Competition

    British Mathematical Olympiad Round 1

    by UK Maths Trust

    A demanding proof-based mathematics competition that rewards rigorous reasoning and can lead into training and selection for international competitions.

    Last verified: 18 Aug 2026Reviewed by:SSSean Stevens
    British Mathematical Olympiad Round 1
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    British Mathematical Olympiad at a glance: cost, dates and eligibility

    Current status

    Open now

    Eligibility

    Full-time secondary students

    Age range / Year group

    Year 13 or below

    Location / Region

    Registered UKMT exam centres

    Cost

    Free qualifiers; £40 discretionary

    Prize highlight

    Prizes for best entries

    Entry format

    Six full written solutions

    Deadline

    19 November 2026

    Save deadline

    British Mathematical Olympiad summary

    This is a demanding mathematics Olympiad built around rigorous proof rather than short numerical answers.

    Students have six unfamiliar problems and must decide where to invest their time, develop complete arguments and present them clearly.

    It suits confident problem-solvers who enjoy working beyond routine syllabus questions and are prepared to practise proof writing.

    What is British Mathematical Olympiad Round 1?

    The British Mathematical Olympiad Round 1 is UKMT's first national Olympiad round and a follow-on from the Senior Mathematical Challenge. Its six problems test whether students can develop complete mathematical arguments rather than select or state answers.

    The paper is run by schools under exam conditions, with students writing full solutions that are later scanned and submitted for marking. Strong performance can provide a route into further training and selection activity connected with international mathematics competitions.

    Why Succeed highlights British Mathematical Olympiad

    • The requirement for complete proofs tests depth of reasoning rather than speed alone.

    • Six substantial problems force students to make strategic choices about where to focus.

    • Free past papers and solutions provide a clear, academically useful preparation route.

    • The competition can lead into advanced training and international selection pathways.

    • Schools can enter suitable students discretionarily as well as through SMC qualification.

    Who is British Mathematical Olympiad for?

    Best for

    Strong secondary-school mathematicians who enjoy unfamiliar problems, proof and sustained independent reasoning.

    Not ideal if

    You prefer multiple-choice questions, rely heavily on calculators or have not yet practised writing complete proofs.

    Is British Mathematical Olympiad worth it?

    It is worth considering for students who want an authentic test of advanced mathematical reasoning. Preparing through past Olympiad papers can build proof-writing discipline and expose weaknesses that routine classroom exercises may not reveal.

    The limitation is that the paper is exceptionally demanding, and an incomplete score may not reflect the full value of the preparation. It is most useful when treated as a learning project rather than solely as a route to an award or later selection.

    How much preparation does British Mathematical Olympiad need?

    Effort level

    High.

    Best started

    Begin regular past-paper practice several months before the sitting.

    Main challenge

    Turning promising ideas into complete, rigorous proofs.

    Typical preparation

    • Attempt past problems without time pressure and compare every solution with the official approach.

    • Practise writing one polished proof from rough work, checking that each assertion is justified.

    • Add timed sessions gradually, focusing on completing a small number of problems well.

    Useful if

    You already enjoy non-routine mathematical problem solving.

    What do students do on British Mathematical Olympiad?

    You sit a supervised paper and develop full written solutions to six Olympiad problems. Your school scans the completed answer sheets and submits them for marking.

    Step-by-step process

    1. 1

      Your school confirms an automatic or discretionary entry.

    2. 2

      The school downloads and prints the question paper and answer sheets.

    3. 3

      You work on six problems under strict exam conditions.

    4. 4

      You write final solutions with complete proofs and clear diagrams where useful.

    5. 5

      Your school scans, checks and uploads the paper answer sheets.

    6. 6

      Results, feedback and certificates are accessed through the Competition Profile.

    British Mathematical Olympiad dates and deadlines

    Competition sitting

    18 November 2026

    The 3.5-hour Olympiad paper.

    Upcoming

    Answer sheets due

    19 November 2026

    Schools must upload paper scripts by 11:59pm.

    Upcoming
    Save deadline

    Eligibility and requirements

    • Students must be in full-time secondary education.

    • England, Wales and overseas: Year 13 or below.

    • Scotland: S6 or below.

    • Northern Ireland: Year 14 or below.

    • Students must sit at a registered UKMT exam centre.

    • SMC qualifiers are invited automatically.

