year 8 maths

Chapter review
589
Short-answer questions
1 The sector graph shows the mode of transport
office workers use to get to work every day.
10%
a Which mode of transport is the most
popular?
20%
ferry
25%
b Which mode of transport is the least
car
popular?
government bus
c What angle of the 360° sector graph is
40%
private bus
represented by ‘private buses’?
d If 20000 workers were surveyed, how many
train
people travelled to work each day by train?
e The year after this survey was taken, it was found that the number of people using government
buses had decreased. Give a reason why this could have occurred.
2 Some students were asked how many hours of study they did before their half-yearly Maths exam.
Their responses are represented in the table below.
0 hours 1 hour 2 hours 3 hours 4 hours
|| |||| | ||| ||| |||| |||
a How many students are in the class?
b Convert the tally above into a frequency distribution table.
c Draw a histogram to represent the results of the survey.
d What proportion of the class did no study for the exam?
e Calculate the mean number of hours the students in the class spent studying for the exam, giving
the answer correct to one decimal place.
3 a Rewrite the following data in ascending order.
56 52 61 63 43 44 44 72 70 38 55
60 62 59 68 69 74 84 66 53 71 64
b What is the mode?
c What is the median for these scores?
d Calculate the range.
4 The ages of girls in an after-school athletics squad are shown in the table below.
a State the total number of girls in the squad.
b Display their ages in a histogram and draw a frequency polygon on top of it.
c Calculate the mean age of the squad, correct to two decimal places.
d What is the median age of the girls in the squad?
Age (years) Frequency
10 3
11 8
12 12
13 4
14 3
5%
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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