ASVAB Math Knowledge Practice Test 414780 Results

Your Results Global Average
Questions 5 5
Correct 0 3.00
Score 0% 60%

Review

1

What is the circumference of a circle with a radius of 16?

71% Answer Correctly
36π
19π
32π
12π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 16)
c = 32π


2

On this circle, line segment CD is the:

46% Answer Correctly

circumference

radius

diameter

chord


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).


3

What is the area of a circle with a diameter of 10?

70% Answer Correctly
16π
64π
25π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π


4

Simplify (3a)(7ab) - (9a2)(5b).

63% Answer Correctly
66ab2
140ab2
-24a2b
140a2b

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)(7ab) - (9a2)(5b)
(3 x 7)(a x a x b) - (9 x 5)(a2 x b)
(21)(a1+1 x b) - (45)(a2b)
21a2b - 45a2b
-24a2b


5

The dimensions of this cylinder are height (h) = 6 and radius (r) = 8. What is the surface area?

48% Answer Correctly
48π
224π
60π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 6)
sa = 2π(64) + 2π(48)
sa = (2 x 64)π + (2 x 48)π
sa = 128π + 96π
sa = 224π