Free Printable Q3 Review

1.

How many degrees does circle have?

a)

360 degrees

b)

2pi

c)

180 degrees

d)

pi

2.

How many radians does a circle have?

a)

360 degrees

b)

2pi radians

c)

pi radians

d)

^{2 radians}

3.

When the rotation from initial to terminal side is counterclockwise this describes.

a)

Positive Angle

b)

Negative Angle

4.

Which of the following is closest to the measure of the angle shown?

a)

7/10 π

b)

3/8 π

c)

7/20 π

d)

3/2 π

5.

Which of the following is closest to the measure of the angle drawn by the green curve?

a)

5/6 π

b)

5/3 π

c)

4/5 π

d)

4/3 π

6.

Which quadrant is -5π/6 in?

a)

I

b)

II

c)

III

d)

IV

7.

Which quadrant is 2π/3 in?

a)

I

b)

II

c)

III

d)

IV

8.

In what quadrant is 285°

a)

I

b)

II

c)

III

d)

IV

9.

What is the co-terminal angle of 210⁰ ?

a)

-30⁰

b)

-150⁰

c)

-40⁰

d)

150⁰

10.

What is the co-terminal angle of -80⁰ ?

a)

-10⁰

b)

-280⁰

c)

10⁰

d)

280⁰

11.

Which of the following is a negative co-terminal angle of 165 degrees?

a)

-165

b)

525

c)

-525

d)

-555

12.

What is 5π/6 radians in degrees?

a)

180

b)

150

c)

360

d)

120

13.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

14.

What is 3π/4 radians in degrees?

a)

315

b)

135

c)

150

d)

330

15.

What is 360 degrees in radians?

a)

2π/3

b)

5π/4

c)

2π

d)

π

16.

What is 45 degrees in radians?

a)

π/2

b)

π/6

c)

π/4

d)

3π/4

17.

What is 60 degrees in radians?

a)

2π/3

b)

π/3

c)

4π/3

d)

π/6

18.

Convert to DMS:
37.245°

a)

37°14′ 7″

b)

37° 24′ 5″

c)

37° 14′ 42″

d)

37° 24′ 30″

19.

Which angle is supplementary to 3π/4?

a)

6π/4

b)

180°

c)

π/4

d)

− 5π/4

20.

Which angle is complementary to π/3?

a)

2π/3

b)

π/6

c)

− 5π/3

d)

5π/3

21.

Find the co-terminal angle to 150^o

a)

510

b)

210

c)

550

d)

-300

22.

Find the reference angle of 120 ⁰

a)

30

b)

60

c)

20

d)

180

23.

Find the reference angle of 420⁰

a)

25

b)

50

c)

400

d)

60

24.

Find the reference angle of -19π / 18

a)

π/18

b)

π/9

c)

5π/2

d)

-π/18

25.

2π/3

a)

π/4

b)

π/6

c)

π/3

d)

π/5

26.

What is the reference angle for -485^o

a)

45^o

b)

55^o

c)

-210^o

d)

√3

27.

Find a coterminal angle to -1,330^o

a)

-250

b)

-150

c)

-1,400

d)

60

28.

Find a coterminal angle to 3π/7

a)

-5π/7

b)

2π

c)

31π/7

d)

28π/7

29.

If you are given the two sides that are not the hypotenuse, which trigonometric function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

30.

If you are given the hypotenuse and an adjacent leg, which trigonometric function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

31.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

32.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

33.

What is the height of the tree? Round the the nearest foot.

a)

38 ft

b)

63 ft

c)

20 ft

d)

98 ft

34.

What is the value of d? Round to the nearest tenth of a meter.

a)

18.9 m

b)

19.5 m

c)

47 m

d)

27.5 m

35.

Find the measure of the missing angle. Round to the nearest degree.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

36.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.2

d)

19.4

37.

Solve for the missing angle. Round the nearest degree.

a)

50

b)

1

c)

37

d)

95

38.

Find the value of x. Round to the nearest tenth.

a)

12.2

b)

14.6

c)

16

d)

15.4

39.

Find the length of x. Round the nearest hundredth.

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

40.

Find the length of side y. Round to the nearest hundredth.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

41.

Find the length of x. Round the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

42.

Find cos∠A as a decimal rounded the the nearest ten-thousandth.

a)

.4706

b)

1.875

c)

.8824

d)

.5333

43.

