ASVAB Arithmetic Reasoning Practice Test 984843 Results

Your Results Global Average
Questions 5 5
Correct 0 3.47
Score 0% 69%

Review

1

Find the average of the following numbers: 15, 7, 13, 9.

75% Answer Correctly
11
10
13
12

Solution

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

\( \frac{15 + 7 + 13 + 9}{4} \) = \( \frac{44}{4} \) = 11


2

Which of the following is an improper fraction?

71% Answer Correctly

\({7 \over 5} \)

\({a \over 5} \)

\({2 \over 5} \)

\(1 {2 \over 5} \)


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.


3

If there were a total of 50 raffle tickets sold and you bought 2 tickets, what's the probability that you'll win the raffle?

60% Answer Correctly
2%
4%
14%
12%

Solution

You have 2 out of the total of 50 raffle tickets sold so you have a (\( \frac{2}{50} \)) x 100 = \( \frac{2 \times 100}{50} \) = \( \frac{200}{50} \) = 4% chance to win the raffle.


4

What is \( \sqrt{\frac{81}{36}} \)?

70% Answer Correctly
1\(\frac{1}{2}\)
1\(\frac{1}{8}\)
\(\frac{8}{9}\)
1

Solution

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{81}{36}} \)
\( \frac{\sqrt{81}}{\sqrt{36}} \)
\( \frac{\sqrt{9^2}}{\sqrt{6^2}} \)
\( \frac{9}{6} \)
1\(\frac{1}{2}\)


5

What is \( \frac{6\sqrt{4}}{3\sqrt{2}} \)?

71% Answer Correctly
\(\frac{1}{2}\) \( \sqrt{2} \)
\(\frac{1}{2}\) \( \sqrt{\frac{1}{2}} \)
2 \( \sqrt{\frac{1}{2}} \)
2 \( \sqrt{2} \)

Solution

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

\( \frac{6\sqrt{4}}{3\sqrt{2}} \)
\( \frac{6}{3} \) \( \sqrt{\frac{4}{2}} \)
2 \( \sqrt{2} \)