Competition

    Intermediate Mathematical Challenge

    by UK Maths Trust

    A school-based maths challenge built around careful reasoning, precision and problem-solving through an increasingly demanding multiple-choice paper.

    Last verified: 18 Aug 2026Reviewed by:SSSean Stevens
    Intermediate Mathematical Challenge
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    Intermediate Maths Challenge at a glance: cost, dates and eligibility

    Current status

    Open now

    Eligibility

    Registered UKMT centres

    Age range / Year group

    Year 11 and below

    Location / Region

    At participating schools

    Cost

    £15-£16 per 10 entries

    Prize highlight

    Certificates and follow-on rounds

    Entry format

    Paper, school supervised

    Deadline

    27 January 2027

    Save deadline

    Intermediate Maths Challenge summary

    This is a timed UKMT paper designed to reward mathematical reasoning, precision and fluent problem-solving rather than routine calculation.

    Students tackle 25 multiple-choice questions arranged approximately from easier to harder, with negative marking on some later questions.

    It suits confident young mathematicians who enjoy unfamiliar problems and can make careful decisions under time pressure.

    What is Intermediate Mathematical Challenge?

    The Intermediate Mathematical Challenge is a UK Mathematics Trust competition that tests reasoning, precision and problem-solving through 25 multiple-choice questions. The problems are intended to be broadly accessible while still stretching more experienced students.

    Students complete the paper at school under exam conditions. Questions become harder towards the end, so the experience tests judgement and accuracy as well as mathematical fluency.

    Why Succeed highlights Intermediate Maths Challenge

    • The problems emphasise reasoning and careful thought rather than calculator-driven computation.

    • The difficulty rises through the paper, allowing broad participation while still distinguishing exceptional performance.

    • Free past papers and solutions give students a clear, official preparation route.

    • Every participant can receive a certificate, while high scorers may progress to Olympiad or Kangaroo rounds.

    • Published scoring rules make the trade-off between attempting and skipping harder questions unusually transparent.

    Who is Intermediate Maths Challenge for?

    Best for

    Students who enjoy non-routine mathematics, work accurately under time pressure and want a nationally recognised problem-solving benchmark.

    Not ideal if

    Your school cannot host the paper under exam conditions, or you prefer extended written solutions to multiple-choice problem-solving.

    Is Intermediate Maths Challenge worth it?

    Yes, for students who enjoy mathematical problem-solving, the Challenge offers a focused test with clear scoring and strong official preparation materials. Certificates and potential follow-on qualification provide meaningful recognition without requiring a long project.

    Its main limitation is that one timed multiple-choice paper captures only part of mathematical ability. The school-only entry route also means interested students depend on a registered centre to organise participation.

    How much preparation does Intermediate Maths Challenge need?

    Effort level

    Moderate.

    Best started

    Four to six weeks before the competition.

    Main challenge

    Choosing which later questions to attempt without careless guessing.

    Typical preparation

    • Complete a recent past paper without a calculator to establish a baseline.

    • Review every error and identify whether it came from reasoning, calculation or time pressure.

    • Practise skipping difficult questions and returning only when time allows.

    • Finish with a timed paper using the official equipment rules.

    Useful if

    You want to strengthen mathematical reasoning and timed decision-making.

    What do students do on Intermediate Maths Challenge?

    A school coordinator handles entry and materials, while students complete the paper under exam conditions. The school then scans and uploads answer sheets for marking.

    Step-by-step process

    1. 1

      The school registers or uses an authorised UKMT Competition Profile.

    2. 2

      A coordinator purchases posted papers or downloadable papers for school printing.

    3. 3

      The school prepares named answer sheets and question papers.

    4. 4

      Students complete 25 multiple-choice questions under exam conditions.

    5. 5

      The school scans and uploads the completed answer sheets.

    6. 6

      Results and certificates are downloaded through the Competition Profile.

    Intermediate Maths Challenge dates and deadlines

    Accessible paper order

    30 December 2026

    Braille or large-print papers

    Upcoming

    Posted paper purchase

    6 January 2027

    For physical question-paper delivery

    Upcoming

    Download purchase

    27 January 2027

    School prints the question papers

    Upcoming
    Save deadline

    Competition date

    27 January 2027

    The 60-minute Challenge

    Upcoming

    Answer sheet upload

    28 January 2027

    By 11:59pm

    Upcoming

    Eligibility and requirements

    • Entry through a registered UKMT centre

    • England, Wales and overseas: Year 11 or below

    • Scotland: S4 or below

    • Northern Ireland: Year 12 or below

    • Normally taken at school under exam conditions

    • Overseas schools must meet UKMT registration requirements

    How much does Intermediate Maths Challenge cost?

