ASVAB Arithmetic Reasoning Practice Test 811213 Results

Your Results Global Average
Questions 5 5
Correct 0 3.20
Score 0% 64%

Review

1

April scored 93% on her final exam. If each question was worth 4 points and there were 160 possible points on the exam, how many questions did April answer correctly?

57% Answer Correctly
37
23
27
33

Solution

April scored 93% on the test meaning she earned 93% of the possible points on the test. There were 160 possible points on the test so she earned 160 x 0.93 = 148 points. Each question is worth 4 points so she got \( \frac{148}{4} \) = 37 questions right.


2

Which of the following statements about exponents is false?

47% Answer Correctly

b1 = 1

b0 = 1

b1 = b

all of these are false


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).


3

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

78% Answer Correctly

fraction

mixed number

integer

improper fraction


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.


4

If \(\left|a\right| = 7\), which of the following best describes a?

67% Answer Correctly

none of these is correct

a = 7 or a = -7

a = -7

a = 7


Solution

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).


5

What is \( \frac{42\sqrt{15}}{6\sqrt{3}} \)?

71% Answer Correctly
\(\frac{1}{5}\) \( \sqrt{\frac{1}{7}} \)
\(\frac{1}{5}\) \( \sqrt{7} \)
\(\frac{1}{7}\) \( \sqrt{5} \)
7 \( \sqrt{5} \)

Solution

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

\( \frac{42\sqrt{15}}{6\sqrt{3}} \)
\( \frac{42}{6} \) \( \sqrt{\frac{15}{3}} \)
7 \( \sqrt{5} \)