ASVAB Math Knowledge Practice Test 557218 Results

Your Results Global Average
Questions 5 5
Correct 0 3.53
Score 0% 71%

Review

1

The dimensions of this cylinder are height (h) = 7 and radius (r) = 1. What is the volume?

62% Answer Correctly
64π
324π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(12 x 7)
v = 7π


2

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

77% Answer Correctly

a = π r

a = π r2

a = π d

a = 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 the circumference of a circle with a radius of 14?

71% Answer Correctly
28π
22π
12π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 14)
c = 28π


4

If a = c = 3, b = d = 7, what is the area of this rectangle?

80% Answer Correctly
63
21
14
25

Solution

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

a = l x w
a = a x b
a = 3 x 7
a = 21


5

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

all interior angles are right angles

the area is length x width

the perimeter is the sum of the lengths of all four sides

the lengths of all sides are equal


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).