Math 7 - 4

Math 7 - 4.6

Multiple Choice Identify the choice that best completes the statement or answers the question.

1. The circle graph shows the music preferences of a random sample of radio listeners. What percent of people

surveyed prefer Jazz or Rock?

Rock 35%

Country

Alternative

25%Jazz 15%

Classical 10%

15%

Music Preference

A) 50% B) 40% C) 65% D) 70%

2. The circle graph shows the breeds of registered dogs at the Clover City Kennel Club. What percent of dogs are Labrador Retrievers or German Shepherds?

Retriever 11%

Pug 14%

Labrador Retriever

Shepherd

Breeds of Registered Dogs

17%

Golden

Other 19%

39%

German

A) 46% B) 50% C) 56% D) 53%

3. The circle graph shows data on the suitability of land for farming. Which 2 categories account for a quarter of the land?

Chemical

Too dry 30%

problems 25%Suitable 20%

Too

13%

Land Suitability for Farming

Too w et 12%

shallow

A) Too wet, Too shallow, and Chemical problems B) Suitable, Too dry, and Chemical problems C) Too wet and Too shallow D) Suitable and Too dry

The circle graph shows how a college student breaks down her study time in a typical week.

French, 23%

Math, 21%

English, 11%

History, 31%

Art, 14%

Study Time per Week

4. What fraction of the time is spent on Art and Math?

A) about

B) about

C) about

D) about

5. If the student spends 40 h per week studying, how much time is spent studying Art? A) 4.4 h B) 9.3 h C) 5.6 h D) 6 h

6. If the student spends 40 h per week studying, how much time is spent studying Math and French? A) 9.2 h B) 8.4 h C) 17.6 h D) 18 h

7. Students were asked whether they spend too much or too little time watching television. The circle graph shows the responses of 120 students. How many students thought they watched too little television?

Too muchToo little

Aboutright 5%

Don't know 45%

Television Viewing

30% 20%

A) 84 students B) 24 students C) 6 students D) 36 students

8. The circle graph shows the different age groups of registered voters in the Cane Region. There are 5000 registered voters in the Cane Region. How many voters are over 60 years old?

Over 6025%

Ages 46-6030%

Ages 18-3415%

Ages 35-45

Ages of Registered Voters

30%

A) 1500 B) 1750 C) 1250 D) 750

9. Grade 7 students were surveyed on how many hours per day they spend on various activities. About how many hours per day are spent on socializing and watching TV?

How Students Spend Their Time

Eating 8%

Watching

Sleeping 33%

School 25%

TV 13%13%

Homew ork 8%

Socializing

A) 8 h B) 6 h C) 5 h D) 7 h

10. All 500 students at Robinson Junior High were surveyed to find their favourite sports. How many more students prefer basketball to baseball?

Baseball

Basketball

25%

27%

Soccer10%

Favourite Sports

Football38%

A) 10 students B) 125 students C) 135 students D) 260 students

11. Carol has a collection of 500 stamps. The circle graph shows the percent of stamps from each country. How many more stamps are from Norway than from England?

France

Norw ay

Italy

Carol's Stamp Collection

25%

England22%

24%

29%

A) 255 stamps B) 145 stamps C) 35 stamps D) 110 stamps

12. Grade 8 students were surveyed on how many hours per week they spend on various activities. About how many hours per week are spent on homework and school?

How Students Spent Their Time

Eating 8%

Watching

Sleeping 33%

School 25%

TV 13%13%

Homew ork 8%

Socializing

A) 55 h B) 54 h C) 56 h D) 57 h

Short Answer

13. The circle graph shows the results of a survey on the colour of a T-shirt students would buy to support a charity.

The organizer plans to sell 1000 T-shirts. How many of each colour should be ordered?

Purple

Red

Green

Favourite T-Shirt Colour

Blue33% 25%

13%

14. The circle graph shows the contents of one brand of peanut butter.

How much protein is in 838 g of peanut butter?

Carbohydrates35%

Protein25%

Fat40%

Contents of Peanut Butter

15. The circle graph shows how many students in different grades attended a concert. If 350 students attended the concert, how many students were in Grade 9?

