ASVAB Math Knowledge Practice Test 418302 Results

Your Results Global Average
Questions 5 5
Correct 0 3.12
Score 0% 62%

Review

1

The endpoints of this line segment are at (-2, -3) and (2, 1). What is the slope of this line?

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

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, -3) and (2, 1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)
m = 1


2

The dimensions of this cube are height (h) = 2, length (l) = 9, and width (w) = 6. What is the volume?

83% Answer Correctly
432
108
40
4

Solution

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

v = h x l x w
v = 2 x 9 x 6
v = 108


3

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

51% Answer Correctly
52
246
270
126

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 9 x 3) + (2 x 3 x 9) + (2 x 9 x 9)
sa = (54) + (54) + (162)
sa = 270


4

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

46% Answer Correctly

diameter

chord

radius

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

Simplify 3a x 5b.

86% Answer Correctly
15a2b2
15\( \frac{b}{a} \)
15\( \frac{a}{b} \)
15ab

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

3a x 5b = (3 x 5) (a x b) = 15ab