ASVAB Math Knowledge Practice Test 475855 Results

Your Results Global Average
Questions 5 5
Correct 0 2.69
Score 0% 54%

Review

1

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.


2

A cylinder with a radius (r) and a height (h) has a surface area of:

54% Answer Correctly

4π r2

2(π r2) + 2π rh

π r2h2

π r2h


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


3

The dimensions of this cube are height (h) = 4, length (l) = 1, and width (w) = 7. What is the surface area?

51% Answer Correctly
160
78
190
486

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 7) + (2 x 7 x 4) + (2 x 1 x 4)
sa = (14) + (56) + (8)
sa = 78


4

If a = c = 9, b = d = 3, and the blue angle = 57°, what is the area of this parallelogram?

66% Answer Correctly
15
27
45
32

Solution

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 9 x 3
a = 27


5

Which of the following statements about a triangle is not true?

58% Answer Correctly

sum of interior angles = 180°

perimeter = sum of side lengths

exterior angle = sum of two adjacent interior angles

area = ½bh


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.