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The highest scorers in the JMC are invited to participate in the **Junior Mathematical Olympiad.** Around 1100 pupils take part in the JMO.

It consists of a two-hour paper of more in-depth mathematical problems to which there are two sections: Section A requires answers only whereas full written solutions are required for Section B. For some pupils this may be an unfamiliar exercise and an enjoyable introduction to this kind of mathematical activity. Papers are set and marked by the UKMT. Note that papers are marked almost immediately after the JMO date as we aim to return them to all candidates before the end of the summer term.

Please note that the thresholds are recalculated each year using the algorithms shown on this page, above past papers.Junior Olympiad 2019 medal thresholds (based on total of section A and section B scores of 5 or greater): Gold/Silver/Bronze 59/55/45

- Dr Frost Maths - Interactive system using UKMT Challenge and Olympiad questions.

Institutions with a UKMT centre number may enter students in the appropriate school years who did not qualify automatically. A fee of £20 per entry is payable, and we would expect discretionary candidates to be talented mathematicians who, for example, were absent for the JMC or narrowly missed the qualifying threshold.

**To enable discretionary entries to be made,** an online form is provided at the appropriate time of year, and the URL will be given in the JMC results documentation.

Based on the total score (A plus B sections; maximum score = 70) book prizes and certificates are awarded.

The top scoring 25% of all candidates receive a Certificate of Distinction. Of those scoring below this, candidates who make a good attempt at the paper (usually a score of 8+, but may be moderated based on the score distribution) will receive a Certificate of Merit. Of the remaining candidates, those who qualified automatically for the JMO via the JMC receive a Certificate of Qualification. Discretionary (paid-for) candidates are only eligible for Distinction and Merit certificates. The top 50 scorers will be awarded a book prize; the title varies from year to year.

Medals are awarded on a different basis to certificates and prizes.

The medal-awarding total will be the Section A mark + Section B marks that are 5 or more. (Section B marks of 4 or less will not count towards the medal-awarding total.) The top 210 will receive a medal; gold: silver: bronze 30:60:120.

- Sample pupil solutions 2017
- Sample pupil solutions 2016
- Sample pupil solutions 2015
- Sample pupil solutions 2014
- Sample pupil solutions 2013
- Sample pupil solutions 2012
- Sample pupil solutions 2011
- Sample pupil solutions 2010

**Questions and Solutions Booklet**

- Questions 2019
- Solutions 2019
- Markers' report 2019
- Questions 2018
- Solutions 2018
- Questions and Solutions 2017
- Questions and Solutions 2016
- Questions and Solutions 2015
- Questions and Solutions 2014
- Questions and Solutions 2013

You may buy collections of past papers.