ASVAB Math Knowledge Practice Test 758187 Results

Your Results Global Average
Questions 5 5
Correct 0 2.52
Score 0% 50%

Review

1

The dimensions of this cylinder are height (h) = 7 and radius (r) = 8. What is the surface area?

48% Answer Correctly
240π
288π
154π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 7)
sa = 2π(64) + 2π(56)
sa = (2 x 64)π + (2 x 56)π
sa = 128π + 112π
sa = 240π


2

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).


3

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

isosceles and right

equilateral and isosceles

equilateral and right

equilateral, isosceles and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


4

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

36% Answer Correctly

same-side interior angles are complementary and equal each other

all acute angles equal each other

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

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


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

67% Answer Correctly

h x l x w

2lw x 2wh + 2lh

h2 x l2 x w2

lw x wh + lh


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.