Mini Minds Hub · Free printable
Pie Chart Sports Survey: Free Printable Chart for Year 6
- ForYear 6
- StageKey Stage 2
- CostFree
- FormatPrintable PDF
Pie Chart Sports Survey is a free printable pie chart sheet for Year 6 (ages 10 to 11). Children turn votes into angles, then use the chart to find fractions and percentages. It needs only a pencil, and page 2 gives the grown-up notes, help for children who find it hard, a stretch idea and the answers.
It comes from the Mini Minds Hub, the free library of printables from Jaques of London, the British games and toy company that has been making games for families since 1795. Print both pages, give page 1 to your child and keep page 2 for yourself. Black and white printing works well.
What is on the sheet
Children fill in a table with four columns: Sport, Children, Working and Angle. They turn the number of children who chose each sport into an angle for its slice. Numbered questions with space to answer then ask them to read the chart. They give a fraction in its simplest form, find a percentage and look for slices of the same size. Children also check that their angles add up to 360 degrees.
- Sport
- Children
- Working
- Angle
- What fraction chose swimming? Give it in its simplest form.
- What percentage chose football?
- Which two sports have slices the same size?
A worked example with a different survey
24 children vote for their favourite fruit. 6 children choose apples. What angle is the apple slice? What fraction and what percentage chose apples?
This uses a different survey from the sheet. It shows two ways to find the angle, then how to find the fraction and percentage.
Method 1: find the angle for one child- A full turn is 360 degrees. Divide it by the number of children: 360 ÷ 24 = 15 degrees for each child.
- 6 children chose apples, so multiply: 6 × 15 = 90 degrees.
- Write the fraction of children who chose apples: 6 out of 24, which is 6/24.
- Simplify by dividing top and bottom by 6. That gives 1/4.
- Find 1/4 of 360 degrees: 360 ÷ 4 = 90 degrees.
How a pie chart is built
Find the total
Add up all the votes. The total is the whole circle, so every slice is a share of it.
Find the angle for one vote
Divide 360 by the total number of votes. Each vote gets the same size of angle.
Find the angle for each sport
Multiply the angle for one vote by the number of children who chose that sport. Write it in the Angle column.
Check the total
Add all the angles. They must make 360. If they do not, look for a slip in one of the rows.
What a pie chart shows
A pie chart is a circle split into slices. The whole circle stands for everything that was counted, such as every vote in a survey. Each slice shows one group's share of the whole. A bigger slice means a bigger share, so children can compare groups at a glance without reading a long list of numbers.
The angle at the centre of each slice tells you how big it is. A full turn is 360 degrees, so the angles of all the slices must add up to 360. Because each slice is a part of a whole, it can be written as an angle, a fraction or a percentage. All three describe the same share.
Quick angle facts
- A full turn is 360 degrees.
- A half turn is 180 degrees.
- A quarter turn is a right angle, which is 90 degrees.
- In a pie chart, the biggest slice is the group with the most votes.
- A protractor is the tool used to measure and draw angles.
Skills and curriculum link
- Reading pie charts
- Calculating angles
- Simplifying fractions
- Finding percentages
- Checking totals
Facts that help with pie charts
- Full turnA whole circle is 360 degrees, so all the slices share that total.
- Equal votesIf two groups have the same number of votes, their slices are the same size.
- FractionsA slice is a fraction of the circle. The fraction is the votes for that group over the total votes.
- PercentagesA percentage is a fraction out of 100. Percent means for each hundred.
Key words
- Pie chartA circle split into slices to show how a whole is shared between groups.
- AngleThe amount of turn between two lines that meet at a point.
- DegreeThe unit used to measure angles. A full turn is 360 degrees.
- FractionA part of a whole, such as 1/4. The top number counts the parts and the bottom number says how many equal parts make the whole.
- Simplest formA fraction written with the smallest whole numbers possible. It has the same value as the fraction you started with.
- PercentageA number out of 100. The symbol is %.
How to use it
- Print both pages. Page 1 is for the child. Keep page 2 for the grown-up.
- Work through the activity together the first time. Talk about each choice.
- Fill in the table, then answer the numbered questions on page 1.
