ASVAB Arithmetic Reasoning Practice Test 9442 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.02
Score	0%	60%

Review

What is 3x⁶ - 2x⁶?

71% Answer Correctly

	5x³⁶
	x⁶
	5x⁶
	5x^-12

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

3x⁶ - 2x⁶
(3 - 2)x⁶
x⁶

If the ratio of home fans to visiting fans in a crowd is 2:1 and all 45,000 seats in a stadium are filled, how many home fans are in attendance?

50% Answer Correctly

	26,250
	28,800
	40,000
	30,000

Solution

A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:

45,000 fans x \( \frac{2}{3} \) = \( \frac{90000}{3} \) = 30,000 fans.

What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?

69% Answer Correctly

	28
	36
	31
	33

Solution

The equation for this sequence is:

a_n = a_n-1 + 2(n - 1)

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 2(6 - 1)
a₆ = 21 + 2(5)
a₆ = 31

On average, the center for a basketball team hits 45% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 30 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

	31
	52
	33
	60

Solution

If the guard hits 50% of his shots and takes 30 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{50}{100} \) = \( \frac{50 x 30}{100} \) = \( \frac{1500}{100} \) = 15 shots

The center makes 45% 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 = \( \frac{15}{\frac{45}{100}} \) = 15 x \( \frac{100}{45} \) = \( \frac{15 x 100}{45} \) = \( \frac{1500}{45} \) = 33 shots

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

Which of these numbers is a factor of 64?

68% Answer Correctly

	4
	31
	57
	29

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 64 are 1, 2, 4, 8, 16, 32, 64.