ASVAB Arithmetic Reasoning Practice Test 663001 Results

Your Results Global Average
Questions 5 5
Correct 0 3.44
Score 0% 69%

Review

1

What is \( \sqrt{\frac{16}{25}} \)?

70% Answer Correctly
\(\frac{4}{5}\)
1\(\frac{4}{5}\)
\(\frac{3}{4}\)
4

Solution

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{16}{25}} \)
\( \frac{\sqrt{16}}{\sqrt{25}} \)
\( \frac{\sqrt{4^2}}{\sqrt{5^2}} \)
\(\frac{4}{5}\)


2

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Monty buys two shirts, each with a regular price of $16, how much money will he save?

70% Answer Correctly
$7.20
$5.60
$3.20
$4.00

Solution

By buying two shirts, Monty will save $16 x \( \frac{20}{100} \) = \( \frac{$16 x 20}{100} \) = \( \frac{$320}{100} \) = $3.20 on the second shirt.


3

If \( \left|a - 6\right| \) - 8 = -2, which of these is a possible value for a?

62% Answer Correctly
0
5
-12
-7

Solution

First, solve for \( \left|a - 6\right| \):

\( \left|a - 6\right| \) - 8 = -2
\( \left|a - 6\right| \) = -2 + 8
\( \left|a - 6\right| \) = 6

The value inside the absolute value brackets can be either positive or negative so (a - 6) must equal + 6 or -6 for \( \left|a - 6\right| \) to equal 6:

a - 6 = 6
a = 6 + 6
a = 12
a - 6 = -6
a = -6 + 6
a = 0

So, a = 0 or a = 12.


4

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

78% Answer Correctly

improper fraction

fraction

mixed number

integer


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.


5

Convert 6,189,000 to scientific notation.

62% Answer Correctly
6.189 x 106
0.619 x 107
6.189 x 10-5
6.189 x 10-6

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:

6,189,000 in scientific notation is 6.189 x 106