Page 1
1.
The function,
,
gives the perimeter of a square as a function of the length of a side.
By what factor does the perimeter increase when the length of a side is tripled?
2.
The function,
,
gives the area of a circle as a function of its radius.
By what factor does the area increase when its radius is quadrupled?
3.
The function,
,
gives the volume of a sphere as a function of its radius.
By what factor does the volume increase when its radius is quadrupled?
4.
The function,
,
gives the area of a 10-inch long rectangle as a function of its width.
By what factor does the area increase when its width is quadrupled?
A)
40
B)
4
C)
0.4
D)
16
5.
The function,
,
gives the area of a circle as a function of its radius.
By what factor does the area increase when its radius is doubled?
A)
2
B)
12
C)
4
D)
0.75
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6.
The function,
,
gives the volume of a cube as a function of the length of a side.
By what factor does the volume increase when the length of a side is quadrupled?
A)
85
B)
4
C)
3
D)
64
7.
In which function does the output, y, increase by a factor of 8 when the input, x, is
doubled?
A)
3
5yx=
B)
2
8yx=
C)
8yx=
D)
4yx=
8.
In which function does the output, y, increase by a factor of 9 when the input, x, is
tripled?
A)
2
5yx=
B)
9yx=
C)
3
3yx=
D)
3yx=
9.
In which function does the output, y, increase by a factor of 16 when the input, x, is
quadrupled?
A)
2
7yx=
B)
4yx=
C)
3
16yx=
D)
3yx=
10.
Solve the formula, F = 2·m·a for m.
11.
Find the surface area of a sphere with a radius of 4 meters.
Round the answer to 2 decimal places.
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12.
Find the Volume area of a sphere with a radius of 7 meters.
Round the answer to 2 decimal places.
13.
Find the radius of a sphere with a surface area of 113.10 feet2.
Round the answer to the nearest foot.
14.
Find the radius of a sphere with a volume of 3,053.63 meters3.
Round the answer to the nearest meter.
15.
Find the volume of a cylinder with a radius of 6 ft and a height of 11 ft.
Round the answer to 2 decimal places.
16.
Find the surface area of a cylinder with a radius of 5 m and a height of 9 m.
Round the answer to 2 decimal places.
17.
A sphere with radius 12 m and a cylinder with radius 12 m are to have the same volume.
What must be the height of the cylinder?
18.
Assume a box has a square base with a side of length x and the side of the base is 4
times the height. Write a function for the volume of the box.
19.
Assume a box has a square base, a height of x, and the side of the base is 4 times the
height. Write a function for the volume of the box.
20.
A sculptor has been inspired by a teacher in his youth and now wants to commemorate
the teacher by creating a sculptor of her. The sculptor first makes a model that is 12
inches tall and contains 16.8 cubic inches of clay. How many cubic inches of clay will
be required for the final sculpture if it is to be 60 inches tall?
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Answer Key