Year 1: Different ways to make the same amount

Method. Find two coins that add up to the amount. Try the bigger coins first.

1. Try two coins. Pick two coins and add their values.
   5p + 2p
2. Add them up. The total must be the amount we want.
   5p + 2p = 7p
3. Write the answer. No other two coins make this amount.
   5p and 2p

Check. Add them the other way round: 2p + 5p = 7p. ✓

Watch out. The two coins can be the same, like two 10p coins.

Method. Find two coins that add up to the amount. Try the bigger coins first.

1. Try two coins. Pick two coins and add their values.
   10p + 2p
2. Add them up. The total must be the amount we want.
   10p + 2p = 12p
3. Write the answer. No other two coins make this amount.
   10p and 2p

Check. Add them the other way round: 2p + 10p = 12p. ✓

Watch out. The two coins can be the same, like two 10p coins.

Method. Find two coins that add up to the amount. Try the bigger coins first.

1. Try two coins. Pick two coins and add their values.
   10p + 5p
2. Add them up. The total must be the amount we want.
   10p + 5p = 15p
3. Write the answer. No other two coins make this amount.
   10p and 5p

Check. Add them the other way round: 5p + 10p = 15p. ✓

Watch out. The two coins can be the same, like two 10p coins.

Method. Find two coins that add up to the amount. Try the bigger coins first.

1. Try two coins. Pick two coins and add their values.
   10p + 10p
2. Add them up. The total must be the amount we want.
   10p + 10p = 20p
3. Write the answer. No other two coins make this amount.
   10p and 10p

Check. Add them the other way round: 10p + 10p = 20p. ✓

Watch out. The two coins can be the same, like two 10p coins.

Method. Add one coin at a time until you reach 10p.

1. Add one coin at a time. Each coin is worth 5p.
   5p, 10p
2. Count how many coins you added. The number of coins is the number of steps.
   2 coins
3. Write the answer.
   2

Check. Check: 2 × 5p = 10p. ✓

Watch out. Add the same coin each time. Do not add 1 each time.

Method. Add one coin at a time until you reach 10p.

1. Add one coin at a time. Each coin is worth 2p.
   2p, 4p, 6p, 8p, 10p
2. Count how many coins you added. The number of coins is the number of steps.
   5 coins
3. Write the answer.
   5

Check. Check: 5 × 2p = 10p. ✓

Watch out. Add the same coin each time. Do not add 1 each time.

Method. Add one coin at a time until you reach 6p.

1. Add one coin at a time. Each coin is worth 2p.
   2p, 4p, 6p
2. Count how many coins you added. The number of coins is the number of steps.
   3 coins
3. Write the answer.
   3

Check. Check: 3 × 2p = 6p. ✓

Watch out. Add the same coin each time. Do not add 1 each time.

Method. Add up each set. The set that makes 10p is the right one.

1. Add up set A. Add the value of each coin.
   5p + 2p + 2p = 9p
2. Add up set B. Add the value of each coin.
   5p + 5p = 10p
3. Add up set C. Add the value of each coin.
   10p + 2p = 12p
4. Write the answer. Only one set makes 10p.
   B

Check. The other sets do not make 10p, so only set B is right. ✓

Watch out. Add every coin in the set. Do not stop after the first two coins.

Method. Start with the biggest coin, then count on. Say the value of each one as you add it.

1. Start with the biggest coin or note. Starting with the biggest one is quick.
   2p
2. Count on 2p. Add the value of the next coin or note.
   2p + 2p = 4p
3. Count on 2p. Add the value of the next coin or note.
   4p + 2p = 6p
4. Count on 2p. Add the value of the next coin or note.
   6p + 2p = 8p
5. Count on 2p. Add the value of the next coin or note.
   8p + 2p = 10p
6. Write the total.
   10p

Check. Add them in a different order. You still get 10p. ✓

Watch out. Add the values, not the number of coins. Count each coin only once.

Method. Add one coin at a time until you reach 15p.

1. Add one coin at a time. Each coin is worth 5p.
   5p, 10p, 15p
2. Count how many coins you added. The number of coins is the number of steps.
   3 coins
3. Write the answer.
   3

Check. Check: 3 × 5p = 15p. ✓

Watch out. Add the same coin each time. Do not add 1 each time.

Method. There is more than one way. Each set of coins must add up to 6p.

1. Try set 1. Add the coins in the set to check it.
   5p + 1p = 6p
2. Try set 2. Add the coins in the set to check it.
   2p + 2p + 2p = 6p
3. Write the answer. Any set that adds up to the amount is correct.
   5p + 1p or 2p + 2p + 2p

Check. Add the coins in each set again. Each one makes 6p. ✓

Watch out. Check the total of every set. A set that adds up to a different amount is wrong.

Method. There is more than one way. Each set of coins must add up to 16p.

1. Try set 1. Add the coins in the set to check it.
   10p + 5p + 1p = 16p
2. Write the answer. Any set that adds up to the amount is correct.
   10p + 5p + 1p

Check. Add the coins in each set again. Each one makes 16p. ✓

Watch out. Check the total of every set. A set that adds up to a different amount is wrong.

Method. Use the biggest coin you can first. Then make the rest with as few coins as you can.

1. Start with the biggest coin that fits: 5p. A bigger coin means fewer coins.
   5p
2. The rest is 4p. Find coins that make the rest.
   9p − 5p = 4p
3. Write the coins. That is 3 coins altogether, the fewest possible.
   5p, 2p and 2p (3 coins)

Check. Add them up: 5p + 2p + 2p = 9p. ✓

Watch out. A 10p coin is too big for 9p, so it cannot be used. Use the biggest coin that fits.