ASVAB Math Knowledge Practice Test 612423 Results

Your Results Global Average
Questions 5 5
Correct 0 3.37
Score 0% 67%

Review

1

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

47% Answer Correctly

c2 + a2

a2 - c2

c - a

c2 - a2


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

Breaking apart a quadratic expression into a pair of binomials is called:

75% Answer Correctly

squaring

deconstructing

normalizing

factoring


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.


3

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

46% Answer Correctly

diameter

circumference

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).


4

If side x = 11cm, side y = 8cm, and side z = 11cm what is the perimeter of this triangle?

85% Answer Correctly
34cm
24cm
23cm
30cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 11cm + 8cm + 11cm = 30cm


5

The dimensions of this cube are height (h) = 7, length (l) = 6, and width (w) = 2. What is the volume?

83% Answer Correctly
84
27
48
2

Solution

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

v = h x l x w
v = 7 x 6 x 2
v = 84