1. STD 6
Handling Data
Pie Charts

2. Can you: If not you need Draw a pie chart
Answer questions from pie charts
Try a test
TOP: Revise angles
Practice 1: How to draw a pie chart
Practice 2: Answer questions about pie charts
TAIL
If not you need

3. TOP Are you ready for the answers ? How many degrees in a circle?
360º
180º
90º
Looks like a square
Two equal sides, two equal angles
All sides and angles equal
Add up to 180º
All sides and angles are different
TOP
How many degrees in a circle?
How many degrees in a triangle?
How many degrees in a right angle?
How do we recognize a right angle?
What makes a triangle isosceles?
How do we know if a triangle is equilateral?
How many degrees in a quadrilateral?
What do we know about an interior and exterior angle?
What do all exterior angles add up to?
Write a fact about scalene triangles.
Lesson

4. Practice 1: Draw the pie charts from the tables below.1) 2)
Remember:
Step 1: Total frequency if not given
Step 2: 360º  Total Frequency
Step 3: Multiply each group by the answer to Step 2
Step 4: Draw the pie chart
Step 5: Label carefully
Activity
Frequency
Gym 4
Swimming 12
Squash 3
Aerobics 11
Total 30
Type of Pet
Frequency
Cat 30
Dog 25
Rabbit 15
Other 20
Total 90
Lesson

5. The pie chart shows how Jenny spends her monthly income.
Practice 2:
The pie chart shows how Jenny spends her monthly income.
Jenny spends £150 a month on food.
(a) Work out Jenny’s monthly income
(b) Work out how much Jenny spends on rent each month.
120º
Food
Rent
Other Bills
Savings
Clothes & Going Out
Put the angle in the pie chart over 360 (like a fraction), cancel down if possible and then relate it to the money Jenny has.
Next

6. (a) Work out the size of the angle representing Wages.
The pie chart gives information about the bills paid by a Water Company.
(a) Work out the size of the angle representing Wages.
The Water Company spent £ on Materials.
(b) Work out the amount it spent on Rates.
Lesson

7. TAIL Are you ready for the answers ?
1) Patrick carried out a survey of 45 pupils in Year 11. He asked how many books they had borrowed from the library in the last month. These are Patrick’s results.
(a) Copy and complete the table.
(b) Construct a pie chart to show this information.
Are you ready for the answers ?
Next

8. Answers to Q1
Angles : 11  8 = 88º
15  8 = 120º
13  8 = 104º
6  8 = 48º
Next

9. Are you ready for the answers ?
2) In a town, 1800 cars were stolen in a year. The table show information about the times of day in which they were stolen.
Time
Number of cars
Midnight to 6 am
700
6 am to midday 80
Midday to 6 pm
280
6 pm to midnight
470
Time unknown
270
This information can be shown on a pie chart.
(a) Copy out the table below and work out the angles for each sector.
Time
Angle of sector
Midnight to 6 am
6 am to midday
Midday to 6 pm
6 pm to midnight
Time unknown
Total of angles
360º
Are you ready for the answers ?
(b) Construct the pie chart.
(c) What fraction of cars were stolen between midday and 6pm. Write your answer in its simplest terms.
Next

10. Answers to Q2.
Angles: 700  0.2 = 140º
80  0.2 = 16º
280  0.2 = 56º
470  0.2 = 94º
270  0.2 = 140º
(c) 280 = 7
Lesson