Syllabus Edition

First teaching 2021

Last exams 2024

|

Statistical Diagrams (CIE IGCSE Maths: Core)

Exam Questions

3 hours34 questions
1
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3 marks

George, Louis and Beatriz have a café.

George records the number of each type of meal sold.
He draws a pictogram to show his results.
All rows are complete except for Salad.

qp1a-0580-32-paper-3-nov-2020-cie-igcse-maths

i)
Six salads were sold.
Complete the pictogram.
[1]
ii)
Write down which type of meal was sold most.
[1]
iii)
Find the number of meals sold altogether.
[1]

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2
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2 marks

The stem-and-leaf diagram shows the ages of the workers in a factory.

qp5b-0580-32-paper-3-nov-2020-cie-igcse-maths

i)
Write down the mode.
[1]
ii)
Work out the range.
[1]

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3a
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1 mark

This bar chart shows the amount of rainfall, in mm, for each month of one year in a city.

qp1-0580-13-paper-1-nov-2020-cie-igcse-maths-1

Write down the month with the least amount of rainfall.

3b
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1 mark

This bar chart shows the number of days it rained each month for the same year in this city.

qp1b-0580-13-paper-1-nov-2020-cie-igcse-maths

Mia says that the months with the most rainfall also have the greatest number of days it rained.

Explain why she is wrong.

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4a
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6 marks

20 students from College A each run 5km.
The times, correct to the nearest minute, are recorded.

32 51 25 40 47 21 37 32 48 36
46 39 30 29 44 39 53 35 40 31

i)
Complete the stem-and-leaf diagram.
qp7ai-0580-31-paper-3-may-2020-cie-igcse-maths
[2]
ii)
Find the range of the times.
.......................................... min [1]
iii)
Find the median of the times.
.......................................... min [1]
iv)
Complete the bar chart for the times of the students.
qp7aiv-0580-31-paper-3-may-2020-cie-igcse-maths
[2]
4b
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4 marks

20 students from College B each run 5km.
Their times, correct to the nearest minute, are recorded and the results are shown in the table.

Time (minutes) Number of students Pie chart sector angle
30 to 39 5 90°
40 to 49 8  
50 to 59 7  

i)
Complete the table.
[2]

qp7bi-0580-31-paper-3-may-2020-cie-igcse-maths

ii)
Complete the pie chart.
[2]
4c
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2 marks

Write down two comments comparing the times of students from College A with the times of students from College B.

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5
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2 marks

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

124 130 129 116 132 120 127 107 118 114

Complete the stem-and-leaf diagram.

qp3-0580-01-paper-1-specimen-2020-cie-igcse-maths

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6
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4 marks

José manages a football team.
He records the number of goals scored by the team for each of five months.
Some of the results are shown on the bar chart.

qp1a-0580-31-paper-3-oct-nov-2019-cie-igcse-maths

i)
In February, 10 goals were scored.

Complete the bar chart.
[1]

ii)
Write down the month in which most goals were scored.
[1]
iii)
Find the total number of goals scored.
[1]
iv)
Calculate the mean number of goals scored each month.
[1]

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7
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3 marks

Nadira owns a clothes shop.

The pictogram shows the number of skirts that were sold each day in one week.

qp1a-0580-32-paper-3-oct-nov-2019-cie-igcse-maths

i)
On which day were most skirts sold?
[1]

ii)
How many skirts were sold on Wednesday?
[1]
iii)
Work out how many more skirts were sold on Friday than on Thursday.
[1]

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8a
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2 marks

Davina records the colour of each car passing her house one morning.

red grey black red grey
white white black black white
grey red grey white grey
black grey black white grey

Complete the frequency table.
You may use the tally column to help you.

Colour of car Tally Frequency
Black    
Grey    
Red    
White    

8b
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1 mark

Write down the mode.

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9
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2 marks

50 students each choose their favourite colour from a list of six colours.
The results for the colours Red, Orange, Yellow, Green and Blue are shown in the tally chart.

Complete the tally chart.

Favourite colour Tally
Red up diagonal strike vertical line vertical line vertical line vertical line end strike space space up diagonal strike vertical line vertical line vertical line vertical line end strike space space vertical line
Orange up diagonal strike vertical line vertical line vertical line vertical line end strike space space up diagonal strike vertical line vertical line vertical line vertical line end strike space space vertical line vertical line vertical line vertical line
Yellow up diagonal strike vertical line vertical line vertical line vertical line end strike space space vertical line vertical line vertical line vertical line
Green up diagonal strike vertical line vertical line vertical line vertical line end strike space
Blue vertical line vertical line vertical line
Purple  

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10a
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9 marks

Kyung records the number of people in each of 24 cars on Wednesday.
His results are shown below.

