circle graphs quiz 2

Interpreting Circle Graphs - Sample Problems

Multiple Choice

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

____ 1. Hannah created a table of the different types of music in a CD collection.

Music Types Percentage of

CDs

Rock 10

R&B 30

Country 15

Oldies 25

Pop 20

Hannah started to create the circle graph shown to represent these data.

Rock

R&B

Country

Oldies

Oldies

What type of music does the shaded region represent?

a. R&B

b. Pop

c. Oldies

d. Country

e. Rock

____ 2. Chris created a table of the different types of music in a CD collection.

Music Types Percentage of

CDs

Oldies 30

R&B 10

Country 20

Pop 15

Rock 25

Chris started to create the circle graph shown to represent these data.

Oldies

R&B

Country

Pop

Rock

What type of music does the shaded region represent?

a. Rock

b. R&B

c. Oldies

d. Pop

e. Country

____ 3. The graph shows how the city budget is distributed among five departments.

The city spends about $4 million on garbage.

About how much does the city spend on parks?

a. $8 million

b. $2 million

c. $12 million

d. $29 million

e. $4 million

____ 4. The graph shows how the city budget is distributed among five departments.

The city spends about $10 million on garbage.

About how much does the city spend on roads?

a. $10 million

b. $5 million

c. $30 million

d. $20 million

e. $26.5 million

____ 5. John surveyed 27 students in the class to determine each student’s favorite subject. The results are shown in

the table:

Favorite subject Choices Number of Students

math 10

science 5

social studies 4

language arts 5

phys. ed. 3

Construct a circle graph that gives a reasonable representation of the data.

a.

math

science

social studies

language arts

phys. ed.

subject

b.

math

science

social studies

language arts

phys. ed.

subject

c.

math

science

social studies

language arts

phys. ed.

subject

d.

math

science

social studies

language arts

phys. ed.

subject

e.

math

science

language arts

subject

f.

math

science

social studies

language arts

subject

____ 6. Mike surveyed 25 students in the class to determine each student’s favorite movie. The results are shown in

the table:

Favorite movie Choices Number of Students

Shrek 3 10

Pirates of the Caribbean 4

Spider-Man 3 4

Transformers 3

The Simpsons 4

Construct a circle graph that gives a reasonable representation of the data.

a.

Shrek 3

Pirates of the Caribbean

Spider-Man 3

Transformers

The Simpsons

movie

b.

Shrek 3


Spider-Man 3

Transformers

The Simpsons

movie

c.

Shrek 3


Spider-Man 3

Transformers

The Simpsons

movie

d.

Shrek 3


Spider-Man 3

Transformers

The Simpsons

movie

e.

Shrek 3


Transformers

movie

f.

Shrek 3


Spider-Man 3

Transformers

movie

____ 7. In a recent election, 112 students voted for the sixth-grade class president. The results are shown in the graph.

Adam

John

George

Aaron

Election Results

About how many votes did Adam receive?

a. 56 votes d. 42 votes

b. 28 votes e. 84 votes

c. 14 votes f. 70 votes

____ 8. In a recent election, 112 students voted for the sixth-grade class president. The results are shown in the graph.

Aaron

Hilary

Fred

David

Election Results

About how many votes did Fred receive?

a. 42 votes d. 84 votes

b. 56 votes e. 70 votes

c. 14 votes f. 28 votes

Interpreting Circle Graphs - Sample Problems

Answer Section

MULTIPLE CHOICE

1. ANS: A

R&B

Rock

R&B

Country

Oldies

Oldies

You basically look at the shaded region and see how it compares to the other unshaded regions. If it is the

biggest region, you would pick the type of music that is the largest, etc.

PTS: 1 DIF: 1 REF: 5th Grade Math Ohio Achievement Test: Spring 2006

OBJ: Determine appropriate dta to be collected to answer quetions posed by student or teacher, collect and

display data, and clearly communicate findings.

NAT: Collect, organize, display and interpret data for a specific purpose or need.

