ASVAB Arithmetic Reasoning Practice Test 950358 Results

Your Results Global Average
Questions 5 5
Correct 0 3.70
Score 0% 74%

Review

1

What is -9a3 - 7a3?

71% Answer Correctly
16a3
-16a3
-2a6
-16a-3

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:

-9a3 - 7a3
(-9 - 7)a3
-16a3


2

A bread recipe calls for 2\(\frac{5}{8}\) cups of flour. If you only have 1\(\frac{1}{8}\) cups, how much more flour is needed?

62% Answer Correctly
1\(\frac{1}{2}\) cups
2\(\frac{5}{8}\) cups
1\(\frac{3}{4}\) cups
3 cups

Solution

The amount of flour you need is (2\(\frac{5}{8}\) - 1\(\frac{1}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{21}{8} \) - \( \frac{9}{8} \)) cups
\( \frac{12}{8} \) cups
1\(\frac{1}{2}\) cups


3

Which of the following is a mixed number?

82% Answer Correctly

\({5 \over 7} \)

\({a \over 5} \)

\({7 \over 5} \)

\(1 {2 \over 5} \)


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.


4

How many 11-passenger vans will it take to drive all 54 members of the football team to an away game?

81% Answer Correctly
6 vans
4 vans
5 vans
7 vans

Solution

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{54}{11} \) = 4\(\frac{10}{11}\)

So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.


5

What is \( \frac{2}{9} \) x \( \frac{4}{9} \)?

72% Answer Correctly
\(\frac{1}{6}\)
\(\frac{1}{12}\)
\(\frac{8}{81}\)
\(\frac{1}{14}\)

Solution

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

\( \frac{2}{9} \) x \( \frac{4}{9} \) = \( \frac{2 x 4}{9 x 9} \) = \( \frac{8}{81} \) = \(\frac{8}{81}\)