ASVAB Arithmetic Reasoning Practice Test 628283 Results

Your Results Global Average
Questions 5 5
Correct 0 3.57
Score 0% 71%

Review

1

What is \( \frac{4}{5} \) x \( \frac{2}{8} \)?

72% Answer Correctly
\(\frac{4}{45}\)
\(\frac{1}{5}\)
\(\frac{4}{63}\)
\(\frac{16}{63}\)

Solution

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

\( \frac{4}{5} \) x \( \frac{2}{8} \) = \( \frac{4 x 2}{5 x 8} \) = \( \frac{8}{40} \) = \(\frac{1}{5}\)


2

Which of the following is an improper fraction?

70% Answer Correctly

\({a \over 5} \)

\({7 \over 5} \)

\({2 \over 5} \)

\(1 {2 \over 5} \)


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

How many 8-passenger vans will it take to drive all 76 members of the football team to an away game?

81% Answer Correctly
5 vans
10 vans
7 vans
11 vans

Solution

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

vans = \( \frac{76}{8} \) = 9\(\frac{1}{2}\)

So, it will take 9 full vans and one partially full van to transport the entire team making a total of 10 vans.


4

What is \( \frac{9}{3} \) - \( \frac{7}{7} \)?

61% Answer Correctly
2 \( \frac{8}{21} \)
2
2 \( \frac{2}{11} \)
\( \frac{1}{21} \)

Solution

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 7 are [7, 14, 21, 28, 35, 42, 49, 56, 63, 70]. The first few multiples they share are [21, 42, 63, 84] making 21 the smallest multiple 3 and 7 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{9 x 7}{3 x 7} \) - \( \frac{7 x 3}{7 x 3} \)

\( \frac{63}{21} \) - \( \frac{21}{21} \)

Now, because the fractions share a common denominator, you can subtract them:

\( \frac{63 - 21}{21} \) = \( \frac{42}{21} \) = 2


5

Find the average of the following numbers: 16, 12, 16, 12.

74% Answer Correctly
15
9
14
17

Solution

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

\( \frac{16 + 12 + 16 + 12}{4} \) = \( \frac{56}{4} \) = 14