ASVAB Math Knowledge Practice Test 467949 Results

Your Results Global Average
Questions 5 5
Correct 0 3.09
Score 0% 62%

Review

1

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

46% Answer Correctly

radius

circumference

diameter

chord


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 circumference of a circle with a diameter of 12?

70% Answer Correctly
16π
12π
3π
10π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 12π


3

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

76% Answer Correctly

a = π r2

a = π r

a = π d2

a = π d


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

The endpoints of this line segment are at (-2, -6) and (2, -2). What is the slope of this line?

46% Answer Correctly
1
-2\(\frac{1}{2}\)
2
2\(\frac{1}{2}\)

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -6) and (2, -2) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (-6.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)
m = 1


5

If angle a = 59° and angle b = 37° what is the length of angle c?

70% Answer Correctly
96°
90°
84°
104°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 59° - 37° = 84°