Free TMUA mock paper with full worked solutions — 20 original multiple-choice questions in exam format, written by a maths tutor with 20+ years’ experience. What’s included Full-length TMUA-style mock paper (Paper 1 format: 20 multiple-choice questions, 75-minute exam format) Complete worked solutions for every question, written to teach the method, not just state the answer Who it’s for Students applying for Mathematics, Economics, Computer Science and related degrees at Cambridge, Oxford, Imperial, LSE, Warwick and Durham, where the TMUA is used in admissions. Suitable for Yr 12–13; ideal for mock practice once official past papers run out. A note on difficulty These questions are deliberately hard — the paper focuses on challenging, multi-step problems rather than routine ones, because students improve fastest by wrestling with difficult material. A guide to using the paper (including recommended timing) is on the front page. About the author I read Mathematics at Imperial and have tutored maths full-time for over 15 years, including extensive admissions-test preparation. I went to a state school myself, and I make these resources free so that every student has access to serious TMUA preparation, whatever their school can provide. Nine further original mock papers, an online exam simulator, and a complete free course on the logic and proof content of TMUA Paper 2 are available at jzmaths.com — all free, no sign-up required.