ASVAB Arithmetic Reasoning Practice Test 913307 Results

Your Results Global Average
Questions 5 5
Correct 0 3.60
Score 0% 72%

Review

1

What is \( \frac{49\sqrt{45}}{7\sqrt{9}} \)?

71% Answer Correctly
\(\frac{1}{7}\) \( \sqrt{5} \)
\(\frac{1}{5}\) \( \sqrt{\frac{1}{7}} \)
\(\frac{1}{5}\) \( \sqrt{7} \)
7 \( \sqrt{5} \)

Solution

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{49\sqrt{45}}{7\sqrt{9}} \)
\( \frac{49}{7} \) \( \sqrt{\frac{45}{9}} \)
7 \( \sqrt{5} \)


2

What is \( \frac{2}{9} \) ÷ \( \frac{1}{7} \)?

68% Answer Correctly
\(\frac{1}{6}\)
\(\frac{8}{35}\)
1\(\frac{5}{9}\)
\(\frac{3}{14}\)

Solution

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

\( \frac{2}{9} \) ÷ \( \frac{1}{7} \) = \( \frac{2}{9} \) x \( \frac{7}{1} \)

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

\( \frac{2}{9} \) x \( \frac{7}{1} \) = \( \frac{2 x 7}{9 x 1} \) = \( \frac{14}{9} \) = 1\(\frac{5}{9}\)


3

Solve 4 + (4 + 4) ÷ 2 x 5 - 52

52% Answer Correctly
1\(\frac{1}{6}\)
\(\frac{2}{3}\)
1
-1

Solution

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

4 + (4 + 4) ÷ 2 x 5 - 52
P: 4 + (8) ÷ 2 x 5 - 52
E: 4 + 8 ÷ 2 x 5 - 25
MD: 4 + \( \frac{8}{2} \) x 5 - 25
MD: 4 + \( \frac{40}{2} \) - 25
AS: \( \frac{8}{2} \) + \( \frac{40}{2} \) - 25
AS: \( \frac{48}{2} \) - 25
AS: \( \frac{48 - 50}{2} \)
\( \frac{-2}{2} \)
-1


4

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.


5

What is the next number in this sequence: 1, 4, 7, 10, 13, __________ ?

92% Answer Correctly
17
9
25
16

Solution

The equation for this sequence is:

an = an-1 + 3

where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:

a6 = a5 + 3
a6 = 13 + 3
a6 = 16