ASVAB Math Knowledge Practice Test 263282 Results

Your Results Global Average
Questions 5 5
Correct 0 2.74
Score 0% 55%

Review

1

If BD = 8 and AD = 12, AB = ?

75% Answer Correctly
6
16
4
17

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 = 12 - 8
AB = 4


2

Order the following types of angle from least number of degrees to most number of degrees.

74% Answer Correctly

right, acute, obtuse

acute, obtuse, right

acute, right, obtuse

right, obtuse, acute


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


3

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

24% Answer Correctly

c = π r

c = π d2

c = π d

c = 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 endpoints of this line segment are at (-2, -2) and (2, -6). What is the slope of this line?

46% Answer Correctly
1\(\frac{1}{2}\)
-1
3
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, -2) and (2, -6) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)
m = -1


5

If angle a = 37° and angle b = 33° what is the length of angle d?

56% Answer Correctly
154°
131°
135°
143°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 37° - 33° = 110°

So, d° = 33° + 110° = 143°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 37° = 143°