ASVAB Math Knowledge Practice Test 506665 Results

Your Results Global Average
Questions 5 5
Correct 0 2.62
Score 0% 52%

Review

1

The dimensions of this cube are height (h) = 8, length (l) = 5, and width (w) = 7. What is the volume?

83% Answer Correctly
63
8
280
81

Solution

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

v = h x l x w
v = 8 x 5 x 7
v = 280


2

If side a = 7, side b = 5, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{145} \)
\( \sqrt{10} \)
\( \sqrt{40} \)
\( \sqrt{74} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 72 + 52
c2 = 49 + 25
c2 = 74
c = \( \sqrt{74} \)


3

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

46% Answer Correctly

midpoints

trisects

intersects

bisects


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

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

47% 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).


5

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

24% Answer Correctly

c = π d

c = π d2

c = π r

c = π r2


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.