ASVAB Math Knowledge Practice Test 645788 Results

Your Results Global Average
Questions 5 5
Correct 0 3.08
Score 0% 62%

Review

1

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

68% Answer Correctly

2lw x 2wh + 2lh

h2 x l2 x w2

h x l x w

lw x wh + lh


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.


2

A right angle measures:

91% Answer Correctly

180°

45°

360°

90°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


3

Solve for c:
-2c - 8 = \( \frac{c}{1} \)

46% Answer Correctly
-2\(\frac{2}{3}\)
-\(\frac{8}{19}\)
1\(\frac{5}{19}\)
1\(\frac{19}{53}\)

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.

-2c - 8 = \( \frac{c}{1} \)
1 x (-2c - 8) = c
(1 x -2c) + (1 x -8) = c
-2c - 8 = c
-2c - 8 - c = 0
-2c - c = 8
-3c = 8
c = \( \frac{8}{-3} \)
c = -2\(\frac{2}{3}\)


4

Which of the following is not required to define the slope-intercept equation for a line?

42% Answer Correctly

x-intercept

y-intercept

\({\Delta y \over \Delta x}\)

slope


Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.


5

The dimensions of this cylinder are height (h) = 7 and radius (r) = 8. What is the volume?

63% Answer Correctly
320π
729π
448π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(82 x 7)
v = 448π