ASVAB Math Knowledge Practice Test 388113 Results

Your Results Global Average
Questions 5 5
Correct 0 2.27
Score 0% 45%

Review

1

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

53% Answer Correctly

2(π r2) + 2π rh

π r2h2

π r2h

4π r2


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.


2

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

24% Answer Correctly

c = π d2

c = π d

c = π r2

c = π r


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.


3

On this circle, line segment AB is the:

70% Answer Correctly

radius

diameter

chord

circumference


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

Solve -2b - 8b = -b + 6x + 9 for b in terms of x.

34% Answer Correctly
11x - 8
-14x - 9
-1\(\frac{2}{13}\)x + \(\frac{9}{13}\)
-\(\frac{5}{13}\)x - \(\frac{2}{13}\)

Solution

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

-2b - 8x = -b + 6x + 9
-2b = -b + 6x + 9 + 8x
-2b + b = 6x + 9 + 8x
-b = 14x + 9
b = \( \frac{14x + 9}{-1} \)
b = \( \frac{14x}{-1} \) + \( \frac{9}{-1} \)
b = -14x - 9


5

The endpoints of this line segment are at (-2, -4) and (2, 4). What is the slope of this line?

46% Answer Correctly
2\(\frac{1}{2}\)
-1\(\frac{1}{2}\)
3
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, -4) and (2, 4) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)
m = 2