Browse TMUA, historical MAT, STEP, ESAT and Olympiad resources, from official past papers and community mocks to worked solutions and historical score thresholds. Find Edexcel textbook solutions, strengthen individual skills with worked examples and practice questions, and plan your admissions or interview preparation.
Curated by Arij Asad, Cambridge Mathematics graduate and STEP examiner. Papers and solutions are credited to their original authors.
Choose your exam, then keep the paper, solutions and available boundaries together.
Question papers, worked solutions and historical raw totals for scores of 7, 8 and 9, plus JZ Maths, Gresty Academy, Beyond Horizon, Yotta and other community collections.
Browse the full TMUA archive →Oxford papers, specimens and additional multiple-choice tests, with historical score averages. MAT is no longer held from 2026; these remain useful extra practice.
Browse the MAT archive →Historical papers, extended worked solutions and available S, 1, 2 and 3 grade boundaries, with Cambridge preparation resources.
Browse the STEP archive →Official ESAT practice and relevant historical papers, answers and worked solutions, plus British Physics Olympiad resources.
Browse the ESAT archive →Past papers, solutions and award boundaries, organised by competition and year, together with individual tuition for students preparing for these challenges.
Find papers and boundaries →Choose the Edexcel book you use in lessons, then find the matching chapter solutions and original practice checks.
Pure, Statistics & Mechanics and Core Pure: find the matching textbook solutions, try a short practice check, and download a sheet with full explanations.
Choose your Edexcel book →Use a question you could not finish to identify the skill to strengthen.
Try eight questions on signs, factorisation, inequalities and graphs. Use the hints, full solutions and matched follow-up questions to choose your next practice.
Try the algebra-to-TMUA diagnostic →Modulus, algebra, sequences, calculus, geometry and counting: practical teaching guidance, worked examples and questions with hints and full solutions.
Choose a topic to practise →Plan a sequence of practice and improve how you explain, review and apply your mathematics.
Two practical sequences connect algebra to TMUA and calculus to STEP, with questions, discussion prompts and suggested next steps.
Open the teaching practice sequences →A structured route from diagnostic work and topic repair to timed practice, error analysis and final computer-based preparation.
Read the TMUA study plan →What a complete mathematical argument needs, how to make progress visible and why checking structure matters as much as reaching an answer.
Read the STEP solution guide →A realistic preparation timeline for students at different stages, from early problem-solving development to offer-holder preparation.
Plan your STEP preparation →How mathematical discussion, hints and unfamiliar questions work, with practical ways to practise explaining reasoning aloud.
Read the interview guide →A practical system for diagnosing errors, revisiting questions and protecting enough papers for realistic timed practice.
Use past papers purposefully →A clear guide to implication, converses, contrapositives, counterexamples and necessary and sufficient conditions.
Strengthen logic and proof →Learn the rules, then try 13 original questions with hints and worked solutions. Printable PDFs and an editable ZIP are included.
Practise negation and contrapositive →Five discussion-led problems with graduated hints and solution outlines for practising mathematical communication.
Try the practice problems →These links go directly to the organisations responsible for the assessments or to the University of Cambridge. Papers remain on the official sites rather than being copied here.
Your tuition package combines one-to-one online lessons, tailored problem sheets and structured practice between lessons. We’ll use your goals and current work to plan what to focus on next.