What does a child have to do to interpret a pie-chart sector in the 11+?

Express one pie-chart sector as a fraction, percentage, or count. It is one of 55 named maths skills in the 11+, in the data strand, and this page carries 1 interactive exercise that practises it.

What is the trap in an 11+ interpret a pie-chart sector question?

A sector is compared with the whole chart, not with the slice sitting next to it. The wrong answers on this skill are built out of that, not out of random numbers, so it is worth naming out loud before your child meets it under time pressure.

What can I say if my child is stuck on interpret a pie-chart sector?

Point at the next move rather than explaining the whole rule. Write the Veterans count over the total of 25, then cancel that fraction as far as it will go.

What is not part of interpret a pie-chart sector in the 11+?

The skill map draws the line here: Total must be supplied when a count is required. A question past that line is testing a different named maths skill, which is worth knowing before you spend a week practising the wrong one.

Which other 11+ skills should we practise alongside interpret a pie-chart sector?

The data strand holds 9 skills that are placed together on the skill map, and the pages next to interpret a pie-chart sector are read a bar-chart value, read a line-graph value and read a table cell. Each has its own exercise and its own link, and none of them needs an account.

How can my child practise interpret a pie-chart sector for free?

Use Pie Reader, embedded on this page. It is the exercise the skill map attaches to interpret a pie-chart sector, it runs in the browser with no account to make, these exercises are not scored and do not save learner records. The separate quiz sends answers for marking and shows a score, without saving an assessment record. It also has its own link, so you can send it to a child without sending them anywhere else first.

Maths · Data

Interpret a pie-chart sector

Express one pie-chart sector as a fraction, percentage, or count.

Watch the worked example

One Sector, Three Forms

This video shows how to work out the fraction, percentage or number represented by a sector of a pie chart. Watch an 11+ maths question solved step by step.

Open video page and transcript

Keep practising with Smart Cub Learning. Find topics to practise next

Quick quiz: Interpret a pie-chart sector

10 questions, with feedback after each one. No sign-up needed.

Read the questions in this quiz

Question 1
What fraction of the whole chart is the Electricals sector?
- Compost23
- Timber43
- Electricals8
- Metal4
- Batteries22
- A.11/50
- B.1/25
- C.2/25
- D.23/25
Question 2
What percentage of the whole chart is the Landscapes sector?
- Sketches42
- Collages3
- Portraits3
- Landscapes36
- Seascapes16
- A.16%
- B.3%
- C.64%
- D.36%
Question 3
What fraction of the whole chart is the Driftwood sector?
- Driftwood4
- Cans14
- Plastic20
- Foam5
- Cartons7
- A.2/25
- B.1/10
- C.2/23
- D.2/5
Question 4
What percentage of the whole chart is the Archery sector?
- Relay8
- Discus11
- Javelin17
- Skipping3
- Archery11
- A.16%
- B.78%
- C.34%
- D.22%
Question 5
What fraction of the whole chart is the Denholm sector?
- Caldale18
- Hobton6
- Denholm5
- Garndale45
- Ashford26
- A.9/50
- B.1/20
- C.19/20
- D.1/19
Question 6
What fraction of the whole chart is the Wolves sector?
- Otters43
- Wolves41
- Lemurs4
- Tapirs4
- Bison8
- A.43/100
- B.1/25
- C.41/100
- D.41/59
Question 7
What percentage of the whole chart is the Musical sector?
- Magic11
- Ballet10
- Musical8
- Pantomime57
- Opera14
- A.14%
- B.57%
- C.8%
- D.92%
Question 8
What fraction of the whole chart is the Preserves sector?
- Jewellery2
- Preserves12
- Woollens37
- Honey42
- Pottery7
- A.1/50
- B.3/25
- C.3/100
- D.37/100
Question 9
What percentage of the whole chart is the Frogs sector?
- Caddisflies5
- Leeches11
- Frogs2
- Beetles28
- Dragonflies4
- A.2%
- B.4%
- C.96%
- D.8%
Question 10
What percentage of the whole chart is the Cartoon sector?
- Fantasy8
- Western20
- Cartoon29
- Documentary18
- Detective25
- A.8%
- B.20%
- C.18%
- D.29%

Practise it now

Tap the Drama sector. Then say what fraction of the whole pie it covers, written as simply as it goes.

It covers most of this skill rather than all of it.

Loading the interactive exercise. Nothing you do here is saved or scored.

A worked example

One question of the kind this skill is tested with, worked all the way through: the reasoning, and what the wrong answers are there to catch.

Outings logged by the rowing club

Look at the Veterans sector. What fraction of the whole chart is it?

