ASVAB Math Knowledge Practice Test 81527 Results

Your Results Global Average
Questions 5 5
Correct 0 3.35
Score 0% 67%

Review

1

What is 6a + 6a?

81% Answer Correctly
12a
36a
0
36a2

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

6a + 6a = 12a


2

If side a = 6, side b = 9, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{106} \)
\( \sqrt{50} \)
\( \sqrt{20} \)
\( \sqrt{117} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 62 + 92
c2 = 36 + 81
c2 = 117
c = \( \sqrt{117} \)


3

On this circle, line segment AB is the:

71% Answer Correctly

chord

radius

diameter

circumference


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

A cylinder with a radius (r) and a height (h) has a surface area of:

54% Answer Correctly

π r2h

π r2h2

4π r2

2(π r2) + 2π rh


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


5

The dimensions of this cylinder are height (h) = 8 and radius (r) = 1. What is the volume?

63% Answer Correctly
392π
108π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(12 x 8)
v = 8π