ASVAB Arithmetic Reasoning Practice Test 180587 Results

Your Results Global Average
Questions 5 5
Correct 0 3.29
Score 0% 66%

Review

1

A triathlon course includes a 200m swim, a 50.3km bike ride, and a 8.6km run. What is the total length of the race course?

69% Answer Correctly
59.1km
58.1km
38.1km
45.5km

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 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.2km + 50.3km + 8.6km
total distance = 59.1km


2

What is \( \frac{3}{6} \) ÷ \( \frac{3}{9} \)?

68% Answer Correctly
4\(\frac{1}{2}\)
9
1\(\frac{1}{2}\)
\(\frac{3}{10}\)

Solution

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

\( \frac{3}{6} \) ÷ \( \frac{3}{9} \) = \( \frac{3}{6} \) x \( \frac{9}{3} \)

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

\( \frac{3}{6} \) x \( \frac{9}{3} \) = \( \frac{3 x 9}{6 x 3} \) = \( \frac{27}{18} \) = 1\(\frac{1}{2}\)


3

What is the distance in miles of a trip that takes 8 hours at an average speed of 55 miles per hour?

87% Answer Correctly
520 miles
440 miles
225 miles
420 miles

Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 55mph \times 8h \)
440 miles


4

Which of the following statements about exponents is false?

47% Answer Correctly

b1 = 1

b1 = b

b0 = 1

all of these are false


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).


5

Simplify \( \sqrt{80} \)

62% Answer Correctly
5\( \sqrt{5} \)
4\( \sqrt{10} \)
4\( \sqrt{5} \)
6\( \sqrt{10} \)

Solution

To simplify a radical, factor out the perfect squares:

\( \sqrt{80} \)
\( \sqrt{16 \times 5} \)
\( \sqrt{4^2 \times 5} \)
4\( \sqrt{5} \)