Practise Charts, diagrams and time series. 3 exam-style questions plus unlimited generated ones on this subtopic, at up to four difficulty levels, with full mark schemes and a progress tracker. Free, no account needed.
Written for this site in the style of Edexcel exam questions. They are not taken from real past papers.
Question 1Easy4 marks
The pie chart shows how 150 people rated a new film: A (excellent), B (good), C (average) or D (poor). Diagram NOT accurately drawn
[object Object]
(a) 30 people gave the film rating A. Work out the angle of the sector for rating A.[2]
(b) The angle of the sector for rating B is \(108^\circ\). Work out the number of people who gave the film rating B.[2]
Show the answer and mark scheme
(a)Answer: \(72^\circ\) °
M1 for \(\frac{30}{150} \times 360\)
A1 for 72 cao
Worked solution: \(\frac{30}{150} \times 360 = 72^\circ\).
(b)Answer: \(45\)
M1 for \(\frac{108}{360} \times 150\)
A1 for 45 cao
Worked solution: \(\frac{108}{360} \times 150 = 45\) people.
Question 2Medium5 marks
A school asked every student in Year 10 (200 students) and Year 11 (150 students) to name their favourite subject. In the pie chart for Year 10, the Science sector has an angle of \(72^\circ\). In the pie chart for Year 11, the Science sector has an angle of \(96^\circ\).
Aisha says, “Science is more popular in Year 11 than in Year 10, because its angle is bigger.” Work out the number of students who chose Science in each year group, and use your answers to comment on what Aisha says.[5]
Show the answer and mark scheme
Answer: Year 10: 40 students. Year 11: 40 students. The same number chose Science in each year, so Aisha is wrong.
M1 for \(\frac{72}{360} \times 200\)
A1 for 40 (Year 10)
M1 for \(\frac{96}{360} \times 150\)
A1 for 40 (Year 11)
C1 for a correct comment, e.g. the same number (40) chose Science in each year group; the angle is bigger for Year 11 only because Year 11 has fewer students
Worked solution: Year 10: \(\frac{72}{360} \times 200 = 40\) students. Year 11: \(\frac{96}{360} \times 150 = 40\) students. The numbers are equal. The Year 11 angle is bigger because 40 is a bigger fraction of 150 than of 200, so Aisha cannot compare the year groups by angle alone.
Question 3Hard4 marks
The pie chart shows how some students travel to school. The Car sector represents 7 students. The ratio of the number of students in the Cycle sector to the number in the Bus sector is \(2 : 3\). Diagram NOT accurately drawn
[object Object]
Work out the number of students in the Bus sector.[4]
Show the answer and mark scheme
Answer: \(24\)
P1 for the total number, \(\frac{360}{42} \times 7 = 60\), or the angle for one person, \(42 \div 7 = 6\)
P1 for the angle for Cycle and Bus together, \(360 - 42 - 78 = 240\), or the number of people, 40
P1 for sharing in the ratio \(2 : 3\), e.g. \(\frac{3}{5} \times 40\)
A1 for 24 cao
Worked solution: Each person is shown by \(42 \div 7 = 6^\circ\), so the total is \(360 \div 6 = 60\). Cycle and Bus together: \(360 - 42 - 78 = 240^\circ\), which is \(240 \div 6 = 40\) students. \(40 \div 5 = 8\), so Bus \(= 3 \times 8 = 24\).