ASVAB Math Knowledge Practice Test 558555 Results

Your Results Global Average
Questions 5 5
Correct 0 2.51
Score 0% 50%

Review

1

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

42% Answer Correctly

x-intercept

y-intercept

slope

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


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.


2

On this circle, a line segment connecting point A to point D is called:

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).


3

If angle a = 27° and angle b = 68° what is the length of angle c?

71% Answer Correctly
60°
85°
68°
84°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 27° - 68° = 85°


4

On this circle, line segment CD is the:

46% Answer Correctly

chord

circumference

diameter

radius


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

The dimensions of this cylinder are height (h) = 7 and radius (r) = 4. What is the surface area?

48% Answer Correctly
36π
56π
192π
88π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 7)
sa = 2π(16) + 2π(28)
sa = (2 x 16)π + (2 x 28)π
sa = 32π + 56π
sa = 88π