Grade 8, 10%

Grade 9 Grade 1038% 52%

Concert Attendance

16. The circle graph shows Jack’s monthly budget.

Jack's Budget

Food25%

Housing30%

Other25%

Savings, 10%

Transport, 10%

Jack’s take home pay is $1620. a) How much does he spend on food?

b) How much does he save?

17. The circle graph shows the modes of transportation people use to get to work.

Travel to Work

DriveAlone56% Car Pool

18%

Transit12%

Other14%

If 150 people were surveyed, how many people use each mode of transportation? a) car pool?

b) other methods?

18. The circle graph shows how students travel to school.

Travel to School

Bus

38%

Walk24%

Car24%12%

Cycle

a) What percent of students either walk or cycle to school?

b) If 150 students were questioned, how many walk or cycle to school?

19. The circle graph shows how many hours per week students spend on chores.

If 80 students were questioned, how many students spend 15 - 19 h per week on chores?

Time Spent on Chores

0-4 h60%

5-9 h25%

10-14 h, 10%

15-19 h

20. The circle graph shows the votes to elect a president of the student council.

Votes for President

Kaylin15%

Briana45%

Chris30%

Vincent10%

a) Who was elected president?

b) If 600 students voted, how many votes did Briana get?

c) Do you think Chris should be vice president? Explain.

21. The circle graph shows the different modes of travel used by a group of people going on vacation. Holiday Travel

Car26%

Plane58%

Bus, 6%10%Other

a) What percent of people travelled by car or bus?

b) If 800 people were surveyed, how many people flew?

22. The circle graph shows students’ favourite facilities at the sports centre.

Favourite Facilities

Pool

44%

Gym

33%

Rink12%

Fitness Centre, 11%

a) What percent chose the gym or the fitness centre?

b) If 700 people were surveyed, how many chose the pool?

23. A group of students were asked about the books they most often borrowed from the college.

Library Borrowing

Math24%

12%

FictionReference

28%

History12%

Arts16%

Science, 8%

a) What percent of students borrowed Math or Science books?

b) If 225 students were surveyed, how many students made most use of reference books?

24. The circle graph shows the world diamond production for a particular year. This year the world production of diamonds was 30 000 kg.

Diamond Production

Botsw ana19%

DemocraticRepublic of Congo, 21%

Australia27%

Russia14%

Other10%

South Africa, 9%

a) What percent of diamonds did South Africa, Botswana, and the Democratic Republic of Congo produce?

b) What mass of diamonds was produced in Australia?

c) Canada produced 2% of the world production. How much did Canada produce?

Problem

25. A survey asked 1400 people their blood type.

Blood Type A B AB O Number of

People 560 154 56 630

Write the number of people with each blood type as a percent. Complete the circle graph by labelling each sector with its percent.

Blood Type

Type A Type O

Type B

Type AB

26. The graph shows the surface area of five lakes in a region.

Areas of Lakes

Long

18%

Horse

36%

Beaver

24%

Otter

10%

Alice

12%

a) Which two lakes cover the largest area?

b) If the total area of the lakes is 8000 km2, what is the area of each lake? i) Horse Lake ii) Beaver Lake

27. The circle graph shows the participants in a sponsored charity walk.

Charity Walk

Men35%

Women25%

Teenage boys20%

Teenage girls

a) What percent of participants were teenage girls?

b) If 272 teenagers took part, how many women took part?

c) How many females took part?

28. The circle graph shows Veronica’s weekly budget.

Weekly Budget

Food25%

Entertainment20%

Savings

Other25%

Transport, 10%

a) What percent of her money goes to savings?

b) If she budgets $58 for food, what is her total budget?

c) How much does she budget for transport?

29. A group of students are going to winter camp. They were asked to select their activity for the first day of camp.

Activity Ski Snowboard Skate Ice Climb Number of Students 27 36 18 9

Copy and complete the circle graph with the correct sector names and percents.

