ASVAB Math Knowledge Practice Test 977337 Results

Your Results Global Average
Questions 5 5
Correct 0 2.97
Score 0% 59%

Review

1

If the length of AB equals the length of BD, point B __________ this line segment.

46% Answer Correctly

intersects

trisects

midpoints

bisects


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.


2

Solve for a:
-4a + 7 = \( \frac{a}{2} \)

46% Answer Correctly
\(\frac{1}{3}\)
1\(\frac{5}{9}\)
-1\(\frac{8}{19}\)
-1\(\frac{1}{48}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-4a + 7 = \( \frac{a}{2} \)
2 x (-4a + 7) = a
(2 x -4a) + (2 x 7) = a
-8a + 14 = a
-8a + 14 - a = 0
-8a - a = -14
-9a = -14
a = \( \frac{-14}{-9} \)
a = 1\(\frac{5}{9}\)


3

The dimensions of this cube are height (h) = 2, length (l) = 1, and width (w) = 2. What is the volume?

83% Answer Correctly
4
324
98
160

Solution

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

v = h x l x w
v = 2 x 1 x 2
v = 4


4

The dimensions of this cylinder are height (h) = 8 and radius (r) = 6. What is the surface area?

48% Answer Correctly
168π
198π
70π
36π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 8)
sa = 2π(36) + 2π(48)
sa = (2 x 36)π + (2 x 48)π
sa = 72π + 96π
sa = 168π


5

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

75% Answer Correctly

right, obtuse, acute

right, acute, obtuse

acute, obtuse, right

acute, right, obtuse


Solution

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