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

I can use angles, fractions and percentages to interpret pie charts.

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Year 6

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

I can use angles, fractions and percentages to interpret pie charts.

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Lesson details

Key learning points

A pie chart is a way of presenting data representing parts of a whole.
Pie charts can be interpreted using knowledge of angles.
Pie charts can be interpreted using knowledge of fractions and percentages.

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 converting an angle of a sector into a percentage.

Choose to work with angles that can easily be converted into percentages (e.g. 72° is equal to 20% of the whole chart). You could have these readily available in the classroom as part of a display to refer to throughout the lesson.

Pupils need to be familiar with measuring angles and be confident interpreting and using fractions and percentages prior to starting this lesson. Within the lesson, children briefly explore the terms radius, diameter and circumference. These terms can be used to describe parts of the chart.

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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).

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Prior knowledge starter quiz

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6 Questions

Q1.
There were some minibeasts in the garden. Half of them were ants and one quarter of them were ladybirds. There were 12 ants. How many ladybirds were there?

Correct Answer: 6, six

Q2.
Izzy has 48 stickers. She sticks 12 stickers in her book. What percentage of the stickers are not stuck in the book? %

Correct Answer: 75

Q3.
A cake is cut into pieces. Jun eats 50%, Izzy eats 12% and Jacob eats twice as much as Izzy. What percentage of the cake is left? %

Correct Answer: 14

Q4.
In a farmyard, $${1} \over {2}$$ the animals were cows, $${1} \over {4}$$ were sheep and the rest were an equal number of pigs and horses. There were 6 pigs. How many animals were in the farmyard?

Correct Answer: 48

Q5.
A necklace uses 36 beads in 4 colours. Half the beads are red, $${1} \over {4}$$ are blue and the rest are either green or yellow. There is one more green than yellow. How many green beads?

Correct Answer: 5

Q6.
60 Year 6 children were choosing Leavers’ Hoodies. 20% chose a red hoodie, 25% chose a blue hoodie and the rest chose a grey hoodie. Which of the following statements are true?

Correct answer: 12 children chose a red hoodie.

25 children chose a blue hoodie.

Correct answer: 33 children chose a grey hoodie.

Assessment exit quiz

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6 Questions

Q1.
Here is a pie chart. 16 children chose dogs as their favourite pet. How many children chose cats? children

Correct Answer: 8

Q2.
In the pie chart, the number of children that chose bowls and rugby is the same. 3 children chose rugby. How many children does the whole pie chart represent?

Correct answer: 24

Q3.
Izzy is using a protractor to draw a pie chart to show that one-third of Year 6 children walk to school. How many degrees will that sector measure on the pie chart?

72°

Correct answer: 120°

60°

Q4.
This pie chart shows the ways in which children in Year 6 at Oak Primary School travelled to school last week. What percentage of children travelled by bike? %

Correct Answer: 43

Q5.
There are 300 children at Oak Academy. This pie chart shows how the Key Stage 2 children travelled to school last week. Match the correct number of children to the method of travel.

Correct Answer:Walk,75

Correct Answer:Car,96

Correct Answer:Bike,129

Q6.
The pie chart shows the lunches chosen by 180 children at Oak Primary School. Twice as many children chose pizza as chose fish. How many children chose fish? children.

Correct Answer: 15

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UnitMaths / Statistics

Maths

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

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

Lesson slides

Lesson details

Key learning points

Keywords

Common misconception

Licence

Lesson video

Worksheet

Prior knowledge starter quiz

6 Questions

Q1.There were some minibeasts in the garden. Half of them were ants and one quarter of them were ladybirds. There were 12 ants. How many ladybirds were there?

Q2.Izzy has 48 stickers. She sticks 12 stickers in her book. What percentage of the stickers are not stuck in the book? %

Q3.A cake is cut into pieces. Jun eats 50%, Izzy eats 12% and Jacob eats twice as much as Izzy. What percentage of the cake is left? %

Q4.In a farmyard, $${1} \over {2}$$ the animals were cows, $${1} \over {4}$$ were sheep and the rest were an equal number of pigs and horses. There were 6 pigs. How many animals were in the farmyard?

Q5.A necklace uses 36 beads in 4 colours. Half the beads are red, $${1} \over {4}$$ are blue and the rest are either green or yellow. There is one more green than yellow. How many green beads?

Q6.60 Year 6 children were choosing Leavers’ Hoodies. 20% chose a red hoodie, 25% chose a blue hoodie and the rest chose a grey hoodie. Which of the following statements are true?

Assessment exit quiz

6 Questions

Q1.Here is a pie chart. 16 children chose dogs as their favourite pet. How many children chose cats? children

Q2.In the pie chart, the number of children that chose bowls and rugby is the same. 3 children chose rugby. How many children does the whole pie chart represent?

Q3.Izzy is using a protractor to draw a pie chart to show that one-third of Year 6 children walk to school. How many degrees will that sector measure on the pie chart?

Q4.This pie chart shows the ways in which children in Year 6 at Oak Primary School travelled to school last week. What percentage of children travelled by bike? %

Q5.There are 300 children at Oak Academy. This pie chart shows how the Key Stage 2 children travelled to school last week. Match the correct number of children to the method of travel.

Q6.The pie chart shows the lunches chosen by 180 children at Oak Primary School. Twice as many children chose pizza as chose fish. How many children chose fish? children.

Lesson appears in

UnitMaths / Statistics

Maths

Q1.
There were some minibeasts in the garden. Half of them were ants and one quarter of them were ladybirds. There were 12 ants. How many ladybirds were there?

Q2.
Izzy has 48 stickers. She sticks 12 stickers in her book. What percentage of the stickers are not stuck in the book? %

Q3.
A cake is cut into pieces. Jun eats 50%, Izzy eats 12% and Jacob eats twice as much as Izzy. What percentage of the cake is left? %

Q4.
In a farmyard, $${1} \over {2}$$ the animals were cows, $${1} \over {4}$$ were sheep and the rest were an equal number of pigs and horses. There were 6 pigs. How many animals were in the farmyard?

Q5.
A necklace uses 36 beads in 4 colours. Half the beads are red, $${1} \over {4}$$ are blue and the rest are either green or yellow. There is one more green than yellow. How many green beads?

Q6.
60 Year 6 children were choosing Leavers’ Hoodies. 20% chose a red hoodie, 25% chose a blue hoodie and the rest chose a grey hoodie. Which of the following statements are true?

Q1.
Here is a pie chart. 16 children chose dogs as their favourite pet. How many children chose cats? children

Q2.
In the pie chart, the number of children that chose bowls and rugby is the same. 3 children chose rugby. How many children does the whole pie chart represent?

Q3.
Izzy is using a protractor to draw a pie chart to show that one-third of Year 6 children walk to school. How many degrees will that sector measure on the pie chart?

Q4.
This pie chart shows the ways in which children in Year 6 at Oak Primary School travelled to school last week. What percentage of children travelled by bike? %

Q5.
There are 300 children at Oak Academy. This pie chart shows how the Key Stage 2 children travelled to school last week. Match the correct number of children to the method of travel.

Q6.
The pie chart shows the lunches chosen by 180 children at Oak Primary School. Twice as many children chose pizza as chose fish. How many children chose fish? children.