The 3 sides, with respect to angle A are :

a)

Hypotenuse = 5
Adjacent Leg = 3
Opposite Leg = 4

b)

Hypotenuse = 5
Adjacent Leg = 4
Opposite Leg = 3

c)

Hypotenuse = 3
Adjacent Leg = 4
Opposite Leg = 5

d)

Hypotenuse = 3
Adjacent Leg = 5
Opposite Leg = 4

44.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

45.

What would you use to solve for a?

a)

sine

b)

cosine

c)

tangent

d)

Pythagorean Theorem

46.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

47.

What is the reference angle for 45°?

a)

45°

b)

135°

c)

180°

d)

2∏

48.

What is the ratio for Sine?

a)

Opposite Leg / Adjacent Leg

b)

Opposite Leg / Hypotenuse

c)

Adjacent Leg / Hypotenuse

d)

Adjacent Leg / Opposite Leg

49.

What is sin^-1(1/2)?

a)

150

b)

120

c)

60

d)

30

50.

What is the ratio for Tangent?

a)

Adjacent Leg / Opposite Leg

b)

Adjacent Leg / Hypotenuse

c)

Opposite Leg / Hypotenuse

d)

Opposite Leg / Adjacent Leg

51.

Solve for DE

a)

36.5

b)

18.8

c)

8.5

d)

7.9

52.

Find m∠N

a)

14

b)

65

c)

76

d)

53

53.

A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

a)

39.6

b)

6.0

c)

14.8

d)

13.6

54.

Based on your unit circle cos(30^o)=

a)

1

b)

1/2

c)

sqt3/2

d)

sqt2/2

55.

Based on your unit circle sin(0^o)=

a)

1

b)

-1

c)

0

d)

1/2

56.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

a)

15

b)

40

c)

80

d)

10

57.

At a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

a)

180

b)

23

c)

12

d)

60

58.

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

a)

32

b)

192

c)

40,320

d)

51,200

59.

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?

a)

30

b)

17

c)

90

d)

270

60.

The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?

a)

7 because 2 + 3 + 2

b)

12 because 2 x 3 x 2

61.

A seven-question quiz has 4 true/false questions followed by 3 multiple choice questions. For each multiple choice question there are four possible answers. In how many different ways is it possible to answer the seven questions?

a)

12

b)

80

c)

28

d)

1024

62.

Harpo, Groucho, Chico, Zeppo, Gummo and Karl are running in a race. How many different orders of finish are possible?

a)

36

b)

64

c)

720

d)

46656

63.

An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream. A customer gets to choose a cone and a type of ice cream. How many events are described here?

a)

1

b)

2

c)

3

d)

93

64.

Cate's history quiz has 3 true/false questions. When Cate takes the quiz, how many events will occur?

a)

2

b)

3

c)

8

d)

None of the these

65.

If you draw a random card from a standard deck of cards, how many possible outcomes?

a)

13

b)

26

c)

52

d)

54

66.

If you roll two dice, how many possible outcomes?

a)

360

b)

1

c)

36

d)

12

67.

Yummy-Yum has prepared cupcakes with five different toppings: sprinkles, coconut, chocolate chip, oreo crumbles, and M&M’s. In how many ways can they arrange three of the cupcakes in a display case?

a)

60

b)

125

c)

15

d)

12

68.

Which method of finding the total outcomes of an event allows you to see all possible outcomes?

a)

fundamental counting principle

b)

experimental probability

c)

theoretical probability

d)

tree diagram

69.

Find the total number of outcomes for picking a day of the week and a month of the year.

a)

19

b)

84

c)

60

d)

210

70.

Find the total number of outcomes when choosing between vanilla, strawberry, chocolate or mint chocolate chip ice cream with fudge, butterscotch, strawberry or whipped topping, in a cone or a cup.

a)

16

b)

8

c)

32

d)

3

71.

How many total outfit options are represented?

a)

12

b)

22

c)

3

72.

The cafeteria is serving three kinds of sandwiches: tuna (T), chicken, (C), and peanut butter (P). They are also serving a choice of two drinks: milk (M) or water (W). Which shows the complete set of possible combinations?

a)

TW, CW, PW

b)

TW, TM, TC, CW, PW

c)

TW, TM, CW, CM, PW, PM

d)

TCP, MW

73.