    Download and print

    £15 per 10 entries — Question papers printed by the school

    Potential funding / awards

    • Posted papers: £16 per 10 entries — Question papers delivered to eligible UK schools

    How to enter Intermediate Maths Challenge

    1. 1

      Ask a school coordinator to confirm that the institution is an authorised UKMT centre.

    2. 2

      Register a coordinator account and request authorisation if the school has no active account.

    3. 3

      Open the school Competition Profile and select a new order.

    4. 4

      Enter the number of participating students and choose posted or downloadable papers.

    5. 5

      Accept the terms and place the order using the available invoice or card options.

    6. 6

      Prepare student 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

    Intermediate Maths Challenge submission requirements

    Students complete the official paper at school, and the coordinator submits scanned answer sheets through the Competition Profile.

    • 25 multiple-choice questions

    • Paper format only

    • B or HB non-propelling pencil

    • Blank paper allowed for rough work

    • No squared paper

    • No calculators or measuring instruments

    • Strict exam conditions

    • Scanned answer sheets under 14MB per upload

    Intermediate Maths Challenge prizes and recognition

    Gold certificate

    Awarded within the top-scoring 50% using a 1:2:3 Gold, Silver and Bronze ratio.

    Silver certificate

    Awarded within the top-scoring 50% using the published certificate ratio.

    Bronze certificate

    Awarded within the top-scoring 50% using the published certificate ratio.

    Participation certificate

    Awarded to participants outside the higher certificate bands.

    Follow-on invitation

    Leading scorers may qualify for an age-appropriate Olympiad or Kangaroo.

    What this may help with

    Demonstrating sustained interest and attainment in mathematical problem-solving.

    What it does not guarantee

    University admission or automatic progression beyond the published qualification thresholds.

    How the Intermediate Maths Challenge is scored

    • Questions 1-15: 5 marks for each correct answer
    • Questions 16-25: 6 marks for each correct answer
    • Questions 16-20: 1 mark lost for each incorrect answer
    • Questions 21-25: 2 marks lost for each incorrect answer
    • Blank answers: 0 marks
    • Maximum score: 135 marks

    Certificate and follow-on qualification thresholds vary by year.

    How to stand out in the Intermediate Maths Challenge

    1. Practise with official past papers so unfamiliar problem styles feel manageable.
    2. Secure accurate marks on the earlier questions before tackling the hardest section.
    3. Write enough rough working to catch hidden assumptions and arithmetic slips.
    4. Treat negative marking strategically and avoid unsupported guesses on later questions.
    5. Track time by question band rather than spending too long on one puzzle.
    6. Review solutions after practice and reconstruct the shortest valid reasoning path.

    Intermediate Maths Challenge FAQs

    It tests mathematical reasoning, precision, fluency and problem-solving through mostly accessible questions that become more challenging later in the paper.

    Students answer 25 multiple-choice questions in 60 minutes. The questions are arranged in approximate order of difficulty.

    Yes. Incorrect answers to questions 16-20 lose one mark, while incorrect answers to questions 21-25 lose two marks. Blank answers score zero.

    No. Calculators and measuring instruments are forbidden. Students may use blank paper for rough working.

    No. UKMT competition entry normally comes from a registered UKMT centre rather than an individual student, parent or private tutor.

    Official past papers, solutions and investigations are the clearest preparation resources. Students should practise careful reasoning and learn when to leave a difficult question unanswered.

    Students outside the Bronze, Silver and Gold bands receive a Certificate of Participation. Best-in-Year and Best-in-School distinctions can also appear on certificates.

    Yes. UKMT honours school access arrangements such as extra time and can provide Braille or large-print papers when requested sufficiently early.

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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 - Solutions, Results & Qualifiers
    • Competition Handbook - FAQs
    • Competition Handbook - Access Arrangements
    • Competition Handbook - Order T&Cs
    • Competition Handbook - New Account Registration
    • Competition Handbook - Quick-Step Guide
    • Competition Handbook - UKMT Competitions
    • Intermediate Mathematical Challenge Awards - UKMT
    • Competition Calendar 2026-27 - UKMT
    • Intermediate 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

    • Entry deadlines checked

    • Eligibility reviewed

    • Costs cross-checked

    • Scoring rules reviewed

    • Awards verified

    • School process checked

    • Access arrangements reviewed

    How Succeed uses this information

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