ASVAB Math Knowledge Practice Test 840728 Results

Your Results Global Average
Questions 5 5
Correct 0 3.11
Score 0% 62%

Review

1

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

46% Answer Correctly
-1\(\frac{1}{2}\)
-3
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, 2) and (2, 6) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (2.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)
m = 1


2

A(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

triangle

quadrilateral

trapezoid

rhombus


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


3

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

77% Answer Correctly

a = π d

a = π r

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.


4

The dimensions of this cube are height (h) = 6, length (l) = 2, and width (w) = 3. What is the surface area?

51% Answer Correctly
72
124
46
286

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 2 x 3) + (2 x 3 x 6) + (2 x 2 x 6)
sa = (12) + (36) + (24)
sa = 72


5

Simplify 3a x 6b.

86% Answer Correctly
18\( \frac{a}{b} \)
18ab
18\( \frac{b}{a} \)
18a2b2

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 6b = (3 x 6) (a x b) = 18ab