48 people at a cafe were asked whether they prefer tea or coffee. The pie chart shows the results.
(a)What fraction of the pie chart represents people who prefer Tea?(1)
(b)48 people were asked in total. Work out how many people prefer Tea.(2)
(Total for Question 1 is 3 marks)
2
36 pupils were asked how they travel to school. The pie chart shows the results.
(a)Write down the method of travel used by the fewest pupils.(1)
(b)Work out the number of pupils who travel by Bike.(2)
(Total for Question 2 is 3 marks)
3
50 customers of a gym were recorded as either Men or Women. The pie chart shows the results.
(a)What fraction of the pie chart represents Women?(1)
(b)Work out the number of women in the survey of 50 customers.(2)
(Total for Question 3 is 3 marks)
4
A pie chart is divided into 4 equal sectors, each showing a different colour of car sold by a garage. What fraction of the pie chart does each sector represent?
A) 1/2
B) 1/3
C) 1/4
D) 1/8
(Total for Question 4 is 1 mark)
5
30 pupils were asked to choose their favourite colour of school jumper. The table shows some of the results.
(a)Work out the angle that should be used to represent Blue on the pie chart.(2)
(b)Work out the angle that should be used to represent Green on the pie chart.(2)
(c)Use your answers to parts (a) and (b), or otherwise, work out the angle that should be used to represent Red on the pie chart.(2)
(Total for Question 5 is 6 marks)
6
45 people were asked how they usually travel to work. The pie chart shows the results.
(a)Work out the number of people who travel to work by Car.(2)
(b)Work out the number of people who Cycle to work.(2)
(c)Work out the percentage of people who travel to work by Bus.(2)
(Total for Question 6 is 6 marks)
7
40 people were surveyed about their favourite fruit. The table shows the results, but one value is missing.
(a)Work out the number of people who chose Orange as their favourite fruit.(2)
(b)Work out the angle that should be used to represent Orange on a pie chart.(2)
(c)Show that the angles for Apple, Banana and Orange add up to 360 degrees.(1)
(Total for Question 7 is 5 marks)
8
A class of 30 pupils were asked what type of pet they own. The table shows the results.
(a)Calculate the angle needed to represent each type of pet 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
The pie chart shows the results of a survey of 200 voters, given as percentages.
(a)Work out the number of Labour votes.(2)
(b)Work out the number of Other votes.(2)
(Total for Question 9 is 4 marks)
10
50 people were asked how they travel on holiday. The table shows some of the results.
(a)Work out the number of people who travel by Train.(2)
(b)Work out the angle that should be used to represent Train on a pie chart.(2)
(c)Work out the angle that should be used to represent Ferry on a pie chart.(2)
(Total for Question 10 is 6 marks)
11
In a pie chart showing pupils' favourite sport, the sector for Cricket has an angle of 45 degrees. The total number of pupils surveyed is 96. Work out the number of pupils who chose Cricket.
(Total for Question 11 is 2 marks)
12
In a pie chart, the sector for Netball represents 18 people and has an angle of 60 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 45%.
(Total for Question 13 is 2 marks)
14
A pie chart shows the favourite pizza topping of 72 people. The sector for Pepperoni has an angle of 150 degrees. Work out the number of people who chose Pepperoni.
(Total for Question 14 is 2 marks)
15
Two pie charts show the favourite subject of pupils in two different classes. In Class A, which has 24 pupils, the sector for Maths has an angle of 90 degrees. In Class B, which has 40 pupils, the sector for Maths also has an angle of 90 degrees.
(a)Work out the number of pupils in Class A who chose Maths.(2)
(b)Work out the number of pupils in Class B who chose Maths.(2)
(c)Chidi says, 'The angles are the same in both pie charts, so the same number of pupils in each class chose Maths.' Is Chidi correct? Give a reason for your answer.(1)
(Total for Question 15 is 5 marks)
16
180 people answered a survey question with Yes, No or Unsure. In a pie chart representing the results, the angles for Yes, No and Unsure are in the ratio 5:3:1.
(a)Work out the angle that represents each answer.(2)
(b)Work out the number of people who answered Unsure.(2)
(Total for Question 16 is 4 marks)
17
In a pie chart showing customer ratings for a restaurant, the sector for 'Excellent' represents 20% of the people questioned and corresponds to 30 people.
