Real Life Proportion Problems for 11 Plus Practice
19 October 2026
Understanding proportion in daily life
Proportion means comparing parts to each other or to a whole. In 11+ Maths, proportion questions often use real world situations, making it important for children to spot and work with these relationships.
Why proportion matters for 11+ Maths
Proportional reasoning helps children solve problems about recipes, paint mixes, sharing bills, or reading maps. These questions check if your child can scale up or down while keeping things in balance.
Common real life proportion problems
Examples include doubling a recipe, working out how much paint is needed in a certain colour mix, or splitting the cost of a present between friends. In each case, the key is to identify what is being compared and how the amounts relate.
Step-by-step approach for parents
Encourage your child to first find the ratio in the question. Next, ask them to work out the scale factor. How many times bigger or smaller the new quantity is. Then, use this scale factor to find the unknown amount. For example, if squash is mixed in a 1:4 ratio and you have 200 ml of squash, multiply 4 by 200 to find the amount of water needed.
Key insight: Proportion questions are rarely labelled
In real life, proportion problems often appear in disguise. Encourage your child to look out for words like 'for every', 'per', or 'shared between' as clues that a proportion needs to be found and used.
Practical ways to practise at home
Try scaling recipes, mixing drinks, or sharing snacks. Talk through the steps together. If a recipe serves four but you want to serve eight, ask your child to double each ingredient. This builds confidence in using proportion outside the classroom.
