ASVAB Math Knowledge Practice Test 805108 Results

Your Results Global Average
Questions 5 5
Correct 0 2.80
Score 0% 56%

Review

1

The dimensions of this cylinder are height (h) = 4 and radius (r) = 5. What is the volume?

62% Answer Correctly
81π
25π
100π
16π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(52 x 4)
v = 100π


2

The endpoints of this line segment are at (-2, 7) and (2, -1). What is the slope of this line?

46% Answer Correctly
-\(\frac{1}{2}\)
-1
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, 7) and (2, -1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)
m = -2


3

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

46% Answer Correctly

radius

diameter

circumference

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).


4

What is the circumference of a circle with a diameter of 11?

71% Answer Correctly
11π
22π
30π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 11π


5

A cylinder with a radius (r) and a height (h) has a surface area of:

54% Answer Correctly

4π r2

π r2h

π r2h2

2(π r2) + 2π rh


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.