ASVAB Arithmetic Reasoning Practice Test 196634 Results

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

Review

1

A triathlon course includes a 300m swim, a 40.3km bike ride, and a 6.1km run. What is the total length of the race course?

69% Answer Correctly
52.7km
46.7km
40.4km
39.4km

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 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.3km + 40.3km + 6.1km
total distance = 46.7km


2

Latoya scored 77% on her final exam. If each question was worth 4 points and there were 240 possible points on the exam, how many questions did Latoya answer correctly?

57% Answer Correctly
47
60
46
38

Solution

Latoya scored 77% on the test meaning she earned 77% of the possible points on the test. There were 240 possible points on the test so she earned 240 x 0.77 = 184 points. Each question is worth 4 points so she got \( \frac{184}{4} \) = 46 questions right.


3

Simplify \( \sqrt{175} \)

62% Answer Correctly
8\( \sqrt{14} \)
3\( \sqrt{14} \)
6\( \sqrt{7} \)
5\( \sqrt{7} \)

Solution

To simplify a radical, factor out the perfect squares:

\( \sqrt{175} \)
\( \sqrt{25 \times 7} \)
\( \sqrt{5^2 \times 7} \)
5\( \sqrt{7} \)


4

Which of the following is an improper fraction?

70% Answer Correctly

\(1 {2 \over 5} \)

\({7 \over 5} \)

\({2 \over 5} \)

\({a \over 5} \)


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.


5

What is \( \frac{18\sqrt{25}}{6\sqrt{5}} \)?

71% Answer Correctly
\(\frac{1}{3}\) \( \sqrt{5} \)
\(\frac{1}{5}\) \( \sqrt{\frac{1}{3}} \)
3 \( \sqrt{5} \)
\(\frac{1}{3}\) \( \sqrt{\frac{1}{5}} \)

Solution

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

\( \frac{18\sqrt{25}}{6\sqrt{5}} \)
\( \frac{18}{6} \) \( \sqrt{\frac{25}{5}} \)
3 \( \sqrt{5} \)