ASVAB Math Knowledge Practice Test 419355 Results

Your Results Global Average
Questions 5 5
Correct 0 3.14
Score 0% 63%

Review

1

Simplify (4a)(2ab) + (8a2)(4b).

65% Answer Correctly
40a2b
24ab2
-24a2b
72ab2

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.

(4a)(2ab) + (8a2)(4b)
(4 x 2)(a x a x b) + (8 x 4)(a2 x b)
(8)(a1+1 x b) + (32)(a2b)
8a2b + 32a2b
40a2b


2

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

lw x wh + lh

h x l x w

2lw x 2wh + 2lh

h2 x l2 x w2


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


3

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

46% Answer Correctly

radius

circumference

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).


4

The dimensions of this cube are height (h) = 9, length (l) = 1, and width (w) = 5. What is the surface area?

51% Answer Correctly
262
102
38
118

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 1 x 5) + (2 x 5 x 9) + (2 x 1 x 9)
sa = (10) + (90) + (18)
sa = 118


5

If side x = 14cm, side y = 14cm, and side z = 10cm what is the perimeter of this triangle?

84% Answer Correctly
26cm
38cm
31cm
37cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 14cm + 14cm + 10cm = 38cm