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

Starter quiz

Find 10% of these numbers.

10% of 180

⇔

18 ✓

10% of 450

⇔

45 ✓

10% of 130

⇔

130 ✓

10% of 3,000

⇔

300 ✓

10% of 130

⇔

13 ✓
Find 25% of these numbers.

25% of 120

⇔

30 ✓

25% of 104

⇔

26 ✓

25% of 300

⇔

75 ✓

25% of 1,200

⇔

300 ✓

25% of 1,000

⇔

250 ✓
Find 75% of these numbers.

75% of 120

⇔

90 ✓

75% of 400

⇔

300 ✓

75% of 1,000

⇔

750 ✓

75% of 600

⇔

450 ✓

75% of 1,500

⇔

1,125 ✓
What number is 1% of 150? ______

'1.5' ✓
Use this fact to calculate other percentages. 100% is 160 km

50% of 160 km

⇔

80 km ✓

10% of 160 km

⇔

16 km ✓

40% of 160 km

⇔

64 km ✓

5% of 160 km

⇔

8 km ✓

1% of 160 km

⇔

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

'270' ✓

Exit quiz

How can you find the percentages of different numbers?

10%

⇔

Divide by 10 ✓

25%

⇔

Divide by 4 ✓

1%

⇔

Divide by 100 ✓

75%

⇔

Add 50% and 25% together ✓

5%

⇔

Halve 10% ✓
If 100% is £400, find these percentages.

50% of £400

⇔

£200 ✓

10% of £400

⇔

£40 ✓

1% of £400

⇔

£4 ✓

25% of £400

⇔

£100 ✓

75% of £400

⇔

£300 ✓
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 ______

'63' ✓
Aisha’s battery has 69% of 600 minutes left. Complete each step of the table to calculate 69% of 600 minutes. ______ minutes

'414' ✓
Look at the table and find the missing percentage. 10 = ______% of 50

'20' ✓
Use the table to calculate the missing percentage. 125 = ______% of 500

'25' ✓

Worksheet

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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.

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.

Keywords

Percentage - A percentage is a proportion of a whole.