CIE IGCSE Maths: Extended

Topic Questions

Syllabus Edition

First teaching 2021

Last exams 2024

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4.5 Statistical Diagrams

1
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2 marks

The number of cars parked in a car park at 9 am is recorded for 10 days.

124    130    129    116    132    120    127    107    118    114

Complete the stem-and-leaf diagram.

cie-igcse-q5-stem-and-leaf-image

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2
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2 marks

The table shows how children in Ivan’s class travel to school.

Travel to school Number of children
Walk 12
Car 7
Bicycle 9
Bus 4

Ivan wants to draw a pie chart to show this information.

Find the sector angle for children who walk to school.

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3
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2 marks

40 people were asked how many times they visited the cinema in one month.
The table shows the results.

Number of cinema visits 0 1 2 3 4 5 6 7
Frequency 5 6 6 6 7 3 6 2

Omar wants to show the information from the table in a pie chart.

Calculate the sector angle for the people who visited the cinema 5 times.

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4
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3 marks

Sixteen babies are born in a hospital.
Here are the weights of the babies in kilograms.

2.4    2.7   3.5   4.4   4.5   4.1   4.4   2.8

4.1   3.8   3.8   4.2   3.3   3.0   3.7   3.3

Show this information in an ordered stem and leaf diagram.

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5
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3 marks

You must write down all stages in your working.

Here are the ages, in years, of 15 students.

19      18         20      25      37

33      21       17      29      20

42      18        23      37      22

Show this information in an ordered stem and leaf diagram.

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1
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3 marks

The table gives some information about the birds Paula sees in her garden one day.

Bird Frequency
Magpie 15
Thrush 10
Startling 20
Sparrow 27


Complete the accurate pie chart.

q10-medium-6-2-statistical-diagrams-edexcel-gcse-maths

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2
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3 marks

Here are the heights in centimetres of 20 men.

165 164 176 179 188 178 183 172 180 190
167 159 156 176 173 168 169 182 167 192

Show this information in an ordered stem and leaf diagram.

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3a
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3 marks

Chloe recorded the test marks of 20 students.

22 29 38 16 36 18 30 21 27 43
14 41 25 38 46 19 48 34 23 46

Show this information in an ordered stem and leaf diagram.

3b
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2 marks

One of these students is going to be chosen at random.

Find the probability that this student has a test mark less than 28

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4
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3 marks

The pie chart shows information about voters in an election.

q10-paper2h-june2017-aqa-gcse-maths

3360 more women voted than men.

Work out the total number of voters.

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5
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3 marks

The pie charts give information about the ages, in years, of people living in two towns, Adley and Bridford.

q1-1-hard-6-2-statistical-diagrams-edexcel-gcse-maths

q1-2-hard-6-2-statistical-diagrams-edexcel-gcse-maths

The ratio of the number of people living in Adley to the number of people living in Bridford is given by the ratio of the areas of the pie charts.

What proportion of the total number of people living in these two towns live in Adley and are aged 0 -19?
Give your answer correct to 3 significant figures.

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1a
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2 marks

The number of people swimming in a pool is recorded each day for 12 days.

table row 24 cell space 28 end cell cell space 13 end cell cell space 38 end cell cell space 15 end cell cell space 26 end cell row 45 cell space 21 end cell cell space 48 end cell cell space 36 end cell cell space 18 end cell cell space 38 end cell end table

Complete the stem-and-leaf diagram.



cie-igcse-2020-march-p2-tz2-q2a

1b
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1 mark

Find the median number of swimmers.

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2
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4 marks

120 students choose what they want to do when they leave school.
Their choices are shown in the table.

Choice Number of students
University 57
Training 45
Work 18


Complete the pie chart to show this information.
Label each sector clearly.

cie-igcse-2018-oct-nov-p2-tz2-q18 

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3
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3 marks

Here are the times, in minutes, that 20 children took to walk to school.

13    21    19    27    31       5   23    29    18    25

34    15    28    23    22    40    16    19    32      9

Draw an ordered stem and leaf diagram for these times.

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4
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3 marks

Here are the heights, in cm, of 18 children.

98      90      84       102      115      91

88      91      108     110     97      93

90      89      103      95      92      106

Show this information in an ordered stem and leaf diagram.

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5
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3 marks

Here are the heights, in mm, of 20 plants.

53    44    48    56    48    64    51    33    41    44

31    52    55    63    60    56    47    61    37    56

Draw an ordered stem and leaf diagram for these heights.

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6
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3 marks

Here are the speeds, in miles per hour, of 16 cars.

31   52   43   49   36   35   33   29

54   43   44          46    42    39   55   48

Draw an ordered stem and leaf diagram for these speeds.

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7
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3 marks

Here are the lengths, in cm, of 15 tables.

28      51      42      23      63

38      44      29      32      37

61      35      39      41      25

Draw an ordered stem and leaf diagram for these lengths.

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