ASVAB Math Knowledge Practice Test 432551 Results

Your Results Global Average
Questions 5 5
Correct 0 3.10
Score 0% 62%

Review

1

If AD = 11 and BD = 1, AB = ?

75% Answer Correctly
14
20
9
10

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 11 - 1
AB = 10


2

What is the area of a circle with a diameter of 6?

69% Answer Correctly
49π
36π
25π
9π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π


3

The endpoints of this line segment are at (-2, -8) and (2, 0). What is the slope of this line?

46% Answer Correctly
1
-1
2
-2

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -8) and (2, 0) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (-8.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)
m = 2


4

If side a = 9, side b = 2, what is the length of the hypotenuse of this right triangle?

63% Answer Correctly
\( \sqrt{80} \)
\( \sqrt{73} \)
\( \sqrt{41} \)
\( \sqrt{85} \)

Solution

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

c2 = a2 + b2
c2 = 92 + 22
c2 = 81 + 4
c2 = 85
c = \( \sqrt{85} \)


5

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

57% Answer Correctly

area = ½bh

exterior angle = sum of two adjacent interior angles

perimeter = sum of side lengths

sum of interior angles = 180°


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.