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Intermediate Challenge

The next Intermediate Challenge will take place on Thursday 1 February 2018.

  • 2017-18 Challenge PDF entry form (UK)
  • Registered non-UK schools please email us for a non-UK entry form.

    Click here for printable IMC17 pupil's Certificate of Participation (dbl-sided; 2 per A4 page)

    The Intermediate Challenge is aimed at pupils in Year 11 or below in England and Wales, Year 12 or below in Northern Ireland and S4 or below in Scotland. The challenge involves answering 25 multiple choice questions in one hour and is sat in school under normal exam conditions. Pupils fill in the answer sheet in B or HB pencil and the Challenge is marked by UKMT using an optical mark reader. We aim to return the results to schools within six weeks, but where we have a valid email address we will email the results within three weeks.

    Papers are posted to arrive two weeks before the challenge date. If your school has not received your papers a week before the Challenge date, please contact us without delay.

    Questions from the Intermediate Challenge can be used as enrichment material in the classroom across the ability range.

    High performers
    The top 40% of students nationally receive a gold, silver or bronze certificate in the ratio 1:2:3 and each institution receives a Best in School certificate. Around 500 of the highest scorers in each school year are invited to take part in the Intermediate Mathematical Olympiad papers: Cayley, Hamilton and Maclaurin for year 9, 10 and 11 and equivalent. A further 5,500 pupils from across all three year groups are invited to sit either the grey or pink European Kangaroo papers. These are one-hour papers with 25 multiple choice questions, taken by pupils from over 30 countries worldwide.

    High scorers may additionally be invited to participate in one of our summer schools

    Pupils who obtain the top score in their school may be invited to one of our "Best in School" events.

    Sample past papers / Solutions

    For students with visual impairment:

    The Intermediate Challenge 2017 thresholds:
    Bronze 47-60     Silver 61-77     Gold ≥ 78+

    IMC 2017 follow-on round qualifying scores
    Cayley Olympiad 97
    Hamilton Olympiad 106
    Maclaurin Olympiad 112
    Grey Kangaroo 72
    Pink Kangaroo 81

    Please note these are for guidance only; the thresholds are recalculated each year based on the national score distribution.

    For more information please check frequently asked questions.

    You may buy collections of past papers


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