ASVAB Math Knowledge Practice Test 874473 Results

Your Results Global Average
Questions 5 5
Correct 0 3.41
Score 0% 68%

Review

1

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

36% Answer Correctly

all acute angles equal each other

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

same-side interior angles are complementary and equal each other

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°).


2

If a = c = 5, b = d = 6, what is the area of this rectangle?

80% Answer Correctly
24
5
1
30

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 5 x 6
a = 30


3

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

77% Answer Correctly

a = π d2

a = π d

a = π r

a = 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.


4

The dimensions of this cube are height (h) = 9, length (l) = 3, and width (w) = 9. What is the volume?

83% Answer Correctly
288
243
40
60

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 9 x 3 x 9
v = 243


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

lw x wh + lh

h2 x l2 x w2

2lw x 2wh + 2lh


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.