(a)Work out the total number of people questioned.(2)
(b)The sector for 'Good' has an angle of 108 degrees. Work out the number of people who rated the service as 'Good'.(2)
(Total for Question 17 is 4 marks)
Mark scheme · 2.17 Pie Charts
Question 1
(a) B1 1/2 oe (0.5, 50%)
(a) Answer: 1/2
(b) M1 48 / 2 oe
(b) A1 24 cao
(b) Answer: 24
Question 2
(a) B1 Bike cao
(a) Answer: Bike
(b) M1 60/360 x 36 oe
(b) A1 6 cao
(b) Answer: 6
Question 3
(a) B1 1/2 oe (0.5, 50%)
(a) Answer: 1/2
(b) M1 50 / 2 oe
(b) A1 25 cao
(b) Answer: 25
Question 4
B1 C (1/4) cao
Answer: C) 1/4
Question 5
(a) M1 15/30 x 360 oe
(a) A1 180 (degrees) cao
(a) Answer: 180 degrees
(b) M1 6/30 x 360 oe
(b) A1 72 (degrees) cao
(b) Answer: 72 degrees
(c) M1 360 - 180 - 72 oe, or 9/30 x 360 oe
(c) A1 108 (degrees) cao
(c) Answer: 108 degrees
Question 6
(a) M1 160/360 x 45 oe
(a) A1 20 cao
(a) Answer: 20
(b) M1 40/360 x 45 oe
(b) A1 5 cao
(b) Answer: 5
(c) M1 72/360 x 100 oe
(c) A1 20% cao
(c) Answer: 20%
Question 7
(a) M1 40 - 14 - 10 oe
(a) A1 16 cao
(a) Answer: 16
(b) M1 16/40 x 360 oe (ft their answer to (a))
(b) A1 144 (degrees) cao
(b) Answer: 144 degrees
(c) B1 cso: Apple 126 + Banana 90 + Orange 144 = 360, all three angles correctly found and summed
(c) Answer: 126 + 90 + 144 = 360 degrees
Question 8
(a) M1 at least one correct method shown, e.g. 12/30 x 360
(a) A1 all four angles correct: Dog 144, Cat 108, Rabbit 36, None 72
(b) B1 ft all four sectors drawn with angles matching candidate's answer to (a), within ± 2 degrees
(b) B1 all four sectors correctly labelled with pet type
(b) Answer: Pie chart with sectors of 144, 108, 36 and 72 degrees, labelled Dog, Cat, Rabbit and None.
Question 9
(a) M1 0.4 x 200 oe
(a) A1 80 cao
(a) Answer: 80
(b) M1 0.1 x 200 oe
(b) A1 20 cao
(b) Answer: 20
Question 10
(a) M1 50 - 20 - 15 - 5 oe
(a) A1 10 cao
(a) Answer: 10
(b) M1 10/50 x 360 oe (ft their answer to (a))
(b) A1 72 (degrees) cao
(b) Answer: 72 degrees
(c) M1 5/50 x 360 oe
(c) A1 36 (degrees) cao
(c) Answer: 36 degrees
Question 11
M1 45/360 x 96 oe
A1 12 cao
Answer: 12
Question 12
M1 18/60 oe (people per degree), or 360/60 oe
M1 their people-per-degree x 360, or 18 x their (360/60)
A1 108 cao
Answer: 108
Question 13
M1 0.45 x 360 oe
A1 162 (degrees) cao
Answer: 162 degrees
Question 14
M1 150/360 x 72 oe
A1 30 cao
Answer: 30
Question 15
(a) M1 90/360 x 24 oe
(a) A1 6 cao
(a) Answer: 6
(b) M1 90/360 x 40 oe
(b) A1 10 cao
(b) Answer: 10
(c) B1 No, with a correct reason referencing the different total number of pupils in each class (ft their answers to (a) and (b), e.g. 6 pupils in Class A but 10 pupils in Class B), oe
(c) Answer: No. Class A has 24 pupils and Class B has 40 pupils, so even though the angle is the same, it represents a different number of pupils in each class: 6 in Class A but 10 in Class B.