Word Problems with Compound Shapes for 11+ Maths (CEM & GL)
21 October 2026
Understanding compound shape word problems
Many 11+ maths questions ask children to solve word problems involving compound shapes. These shapes are made by joining two or more simple shapes, such as rectangles or squares. The key is to break the shape down into familiar parts.
How to approach these problems
Start by reading the question carefully. Encourage your child to sketch the shape if a diagram is not given. Look for ways to split the compound shape into rectangles, squares or triangles. Find any missing lengths by using the information provided.
Key insight:
Remind your child to label each part of the shape clearly and work out each area or perimeter separately before adding them together. This step-by-step approach helps avoid mistakes and builds confidence.
Worked example
A garden is made up of a rectangle measuring 6 m by 4 m, with a square patio attached on one side measuring 3 m by 3 m. What is the total area of the garden and patio?
Step 1: Find the area of the rectangle. 6 m × 4 m = 24 m².
Step 2: Find the area of the square. 3 m × 3 m = 9 m².
Step 3: Add the two areas together. 24 m² + 9 m² = 33 m².
The total area of the garden and patio is 33 m².
Supporting your child
Practise breaking down shapes together and talk through each step aloud. If your child gets stuck, help them look for any missing measurements and encourage them to double-check their calculations. With regular practice, these problems become much more manageable.
