ASVAB Math Knowledge Practice Test 135311 Results

Your Results Global Average
Questions 5 5
Correct 0 2.39
Score 0% 48%

Review

1

The dimensions of this cylinder are height (h) = 1 and radius (r) = 4. What is the surface area?

48% Answer Correctly
160π
40π
140π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 1)
sa = 2π(16) + 2π(4)
sa = (2 x 16)π + (2 x 4)π
sa = 32π + 8π
sa = 40π


2

If angle a = 26° and angle b = 53° what is the length of angle c?

71% Answer Correctly
104°
101°
119°
89°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 26° - 53° = 101°


3

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π d

c = π d2

c = π r

c = π r2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


4

The endpoints of this line segment are at (-2, 4) and (2, -6). What is the slope of this line?

46% Answer Correctly
-2\(\frac{1}{2}\)
1
2\(\frac{1}{2}\)
3

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, 4) and (2, -6) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)
m = -2\(\frac{1}{2}\)


5

The dimensions of this cube are height (h) = 5, length (l) = 5, and width (w) = 1. What is the surface area?

51% Answer Correctly
70
136
112
306

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 1) + (2 x 1 x 5) + (2 x 5 x 5)
sa = (10) + (10) + (50)
sa = 70