The UKMT Teacher's Guide: Resources, Strategies, and Support for Mathematics Educators

Behind every student who discovers a love of mathematics, there is a teacher who made it possible. The United Kingdom Mathematics Trust (UKMT) understands this deeply. While its competitions are designed for students, its success depends entirely on the dedication of mathematics teachers across the United Kingdom. This guide is written specifically for educators — those who want to bring UKMT's rich world of mathematical enrichment into their classrooms, support their most able students, and discover the full range of resources available to them.

Teacher explaining mathematical concepts on whiteboard to students

The classroom is where mathematical curiosity begins — and where UKMT's resources come to life

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Getting Your School Registered with UKMT

Before your students can participate in any UKMT competition, your school must become a registered UKMT centre. The registration process is straightforward and free. Once registered, you gain access to the full suite of UKMT resources, including competition papers, past papers, video solutions, and the Primary Mathematics Resources programme.

To register, visit the UKMT website and complete the online registration form. You will need to provide basic information about your school, including its name, address, and the name of the teacher who will serve as the UKMT centre coordinator. The coordinator is the person responsible for entering students into competitions, downloading papers, and uploading answer sheets after each event.

A school building representing UKMT registered centres across the UK

Thousands of schools across the UK, Crown Dependencies, and British International Schools are registered UKMT centres

Eligible institutions include all schools in the United Kingdom (England, Wales, Scotland, and Northern Ireland), Crown Dependencies (Jersey, Guernsey, and the Isle of Man), and British International Schools worldwide. If you are unsure whether your school is already registered, you can check by contacting UKMT directly at enquiries@ukmt.org.uk.

Understanding the Competition Entry Process

Once your school is registered, entering students into competitions is simple. UKMT sells entry packs for each competition, with pricing structured to be affordable for schools of all sizes. The Junior Mathematical Challenge costs £16 per pack of 10 posted papers, or £15 per pack of 10 for download-and-print format. Similar pricing applies to the Intermediate and Senior challenges. Follow-on rounds such as the Kangaroo and Olympiad events have different pricing structures, with automatic qualifiers entered free of charge and discretionary entries available for purchase.

Students working in a mathematics classroom environment

From registration to results: the competition entry process is designed to be as smooth as possible for busy teachers

All UKMT competitions are now paper-format only. This means that question papers are either posted to your school or downloaded for printing, and answer sheets are completed by hand and then uploaded to the UKMT portal after the competition. The shift to paper-only format was made to ensure fairness and to replicate the experience of traditional examination conditions.

The Competition Handbook: Your Complete Administrative Guide

Every teacher who coordinates UKMT competitions should download and read the Competition Handbook. This comprehensive document covers every aspect of hosting a UKMT competition, from invigilation procedures to answer sheet handling, from accessibility arrangements to deadlines. It is updated annually and reflects the latest format changes, including the new 000-999 answer questions being trialled in the Senior Mathematical Challenge for 2026.

Mathematics books and resources for teachers

The Competition Handbook and UKMT publications: essential resources for every mathematics department

The handbook is available for free download from the UKMT website, accessible through each competition's page. It answers the vast majority of questions that teachers have about running competitions, and it is the first port of call when administrative queries arise.

Past Papers: The Most Powerful Teaching Tool Available

UKMT makes past papers freely available for all of its competitions, and these represent the single most valuable resource for teachers looking to develop their students' problem-solving skills. Each past paper contains carefully crafted problems that are designed to stretch mathematical thinking, and they come with complete solutions and mark schemes.

Student deeply engaged in mathematical problem-solving

Past papers: freely available, endlessly valuable, and the most effective preparation resource for every UKMT competition

Teachers can use past papers in many ways. Some use them as the basis for after-school maths clubs, working through problems collaboratively with students. Others set them as extension work for high-attaining students during regular lessons. Some departments run internal mock competitions using past papers, helping students become familiar with the format and time pressure of the real events. The key principle is that regular exposure to UKMT-style problems transforms students' mathematical thinking, regardless of whether they ultimately compete.

Video Solutions: Bringing Problems to Life

In addition to written solutions, UKMT provides video solutions for many past paper problems. These videos walk students through the problem-solving process step by step, modelling the kind of mathematical thinking that written solutions alone cannot convey. Teachers can use these videos in class, assign them as homework, or recommend them to students who want additional support.