STA: 5.DAP.4 LOC: 5.DAP.E TOP: Graphs

KEY: circle graph, pie chart, table, percent

2. ANS: C

Oldies

Oldies

R&B

Country

Pop

Rock

You basically look at the shaded region and see how it compares to the other unshaded regions. If it is the

biggest region, you would pick the type of music that is the largest, etc.


OBJ: Determine appropriate dta to be collected to answer quetions posed by student or teacher, collect and

display data, and clearly communicate findings.


STA: 5.DAP.4 LOC: 5.DAP.E TOP: Graphs

KEY: circle graph, pie chart, table, percent

3. ANS: B

$2 million

They gave the amount spent on garbage. When estimating, it looks like the police section of the graph is

about three times the size of the garbage. It looks as though the amount spent on roads is the same as the

amount spent on garbage. The amount spent on parks is about half the amount spent on garbage. The amount

spent on fire is about double the amount spent on garbage.

Police spendings:

Roads spending:

Parks spending:

Fire spendings:


OBJ: Read, construct and interpret line graphs, circle graphs and histograms.


STA: 6.DAP.1 LOC: 6.DAP.E TOP: Graphs KEY: pie chart/circle graph

4. ANS: A

$10 million

They gave the amount spent on garbage. When estimating, it looks like the police section of the graph is

about three times the size of the garbage. It looks as though the amount spent on roads is the same as the

amount spent on garbage. The amount spent on parks is about half the amount spent on garbage. The amount

spent on fire is about double the amount spent on garbage.

Police spendings:

Roads spending:

Parks spending:

Fire spendings:


OBJ: Read, construct and interpret line graphs, circle graphs and histograms.


STA: 6.DAP.1 LOC: 6.DAP.E TOP: Graphs KEY: pie chart/circle graph

5. ANS: A

math

science

social studies

language arts

phys. ed.

subject

You want to pick the graph that has the best proportional representation of the data. This is best done by

looking at the values and trying to match up which section on the graph is relative to the information given in

the table. The most number of student responses will have the largest section of the graph. The smallest

number of student responses will have the smallest section in the graph.

PTS: 1 DIF: 3 REF: 6th Grade Math Achievement: Spring 2007

OBJ: Read, construct and interpret line graphs, circles graphs and histograms

STA: 6.DAP.1 TOP: Graphs: Circle Graphs KEY: circle, pie, graph, chart

6. ANS: A

Shrek 3


Spider-Man 3

Transformers

The Simpsons

movie

You want to pick the graph that has the best proportional representation of the data. This is best done by

looking at the values and trying to match up which section on the graph is relative to the information given in

the table. The most number of student responses will have the largest section of the graph. The smallest

number of student responses will have the smallest section in the graph.



STA: 6.DAP.1 TOP: Graphs: Circle Graphs KEY: circle, pie, graph, chart

7. ANS: B

To solve this problem, you need to first identify what fraction of the circle you are dealing with. Make sure to

identify the correct portion of the circle graph. In this case we are looking at Adam. This candidate represents

1

4 of the circle. Then you just need to find out how many voters this fraction represents. You can multiply to

find this out. . You may also turn the fraction into a decimal and multiply that by the number

of voters if you are more comfortable with this procedure.

If you are getting stuck, it might help to find out other portions of the circle graph and try to work from there.



STA: 6.DAP.1 TOP: Graphs: Circle Graphs/Pie Charts

KEY: circle graph, pie chart, problem-solving

8. ANS: A

To solve this problem, you need to first identify what fraction of the circle you are dealing with. Make sure to

identify the correct portion of the circle graph. In this case we are looking at Fred. This candidate represents

3

8 of the circle. Then you just need to find out how many voters this fraction represents. You can multiply to

find this out. . You may also turn the fraction into a decimal and multiply that by the number

of voters if you are more comfortable with this procedure.

If you are getting stuck, it might help to find out other portions of the circle graph and try to work from there.



STA: 6.DAP.1 TOP: Graphs: Circle Graphs/Pie Charts

KEY: circle graph, pie chart, problem-solving

circle graphs quiz 2

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