ASVAB Math Knowledge Practice Test 117335 Results

Your Results Global Average
Questions 5 5
Correct 0 2.86
Score 0% 57%

Review

1

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

46% Answer Correctly

circumference

diameter

chord

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).


2

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

61% Answer Correctly

supplementary, vertical

acute, obtuse

obtuse, acute

vertical, supplementary


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


3

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

57% Answer Correctly

area = ½bh

exterior angle = sum of two adjacent interior angles

perimeter = sum of side lengths

sum of interior angles = 180°


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.


4

The endpoints of this line segment are at (-2, -1) and (2, 9). What is the slope of this line?

46% Answer Correctly
2\(\frac{1}{2}\)
-3
-2\(\frac{1}{2}\)
2

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -1) and (2, 9) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(9.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)
m = 2\(\frac{1}{2}\)


5

The formula for the area of a circle is which of the following?

77% Answer Correctly

a = π r2

a = π r

a = π d2

a = π d


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.