A complete TMUA preparation programme built from years of coaching applicants to Cambridge, Imperial, LSE and Oxford — efficient methods, the reasoning examiners reward, and relentless timed practice on our own topic-organised question bank.
This is not a re-run of your A-Level syllabus. The TMUA rewards how you think, not how much you can calculate — so every session trains you to read a question, recognise its structure and reach for the fastest reliable method. We start topic by topic, then move to mixed papers and full timed mocks, with the most recent official papers saved for realistic rehearsal.
What you'll learn
The whole TMUA syllabus, topic by topic, with worked past-paper examples
Efficient, reliable methods for reaching the answer under time pressure
Paper-by-paper strategy: pacing and technique for Paper 1 and Paper 2
The common question families, and how to recognise them instantly
Paper 2 logic and proof: necessary/sufficient conditions, implication and counterexample
Exam temperament: timing, accuracy and staying calm under the clock
Course curriculum
Seven blocks across fifteen 90-minute sessions — building from Paper 1 problem-solving to Paper 2 logic and proof, and finishing on full timed papers.
1Algebra and FunctionsQuadratics, polynomials, inequalities, logarithms3 sessions4.5 hrs
2Sequences and SeriesArithmetic and geometric series, the binomial expansion2 sessions3 hrs
3Geometry and TrigonometryCoordinate geometry, radians, identities, graphs2 sessions3 hrs
4Calculus and AnalysisDifferentiation, integration, curve sketching2 sessions3 hrs
5Number, Counting and ProbabilityNumber theory, combinatorics, probability2 sessions3 hrs
6Logic and Proof (Paper 2)Implication, quantifiers, counterexamples, proof3 sessions4.5 hrs
7Timed Papers and ReviewFull mock exams under exam conditions, with feedback1 session1.5 hrs
Total15 sessions22.5 hrs
Frequently asked questions
Applicants to Cambridge, Imperial, LSE, Oxford and any course that requires the TMUA — whether you are starting early or only a few weeks from the test.
No. We build the knowledge required as we go, and before the first session students review a short list of prerequisite concepts. Topics not yet covered at school can be self-studied or supported in extra sessions.
Fifteen 90-minute tutorials — 22.5 hours in total, three a week over five weeks. Topic and question-type work comes first, then mixed questions and full timed mock exams.
Official specimen and past papers, our own topic-organised question bank, timed question sets and full mock exams, plus solution notes and error logs.
Self-study · iBGuru
Prefer to self-study the TMUA?
The TMUA section on iBGuru, our study app: lectures, study notes and practice questions organised topic by topic.
