ASVAB Math Knowledge Practice Test 206489 Results

Your Results Global Average
Questions 5 5
Correct 0 3.30
Score 0% 66%

Review

1

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

78% Answer Correctly

a = π d2

a = π r

a = π r2

a = π d


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

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

47% Answer Correctly

c2 - a2

c - a

a2 - c2

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, \(c = \sqrt{a + b}\)


3

The endpoints of this line segment are at (-2, 0) and (2, 6). What is the slope of this line?

46% Answer Correctly
-2\(\frac{1}{2}\)
-\(\frac{1}{2}\)
1\(\frac{1}{2}\)
-2

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 0) and (2, 6) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (0.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)
m = 1\(\frac{1}{2}\)


4

A(n) __________ is two expressions separated by an equal sign.

77% Answer Correctly

problem

expression

equation

formula


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.


5

The dimensions of this cube are height (h) = 9, length (l) = 6, and width (w) = 3. What is the volume?

83% Answer Correctly
18
162
336
10

Solution

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

v = h x l x w
v = 9 x 6 x 3
v = 162