ASVAB Math Knowledge Practice Test 779402 Results

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

Review

1

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

48% Answer Correctly
126π
224π
14π
130π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 2)
sa = 2π(49) + 2π(14)
sa = (2 x 49)π + (2 x 14)π
sa = 98π + 28π
sa = 126π


2

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

78% Answer Correctly

a = π r

a = π r2

a = π d2

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.


3

What is the area of a circle with a radius of 5?

70% Answer Correctly
25π
81π

Solution

The formula for area is πr2:

a = πr2
a = π(52)
a = 25π


4

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

24% Answer Correctly

c = π d

c = π r

c = π r2

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.


5

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

63% Answer Correctly

the lengths of all sides are equal

the area is length x width

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

all interior angles are right angles


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).