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
$60$ people were asked to name their favourite pizza topping. Everyone chose cheese, ham or mushroom.

A pie chart was drawn. The angles of the sectors for cheese, ham and mushroom are in the ratio $5 : 4 : 3$ .

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

(b) Work out the number of people who chose mushroom.

(c) A second survey asked $180$ people the same question. Its pie chart has exactly the same three angles as the first. Work out how many more people chose mushroom in the second survey than in the first.
Level 5 · 6 marksTry it
2
A pie chart shows the types of tree in Hallow Wood. Every tree is an oak, a birch or a pine.

The sector for oak has an angle of $84°$ , and there are $35$ oak trees.

(a) Work out the total number of trees in Hallow Wood.

(b) There are $45$ birch trees. Work out the size of the angle of the sector for pine.

(c) Marden Wood contains $240$ trees, and its pie chart has exactly the same three angles as the Hallow Wood chart. Ben says: "Marden Wood has twice as many oak trees as Hallow Wood." Is Ben right? You must show your working.
Level 5 · 7 marksTry it