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Maths Quiz - Level 5-6 Data Handling - Pie Charts (Questions)

Learn how to read and draw pie charts in KS3 Maths. Each slice shows how much of a total something represents, helping data make sense visually.

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(quiz starts below)

Fascinating Fact:

Sports possession shows neatly in pie charts. If a team holds the ball for 54 minutes out of 90, the slice is 54 over 90 of 360 degrees, which is 216 degrees.

In KS3 Maths, pupils learn to interpret and create pie charts to show how data is divided into parts of a whole. Each slice of the circle represents a proportion of the total, making comparisons easy to see.

Key Terms

Pie Chart: A circular chart divided into slices to show proportions of a total.
Sector: A section of a circle representing one category in a pie chart.
Proportion: The part of the total that one category represents, often shown as a fraction or percentage.

Frequently Asked Questions (Click to see answers)

How do you calculate the angle for a pie chart?

Divide each category value by the total, then multiply by 360 to find the angle in degrees. For example, 15 out of 60 equals 15÷60×360=90°.

Why are pie charts useful?

Pie charts are useful for comparing parts of a total. They help you see at a glance which categories are largest or smallest in proportion.

What is a common mistake when reading pie charts?

A common mistake is assuming bigger slices always mean larger numbers. The total matters too, because the same angle can represent different amounts in different charts.

Try These Related Quizzes

1.

Each 'slice' of a pie chart is what part of a circle?

[ ]	Sector
[ ]	Segment
[ ]	Sequence
[ ]	Series

2.

The size of each 'slice' of pie is measured by its .......

[ ]	accuracy
[ ]	amplitude
[ ]	angle
[ ]	arc

3.

The total of the pie chart angles should be .......

[ ]	90°
[ ]	180°
[ ]	270°
[ ]	360°

4.

In a percentage pie chart, what angle represents 10% of the data?

[ ]	15°
[ ]	30°
[ ]	36°
[ ]	72°

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

6.

In the TV soaps survey 150 people chose Coronation Street. What pie chart angle represents this group?

[ ]	120°
[ ]	125°
[ ]	130°
[ ]	135°

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

8.

What percentage of the boys said they took part in no regular sport?

[ ]	10%
[ ]	12¹⁄₂%
[ ]	25%
[ ]	33¹⁄₃%

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

10.

Ten boys said they played tennis. To the nearest degree, what pie chart angle represents tennis?

[ ]	4°
[ ]	5°
[ ]	14°
[ ]	15°

You can find more about this topic by visiting BBC Bitesize - Representing data

Maths Quiz - Level 5-6 Data Handling - Pie Charts (Answers)

1.

Each 'slice' of a pie chart is what part of a circle?

[x]	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
[x]	angle
[ ]	arc

The larger the angle, the more important the category

3.

The total of the pie chart angles should be .......

[ ]	90°
[ ]	180°
[ ]	270°
[x]	360°

Just as in all circles

4.

In a percentage pie chart, what angle represents 10% of the data?

[ ]	15°
[ ]	30°
[x]	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
[x]	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°
[x]	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
[x]	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%
[x]	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
[x]	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?

[x]	4°
[ ]	5°
[ ]	14°
[ ]	15°

10 is 1% of the total. To find 1% you divide by 100. 360 / 100 = 3.6