British Mathematical Olympiad Round 2

As a follow-on Round to the British Maths Olympiad (BMO) Round 1, the British Maths Olympiad Round 2 is a 3.5 hour Olympiad consisting of four Olympiad style problems.

Entry to the British Maths Olympiad Round 2 is by invitation based on a qualifying BMO1 score, or by discretionary entry.

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

For more information and past papers visit the BMO site here.

Time limit
3.5 hours

£50 per discretionary entry
free entry via qualification.
Sold individually

Age group
England, Wales and Overseas: Year 13 and below
Scotland: S6 or below
Northern Ireland: Year 14 or below

Challenge Date
Wednesday 24th January 2024

How it works


Register your school


Purchase entries


Sit challenge


Receive results

For full information on how to host the British Mathematical Olympiad Round 2 please visit the Challenge Handbook.

Preparing for the challenge

We are delighted to be working with Dr Frost Maths to help teachers use UKMT past papers and problems in the classroom.

You can utilise UKMT past papers, solutions and investigations as preparation materials for your students. They are a great resource containing high-quality problems from previous years designed to encourage mathematical thinking.


Full written solutions – not just answers – are required, with complete proofs of any assertions you may make. Work in rough first, and then draft your final version carefully before writing up your best attempt.

One or two complete solutions will gain far more credit than partial attempts at all four problems.

The use of rulers and compasses is allowed, but calculators and protractors are forbidden.

You should write in blue or black ink, but may use pencil and other colours for diagrams.

You may hand in rough work where it contains calculations, examples or ideas not present in your final attempt; write ‘ROUGH’ at the top of each page of rough work

To accommodate candidates in other time zones, please do not discuss any aspect of the paper on the internet until 8am GMT on Friday 26 January. Candidates in time zones more than 3 hours ahead of GMT must sit the paper on Thursday 26 January (as defined locally).

Around 24 high-scoring students eligible to represent the UK at the International Mathematical Olympiad, will be invited to a training session held in Cambridge around the Easter holidays.

Ready to join the
British Mathematical Olympiad Round 2

Past Papers

Download UKMT’s free past papers to help students achieve better results.

Maths Books

Browse UKMT’s range of maths books and older past papers on Amazon to help you and your students prepare for maths challenges.

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