Masters 11, Veterans 7, Senior 2, Junior 5 - 25 outings in total.

Masters11
Veterans7
Senior2
Junior5

$\frac{7}{18}$
$\frac{1}{5}$
$\frac{1}{4}$
$\frac{7}{25}$

Answer: $\frac{7}{25}$

How you get there

The Veterans sector is 7 of the 25 outings. $\frac{7}{25}$ is already in its simplest form, which means $\frac{7}{25}$ of the whole chart is Veterans.

Why the other answers tempt

A sector is compared with the whole chart, not with the slice sitting next to it.

If they are stuck, say this

Write the Veterans count over the total of 25, then cancel that fraction as far as it will go.

Now do it live in Pie Reader

Kitchen-table script for parents

Try this together

A friendly mini script for the breakfast table, school run or a quiet two minutes. Read it aloud as written, or make it your own.

Ready? Let's have a go at Interpret a pie-chart sector together. Take a look at the picture. Here is what matters: Masters 11, Veterans 7, Senior 2, Junior 5 - 25 outings in total. Pie chart slices: Masters is 11; Veterans is 7; Senior is 2; Junior is 5. Here comes the question: Look at the Veterans sector. What fraction of the whole chart is it? Before we race ahead, let us choose one good first step. Here is a helpful clue: Write the Veterans count over the total of 25, then cancel that fraction as far as it will go. Nice work. Now let us follow the thinking: The Veterans sector is 7 of the 25 outings. 7/25 is already in its simplest form, which means 7/25 of the whole chart is Veterans. So our answer is: 7/25. There is one sneaky trap to watch for: A sector is compared with the whole chart, not with the slice sitting next to it. Can you show me that first move again in your own words? Brilliant. No rush; we are practising a method you can reuse, not trying to win a speed contest.

What this exercise is doing

Pie Reader

Tap the Drama sector. Then say what fraction of the whole pie it covers, written as simply as it goes.

The pie is cut into 8 equal parts and Drama covers 2 of them, which is $\frac{2}{8}$ , and that simplifies to $\frac{1}{4}$ . The bottom of the fraction counts EVERY part of the pie, the Drama sector included. Comparing it with what is left over instead of with all of it is the commonest way a pie chart is misread, and it is the reason the whole pie is the thing you measure against.

Step 1. Find it. Tap the sector the question names.
Step 2. Read it. Now choose the fraction it covers.

What to say if they get stuck

Find the sector the question names. Check its label in the key before you count anything.
The pie is cut into equal parts, and the faint lines show where they are. Count the parts the sector covers.
Compare the sector with the whole pie, not with what is left over. Every part of the pie counts, including the sector you are naming.

Open Pie Reader on its own page to share it

Related maths skills

Calculate an arithmetic meanFind the mean of a short supplied data set.
Compare bar-chart valuesCompare two category values on a bar chart.
Compare line-graph changeCompare one change or gap between plotted values.
Compare table valuesCompare two values read from a table.
Decode a pictogram keyUse a pictogram key to determine one represented quantity.
Read a bar-chart valueRead one category value using the bar-chart scale.
Read a line-graph valueRead one plotted value at a named position.
Read a table cellFind one value at a named row and column.

All maths 11+ skills

Questions parents ask about interpret a pie-chart sector

What this skill involves, common mistakes and ways to practise it at home.

: Express one pie-chart sector as a fraction, percentage, or count. It is one of 55 named maths skills in the 11+, in the data strand, and this page carries 1 interactive exercise that practises it.
: A sector is compared with the whole chart, not with the slice sitting next to it. The wrong answers on this skill are built out of that, not out of random numbers, so it is worth naming out loud before your child meets it under time pressure.
: Point at the next move rather than explaining the whole rule. Write the Veterans count over the total of 25, then cancel that fraction as far as it will go.
: The skill map draws the line here: Total must be supplied when a count is required. A question past that line is testing a different named maths skill, which is worth knowing before you spend a week practising the wrong one.
: The data strand holds 9 skills that are placed together on the skill map, and the pages next to interpret a pie-chart sector are read a bar-chart value, read a line-graph value and read a table cell. Each has its own exercise and its own link, and none of them needs an account.
: Use Pie Reader, embedded on this page. It is the exercise the skill map attaches to interpret a pie-chart sector, it runs in the browser with no account to make, these exercises are not scored and do not save learner records. The separate quiz sends answers for marking and shows a score, without saving an assessment record. It also has its own link, so you can send it to a child without sending them anywhere else first.

Knowing which maths topic to practise is most of the work

A free diagnostic covers arithmetic, fractions, geometry, measure and data handling, and comes back with the topics to spend the next few weeks on.