ASVAB Math Knowledge Practice Test 531404 Results

Your Results Global Average
Questions 5 5
Correct 0 3.40
Score 0% 68%

Review

1

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

77% Answer Correctly

a = π d

a = π d2

a = π r2

a = π r


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.


2

If side a = 2, side b = 1, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{5} \)
\( \sqrt{10} \)
\( \sqrt{82} \)
\( \sqrt{53} \)

Solution

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

c2 = a2 + b2
c2 = 22 + 12
c2 = 4 + 1
c2 = 5
c = \( \sqrt{5} \)


3

The dimensions of this cylinder are height (h) = 5 and radius (r) = 3. What is the volume?

62% Answer Correctly
729π
45π
25π
32π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(32 x 5)
v = 45π


4

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

exponents

division

addition

pairs


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)


5

On this circle, line segment CD is the:

46% Answer Correctly

diameter

chord

circumference

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).