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    Senior Mathematical Challenge

    by UK Maths Trust

    A school-based maths challenge testing creative problem-solving through a timed paper of multiple-choice and three-digit-answer questions.

    Last verified: 18 Aug 2026Reviewed by:SSSean Stevens
    Senior Mathematical Challenge

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    Senior Mathematical Challenge at a glance: cost, dates and eligibility

    Current status

    Open now

    Eligibility

    Year 13 or equivalent and below

    Age range / Year group

    Up to 18

    Location / Region

    Global

    Cost

    £15 per 10; £16 per 10

    Prize highlight

    Certificates and follow-on rounds

    Entry format

    School-based paper

    Deadline

    7 October 2026

    Save deadline

    Senior Mathematical Challenge summary

    The Senior Mathematical Challenge is a timed UKMT paper built to reward mathematical thinking rather than routine calculation.

    Students tackle 22 multiple-choice problems and three questions requiring three-digit answers, with difficulty increasing through the paper.

    It suits students who enjoy unfamiliar problems and can make careful decisions about which questions to attempt.

    What is Senior Mathematical Challenge?

    The Senior Mathematical Challenge is UKMT's first-round challenge for older school students. It focuses on stimulating mathematical problems designed to make both beginners and experienced problem-solvers think beyond routine classroom exercises.

    Students complete a paper containing 22 multiple-choice questions and three questions answered with three digits. The paper becomes harder as it progresses, so the practical experience involves reasoning accurately, choosing questions strategically and resisting unproductive guessing.

    Why Succeed highlights Senior Mathematical Challenge

    • The problems are explicitly designed to develop mathematical thinking rather than test routine calculation alone.

    • The paper offers accessible starting points while still challenging experienced problem-solvers.

    • Free past papers provide a clear and credible way to prepare.

    • Every participant can receive a certificate, while high scorers gain tiered recognition.

    • Leading eligible students can progress to the Senior Kangaroo or British Mathematical Olympiad Round 1.

    Who is Senior Mathematical Challenge for?

    Best for

    Students who enjoy non-routine maths problems and want a timed test of reasoning, accuracy and question selection.

    Not ideal if

    You need an individual home entry or prefer calculator-based, coursework-style mathematics.

    Is Senior Mathematical Challenge worth it?

    Yes, if you want a focused test of mathematical reasoning with a well-established paper format and accessible preparation materials. The certificates and potential follow-on qualification offer meaningful recognition without changing the core value of tackling interesting problems.

    The main limitation is that entry depends on a registered institution, so students cannot simply submit an individual application. The timed, no-calculator format may also reward specific competition technique as well as mathematical ability.

    How much preparation does Senior Mathematical Challenge need?

    Effort level

    Moderate

    Best started

    Four to six weeks before the competition.

    Main challenge

    Choosing which increasingly difficult questions to attempt.

    Typical preparation

    • Complete a past paper without timing to learn the question style.

    • Repeat under the 90-minute limit and review every error.

    • Practise careful selection instead of trying to finish every question.

    • Rehearse without calculators, measuring instruments or squared paper.

    Useful if

    You want to strengthen non-routine mathematical problem-solving.

    What do students do on Senior Mathematical Challenge?

    Your school organises a supervised paper, then uploads the completed answer sheets for marking. Students solve the questions independently under exam conditions.

    Step-by-step process

    1. 1

      A registered UKMT centre purchases the required entry packs.

    2. 2

      The school prepares named answer sheets and obtains the question papers.

    3. 3

      Students sit the paper under supervised exam conditions.

    4. 4

      The school scans and uploads the completed answer sheets.

    5. 5

      Results and certificates are downloaded through the Competition Profile.

    Senior Mathematical Challenge dates and deadlines

    Accessible paper order

    9 September 2026

    Braille or large-print papers

    Upcoming

    Posted paper purchase

    16 September 2026

    For physical question papers

    Upcoming

    Download paper purchase

    7 October 2026

    Latest entry-purchase point

    Upcoming
    Save deadline

    Competition date

    7 October 2026

    Senior Mathematical Challenge paper

    Upcoming

    Answer sheet upload

    8 October 2026

    By 11:59pm

    Upcoming

    Eligibility and requirements

    • Year 13 or below in England, Wales and overseas

    • S6 or below in Scotland

    • Year 14 or below in Northern Ireland

    • Entries made by registered UKMT centres

    • Normally sat at school under exam conditions

    How much does Senior Mathematical Challenge cost?

