ASVAB Math Knowledge Practice Test 498106 Results

Your Results Global Average
Questions 5 5
Correct 0 3.16
Score 0% 63%

Review

1

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

24% Answer Correctly

c = π r

c = π d

c = π d2

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.


2

What is 3a7 - 8a7?

74% Answer Correctly
11a14
-5a14
-5a7
-5

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

3a7 - 8a7 = -5a7


3

On this circle, line segment AB is the:

71% Answer Correctly

circumference

radius

chord

diameter


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 a = 7, side b = 9, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{50} \)
\( \sqrt{117} \)
\( \sqrt{90} \)
\( \sqrt{130} \)

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 + 92
c2 = 49 + 81
c2 = 130
c = \( \sqrt{130} \)


5

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

85% Answer Correctly
32cm
33cm
27cm
26cm

Solution

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

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