Free Printable Unit Circle and Stats Quizizz

1.

What are the coordinates of 60° on the unit circle?

a)

(0, 1)

b)

(1/2, √3/2)

c)

(√3/2, 1/2)

d)

(√2/2, 1/2)

2.

On the unit circle, which radian measure represents the point (^√3/₂, -¹/₂)

a)

^11π/₆

b)

^5π/₃

c)

^7π/₆

d)

^4π/₃

3.

Given the ordered pair (-¹/₂ , ^√3/₂), what is the value of cosine?

a)

√3

b)

^-1/₂

c)

^√3/₂

d)

^√3/₃

4.

Evaluate sin (7π/6).

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

5.

Evaluate cos (150^o).

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

6.

Find θ if $\sin\left(\theta\right)=-\frac{\sqrt{3}}{2}$ , and θ is in Quadrant III.

a)

4π/3

b)

7π/6

c)

3π/4

d)

5π/4

7.

In which quadrant does $\theta=210\degree$ lie?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

8.

In which quadrant does $\theta=\frac{3\pi}{4}$ lie?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

9.

What ordered pair is associated with $\theta=\frac{5\pi}{3}$

a)

$\left(\frac{\sqrt{3}}{2},\ -\frac{1}{2}\right)$

b)

$\left(\frac{1}{2},\ \frac{\sqrt{3}}{2}\right)$

c)

$\left(-\frac{1}{2},\ \frac{\sqrt{3}}{2}\right)$

d)

$\left(\frac{1}{2},\ -\frac{\sqrt{3}}{2}\right)$

10.

Evaluate $\sin\left(210\degree\right)$

a)

$-\frac{\sqrt{3}}{2}$

b)

$\frac{\sqrt{3}}{2}$

c)

$-\frac{1}{2}$

d)

$\frac{1}{2}$

11.

Evaluate $\cos\left(\frac{5\pi}{6}\right)$

a)

$-\frac{\sqrt{3}}{2}$

b)

$\frac{\sqrt{3}}{2}$

c)

$-\frac{1}{2}$

d)

$\frac{1}{2}$

12.

Evaluate $\sin\left(240\degree\right)$

a)

$-\frac{\sqrt{3}}{2}$

b)

$-\frac{1}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

$\frac{1}{2}$

13.

Which degree is equivalent to $\frac{\pi}{4}$ ?

a)

$210\degree$

b)

$45\degree$

c)

$150\degree$

d)

$60\degree$

14.

What is the coordinate point at $225\degree$ on the unit circle?

a)

$\left(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

b)

$\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

c)

$\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$

d)

$\left(\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$

15.

What is the order of the coordinate pairs for the points on the Unit Circle?

a)

$\left(\tan\theta,\sin\theta\right)$

b)

$\left(\cot\theta,\cos\theta\right)$

c)

$\left(\sin\theta,\cos\theta\right)$

d)

$\left(\cos\theta,\sin\theta\right)$

16.

What are the exact coordinates of

\frac{3\pi}{4}

on the unit circle?

a)

$\left(-\frac{\sqrt{2}}{2},\ \frac{\sqrt{2}}{2}\right)$

b)

$\left(-\frac{\sqrt{2}}{2},\ -\frac{\sqrt{2}}{2}\right)$

c)

$\left(-\frac{\sqrt{3}}{2},\ \frac{\sqrt{2}}{2}\right)$

d)

$\left(\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$

17.

Which quadrant would you find an ordered pair following this pattern in $\left(-\cos\theta,\ -\sin\theta\right)$ ?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

18.

Which quadrant would you find an ordered pair following this pattern in $\left(\cos\theta,\ -\sin\theta\right)$ ?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

19.

Find all angles that satisfy the equation, sin $\theta\ =\frac{1}{2}$

a)

$\frac{\pi}{6}$

b)

$\frac{\pi}{3}$

c)

$\frac{5\pi}{6}$

d)

$\frac{5\pi}{3}$

20.

What are the coordinates for $315\degree$ on the unit circle?

a)

$\left(\frac{1}{2},-\frac{\sqrt{3}}{2}\right)$

b)

$\left(\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$

c)

$\left(\frac{\sqrt{3}}{2},-\frac{1}{2}\right)$

d)

(1, 0)

21.

