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

      Find and make amounts within 20 p

      Lesson details

      Learning outcome

      I can calculate and make given amounts within 20 p.

      Key learning points

      1. A combination of different coins can be used to make the same total value.
      2. It is more efficient to use fewer coins to pay for an item.
      3. Using coins of a greater value where possible will result in fewer coins being used.
      4. With prices between 10 p and 20 p, partitioning the price into '10 and a bit' allows more efficient working.

      Keywords

      • Total value - Where referring to money, value refers to how much something is worth. The total value can be found by adding the value of each coin in a set.

      • Efficiently - Not wasting time or effort. An efficient strategy is one we can carry out easily.

      Common misconception

      Children may start counting out using any coins available instead of thinking of the whole amount needed first and partitioning it into manageable parts where they can deploy known strategies.

      Encourage children to partition teen numbers using a part-part-whole model and use what they know about making 10, and the numbers up to 10, to find combinations that use the fewest possible coins to total a given value.

      Teacher tip

      This lesson brings together knowledge from many units, including the composition of number. Explore these ideas practically, manipulating coins within known part-part-whole models to help children connect these ideas with existing knowledge and understanding.

      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.
      What is the total value of these coins? p

      An image in a quiz
      Correct Answer: 9, 9 p

      Q2.
      Which set of coins could you use to pay for the teddy?

      An image in a quiz
      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz

      Q3.
      What is the total value of this set of coins? p

      An image in a quiz
      Correct Answer: 8, 8 p, 8p

      Q4.
      Which coins show a total of 10 p?

      Correct Answer: An image in a quiz
      An image in a quiz
      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz

      Q5.
      Aisha wants to pay for a toy costing 9 p in the most efficient way. Which set of coins should she choose?

      Correct Answer: An image in a quiz
      An image in a quiz
      An image in a quiz
      An image in a quiz

      Q6.
      Alex has some coins which have a total value of 7 p. One of his coins is a 5 p coin. Which other coin does he need?

      An image in a quiz
      5 p coin
      1 p coin
      Correct answer: 2 p coin

      6 Questions

      Q1.
      Which coins show the most efficient way to make 12 p?

      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz
      An image in a quiz

      Q2.
      Which coins show the most efficient way to make 12 p without using a 10 p coin?

      Correct Answer: An image in a quiz
      An image in a quiz
      An image in a quiz
      An image in a quiz

      Q3.
      Which totals can be made using these coins? (You only have one of each.)

      An image in a quiz
      11 p
      Correct answer: 12 p
      14 p
      Correct answer: 15 p

      Q4.
      Which item can Alex buy using only two coins?

      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz
      An image in a quiz

      Q5.
      True or false. The most efficient way to make 15 p is by using three 5 p coins.

      True
      Correct answer: False

      Q6.
      Which coins show a total value of 20 p?

      Correct Answer: An image in a quiz
      An image in a quiz
      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz

      To help you plan your 1 maths lesson on: Find and make amounts within 20 p, download all teaching resources for free and adapt to suit your pupils' needs...