- Check that your angles add up to 360. If they do not, find the slip.
- Check against the notes and answers on page 2. Come back to it another day, because repeating a familiar activity builds confidence.
Help, stretch and game ideas
If it feels too hard
Write 9 times the number of children for each row first. Do this one row at a time and use a calculator to check. Then add up your angles to see whether they make 360. Fill in the table before you try the fraction and percentage questions.
To stretch confident children
Draw the pie chart with a protractor. Mark the centre, draw a line to the edge, then measure each angle in turn. Label each slice with its sport. Then check that the last slice closes the circle exactly.
Make it a game
Run your own class or family vote on a favourite sport, snack or game. Count the votes, work out the angles and draw the pie chart. Then ask others to read the chart and say which choice won.
Mistakes to watch for
Watch forThe angles do not add up to 360.
Try thisAdd the angles again, then check each row by multiplying again. One small slip in a single row is the usual cause.
Watch forThe fraction is left unsimplified.
Try thisAsk whether the top and bottom numbers can both be divided by the same number. Keep dividing until they cannot.
Watch forA child mixes up degrees and percentages.
Try thisRemind them that a full circle is 360 degrees but also 100 percent. Degrees are out of 360 and percentages are out of 100.
Talk about it
- Why must the angles add up to 360?
- What does a bigger slice tell you?
- How could you tell two slices were the same size without measuring?
- Why might a pie chart be easier to read than a list of votes?
- Which would you pick to show your survey, a pie chart or a table, and why?
- What would happen to the slices if more children voted?
Take it off the page
Family vote
Ask family members to pick a favourite meal or game. Record the votes in a table and decide how you would split a circle between them.
Paper plate pie chart
Cut a paper plate into slices to match a set of votes. Fold it in halves and quarters first to help. Label each slice.
Angle hunt
Look around the home for right angles and half turns, such as corners of books or an open door. Talk about how many degrees each one is.
Who it is for
Parents
Sit with your child for the first go and let them lead. Ask them to explain how they found each angle. If they get stuck, start with the table and check one row at a time.
Teachers
Use it as a starter, plenary, early finisher task, homework or table activity after teaching pie charts. It needs no preparation beyond printing. Page 2 has answers, support and stretch ideas for mixed ability groups.
Home educators
Pair it with a real survey in your own household. Children see why pie charts are useful when the votes are their own. Reuse the sheet for brothers and sisters, or as revision a few weeks later.
Where this fits
Before this, children meet tables and charts, fractions, percentages and measuring angles in earlier years. This sheet draws those strands together in one task. It asks children to move between votes, angles, fractions and percentages.
After this, children can read and draw pie charts and line graphs with more confidence. They can also solve problems with data and compare charts. These skills lead into statistics work in later years.
Questions parents and teachers ask
- What age is Pie Chart Sports Survey for?
It is written for Year 6 (ages 10 to 11), in Key Stage 2. Children need to be comfortable with fractions and with multiplication and division before they start. Younger children may need a grown-up beside them.
- What will children practise?
Children read a pie chart and use a full turn of 360 degrees to work out angles, fractions and percentages. This links to the Year 6 statistics strand of the National Curriculum for England.
- Do we need a protractor?
Not for page 1, which asks children to calculate angles. A protractor is only needed for the stretch idea, where children draw the pie chart and measure each angle.
- What if it feels too hard?
Start by writing 9 times the number of children for each row, and use a calculator to check. Do the table first, then try the questions. Work together on the first go.
- How do I know if my angles are right?
Add up all the angles. They must make 360 degrees. If they do not, one row has a slip, so check each multiplication again. Page 2 also has the answers.
- Can teachers use it in class?
Yes. It works as a starter, plenary, early finisher task, homework or table activity. It needs no preparation beyond printing, and page 2 gives support and stretch ideas for mixed ability groups.
- Can I use it for home education?
Yes. Home educators and tutors can use it on its own or as part of a wider maths plan. It is free to print again for brothers, sisters or revision.
Preview the full PDF
Made by Jaques of London, making games for families since 1795. A printable supports classroom learning and does not replace a teacher.