ASVAB Math Knowledge Practice Test 270292 Results

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

Review

1

A right angle measures:

91% Answer Correctly

360°

45°

180°

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.


2

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

42% Answer Correctly

slope

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

x-intercept

y-intercept


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.


3

The dimensions of this cube are height (h) = 5, length (l) = 1, and width (w) = 2. What is the surface area?

51% Answer Correctly
190
104
34
352

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 1 x 2) + (2 x 2 x 5) + (2 x 1 x 5)
sa = (4) + (20) + (10)
sa = 34


4

If BD = 7 and AD = 15, AB = ?

76% Answer Correctly
8
6
13
9

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 15 - 7
AB = 8


5

The dimensions of this cylinder are height (h) = 9 and radius (r) = 3. What is the surface area?

48% Answer Correctly
56π
70π
72π
198π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(32) + 2π(3 x 9)
sa = 2π(9) + 2π(27)
sa = (2 x 9)π + (2 x 27)π
sa = 18π + 54π
sa = 72π