Stretching high-attaining young people

The British Mathematical Olympiad Round 2 follows Round 1. It is a 3.5-hour Challenge consisting of four very challenging problems requiring full written solutions.

As well as challenging high-scorers from the British Mathematical Olympiad Round 1, the British Mathematical Olympiad Round 2 is an entry point to the training and selection programme for international competitions.

Date: Wednesday 25th January 2023 - Please note:  Schools on China Standard Time (UTC +08:00) need to sit the Olympiad on Thursday 26th January 2023

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 £50 per paper via discretionary

Discretionary entries will open on the same day results for the British Mathematical Olympiad Round 1 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

We invite around 100 eligible students from the British Mathematical Olympiad Round 1. Students who did not take the BMO1, or who did not qualify for an invitation, may be entered into the Challenge at the discretion of their school.

Olympiad Entries

Purchasing and managing entries

Discretionary entries into the British Mathematical Olympiad Round 2 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 4 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 BMO2 you will then need to upload their answer sheets to your Challenges Profile.

Download the Olympiad Handbook to help navigate you through hosting BMO2.

Preparing for the Challenge

Students preparing for the Challenge should look at our guidance and past British Mathematical Olympiad Round 2 papers.

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


Scoring rules for the British Mathematical Olympiad Round 2 are as follows:

  • Each question, which require full written solutions, is worth 10 points
  • Marks awarded depend on the clarity of the participants Mathematical presentation. We advise working in rough first, then writing up your best attempt
  • One or two complete solutions will gain far more credit than partial attempts for all four questions
  • 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 qualifying student receives a Certificate of Qualification or Participation depending on their entry route.

The 2022 award thresholds were:

Distinction 17+. In 2022 the top scoring 25% of students achieved this award.

Merit 10+. In 2021 the next top scoring 23% of students achieved this award.

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.