ASVAB Arithmetic Reasoning Practice Test 149181 Results

Your Results Global Average
Questions 5 5
Correct 0 3.43
Score 0% 69%

Review

1

Simplify \( \sqrt{28} \)

62% Answer Correctly
2\( \sqrt{7} \)
4\( \sqrt{14} \)
9\( \sqrt{7} \)
7\( \sqrt{7} \)

Solution

To simplify a radical, factor out the perfect squares:

\( \sqrt{28} \)
\( \sqrt{4 \times 7} \)
\( \sqrt{2^2 \times 7} \)
2\( \sqrt{7} \)


2

A bread recipe calls for 2 cups of flour. If you only have \(\frac{3}{8}\) cup, how much more flour is needed?

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

Solution

The amount of flour you need is (2 - \(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{16}{8} \) - \( \frac{3}{8} \)) cups
\( \frac{13}{8} \) cups
1\(\frac{5}{8}\) cups


3

a(b + c) = ab + ac defines which of the following?

75% Answer Correctly

commutative property for multiplication

distributive property for multiplication

commutative property for division

distributive property for division


Solution

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.


4

25 members of a bridal party need transported to a wedding reception but there are only 4 5-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
9
2
5
7

Solution

There are 4 5-passenger taxis available so that's 4 x 5 = 20 total seats. There are 25 people needing transportation leaving 25 - 20 = 5 who will have to find other transportation.


5

What is \( \frac{4}{6} \) ÷ \( \frac{3}{6} \)?

68% Answer Correctly
\(\frac{2}{21}\)
\(\frac{1}{6}\)
1\(\frac{1}{3}\)
\(\frac{3}{56}\)

Solution

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

\( \frac{4}{6} \) ÷ \( \frac{3}{6} \) = \( \frac{4}{6} \) x \( \frac{6}{3} \)

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

\( \frac{4}{6} \) x \( \frac{6}{3} \) = \( \frac{4 x 6}{6 x 3} \) = \( \frac{24}{18} \) = 1\(\frac{1}{3}\)