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Pie Charts (Part 2) - Worksheets, Questions and Revision

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2.17B Pie Charts (Part 2)

EDEXCEL 1MA1 · Calculator allowed · about 65 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
60 shoppers at a Saturday farmers market were asked whether they bought fruit or vegetables. In the pie chart of the results, three quarters of the circle represents Fruit and one quarter represents Vegetables.
(a)Write down the fraction of the pie chart that represents Vegetables.(1)
(b)Work out the number of shoppers who bought vegetables.(2)
(Total for Question 1 is 3 marks)
2
A charity shop sorted 90 donated books into three categories: Fiction, Non-fiction and Children's. In the pie chart of the results, the three categories take up equal thirds of the circle.
(a)Write down the fraction of the books that were Fiction.(1)
(b)Work out how many of the books were Children's books.(2)
(Total for Question 2 is 3 marks)
3
A pie chart is divided into 6 equal sectors, each showing a different flavour of ice cream sold at a summer fair. What is the angle of each sector?
  • A) 45 degrees
  • B) 60 degrees
  • C) 72 degrees
  • D) 90 degrees
(Total for Question 3 is 1 mark)
4
A pie chart shows the results of a survey of 35 members of a book club about their favourite genre. The 'Mystery' sector represents 20% of the members.
(a)Write down 20% as a fraction in its simplest form.(1)
(b)Work out the number of members whose favourite genre is Mystery.(2)
(Total for Question 4 is 3 marks)
5
150 shoppers at a supermarket were asked which type of milk they bought most often. The table shows the results: Whole 30, Semi-skimmed 90, Oat 30.
(a)Work out the angle that should be used to represent Semi-skimmed on a pie chart.(2)
(b)Work out the angle that should be used to represent Oat on a pie chart.(2)
(c)Use your answers to parts (a) and (b), or otherwise, work out the angle that should be used to represent Whole on a pie chart.(2)
(Total for Question 5 is 6 marks)
6
72 members of a leisure centre were asked which class they usually attend. In the pie chart of the results, Spin has an angle of 150 degrees, Yoga has an angle of 90 degrees, Pilates has an angle of 90 degrees and Zumba has an angle of 30 degrees.
(a)Work out the number of members who attend Spin.(2)
(b)Work out the number of members who attend Zumba.(2)
(c)Work out the percentage of members who attend Yoga.(2)
(Total for Question 6 is 6 marks)
7
45 people at a farmers market were asked their favourite jam. The table shows some of the results: Strawberry 18, Raspberry 12, Blackberry not recorded, Total 45.
(a)Work out the number of people who chose Blackberry.(2)
(b)Work out the angle that should be used to represent Blackberry on a pie chart.(2)
(c)Show that the angles for Strawberry, Raspberry and Blackberry add up to 360 degrees.(1)
(Total for Question 7 is 5 marks)
8
40 employees at a company were asked how many sick days they took last year. The table shows the results.
Figure (to be drawn): Frequency table - Sick days taken last year (40 employees). 0 sick days: 10. 1 sick day: 16. 2 sick days: 8. 3 or more sick days: 6. Total: 40. Below the table, a blank circle of radius 4 cm is printed with one starting radius line marked from the centre to the top of the circle, ready for a pie chart to be drawn.
(a)Calculate the angle needed to represent each number of sick days on a pie chart.(2)
(b)Using a protractor, draw an accurate pie chart to show this information. Label each sector.(2)
(Total for Question 8 is 4 marks)
9
A pie chart shows the results of a survey of 250 people about their preferred type of holiday, given as percentages: Beach 44%, City break 28%, Countryside 18%, Other 10%.
(a)Work out the number of people who chose Beach.(2)
(b)Work out the number of people who chose Other.(2)
(Total for Question 9 is 4 marks)
10
80 visitors to a museum were asked which exhibit they visited first. The table shows some of the results: Dinosaurs 28, Space 20, Egyptians not recorded, Art 12, Total 80.
(a)Work out the number of visitors who visited the Egyptians exhibit first.(2)
(b)Work out the angle that should be used to represent Egyptians on a pie chart.(2)
(c)Work out the angle that should be used to represent Dinosaurs on a pie chart.(2)
(Total for Question 10 is 6 marks)
11
In a pie chart showing pupils' favourite school subject, the sector for Art has an angle of 50 degrees. The total number of pupils surveyed is 108. Work out the number of pupils who chose Art.
(Total for Question 11 is 2 marks)
12
In a pie chart, the sector for Badminton represents 21 people and has an angle of 84 degrees. Work out the total number of people surveyed.
(Total for Question 12 is 3 marks)
13
A pie chart is to be drawn using percentages. Work out the angle that should be used to represent a sector of 65%.
(Total for Question 13 is 2 marks)
14
A pie chart shows the favourite ice cream flavour of 96 people. The sector for Vanilla has an angle of 135 degrees. Work out the number of people who chose Vanilla.
(Total for Question 14 is 2 marks)
15
Two pie charts show the proportion of energy drinks sold by two shops in one day. Shop A sold 60 drinks in total; the Sports flavour sector takes up 25% of Shop A's pie chart. Shop B sold 100 drinks in total; the Sports flavour sector also takes up 25% of Shop B's pie chart.
(a)Work out the number of Sports flavour drinks sold by Shop A.(2)
(b)Work out the number of Sports flavour drinks sold by Shop B.(2)
(c)Priya says, 'The percentages are the same in both pie charts, so the same number of drinks were Sports flavour in each shop.' Is Priya correct? Give a reason for your answer.(1)
(Total for Question 15 is 5 marks)
16
108 people voted for their favourite biscuit: Digestive, Custard Cream or Bourbon. In a pie chart of the results, the angles for Digestive, Custard Cream and Bourbon are in the ratio 5:4:3.
(a)Work out the angle that represents each biscuit.(2)
(b)Work out the number of people who voted for Bourbon.(2)
(Total for Question 16 is 4 marks)
17
In a pie chart showing the colours of cars sold by a dealership, the sector for Silver represents 15% of the cars sold and corresponds to 21 cars.
(a)Work out the total number of cars sold.(2)
(b)The sector for Black has an angle of 126 degrees. Work out the number of cars that were Black.(2)
(Total for Question 17 is 4 marks)
Mark scheme · 2.17B Pie Charts (Part 2)

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

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Question 1

3 marks
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Question 2

3 marks
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Question 3

1 mark
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Question 4

3 marks
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Question 5

6 marks
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Question 6

6 marks
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Question 7

5 marks
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Question 8

4 marks
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Question 9

4 marks
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Question 10

6 marks
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Question 11

2 marks

Question 12

3 marks

Question 13

2 marks

Question 14

2 marks

Question 15

5 marks
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Question 16

4 marks
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Question 17

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