This fractions of amounts worksheet pack from White Rose Maths contains a worksheet that gives a clear example of how to use bar modelling to demonstrate fractions of an amount.
For example, one example shows you how to use bar modelling to find 1/7 of 28 by following these steps:
- Draw a bar and split it into 7 equal sections. The full bar represents 28 because we are finding 1/7 of 28
- Splitting the bar into seven equal sections is the same as calculating what 28 ÷ 7 is so write this calculation alongside the bar model.
- Write the answer to each calculation in each box of the bar model.
- Because we want 1/7 we just need the value of one of the boxes.
- Therefore the answer to 1/7 of 28 = 4.
There’s also a fractions of amounts worksheet for children to fill in. Here, children have to, for example, complete the bar model and calculations to show the answer to 1/6 of 42.
The second fractions of amounts worksheet covers fluency, reasoning and problem-solving. Children need to use a pictorial method to solve each question.
Example questions
- A bag of apples weighs 15kg. Jasmine takes 1/3 of the apples. How much do her apples weigh?
- Dan has a 20p and a 10p. He spends half of his money on a yoyo. How much money does he have left?
- Mo buys a key ring for 16p. His mum gives him a quarter of the money. How much money does he have to pay himself? Draw the coins he might use.
White Rose Maths provides high-quality, research-driven maths resources to support teaching and learning.