11+ Maths

Ratio and Proportion in the 11+ — Questions, Worked Answers and Practice Papers

Sharing quantities in a ratio, scaling recipes and maps, and solving proportion problems in the 11+.

109 Papers
2.1 Avg Qs / paper
1.71 Typical marks
1.1 min Target time

What examiners actually ask

Ratio and Proportion appears in 109 of our 571 ready papers (224 tagged questions). It averages 2.1 questions a paper worth about 1.71 marks each. The typical question allows around 1.1 min.

Ratio and proportion questions are fewer than fractions overall, but they punch above their weight in selective papers — especially independent-school Maths. Typical asks: share an amount in a given ratio, find one part when another is known, or scale a recipe or map. Children who treat ratio as two unrelated numbers, or who forget to use all the parts when sharing, drop marks quickly. Teach “parts” language explicitly, bar models for sharing, and unitary method for proportion, then practise under timed conditions. Always write the total number of parts before dividing, and check whether the question wants one share, several shares, or the difference between shares. A thirty-second sense-check (“do the parts add back to the original amount?”) prevents many expensive mistakes.

Worked example

A real tagged question from our catalogue — method included, not paywalled.

Alleyn's Maths 11+ Sample Exam Paper 1 · Question 18 c · 2 marks · Proportion

Correct answer
Method

Common mistakes

  • Sharing an amount into the ratio numbers themselves instead of into the total number of parts.
  • Finding one part correctly then forgetting to multiply up for the quantity asked.
  • Confusing ratio order (A:B) when the question asks for B’s share.
  • Scaling only one quantity in a proportion word problem.

Papers with the most Ratio and Proportion questions

Ranked from our tagged catalogue — open a paper to practise the questions that actually test this topic.

Find what is actually costing marks

Not sure whether ratio and proportion is the problem? Mark any past paper on 11plusSolved and the report tells you which topics are costing marks — and how many.