ASVAB Arithmetic Reasoning Practice Test 827251 Results

Your Results Global Average
Questions 5 5
Correct 0 3.40
Score 0% 68%

Review

1

Which of the following is an improper fraction?

70% Answer Correctly

\({7 \over 5} \)

\(1 {2 \over 5} \)

\({a \over 5} \)

\({2 \over 5} \)


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.


2

How many 16-passenger vans will it take to drive all 78 members of the football team to an away game?

81% Answer Correctly
3 vans
10 vans
5 vans
13 vans

Solution

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

vans = \( \frac{78}{16} \) = 4\(\frac{7}{8}\)

So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.


3

Convert 6,988,000 to scientific notation.

62% Answer Correctly
69.88 x 105
6.988 x 106
0.699 x 107
6.988 x 107

Solution

A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

6,988,000 in scientific notation is 6.988 x 106


4

Find the average of the following numbers: 16, 8, 13, 11.

75% Answer Correctly
14
15
9
12

Solution

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

\( \frac{16 + 8 + 13 + 11}{4} \) = \( \frac{48}{4} \) = 12


5

How many 1 gallon cans worth of fuel would you need to pour into an empty 10 gallon tank to fill it exactly halfway?

52% Answer Correctly
5
8
10
7

Solution

To fill a 10 gallon tank exactly halfway you'll need 5 gallons of fuel. Each fuel can holds 1 gallons so:

cans = \( \frac{5 \text{ gallons}}{1 \text{ gallons}} \) = 5