1.

a)

60°

b)

120°

c)

240°

d)

40°

22.

3.

a)

25°

b)

50°

c)

65°

d)

40°

23.

4.

a)

123°

b)

57°

c)

132°

d)

66°

24.

6.

a)

30°

b)

45°

c)

80°

d)

90°

25.

7.

a)

50°

b)

80°

c)

100°

d)

160°

26.

8.

a)

67.5°

b)

90°

c)

22.5°

d)

45°

27.

a)

A

b)

B

c)

C

d)

D

28.

a)

A

b)

B

c)

C

d)

D

29.

a)

A

b)

B

c)

C

d)

D

30.

Find the missing angles or arcs.

(a)

31.

Find the missing angles or arcs.

(a)

32.

Find the missing angles or arcs.

(a)

33.

Find the missing angles or arcs.

(a)

34.

a)

A

b)

B

c)

C

d)

D

35.

Find the length of BC.

a)

2

b)

3

c)

9

d)

14

36.

a)

33

b)

18

c)

46

d)

16

37.

Solve for x.

(a)

38.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

39.

What are the coordinates of the center and the radius of the circle with equation (x - 4)² + (y - 3)² = 25 ?

a)

Center (4, 3)

Radius = 5 units

b)

Center (4, 3)

Radius = 25 units

c)

Center (-4, -3)

Radius = 25 units

d)

Center (-4, -3)

Radius = 5 units

40.

The equation of a circle is x²+ y²+ 6x - 12y + 20 = 0. Write the equation in standard form.

a)

(x - 3)² + (y + 6)² = 25

b)

(x + 3)² + (y - 6)² = 25

c)

(x - 3)² + (y + 6)² = 45

d)

(x + 3)² + (y - 6)² = 5

41.

The diameter of a circle has length 12. The center is at $(-5,2)$ . Give the equation of the circle.

a)

$(x-2)^2+(y+5)^2=36$

b)

$(x-5)^2+(y+2)^2=6$

c)

$(x+5)^2+(y-2)^2=36$

d)

$(x+2)^2+(y-5)^2=6$

42.

In the equation $(x-3)^2+(y+4)^2=121$ the diameter of the circle is?

a)

242

b)

11

c)

121

d)

22

43.

Find the center of the circle if the endpoints of a diameter of the circle are at (-12, -7) and (3, 5)

a)

(-9/2, -1)

b)

(-15/2, -6)

c)

(9/2, 1)

d)

(15/2, 6)

44.

Calculate the length of the bold arc.

a)

49.7 ft

b)

15.8 ft

c)

24.9 ft

d)

3.14 ft

45.

What is the area of the shaded region? Round to the nearest hundredth.

a)

1.26

b)

452.39

c)

113.10

d)

40715.04

46.

Which would be a good Unbiased group?

a)

every third student entering the building

b)

every member of the varsity football team

c)

every member in Ms. Zimmer’s drama classes

d)

every student having a second-period French class

47.

A school newspaper will survey students about the quality of the school’s lunch program. Which method will create the least biased results?

a)

Twenty-five vegetarians are randomly surveyed.

b)

Twenty-five students are randomly chosen from each grade level.

c)

Students who dislike the school’s lunch program are chosen to complete the survey

d)

A booth is set up in the cafeteria for the students to voluntarily complete the survey.

48.

6. To see who has a computer at home the front office chooses 10 students randomly per grade to ask

a)

Biased

b)

Unbiased

49.

Ana wants to know the average student’s opinion of the tardy policy at her school. Which group of students should she survey in order to achieve the most accurate results?

a)

thirty students who are often tardy

b)

thirty students who are rarely tardy

c)

thirty of her friends

d)

thirty randomly selected students from her school

50.

Tamra wants to know how tall college basketball players are in Nebraska, so he asks for the heights of all the players on the Creighton basketball team.

a)

Biased

b)

Unbiased

51.

Erick wants to know how many hours of sleep college students get, so he surveys the 12 students in the front row of his college English class.

a)

Biased

b)

Unbiased

52.

You are doing a survey to find out what kids really think about school lunch and you stand outside a lunchroom and ask every 5th person from every grade.

a)

Biased (Unfair)

b)

Unbiased (Fair)

53.

