What the 11+ maths paper is actually testing

Grammar schools in Trafford and a number of independent schools in and around Manchester use an 11+ style entrance exam, and the maths paper trips up plenty of able students. It's not that the content is beyond them; it's that the exam tests something school maths lessons don't focus on much: speed, accuracy under time pressure, and unfamiliar problem-solving formats, all at once.

How it differs from normal school maths

  • Time pressure is the main challenge. Questions are usually short, but there are a lot of them in a fixed time, so working quickly and accurately matters as much as knowing the method.
  • Reasoning-style questions. Many questions wrap standard maths inside a puzzle-like format: working backwards from an answer, spotting a pattern, or combining two or three steps that aren't sign-posted the way a textbook question would be.
  • Little to no partial credit. Many 11+ formats are multiple-choice or exact-answer only, so a small slip has the same cost as not knowing the method at all. This makes accuracy under pressure genuinely important, not just a nice-to-have.
  • Mental arithmetic fluency. Calculators aren't used, and quick, confident mental maths (times tables well beyond 12×12, quick percentage and fraction calculations) makes a real difference to how much time is left for the harder questions.

The content it actually covers

  • Arithmetic: the four operations, done quickly and accurately, including with larger numbers
  • Fractions, decimals and percentages, and converting between them
  • Ratio and proportion
  • Basic algebra: simple equations and sequences
  • Geometry: angles, area, perimeter, and properties of shapes
  • Word problems and multi-step reasoning questions

How to prepare effectively

Short, consistent practice beats occasional long sessions. 20–30 focused minutes a few times a week, sustained over months, builds the speed and accuracy the exam needs far more reliably than cramming closer to the date. It's also worth practising with papers styled like the actual target schools' tests where possible, since formats differ (Trafford's own tests, for example, aren't the same style as CEM or GL Assessment-style papers used elsewhere), and doing timed practice specifically, not just working through questions untimed, since time pressure is a core part of what's being tested.

Most families start focused preparation in Year 4 or the start of Year 5, ahead of exams typically sat in September of Year 6. Starting earlier gives more room to build fluency gradually rather than compressing it into a stressful few months.