# Ratio and Proportion: Reading a Pie Chart (1)

Key stage:  KS 2

Curriculum topic:   Statistics

Curriculum subtopic:   Use Charts and Graphs

Difficulty level:

### QUESTION 1 of 10

Pie charts are based on fractions of 360°.

The fractions can be worked out from the angles at the centre of the chart.

This pie chart shows the results of a survey on favourite crisp flavours.

The Salt and Vinegar sector shows 36° which is 36/360 of the whole circle (i.e. 1/10).

Now we need a hard fact, such as the actual number who chose Salt and Vinegar or the total number in the survey.

Example 1

If 15 people chose Salt and Vinegar, how many people took part in the survey?

15 people are shown in 1/10 of the circle, so there must be 10 x 15 = 150 people in total.

Example 2

If 40 people took the survey, how many people chose Salt and Vinegar?

We need to work out 1/10 of 40 = 4, so 4 people chose Salt and Vinegar.

This pie chart shows the results of a survey on favourite crisp flavours.

40 people took part in the survey.

This pie chart shows the results of a survey on favourite crisp flavours.

80 people took part in the survey.

This pie chart shows the results of a survey on favourite crisp flavours.

80 people took part in the survey.

How many chose Prawn Cocktail?

This pie chart shows the results of a survey on favourite crisp flavours.

40 people took part in the survey.

How many chose Salt and Vinegar?

This pie chart shows the results of a survey on favourite crisp flavours.

44 people took part in the survey.

How many chose Cheese and Onion?

This pie chart shows the results of a survey on favourite crisp flavours.

100 people took part in the survey.

This pie chart shows the results of a survey on favourite crisp flavours.

200 people took part in the survey.

How many chose Cheese and Onion?

This pie chart shows the results of a survey on favourite crisp flavours.

200 people chose Cheese and Onion.

How many took part in the survey?

This pie chart shows the results of a survey on favourite crisp flavours.

How many in total were in the survey?

This pie chart shows the results of a survey on favourite crisp flavours.

20 people chose Prawn Cocktail.

How many chose Cheese and Onion?

• Question 1

This pie chart shows the results of a survey on favourite crisp flavours.

40 people took part in the survey.

10
EDDIE SAYS
1/4 of the pie chart is Ready Salted, so 1/4 of 40 = 10.
• Question 2

This pie chart shows the results of a survey on favourite crisp flavours.

80 people took part in the survey.

20
EDDIE SAYS
1/4 of the pie chart is Ready Salted, so 1/4 of 80 = 20.
• Question 3

This pie chart shows the results of a survey on favourite crisp flavours.

80 people took part in the survey.

How many chose Prawn Cocktail?

10
EDDIE SAYS
1/8 of the pie chart is Prawn Cocktail, so 1/8 of 80 = 10.
• Question 4

This pie chart shows the results of a survey on favourite crisp flavours.

40 people took part in the survey.

How many chose Salt and Vinegar?

5
EDDIE SAYS
1/8 of the pie chart is Salt and Vinegar, so 1/8 of 40 is 5.
• Question 5

This pie chart shows the results of a survey on favourite crisp flavours.

44 people took part in the survey.

How many chose Cheese and Onion?

22
EDDIE SAYS
1/2 of the pie chart is Cheese and Onion, so 1/2 of 44 is 22.
• Question 6

This pie chart shows the results of a survey on favourite crisp flavours.

100 people took part in the survey.

25
EDDIE SAYS
1/4 of the pie chart is Ready Salted, so 1/4 of 100 is 25.
• Question 7

This pie chart shows the results of a survey on favourite crisp flavours.

200 people took part in the survey.

How many chose Cheese and Onion?

100
EDDIE SAYS
1/2 of the pie chart is Cheese and Onion, so 1/2 of 200 is 100.
• Question 8

This pie chart shows the results of a survey on favourite crisp flavours.

200 people chose Cheese and Onion.

How many took part in the survey?

400
EDDIE SAYS
If 200 people chose Cheese and Onion and that's half of the pie chart, then 1/4 chose Ready Salted which is 100 people, and 1/4 chose Prawn Cocktail and Salt and Vinegar which is 100 people also. 200 + 100 + 100 = 400 people took part in the survey.
• Question 9

This pie chart shows the results of a survey on favourite crisp flavours.

How many in total were in the survey?

200
EDDIE SAYS
1/4 of the people, or 50, chose Ready Salted, so 50 chose Prawn Cocktail and Salt and Vinegar, while 100 people chose Cheese and Onion. Altogether, 50 + 50 + 100 = 200 people took the survey.
• Question 10

This pie chart shows the results of a survey on favourite crisp flavours.

20 people chose Prawn Cocktail.

How many chose Cheese and Onion?

80
EDDIE SAYS
If 20 people chose Prawn Cocktail, and that's 1/8 of the pie chart, then 4/8 chose Cheese and Onion, which is 20 + 20 + 20 + 20 = 80.
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