ASVAB Math Knowledge Practice Test 239005 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

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

54% Answer Correctly

2(π r2) + 2π rh

4π r2

π r2h2

π r2h


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 dimensions of this cylinder are height (h) = 1 and radius (r) = 7. What is the surface area?

48% Answer Correctly
112π
272π
224π
70π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 1)
sa = 2π(49) + 2π(7)
sa = (2 x 49)π + (2 x 7)π
sa = 98π + 14π
sa = 112π


3

Simplify 6a x 8b.

86% Answer Correctly
14ab
48a2b2
48ab
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.

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


4

On this circle, line segment AB is the:

72% Answer Correctly

radius

chord

circumference

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).


5

Solve for x:
9x - 9 = 3 - 9x

60% Answer Correctly
1
5
-1
\(\frac{2}{3}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

9x - 9 = 3 - 9x
9x = 3 - 9x + 9
9x + 9x = 3 + 9
18x = 12
x = \( \frac{12}{18} \)
x = \(\frac{2}{3}\)