ASVAB Math Knowledge Practice Test 199523 Results

Your Results Global Average
Questions 5 5
Correct 0 2.99
Score 0% 60%

Review

1

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

46% Answer Correctly

chord

diameter

circumference

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

If side x = 9cm, side y = 13cm, and side z = 5cm what is the perimeter of this triangle?

85% Answer Correctly
27cm
33cm
34cm
35cm

Solution

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

p = x + y + z
p = 9cm + 13cm + 5cm = 27cm


3

If side a = 2, side b = 8, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{68} \)
\( \sqrt{113} \)
\( \sqrt{50} \)
\( \sqrt{29} \)

Solution

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

c2 = a2 + b2
c2 = 22 + 82
c2 = 4 + 64
c2 = 68
c = \( \sqrt{68} \)


4

On this circle, line segment CD is the:

46% Answer Correctly

radius

diameter

circumference

chord


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

Solve for y:
y2 + y - 56 = 0

58% Answer Correctly
7 or -8
7 or 3
5 or -9
-2 or -3

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

y2 + y - 56 = 0
(y - 7)(y + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 7) or (y + 8) must equal zero:

If (y - 7) = 0, y must equal 7
If (y + 8) = 0, y must equal -8

So the solution is that y = 7 or -8