Stretching high-attaining young people

The British Mathematical Olympiad Round 1 is a follow-on round to the Senior Mathematical Challenge. As well as challenging high-scorers from the Senior Mathematical Challenge, the British Mathematical Olympiad is an entry point to the training and selection programme for international competitions.

Date: Wednesday 16th November 2022 - Please note:  Schools on China Standard Time (UTC +08:00) need to sit the Olympiad on Thursday 17th November 2022

Eligible year groups: England, Wales and Overseas - Year 13 and below, Scotland - S6 and below, Northern Ireland - Year 14 and below

Time allowed: 3.5 hours

Entry fee: Free via invitation or £40 per paper via discretionary

Discretionary entries will open on the same day results for the Senior 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 open to eligible students and those entered at the discretion of their schools.

We invite around 1,000 qualifying students from the Senior Mathematical Challenge to take part in the British Mathematical Olympiad Round 1. Students who did not take the Senior Mathematical Challenge, or who did not reach the qualifying threshold, may be entered into the Challenge at the discretion of their school.

Invitations to participate in BMO1 will be indicated alongside results from the Senior Mathematical Challenge. Question papers will be available to download and print before the Olympiad date.

Olympiad Entries

Purchasing and managing entries

Discretionary entries into the British Mathematical Olympiad Round 1 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 BMO1 you will then need to upload their answer sheets to your Challenges Profile.

Download the Olympiad Handbook to help navigate you through hosting BMO1.

Preparing for the Challenge

The Mathematical Olympiad for Girls papers provide excellent preparation for BMO1 and for the Hamilton and Maclaurin Olympiads.

Students preparing for the competition should look at our guidance and past British Mathematical Olympiad Round 1 papers.

We also sell books which can help students to prepare for our competitions.


Scoring rules for the British Mathematical Olympiad Round 1 are as follows:

  • Each question carries 10 marks
  • Partial marks are awarded depending on the clarity of the participants Mathematical presentation. We advise working in rough first, then writing up your best attempt.
  • One complete solution will gain more credit than several unfinished attempts.
  • Answers left blank will be marked as 0


The top scoring students will receive a Certificate of Distinction or a Certificate of Merit depending on their score. 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.

Around 100 eligible top-scorers will be invited to sit the British Mathematical Olympiad Round 2.

The 2021 award thresholds were:

Distinction 21+. In 2021 the top scoring 26% of students achieved this award.

Merit 11+. In 2021 the next top scoring 40% of students achieved this award.

British Mathematical Olympiad Round 2 qualification threshold

33+ (yr 13, S6, NI14), 32+ (yr 12, S5, NI13), 31+ (yr 11, S4, NI12), 29+ (yr 10, S3, N11 and below)

To view the 2021 Markers' Report, please click here.

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.