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      Finding a percentage with a multiplier

      Lesson details

      Learning outcome

      I can find a percentage of a quantity using a multiplier.

      Key learning points

      1. A double number line can be used to find a percentage of a quantity.
      2. A ratio table can be used to find a percentage of an amount.
      3. A percentage can be written as a decimal called a multiplier.
      4. This multiplier can be used to find a percentage of an amount.

      Keywords

      • Associative law - The associative law states that a repeated application of the operation produces the same result regardless of how pairs of values are grouped. We can group using brackets.

      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.

      Teacher tip

      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?

      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

      6 Questions

      Q1.
      __________, __________, __________ and __________ all represent proportion and you can interchange between them; this means there are lots of different ways to work out a percentage of an amount.

      Money, food, shopping and coins
      Fractions, proper fractions, improper fractions and mixed numbers
      Correct answer: Fractions, decimals, percentages and ratio
      Positive numbers, negative numbers, squares and cubes

      Q2.
      1% is equivalent to the decimal .

      Correct Answer: 0.01

      Q3.
      $$\frac{3}{50}$$ as a percentage is %.

      Correct Answer: 6%, 6 %, 6

      Q4.
      Match each percentage to its decimal equivalent.

      Correct Answer:15%,0.15
      Correct Answer:21%,0.21
      Correct Answer:9%,0.09
      Correct Answer:90%,0.9
      Correct Answer:0.9%,0.009
      Correct Answer:1.5%,0.015

      Q5.
      What percentage of 98 is represented by this calculation: 98 − 9.8?

      1%
      10%
      50%
      Correct answer: 90%
      99%

      Q6.
      51% of 400 is .

      Correct Answer: 204

      6 Questions

      Q1.
      What percentage is equivalent to the decimal 0.01?

      0.01%
      0.1%
      Correct answer: 1%
      10%
      100%

      Q2.
      49% of 740 is .

      Correct Answer: 362.6

      Q3.
      22% of 650 is .

      Correct Answer: 143

      Q4.
      Match each percentage question with the correct calculation.

      Correct Answer:53% of 900,0.53 × 900
      Correct Answer:35% of 900,0.35 × 900
      Correct Answer:2% of 900,0.02 × 900
      Correct Answer:20% of 900,0.2 × 900

      Q5.
      27% of 830 is .

      Correct Answer: 224.1

      Q6.
      The UK government distributed approximately £720 billion to the a number of sectors. How much money does "Transport" receive?

      An image in a quiz
      £14.4 billion
      Correct answer: £28.8 billion
      £93.6 billion
      £144 billion

      To help you plan your 8 maths lesson on: Finding a percentage with a multiplier, download all teaching resources for free and adapt to suit your pupils' needs...