    • Schools may purchase discretionary entries for other eligible students.

    • Individuals, parents and private tutors cannot enter directly.

    How much does British Mathematical Olympiad cost?

    Competition entry

    Free qualifiers; £40 discretionary — Qualifying entries are processed automatically.

    How to enter British Mathematical Olympiad

    1. 1

      Ask your school whether it is registered as a UKMT centre.

    2. 2

      Confirm whether you have qualified through the Senior Mathematical Challenge.

    3. 3

      If needed, ask the school coordinator to purchase a discretionary entry.

    4. 4

      The coordinator adds your details and year-group code to the Competition Profile.

    5. 5

      The school downloads and prints the required paper and answer sheets.

    6. 6

      Sit the paper under the school's approved exam arrangements.

    Save this competition in Succeed, keep the deadline visible, and track your progress before you submit.

    Start your entry checklist

    Submission requirements

    The paper rewards complete mathematical communication, not unsupported final answers.

    • Full written solutions for attempted problems

    • Complete proofs for every assertion

    • Blue or black ink for written work

    • Pencil or colour permitted for diagrams

    • No calculators or protractors

    • Rulers, set squares and compasses permitted

    • Scanned paper answer sheets uploaded by school

    • Upload files no larger than 14MB each

    Prizes and recognition

    Best entries

    Prizes are awarded for the best entries.

    What this may help with

    demonstrating advanced mathematical reasoning and proof-writing experience.

    What it does not guarantee

    progression to later training or international selection.

    Judging criteria

    • Full written reasoning rather than answers alone
    • Complete proofs for every assertion
    • Depth and completeness over many partial attempts
    • Careful final presentation after rough work
    • Accurate diagrams where geometry requires them

    Detailed weighting is not published.

    How to stand out

    1. Choose problems strategically and invest time where you can build a complete argument.
    2. Write every logical step explicitly instead of assuming the marker will infer it.
    3. Use rough work to test ideas before producing a clean final proof.
    4. Prioritise one finished solution over fragments from several problems.
    5. Draw large, accurate geometry diagrams with permitted instruments.
    6. Review past solutions to learn concise, rigorous proof structures.

    British Mathematical Olympiad FAQs

    It is a UKMT Olympiad paper comprising six problems that require complete written solutions. It also forms an entry point to further training and international selection activity.

    It is designed to challenge high-performing Senior Mathematical Challenge students. Success depends on sustained problem solving and proof writing rather than routine calculation.

    No. UKMT invites qualifying SMC students, while schools may purchase discretionary entries for other eligible students.

    No. UKMT accepts entries from registered centres rather than individual students, parents or private tutors.

    Yes, overseas schools may enter Olympiads. Students still need an eligible school entry and must follow UKMT's exam-centre and scheduling requirements.

    No. Calculators and protractors are forbidden, but rulers, set squares and compasses are permitted.

    Use UKMT past papers, write complete proofs and compare your work with published solutions. Practise untimed first, then introduce timed papers as your proof writing improves.

    Not necessarily. UKMT explicitly advises that one complete solution can earn much more credit than partial attempts at all six problems.

    Alternatives to British Mathematical Olympiad

    Compare these published opportunities if you want a different mathematics format, entry structure or academic emphasis.

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    Sean Stevens

    Content reviewed by

    Sean Stevens

    Co-founder, Succeed | Founder, Immerse Education (2012–2026)

    Sean works at the intersection of academic enrichment, programme quality and university preparation, with expertise in evaluating pre-university experiences for ambitious secondary school students.

    Sources and verification

    Source types reviewed

    • Competition Handbook - Access Arrangements
    • Competition Handbook - Order T&Cs
    • Competition Handbook - FAQs
    • Competition Handbook - Quick-Step Guide
    • Competition Handbook - UKMT Competitions
    • BMOS/BMOC: Policy on Eligibility
    • Competition Calendar 2026-27 - UKMT
    • British Mathematical Olympiad Round 1 - UKMT

    Succeed uses official provider information where available, but keeps this public page focused on comparison and planning inside Succeed.

    What we verified (on 18 Aug 2026)

    • Competition date checked

    • Format and duration verified

    • Eligibility policy reviewed

    • Entry route confirmed

    • Cost checked

    • Submission deadline checked

    • Exam rules reviewed

    How Succeed uses this information

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