year 8 maths

9D
Sector graphs and divided bar graphs
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2 Thirty students are surveyed to find out their favourite sport and their results are graphed below.
rugby (12) soccer (6)
basketball
(4)
AFL (8)
a What is the most popular sport for this group of students?
b What is the least popular sport for this group of students?
c What fraction of the students has chosen soccer as their favourite sport?
d What fraction of the students has chosen either rugby or AFL?
Example 7a
3 A group of passengers arriving at an airport is surveyed to establish which countries they have
come from. The results are presented below.
Country China United Kingdom USA France
No. of passengers 6 5 7 2
a What is the total number of passengers who participated in the survey?
b What proportion of the passengers surveyed have come from the following countries? Express
your answer as a fraction.
i China ii United Kingdom iii USA iv France
c On a sector graph, determine the angle size of the sector representing:
i China ii United Kingdom iii USA iv France
d Draw a sector graph showing the information calculated in part c.
Example 7b
4 A group of students in Years 7 and 8 is polled on their Colour Year 7 votes Year 8 votes
favourite colour, and the results are shown at right.
red 20 10
a Draw a sector graph to represent the Year 7 colour
green 10 4
preferences.
yellow 5 12
b Draw a different sector graph to represent the Year 8
blue 10 6
colour preferences.
pink 15 8
c Describe two differences between the charts.
d Construct a divided bar graph that shows the popularity of each colour across the total number
of Years 7 and 8 students combined.
5 Consider the following results of a study on supermarket shopping habits.
Items food drinks household items other
Proportion of money spent 50% 25% 20% 5%
a Represent this information in a divided bar graph.
b Graph this information as a sector graph.
c Use a digital technology (e.g. a spreadsheet) to create each type of graph and describe how
your answers to parts a and b differ from the technology’s output.
Cambridge Maths NSW
Stage 4 Year 8 Second edition
ISBN 978-1-108-46627-1 © Palmer et al. 2018
Cambridge University Press
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