Solving Ratio and Scaling Questions for 11+ Maths
19 October 2026
Understanding ratio problems
Ratio questions are common in the 11+ Maths exam, especially in the GL and CEM styles. Children are asked to compare quantities, scale up or down, and find missing values using ratios. These problems often appear in real-life contexts, such as recipes, maps, or mixtures.
Scaling up and scaling down
Scaling means multiplying or dividing all parts of a ratio by the same number to keep the relationship the same. For example, if a recipe uses a 2:3 ratio of flour to sugar, doubling both gives 4:6. It is important to check whether the question asks for a larger or smaller amount so your child knows whether to scale up or down.
Setting up the proportion
A key step is to match the known quantities with the unknown in a clear proportion. Encourage your child to line up the ratios so that the same items are in the same position on both sides. For example, if the ratio is boys:girls, keep that order throughout the calculation.
Common mistakes to avoid
Children sometimes mix up the direction of scaling or swap the order of quantities in a ratio. Remind them to check if their answer should be bigger or smaller than the starting value, and to keep the order of items consistent when writing ratios and proportions.
Key insight: Scaling questions test both ratio understanding and logical thinking. Encourage your child to pause and ask, 'Should my answer be larger or smaller?' before they calculate. This habit helps avoid common errors and builds confidence.
