ASVAB Math Knowledge Practice Test 942480 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

The endpoints of this line segment are at (-2, -5) and (2, 1). What is the slope of this line?

46% Answer Correctly
1\(\frac{1}{2}\)
\(\frac{1}{2}\)
2\(\frac{1}{2}\)
-1\(\frac{1}{2}\)

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, -5) and (2, 1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-5.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)
m = 1\(\frac{1}{2}\)


2

What is the area of a circle with a diameter of 10?

70% Answer Correctly
25π

Solution

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

r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π


3

This diagram represents two parallel lines with a transversal. If b° = 167, what is the value of d°?

73% Answer Correctly
12
167
143
149

Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • 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°)

Applying these relationships starting with b° = 167, the value of d° is 167.


4

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

61% Answer Correctly

acute, obtuse

obtuse, acute

vertical, supplementary

supplementary, vertical


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


5

The dimensions of this cube are height (h) = 5, length (l) = 2, and width (w) = 3. What is the volume?

83% Answer Correctly
36
30
126
12

Solution

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

v = h x l x w
v = 5 x 2 x 3
v = 30