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Worksheet: Circle Graphs

Q1:

The results of a survey on the favorite hobbies of students are shown in the pie chart. What is the measure of the angle of the sector representing swimming?

  • A 7 9 . 2
  • B 7 5 . 6
  • C 5 4
  • D 6 1 . 2
  • E 2 9 8 . 8

Q2:

The pie chart shows the proportions of students in a year group who play basketball, football, and volleyball. Given that there are 108 students in the year, complete the table.

Sport Basketball Volleyball Football
Number of Students
  • A18, 18, 72
  • B36, 36, 36
  • C13, 13, 27
  • D27, 27, 54

Q3:

The pie chart shows the favorite subjects of students in a class. Using the information given on the pie chart, determine the percentage of students who chose English.

  • A 2 6 %
  • B 3 5 %
  • C 1 8 %
  • D 2 0 %
  • E 1 0 0 %

Q4:

Using the figure below that shows the percentages of sales of different types of books, arrange the books types in ascending order according to their percentages.

  • AEnglish, social studies, French, science, history
  • BEnglish, French, social studies, history, science
  • Csocial studies, English, French, history, science
  • DEnglish, social studies, French, history, science
  • EEnglish, social studies, science, history, French

Q5:

A farm has an area of 532 acres. The pie chart represents the areas of the farm planted with fruit, vegetables, flowers, and palm trees. Given that there are 266 acres planted with vegetables, which color on the pie chart represents vegetables?

  • Ared
  • Bgreen
  • Cyellow
  • Dblue

Q6:

James surveyed the people in his school to find their favorite sport. He displayed the data in a pie chart.

The same number of people prefer gymnastics as cross-country. What is the angle of the sector representing gymnastics?

The number of people who prefer baseball is 38. How many people prefer hockey?

How many people were surveyed in total?

Q7:

The pie chart represents the results of a survey of how students travel to school. What fraction of students traveled to school by subway?

  • A 1 4
  • B 1 8
  • C 3 4
  • D 1 2

Q8:

The shown graph represents Olivia’s day. About how many hours does she spend doing extracurricular activities each day?

  • A 12 h
  • B 8 h
  • C 6 h
  • D 5 h
  • E 9 h

Q9:

A jeweler makes a pair of earrings by cutting two 6 2 sectors from a silver circular disk. Determine, to the nearest milligram, how many milligrams the silver wedge for each earring weighs if the weight of the silver disk is 2.8 g.

Q10:

The pie chart represents how a farm, which has an area of 976 feddans, is planted with four different fruits. How big, in feddans, is the area represented by yellow?

Q11:

The given figure shows the grades of students in an exam. What is the central angle of the section that represents students who got a grade of excellent?

Q12:

Hannah investigated the favorite snacks of the students in her grade and is going to display the data in a pie chart.

Snack Chips Fruit Chocolate Yogurt Nuts
Frequency 31 22 48 7 12

How many students did she survey?

To put the data in a pie chart, she needs to calculate the measure of the angle of the sector that would represent one person.

Calculate the measure of this angle.

Find the measure of the angle of the sector representing the students who prefer chocolate.

Find the measure of the angle of the smallest sector.

Q13:

A farm has an area of 240 feddans. The pie chart represents the areas of the farm planted with fruit, vegetables, flowers, and palm trees. Given that the area planted with flowers is the same size as the area planted with fruit, determine how many feddans are planted with fruit.

Q14:

The pie chart shows the results of a survey of what fruits students prefer. Given that 100 students completed the survey, how many students prefer oranges or peaches?