ASVAB Math Knowledge Practice Test 343736 Results

Your Results Global Average
Questions 5 5
Correct 0 3.55
Score 0% 71%

Review

1

If angle a = 67° and angle b = 32° what is the length of angle c?

71% Answer Correctly
104°
81°
70°
83°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 67° - 32° = 81°


2

If side a = 9, side b = 8, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{113} \)
\( \sqrt{68} \)
\( \sqrt{13} \)
\( \sqrt{145} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 92 + 82
c2 = 81 + 64
c2 = 145
c = \( \sqrt{145} \)


3

If a = c = 7, b = d = 5, what is the area of this rectangle?

80% Answer Correctly
45
10
35
36

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 7 x 5
a = 35


4

The dimensions of this cylinder are height (h) = 3 and radius (r) = 4. What is the surface area?

48% Answer Correctly
14π
180π
160π
56π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 3)
sa = 2π(16) + 2π(12)
sa = (2 x 16)π + (2 x 12)π
sa = 32π + 24π
sa = 56π


5

A coordinate grid is composed of which of the following?

91% Answer Correctly

all of these

y-axis

origin

x-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.