A principal wanted to see which subject the 695 students in the school liked best. Which choice best represents a sample?

a)

The students making a B in math

b)

The girls in the school

c)

All the students in the school

d)

1 classroom for each grade

54.

A librarian at a school wanted to find out what genre of books students liked most. Which choice best represents a sample?

a)

Every 10th student who walks through the front door of the school

b)

All the teachers at the school

c)

All the students at the school

d)

Students who don't like to read

55.

Complete the definition:

A _______ is a subset of a population

a)

sample

b)

sampel

c)

people

d)

statistics

e)

group

56.

A beverage company wanted to see if people in the United States liked their new logo. Which choice best represents a population?

a)

A selection of logo artists.

b)

Every person in the United States.

c)

A selection of shoppers from different states.

d)

3,800 children age 5 - 15

57.

A survey of 976 American households found that 32% of the households own two cars. Identify the the sample. {hint: a survey of what __)

a)

All American households

b)

976 American households

c)

32% of Americans own two cars

d)

two cars

58.

A survey of 976 American households found that 32% of the households own two cars. Identify the the population. {hint: which group was targeted... used for the survey}

a)

All American households

b)

976 American households

c)

32% of Americans own two cars

d)

two cars

59.

There are 225 7th graders at L&C. You survey 28 of them to find out their favorite food. Which group is the population?

a)

225

b)

28

60.

The cholesterol levels of 20 patients in a hospital with 100 patients.

a)

Population

b)

Sample

61.

The political party of every U.S. President.

a)

Population

b)

Sample

62.

Identify the Population:
Gwinnett County Public Schools randomly selected 230 teachers to find out which technology resource is the most effective. 30 teachers chose Safari Montage, 45 selected Learn Zillion, 100 chose Ed Puzzle, and 55 chose Kahoot. GCPS concluded that all teachers prefer Ed Puzzle.

a)

230 Teachers

b)

All teachers

c)

100 Teachers

d)

55 Teachers

63.

Your mother wants to see how many fruits and vegetables you're eating. She asks you and your siblings to keep a food journal for the next month. She will then look through the journals to assess if you're getting enough fruit and vegetables. This is an example of what kind of study?

a)

Survey

b)

Observational Study

c)

Experiment

d)

Population

64.

Nick stood outside a movie theater and asked many of the patrons if they thought the movie they saw was good.

What data collection method was used?

a)

Observational Study

b)

Experiment

c)

Survey

d)

Simulation

65.

Which technique of gathering data do you think might be the most appropriate for the following studies?

a) Effect of a large scale earthquake

a)

simulation

b)

sampling

c)

experiment

d)

census

66.

Elise gave each member of the class a random cookie, some from recipe A and some from recipe B. Then she observed which students returned for a second cookie

What data collection method was used?

a)

Observational Study

b)

Experiment

c)

Survey

d)

Simulation

67.

A beverage company wanted to see if people in the United States liked their new logo. Which choice best represents a population?

a)

A selection of logo artists.

b)

Every person in the United States.

c)

A selection of shoppers from different states.

d)

3,800 children age 5 - 15

68.

A musician wanted to see what people who bought his last album thought about the songs. Which choice best represents a sample? .

a)

Every person who bought the album.

b)

A selection of people who didn't want to buy the album.

c)

250 girls who bought the album

d)

A selection of 3,294 people who bought the album.

69.

A gaming website wanted to find out which console its visitors owned. Which choice best represents a population?

a)

Visitors to the 3DS section.

b)

All of the website visitors.

c)

Visitors to the PS4 section.

d)

Visitors who are on the website for more than 5 minutes.

70.

Before a nation-wide election, a polling place was trying to see who would win. Which choice best represents a sample?

a)

A selection of voters over age 50.

b)

A selection of male voters.

c)

A selection of voters of different ages.

d)

All voters.

71.

A toy store owner tracking how much kids spend each month on toys. Which choice best represents a population?

a)

All of the kids who buy toys.

b)

227 wealthy kids.

c)

228 boys age 7 - 15

d)

235 kids from age 10 to 15.

72.

A mayor wanted to see if the people in his town thought he was doing a good job. Which choice best represents a sample?

a)

1,000 unemployed voters.

b)

The mayor's family.

c)

The residents of the town.

d)

242 voters.

73.

