ASVAB Math Knowledge Practice Test 870229 Results

Your Results Global Average
Questions 5 5
Correct 0 3.19
Score 0% 64%

Review

1

A cylinder with a radius (r) and a height (h) has a surface area of:

52% Answer Correctly

4π r2

2(π r2) + 2π rh

π r2h2

π r2h


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


2

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

h x l x w

h2 x l2 x w2

2lw x 2wh + 2lh

lw x wh + lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


3

If angle a = 54° and angle b = 61° what is the length of angle d?

56% Answer Correctly
126°
125°
154°
157°

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° - 54° - 61° = 65°

So, d° = 61° + 65° = 126°

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° - 54° = 126°


4

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

76% Answer Correctly

a = π d2

a = π r2

a = π r

a = π d


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.


5

If b = -5 and x = -3, what is the value of -5b(b - x)?

68% Answer Correctly
-50
-48
576
756

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

-5b(b - x)
-5(-5)(-5 + 3)
-5(-5)(-2)
(25)(-2)
-50