ASVAB Math Knowledge Practice Test 781053 Results

Your Results Global Average
Questions 5 5
Correct 0 2.77
Score 0% 55%

Review

1

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

45% Answer Correctly

bisects

trisects

intersects

midpoints


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.


2

The dimensions of this trapezoid are a = 4, b = 4, c = 5, d = 3, and h = 3. What is the area?

51% Answer Correctly
10\(\frac{1}{2}\)
21
24
15

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(4 + 3)(3)
a = ½(7)(3)
a = ½(21) = \( \frac{21}{2} \)
a = 10\(\frac{1}{2}\)


3

If a = c = 5, b = d = 8, what is the area of this rectangle?

80% Answer Correctly
54
24
14
40

Solution

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

a = l x w
a = a x b
a = 5 x 8
a = 40


4

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).


5

If angle a = 20° and angle b = 64° what is the length of angle d?

56% Answer Correctly
131°
144°
139°
160°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 20° - 64° = 96°

So, d° = 64° + 96° = 160°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 20° = 160°