ASVAB Arithmetic Reasoning Practice Test 953817 Results

Your Results Global Average
Questions 5 5
Correct 0 3.51
Score 0% 70%

Review

1

Solve 5 + (3 + 2) ÷ 4 x 4 - 32

52% Answer Correctly
1\(\frac{2}{3}\)
1\(\frac{1}{2}\)
1
2\(\frac{2}{3}\)

Solution

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

5 + (3 + 2) ÷ 4 x 4 - 32
P: 5 + (5) ÷ 4 x 4 - 32
E: 5 + 5 ÷ 4 x 4 - 9
MD: 5 + \( \frac{5}{4} \) x 4 - 9
MD: 5 + \( \frac{20}{4} \) - 9
AS: \( \frac{20}{4} \) + \( \frac{20}{4} \) - 9
AS: \( \frac{40}{4} \) - 9
AS: \( \frac{40 - 36}{4} \)
\( \frac{4}{4} \)
1


2

Which of the following is a mixed number?

82% Answer Correctly

\({5 \over 7} \)

\({7 \over 5} \)

\({a \over 5} \)

\(1 {2 \over 5} \)


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

Simplify \( \sqrt{125} \)

62% Answer Correctly
9\( \sqrt{5} \)
3\( \sqrt{5} \)
5\( \sqrt{5} \)
4\( \sqrt{5} \)

Solution

To simplify a radical, factor out the perfect squares:

\( \sqrt{125} \)
\( \sqrt{25 \times 5} \)
\( \sqrt{5^2 \times 5} \)
5\( \sqrt{5} \)


4

4! = ?

84% Answer Correctly

5 x 4 x 3 x 2 x 1

4 x 3 x 2 x 1

4 x 3

3 x 2 x 1


Solution

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.


5

A triathlon course includes a 300m swim, a 30.6km bike ride, and a 10.100000000000001km run. What is the total length of the race course?

69% Answer Correctly
57.6km
53km
38km
41km

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 + 30.6km + 10.100000000000001km
total distance = 41km