30% out of 200 Mr. Tran’s students earned A for the final grade average from the last semester.

Identify the population {which group was mentioned in the statement }

a)

200 Forest Park students

b)

30% of Forest Park students

c)

200 Mr. Tran's students

d)

30% of 200 Mr. Tran's students

74.

A survey of 1000 patients at Emory hospital found that 40% cases are heart disease treatment. Identify the population

a)

All Emory hospital patients

b)

1000 Emory hospital patients

c)

40% cases

d)

40 hear disease cases.

75.

A survey of 1000 patients at Emory hospital found that 40% cases are heart disease treatment. Identify the sample.

a)

All Emory hospital patients

b)

1000 Emory hospital patients

c)

40% cases

d)

40 hear disease cases.

76.

Complete the definition:

A _________ consists of all subjects (human or otherwise) that are being studied

a)

Statistics

b)

Number

c)

People

d)

Population

e)

Pueblo

77.

Complete the definition:

A _______ is a subset of a population

a)

sample

b)

sampel

c)

people

d)

statistics

e)

group

78.

A school surveys all 7th grade boys to determine what to sell in the school store. This sample is _________.

a)

Biased

b)

Unbiased

c)

Representative

d)

Peanut butter cups

79.

A school survey asked 50 girls to identify their favorite items on the school cafeteria menu. This sample is ________________.

a)

Biased

b)

Unbiased

c)

Representative

d)

Numerical

80.

The choir director in a high school wants to know how the students in the school feel about singing. If the director selects 100 girls and 100 boys to complete a survey, which method will result in a biased sample?

a)

The students will be selected from the choir

b)

The students will be selected randomly throughout the school

c)

The students will be selected on Wednesday afternoon before the choir concert

d)

The choir director will select five students from each of the forty homerooms in the school

81.

Ana wants to know the average student’s opinion of the tardy policy at her school. Which group of students should she survey in order to achieve the most accurate results?

a)

thirty students who are often tardy

b)

thirty students who are rarely tardy

c)

thirty of her friends

d)

thirty randomly selected students from her school

82.

5. A hospital wants to open a gym. They ask the night-shift ER staff when they would use the gym.

a)

Biased

b)

Unbiased

83.

4. Carlos wants to know the favorite sport of people at his school so he asks his baseball team.

a)

A. Biased

b)

B. Unbiased

84.

A computer science teacher wants to know how often students at a school access the Internet. The teacher uses a sample of students from one of her computer classes.

a)

Biased

b)

Unbiased

85.

Your school principal randomly selects 5 students from each grade to complete a survey about school spirit.

a)

Biased

b)

Unbiased

86.

Identify the data collection method:

A park ranger measures and records the heights of trees in a park as they grow.

a)

Experiment

b)

Observational

c)

Simulation

d)

Survey

87.

A researcher uses a computer program to help determine how fast a virus might spread within a city.

a)

Survey

b)

Experiment

c)

Simulation

d)

Observational Study

88.

A researcher places bacteria samples in two different climates. The research then measures the bacteria growth in each sample after 3 days.

a)

Simulation

b)

Experiment

c)

Observational Study

d)

Survey

89.

The admissions office wants to estimate the cost of textbooks for students at the University of Minnesota. The plan is to select 100 students from the math building and obtain their total text book costs. What is the population?

a)

The admissions office

b)

Total textbook costs

c)

100 students from the math building

d)

University of MN students

90.

a method of collecting information about a certain group of people by asking a question or set of questions

a)

survey

b)

results

c)

population

d)

sample

91.

Elise gave each member of the class a random cookie, some from recipe A and some from recipe B. Then she observed which students returned for a second cookie

What data collection method was used?

a)

Observational Study

b)

Experiment

c)

Survey

d)

Simulation

92.

Nick stood outside a movie theater and asked many of the patrons if they thought the movie they saw was good.

What data collection method was used?

a)

Observational Study

b)

Experiment

c)

Survey

d)

Simulation

93.

Steven observed students entering a classroom for class and recorded whether the first half of the students who arrived for class chose to sit in the front half of the room.

What data collection method was used?

a)

Observational Study

b)

Experiment

c)

Survey

d)

Simulation

Unit Circle and Stats Quizizz

Total questions: 93

Worksheet time: 16hrs 30mins

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