Using Ratio Tables and Bar Models for 11+ Maths
19 October 2026
Visual tools for ratio problems
Ratio questions in the 11+ exam often seem abstract. Two tools. Ratio tables and bar models. Can make these problems much clearer for your child. Both help break down complex questions into simple, manageable steps.
What is a bar model
A bar model is a drawing that shows a ratio as equal-sized boxes. For example, to share £20 in the ratio 3:2, draw a bar split into five equal parts. Each part stands for one share. This makes it easier to see how the total is divided.
How ratio tables work
A ratio table lists equivalent ratios in rows or columns. Start with the original ratio, then scale up or down by multiplying or dividing. This helps children find missing values and compare different ratios with confidence.
Combining both methods
Encourage your child to draw a bar model first to visualise the problem. Next, use a ratio table to calculate the exact amounts. This two-step approach supports both visual and numerical reasoning.
Key insight: Always add the numbers in the ratio first to find the total number of boxes in your bar model. Each box must be the same size to represent equal shares.
Example in action
Suppose £20 is shared in the ratio 3:2. Draw five equal boxes. Divide £20 by 5 to get £4 per box. Multiply by 3 for one share (£12) and by 2 for the other (£8). This matches the method used in 11+ style questions.
Why this matters for 11+
GL and CEM exams often include ratio problems that require more than just calculation. They test understanding. Practising with bar models and ratio tables builds strong problem-solving skills and helps children approach these questions calmly.
