TMUA Guides
In-depth, regularly-updated guides on past papers, university requirements, preparation and exam strategy, from the team behind the CrackTMUA question bank.
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The complete overview
Format, syllabus, scoring, and how universities use it, all in one place.
ReadPaper 2 reasoning
How to master TMUA Paper 2 reasoning: necessary vs sufficient, implications and converses, negation, counterexamples, proof techniques and spotting the flaw in a faulty proof.
Read2026 Registration
TMUA booking is open now. Register by 28 September 2026, 6pm BST; the test runs 12 to 16 October. Fees £78 UK / £133 international, plus a step-by-step booking guide.
Read2027 Entry
The TMUA score you need for each university: Cambridge and Oxford around 6.5+, Imperial, LSE and UCL roughly 6.0+, while Durham and Warwick reward 5.0+ with a reduced offer. Plus how the 1.0-9.0 scale works and who requires it.
ReadThe top of the scale
The hardest TMUA questions from the real past papers, with full worked solutions. See what the top of the 1.0-9.0 scale actually looks like and learn the moves that unlock them.
ReadPast Papers
Every official TMUA past paper from 2016 on, what changed under UAT-UK, and a proven 3-phase method to turn them into a real score gain. Practise free.
ReadNew to the TMUA? Understand the test and how it compares.
Your child is sitting the TMUA. What it is, the deadlines that matter, how to tell if they are on track, what it costs and what is not worth paying for.
Which of your students need the TMUA, the deadlines your calendar must carry, why Paper 2 catches them out, and how to run prep without building a course.
STEP vs TMUA: the TMUA is a multiple-choice test sat before you apply; STEP is a hard written-proof exam inside a Cambridge offer. Who sits which, and when.
Who needs the TMUA, and the score each university looks for.
The TMUA score you need for each university: Cambridge and Oxford around 6.5+, Imperial, LSE and UCL roughly 6.0+, while Durham and Warwick reward 5.0+ with a reduced offer. Plus how the 1.0-9.0 scale works and who requires it.
Imperial requires the TMUA for Maths, Computing and Economics degrees. A competitive score is 6.5 to 7.0+. Which courses need it and how Imperial reads your score.
LSE requires the TMUA for BSc Economics and Econometrics & Mathematical Economics. The score to aim for, how LSE actually uses it, and where to start practising.
Key dates, booking, fees, and what test day actually involves.
TMUA booking is open now. Register by 28 September 2026, 6pm BST; the test runs 12 to 16 October. Fees £78 UK / £133 international, plus a step-by-step booking guide.
In mainland China, Hong Kong and Macau the TMUA runs on 15 or 16 October 2026 only, not the full window. The restricted dates, the reason, and what changes.
You sit the TMUA at a Pearson VUE test centre, chosen when you book through your UAT-UK account. How to find your nearest centre, compare slots and book well.
How the 1.0 to 9.0 scale works, and when your results land.
TMUA results come out about four weeks after your test: 16 November 2026 for the October sitting, in your UAT-UK account. Resit rules and how unis get scores.
TMUA results day 2026 is 16 November: October scores release in your UAT-UK account. Step-by-step access, what to check first, and what to do with your score.
Are there TMUA grade boundaries? No fixed A-level-style table maps raw marks to a grade. Here is what UAT-UK actually does, and what we genuinely do know.
Build a plan and the habits that move your score.
Honest numbers for TMUA preparation: how many questions exist, how many hours a serious candidate puts in, what a sensible weekly volume looks like, and when more practice stops helping.
How to work out your TMUA starting level before you begin revising, why a diagnostic beats guessing, and how to turn the result into a study plan. Free adaptive diagnostic, six questions.
A complete TMUA study plan: the week-by-week 12-week plan to the October 2026 sitting, Paper 2 reasoning, timed mocks, spaced review and calculator-free speed.
Every official paper, year by year, and how to drill it.
The hardest TMUA questions from the real past papers, with full worked solutions. See what the top of the 1.0-9.0 scale actually looks like and learn the moves that unlock them.
Every official TMUA past paper from 2016 on, what changed under UAT-UK, and a proven 3-phase method to turn them into a real score gain. Practise free.
The TMUA 2023 past paper broken down: what Paper 1 and Paper 2 covered, how hard it was, the standout question, and real questions to try free with worked solutions.
Pace, method, and the Paper 2 mindset that win marks.
The most common TMUA mistakes, from burning the official papers too early to neglecting Paper 2 reasoning, plus the simple fixes that recover the most marks.
Twenty mathematical slips the TMUA exam board names in its own notes, from the lost minus in (−3x)⁵ to the fence-post error, each with the check that catches it.
How to score 7.0 or higher on the TMUA: what a top-tier grade takes in raw marks, the highest-leverage skills, and a concrete timed-practice plan to get there.
Every topic on the test, explained with worked examples.
How to master TMUA Paper 2 reasoning: necessary vs sufficient, implications and converses, negation, counterexamples, proof techniques and spotting the flaw in a faulty proof.
How integration is tested on the TMUA: integrating powers of x, definite integrals, the area under a curve and between curves, and the link to differentiation.
The reasoning techniques TMUA Paper 2 rewards: counterexamples, direct deduction, proof by contradiction, must-be-true over all cases, necessary vs sufficient, and spotting a flawed proof. With a worked example and how to know which to use.
Honest takes on tutors, courses, and what is worth your time.
An honest roundup of the best TMUA preparation resources, ranked by real usefulness: the official past papers and logic notes first, then the good extras.
An honest list of genuinely free TMUA resources: official past papers and answers, free PMT papers, worked-solution videos, and a free daily question bank.
TMUA tutors typically advertise £30 to £70 an hour, specialists higher. What tutoring really costs, what you get for it, and whether you actually need one.