Understanding proportion problems for 11+ maths
21 October 2026
Understanding proportion problems
Proportion questions are a key part of the 11+ maths syllabus. They help children make sense of how quantities relate to each other in real life, from recipes to sharing costs.
Why proportions matter
Proportions show the relationship between two or more amounts. If one value changes, the other changes in a predictable way. This is essential for solving many everyday problems, such as scaling up a recipe or working out the cost for more items.
Key insight: Proportions are everywhere
Children often encounter proportion problems without realising it. Understanding how to compare and scale amounts builds confidence for both exams and daily life.
Worked example
If 4 pens cost £6, how much do 7 pens cost?
First, find the cost of 1 pen by dividing £6 by 4: £6 ÷ 4 = £1.50 per pen.
Next, multiply the price of 1 pen by 7: £1.50 × 7 = £10.50.
The answer is £10.50 for 7 pens.
Tips for supporting your child
Encourage your child to break down each problem into small steps. Use real-life examples, such as shopping or cooking, to make the concept of proportion more familiar and less intimidating.
Building confidence with practice
Regular practice with different types of proportion problems helps children recognise patterns and apply the right method. Start simple and gradually introduce more challenging questions as their understanding grows.