The tree diagram shows the outcomes of rolling a die and flipping a coin.
How many total outcomes are there?

a)

6

b)

12

c)

24

d)

36

74.

The Palace of Pizza offers small, medium, or large pizzas with 14 different toppings available. How many different 1-topping pizzas do they serve?

a)

3 x 14 = 42

b)

3 + 14 = 17

c)

14 x 14 x 14 = 2744

d)

14 x 13 x 12 = 2184

75.

The letters A, B, C, and D are used to form four-letter passwords for entering a computer file. How many passwords are possible if letters can be repeated?

a)

4 x 4 x 4 x 4 = 256

b)

4 x 3 x 2 x 1 = 24

c)

4 + 4 + 4 + 4 = 16

d)

4 + 3 + 2 + 1 = 10

76.

A restaurant serves 5 main dishes, 3 salads, and 4 desserts. How many different meals could be ordered if each has a main dish, a salad, and a dessert?

a)

5 x 3 x 4 = 60

b)

5 + 3 + 4 = 12

77.

How many license plates consisting of three letters followed by three numbers are possible when no repetition is allowed?

a)

26 x 25 x 24 x 10 x 9 x 8 = 11232000

b)

26 x 26 x 26 x 10 x 10 x 10 = 17576000

c)

26 x 25 x 24 x 9 x 8 x 7 = 7862400

d)

26 x 26 x 26 x 9 x 9 x 9 = 12812904

78.

How many license plate numbers consisting of three letters followed by three numbers are possible when repetition is allowed?

a)

26 x 26 x 26 x 10 x 10 x 10 = 17576000

b)

26 x 25 x 24 x 10 x 9 x 8 = 11232000

c)

26 x 26 x 26 x 9 x 9 x 9 = 12812904

d)

26 x 25 x 24 x 9 x 8 x 7 = 7862400

79.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

a)

15

b)

40

c)

80

d)

10

80.

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?

a)

30

b)

17

c)

90

d)

270

81.

In Cornville, bicycle license plates have 2 letters followed by a 1-digit number. How many different license plates are possible?

a)

6760

b)

62

c)

2600

d)

6084

82.

A seven-question quiz has 4 true/false questions followed by 3 multiple choice questions. For each multiple choice question there are four possible answers. In how many different ways is it possible to answer the seven questions?

a)

12

b)

80

c)

28

d)

1024

83.

Sarah plays softball over the summer. If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

a)

1

b)

3628800

c)

100

d)

1814400

84.

In the orchestra, there are eight violinists in the front row. How many different ways can they be seated?

a)

40320

b)

1

c)

64

d)

8

85.

Brianna’s school day consists of six classes. How many different ways can her schedule be arranged?

a)

720

b)

36

c)

100

d)

500

86.

At a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

a)

180

b)

23

c)

12

d)

60

87.

You are about to take 6 question test. Each question has 4 possible answer choices. How many ways can you answer the test if you answer each question?

a)

4096

b)

24

c)

1296

d)

10

88.

How many styles of sneakers are possible if Jared can choose from high-top or low-top, shoelaces or velcro, and the colors black, white, and red?

a)

12

b)

7

c)

223

d)

64

89.

Shoppers in a large shopping mall are categorizes as male or female, over 40 or under 40, and cash or credit card shoppers. In how many ways can shoppers be categorized?

a)

160

b)

6

c)

8

d)

16

90.

What is the total number of outcomes for picking a cat or dog and choosing the colors black, brown or spotted?

a)

2

b)

4

c)

6

d)

8

91.

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

a)

12

b)

60

c)

15

d)

30

92.

Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?

a)

23

b)

840

c)

42

d)

3,628,800

93.

How many ways ways can you arrange the letters in the word math?

a)

15

b)

4

c)

24

d)

48

94.

What does the P stand for in _nP_r?

a)

Partners

b)

Positions

c)

Papers

d)

Permutations

95.

What does the P stand for in _nP_r?

a)

Partners

b)

Positions

c)

Papers

d)

Permutations

96.

₇P₂

a)

0

b)

7

c)

42

d)

210

97.

What does ₁₀P₅mean?

a)

Permutations with 5 choices and 10 positions

b)

Permutations with 10 choices and 5 positions

c)

Permutations with 5 numbers and 10 operations

d)

Permutations with 5 hot dogs and 10 drinks

98.

Permutation, combination, or neither?