1 space space space space space space space space space space space space space space 3 space space space space space space space space space space space space space space space 6 space space space space space space space space space space space space space space space 1 space space space space space space space space space space space space space space space 2 space space space space space space space space space space space space space space space 2 space space space space space space space space space space space space space space space 4 space space space space space space space space space space space space space space space 5 space
3 space space space space space space space space space space space space space space 4 space space space space space space space space space space space space space space space 1 space space space space space space space space space space space space space space space 5 space space space space space space space space space space space space space space space 3 space space space space space space space space space space space space space space space 2 space space space space space space space space space space space space space space space 4 space space space space space space space space space space space space space space space 1
1 space space space space space space space space space space space space space space 1 space space space space space space space space space space space space space space space 2 space space space space space space space space space space space space space space space 4 space space space space space space space space space space space space space space space 4 space space space space space space space space space space space space space space space 1 space space space space space space space space space space space space space space space 2 space space space space space space space space space space space space space space space 1

i)
Complete the frequency table.
You may use the tally column to help you.

Number in a car Tally Frequency
1    
2    
3    
4    
5    
6    

[2]

ii)
Write down the mode.

[1]

iii)
Work out the range.
[1]
iv)
Work out the median.

[1]

v)
Calculate the mean.
[3]
vi)
One of these cars is chosen at random.

Find the probability that the number of people in this car is 4.
[1]
10b
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2 marks

Kyung also records the number of people in each of 24 cars on Saturday.
The table shows the results.

Number in a car 1 2 3 4 5 6
Frequency 1 2 5 13 2 1

On the grid, complete the bar chart to show these results.

q8-058033-mayjune2019-cie-igcse-maths-core

10c
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1 mark

Write down one comparison between the frequency tables in part (a)(i) and part (b).

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11
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5 marks

Lena owns a café.

One day, Lena records the drinks she sells in one hour.

Tea Tea Coffee Juice Milkshake Milkshake Coffee Coffee
Milkshake     Coffee Tea Juice Tea Coffee Tea Juice
Milkshake     Tea Milkshake Tea Coffee Tea Milkshake Coffee

i)
Complete the frequency table.
You may use the tally column to help you.

Drink Tally Frequency
Coffee    
Juice    
Milkshake    
Tea    
  Total 24

[2]

ii)
Draw a bar chart to show this information.
Complete the scale on the frequency axis.

q1aii-058031-octnov2018-cie-igcse-maths-core

[3]

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12
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2 marks

The bar chart shows the number of different films shown at a cinema in each of four months.

q2a-058032-octnov2018-cie-igcse-maths-core

i)
In May, 6 films were shown and in June, 4 films were shown.

Complete the bar chart.

[1]

ii)
How many more films were shown in March than were shown in January?

[1]

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13
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7 marks

Billie asks 60 students in his school what their favourite type of book is.
He has started to draw a pictogram to show his results.

q1b-058031-mayjune2018-cie-igcse-maths-core

The science fiction row in the pictogram is complete.

i)
Complete the key.

[1]

ii)
Complete the pictogram.
[2]
iii)
Write down the mode.
[1]
iv)
Work out how many more students choose detective books than music books.
[1]
v)
Work out the fraction of students who did not choose romance books.
[2]

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1a
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2 marks

Fernando records the favourite sport of each of 20 people.

football cricket rugby cricket rugby rugby football football rugby football
cricket rugby tennis football tennis football rugby cricket football cricket

Complete the frequency table to show this information.
You may use the tally column to help you.

Favourite sport Tally Frequency
Cricket    
Football    
Rugby    
Tennis    

1b
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2 marks

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

Work out the sector angle for football.

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2
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4 marks

There are 480 cabins on a ship.
There are four types of cabin: Ocean-view, Balcony, Interior and Suite.
Hannah starts to draw a pie chart to show the numbers of each type of cabin.

qp1f-0580-33-paper-3-nov-2020-cie-igcse-maths

i)
Show that there are 120 Ocean-view cabins on the ship.
iia)
The table shows information about each type of cabin.
Type of cabin Number of cabins Sector angle in a pie chart
Ocean-view 120 90°
Balcony 192 144°
Interior 68  
Suite 100  

Complete the table.

[2]

iib)
Complete the pie chart.
[1]

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3
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1 mark

The 840 students in a school are asked if they want a change of school uniform.
The results are shown in the pie chart.

qp6-0580-12-paper-1-may-2020-cie-igcse-maths

Show that the number of students who said Yes is 266.

