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Math 3 - Final Exam Review

Total questions: 20

Worksheet time: 2hrs 34mins

Name
Class
Date
1.

Which is true about consecutive angles in a parallelogram?

a)

Their sum is 90⁰

b)

Their sum is 180⁰

c)

They have the same measure

d)

There is no relationship

2.

In parallelogram ABCD, the measure of angle A is 40⁰. If the measure of angle C = 2x - 10, then what is the value of x?

a)

40

b)

75

c)

25

d)

45

3.

What is the name of the point in a triangle where the medians intersect?

a)

Centroid

b)

Circumcenter

c)

Incenter

d)

Midpoint

4.

The volume of a cylinder is 150 in3. If the radius of the cylinder is 4 in, what is the approximate height?

a)

2 inches

b)

3 inches

c)

4 inches

d)

5 inches

5.

What is the volume of a cone with a diameter of 8 cm and a height of 18 cm?

a)

288π

b)

108π

c)

384π

d)

96π

6.

The density of a rectangular prism is 4 grams per cubic cm. If the mass of the box is 400 grams and its length 4 cm and width is 5 cm, what is the height of the box?

a)

3 cm

b)

4 cm

c)

5 cm

d)

6 cm

7.

What is the center of a circle with the following equation?

x2 + y2 - 8x + 10y - 8 = 0

a)

(-8, 10)

b)

(8, -10)

c)

(-4, 5)

d)

(4, -5)

8.

What is the radius of a circle with the following equation?

x2 + y2 - 8x + 10y - 8 = 0

a)

7

b)

14

c)

49

d)

24.5

9.

A sprinkler is spraying water in a radius of 10 yards at a rotation of 80 degrees. What is the approximate area of ground covered by the water from the sprinkler?

a)

62.4 square yards

b)

64.8 square yards

c)

69.8 square yards

d)

73.2 square yards

10.

A circle has a radius of 5 inches. What is the length of an arc that has a central angle of 2π/3 radians?

a)

10π/3 inches

b)

2π/15 inches

c)

π/5 inches

d)

5π/3 inches

11.

You start on the unit circle at (0, -1) and move 300° counterclockwise. Which angle (in degrees) will you end up on the unit circle?

a)

30

b)

330

c)

210

d)

120

12.

What is the coordinate on the unit circle at 30⁰?

a)

(1/2, √3/2)

b)

(√3/2, 1/2)

c)

(√2/2, √2/2)

d)

(√2/2, 1/2)

13.

What is the difference between the maximum and the minimum values of the trigonometric function shown?

y = -3cos(2x) + 8

a)

3

b)

6

c)

8

d)

2

14.

Describe how the function y = 2x is transformed to make y = 2x - 5 + 3

a)

Translated left 5 and down 3

b)

Translated right 5 and down 3

c)

Translated left 5 and up 3

d)

Translated right 5 and up 3

15.

What is the range of the function: f(x) = -|x + 3| + 2

a)

y ≤ 2

b)

y ≥ 2

c)

y ≤ -3

d)

y ≥ -3

16.

Which is the inverse of y = (2x + 4)/8

a)

y = (-2x + 4)/8

b)

y = (8x - 4)/2

c)

y = (2x - 4)/8

d)

y = (8x + 4)/2

17.
a)

9

b)

-50

c)

150

d)

80

18.

Which is an equivalent expression?

a)
b)
c)
d)
19.

Which is a solution to the following equation?

a)

3/8

b)

-9/2

c)

-8/5

d)

-9/4

20.

For the following polynomial, k is an integer.

y = x3 + 4x2 - 11x + k

If (x + 5) is a factor, which of the following is another factor?

a)

(x - 4)

b)

(x - 5)

c)

(x + 2)

d)

(x + 3)