11+ Maths

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

Multi-step Maths questions written in prose — extracting the calculation from the story under exam timing.

106 Papers
4.2 Avg Qs / paper
2.06 Typical marks
56 sec Target time

What examiners actually ask

Word Problems appears in 106 of our 338 ready papers (445 tagged questions). It averages 4.2 questions a paper worth about 2.06 marks each. The typical question allows around 56 sec.

Word problems are where many otherwise strong mathematicians drop marks. The arithmetic is often straightforward; the difficulty is deciding what to calculate, in what order, and which information to ignore. 11+ papers pack these into Numbers, Money, Time and Ratio contexts. Children who rush into the first number they see, or who stop after one step of a two-step question, consistently underperform. The fix is deliberate practice: underline the question, list the facts, choose the operations, then compute — and always re-read the last sentence before boxing an answer. Independent papers especially like unused numbers and multi-clause stems. Teach a short “plan, calculate, check” habit so method survives when the story is long and the clock is short.

Worked example

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

Sydenham High School Maths Sample Paper · Question 11 a · 4 marks · Word problems

Correct answer
Sugar = 160 g Butter = 200 g Eggs = 4g Flour = 240 g
Method
For 12 cupcakes we need 120 g of sugar. For 1 cupcake we need, {"math":"fraction","eq":"120/12","color":"skyblue","size":100,"label":"="} {"math":"fraction","eq":"10g","color":"skyblue","size":100,"label":"="} So, for 16 cupcakes, {"math":"fraction","eq":"10x16","color":"skyblue","size":100,"label":"="} {"math":"fraction","eq":"160 g","color":"skyblue","size":100,"label":"="} For 12 cupcakes we need 150 g of butter. For 1 cupcake we need, {"math":"fraction","eq":"150/12","color":"skyblue","size":100,"label":"="} {"math":"fraction","eq":"12.5","color":"skyblue","size":100,"label":"="} So, for 16 cupcakes, {"math":"fraction","eq":"12.5x16","color":"skyblue","size":100,"label":"="} {"math":"fraction","eq":"200 g","color":"skyblue","size":100,"label":"="} For 12 cupcakes we need 3 eggs For 1 cupcake we need, {"math":"fraction","eq":"3/12","color":"skyblue","size":100,"label":"="} {"math":"fraction","eq":"1/4","color":"skyblue","size":100,"label":"="} So, for 16 cupcakes, {"math":"fraction","eq":"1/4","color":"skyblue","size":100,"label":"="} {"math":"fraction","eq":"16/1","color":"skyblue","size":100,"label":"x"} {"math":"fraction","eq":"16/4","color":"skyblue","size":100,"label":"="} {"math":"fraction","eq":"4 eggs","color":"skyblue","size":100,"label":"="} For 12 cupcakes we need 180 g of flour. For 1 cupcake we need, {"math":"fraction","eq":"180/12","color":"skyblue","size":100,"label":"="} {"math":"fraction","eq":"15g","color":"skyblue","size":100,"label":"="} So, for 16 cupcakes, {"math":"fraction","eq":"10x15","color":"skyblue","size":100,"label":"="} {"math":"fraction","eq":"150 g","color":"skyblue","size":100,"label":"="}

Common mistakes

  • Solving only the first step and forgetting the question asked for a final total, difference or remaining amount.
  • Using the wrong operation because a keyword was misread (“more than”, “of”, “shared equally”).
  • Ignoring units (pence vs pounds, minutes vs hours) until the answer looks absurd.
  • Leaving working that does not match the boxed answer when partial credit depends on method.

Papers with the most Word Problems 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 word problems is the problem? Mark any past paper on 11plusSolved and the report tells you which topics are costing marks — and how many.