ASVAB Math Knowledge Practice Test 911385 Results

Your Results Global Average
Questions 5 5
Correct 0 3.51
Score 0% 70%

Review

1

The dimensions of this cylinder are height (h) = 9 and radius (r) = 2. What is the surface area?

48% Answer Correctly
42π
80π
44π
10π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 9)
sa = 2π(4) + 2π(18)
sa = (2 x 4)π + (2 x 18)π
sa = 8π + 36π
sa = 44π


2

Which of the following statements about math operations is incorrect?

71% Answer Correctly

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

you can subtract 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

If BD = 10 and AD = 15, AB = ?

76% Answer Correctly
3
18
2
5

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 15 - 10
AB = 5


4

The dimensions of this cube are height (h) = 2, length (l) = 7, and width (w) = 8. What is the volume?

83% Answer Correctly
120
48
504
112

Solution

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

v = h x l x w
v = 2 x 7 x 8
v = 112


5

On this circle, line segment AB is the:

71% Answer Correctly

chord

diameter

circumference

radius


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).