ASVAB Math Knowledge Practice Test 269682 Results

Your Results Global Average
Questions 5 5
Correct 0 3.04
Score 0% 61%

Review

1

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

circumference

diameter

chord

radius


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


2

What is the area of a circle with a diameter of 6?

69% Answer Correctly

Solution

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

r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π


3

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

77% Answer Correctly

a = π r

a = π r2

a = π d

a = π d2


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.


4

Simplify (2a)(9ab) + (9a2)(8b).

65% Answer Correctly
187a2b
-54ab2
54a2b
90a2b

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.

(2a)(9ab) + (9a2)(8b)
(2 x 9)(a x a x b) + (9 x 8)(a2 x b)
(18)(a1+1 x b) + (72)(a2b)
18a2b + 72a2b
90a2b


5

On this circle, line segment CD is the:

46% Answer Correctly

circumference

chord

radius

diameter


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).