ASVAB Math Knowledge Practice Test 646015 Results

Your Results Global Average
Questions 5 5
Correct 0 3.14
Score 0% 63%

Review

1

Solve for c:
c2 - 1 = 0

58% Answer Correctly
9 or -3
8 or -2
1 or -1
-3 or -7

Solution

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

c2 - 1 = 0
(c - 1)(c + 1) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 1) or (c + 1) must equal zero:

If (c - 1) = 0, c must equal 1
If (c + 1) = 0, c must equal -1

So the solution is that c = 1 or -1


2

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

78% Answer Correctly

a = π r2

a = π d

a = π r

a = π d2


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.


3

If the base of this triangle is 7 and the height is 5, what is the area?

58% Answer Correctly
17\(\frac{1}{2}\)
38\(\frac{1}{2}\)
49
40

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 7 x 5 = \( \frac{35}{2} \) = 17\(\frac{1}{2}\)


4

On this circle, line segment AB is the:

71% Answer Correctly

radius

diameter

chord

circumference


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 dimensions of this cylinder are height (h) = 9 and radius (r) = 1. What is the surface area?

48% Answer Correctly
20π
24π
88π
40π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 9)
sa = 2π(1) + 2π(9)
sa = (2 x 1)π + (2 x 9)π
sa = 2π + 18π
sa = 20π