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Level 5-6 Data Handling - Pie Charts
Do you like playing tennis?

Level 5-6 Data Handling - Pie Charts

In KS3 Maths, you'll dive into data handling, and that involves showing information with graphs, tables, or charts. This quiz zooms in on one of these – the pie chart.

A pie chart is like a visual guide to see how data is spread across categories. Each category gets a 'slice' of the pie, and the bigger the 'slice', the more important that category is.

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Imagine 100 people naming their favourite film genre. If 50 say comedy and only 5 say romance, the comedy slice is like half the pie, and romance is just one-tenth. Now, the tricky part is turning these fractions into degrees.

Remember, a whole circle has 360o, so 1% is 3.6o. In our example, comedy takes 180o, and romance is 36o. Simple once you get the hang of it! Give this quiz a go to see how well you get pie charts.

1.
Each 'slice' of a pie chart is what part of a circle?
Sector
Segment
Sequence
Series
A sector is a portion of a circle enclosed by two radii and an arc
2.
The size of each 'slice' of pie is measured by its .......
accuracy
amplitude
angle
arc
The larger the angle, the more important the category
3.
The total of the pie chart angles should be .......
90°
180°
270°
360°
Just as in all circles
4.
In a percentage pie chart, what angle represents 10% of the data?
15°
30°
36°
72°
10% is 1/10. One tenth of the pie chart is 360 / 10 = 36
5.
What fraction of a pie chart showing the favourite TV soaps of 400 people, represents the 80 people who chose Eastenders?
1/8
1/5
1/4
1/2
80 / 400 = 1/5
6.
In the TV soaps survey 150 people chose Coronation Street. What pie chart angle represents this group?
120°
125°
130°
135°
150 / 400 = 3/8. To find 3/8 of 360° divide by 8 then multiply by 3. (360 / 8) x 3 = 45 x 3
7.
In a pie chart showing the sports played by 1,000 boys, a 45° sector is labelled 'no regular sport'. How many boys does this represent?
45
125
200
720
45° is 1/8 of the pie chart so represents 1/8 of the 1,000 boys. 1000 / 8 = 125
8.
What percentage of the boys said they took part in no regular sport?
10%
121⁄2%
25%
331⁄3%
It's helpful to remember some common percentages and their fraction equivalents, e.g. 1/8 = 121⁄2%
9.
The sector labelled 'football' is more than half the pie chart so the number of boys who play football is more than .......
180
360
500
750
Half of 1,000 is 500. You cannot say how much more than 500 unless you know the size of the pie chart angle
10.
Ten boys said they played tennis. To the nearest degree, what pie chart angle represents tennis?
4°
5°
14°
15°
10 is 1% of the total. To find 1% you divide by 100. 360 / 100 = 3.6
You can find more about this topic by visiting BBC Bitesize - Representing data

Author:  Frank Evans
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