ASVAB Arithmetic Reasoning Practice Test 770055 Results

Your Results Global Average
Questions 5 5
Correct 0 3.16
Score 0% 63%

Review

1

Convert 0.0006458 to scientific notation.

62% Answer Correctly
6.458 x 10-5
0.646 x 10-3
6.458 x 10-3
6.458 x 10-4

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:

0.0006458 in scientific notation is 6.458 x 10-4


2

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Charlie buys two shirts, each with a regular price of $15, how much will he pay for both shirts?

57% Answer Correctly
$10.50
$21.00
$25.50
$17.25

Solution

By buying two shirts, Charlie will save $15 x \( \frac{30}{100} \) = \( \frac{$15 x 30}{100} \) = \( \frac{$450}{100} \) = $4.50 on the second shirt.

So, his total cost will be
$15.00 + ($15.00 - $4.50)
$15.00 + $10.50
$25.50


3

Which of the following is a mixed number?

82% Answer Correctly

\({7 \over 5} \)

\({a \over 5} \)

\({5 \over 7} \)

\(1 {2 \over 5} \)


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 500m swim, a 40.6km bike ride, and a 10.3km run. What is the total length of the race course?

69% Answer Correctly
50.4km
51.4km
43.2km
45.8km

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 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.5km + 40.6km + 10.3km
total distance = 51.4km


5

Which of the following statements about exponents is false?

47% Answer Correctly

b1 = 1

all of these are false

b1 = b

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).