ASVAB Math Knowledge Practice Test 595063 Results

Your Results Global Average
Questions 5 5
Correct 0 2.88
Score 0% 58%

Review

1

The dimensions of this cylinder are height (h) = 2 and radius (r) = 7. What is the volume?

62% Answer Correctly
245π
98π
48π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(72 x 2)
v = 98π


2

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

h2 x l2 x w2

lw x wh + lh

h x l x w

2lw x 2wh + 2lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


3

Simplify (y + 2)(y - 3)

62% Answer Correctly
y2 - y - 6
y2 + y - 6
y2 + 5y + 6
y2 - 5y + 6

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 2)(y - 3)
(y x y) + (y x -3) + (2 x y) + (2 x -3)
y2 - 3y + 2y - 6
y2 - y - 6


4

The dimensions of this cube are height (h) = 9, length (l) = 6, and width (w) = 2. What is the surface area?

51% Answer Correctly
92
168
262
124

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 6 x 2) + (2 x 2 x 9) + (2 x 6 x 9)
sa = (24) + (36) + (108)
sa = 168


5

On this circle, line segment CD is the:

46% Answer Correctly

chord

circumference

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).