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Finding a Fraction of an Amount KS2 Differentiated Worksheets

Updated on April 10, 2013

Finding the fraction of an amount worksheets

Prior learning:

Children can find the fraction of an amount by dividing the amount by the denominator and then multiplying the answer by the numerator. As a teacher I have found that this is best taught visually to start and then linked to the written method to help develop understanding. (It also support lower ability who can carry on working out the fraction of amounts visually.)

I taught this by first of all modelling the concept visually on the board, while verbalising the method used. This helped children to grasp the concept and start to gain an understanding of the method used to find the answer.

Once children had grasped the idea I then presented a range of simple fraction of amounts for them to solve.

E.g.

¼ of 12

I did this visually by sharing the 12 pieces of pizza I had drawn on the white board onto 4 plates. Repeating the method verbally to reinforce understanding. I then pointed to the numerator and stated that I wanted to know how much was on one plate. Therefore my answer is 3.

Once complete I then did the same sum as a number sentence next to my drawing. This was repeated several times.

I then presented children with a range of fraction of amount problems where the numerator is greater than 1 and repeated the demonstration on the whiteboard to find 2/4 of 12.

Once children are secure with this then you may like to copy and paste the differentiated question below to help secure their understanding and use it to solve word problems.

Lower ability questions:

  1. Laura decides to share her sweets with her best friend Salma. There are 24 sweets in total and they each get half. How many sweets will Laura have?
  2. Naeem has 36 coloured pencils. He shares them equally between Hashim, Aqib, Habib and himself. Each will get one quarter. How many coloured pencils will Naeem have?
  3. Emily has 25 balloons. She shares them with Hayley and Emma. They each get one third. How many balloons will Emily have?
  4. There are 10 pupils in Mrs Robert’s class. Mrs Roberts has 90 cubes. Each child will get one tenth of the cubes. How many cubes will each child have?
  5. Mrs Black has 24 stickers which she wants to give out for good behaviour. There are 4 children in her group who have behaved really well. Each child will receive one quarter of the stickers. How many stickers will each child receive?

Middle ability questions:

  1. Alberto is making a cake. He has 250 grams of butter. He need to put 1/5 of the butter into the bowl. How many grams of butter does he need to put into the bowl?
  2. Tony has £96. He spends ¼ of his money on computer games. How much money did he spend on the games?
  3. Alison has 60 grams of sweets. She eats 2/12 of the sweets. How many grams has she eaten?
  4. Ibrahim has a brand new car. He drives 150 miles. 1/5 of the way into his journey he stops for petrol. How many miles has Ibrahim done when he stopped for petrol?
  5. Imma has 72 ml of pop. She drinks 2/4 of the bottle. How many ml of pop has she drunk?

Higher ability questions:

  1. Alberto is making a cake. He has 250 grams of butter. He need to put 1/5 of the butter into the bowl. How many grams of butter will he have left over?
  2. Tony has £96. He spends ¼ of his money on computer games. How much money did he spend on games? He then spends 2/4 of the money he has left over on sweets and magazines. How much money does Tony have left in his pocket?
  3. Alison has 60 grams of sweets. She eats 2/12 of the sweets. How many grams of sweets doe she have left? Could she share what she has left equally between her three friends?
  4. Ibrahim has a brand new car. He drives 150 miles. 1/5 of the way into his journey he stops for petrol. How many miles does Ibrahim have left to do after stopping for petrol?
  5. Imma has 72 ml of pop. She drinks 3/6 of the bottle. How many ml of pop has she drunk?

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