ASVAB Math Knowledge Practice Test 272744 Results

Your Results Global Average
Questions 5 5
Correct 0 3.03
Score 0% 61%

Review

1

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π r

c = π d2

c = π d

c = π r2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


2

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

61% Answer Correctly

supplementary, vertical

acute, obtuse

obtuse, acute

vertical, supplementary


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


3

The dimensions of this cylinder are height (h) = 8 and radius (r) = 2. What is the volume?

63% Answer Correctly
320π
175π
32π
256π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(22 x 8)
v = 32π


4

What is the area of a circle with a diameter of 8?

70% Answer Correctly
36π
16π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π


5

Simplify 8a x 6b.

86% Answer Correctly
48a2b2
48ab
14ab
48\( \frac{b}{a} \)

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

8a x 6b = (8 x 6) (a x b) = 48ab