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What is UKBMO?

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As a follow-on Round to the Senior Maths Challenge, the British Mathematical Olympiad (BMO) Round 1 are 3.5 hour Olympiad consisting of six Olympiad style problems. 

Challenge date :

Thursday 16th November 2023


Closing date of registering: 5 November 2023

When registering multiple students, complete a separate registration form for each student, and ensure that you use a different email for each student.

Thanks for submitting!

Fees for the UKBMO is $300 per student.

Eligible year groups: Year 13 and below

Exam: paper based

Calculators are NOT permitted.


Name of Account: Pinnacle Education Group

Account: 06-0241-0684634-00


Please make payment with the students 'full name + UKBMO ' as reference.

⚠️ Please note that any fees and payments made are non-refundable.

⚠️ Before you make any payment, make sure you read through the refund policy on our website to avoid misunderstandings.

(Terms and conditions apply).

It encourages mathematical reasoning, precision of thought, and fluency in using basic mathematical techniques to solve interesting problems.


The problems on the BMO are designed to make students think. Most are accessible, yet still challenge those with more experience.

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Please note: If you registered after the deadline, the fees will be doubled.

PGA reserves the right to interpret all competition and course arrangements.

Competition format

The Senior Mathematical Challenge is a 3.5 hour challenge, consisting of six Olympiad style problems.

Invitation-only competition

The top approximately 1,000 participants in the Senior Mathematical Challenge (UKSMC) will be invited to take part in the first round of the British Mathematical Olympiad (BMO1). Students from the UK education system who have not received invitations can also participate by paying a substantial entry fee.

BMO2 participants are those who ranked in the top 100 in BMO Round 1 and achieved high scores, making them eligible to represent the UK in the International Mathematical Olympiad (IMO). They will be invited to compete in BMO Round 2, while the remaining students can participate as Discretionary Candidates after paying the required fee.

Topics covered (but not limited to)

  • Numberwork

  • Geometry

  • Circles

  • Equations

  • Indices/Surds

  • Angles

  • Fractions

  • Combinations/Probability

  • 3D shapes

  • Trigonometry

  • Ratio

  • Percentage

  • Prime Numbers

  • Logic

  • Averages

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  • Certificate of Distinction: Students who rank in the top 25% in both BMO1 and BMO2 will receive this award.

  • Certificate of Qualification: The remaining students will be eligible for this award.

Note: Only BMO1 will recognize approximately the top 100 high-scoring students with Gold, Silver, and Bronze awards in a 1:2:3 ratio; discretionary awards. Non-invited participants are eligible only for the Certificate of Distinction.

  • Christopher Bradley Elegance Prize: Awarded to one or more exceptionally outstanding participants, or may not be awarded at all, with a prize of £500.

Note: The Christopher Bradley Elegance Prize is only awarded during the BMO2 stage.

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