14 120 students in Year 10 each choose one language to study.
The table below shows information about their choices.
Language
Number of students
French
45
Mandarin
20
Spanish
55
(a) Complete the accurate pie chart to show this information.(3)
In another pie chart the number of students in Year 11 studying French is represented by an angle of \(150^\circ\)
Navi says,
“This means that French was chosen by more students in Year 11 than by students in Year 10”
(b) Is Navi correct? Explain why you think this. (1)
Mark scheme (a)
Answer
Mark
Mark scheme
Complete pie chart
M1
for a full method to find at least one angle, eg \(\dfrac{360}{(45 + 20 + 55)} \times 20\ (= 60)\) oe or \(\dfrac{55}{(45 + 20 + 55)} \times 360\ (= 165)\) oe or \(\dfrac{135}{45} \times 20\ (= 60)\) or \(\dfrac{135}{45} \times 55\ (= 165)\)
A1
for both angles correctly calculated or for one correct and accurately drawn angle
A1
for a fully correct labelled pie chart
Additional guidance
Award this mark even if more than 3 sectors are drawn
Do not award for drawing if the intention is to show more than 3 sectors
Each sector must be labelled with the associated language, not just angle size.
Mark scheme (b)
Answer
Mark
Mark scheme
Explanation
C1
for explanation relating to population size,
Acceptable examples No as we do not know the number of students in year 11 It would be true if the number of students in each year was the same No as pie charts show proportions not numbers (No) as the populations may not be equal No there may be more/less students in Yr10/Yr 11 Could be different number of degrees per person (on Yr 11 pie chart) Yes but only if there are the same number of students We don’t know how many students are in year 10 compared to year 11
Not acceptable examples Yes as \(150^\circ\) is bigger than \(135^\circ\) We don’t know how many students are in year 10
