11+ Maths

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

Finding percentages of amounts, percentage change, and converting between percentages, fractions and decimals.

74 Papers
1.8 Avg Qs / paper
1.74 Typical marks
45 sec Target time

What examiners actually ask

Percentages appears in 74 of our 338 ready papers (133 tagged questions). It averages 1.8 questions a paper worth about 1.74 marks each. The typical question allows around 45 sec. It appears in 2 CSSE papers we hold.

Percentages appear steadily across 11+ Maths — often as “find 15% of…”, percentage increase or decrease, or conversion questions that link fractions and decimals. Children who only memorise “divide by 100” without understanding what 1% represents struggle when the percentage is awkward (12%, 17.5%) or when the question asks for the original amount after a change. Build from 10% and 1% building blocks, then move into multi-step word problems so the method survives exam wording. Independent papers especially like percentage change wrapped in shopping or population contexts. Always decide whether you need a percentage of an amount, or what percentage one amount is of another, before you calculate — those two question types look similar and trip children up under time pressure. Leave a quick estimate check for the end.

Worked example

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

Merchant Taylor' School Maths 11+ Practice Paper 1 · Question 36 · 3 marks · Percentage

Correct answer
5
Method
Let the height from which ball is dropped = x {"math":"fraction","eq":"75/100","color":"skyblue","size":100,"label":"75%="} {"math":"fraction","eq":"75x/100","color":"skyblue","size":100,"label":"1st time bounce="} {"math":"fraction","eq":"3x/4","color":"skyblue","size":100,"label":"1st time bounce="} {"math":"fraction","eq":"3x/4","color":"skyblue","size":100,"label":"1st time bounce="} {"math":"fraction","eq":"3x/4","color":"skyblue","size":100,"label":"2nd time bounce="}{"math":"fraction","eq":"3x/4","color":"skyblue","size":100,"label":"x"} {"math":"fraction","eq":"(3x/4)^n","color":"skyblue","size":100,"label":"n time bounce="} It should bounce less than 25% of the original height. {"math":"fraction","eq":"(3x/4)^n","color":"skyblue","size":100,"label":"1/4="} {"math":"fraction","eq":"(3x/4)^5","color":"skyblue","size":100,"label":"1/4="} Here n = 5,  {"math":"fraction","eq":"(3/4)^5","color":"skyblue","size":100,"label":""}{"math":"fraction","eq":"","color":"skyblue","size":100,"label":"=243/1024"} {"math":"fraction","eq":"1/4","color":"skyblue","size":100,"label":"(3/4)^5<"} So, n = 5, number of times it will bounce so that it reaches less than 25% of the original height.

Common mistakes

  • Finding a percentage of the wrong base amount after an increase or decrease.
  • Treating “increase by 20%” as multiply by 0.2 instead of 1.2.
  • Rounding too early and drifting from the exact answer the mark scheme expects.
  • Confusing “what percentage is A of B” with “what is A% of B”.

Papers with the most Percentages questions

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

Find what is actually costing marks

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