ASVAB Math Knowledge Practice Test 52207 Results

Your Results Global Average
Questions 5 5
Correct 0 3.07
Score 0% 61%

Review

1

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

78% Answer Correctly

a = π r

a = π d

a = π r2

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.


2

Which of the following statements about math operations is incorrect?

71% Answer Correctly

you can subtract monomials that have the same variable and the same exponent

you can multiply monomials that have different variables and different exponents

all of these statements are correct

you can add monomials that have the same variable and the same exponent


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.


3

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

46% Answer Correctly

radius

circumference

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

Solve for a:
-9a - 5 < \( \frac{a}{8} \)

44% Answer Correctly
a < -\(\frac{72}{73}\)
a < -\(\frac{40}{73}\)
a < \(\frac{9}{10}\)
a < -\(\frac{1}{4}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

-9a - 5 < \( \frac{a}{8} \)
8 x (-9a - 5) < a
(8 x -9a) + (8 x -5) < a
-72a - 40 < a
-72a - 40 - a < 0
-72a - a < 40
-73a < 40
a < \( \frac{40}{-73} \)
a < -\(\frac{40}{73}\)


5

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

68% Answer Correctly

lw x wh + lh

2lw x 2wh + 2lh

h2 x l2 x w2

h x l x w


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.