Year 6 Proportion and ratio worksheets

Free worksheets

Solving proportion puzzles with bar modelling worksheet
Bar models can help us visualise a problem and work out what operation we need to use to find a missing number. The key to bar models is to label the model with the information you know and the number you are trying to find (which is normally shown with a question mark). Can you use bar models to answer these questions?

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Solving proportion puzzles
To solve these proportion problems you need to be able to find fractions and percentages of amounts and compare fractions, decimals and percentages. Once you’ve solved the problems, challenge a parent or friend by writing some of your own!

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Working with scale factors worksheet
Can you solve these scale factor problems?

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Solving scale factor problems worksheet
Can you solve these scale factor problems?

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Scale factor problems worksheet
We use scale factor to talk about the numbers a shape has been multiplied by to make a new shape in proportion with the original. Can you answer these scale factor questions?

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Looking at scale factors worksheet
We use scale factor when we talk about increasing the size of a 2D shape. The size by which we make the shape larger is described by its scale factor. Can you solve these scale factor problems?

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Ratio problem-solving worksheet
You’re going to need your ratio skills to build a fantastically colourful new house.

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Ratio potion problems worksheet
We want to mix some evil potions but we have to be sure to get the ratio of ingredients right. Can you help?

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Recognise equivalent proportions worksheet
If the equivalence is correct, use the “correct” letter in the riddle below; if it is incorrect use the “incorrect” letter.

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Ratio investigation worksheet
Cut out your red circles (these will act as counters). One side is red, the other side is white. How many different ratios can you show with these counters? Now flip the counters to find more ratios. When you’ve finished… How many did you find?

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Proportion dominoes
Cut out these dominoes cards and see if you can match them up. Be careful, some proportions might be simplified (for example, 2/3 blue could mean 4 blue out of 6 altogether).

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Reducing ratios to their lowest terms
To reduce a ratio to its simplest form, you need to find a factor that you could divide both numbers by. Simplify these ratios by dividing both numbers by the same factor.

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Fractions, percentages and ratio problems worksheet
Can you work out these tricky fractions, percentages and ratio problems? Ready, set...

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Solving proportion problems worksheet
This recipe is for a fish pie that feeds four people. Sue needs to make the fish pie to feed six people. How much will she need of each ingredient? You can use a calculator for this problem.

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Ratio problems worksheet
Ratio shows us the relationship between two numbers or quantities. Can you solve these ratio problems? Use some coloured counters to help with these problems if you need to.

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Proportion problems worksheet
One in every three of these cupcakes is made with vanilla. Two in every three are made with chocolate. Can you solve these proportion problems? Use coloured counters if you get stuck with these problems.

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Cool Maths Games for kids learning pack
Add an extra learning dimension to family game time – try one of our Cool Maths board games and help reinforce your child's knowledge of number bonds, percentages and fractions while you play. Compiled by deputy headteacher Matt Revill and packed with 20 games, this maths learning pack covers all the key skills your child will need to master as part of the primary numeracy curriculum.

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Calculating ratios worksheet
This worksheet describes how to work out ratio problems. It then gives various examples of real-life problems.
Understanding ratios worksheet
This worksheet gives word problems involving ratio for children to work out using the method explained.

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Solving problems ratio and proportion worksheet
Use these word problems to help your child practise ratio and proportion. Answers included at the bottom of the sheet.

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