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4a
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2 marks

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

24 28 13 38 15 26
45 21 48 36 18 38

Complete the stem-and-leaf diagram.

qp11a-0580-12-paper-1-march-2020-cie-igcse-maths

4b
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1 mark

Find the median number of swimmers.

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5
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4 marks

The treasure is a bag of coins.
The coins are made from three different metals.

Metal Percentage Pie chart
sector angle
Copper 70%  
Zinc 20%  
Tin 10%  
i)
Complete the table.
[2]
ii)
Complete the pie chart.
qp7bii-0580-32-paper-3-march-2020-cie-igcse-maths
[2]

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6
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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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7
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8 marks

50 students each record the number of glasses of water they drink in one day.
The results for 10 of the students are shown below.

2 5 1 3 2 1 0 0 1 1

i)
The results for the remaining 40 students are recorded in the table.

Complete the table to show the results for all 50 students.
Number of glasses of water Tally Frequency
0 up diagonal strike vertical line vertical line vertical line vertical line end strike  vertical line  
1 vertical line vertical line  
2 up diagonal strike vertical line vertical line vertical line vertical line end strike space space vertical line vertical line vertical line  
3 up diagonal strike vertical line vertical line vertical line vertical line end strike space space up diagonal strike vertical line vertical line vertical line vertical line end strike space vertical line  
4 up diagonal strike vertical line vertical line vertical line vertical line end strike space vertical line vertical line vertical line  
5 up diagonal strike vertical line vertical line vertical line vertical line end strike  
  Total 50

[2]

ii)
Write down the range.
[1]
iii)
Find the median.
[2]
iv)
Find the percentage of the 50 students who drink 4 glasses of water.
[1]
v)
One of the 50 students is chosen at random.

Find the probability that this student drinks fewer than 2 glasses of water in one day.
Give your answer as a fraction in its lowest terms.
[2]

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8
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4 marks

The table shows information about the first 90 words in a book.

i)
Complete the table.
Length of word Frequency Pie chart angle
Very short 6 24°
Short 34  
Medium 41  
Long 9  

ii)
Complete the pie chart to show this information.
qp2cii-0580-33-paper-3-oct-nov-2019-cie-igcse-maths
[2]

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9
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6 marks

On Monday, Main Street station sells 40 tickets.
There are four types of ticket; infant, child, adult and senior.
The bar chart shows the number of infant, child and adult tickets sold.

q3a-058031-mayjune2019-cie-igcse-maths-core

i)
Complete the bar chart.
[3]
ii)
Find how many more adult tickets were sold than child tickets.
[1]
iii)
Write down the modal type of ticket.
[1]
iv)
One of these 40 people is chosen at random.

Find the probability that this person is a child.
[1]

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10a
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1 mark

Jason spends 480 minutes at school each day.
The pie chart shows the time he spends in three of his lessons.

q25-058013-mayjune2019-cie-igcse-maths-core

Measure the sector angle for science.

10b
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2 marks

Work out the time, in minutes, Jason spends in English.

...........................min

10c
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2 marks

Jason spends 100 minutes in geography and the rest of the day is free time.

Complete the pie chart.

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11
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4 marks

Mr Marr asks his mathematics class to complete a statistics project about books.

Olga counts the number of letters in each of the last 50 words in the book she is reading.
She has only counted the letters in 43 words so far.
Her results for these 43 words are shown in the table below.

Number of letters
in each word
Tally Frequency
1 vertical line vertical line vertical line  
2 up diagonal strike vertical line vertical line vertical line vertical line end strike  
3 up diagonal strike vertical line vertical line vertical line vertical line end strike up diagonal strike vertical line vertical line vertical line vertical line end strike vertical line vertical line  
4 up diagonal strike vertical line vertical line vertical line vertical line end strike vertical line vertical line vertical line  
5 up diagonal strike vertical line vertical line vertical line vertical line end strike space vertical line vertical line vertical line vertical line  
6 vertical line vertical line vertical line  
7 vertical line vertical line  
8    
9 vertical line  

The last seven words in the book that Olga needs to add to the table are

.......... and they all lived happily ever after.

i)
Complete the tally and frequency columns in the table.

[2]

ii)
Find the range.

[1]

iii)
Find the median.

[1]

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12
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4 marks

72 students each study one of the sciences shown in the table.
The results are to be shown in a pie chart.

Science Number of students Pie chart sector angle
Biology 25 125°
Chemistry 16  
Physics 31  

i)
Complete the table.

[2]

ii)
Complete the pie chart.
q6cii-058032-mayjune2018-cie-igcse-maths-core
[2]

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13
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4 marks

25 students go on a water sports trip.
The students each choose their favourite water sport.
These are the results.

