ASVAB Arithmetic Reasoning Practice Test 78245 Results

Your Results Global Average
Questions 5 5
Correct 0 3.32
Score 0% 66%

Review

1

What is \( \frac{4}{8} \) ÷ \( \frac{2}{7} \)?

68% Answer Correctly
1\(\frac{3}{4}\)
\(\frac{4}{35}\)
\(\frac{3}{14}\)
\(\frac{2}{9}\)

Solution

To divide fractions, invert the second fraction and then multiply:

\( \frac{4}{8} \) ÷ \( \frac{2}{7} \) = \( \frac{4}{8} \) x \( \frac{7}{2} \)

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

\( \frac{4}{8} \) x \( \frac{7}{2} \) = \( \frac{4 x 7}{8 x 2} \) = \( \frac{28}{16} \) = 1\(\frac{3}{4}\)


2

Which of the following is not a prime number?

65% Answer Correctly

2

9

7

5


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.


3

On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 55% of his shots. If the guard takes 20 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
26
48
22
20

Solution
If the guard hits 55% of his shots and takes 20 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{55}{100} \) = \( \frac{55 x 20}{100} \) = \( \frac{1100}{100} \) = 11 shots

The center makes 50% 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 = \( \frac{11}{\frac{50}{100}} \) = 11 x \( \frac{100}{50} \) = \( \frac{11 x 100}{50} \) = \( \frac{1100}{50} \) = 22 shots

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


4

What is \( \frac{20\sqrt{14}}{4\sqrt{2}} \)?

71% Answer Correctly
5 \( \sqrt{7} \)
\(\frac{1}{7}\) \( \sqrt{\frac{1}{5}} \)
7 \( \sqrt{5} \)
\(\frac{1}{5}\) \( \sqrt{7} \)

Solution

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

\( \frac{20\sqrt{14}}{4\sqrt{2}} \)
\( \frac{20}{4} \) \( \sqrt{\frac{14}{2}} \)
5 \( \sqrt{7} \)


5

4! = ?

84% Answer Correctly

5 x 4 x 3 x 2 x 1

3 x 2 x 1

4 x 3 x 2 x 1

4 x 3


Solution

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.