ASVAB Math Knowledge Practice Test 624 Results

Your Results Global Average
Questions 5 5
Correct 0 2.73
Score 0% 55%

Review

1

The dimensions of this cube are height (h) = 8, length (l) = 1, and width (w) = 7. What is the surface area?

51% Answer Correctly
16
100
172
142

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 1 x 7) + (2 x 7 x 8) + (2 x 1 x 8)
sa = (14) + (112) + (16)
sa = 142


2

Solve for x:
x + 3 = \( \frac{x}{2} \)

46% Answer Correctly
2\(\frac{8}{11}\)
\(\frac{48}{53}\)
\(\frac{6}{19}\)
-6

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.

x + 3 = \( \frac{x}{2} \)
2 x (x + 3) = x
(2 x x) + (2 x 3) = x
2x + 6 = x
2x + 6 - x = 0
2x - x = -6
x = -6
x = \( \frac{-6}{1} \)
x = -6


3

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

60% Answer Correctly

obtuse, acute

supplementary, vertical

vertical, supplementary

acute, obtuse


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).


4

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

2lw x 2wh + 2lh

lw x wh + lh

h2 x l2 x w2

h x l x w


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


5

The dimensions of this cylinder are height (h) = 3 and radius (r) = 2. What is the surface area?

48% Answer Correctly
272π
84π
208π
20π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 3)
sa = 2π(4) + 2π(6)
sa = (2 x 4)π + (2 x 6)π
sa = 8π + 12π
sa = 20π