icon-background-square
New
New
Year 6

Use understanding of angles, fractions and percentages to construct pie charts

I can construct pie charts using angles, fractions and percentages.

icon-background-square
New
New
Year 6

Use understanding of angles, fractions and percentages to construct pie charts

I can construct pie charts using angles, fractions and percentages.

warning

These resources will be removed by end of Summer Term 2025.

Switch to our new teaching resources now - designed by teachers and leading subject experts, and tested in classrooms.

Lesson details

Key learning points

  1. A pie chart is another way of presenting data representing parts of a whole.
  2. Pie charts can be constructed using knowledge of angles and fractions.
  3. A protractor is used to accurately measure each angle.

Keywords

  • Pie chart - A pie chart is a circular graph where sectors represent different groups in proportion to each other.

  • Sector - A sector is a part, or ‘pie-slice’ part, of a pie chart.

Common misconception

Pupils may make mistakes measuring with a protractor, reading the wrong scale to get a measurement.

Encourage pupils to check that each answer is sensible. Is the angle greater or less than a right angle? Have they drawn an angle greater/less than a right angle? Do all the angles add up to a sum of 360°?


To help you plan your year 6 maths lesson on: Use understanding of angles, fractions and percentages to construct pie charts, download all teaching resources for free and adapt to suit your pupils' needs...

This lesson uses several mathematical skills in the construction of pie charts. Pupils should have some familiarity with pie charts and also have a good understanding of fractions and percentages, including how to simplify a fraction. They should also be able to measure angles with a protractor.
speech-bubble
Teacher tip
copyright

Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

Loading...

6 Questions

Q1.
The pie chart shows the favourite pets of 24 Year 6 children. Which of the following is true?
An image in a quiz
Correct answer: 12 children chose dogs as their favourite pets.
3 children chose rabbits as their favourite pet.
Correct answer: 6 children chose cats as their favourite pet.
Q2.
This pie chart shows the lunch choices made by the Year 6 children last week. An equal number of children chose pizza, pasta and fish. How many degrees is the sector for pizza?
An image in a quiz
Correct answer: 60°
120°
72°
Q3.
The pie chart represents the number of children from different year groups in Art class. What percentage of children were from Year 5? %
An image in a quiz
Correct Answer: 4
Q4.
The pie chart shows the hobbies of 48 children. An equal number chose jogging, cinema and art. 2 more children preferred reading to cycling. Match the activity to the correct number of children.
An image in a quiz
Correct Answer:Cinema,8
tick

8

Correct Answer:Cycling,11
tick

11

Correct Answer:Reading,13
tick

13

Q5.
The pie chart represents the travel of 60 Year 5 children last week. How many children walked to school?
An image in a quiz
Correct Answer: 21
Q6.
The pie chart represents the favourite fruit of the 120 children in Key Stage 1 at Oak Academy. 10% more children chose cherries than chose pears. What percentage of children chose cherries? %
An image in a quiz
Correct Answer: 20

6 Questions

Q1.
Izzy goes pond dipping and collects 36 creatures. She draws a pie chart to show her data. How many degrees will the sector to show the tadpoles be? °
An image in a quiz
Correct Answer: 90
Q2.
Jun draws a pie chart to represent the 18 creatures he found while pond-dipping. The sector to represent the water boatmen measures 40°. How many did he find?
Correct Answer: 2, two
Q3.
Jacob goes pond dipping and only finds 9 creatures. He draws a pie chart. How many degrees are needed for a sector to show 5 creatures? °
Correct Answer: 200
Q4.
Over a week of birdwatching, Jacob spots 18 birds and represents the data as a pie chart. He sees 6 sparrows. How many degrees will the sector for this be? °
Correct Answer: 120
Q5.
Jun notices that $${1} \over {5}$$ of the whole amount of creatures he collected in a pond dip are water snails. How many degrees would be needed to represent this on his pie chart? °
Correct Answer: 72
Q6.
Izzy counts 50 different minibeasts at the park. 5 of them were woodlice. How many degrees would she need to represent this on a pie chart? °
Correct Answer: 36