# Functional Skills: Pie Charts

## Functional Skills: Pie Charts Revision

**Pie Charts**

**Pie charts** are a way of displaying data in a different way. They are circular and are divided into different parts.

The size of a section represents how much or how many of something there is.

**Understanding Pie Charts**

The **pie chart** below shows the nationalities of people in a bowling alley.

The size of each section shows the proportion of people with that nationality.

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**Drawing Pie Charts**

To draw **pie charts**, you need to to work out the angle of each section.

Then, you need to draw the circle using a pair of compasses and fill in each section using a protractor.

**Example:** Students in a year group are asked to pick a subject to continue studying.

The table shows these results.

Draw a **pie chart** to display this data.

The pie chart will need three sections – one for Geography, one for History and one for Religious Studies.

Divide 360 \degree by the total number of students, to find out what angle represents one student:

65+35+20=120

360\degree \div 120 \degree = \textcolor{orange}{3} \degree

Find the angle for each subject by multiplying the angle for one student by the number of students who chose that subject:

Then draw a circle and fill in each section using a protractor to create a pie chart.

Label each section with what it represents.

## Functional Skills: Pie Charts Example Questions

**Question 1:** A child is looking at the different types of vehicles in a car park.

They draw the following pie chart.

**a)** Which type of vehicle does the child see the most of?

**b)** What fraction of vehicles were motorbikes?

**[3 marks]**

a) The largest section is the ‘car’ section. Therefore the type of vehicle that the child saw the most of was a car.

b) The total angle in a circle is 360\degree.

45\degree is taken up by the motorbike section.

Therefore, the fraction of vehicles that were motorbikes is

45\degree \div 360\degree = \dfrac{1}{8}

**Question 2:** The manager of a cinema is looking at the ages of visitors in screen 1 and screen 2.

They represent this data in the pie charts below.

**a)** In which screen are adults the most common age group?

**b)** The manager thinks that \dfrac{1}{4} of people in screen 1 are children. Are they correct?

**c)** What fraction of people in screen 2 are students?

**[5 marks]**

a) In screen 2, the adults are the most common age group.

b) Yes, they are correct.

The angle for the children section is 90\degree and

90\degree \div 360\degree = \dfrac{1}{4}

c) The angle for the student section is 45\degree

\dfrac{45\degree}{360\degree} = \dfrac{1}{8}

**Question 3:** The table below shows the type of 60 pasties that a bakery has sold in an hour.

Draw a pie chart for this information.

**[4 marks]**

120\degree \div 20 = 6\degree per pasty.

So, we can complete the table, by multiplying the number of pasties in each row by 6\degree:

Then, using a pair of compasses and a protractor, we can draw the pie chart, making sure to label the sections.