ASVAB Math Knowledge Practice Test 220480 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

Simplify (4a)(5ab) + (5a2)(3b).

65% Answer Correctly
35ab2
35a2b
5a2b
72a2b

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)(5ab) + (5a2)(3b)
(4 x 5)(a x a x b) + (5 x 3)(a2 x b)
(20)(a1+1 x b) + (15)(a2b)
20a2b + 15a2b
35a2b


2

A right angle measures:

90% Answer Correctly

360°

180°

45°

90°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


3

The dimensions of this cylinder are height (h) = 6 and radius (r) = 3. What is the volume?

62% Answer Correctly
196π
512π
54π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(32 x 6)
v = 54π


4

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

46% Answer Correctly

circumference

diameter

radius

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).


5

The dimensions of this cylinder are height (h) = 3 and radius (r) = 6. What is the surface area?

48% Answer Correctly
224π
48π
168π
108π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 3)
sa = 2π(36) + 2π(18)
sa = (2 x 36)π + (2 x 18)π
sa = 72π + 36π
sa = 108π