ASVAB Arithmetic Reasoning Practice Test 335628 Results

Your Results Global Average
Questions 5 5
Correct 0 3.38
Score 0% 68%

Review

1

\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?

56% Answer Correctly

distributive property for division

commutative property for division

distributive property for multiplication

commutative property for multiplication


Solution

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).


2

Which of the following is a mixed number?

82% Answer Correctly

\({5 \over 7} \)

\(1 {2 \over 5} \)

\({7 \over 5} \)

\({a \over 5} \)


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

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

absolute value

least common multiple

greatest common factor

greatest common multiple


Solution

The greatest common factor (GCF) is the greatest factor that divides two integers.


4

A bread recipe calls for 3\(\frac{3}{8}\) cups of flour. If you only have 1\(\frac{3}{8}\) cups, how much more flour is needed?

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

Solution

The amount of flour you need is (3\(\frac{3}{8}\) - 1\(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{27}{8} \) - \( \frac{11}{8} \)) cups
\( \frac{16}{8} \) cups
2 cups


5

Which of these numbers is a factor of 64?

68% Answer Correctly
4
36
43
21

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 64 are 1, 2, 4, 8, 16, 32, 64.