ASVAB Math Knowledge Practice Test 44914 Results

Your Results Global Average
Questions 5 5
Correct 0 3.76
Score 0% 75%

Review

1

Which of the following statements about a triangle is not true?

57% Answer Correctly

perimeter = sum of side lengths

sum of interior angles = 180°

area = ½bh

exterior angle = sum of two adjacent interior angles


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


2

The dimensions of this cube are height (h) = 1, length (l) = 3, and width (w) = 3. What is the volume?

82% Answer Correctly
90
9
216
343

Solution

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

v = h x l x w
v = 1 x 3 x 3
v = 9


3

If side a = 5, side b = 2, what is the length of the hypotenuse of this right triangle?

63% Answer Correctly
\( \sqrt{29} \)
\( \sqrt{90} \)
10
\( \sqrt{58} \)

Solution

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

c2 = a2 + b2
c2 = 52 + 22
c2 = 25 + 4
c2 = 29
c = \( \sqrt{29} \)


4

If side x = 13cm, side y = 10cm, and side z = 10cm what is the perimeter of this triangle?

84% Answer Correctly
33cm
23cm
32cm
24cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 13cm + 10cm + 10cm = 33cm


5

A coordinate grid is composed of which of the following?

88% Answer Correctly

x-axis

origin

y-axis

all of these


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.