Students using digital resources for mathematics learning

Video solutions: modelling expert problem-solving thinking that students can learn from at their own pace

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The Dr Frost Maths Partnership: Bringing UKMT into Your Classroom

UKMT has partnered with Dr Frost Maths, an online platform for mathematics teaching and learning, to help teachers integrate UKMT past papers and problems into everyday classroom teaching. Through this partnership, Dr Frost Maths provides tools that allow teachers to assign specific UKMT problems to individual students or whole classes, track progress, and provide targeted support.

This partnership is particularly valuable because it bridges the gap between enrichment and curriculum. Rather than treating UKMT competitions as an extra-curricular add-on, teachers can embed UKMT-style problems into their regular teaching, ensuring that all students — not just the most able — benefit from the kind of mathematical thinking that UKMT promotes.

Group of students studying mathematics together

The Dr Frost Maths partnership: bringing UKMT problems into everyday classroom teaching for all students

The Mentoring Scheme: A Resource for Your Most Able Students

If you have students who consistently excel in mathematics and crave further challenge, the UKMT Mentoring Scheme is an extraordinary opportunity. The scheme provides nine programmes of increasing difficulty, each named after a renowned mathematician, from Pythagoras (entry level) to Ramanujan (most advanced). Each programme consists of eight monthly problem sets, and students are paired with an experienced volunteer mentor who provides one-to-one guidance.

As a teacher, you can nominate one student per school for the mentor-led programmes (Hypatia through Ramanujan). Applications for the 2026/27 academic year close on 16th September 2026. The in-school programmes (Pythagoras, Hypatia, and Archimedes) can be accessed directly by registered UKMT centres through the documents section of your competition profile. These are designed for teachers to run within their own schools, with guidance materials provided.

Primary Mathematics Resources: Supporting the Transition from Primary to Secondary

For teachers in secondary schools who work with feeder primary schools, the Primary Mathematics Resources (PMR) programme is invaluable. Launched by a team of primary teachers and UKMT volunteers, the PMR provides materials designed to bridge the gap between primary and secondary mathematics education. The 2026 materials include investigative tasks, competition rounds (Crossnumber, Group, Logic, Make a Number, Relay, and Shuttle), and new mathematical craft and practical activities.

Secondary school teachers can use these resources to run competitions for local primary schools, provide materials for taster days and transition events, or give support and confidence to students early in their first year of secondary school. All PMR materials are aligned with the National Curriculum in England and the Scottish Curriculum for Excellence, and they are available for free download to registered UKMT centres.

Primary Mathematics Resources: helping secondary teachers support the transition from primary to secondary mathematics

UKMT Books: Curated Resources for the Classroom and Beyond

UKMT publishes a range of high-quality mathematics books that are available through their shop and on Amazon. These books contain curated collections of competition problems with detailed solutions, and they are organised by level and topic. Popular titles include First Steps for Problem Solvers, which provides an accessible introduction to competition mathematics, and the various bundle packages that group problems by theme.

The annual UKMT Yearbooks are particularly valuable for teachers. Each yearbook compiles the best problems from that year's competitions, complete with solutions and commentary. They serve as both a record of the Trust's work and a preparation resource for future years. Many teachers build their own library of UKMT publications over time, creating a comprehensive collection that they can draw on year after year.

Supporting Home-Educated Students

UKMT welcomes participation from home-educated students, and teachers at registered centres can play an important role in making this possible. Home-educated students may participate in UKMT competitions through any registered centre, at the school's discretion. If a home-educating family approaches your school, consider whether you can host their child for competitions. While you are not obliged to do so, many schools find this a rewarding way to support their local community.

Strategies for Building a Mathematical Culture in Your School

The most successful UKMT centres are those that have built a mathematical culture throughout their school. This goes beyond simply entering students for competitions — it involves creating an environment where mathematical thinking is valued, celebrated, and visible. Some strategies that effective departments use include running regular maths clubs where students work on UKMT-style problems collaboratively, celebrating success publicly through assemblies and newsletters when students achieve awards, displaying competition posters in corridors and classrooms, and encouraging older students to mentor younger ones in problem-solving techniques.