    Download and print

    £15 per pack of 10 — School prints the papers

    Potential funding / awards

    • Posted papers: £16 per pack of 10 — Question papers sent to school

    How to enter Senior Mathematical Challenge

    1. 1

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

    2. 2

      If necessary, the institution registers for a UKMT centre account.

    3. 3

      A school coordinator signs in to the Competition Profile.

    4. 4

      The coordinator selects the competition and enters the student quantity.

    5. 5

      The school chooses posted or download-and-print papers and places the order.

    6. 6

      The coordinator prepares answer sheets before the competition.

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

    Start your entry checklist

    Submission requirements

    Students complete the official paper independently under supervised exam conditions.

    • Use a B or HB non-propelling pencil

    • Blank paper allowed for rough working

    • No squared paper

    • No calculators or measuring instruments

    • Official paper answer sheet required

    • School uploads scanned answer sheets

    Prizes and recognition

    Participation certificate

    Participants outside the higher scoring group receive a certificate.

    Bronze Silver Gold

    The top-scoring 66% receive tiered certificates in a 3:2:1 ratio.

    Year and school badges

    Best in Year and Best in School appear on certificates.

    BMO1 qualification

    Approximately 1,000 eligible top scorers qualify.

    Senior Kangaroo qualification

    Approximately the next 8,000 qualify from UK schools.

    What this may help with

    Demonstrating sustained mathematical problem-solving and progression.

    What it does not guarantee

    University admission or qualification for a follow-on round.

    Judging criteria

    • 125 marks available in total
    • 25 points awarded at the start
    • 4 marks for each correct answer
    • 1 mark deducted for each incorrect answer
    • 0 marks for each blank answer

    Certificate and follow-on thresholds vary by year according to overall performance.

    How to stand out

    1. Use past papers to recognise recurring styles of non-routine reasoning.
    2. Build accuracy before increasing your solving speed.
    3. Skip an unproductive question and return if time remains.
    4. Treat guessing cautiously because incorrect answers lose marks.
    5. Expect the later questions to require more time and experimentation.
    6. Review solutions after practice to learn alternative approaches.

    Senior Mathematical Challenge FAQs

    It is a UKMT first-round paper designed to test mathematical thinking through stimulating, increasingly difficult problems.

    The 2026 paper contains 22 multiple-choice questions and three questions requiring three-digit answers.

    No. Calculators and measuring instruments are forbidden.

    Yes. Blank paper is allowed for rough working, but squared paper is not permitted.

    No. A registered UKMT centre must purchase and administer the entry.

    Students normally sit it at school under strict exam conditions. Alternative venues require approval where they reflect public-examination access arrangements.

    UKMT provides free past papers, while Dr Frost Maths offers access to past problems and related classroom resources.

    The school scans and uploads answer sheets. Results and certificates are later made available through its Competition Profile.

    Alternatives to Senior Mathematical Challenge

    Compare these mathematics and problem-solving competitions if you want a different format, location or age range.

    Alternatives to Senior Mathematical Challenge

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    15 Apr 2027
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    11-19

    Best for

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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.

    View author page

    Sources and verification

    Source types reviewed

    • Competition Handbook - Order T&Cs
    • Competition Handbook - Access Arrangements
    • Competition Handbook - FAQs
    • Competition Handbook - Quick-Step Guide
    • Competition Handbook - UKMT Competitions
    • Senior Mathematical Challenge Awards - UKMT
    • Register your school - UKMT
    • Competition Calendar 2026-27 - UKMT
    • Senior Mathematical Challenge - 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

    • Purchase deadlines checked

    • Eligibility reviewed

    • Paper format confirmed

    • Prices compared

    • Scoring rules checked

    • Awards reviewed

    • Entry process verified

    How Succeed uses this information

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