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Year 6

Use knowledge of calculating any percentage of a number to solve problems in a range of contexts

I can calculate any percentage of a number and solve problems in a range of contexts.

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New

Year 6

Use knowledge of calculating any percentage of a number to solve problems in a range of contexts

I can calculate any percentage of a number and solve problems in a range of contexts.

Download all resources

Share activities with pupils

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Lesson details

Key learning points

If I know 10% of a number, I can halve it to find 5%
If I know 10% and 5% of a number, I can add them to find 15%
Addition, subtraction, multiplication and division can be used to calculate a new percentage from known percentages.

Keywords

Percentage - A percentage is a proportion of a whole.

Common misconception

Pupils may confuse the numbers given and the percentages of them when calculating.

In the lesson, calculating with the numbers given (from 3 to 90) and the percentages of them (e.g. 1% to 30%) is often dealt with separately, looking at individual columns in a table. Columns can be covered when calculating to help focus attention.

To access this lesson, pupils need to be familiar with working out 50%, 10% and 1% of a number. Encourage them to discuss and estimate percentages in aspects of everyday life. Pie charts are introduced in this lesson, although pupils are not expected to interpret the data in them.

Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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Starter quiz

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6 Questions

Q1.

Find 10% of these numbers.

Correct Answer:10% of 180,18

Correct Answer:10% of 450,45

Correct Answer:10% of 130,130

130

Correct Answer:10% of 3,000,300

300

Correct Answer:10% of 130,13

Q2.

Find 25% of these numbers.

Correct Answer:25% of 120,30

Correct Answer:25% of 104,26

Correct Answer:25% of 300,75

Correct Answer:25% of 1,200,300

300

Correct Answer:25% of 1,000,250

250

Q3.

Find 75% of these numbers.

Correct Answer:75% of 120,90

Correct Answer:75% of 400,300

300

Correct Answer:75% of 1,000,750

750

Correct Answer:75% of 600,450

450

Correct Answer:75% of 1,500,1,125

1,125

Q4.

What number is 1% of 150?

Correct Answer: 1.5

Q5.

Use this fact to calculate other percentages. 100% is 160 km

Correct Answer:50% of 160 km,80 km

80 km

Correct Answer:10% of 160 km,16 km

16 km

Correct Answer:40% of 160 km,64 km

64 km

Correct Answer:5% of 160 km,8 km

8 km

Correct Answer:1% of 160 km,1.6 km

1.6 km

Q6.

If 100% is 450 km, use an efficient method to find 60% of 450 km km

Correct Answer: 270

Exit quiz

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6 Questions

Q1.

How can you find the percentages of different numbers?

Correct Answer:10%,Divide by 10

Divide by 10

Correct Answer:25%,Divide by 4

Divide by 4

Correct Answer:1%,Divide by 100

Divide by 100

Correct Answer:75%,Add 50% and 25% together

Add 50% and 25% together

Correct Answer:5%,Halve 10%

Halve 10%

Q2.

If 100% is £400, find these percentages.

Correct Answer:50% of £400,£200

£200

Correct Answer:10% of £400,£40

£40

Correct Answer:1% of £400,£4

£4

Correct Answer:25% of £400,£100

£100

Correct Answer:75% of £400,£300

£300

Q3.

Lucas needs to find the number of children who cycled to school. Look at the pie chart and complete each step of the table to calculate 21% of 300 children