Stretching high-attaining young people

The Hamilton 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 Hamilton 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: 17 March 2022

Eligible year groups: England, Wales and Overseas - Year 10, Scotland - S3, Northern Ireland - Year 11

Time allowed: 2 hours

Entry fee: Free via invitation or £22 per paper via discretionary

Discretionary entries will open on the same day results for the Intermediate Mathematical Challenge are released.

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.

Certificates, medals and prizes

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. Please note that for the academic year 20/21 the top 100 scorers will all receive the same colour medal and the top 50 of those scorers a book prize. 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: 23+, Medal: 27+, Book prize: 34+

Preparing for the Challenge

We hope that taking part in the Hamilton 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.

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.