A local choir sang three types of song at a concert. 1/6 of the songs were folk songs. Work out the angle that should be used for the folk songs sector in a pie chart. Give your answer in degrees.
(Total for Question 1 is 1 mark)
2
In a pie chart showing favourite pizza toppings at a school fundraising fair, 40% of pupils chose Pepperoni. Work out the angle of the Pepperoni sector. Give your answer in degrees.
(Total for Question 2 is 1 mark)
3
A pie chart shows how a group of allotment gardeners share out their growing space. The Vegetables sector has an angle of 126 degrees. Work out the percentage of the growing space this represents. Show your working.
(Total for Question 3 is 2 marks)
4
A pie chart shows the packed-lunch choices of a class. The Sandwiches sector has an angle of 90 degrees and represents 8 pupils. Work out the total number of pupils in the class.
(Total for Question 4 is 2 marks)
5
A survey of 96 customers at a cafe recorded their drink orders in a pie chart. 25% of customers ordered Tea. The Coffee sector has an angle of 150 degrees. Work out how many more customers ordered Coffee than Tea.
(Total for Question 5 is 3 marks)
6
A pie chart shows results from a survey of 150 diners at a restaurant about their starter choices. 25 diners chose Soup. Show that the angle for the Soup sector is 60 degrees. Give the full method.
(Total for Question 6 is 3 marks)
7
At a school sports day, the ratio of pupils choosing Football to Rounders to Athletics was 4:3:2. Work out the angle that should be used for the Rounders sector in a pie chart.
(Total for Question 7 is 3 marks)
8
A pie chart shows the favourite book genres of members at a library. The Fiction sector has an angle of 84 degrees, and this represents 42 members. Work out the total number of library members surveyed.
(Total for Question 8 is 4 marks)
9
A student was asked to find the angle for a sector representing 18 people out of a survey of 60 people. Their working was: 18/60 = 0.3 0.3 x 100 = 30 degrees The student's answer of 30 degrees is wrong. Identify the error in the student's method and work out the correct angle.
(Total for Question 9 is 3 marks)
10
Stretch question. Kwame recorded how he spent a complete 24-hour day in a pie chart. The Sleep sector has an angle of 120 degrees. The Study sector has an angle of 45 degrees. The Exercise sector represents exactly 2 hours. The remaining time is Leisure. Work out the angle of the Leisure sector, then work out how many hours Kwame spent on Leisure. Show your working.
(Total for Question 10 is 6 marks)
Mark scheme · 2.17DB Pie Charts: Fluency and Exam Drill (Part 2)
Question 1
B1 60 degrees cao
Answer: 60 degrees (1/6 of 360 = 60 degrees).
Question 2
B1 144 degrees cao
Answer: 144 degrees (40% of 360 = 0.4 x 360 = 144 degrees).
Question 3
M1 126/360 as a fraction or decimal (0.35) oe
A1 35% cao
Answer: 35% (126/360 = 0.35 = 35%).
Question 4
M1 90/360 = 1/4 oe, or equivalent method e.g. 8 divided by (90/360)
A1 32 cao
Answer: 32 pupils (90/360 = 1/4 of the class represents 8 pupils, so the total is 8 x 4 = 32).
Question 5
M1 find Tea count: 25% of 96 = 24 oe
M1 find Coffee count: 150/360 x 96 = 40 oe
A1 16 cao
Answer: 16 more customers ordered Coffee than Tea (Coffee: 150/360 x 96 = 40; Tea: 25% of 96 = 24; difference = 40 - 24 = 16).
Question 6
M1 use method: 25/150 x 360 or equivalent
M1 calculate 25/150 x 360 = 60 oe
A1 60 cso
Answer: 60 degrees (25/150 x 360 = 1/6 x 360 = 60).
Question 7
M1 find total parts: 4 + 3 + 2 = 9 oe
M1 find fraction for Rounders: 3/9 oe
A1 120 degrees cao
Answer: 120 degrees (3/9 of 360 = 1/3 x 360 = 120 degrees).
Question 8
M1 find proportion for Fiction: 84/360 oe
M1 set up total = 42 divided by (84/360), or equivalent, e.g. 42 x 360/84
A1 180 cao
C1 final statement in context: 180 library members were surveyed
Answer: 180 library members (84/360 of the total = 42, so total = 42 x 360/84 = 180).
Question 9
B1 identifies the error: the student multiplied by 100 (found a percentage) instead of multiplying by 360 oe
M1 correct method: 18/60 x 360 oe
A1 108 degrees cao
Answer: The student found the percentage (30%) instead of the angle. Correct angle: 108 degrees (18/60 x 360 = 108).