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Adding money and giving change

Find different combinations of coins that equal the same amount of money

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What a learner can do afterwards

  • Show that 50p can be made with 2×20p + 1×10p, or 5×10p, or 1×50p
  • Systematically find multiple coin combinations for a given total
  • Explain why different coin sets give the same total

The lesson

You already know how to write money using pounds and pence. There is often more than one way to make the same amount using coins. Adding different coins together can still give you the same total.

Try it together

To make 50p, you could use 2×20p and 1×10p, or 5×10p, or just 1×50p. Every one of these adds up to the same 50p.

20p2020p2010p10
10p1010p1010p10
Three 10p coins also make 30p, just like other coin combinations can.
Good to know

To find every way to make an amount, start with the biggest coin that fits, then try swapping it for smaller coins. Write down each way you find, then look for another.

The same amount of money can be made in more than one way using different coins.

Watch it

Where it sits

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

8 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

Adding money and giving change · Mathematics, ages 6 to 7 · LightMySky