ASVAB Arithmetic Reasoning Practice Test 103960 Results

Your Results Global Average
Questions 5 5
Correct 0 3.30
Score 0% 66%

Review

1

Find the average of the following numbers: 10, 4, 10, 4.

74% Answer Correctly
12
2
7
6

Solution

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

\( \frac{10 + 4 + 10 + 4}{4} \) = \( \frac{28}{4} \) = 7


2

What is \( \frac{2}{8} \) x \( \frac{2}{9} \)?

72% Answer Correctly
\(\frac{1}{18}\)
\(\frac{4}{15}\)
\(\frac{1}{16}\)
\(\frac{12}{35}\)

Solution

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

\( \frac{2}{8} \) x \( \frac{2}{9} \) = \( \frac{2 x 2}{8 x 9} \) = \( \frac{4}{72} \) = \(\frac{1}{18}\)


3

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.


4

A triathlon course includes a 400m swim, a 20.1km bike ride, and a 8.9km run. What is the total length of the race course?

69% Answer Correctly
49.5km
33.6km
29.4km
47.2km

Solution

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.4km + 20.1km + 8.9km
total distance = 29.4km


5

Which of the following statements about exponents is false?

47% Answer Correctly

all of these are false

b1 = b

b1 = 1

b0 = 1


Solution

A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).