ASVAB Arithmetic Reasoning Practice Test 619431 Results

Your Results Global Average
Questions 5 5
Correct 0 3.71
Score 0% 74%

Review

1

What is \( \frac{1}{9} \) ÷ \( \frac{4}{7} \)?

68% Answer Correctly
\(\frac{7}{36}\)
\(\frac{2}{49}\)
\(\frac{1}{45}\)
\(\frac{6}{25}\)

Solution

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

\( \frac{1}{9} \) ÷ \( \frac{4}{7} \) = \( \frac{1}{9} \) x \( \frac{7}{4} \)

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

\( \frac{1}{9} \) x \( \frac{7}{4} \) = \( \frac{1 x 7}{9 x 4} \) = \( \frac{7}{36} \) = \(\frac{7}{36}\)


2

Which of the following is a mixed number?

82% Answer Correctly

\({5 \over 7} \)

\({7 \over 5} \)

\(1 {2 \over 5} \)

\({a \over 5} \)


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.


3

Find the average of the following numbers: 13, 7, 11, 9.

75% Answer Correctly
10
13
7
11

Solution

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

\( \frac{13 + 7 + 11 + 9}{4} \) = \( \frac{40}{4} \) = 10


4

Bob loaned Monty $100 at an annual interest rate of 7%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly
$20
$7
$80
$55

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 $100
i = 0.07 x $100
i = $7


5

What is -7y6 - y6?

71% Answer Correctly
-8y6
-6y12
-8y-6
-6y6

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

-7y6 - 1y6
(-7 - 1)y6
-8y6