Choose exam board for KS4 Computer Science (GCSE)
Choose exam board for KS4 English
Choose exam board for KS4 French
Choose exam board for KS4 Geography
Choose exam board for KS4 German
Choose exam board for KS4 History
Choose tier for KS4 Maths
Choose exam board for KS4 Music
Choose exam board for KS4 Physical education (GCSE)
Choose exam board for KS4 Religious education (GCSE)
Choose exam board for KS4 Spanish

      Lesson details

      Learning outcome

      I can manipulate percentages of an amount without a representation.

      Key learning points

      1. Percent relates to the number of parts per hundred.
      2. Percentages can be written as a fraction out of 100.
      3. The equivalence of fractions, decimals and percentages can be used to solve problems.
      4. Percentages of amounts can be calculated by using known fractions.

      Keywords

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

      Common misconception

      When finding 10% we divide by 10, so when finding 5% we divide by 5.

      Use a bar model to show the division of 10 means one tenth of the amount. When dividing by 5 it means one fifth has been found.

      Teacher tip

      Ask pupils to use MWB and draw a spider diagram showing as many percentages of ANY amount they choose e.g 240 and they show 10% = 24, 5%=12, etc. Asking them to remove the central number (100%) and their peers must work out the original amount.

      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

      Loading...

      Prior knowledge starter quiz

      6 Questions

      Q1.
      Two fractions are __________ if they have the same value.

      Correct answer: equivalent
      improper
      mixed
      proper

      Q2.
      10% of 600 is .

      Correct Answer: 60, sixty

      Q3.
      10% of 870 is .

      Correct Answer: 87, eighty seven, eighty-seven

      Q4.
      5% of 400 is .

      Correct Answer: 20, twenty

      Q5.
      5% of 940 is .

      Correct Answer: 47, forty seven, forty-seven

      Q6.
      Match each percentage calculation to its answer.

      Correct Answer:10% of 50,5
      Correct Answer:10% of 80,8
      Correct Answer:5% of 50,2.5
      Correct Answer:15% of 50,7.5
      Correct Answer:15% of 60,9
      Correct Answer:5% of 60,3

      6 Questions

      Q1.
      Percent comes from the Latin phrase “per centum” meaning “by the __________ .”

      ten
      fifty
      Correct answer: hundred
      thousand
      million

      Q2.
      The percentage of this grid that is shaded is %.

      An image in a quiz
      Correct Answer: 32, 32%, 32 %

      Q3.
      What fraction of this grid is shaded? Select your answer in its simplified form.

      An image in a quiz
      $$ {{32} \over {100}}$$ 
      $$ {{16} \over {100}}$$ 
      $$ {{16} \over {50}}$$ 
      Correct answer: $$ {{8} \over {25}}$$ 

      Q4.
      Match each percentage question with the calculation needed to work it out.

      Correct Answer:Work out 40% of 800,800 ÷ 10 × 4
      Correct Answer:Work out 50% of 800,800 ÷ 2
      Correct Answer:Work out 15% of 800,80 + 40
      Correct Answer:Work out 30% of 800,800 ÷ 10 × 3
      Correct Answer:Work out 25% of 800,800 ÷ 4
      Correct Answer:Work out 99% of 800,800 − 8

      Q5.
      Which of the following are valid calculations to work out 55% of 400?

      400 ÷ 10 × 5 + 40
      Correct answer: 400 ÷ 20 × 11
      Correct answer: 400 ÷ 10 × 5 + 20
      Correct answer: 400 ÷ 2 + 20
      400 ÷ 55 × 100

      Q6.
      35% of 24 is .

      Correct Answer: 8.4

      To help you plan your 8 maths lesson on: Checking understanding of percentages, download all teaching resources for free and adapt to suit your pupils' needs...