12.00
$11.50
$1.50
$18.50

Solution

By buying two shirts, Charlie will save $10 x \( \frac{15}{100} \) = \( \frac{$10 x 15}{100} \) = \( \frac{$150}{100} \) = $1.50 on the second shirt.

So, his total cost will be
$10.00 + ($10.00 - $1.50)
$10.00 + $8.50
$18.50


2

Solve 3 + (3 + 5) ÷ 3 x 2 - 42

53% Answer Correctly
2\(\frac{1}{3}\)
-7\(\frac{2}{3}\)
\(\frac{2}{9}\)
\(\frac{3}{8}\)

Solution

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

3 + (3 + 5) ÷ 3 x 2 - 42
P: 3 + (8) ÷ 3 x 2 - 42
E: 3 + 8 ÷ 3 x 2 - 16
MD: 3 + \( \frac{8}{3} \) x 2 - 16
MD: 3 + \( \frac{16}{3} \) - 16
AS: \( \frac{9}{3} \) + \( \frac{16}{3} \) - 16
AS: \( \frac{25}{3} \) - 16
AS: \( \frac{25 - 48}{3} \)
\( \frac{-23}{3} \)
-7\(\frac{2}{3}\)


3

What is 7\( \sqrt{2} \) x 9\( \sqrt{4} \)?

41% Answer Correctly
16\( \sqrt{8} \)
126\( \sqrt{2} \)
16\( \sqrt{2} \)
16\( \sqrt{4} \)

Solution

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

7\( \sqrt{2} \) x 9\( \sqrt{4} \)
(7 x 9)\( \sqrt{2 \times 4} \)
63\( \sqrt{8} \)

Now we need to simplify the radical:

63\( \sqrt{8} \)
63\( \sqrt{2 \times 4} \)
63\( \sqrt{2 \times 2^2} \)
(63)(2)\( \sqrt{2} \)
126\( \sqrt{2} \)


4

Convert 0.0008325 to scientific notation.

64% Answer Correctly
83.25 x 10-5
8.325 x 10-3
8.325 x 104
8.325 x 10-4

Solution

A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

0.0008325 in scientific notation is 8.325 x 10-4


5

Find the average of the following numbers: 8, 6, 9, 5.

75% Answer Correctly
10
5
8
7

Solution

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{8 + 6 + 9 + 5}{4} \) = \( \frac{28}{4} \) = 7