ASVAB Arithmetic Reasoning Practice Test 410370 Results

Your Results Global Average
Questions 5 5
Correct 0 3.22
Score 0% 64%

Review

1

Which of these numbers is a factor of 32?

68% Answer Correctly
18
16
6
19

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.


2

A triathlon course includes a 100m swim, a 50.8km bike ride, and a 11.100000000000001km run. What is the total length of the race course?

69% Answer Correctly
62km
57km
35.4km
60.4km

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 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 + 50.8km + 11.100000000000001km
total distance = 62km


3

What is -3x7 x 6x6?

75% Answer Correctly
-18x13
3x42
-18x
-18x-1

Solution

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

-3x7 x 6x6
(-3 x 6)x(7 + 6)
-18x13


4

This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.

59% Answer Correctly

associative

distributive

commutative

PEDMAS


Solution

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.


5

A circular logo is enlarged to fit the lid of a jar. The new diameter is 40% larger than the original. By what percentage has the area of the logo increased?

50% Answer Correctly
20%
27\(\frac{1}{2}\)%
32\(\frac{1}{2}\)%
25%

Solution

The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 40% the radius (and, consequently, the total area) increases by \( \frac{40\text{%}}{2} \) = 20%