ASVAB Math Knowledge Practice Test 838565 Results

Your Results Global Average
Questions 5 5
Correct 0 2.81
Score 0% 56%

Review

1

What is the circumference of a circle with a diameter of 11?

71% Answer Correctly
15π
20π
11π
13π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 11π


2

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

42% Answer Correctly

y-intercept

slope

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

x-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

If the length of AB equals the length of BD, point B __________ this line segment.

45% Answer Correctly

intersects

bisects

midpoints

trisects


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.


4

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

51% Answer Correctly
88
378
48
34

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 2 x 2) + (2 x 2 x 5) + (2 x 2 x 5)
sa = (8) + (20) + (20)
sa = 48


5

This diagram represents two parallel lines with a transversal. If w° = 26, what is the value of y°?

73% Answer Correctly
25
154
18
152

Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
  • same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with w° = 26, the value of y° is 154.