ASVAB Arithmetic Reasoning Practice Test 403161 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

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

78% Answer Correctly

improper fraction

fraction

mixed number

integer


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.


2

Which of the following statements about exponents is false?

47% Answer Correctly

b0 = 1

b1 = b

all of these are false

b1 = 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).


3

Ezra loaned Diane $1,400 at an annual interest rate of 4%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$1,498
$1,456
$1,442
$1,512

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $1,400
i = 0.04 x $1,400

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $1,400 + $56
total = $1,456


4

What is \( \frac{1}{9} \) ÷ \( \frac{1}{7} \)?

68% Answer Correctly
\(\frac{7}{9}\)
\(\frac{1}{9}\)
\(\frac{3}{10}\)
7

Solution

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

\( \frac{1}{9} \) ÷ \( \frac{1}{7} \) = \( \frac{1}{9} \) x \( \frac{7}{1} \)

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

\( \frac{1}{9} \) x \( \frac{7}{1} \) = \( \frac{1 x 7}{9 x 1} \) = \( \frac{7}{9} \) = \(\frac{7}{9}\)


5

Which of the following is an improper fraction?

70% Answer Correctly

\({2 \over 5} \)

\({a \over 5} \)

\({7 \over 5} \)

\(1 {2 \over 5} \)


Solution

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.