First Day Activities

Math 7 - 4.6 Answer Section

MULTIPLE CHOICE

1. ANS: A PTS: 1 DIF: Easy REF: 4.6 Interpreting Circle Graphs

LOC: 7.SP3 TOP: Statistics and Probability (Data Analysis) KEY: Conceptual Understanding

2. ANS: C PTS: 1 DIF: Easy REF: 4.6 Interpreting Circle Graphs LOC: 7.SP3 TOP: Statistics and Probability (Data Analysis) KEY: Conceptual Understanding

3. ANS: C PTS: 1 DIF: Easy REF: 4.6 Interpreting Circle Graphs LOC: 7.SP3 TOP: Statistics and Probability (Data Analysis) KEY: Conceptual Understanding

4. ANS: B PTS: 1 DIF: Moderate REF: 4.6 Interpreting Circle Graphs LOC: 7.SP3 TOP: Statistics and Probability (Data Analysis) KEY: Conceptual Understanding

5. ANS: C PTS: 1 DIF: Moderate REF: 4.6 Interpreting Circle Graphs LOC: 7.SP3 TOP: Statistics and Probability (Data Analysis) KEY: Procedural Knowledge


7. ANS: D PTS: 1 DIF: Moderate REF: 4.6 Interpreting Circle Graphs LOC: 7.SP3 TOP: Statistics and Probability (Data Analysis) KEY: Procedural Knowledge


9. ANS: B PTS: 1 DIF: Moderate REF: 4.6 Interpreting Circle Graphs LOC: 7.SP3 TOP: Statistics and Probability (Data Analysis) KEY: Procedural Knowledge

10. ANS: A PTS: 1 DIF: Moderate REF: 4.6 Interpreting Circle Graphs LOC: 7.SP3 TOP: Statistics and Probability (Data Analysis) KEY: Procedural Knowledge


12. ANS: A PTS: 1 DIF: Moderate REF: 4.6 Interpreting Circle Graphs LOC: 7.SP3 TOP: Statistics and Probability (Data Analysis) KEY: Procedural Knowledge

SHORT ANSWER

13. ANS:

Purple: = 130 Red: = 250 Blue: = 330

Green: = 290

PTS: 1 DIF: Moderate REF: 4.6 Interpreting Circle Graphs LOC: 7.SP3 TOP: Statistics and Probability (Data Analysis) KEY: Procedural Knowledge

14. ANS: 209.5 g


15. ANS: 133


16. ANS: a) $405 b) $162


17. ANS: a) 27 b) 21


18. ANS: a) 36% b) 54


19. ANS: 4


20. ANS: a) Briana b) 270 c) Answers will vary. Sample:

Yes because he was in second place

PTS: 1 DIF: Moderate REF: 4.6 Interpreting Circle Graphs LOC: 7.SP3 TOP: Statistics and Probability (Data Analysis) KEY: Communication

21. ANS: a) 32% b) 464


22. ANS: a) 44% b) 308


23. ANS: a) 32% b) 63


24. ANS: a) 49% b) 8100 kg c) 600 kg

PTS: 1 DIF: Difficult REF: 4.6 Interpreting Circle Graphs LOC: 7.SP3 TOP: Statistics and Probability (Data Analysis) KEY: Problem-solving Skills

PROBLEM

25. ANS:

Blood Type

Type A Type O

Type B

Type AB, 4%

40% 45%

11%

PTS: 1 DIF: Moderate REF: 4.6 Interpreting Circle Graphs LOC: 7.SP3 TOP: Statistics and Probability (Data Analysis) KEY: Problem-solving Skills

26. ANS: a) Horse Lake and Beaver Lake b) i) 2880 km2

ii) 1920 km2

PTS: 1 DIF: Moderate REF: 4.6 Interpreting Circle Graphs LOC: 7.SP3 TOP: Statistics and Probability (Data Analysis) KEY: Problem-solving Skills

27. ANS: a) 20% b) Total number of participants = 272 ÷ 0.40 = 680

Women: 0.25 680 = 170 c) Teenage girls: 0.20 680 = 136

Total number of females: 170 + 136 = 306


28. ANS: a) 20% b) 25% is one quarter. So, Veronica’s budget is: 4 × $58 = $232 c) 10% of $232 is $23.20. She budgets $23.20 for transport.


29. ANS:

First Day Activities

Ski

30%

Snow board

40%

Skate

20%

IceClimb10%


Math 7 - 4

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