ASVAB Arithmetic Reasoning Practice Test 780057 Results

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

Review

1

Solve 5 + (2 + 3) ÷ 4 x 4 - 52

53% Answer Correctly
\(\frac{5}{7}\)
\(\frac{2}{3}\)
-15
\(\frac{5}{9}\)

Solution

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

5 + (2 + 3) ÷ 4 x 4 - 52
P: 5 + (5) ÷ 4 x 4 - 52
E: 5 + 5 ÷ 4 x 4 - 25
MD: 5 + \( \frac{5}{4} \) x 4 - 25
MD: 5 + \( \frac{20}{4} \) - 25
AS: \( \frac{20}{4} \) + \( \frac{20}{4} \) - 25
AS: \( \frac{40}{4} \) - 25
AS: \( \frac{40 - 100}{4} \)
\( \frac{-60}{4} \)
-15


2

What is 8y4 - 4y4?

71% Answer Correctly
12y16
4y4
12y8
12y4

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

8y4 - 4y4
(8 - 4)y4
4y4


3

12 members of a bridal party need transported to a wedding reception but there are only 4 2-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
4
3
6
8

Solution

There are 4 2-passenger taxis available so that's 4 x 2 = 8 total seats. There are 12 people needing transportation leaving 12 - 8 = 4 who will have to find other transportation.


4

Convert 6,664,000 to scientific notation.

62% Answer Correctly
6.664 x 105
6.664 x 107
66.64 x 105
6.664 x 106

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:

6,664,000 in scientific notation is 6.664 x 106


5

A triathlon course includes a 100m swim, a 20.6km bike ride, and a 7.5km run. What is the total length of the race course?

69% Answer Correctly
28.2km
36.5km
25.5km
29km

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 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.1km + 20.6km + 7.5km
total distance = 28.2km