Download past papers and solutions

Stretching high-attaining young people

The Junior Mathematical Olympiad is a follow-on round to the Junior Mathematical Challenge. It is a two-hour competition consisting of 16 problems: 10 in Section A and six in Section B. Only answers are required to the problems in Section A whereas full written solutions are required for problems in Section B.

We invite around 1200 qualifying students from the Junior Mathematical Challenge to take part in the Junior Mathematical Olympiad. Invitations to participate in the Junior Olympiad will be clearly indicated in your results from the Junior Mathematical Challenge. Students who have missed the qualifying threshold and therefore do not receive an invitation may be entered into the competition at the discretion of their school.

The competition materials, whether hard copy or made available online, will be provided at least several days before the competition.

How do I take part?

The competition is by invitation (to candidates scoring above a certain threshold, which is variable from year to year) and those entered at the discretion of their schools via the order link on this page.


What happens after the Junior Mathematical Olympiad?

Each qualifying student receives a Certificate of Qualification and the top-scoring 25% of participants each receive a Certificate of Distinction. Candidates who make a good attempt at Section B of the paper receive a Certificate of Merit.

The top 50 or so scorers will be awarded a book prize; the title varies from year to year.

We award medals on a different basis to certificates and prizes. The medal-awarding score is calculated as the score from Section A plus the scores of 5 or more for Section B problems. (Section B marks of 4 or less will not count towards the medal-awarding score.) Each of the top 30 scorers receive a gold medal, the next 60 a silver medal and the next 120 a bronze medal.

How can I prepare for the Junior Mathematical Olympiad?

Teachers can use past Junior Olympiad papers as a source of high-quality problems to encourage their students to think mathematically and to prepare for the competition. We are delighted to be working with DrFrostMaths to help teachers use past problems in the classroom.

We also sell downloadable past papers and books which can help students to prepare for our competitions.

Can you help us?

If you or someone you know has benefited from our activities then please consider making a donation.

Find out more about volunteering with us.

Junior Mathematical Olympiad 2021 (discretionary entry)

Check your account to see if you have any automatic qualifiers for this competition.

Tue 15 Jun 2021
23:59 on Sun 6 Jun 2021
23:59 on Sun 6 Jun 2021
Open to
Year 8 or below S2 or below Year 9 or below
£22.00 per paper
Entries to this competition are either not open yet or have already closed.