New
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Lesson 1 of 10
  • Year 10
  • Foundation

Checking and securing understanding of finding a percentage

I can describe one number as a percentage of another and calculate a given percentage of an amount efficiently.

Lesson 1 of 10
New
New
  • Year 10
  • Foundation

Checking and securing understanding of finding a percentage

I can describe one number as a percentage of another and calculate a given percentage of an amount efficiently.

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Lesson details

Key learning points

  1. Percentages can be written as a fraction out of 100
  2. One number can be written as a fraction of another.
  3. Representations can support the finding a percentage of a quantity.
  4. A percentage can be written as a decimal called a multiplier.
  5. This multiplier can be used to find a percentage of an amount.

Keywords

  • Equivalent fractions - Two fractions are equivalent if they have the same value.

Common misconception

A single digit percentage is incorrectly worked out by dividing by 10 and not 100 e.g 3% = 0.3

Two responses can be used to remind students that to covert a percentage into a decimal; we divide by 100; using 3%, ask what 30% is as a decimal and 3% as a decimal. Pupils realise they cannot be the same. A place value chart also helps.


To help you plan your year 10 maths lesson on: Checking and securing understanding of finding a percentage, download all teaching resources for free and adapt to suit your pupils' needs...

Using a multiplier is a more effective way to calculate a percentage of an amount. Can they write the calculation to work out 35% of 23% of 11% of 140? Alternatively, can they write a question for the calculation 0.62 x 0.78 x 0.56 x 950?
Teacher tip

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

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Prior knowledge starter quiz

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6 Questions

Q1.
Find 10% of 26

Correct Answer: 2.6

Q2.
Find 50% of 48

Correct Answer: 24

Q3.
Find 20% of 45

Correct Answer: 9

Q4.
Find 1% of 60

Correct Answer: 0.6

Q5.
If £4 is 20% of what I have, how much do I have overall?

Correct Answer: £20, 20

Q6.
If £5 is 2% of the money I have, how much money do I have altogether?

Correct Answer: 250, £250

Assessment exit quiz

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6 Questions

Q1.
Write 42 as a percentage of 200

Correct Answer: 21, 21%

Q2.
Write 90 as a percentage of 225

Correct Answer: 40, 40%

Q3.
Write 312 as a percentage of 120

Correct Answer: 260, 260%

Q4.
Find 24% of 70

Correct Answer: 16.8

Q5.
Find 14% of 125

Correct Answer: 17.5

Q6.
Find 45% of 210

Correct Answer: 94.5