11+ Maths

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

Multi-step and non-routine Maths problems — choosing a strategy when the method is not obvious.

20 Papers
8.2 Avg Qs / paper
2.62 Typical marks
32 sec Target time

What examiners actually ask

Problem Solving appears in 20 of our 338 ready papers (163 tagged questions). It averages 8.2 questions a paper worth about 2.62 marks each. The typical question allows around 32 sec. It appears in 2 CSSE papers we hold.

Problem-solving tags gather questions that need a plan before a calculation: draw a diagram, work backwards, try a simpler case, or organise information in a table. These overlap word problems but emphasise strategy choice. Children who jump straight into arithmetic without a plan waste time and marks. Teach a short toolkit and name the strategy out loud before computing. Independent papers lean hardest on these. Practise recognising when a problem is “not a single operation” so children slow down deliberately. After solving, check the answer against the original question in one sentence. If you are stuck after a minute, switch strategy deliberately — a new diagram beats staring at the same dead-end calculation.

Worked example

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

The North London Independent Girl's School's Consortium Group 1 2010 · Question 44 · 4 marks · Logical Problems

Correct answer
Method

Common mistakes

  • Starting calculations before deciding on a strategy.
  • Ignoring a constraint or unused information that changes the approach.
  • Finding an intermediate value and forgetting the actual question.
  • Giving up too early instead of trying a simpler related case.

Papers with the most Problem Solving 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 problem solving is the problem? Mark any past paper on 11plusSolved and the report tells you which topics are costing marks — and how many.