Pie Charts

Be able to construct a pie chart from a collection of data, using a

protractor.

Makes of car in a school car park

Make Cavalier Ford Rover Volvo

Frequency 3 2 4 1

Construct a pie chart to show this information.

A full circle is 360o

There are a total of 3+2+4+1 = 10 cars

So 360º has to be shared amongst 10 cars.

Calculate 360º10 = 36º

We use 36o to represent each car360o

Work out the missing numbers on this number spider

÷ 30

÷ 12

÷ 24

÷ 20

÷ 10

÷ 15

÷ 90

÷ 4

360

12

30

15

18

36

24

4

90

Makes of car in a school car park

Make Cavalier Ford Rover Volvo

Frequency 3 2 4 1

Angle in pie chart

We use 36o to represent each car so the3 Cavaliers are represented by 3x36o = 108o

Work out the angle needed for each of the other models of car

3x36o

=108o

2x36o

=72o

4x36o

=144o

1x36o

=36o

Makes of car in a school car park

Make Cavalier Ford Rover Volvo

Angle 108o 72o 144o 36o

Mark the centre of the pie and draw the circle.

Draw a line from the centre to the edge

Measure the first angle needed (108o)

Draw in the line and label the section

108oCavalier

Makes of car in a school car park

Make Cavalier Ford Rover Volvo

Angle 108o 72o 144o 36o

From this line measure the next angle, draw the line and label the section.

Continue in this way

Check that the last section has the correct angle and label it.

72o

Cavalier

Ford144o

Rover

36oVolvo

Why?

• Why do we use 36o to represent 1 car?

• What would happen if there were 20 cars?

• What about 60 cars? Or 15 cars?

If there were 20 cars in your survey, what angle would you use to represent 4 cars? 7 cars? 12 cars?

Q1 A survey of how 30 pupils got to school

Q2 How Cameroon spent his £40 birthday money

Q3 Who is your favourite Telly-Tubby survey.

Construct Pie charts questions

Method Walk Cycle Car Bus

Frequency 15 5 7 3

How Games Clothes Books Cinema

Amount £6 £19 £9 £6

Telly-Tubby

Tinky-Winky

Dipsy La-La Po

Frequency 12 20 18 40

Interpreting Pie Charts

20 pupils in class 3B travel to school. From the chart find the number of pupils who travel by each method.

Walk =

Cycle =

Bus =

920360162

42036072

720360126

180 boys in year 5 chose their favourite sport. From the chart find how many chose each sport.

Football144°

Rugby80°

Cross Country

40°

Hockey60°

Squash36°

300 passengers boarded a train in London. From the chart find how many are travelling to each destination.

Southampton120°

Poole60°

Parkstone36°

Branksome54°

Bournemouth90°

150 packets of crisps were sold from a vending machine. From the chart find the number for each flavour. Find also the percentage for each.

Cheese & Onion60°

Prawn Cocktail36°

Salt & Vinegar72°

Plain144°

AnswersYear 7 pupils travel to school

Walk, 15, 50%

Cycle, 5, 17%

Car, 7, 23%

Bus, 3, 10%

How Cameron spent his birthday money

Games, £6, 15%

Clothes, £19, 47%

Books, £9, 23%

Cinema, £6, 15%

Favourite Telly-Tubby

Tinky-Winky, 12,

13%

Dipsy, 20, 22%

La-La, 18, 20%

Po, 40, 45%

Sports:Football: 72, Rugby 40, Hockey 30Cross Country 20, Squash 18 pupils.

Passengers: Southampton 100, Bournemouth 75, Poole 50, Branksome 45, Parkstone 30.

Crisps: Plain 60, Cheese & Onion 45,Salt & Vinegar 30, Prawn Cocktail 15