ASVAB Math Knowledge Practice Test 599296 Results

Your Results Global Average
Questions 5 5
Correct 0 3.00
Score 0% 60%

Review

1

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

68% Answer Correctly

2lw x 2wh + 2lh

lw x wh + lh

h x l x w

h2 x l2 x w2


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.


2

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

37% Answer Correctly

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

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°).


3

The dimensions of this trapezoid are a = 5, b = 2, c = 8, d = 9, and h = 4. What is the area?

51% Answer Correctly
19\(\frac{1}{2}\)
22
18
8

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(2 + 9)(4)
a = ½(11)(4)
a = ½(44) = \( \frac{44}{2} \)
a = 22


4

On this circle, line segment AB is the:

72% Answer Correctly

radius

circumference

diameter

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

If angle a = 35° and angle b = 27° what is the length of angle c?

71% Answer Correctly
93°
86°
65°
118°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 35° - 27° = 118°