ASVAB Arithmetic Reasoning Practice Test 787879 Results

Your Results Global Average
Questions 5 5
Correct 0 2.91
Score 0% 58%

Review

1

Find the average of the following numbers: 16, 12, 18, 10.

75% Answer Correctly
10
13
16
14

Solution

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

\( \frac{16 + 12 + 18 + 10}{4} \) = \( \frac{56}{4} \) = 14


2

What is \( 8 \)\( \sqrt{75} \) + \( 4 \)\( \sqrt{3} \)

35% Answer Correctly
12\( \sqrt{25} \)
12\( \sqrt{75} \)
12\( \sqrt{225} \)
44\( \sqrt{3} \)

Solution

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

8\( \sqrt{75} \) + 4\( \sqrt{3} \)
8\( \sqrt{25 \times 3} \) + 4\( \sqrt{3} \)
8\( \sqrt{5^2 \times 3} \) + 4\( \sqrt{3} \)
(8)(5)\( \sqrt{3} \) + 4\( \sqrt{3} \)
40\( \sqrt{3} \) + 4\( \sqrt{3} \)

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

40\( \sqrt{3} \) + 4\( \sqrt{3} \)
(40 + 4)\( \sqrt{3} \)
44\( \sqrt{3} \)


3

What is \( \sqrt{\frac{9}{25}} \)?

70% Answer Correctly
\(\frac{3}{5}\)
\(\frac{2}{7}\)
\(\frac{4}{7}\)
\(\frac{2}{3}\)

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:

\( \sqrt{\frac{9}{25}} \)
\( \frac{\sqrt{9}}{\sqrt{25}} \)
\( \frac{\sqrt{3^2}}{\sqrt{5^2}} \)
\(\frac{3}{5}\)


4

This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.

60% Answer Correctly

distributive

PEDMAS

associative

commutative


Solution

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.


5

How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 10 gallon tank to fill it exactly halfway?

52% Answer Correctly
8
2
4
2

Solution

To fill a 10 gallon tank exactly halfway you'll need 5 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:

cans = \( \frac{5 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 2