# Draw Pie Charts

In this worksheet, students practice drawing pie charts

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR

Curriculum topic:   Statistics

Curriculum subtopic:   Statistics, Interpreting and Representing Data

Difficulty level:

### QUESTION 1 of 10

When we are drawing a pie chart, we will normally be given a frequency table and have to link the frequencies to the angles we are going to draw,

Example: Here are the makes of some cars. Draw a pie chart to show this data.

 Make Ford Nissan BMW Mini Vauxhall Frequency 4 5 2 3 6

Step 1: Find out what the total frequency is

If we add the frequencyies together, we get 4 + 5 + 2 + 3 + 6 = 20

This means our pie chart has to represent 20 cars in total.

Step 2: Work out what each car is worth as an angle.

All circles have 360°. If we split this into 20 parts

260 ÷ 20 = 18°

Step 3: Work out what each category is worth

There are 4 fords and each one is worth 18°. This means the Ford category is worth 4 x 18 = 72°

We can do this for all the other categories to get...

 Make Ford Nissan BMW Mini Vauxhall Frequency 4 5 2 3 6 Angle 72 90 36 54 108

We can now check we have done this correctly by adding up all the angles. We should always get 360.

Step 4: Draw the angles onto a pie chart and label the sectors.

I always like giving a key instead of writing the names in the sectors. It doesn't matter which you do, you'll still get the same marks either way.

The first step when we draw a pie chart is to...

Once we have what each data point is worth (in degrees)...

The favourite programmes of some adults were collected and are shown below.

 Fav. Programme Line of Duty Killing Eve Game of Thrones Emmerdale Bodyguard Frequency 15 18 10 13 4

How many adults were in the survey?

The ways some pupils get to school are shown below

 Fav. Programme Walk Car Bus Cycle Frequency 13 25 10 42

What is each child worth on the pie chart? (don't worry about units)

The favourite programmes of some adults were collected and are shown below.

 Fav. Programme Line of Duty Killing Eve Game of Thrones Emmerdale Bodyguard Frequency 15 18 10 13 4

What angle do I need to draw for each category

 Angle Line of Duty Killing Eve Game of Thrones Emmerdale Bodyguard

The favourite programmes of some adults were collected and are shown below.

 Fav. Programme Line of Duty Killing Eve Game of Thrones Emmerdale Bodyguard Frequency 15 18 10 13 4

Which of the two pie charts have been drawn correctly?

Left one

Right one

The ways some pupils get to school are shown below

 Fav. Programme Walk Car Bus Cycle Frequency 13 25 10 42

How many kids were in the survey?

The favourite programmes of some adults were collected and are shown below.

 Fav. Programme Line of Duty Killing Eve Game of Thrones Emmerdale Bodyguard Frequency 15 18 10 13 4

What is each adult worth on the pie chart? (don't worry about units)

The ways some pupils get to school are shown below

 Fav. Programme Walk Car Bus Cycle Frequency 13 25 10 42

What angle do I need to draw for each category

 Angle Walk Car Bus Cycle

The ways some pupils get to school are shown below

 Journey Method Walk Car Bus Cycle Frequency 13 25 10 42

Which of the two pie charts have been drawn correctly?

Left one

Right one

• Question 1

The first step when we draw a pie chart is to...

EDDIE SAYS
We need to find out how much we are splitting the circle into. If we add up the frequencies and divide 360 by this, we find what angle each data point is worth.
• Question 2

Once we have what each data point is worth (in degrees)...

EDDIE SAYS
Since we don't draw the individual data points on a pie chart, we need to know how many are in each category. For example, If we had 10 cars and each was worth 6° The car category would have an angle of 10 x 6 = 60°
• Question 3

The favourite programmes of some adults were collected and are shown below.

 Fav. Programme Line of Duty Killing Eve Game of Thrones Emmerdale Bodyguard Frequency 15 18 10 13 4

How many adults were in the survey?

60
EDDIE SAYS
All we have to do here is to add up all the frequencies.
• Question 4

The ways some pupils get to school are shown below

 Fav. Programme Walk Car Bus Cycle Frequency 13 25 10 42

What is each child worth on the pie chart? (don't worry about units)

4
EDDIE SAYS
We have 90 children to put into a circle that has 360 degrees. 360 ÷ 90 =
• Question 5

The favourite programmes of some adults were collected and are shown below.

 Fav. Programme Line of Duty Killing Eve Game of Thrones Emmerdale Bodyguard Frequency 15 18 10 13 4

What angle do I need to draw for each category

 Angle Line of Duty Killing Eve Game of Thrones Emmerdale Bodyguard
EDDIE SAYS
Each adult was worth 6°. All we have to do is multiply the frequency by the angle to find the angle for the category. Remember, once you have done this, you can check your answers by adding up the angles. They should always make 360
• Question 6

The favourite programmes of some adults were collected and are shown below.

 Fav. Programme Line of Duty Killing Eve Game of Thrones Emmerdale Bodyguard Frequency 15 18 10 13 4

Which of the two pie charts have been drawn correctly?

Left one
EDDIE SAYS
You need to be able to spot if the angles you have drawn are correct. If we compare Line of Duty (Orange) and BodyGuard (Yellow). The orange sector should be 5 times the size of the yellow one. In the right-hand pie chart, they're about the same size so this cannot be drawn correctly.
• Question 7

The ways some pupils get to school are shown below

 Fav. Programme Walk Car Bus Cycle Frequency 13 25 10 42

How many kids were in the survey?

90
EDDIE SAYS
All we have to do here is to add up all the frequencies.
• Question 8

The favourite programmes of some adults were collected and are shown below.

 Fav. Programme Line of Duty Killing Eve Game of Thrones Emmerdale Bodyguard Frequency 15 18 10 13 4

What is each adult worth on the pie chart? (don't worry about units)

6
EDDIE SAYS
We have 60 adults to put into a circle that has 360 degrees. 360 ÷ 60 =
• Question 9

The ways some pupils get to school are shown below

 Fav. Programme Walk Car Bus Cycle Frequency 13 25 10 42

What angle do I need to draw for each category

 Angle Walk Car Bus Cycle
EDDIE SAYS
Each child was worth 4°. All we have to do is multiply the frequency by the angle to find the angle for the category. Remember, once you have done this, you can check your answers by adding up the angles. They should always make 360
• Question 10

The ways some pupils get to school are shown below

 Journey Method Walk Car Bus Cycle Frequency 13 25 10 42

Which of the two pie charts have been drawn correctly?

Right one
EDDIE SAYS
You need to be able to spot if the angles you have drawn are correct. Our data says that the biggest angle that is drawn should be the one for cycle.
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