ASVAB Arithmetic Reasoning Practice Test 236476 Results

Your Results Global Average
Questions 5 5
Correct 0 3.25
Score 0% 65%

Review

1

What is \( \frac{-8x^8}{3x^3} \)?

60% Answer Correctly
-2\(\frac{2}{3}\)x11
-2\(\frac{2}{3}\)x5
-2\(\frac{2}{3}\)x24
-\(\frac{3}{8}\)x5

Solution

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-8x^8}{3x^3} \)
\( \frac{-8}{3} \) x(8 - 3)
-2\(\frac{2}{3}\)x5


2

What is \( \frac{2}{7} \) ÷ \( \frac{4}{6} \)?

68% Answer Correctly
\(\frac{1}{12}\)
\(\frac{3}{7}\)
\(\frac{1}{27}\)
\(\frac{1}{9}\)

Solution

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

\( \frac{2}{7} \) ÷ \( \frac{4}{6} \) = \( \frac{2}{7} \) x \( \frac{6}{4} \)

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

\( \frac{2}{7} \) x \( \frac{6}{4} \) = \( \frac{2 x 6}{7 x 4} \) = \( \frac{12}{28} \) = \(\frac{3}{7}\)


3

What is the greatest common factor of 44 and 20?

77% Answer Correctly
3
12
4
11

Solution

The factors of 44 are [1, 2, 4, 11, 22, 44] and the factors of 20 are [1, 2, 4, 5, 10, 20]. They share 3 factors [1, 2, 4] making 4 the greatest factor 44 and 20 have in common.


4

Find the average of the following numbers: 14, 8, 13, 9.

75% Answer Correctly
11
9
14
16

Solution

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

\( \frac{14 + 8 + 13 + 9}{4} \) = \( \frac{44}{4} \) = 11


5

Which of the following statements about exponents is false?

47% Answer Correctly

all of these are false

b1 = b

b1 = 1

b0 = 1


Solution

A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).