Stretching high-attaining young people
The Cayley Mathematical Olympiad is a follow-on round to the Intermediate Mathematical Challenge. It is a 2-hour Challenge 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 Mathematical Olympiad. Students who have missed the qualifying score threshold for the Challenge, which varies from year to year, may be entered into the Challenge at the discretion of their school.
Date: Thursday 16th March 2023 - Please note: Schools on China Standard Time (UTC +08:00) need to sit the Olympiad on Friday 17th March 2023
Eligible year groups: England, Wales and Overseas - Year 9 and below, Scotland - S2 or below, Northern Ireland - Year 10 or below
Time allowed: 2 hours
Entry fee: Free via invitation or £25 per paper via discretionary
Discretionary entries will open on the same day results for the Intermediate Mathematical Challenge are released.
Entry deadline: You can now place orders right up to the day of the Olympiad, including on the day itself. You just need to make sure you leave yourself enough time to pre-populate, download and print your answer sheets and question papers.
How to take part
The Challenge 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.
Purchasing and managing entries
Discretionary entries into the Cayley Mathematical Olympiad can be purchased via your online Challenges Profile.
Qualifying students will automatically appear on your Challenges Profile.
For both qualifiers and discretionary entries you will be provided with a question paper, cover sheet and 6 master answer sheets for each student, which will need to be downloaded and printed in school. We only send out hard copy question papers for first round Challenges.
You will also be provided with an online login for each student, which enables them to log in to the Challenges site after the Olympiad has been marked to view their results and any feedback the markers have left.
Once your students have finished sitting the Cayley Olympiad you will then need to upload their answer sheets to your Challenges Profile.
Download the Olympiad Handbook to help navigate you through hosting the Cayley Mathematical Olympiad.
Preparing for the Challenge
We hope that taking part in the Cayley Mathematical Olympiad is a stimulating and rewarding experience for all students, whether or not they have prepared.
You can download past papers, solutions and investigations here and use them as a source of high-quality problems to encourage mathematical thinking and prepare students for the Challenge. We are delighted to also be working with DrFrostMaths to help teachers use past problems in the classroom.
We also sell downloadable past papers and books which can help with preparation.
Scoring rules for the Cayley Mathematical Olympiad are as follows:
- Each question is worth 10 points
- Answers can be awarded partial marks depending on on the clarity of the participants Mathematical presentation
- Answers left blank will be marked as 0
The highest-scoring participants each receive Certificates of Distinction and Merit. Each of the top 20 scorers receive a gold medal, the next 30 a silver medal and the next 50 a bronze medal. All medalists will also be awarded a book prize; the title varies from year to year. Each qualifying student receives a Certificate of Qualification or Participation depending on their entry route.
Certificates are pre-populated with student names and can be downloaded and printed as soon as results are released.
The 2021 award thresholds were: Merit: 10+, Distinction: 28+, Medal: 31+, Book prize: 37+
Contributing to our work
As a charity, we do not make a profit from entry fees. We spend all the money we raise on advancing the education of young people in mathematics. If you would like to support us further then please consider making a donation.
Our volunteers are at the heart of everything UKMT does from creating the Challenges to running our Enrichment activities. If you would like to find out more about volunteering with us please do get in touch.