11+ Maths: Using Ratio Tables and Bar Models (GL & CEM style)
21 October 2026
Why ratio tables and bar models matter
Ratio tables and bar models are key tools for 11+ maths. They help children break down ratio problems and see the logic behind the numbers. These methods are often used in both GL and CEM style questions, making them valuable skills for exam success.
What is a ratio table
A ratio table is a simple way to organise information about ratios. It shows how the parts in a ratio change as you scale up or down. For example, if the ratio is 3:5, you can use a table to find out what happens if you double or triple each part.
Example:
Parts: 3 5 1×: 3 5 2×: 6 10 3×: 9 15
Understanding bar models
A bar model is a visual tool that represents ratios as bars split into parts. Each section of the bar stands for one part of the ratio. Bar models help children see how quantities are shared or compared, making abstract problems more concrete.
Worked example
If the ratio of red to blue marbles is 2:3 and there are 10 red marbles, how many blue marbles are there
Step 1: Set up the ratio table
Red Blue 2 3
Step 2: Find the multiplier
10 red marbles ÷ 2 = 5
Step 3: Use the multiplier for blue marbles
3 × 5 = 15
Step 4: Draw a bar model
Draw 2 equal bars for red and 3 equal bars for blue. If 2 bars = 10, then 1 bar = 5. So 3 bars = 15 blue marbles.
The correct answer is 15 blue marbles.
Key insight: Ratio tables and bar models make ratio problems clearer and easier to solve by organising information logically and visually.
Supporting your child
Practise building ratio tables and drawing bar models together. Talk through each step and encourage your child to explain their thinking. Visual methods help build confidence and understanding for the 11+ exam.
