Pie Charts: Fluency and Exam Drill (GCSE Statistics) - Worksheets, Questions and Revision

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GCSE · Statistics

S21D Pie Charts: Fluency and Exam Drill

EDEXCEL 1ST0 · Calculator allowed · about 50 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Write down how many degrees a full circle contains.

(Total for Question 1 is 1 mark)

Write down whether this statement is True or False: 'In a pie chart, each sector's angle must be proportional to its frequency.'

(Total for Question 2 is 1 mark)

A pie chart is split into two sectors, 'Yes' and 'No'. The 'Yes' sector has an angle of 210 degrees. Write down the angle of the 'No' sector.

(Total for Question 3 is 1 mark)

A pie chart shows the results of a survey of 80 people. One sector has an angle of 90 degrees. Write down this sector as a fraction of the full circle, in its simplest form.

(Total for Question 4 is 1 mark)

24 people were asked to name their favourite season. The table shows the results.

Season	Summer	Winter	Spring	Autumn
Frequency	10	6	5	3

Work out the angle that should be used to represent Summer on a pie chart.

(Total for Question 5 is 2 marks)

Using the table from Question 5, work out the angle that should be used to represent Winter.

(Total for Question 6 is 2 marks)

A pie chart for 45 pupils gives a sector of 80 degrees for 'Cycle to school'. Work out how many pupils cycle to school.

(Total for Question 7 is 2 marks)

36 people were asked to choose their favourite museum exhibit. The pie chart gives 'Dinosaurs' a sector of 150 degrees. Work out the number of people who chose Dinosaurs.

(Total for Question 8 is 2 marks)

A pie chart has 4 sectors with angles 80, 100, 120 and x degrees. Work out the value of x.

(Total for Question 9 is 2 marks)

125 shoppers were surveyed about their payment method. The pie chart shows that 40% of shoppers chose Cash. Work out the angle representing Cash.

(Total for Question 10 is 2 marks)

A pie chart for 60 students shows that Art has a sector representing 30% of the students. Work out the number of students who study Art.

(Total for Question 11 is 2 marks)

State one advantage of using a pie chart to compare the sizes of categories as proportions of a whole.

(Total for Question 12 is 1 mark)

State one disadvantage of a pie chart, compared with a bar chart, in terms of reading exact values.

(Total for Question 13 is 1 mark)

A pie chart's four sector angles are 72, 108, x and x degrees, where the last two sectors are equal to each other. Work out the value of x.

(Total for Question 14 is 2 marks)

150 people were surveyed about their favourite type of holiday. The pie chart shows sectors for Beach (96 degrees), City break (108 degrees), and Countryside (the remaining angle). Work out the number of people who chose Countryside.

(Total for Question 15 is 3 marks)

Two pie charts compare favourite drinks for Year 9 (72 students) and Year 10 (90 students). Year 9's 'Juice' sector is 60 degrees, and Year 10's 'Juice' sector is 80 degrees. Work out which year group has more students who chose Juice, and by how many.

(Total for Question 16 is 3 marks)

A pie chart for a pet-ownership survey uses these angles: Dog 150 degrees, Cat 90 degrees, Fish 75 degrees, Other 45 degrees. Given that 18 people chose 'Other', work out the total number of people surveyed, then work out how many chose Dog.

(Total for Question 17 is 3 marks)

A pie chart for 200 gym members shows age groups: Under 20 (54 degrees), 20-39 (x degrees), 40-59 (108 degrees), 60+ (90 degrees). Work out the value of x, then work out how many members are aged 20-39.

(Total for Question 18 is 3 marks)

A survey of 500 commuters gives Train a sector of 126 degrees on its pie chart. A rival survey of 350 commuters gives Train a sector of 144 degrees on its own pie chart. Work out which survey recorded more commuters using the Train, and by how many.

(Total for Question 19 is 3 marks)

A student says: "In a pie chart with 3 sectors of 200, 100 and 60 degrees, since 200 is roughly double 100, twice as many people must be in the 200 degree sector as in the 100 degree sector." Evaluate this statement, and check whether the three angles could actually represent a valid pie chart.

(Total for Question 20 is 3 marks)

Mark scheme · S21D Pie Charts: Fluency and Exam Drill

Question 1

B1 360 (degrees) cao
Answer: 360 degrees

Question 2

B1 True cao
Answer: True

Question 3

B1 150 (degrees) cao
Answer: 150 degrees

Question 4

B1 1/4 oe cao
Answer: 1/4

Question 5

M1 10/24 x 360, oe
A1 150 (degrees) cao
Answer: 150 degrees

Question 6

M1 6/24 x 360, oe
A1 90 (degrees) cao
Answer: 90 degrees

Question 7

M1 80/360 x 45, oe
A1 10 cao
Answer: 10

Question 8

M1 150/360 x 36, oe
A1 15 cao
Answer: 15

Question 9

M1 360 - 80 - 100 - 120, oe
A1 60 cao
Answer: 60

Question 10

M1 0.4 x 360, oe
A1 144 (degrees) cao
Answer: 144 degrees

Question 11

M1 0.3 x 60, oe
A1 18 cao
Answer: 18

Question 12

B1 it shows each category's share of the total at a glance, making proportions easy to compare visually, oe
Answer: It shows each category's share of the total at a glance, making proportions easy to compare visually.

Question 13

B1 it is harder to read off exact frequencies from a pie chart, since there is no frequency scale, oe
Answer: It is harder to read exact frequencies from a pie chart, since there is no frequency scale like a bar chart's axis.

Question 14

M1 360 - 72 - 108 (= 180), oe
A1 90 cao
Answer: 90

Question 15

M1 360 - 96 - 108 (= 156), oe
M1 156/360 x 150, oe
A1 65 cao
Answer: 65

Question 16

M1 Year 9 Juice: 60/360 x 72 (= 12)
M1 Year 10 Juice: 80/360 x 90 (= 20)
A1 Year 10 has 8 more (20 compared with 12), cao
Answer: Year 10 has 8 more students who chose Juice (20 compared with 12).

Question 17

M1 18 / (45/360), oe
M1 144 found (total surveyed)
A1 150/360 x 144 = 60 cao
Answer: 144 people surveyed; 60 chose Dog.

Question 18

M1 360 - 54 - 108 - 90 (= 108), oe
M1 108/360 x 200, oe
A1 60 cao
Answer: x = 108 degrees; 60 members are aged 20-39.

Question 19

M1 126/360 x 500 (= 175)
M1 144/360 x 350 (= 140)
A1 the first survey has 35 more (175 compared with 140), cao
Answer: The first survey (500 commuters) recorded 35 more Train users (175 compared with 140).

Question 20

M1 200 + 100 + 60 = 360, confirming this is a valid pie chart
B1 recognises that 200 is exactly (not just roughly) double 100
A1 since angle is directly proportional to frequency, the first sector has exactly twice the frequency of the second, oe
Answer: The angles sum to 360 (200+100+60=360), so this is a valid pie chart. Since angle is directly proportional to frequency, 200 degrees being exactly double 100 degrees means the first sector has exactly twice the frequency of the second, not just roughly.

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Pie Charts: Fluency and Exam Drill (GCSE Statistics) - Worksheets, Questions and Revision

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