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    Olympiad · Mathematics

    UKMT Intermediate Mathematical Challenge (IMC) Free Resources, Practice Questions, Notes and Past Papers

    Everything on this page is free to use while you prepare for UKMT Intermediate Mathematical Challenge (IMC). The library brings together past papers, practice questions, chapter notes, worksheets and full mock tests so you can revise a topic, then test yourself on it in the same sitting.

    These resources suit students studying UKMT Intermediate Mathematical Challenge (IMC) at school, home-schoolers working independently, and parents looking for structured practice between lessons. Start with a diagnostic or past paper to find your weak topics, work through the matching notes and worksheets, then finish with a timed mock test to rebuild exam pace.

    For the full syllabus, teaching approach and pricing, see the UKMT Intermediate Mathematical Challenge (IMC) course page, or browse our Mathematics mentors.

    IMC Previous Year Papers

    Real past papers, listed by year, with solutions wherever they are published.

    UKMT IMC papers by year

    15 years of official papers and solutions.

    Open past paper library

    IMC Practice Tests and Mock Exams

    Topic tests and full-length mocks, graded instantly with worked solutions.

    IMC practice tests and mock exams — coming soon

    Our academic team is preparing this resource. Check back shortly, or ask a mentor for a copy in the meantime.

    IMC Notes, Worksheets and Assignments

    Chapter notes, formula sheets, revision guides, topic worksheets and homework sets, grouped by chapter.

    IMC notes, worksheets and assignments — coming soon

    Our academic team is preparing this resource. Check back shortly, or ask a mentor for a copy in the meantime.

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