ASVAB Math Knowledge Practice Test 585688 Results

Your Results Global Average
Questions 5 5
Correct 0 2.69
Score 0% 54%

Review

1

The dimensions of this cylinder are height (h) = 9 and radius (r) = 3. What is the volume?

62% Answer Correctly
81π
36π
45π
64π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(32 x 9)
v = 81π


2

On this circle, line segment AB is the:

70% Answer Correctly

chord

circumference

radius

diameter


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).


3

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

77% Answer Correctly

a = π d2

a = π r2

a = π r

a = π d


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

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

angles in the same position on different parallel lines are called corresponding angles

all of the angles formed by a transversal are called interior angles

all acute angles equal each other

same-side interior angles are complementary and equal each other


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).


5

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

24% Answer Correctly

c = π d

c = π d2

c = π r

c = π r2


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.