Year 2: Different ways to make the same amount

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

1. Add up set A. Add the value of each coin.
   2p + 2p + 2p = 6p
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.
   1p + 5p + 2p = 8p
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. Work out the amount, then decide if the claim is right.

1. Work it out. Add the amounts in pence.
   2p + 2p + 1p + 1p = 6p
2. Compare with what is said. Sam says two 2p coins and two 1p coins make 6p.
   It matches
3. Decide. The four coins make 6p, so Sam is right.
   Yes

Check. Check the sum again: 2p + 2p + 1p + 1p = 6p. ✓

Watch out. Add all the amounts, not just some of them.

Method. Make a list of all the sets. Each set must add up to 4p.

1. Use only the coins we are allowed. We can use only 1p and 2p coins.
   1p and 2p
2. Find every way to make the amount. Each set of coins must add up to the amount.
   2p + 2p ; 2p + 1p + 1p ; 1p + 1p + 1p + 1p
3. Count the different ways. Each different set of coins is one way.
   3 ways
4. Write the answer.
   3

Check. Check each set adds up to 4p. ✓

Watch out. Use the biggest coin first. Then use smaller coins to make the rest.

Method. Make a list of all the sets. Each set must add up to 5p.

1. Use only the coins we are allowed. We can use only 1p and 2p coins.
   1p and 2p
2. Find every way to make the amount. Each set of coins must add up to the amount.
   2p + 2p + 1p ; 2p + 1p + 1p + 1p ; 1p + 1p + 1p + 1p + 1p
3. Count the different ways. Each different set of coins is one way.
   3 ways
4. Write the answer.
   3

Check. Check each set adds up to 5p. ✓

Watch out. Use the biggest coin first. Then use smaller coins to make the rest.

Method. Make a list of all the sets. Each set must add up to 20p.

1. Use only the coins we are allowed. We can use only 5p and 10p coins.
   5p and 10p
2. Find every way to make the amount. Each set of coins must add up to the amount.
   10p + 10p ; 10p + 5p + 5p ; 5p + 5p + 5p + 5p
3. Count the different ways. Each different set of coins is one way.
   3 ways
4. Write the answer.
   3

Check. Check each set adds up to 20p. ✓

Watch out. Use the biggest coin first. Then use smaller coins to make the rest.

Method. Make a list of all the sets. Each set must add up to 3p.

1. Use only the coins we are allowed. We can use only 1p and 2p coins.
   1p and 2p
2. Find every way to make the amount. Each set of coins must add up to the amount.
   2p + 1p ; 1p + 1p + 1p
3. Count the different ways. Each different set of coins is one way.
   2 ways
4. Write the answer.
   2

Check. Check each set adds up to 3p. ✓

Watch out. Use the biggest coin first. Then use smaller coins to make the rest.

Method. Add up each set. The set that makes 50p is the right one.

1. Add up set A. Add the value of each coin.
   20p + 20p + 5p = 45p
2. Add up set B. Add the value of each coin.
   20p + 20p + 10p = 50p
3. Add up set C. Add the value of each coin.
   10p + 10p + 5p = 25p
4. Write the answer. Only one set makes 50p.
   B

Check. The other sets do not make 50p, so only set B is right. ✓

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

Method. List every set of coins that makes 10p. Then count the sets.

1. List the sets. Each set must add up to 10p.
   10 sets in all
2. Compare with what Mei said. Mei said there are 4 ways.
   10 and 4
3. Decide. The number must match what Mei said.
   No

Check. Count the sets again: there are 10 of them. ✓

Watch out. Count each different set of coins once. Do not count the same set twice.

Method. List what 5p coins can make. Then check if 12p is in the list.

1. List the totals. Each coin is 5p, so the totals go up in fives.
   5p, 10p, 15p, 20p
2. Is 12p in the list? Twelve is not a multiple of five.
   12p is not in the list
3. Decide. Lin cannot make 12p with only 5p coins.
   No

Check. Only multiples of 5p can be made. ✓

Watch out. Coins of one value can only make amounts that are multiples of that value.