ASVAB Arithmetic Reasoning Practice Test 7996 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.63
Score	0%	73%

Review

What is the distance in miles of a trip that takes 3 hours at an average speed of 45 miles per hour?

87% Answer Correctly

	320 miles
	135 miles
	350 miles
	195 miles

Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 45mph \times 3h \)
135 miles

On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 65% of his shots. If the guard takes 25 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

	36
	67
	57
	32

Solution

If the guard hits 65% of his shots and takes 25 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{65}{100} \) = \( \frac{65 x 25}{100} \) = \( \frac{1625}{100} \) = 16 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 = \( \frac{16}{\frac{50}{100}} \) = 16 x \( \frac{100}{50} \) = \( \frac{16 x 100}{50} \) = \( \frac{1600}{50} \) = 32 shots

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

What is (x²)³?

80% Answer Correctly

	x^-1
	x⁵
	3x²
	x⁶

Solution

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(x²)³
x^{(2 * 3)}
x⁶

Which of the following is not an integer?

77% Answer Correctly

	\({1 \over 2}\)
	1
	0
	-1

Solution

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

Find the average of the following numbers: 10, 4, 10, 4.

75% Answer Correctly

	12
	7
	6
	3

Solution

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

\( \frac{10 + 4 + 10 + 4}{4} \) = \( \frac{28}{4} \) = 7