UK university entrance maths
Hundreds of past-paper questions — every one tagged by method.
We picked the STEP and TMUA past-paper questions where we have done the real work — written a worked solution, identified the method it tests, linked it to the others that use the same trick. Revision stops being a treasure hunt and starts being a checklist.
Glossary
- Curated question
- — Past-paper question with a worked solution and a tagged method.
- Method
- — Portable technique that pops up across years.
- Worked solution
- — Step-by-step solution written by us in our voice.
- Past paper
- — Official exam session published by the board.
These pages only count the curated set: questions with both a worked solution and at least one tagged method. Bulk past papers without that treatment are hidden.
STEP
Open stats →Sixth Term Examination Paper
Long-form Cambridge problems, decoded into portable methods you can drill.
Targets: Cambridge, Imperial, Warwick
TMUA
Open stats →Test of Mathematics for University Admission
Fast multiple-choice questions, organised into portable methods you can drill.
Targets: Cambridge, Durham, LSE, UCL, Warwick
Latest sessions analysed
One fiche per past-paper session — top methods triggered, chapter mix, drill-downs to the questions that fall.
Top method: Piecewise case-split at switch points for floor, modulus, and Min functions
Top method: Reduce a chord/tangent/intersection condition to a quadratic and steer its discriminant
Top method: Exploit a kinematic constraint: differentiate the position relation to link velocities and accelerations
Top method: Recognise a disguised geometric series, extract its first term and ratio, then apply
Top method: Quantifier order and scope: 'for all there exists ' is weaker than 'there exists for all ', so reduce to a function and push the variable to extremes
Top method: Integral-defined sequences and sums: find the inner integral in closed form, then collapse the sum
How this site is organised
Stats
Top recurring methods, year-by-year breakdowns, chapter weighting, and a year × method heatmap.
Schedule
SoonTell us your weekly availability and the exam date. We slot the highest-yield methods into your timetable.
Guide
SoonWhy method-first beats brute force, pomodoro routines for long STEP problems, and how to read a solution.