GCSE · Data representation

Bar charts & pie chartsExam-style questions

Why a bar chart carries the frequency in its height while a pie chart carries only the share in its angle — so two identical-looking pies can stand for wildly different numbers — and how to convert between frequency and angle both ways.

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11 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
The bar chart shows the number of school lunches sold on four days.How many more lunches were sold on Tuesday than on Wednesday?
Level 1 · 1 markTry it
2
$60$ students were asked their favourite colour. $15$ said blue. In a pie chart of the results, work out the angle for blue.
Level 1 · 2 marksTry it
3
$72$ students were each asked to name their favourite sport.

The results are to be shown in a pie chart.
(a) $15$ students chose football. Work out the angle of the sector for football. (2 marks)
(b) The angle of the sector for tennis is $55°$ . Work out how many students chose tennis. (2 marks)
Level 2 · 4 marksTry it
4
$30$ students were asked to name their favourite fruit. The table shows the results.
Fruit Apple Banana Orange Pear
Frequency 9 12 5 4
A pie chart is to be drawn to show this information.

(a) Work out the size of the angle of the sector for Banana.

(b) Work out the size of the angle of the sector for Orange.
Level 2 · 3 marksTry it
5
The bar chart shows the number of lunches sold in a school canteen on each of four days.

(a) Write down the number of lunches sold on Wednesday.

(b) Work out the total number of lunches sold over the four days.

(c) The bars on this chart are drawn with gaps between them. Explain why.
Level 3 · 4 marksTry it

Fruit	Apple	Banana	Orange	Pear
Frequency	9	12	5	4

6 more questions on bar charts & pie charts

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