ASVAB Math Knowledge Practice Test 473867 Results

Your Results Global Average
Questions 5 5
Correct 0 2.97
Score 0% 59%

Review

1

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c - a

c2 - a2

c2 + a2

a2 - c2


Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)


2

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

83% Answer Correctly
14
126
64
4

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 1 x 4 x 1
v = 4


3

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

42% Answer Correctly

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

x-intercept

slope

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.


4

If angle a = 37° and angle b = 36° what is the length of angle c?

71% Answer Correctly
73°
77°
100°
107°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 37° - 36° = 107°


5

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

57% Answer Correctly

sum of interior angles = 180°

exterior angle = sum of two adjacent interior angles

area = ½bh

perimeter = sum of side lengths


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.