Practise for the Junior Challenge

Junior Problems (£15.00)Andrew Jobbings


This book includes all 500 problems from the ten Junior Mathematical Challenge papers set by the UKMT between 1997 and 2016. The problems—which are not given as multiple-choice questions—have been grouped together in two ways: by difficulty; and by topic. The answer to every problem in the book is included. Also, nearly every problem has a remark of some sort. Each remark is not intended to be a ‘full written solution’, but sketches one method, providing a sequence of pointers so that, hopefully, the reader is then able to go on and solve the problem.

Latest News

  • Enter the Junior Challenge now - final deadline 21 March. Entry form


  • Entry form for the Team Maths Challenge; here are the dates/venues (still accepting entries for heats with places left).

  • The IMC thresholds are as follows:

    Bronze       48-58
    Silver       59-72
    Gold         73+

    Grey         68
    Pink         76
    Cayley       93
    Hamilton     100
    Maclaurin    104

    See our 
    Intermediate Kangaroo 
    and Olympiad pages for information and sample materials.

    The results have been emailed (where we had an email address) and will be posted ASAP.

    The questions and extended solutions are now available to download.

Challenge dates

  1. Senior Mathematical Challenge

    Tuesday 6 November 2018

    Closing date for entry

    Entry form available from July 2018

    Download past papers

  2. Intermediate Mathematical Challenge

    Thursday 7 February 2019

    Closing date for entry

    Entry form available from July 2018

    Download past papers

  3. Junior Mathematical Challenge

    Thursday 26 April 2018

    Closing date for entry (UK)

    21 March 2018

    Download past papers

About the Trust

The UK Mathematics Trust (UKMT) is a registered charity whose aim is to advance the education of children and young people in mathematics. The UKMT organises national mathematics competitions and other mathematical enrichment activities for 11-18 year old UK school pupils. We were established in 1996 and last academic year over 600,000 pupils from 4,000 schools took part in the three individual challenges, the UK's biggest national maths competitions. Each challenge leads into a follow-on Olympiad round and we run mentoring schemes and summer schools for high performing students as well as training the team of six to represent the UK in the International Mathematical Olympiad. We also run team maths competitions for two age ranges, publish books and organise enrichment seminars for teachers.

Supported By

  • The Actuarial Profession - Making sense of the future
  • Oxford Asset Management