11+ Word Problems & Multi-Step Reasoning

The hardest marks in the 11+ maths paper usually come from multi-step word problems that combine several skills — money, fractions, time or measures — into one question. Success here is less about a new skill and more about a reliable method: read carefully, decide the steps, work through them in order, and check.

Children who rush straight to calculating often answer the wrong question. Teaching a habit of underlining the numbers and the actual question first makes a big difference to accuracy.

What the 11+ tests in word problems & multi-step reasoning

  • check_circleChoosing the correct operation(s) from a description
  • check_circleCarrying out two or more steps in the right order
  • check_circleMoney problems and giving change
  • check_circleCombining topics (e.g. fractions inside a money problem)
  • check_circleInterpreting the answer in context (rounding sensibly)
  • check_circleChecking an answer is reasonable

Worked example

A book costs £6.50. Priya buys 3 books and pays with a £20 note. How much change does she get?

  1. Work out the cost of 3 books: 3 × £6.50 = £19.50.
  2. Subtract from the amount paid: £20.00 − £19.50.
  3. Interpret the answer as money.

checkAnswer: 50p change

Common mistakes to avoid

  • errorStopping after the first step (giving the total cost, not the change).
  • errorLosing track of pounds and pence when subtracting money.
  • errorNot checking the answer makes sense in the real situation.

Top tips

  • lightbulbUnderline the numbers and the final question before doing any working.
  • lightbulbWrite each step on a new line so nothing is skipped.
  • lightbulbFinish by asking 'does this answer make sense?' — 50p change from £20 for three £6.50 books does.

Practise word problems & multi-step reasoning free

ElevenEdge gives your child adaptive word problems & multi-step reasoning questions at just the right level, with a worked solution on every one. No card needed to start.

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More 11+ maths guides

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