ASVAB Math Knowledge Practice Test 34116 Results

Your Results Global Average
Questions 5 5
Correct 0 3.08
Score 0% 62%

Review

1

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

48% Answer Correctly
210π
80π
24π
144π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 6)
sa = 2π(36) + 2π(36)
sa = (2 x 36)π + (2 x 36)π
sa = 72π + 72π
sa = 144π


2

What is the circumference of a circle with a diameter of 5?

71% Answer Correctly
26π
32π
18π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 5π


3

The dimensions of this cube are height (h) = 6, length (l) = 5, and width (w) = 3. What is the surface area?

51% Answer Correctly
90
126
232
190

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 5 x 3) + (2 x 3 x 6) + (2 x 5 x 6)
sa = (30) + (36) + (60)
sa = 126


4

A right angle measures:

90% Answer Correctly

90°

45°

360°

180°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


5

Solve for y:
7y - 1 = \( \frac{y}{-4} \)

46% Answer Correctly
\(\frac{4}{17}\)
\(\frac{4}{29}\)
-5\(\frac{2}{5}\)
-\(\frac{5}{7}\)

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.

7y - 1 = \( \frac{y}{-4} \)
-4 x (7y - 1) = y
(-4 x 7y) + (-4 x -1) = y
-28y + 4 = y
-28y + 4 - y = 0
-28y - y = -4
-29y = -4
y = \( \frac{-4}{-29} \)
y = \(\frac{4}{29}\)