The batting order for seven players on a 12 person team.

a)

combination

b)

permutation

c)

neither

d)

arithmetic

99.

There are six people people, including you and your enemy, in a line. In how many ways can you arrange yourselves such that you and your enemy will never be beside each other?

a)

240 ways

b)

720 ways

c)

480 ways

d)

670 ways

100.

In how many ways can you arrange seven people to be seated in a round table?

a)

5040 ways

b)

120 ways

c)

720 ways

d)

840 ways

101.

How many distinct permutations can be made from the word INDEPENDENCE?

a)

1763200 permutations

b)

1664200 permutations

c)

1863200 permutations

d)

1663200 permutations

102.

In how many ways can you arrange the letters of the word EDUCATION such that the vowels are always together?

a)

120 ways

b)

14400 ways

c)

362880 ways

d)

6547234 ways

103.

How many ways can you listen to 3 songs from a CD that has 12 selections?

a)

1320

b)

33

c)

36

104.

Picking a President, Vice-President, and Secretary from a group of 12.

a)

Permutation

b)

Combination

105.

Choosing 3 toppings for your sundae out of a list of 15.

a)

Permutation

b)

Combination

c)

Neither

106.

In how many ways can 3 different vases be arranged on a tray?

a)

3

b)

9

c)

6

d)

12

107.

Sarah plays softball over the summer. If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

a)

1

b)

3628800

c)

100

d)

1814400

108.

Six friends are going to play a ball game. Each team has 3 players. How many different team combinations are possible?

a)

120

b)

6

c)

18

d)

20

109.

Kimberly has seven colors of lanyards. She uses three different colors to make a key chain. How many different combinations can she choose?

a)

210

b)

5.040

c)

6

d)

35

110.

In how many ways can a group of 4 boys be selected from 10 if the oldest boy is included in each group?

a)

84

b)

81

c)

504

d)

6

111.

Which of the following is an example of combination?

a)

Form a passcode with 4 digits

b)

Students line up in a queue to assembly

c)

Choose 4 students in a class committee

d)

Choose the chairperson, secretary and treasurer in a club

112.

Picking a team of three people out of a group of 10.

a)

Permutation

b)

Combination

c)

Neither

113.

How many combinations of 4 letters are possible from the letters A B C D E?

a)

4

b)

5

c)

6

d)

69

114.

Standard position is when .....

a)

the initial side of the angle is on the positive x-axis.

b)

the initial side of the angle is on the negative x-axis.

c)

the initial side of the angle is on the positive y-axis.

d)

the initial side of the angle is on the negative y-axis.

115.

Negative angles are measured in which direction from standard position?

a)

Clockwise

b)

Counterclockwise

116.

Positive angles are measured in which direction from standard position?

a)

Clockwise

b)

Counterclockwise

117.

In which quadrant is -570⁰

a)

I

b)

II

c)

III

d)

IV

118.

In which quadrant would you find an angle measuring -700°?

a)

1

b)

2

c)

3

d)

4

119.

-500^o is in which quadrant?

a)

I

b)

II

c)

III

d)

IV

120.

570° is found in which quadrant?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

121.

Find a coterminal angle to 45°.

a)

360°

b)

405°

c)

315°

d)

295°

122.

Find a coterminal angle to 5°.

a)

365°

b)

255°

c)

-220°

d)

-365°

123.

In what quadrant is -285°?

a)

I

b)

II

c)

III

d)

IV

124.

Find a coterminal angle to -90°.

a)

-450°

b)

90°

c)

180°

d)

-180°

125.

Find a coterminal angle to -27°.

a)

-387°

b)

27°

c)

323°

d)

-393°

126.

What are the negative and positive coterminal angles of 240°?

a)

540°, -120°

b)

600°, -120°

c)

425°, -240°

d)

120°, -135°

127.

What are the negative and positive coterminal angles of -225°?

a)

375°, -600°

b)

125°, -356°

c)

135°, -585°

d)

60°, -120°

128.

Find an angle coterminal with an angle which measures 11π ∕ 3.

a)

17 π / 3

b)

4π ∕ 3

c)

π ∕ 3

d)

8π ∕ 3

129.

Find an angle coterminal with an angle measuring 17π / 4 radians.

a)

π ∕ 3

b)

5π ∕ 4

c)

π ∕ 4

d)

13π ∕ 4

130.

