ASVAB Arithmetic Reasoning Practice Test 516074 Results

Your Results Global Average
Questions 5 5
Correct 0 3.39
Score 0% 68%

Review

1

Which of these numbers is a factor of 40?

69% Answer Correctly
6
20
26
42

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.


2

A factor is a positive __________ that divides evenly into a given number.

78% Answer Correctly

improper fraction

fraction

integer

mixed number


Solution

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.


3

What is \( \frac{-9z^8}{4z^3} \)?

60% Answer Correctly
-\(\frac{4}{9}\)z-5
-2\(\frac{1}{4}\)z5
-2\(\frac{1}{4}\)z24
-2\(\frac{1}{4}\)z\(\frac{3}{8}\)

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:

\( \frac{-9z^8}{4z^3} \)
\( \frac{-9}{4} \) z(8 - 3)
-2\(\frac{1}{4}\)z5


4

A bread recipe calls for 2\(\frac{3}{4}\) cups of flour. If you only have 1\(\frac{1}{4}\) cups, how much more flour is needed?

62% Answer Correctly
1\(\frac{7}{8}\) cups
1\(\frac{1}{2}\) cups
2\(\frac{3}{8}\) cups
1\(\frac{5}{8}\) cups

Solution

The amount of flour you need is (2\(\frac{3}{4}\) - 1\(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{22}{8} \) - \( \frac{10}{8} \)) cups
\( \frac{12}{8} \) cups
1\(\frac{1}{2}\) cups


5

Convert b-4 to remove the negative exponent.

68% Answer Correctly
\( \frac{-4}{b} \)
\( \frac{1}{b^{-4}} \)
\( \frac{-1}{b^{-4}} \)
\( \frac{1}{b^4} \)

Solution

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.