Year 6 Proportion and ratio worksheets
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?
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!
Can you solve these scale factor problems?
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?
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?
You’re going to need your ratio skills to build a fantastically colourful new house.
We want to mix some evil potions but we have to be sure to get the ratio of ingredients right. Can you help?
If the equivalence is correct, use the “correct” letter in the riddle below; if it is incorrect use the “incorrect” letter.
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?
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).
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.
Can you work out these tricky fractions, percentages and ratio problems? Ready, set...
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.
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.
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.
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.
This worksheet describes how to work out ratio problems. It then gives various examples of real-life problems.
This worksheet gives word problems involving ratio for children to work out using the method explained.