ASVAB Math Knowledge Practice Test 823597 Results

Your Results Global Average
Questions 5 5
Correct 0 3.16
Score 0% 63%

Review

1

The dimensions of this cylinder are height (h) = 7 and radius (r) = 5. What is the surface area?

48% Answer Correctly
120π
100π
176π
48π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 7)
sa = 2π(25) + 2π(35)
sa = (2 x 25)π + (2 x 35)π
sa = 50π + 70π
sa = 120π


2

A coordinate grid is composed of which of the following?

88% Answer Correctly

x-axis

origin

all of these

y-axis


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


3

Solve for c:
-3c - 1 = \( \frac{c}{2} \)

46% Answer Correctly
\(\frac{7}{41}\)
-\(\frac{2}{9}\)
-\(\frac{6}{7}\)
-\(\frac{2}{7}\)

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.

-3c - 1 = \( \frac{c}{2} \)
2 x (-3c - 1) = c
(2 x -3c) + (2 x -1) = c
-6c - 2 = c
-6c - 2 - c = 0
-6c - c = 2
-7c = 2
c = \( \frac{2}{-7} \)
c = -\(\frac{2}{7}\)


4

What is the area of a circle with a diameter of 8?

69% Answer Correctly
16π

Solution

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

r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π


5

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

supplementary, vertical

vertical, supplementary

obtuse, acute

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).