ASVAB Math Knowledge Practice Test 524506 Results

Your Results Global Average
Questions 5 5
Correct 0 2.44
Score 0% 49%

Review

1

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

46% Answer Correctly

diameter

circumference

chord

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).


2

Simplify (8a)(9ab) - (9a2)(2b).

62% Answer Correctly
187a2b
90ab2
187ab2
54a2b

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.

(8a)(9ab) - (9a2)(2b)
(8 x 9)(a x a x b) - (9 x 2)(a2 x b)
(72)(a1+1 x b) - (18)(a2b)
72a2b - 18a2b
54a2b


3

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

24% Answer Correctly

c = π r2

c = π r

c = π d

c = 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 cylinder are height (h) = 3 and radius (r) = 2. What is the surface area?

48% Answer Correctly
20π
140π
96π
234π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 3)
sa = 2π(4) + 2π(6)
sa = (2 x 4)π + (2 x 6)π
sa = 8π + 12π
sa = 20π


5

Simplify (y + 6)(y - 4)

64% Answer Correctly
y2 - 2y - 24
y2 + 10y + 24
y2 + 2y - 24
y2 - 10y + 24

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 6)(y - 4)
(y x y) + (y x -4) + (6 x y) + (6 x -4)
y2 - 4y + 6y - 24
y2 + 2y - 24