Download past papers and solutions

Stretching high-attaining young people

The Cayley Olympiad is a follow-on round to the Intermediate Mathematical Challenge. It is a 2-hour competition consisting of six problems requiring full written solutions.

We invite around 600 qualifying students from the Intermediate Mathematical Challenge to take part in the Cayley Olympiad. Students who have missed the qualifying threshold for the competition may be entered into the competition at the discretion of their school.

How do I take part?

The competition is open to qualifying students and those entered at the discretion of their schools.

We send invitations to participate in the Cayley Olympiad with the results of the Intermediate Mathematical Challenge and send competition papers to UKMT centres to arrive at least one week before the competition date.

What happens after the Cayley Olympiad?

Each qualifying student receives a Certificate of Qualification and the highest-scoring participants each receive Certificates of Distinction and Merit.

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

We award a medal to the top 100 scorers in the competition.

How can I prepare for the Cayley Olympiad?

Teachers can use past Cayley 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.

Cayley Olympiad 2020 (discretionary entry)

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

Thu 19 Mar 2020
13:00 on Mon 9 Mar 2020
13:00 on Mon 9 Mar 2020
Open to
Year 9 or below S2 or below Year 10 or below
£22.00 per paper
Entries to this competition are either not open yet or have already closed.