Rafting                Fishing              Surfing            Snorkelling         Surfing

Snorkelling         Rafting               Kayaking         Rafting               Snorkelling

Fishing               Surfing               Surfing             Kayaking           Surfing

Fishing               Snorkelling         Surfing            Surfing               Rafting

Rafting               Fishing               Snorkelling      Snorkelling         Surfing

i)
Complete the frequency table for the results.

You may use the tally column to help you.

Favourite water sport Tally Frequency
Rafting    
Surfing    
Fishing    
Kayaking    
Snorkelling    

[2]

ii)
Write down the mode.

[1]

iii)
Work out the percentage of students whose favourite water sport is snorkelling.
................................ % [1]

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1
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5 marks

66 football players each take five penalties.
The number of penalties that each player scores is recorded.
The results are shown in the bar chart.

qp2a-0580-32-paper-3-march-2020-cie-igcse-maths

i)
Write down the mode.
[1]
ii)
Write down the range.
[1]
iii)
Calculate the mean.
[3]

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2
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7 marks

Joel spins a fair five-sided spinner numbered 2, 3, 4, 5 and 6.

Joel asks 30 students to guess the number that the spinner will land on next.
This pie chart shows the results.

qp3c-0580-03-paper-3-specimen-2020-cie-igcse-maths

i)
The sector angle for the number 6 is 168°.

How many students guessed the number 6?
[2]
ii)
Find the percentage of the students who guessed a number less than 5.
[3]
iii)
Joel spins the spinner.
10% of the students guessed correctly.

Which number did the spinner land on?
[2]

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3a
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1 mark

80 students each record the name of their mathematics teacher.
The number of these students taught by Mr House and by Miss Patel are shown in the bar chart.

q2-058032-mayjune2019-cie-igcse-maths-core-1

How many more students are taught by Miss Patel than by Mr House?

3b
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4 marks

15 students are taught by Mr Smith.
Twice as many students are taught by Mrs Brown than by Mr Jones.

Use this information to complete the bar chart.

3c
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1 mark

One of these students is chosen at random.

Work out the probability that this student

i)
is taught by Mr House,
[1]
ii)
is not taught by either Mr House or Miss Patel.
[2]
3d
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2 marks

This information is also to be shown in a pie chart.
Work out the sector angle for Miss Patel.

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4a
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6 marks

60 boys are asked to name their favourite sport.
The results are shown in the pie chart.

q1a-058032-march2019-cie-igcse-maths-core

i)
Write down the most popular sport.

[1]

ii)
Write down the fraction of boys who choose Running.

[1]

iii)
Work out how many boys choose Judo.
[2]
iv)
One of the boys is chosen at random.

Work out the probability that his favourite sport is not Judo.

[1]

v)
Complete this statement.

Three times as many boys choose ....................... than choose ......................
[1]
4b
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2 marks

Two of the boys in part (a) then change their choice from Running to Swimming.

Complete the pie chart after this change.
The Tennis, Judo and Hockey sectors have been drawn for you.

q1b-058032-march2019-cie-igcse-maths-core

4c
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2 marks

60 girls are asked to name their favourite sport.
Their results are shown in the bar chart below.

q1c-058032-march2019-cie-igcse-maths-core

Using your pie chart in part (b) and the bar chart above, write down one similarity and one difference between the girls’ results and the boys’ results.

Similarity ....................................
Difference ....................................

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5
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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.

q15-058012-octnov2018-cie-igcse-maths-core

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6
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6 marks

Some people each recorded their favourite holiday destination.
The results are shown in the pie chart.

q1a-058033-octnov2018-cie-igcse-maths-core

i)
Complete the statements about the pie chart.
The sector angle for Mexico is ........................................ degrees.
The most popular destination is ........................................
1 fifth of the people chose ........................................
Three times as many people chose ........................................ as ........................................

[4]

ii)
180 people chose Bali.

Find how many people were asked altogether.

[2]

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7
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4 marks

Geoff asks some supporters to choose a new colour for the team’s shirts.
The results are to be shown in a pie chart.
The table shows some of this information.

Colour Frequency Pie chart sector angle
Red 41 123°
Blue   69°
Green    
Other 18 54°

i)
Complete the table.

[3]

ii)
Complete the pie chart.

q5cii-058033-mayjune2018-cie-igcse-maths-core

[1]

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8
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4 marks

Some people go fishing and catch four types of fish.

Some information is shown in the table.

Type of fish Number of fish Pie chart sector angle
Cod 15 120°
Mackerel 9 72°
Herring   32°
Tuna    

i)
Complete the table.
[3]
ii)
Complete the pie chart.
q4aii-058032-march2018-cie-igcse-maths-core

[1]

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