ASVAB Arithmetic Reasoning Practice Test 531690 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.78
Score	0%	56%

Review

53% Answer Correctly

	0.2
	5.6
	1
	2.7

Solution

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

	greatest common factor
	absolute value
	greatest common multiple
	least common multiple

Solution

The greatest common factor (GCF) is the greatest factor that divides two integers.

Convert 8,937,000 to scientific notation.

63% Answer Correctly

	8.937 x 10^-6
	8.937 x 10⁶
	8.937 x 10⁵
	89.37 x 10⁵

Solution

A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

8,937,000 in scientific notation is 8.937 x 10⁶

On average, the center for a basketball team hits 35% of his shots while a guard on the same team hits 50% 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

	34
	43
	20
	55

Solution

If the guard hits 50% of his shots and takes 25 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{50}{100} \) = \( \frac{50 x 25}{100} \) = \( \frac{1250}{100} \) = 12 shots

The center makes 35% 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 = \( \frac{12}{\frac{35}{100}} \) = 12 x \( \frac{100}{35} \) = \( \frac{12 x 100}{35} \) = \( \frac{1200}{35} \) = 34 shots

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

If the ratio of home fans to visiting fans in a crowd is 4:1 and all 43,000 seats in a stadium are filled, how many home fans are in attendance?

49% Answer Correctly

	26,000
	34,400
	29,333
	25,333

Solution

A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:

43,000 fans x \( \frac{4}{5} \) = \( \frac{172000}{5} \) = 34,400 fans.