ASVAB Arithmetic Reasoning Practice Test 337375 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.36
Score	0%	67%

Review

What is the distance in miles of a trip that takes 9 hours at an average speed of 40 miles per hour?

86% Answer Correctly

	200 miles
	360 miles
	100 miles
	45 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 = \( 40mph \times 9h \)
360 miles

What is (a²)⁵?

79% Answer Correctly

	a³
	a⁷
	2a⁵
	a¹⁰

Solution

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

(a²)⁵
a^{(2 * 5)}
a¹⁰

What is \( \frac{12\sqrt{45}}{6\sqrt{9}} \)?

71% Answer Correctly

	5 \( \sqrt{2} \)
	2 \( \sqrt{5} \)
	5 \( \sqrt{\frac{1}{2}} \)
	\(\frac{1}{5}\) \( \sqrt{2} \)

Solution

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

\( \frac{12\sqrt{45}}{6\sqrt{9}} \)
\( \frac{12}{6} \) \( \sqrt{\frac{45}{9}} \)
2 \( \sqrt{5} \)

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 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

	19
	21
	29
	16

Solution

If the guard hits 55% of his shots and takes 15 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{55}{100} \) = \( \frac{55 x 15}{100} \) = \( \frac{825}{100} \) = 8 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 = \( \frac{8}{\frac{50}{100}} \) = 8 x \( \frac{100}{50} \) = \( \frac{8 x 100}{50} \) = \( \frac{800}{50} \) = 16 shots

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

A tiger in a zoo has consumed 90 pounds of food in 9 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 120 pounds?

56% Answer Correctly

	4
	3
	8
	12

Solution

If the tiger has consumed 90 pounds of food in 9 days that's \( \frac{90}{9} \) = 10 pounds of food per day. The tiger needs to consume 120 - 90 = 30 more pounds of food to reach 120 pounds total. At 10 pounds of food per day that's \( \frac{30}{10} \) = 3 more days.