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
Different 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.
Key ideas
- Different coins can make the same amount.
- Check that each way adds up to the amount.
- Use different coins each time.
Method. Use different coins each time. Check that each way adds up to the total.
- Start with the biggest coin that fits. Big coins make fewer coins.20p = 20p
- Find a different way. Use other coins that still make the total.10p + 10p = 20p
- 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.
Method. Count how many 2p are in 10p. Divide the total by the coin.
- Look at one 2p coin. Each coin is 2p.2p
- Count the coins needed. Add 2p again until you reach 10p.10 / 2 = 5
- 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.
Method. Use different coins each time. Check that each way adds up to the total.
- Start with the biggest coin that fits. Big coins make fewer coins.10p = 10p
- Find a different way. Use other coins that still make the total.5p + 5p = 10p
- 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-calculatorMethod. Use different coins each time. Check that each way adds up to the total.
- Start with the biggest coin that fits. Big coins make fewer coins.10p + 2p = 12p
- Find a different way. Use other coins that still make the total.10p + 1p + 1p = 12p
- Write the two ways. Both ways make the same amount.Accept any two different ways, such as 10p + 2p or 10p + 1p + 1p
Check. Add each set of coins to check: both make 12p.
Watch out. The coins must be different, not just the same coins in a different order.
Method. Use different coins each time. Check that each way adds up to the total.
- Start with the biggest coin that fits. Big coins make fewer coins.10p = 10p
- Find a different way. Use other coins that still make the total.5p + 5p = 10p
- 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.
Method. Count how many 10p are in 50p. Divide the total by the coin.
- Look at one 10p coin. Each coin is 10p.10p
- Count the coins needed. Add 10p again until you reach 50p.50 / 10 = 5
- Write the answer. 5
Check. 5 x 10 = 50. It works.
Watch out. Count the coins in steps of the coin value, for example 2, 4, 6, 8, 10.
Method. Use different coins each time. Check that each way adds up to the total.
- Start with the biggest coin that fits. Big coins make fewer coins.10p + 5p = 15p
- Find a different way. Use other coins that still make the total.10p + 2p + 2p + 1p = 15p
- Write the two ways. Both ways make the same amount.Accept any two different ways, such as 10p + 5p or 10p + 2p + 2p + 1p
Check. Add each set of coins to check: both make 15p.
Watch out. The coins must be different, not just the same coins in a different order.
Method. Count how many 5p are in 30p. Divide the total by the coin.
- Look at one 5p coin. Each coin is 5p.5p
- Count the coins needed. Add 5p again until you reach 30p.30 / 5 = 6
- Write the answer. 6
Check. 6 x 5 = 30. It works.
Watch out. Count the coins in steps of the coin value, for example 2, 4, 6, 8, 10.
Method. Count how many 1p are in 6p. Divide the total by the coin.
- Look at one 1p coin. Each coin is 1p.1p
- Count the coins needed. Add 1p again until you reach 6p.6 / 1 = 6
- Write the answer. 6
Check. 6 x 1 = 6. It works.
Watch out. Count the coins in steps of the coin value, for example 2, 4, 6, 8, 10.
Method. Count how many 5p are in 45p. Divide the total by the coin.
- Look at one 5p coin. Each coin is 5p.5p
- Count the coins needed. Add 5p again until you reach 45p.45 / 5 = 9
- Write the answer. 9
Check. 9 x 5 = 45. It works.
Watch out. Count the coins in steps of the coin value, for example 2, 4, 6, 8, 10.
Method. Count how many 1p are in 3p. Divide the total by the coin.
- Look at one 1p coin. Each coin is 1p.1p
- Count the coins needed. Add 1p again until you reach 3p.3 / 1 = 3
- Write the answer. 3
Check. 3 x 1 = 3. It works.
Watch out. Count the coins in steps of the coin value, for example 2, 4, 6, 8, 10.
Method. Count how many 10p are in 20p. Divide the total by the coin.
- Look at one 10p coin. Each coin is 10p.10p
- Count the coins needed. Add 10p again until you reach 20p.20 / 10 = 2
- Write the answer. 2
Check. 2 x 10 = 20. It works.
Watch out. Count the coins in steps of the coin value, for example 2, 4, 6, 8, 10.
Method. Count how many 5p are in 40p. Divide the total by the coin.
- Look at one 5p coin. Each coin is 5p.5p
- Count the coins needed. Add 5p again until you reach 40p.40 / 5 = 8
- Write the answer. 8
Check. 8 x 5 = 40. It works.
Watch out. Count the coins in steps of the coin value, for example 2, 4, 6, 8, 10.
Method. Use different coins each time. Check that each way adds up to the total.
- Start with the biggest coin that fits. Big coins make fewer coins.20p = 20p
- Find a different way. Use other coins that still make the total.10p + 10p = 20p
- 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.
Method. Use different coins each time. Check that each way adds up to the total.
- Start with the biggest coin that fits. Big coins make fewer coins.5p = 5p
- Find a different way. Use other coins that still make the total.2p + 2p + 1p = 5p
- Write the two ways. Both ways make the same amount.Accept any two different ways, such as 5p or 2p + 2p + 1p
Check. Add each set of coins to check: both make 5p.
Watch out. The coins must be different, not just the same coins in a different order.
Method. Count how many 5p are in 35p. Divide the total by the coin.
- Look at one 5p coin. Each coin is 5p.5p
- Count the coins needed. Add 5p again until you reach 35p.35 / 5 = 7
- Write the answer. 7
Check. 7 x 5 = 35. It works.
Watch out. Count the coins in steps of the coin value, for example 2, 4, 6, 8, 10.
Method. Count how many 5p are in 15p. Divide the total by the coin.
- Look at one 5p coin. Each coin is 5p.5p
- Count the coins needed. Add 5p again until you reach 15p.15 / 5 = 3
- Write the answer. 3
Check. 3 x 5 = 15. It works.
Watch out. Count the coins in steps of the coin value, for example 2, 4, 6, 8, 10.
Method. Count how many 5p are in 20p. Divide the total by the coin.
- Look at one 5p coin. Each coin is 5p.5p
- Count the coins needed. Add 5p again until you reach 20p.20 / 5 = 4
- Write the answer. 4
Check. 4 x 5 = 20. It works.
Watch out. Count the coins in steps of the coin value, for example 2, 4, 6, 8, 10.
Method. Count how many 2p are in 20p. Divide the total by the coin.
- Look at one 2p coin. Each coin is 2p.2p
- Count the coins needed. Add 2p again until you reach 20p.20 / 2 = 10
- Write the answer. 10
Check. 10 x 2 = 20. It works.
Watch out. Count the coins in steps of the coin value, for example 2, 4, 6, 8, 10.