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Step-by-step practice: Maths · Level 2Chapter 8 · Money
Step-by-step Maths Level 2 · Money · Lesson 8.4

Step-by-step Maths Level 2: Different ways to make the same amount

Part of the Step-by-step Maths Level 2 money chapter. Chapter overview · whole chapter on one page

8.4

Different ways to make the same amount

Level 2
Find two or more ways to make the same amount

The same amount can be made from different coins.

For example, 10p can be made from one 10p coin, or from two 5p coins, or from five 2p coins.

10p
One 10p coin.
5p5p
Two 5p coins. Both make 10p.

Key ideas

  • Different coins can make the same amount.
  • Check that each way adds up to the amount.
  • Use different coins each time.
Worked example 8.4.1
Show two different ways to make 20p with coins.

Method. Use different coins each time. Check that each way adds up to the total.

  1. Start with the biggest coin that fits. Big coins make fewer coins.
    20p = 20p
  2. Find a different way. Use other coins that still make the total.
    10p + 10p = 20p
  3. Write the two ways. Both ways make the same amount.
    Accept any two different ways, such as 20p or 10p + 10p

Check. Add each set of coins to check: both make 20p.

Watch out. The coins must be different, not just the same coins in a different order.

Worked example 8.4.2
How many 2p coins make 10p?

Method. Count how many 2p are in 10p. Divide the total by the coin.

  1. Look at one 2p coin. Each coin is 2p.
    2p
  2. Count the coins needed. Add 2p again until you reach 10p.
    10 / 2 = 5
  3. Write the answer.
    5

Check. 5 x 2 = 10. It works.

Watch out. Count the coins in steps of the coin value, for example 2, 4, 6, 8, 10.

Worked example 8.4.3
Show two different ways to make 10p with coins.

Method. Use different coins each time. Check that each way adds up to the total.

  1. Start with the biggest coin that fits. Big coins make fewer coins.
    10p = 10p
  2. Find a different way. Use other coins that still make the total.
    5p + 5p = 10p
  3. Write the two ways. Both ways make the same amount.
    Accept any two different ways, such as 10p or 5p + 5p

Check. Add each set of coins to check: both make 10p.

Watch out. The coins must be different, not just the same coins in a different order.

Watch out

Watch out. 5p + 2p + 2p + 1p and 2p + 5p + 1p + 2p use the same coins, so they are one way. Write each way once.

Exam tip

Grown-up tip. Ask: “Can you make 20p another way?” Use real coins to try ideas.

Exercise 8D  Practice: ways to make an amount

Non-calculator
1
PSShow two different ways to make 12p with coins.
2
PSShow two different ways to make 10p with coins.
3
FHow many 10p coins make 50p?
4
PSShow two different ways to make 15p with coins.
5
FHow many 5p coins make 30p?
6
FHow many 1p coins make 6p?
7
FHow many 5p coins make 45p?
8
FHow many 1p coins make 3p?
9
FHow many 10p coins make 20p?
10
FHow many 5p coins make 40p?
11
PSShow two different ways to make 20p with coins.
12
PSShow two different ways to make 5p with coins.
13
FHow many 5p coins make 35p?
14
FHow many 5p coins make 15p?
15
FHow many 5p coins make 20p?
16
FHow many 2p coins make 20p?

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