ASVAB Math Knowledge Practice Test 737291 Results

Your Results Global Average
Questions 5 5
Correct 0 2.82
Score 0% 56%

Review

1

The dimensions of this cube are height (h) = 4, length (l) = 6, and width (w) = 5. What is the volume?

82% Answer Correctly
150
120
48
32

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 4 x 6 x 5
v = 120


2

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

24% Answer Correctly

c = π r2

c = π d

c = π r

c = π d2


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.


3

What is 2a4 - 8a4?

73% Answer Correctly
a48
-6a4
-6
16a8

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

2a4 - 8a4 = -6a4


4

If angle a = 57° and angle b = 54° what is the length of angle d?

56% Answer Correctly
148°
153°
123°
120°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 57° - 54° = 69°

So, d° = 54° + 69° = 123°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 57° = 123°


5

The dimensions of this cylinder are height (h) = 7 and radius (r) = 2. What is the surface area?

48% Answer Correctly
90π
36π
88π
80π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 7)
sa = 2π(4) + 2π(14)
sa = (2 x 4)π + (2 x 14)π
sa = 8π + 28π
sa = 36π