ASVAB Arithmetic Reasoning Practice Test 741242 Results

Your Results Global Average
Questions 5 5
Correct 0 2.77
Score 0% 55%

Review

1

Which of the following is not a prime number?

65% Answer Correctly

5

9

2

7


Solution

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.


2

On average, the center for a basketball team hits 40% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 15 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?

42% Answer Correctly
15
14
18
29

Solution
If the guard hits 50% of his shots and takes 15 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{50}{100} \) = \( \frac{50 x 15}{100} \) = \( \frac{750}{100} \) = 7 shots

The center makes 40% of his shots so he'll have to take:

shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)

to make as many shots as the guard. Plugging in values for the center gives us:

center shots taken = \( \frac{7}{\frac{40}{100}} \) = 7 x \( \frac{100}{40} \) = \( \frac{7 x 100}{40} \) = \( \frac{700}{40} \) = 18 shots

to make the same number of shots as the guard and thus score the same number of points.


3

Find the average of the following numbers: 11, 5, 9, 7.

75% Answer Correctly
6
10
8
9

Solution

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

\( \frac{11 + 5 + 9 + 7}{4} \) = \( \frac{32}{4} \) = 8


4

Solve 3 + (2 + 4) ÷ 3 x 4 - 52

53% Answer Correctly
1\(\frac{2}{3}\)
-14
\(\frac{3}{5}\)
\(\frac{2}{5}\)

Solution

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

3 + (2 + 4) ÷ 3 x 4 - 52
P: 3 + (6) ÷ 3 x 4 - 52
E: 3 + 6 ÷ 3 x 4 - 25
MD: 3 + \( \frac{6}{3} \) x 4 - 25
MD: 3 + \( \frac{24}{3} \) - 25
AS: \( \frac{9}{3} \) + \( \frac{24}{3} \) - 25
AS: \( \frac{33}{3} \) - 25
AS: \( \frac{33 - 75}{3} \)
\( \frac{-42}{3} \)
-14


5

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

41% Answer Correctly
49\( \sqrt{14} \)
49\( \sqrt{7} \)
49\( \sqrt{2} \)
49\( \sqrt{9} \)

Solution

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

7\( \sqrt{7} \) x 7\( \sqrt{2} \)
(7 x 7)\( \sqrt{7 \times 2} \)
49\( \sqrt{14} \)