Circle Graph

Circle Graph Game

Guess the favorite fruit of students in a class based on the circle graph.

Color Fruit
Orange
Apple
Banana
Grapes
Other

Graph Description: A circle graph showing the favorite fruit of students in a class.

Instructions: Study the circle graph and answer the questions below.

1. What percentage of students chose Apple as their favorite fruit?
2. Which fruit was the second most popular?
3. How many more students preferred Banana over Grapes?
4. What fraction of students chose Orange?
5. Which category represents the smallest percentage?

Challenge Problems:

1. If there are 40 students in the class, how many chose Other?
2. What percentage of students chose either Apple or Banana?
3. If 10 more students preferred Orange, what would the new percentage for Orange be?

Worksheet 2: Creating Circle Graphs

Data:

Instructions: Use the data above to create a circle graph. Calculate the percentage of time spent on each activity based on a 24-hour day.

Questions:

1. What percentage of the day is spent on Homework?
2. Which activity takes up the largest portion of the day?
3. How much time is spent on Reading as a fraction of the day?
4. What is the total percentage of time spent on Playing and Watching TV?
5. How does the time spent on Sleeping compare to the time spent on Other activities?

Challenge Problems:

1. If 2 more hours were spent on Playing, what would the new percentage be for Playing?
2. Calculate the angle for each activity to be used in the circle graph.
3. If the total time spent on Watching TV and Reading was combined, what would the new percentage be?

Worksheet 3: Interpreting Circle Graphs

Graph Description: A circle graph showing the distribution of a family’s monthly expenses.

Instructions: Study the circle graph and answer the questions below.

1. What percentage of the monthly expenses is spent on Rent?
2. Which category represents the smallest expense?
3. How much more is spent on Food compared to Utilities?
4. What fraction of the expenses is used for Savings?
5. Which two categories together make up 45% of the expenses?

Challenge Problems:

1. If the total monthly expenses are \$2000, how much is spent on Entertainment?
2. What is the combined percentage for Rent, Food, and Utilities?
3. If the expense for Savings increased by 5%, what would the new percentage for Savings be?

Worksheet 4: Comparing Circle Graphs

Graph Description: Two circle graphs showing the time spent on different activities by two students, Alex and Jamie, in a week.

Alex’s Activities:

Jamie’s Activities:

Instructions: Study the two circle graphs and answer the questions below.

1. Who spends more time studying, Alex or Jamie?
2. How much more time does Alex spend on Sports compared to Jamie?
3. Which activity does Jamie spend the most time on?
4. What is the percentage difference in time spent on Hobbies between Alex and Jamie?
5. Do Alex and Jamie spend the same amount of time on Other activities?

Challenge Problems:

1. If each student has 10 hours of free time per week, how many hours does Alex spend on Hobbies?
2. Calculate the time spent on Sports by Jamie if she has 15 hours of free time per week.
3. If Alex decided to spend 5% more time on Studying, what would his new percentage for Studying be?

Worksheet 5: Analyzing Circle Graphs

Graph Description: A circle graph showing the types of books read by students in a year.

Instructions: Study the circle graph and answer the questions below.

1. What percentage of books read are Fiction?
2. Which type of book is read the least?
3. How much more is the percentage for Fiction compared to History?
4. What fraction of books read are Science books?
5. If 200 books were read in total, how many were Non-fiction?

Challenge Problems:

1. Calculate the number of History books read if 200 books were read in total.
2. What is the combined percentage for Fiction and Science books?
3. If the percentage for Fiction decreased by 10%, what would the new percentage for Fiction be?

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