What is the reference angle for -30°?

a)

150°

b)

30°

c)

80°

d)

60°

131.

What is the reference angle for 240°?

a)

60°

b)

30°

c)

45°

d)

210°

132.

What is the reference angle for 63°?

a)

117°

b)

207°

c)

63°

d)

153°

133.

What is positive in Q4?

a)

all trig functions

b)

sine

c)

cosine

d)

tangent

134.

What is the value of d? Round to the nearest tenth of a meter.

a)

18.9 m

b)

19.5 m

c)

47 m

d)

27.5 m

135.

What is the reference angle for 275 degrees?

a)

85 degrees

b)

95 degrees

c)

-85 degrees

d)

-95 degrees

136.

What is 5π/6 radians in degrees?

a)

180

b)

150

c)

360

d)

120

137.

What is 120 degrees in radians?

a)

2π/3

b)

π/3

c)

5π/3

d)

4π/3

138.

What is 11π/6 radians in degrees?

a)

30

b)

330

c)

360

d)

300

139.

Which of the following is a negative coterminal angle of 165 degrees?

a)

195

b)

525

c)

-525

d)

-195

140.

What are the negative and positive coterminal angles of 240 degrees?

a)

540°, -120°

b)

600°, -120°

c)

425°, -240°

d)

120°, -135°

141.

Find a coterminal angle to 45 degrees.

a)

360

b)

405

c)

315

d)

295

142.

The red ray could be the terminal side of which angle?

a)

30°

b)

60°

c)

45°

d)

90°

143.

angles sharing a terminal ray

a)

positive angles

b)

reference angle

c)

coterminal angles

d)

I don't know

144.

An angle with a measure between 0 and 90 degrees is called an _____________________.

a)

acute angle

b)

right angle

c)

obtuse angle

d)

straight angle

145.

What are these figures called?

a)

Points

b)

Lines

c)

Angles

d)

Planes

146.

What is the measure of the given angle?

a)

-960 degrees

b)

-985 degrees

c)

-970 degrees

d)

-980 degrees

147.

What is the measure given?

a)

-1065 degrees

b)

-915 degrees

c)

-1045 degrees

d)

-1005 degrees

148.

What quadrant does the terminal side lie?

a)

1

b)

2

c)

3

d)

4

149.

_{What is the measure of the angle?}

a)

110 degrees.

b)

140 degrees.

c)

150 degrees.

d)

170 degrees.

150.

A Mathmatics test contains five different questions labeled A, B, C, D, and E. You are supposed to choose 2 to answer. How many different ways are there to do this?

a)

5

b)

10

c)

15

151.

A family of 3 plans to sit in the same row at a movie theater. How many ways can the family be seated in 3 seats?

a)

3

b)

6

c)

1

152.

A group of 8 swimmers are swimming in a race. Prizes are given for first, second, and third place. How many different outcomes can there be?

a)

336

b)

56

c)

24

153.

How many different ways can 9 people line up for a picture?

a)

362 880

b)

40 320

c)

387 420 489

154.

Four students need to be selected from a class

of 15 to help clean up the campus. How many different ways can the 4 students be chosen?

a)

32 760

b)

60

c)

1 365

155.

A basketball team has 12 members who can play any position. How many different ways can the coach choose 5 starting players?

a)

95 040

b)

792

c)

60

156.

A basketball team has 12 members who can play any position. How many different ways can the coach choose 5 starting players if the captain MUST play the first half?

a)

792

b)

495

c)

330

157.

When ordering a pizza, you can choose 2 toppings from the following: mushrooms, olives, pepperoni, pineapple, and sausage. How many different types of pizza can you order?

a)

10

b)

20

c)

30

158.

Nine students in a Mathematics contest are competing for first, second and third prize. How many ways can the 3 students be chosen?

a)

27

b)

84

c)

504

159.

You are ordering a triple-scoop ice-cream cone. There are 18 flavours to choose from and you don’t care which flavor is on the top, middle, or bottom. How many different ways can you select a triple-scoop ice-cream cone?

a)

54

b)

816

c)

4896

160.

An art gallery has 12 paintings in storage. They have room to display 4 of them, with each painting in a different room. How many possible ways can they display the 4 additional paintings.

a)

11 880

b)

495

c)

48

Q3 Review

Total questions: 160

Worksheet time: 3hrs 40mins

Similar Resources on Wayground