Team competitions such as the Team Maths Challenge and Senior Team Maths Challenge are particularly effective at building mathematical culture, because they create a sense of collective identity around mathematics. Students who represent their school in team competitions often become ambassadors for the subject, inspiring their peers to get involved.

The UKMT Newsletter and Professional Community

Teachers can stay connected to the UKMT community through the quarterly UKMT Newsletter, which is sent directly to subscribers. The newsletter provides updates on upcoming competitions, new resources, changes to format or policy, and highlights from recent events. Signing up takes just a moment and ensures that you never miss an important deadline or opportunity.

Beyond the newsletter, UKMT maintains an active presence on Instagram, Facebook, YouTube, and TikTok. These channels provide behind-the-scenes content, competition updates, and enrichment materials that teachers can share with their students and colleagues. The YouTube channel, in particular, hosts the video solutions that accompany past papers, as well as highlights from summer schools and other events.

Volunteering: Giving Back to the Mathematical Community

If you have the capacity and the desire, consider volunteering with UKMT. The Trust relies on hundreds of volunteers to deliver its programmes, from summer school session leaders to one-to-one mentors, from competition paper setters to markers. Volunteers come from a range of backgrounds — some are serving teachers, others are university students or recent graduates, and others are professionals who want to give back to mathematics education.

To express interest in volunteering, email volunteering@ukmt.org.uk. Whether you can commit a few hours per term or a full week during the summer schools, your contribution will make a meaningful difference to young people's mathematical development.

You are the heart of UKMT's mission.
Register your school and explore all resources at www.ukmt.org.uk

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A Year in the Life of UKMT: The Rhythm of Britain's Mathematical Calendar

The United Kingdom Mathematics Trust (UKMT) operates on a rhythm that echoes through every school in the United Kingdom. From the first competitions of autumn to the final award ceremonies of summer, the UKMT calendar shapes the mathematical lives of over 650,000 young people each year. This article follows that rhythm through the seasons, giving you a month-by-month guide to what happens, when it happens, and how students, teachers, and volunteers experience the UKMT year.

UKMT events throughout the year

The UKMT year: a rhythm of competitions, enrichment, and celebration that spans every month of the academic calendar

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Autumn Term: The Season of Challenges (September–December)

Autumn is when the UKMT year truly begins. As schools settle into the new academic year, the Trust launches its flagship competitions and opens applications for its most prestigious enrichment programmes.

September: The Mathematical Olympiad for Girls

The year opens with the Mathematical Olympiad for Girls (MOG) and the Mathematical Competition for Girls, both held on the same day in late September. These competitions set the tone for the year ahead, providing a dedicated platform for female mathematicians to demonstrate their abilities at the highest level.

Simultaneously, the Mentoring Scheme applications close (typically mid-September), with teachers having nominated their students for the year-long mentoring programmes. By the end of September, mentors and mentees are matched, and the first monthly problem sets begin.

October: The Senior Mathematical Challenge

The Senior Mathematical Challenge (SMC) is the highlight of the autumn term. Held in early October, this 90-minute competition attracts tens of thousands of students in Year 13 and below. It is UKMT's flagship individual competition and the gateway to the British Mathematical Olympiad.

Results are processed rapidly, with certificates sent to schools within weeks. The top scorers begin preparing for BMO Round 1, while others look forward to the Intermediate Mathematical Challenge in January.

November: The BMO and Senior Kangaroo

November brings two major events on the same day:

British Mathematical Olympiad Round 1 — Around 1,000 top SMC performers sit this fully written, proof-based examination

Andrew Jobbings Senior Kangaroo — An alternative follow-on from the SMC for creative mathematical thinkers

The atmosphere in schools during BMO week is electric. Students who have qualified for this round are among the best young mathematicians in the country, and the sense of occasion is palpable.

December: Results, Reflection, and Preparation

December is a quieter month in the UKMT calendar. BMO Round 1 results are released, and the top performers learn they have qualified for BMO Round 2 in January. Teachers use the holiday break to prepare students for the intermediate and junior challenges ahead, while students work through past papers and UKMT books.

Spring Term: The Intermediate Season (January–March)

The spring term is the busiest period in the UKMT calendar, with the intermediate-level competitions dominating January and March, and BMO Round 2 providing the climax of the senior olympiad season.

January: BMO Round 2 and the Intermediate Mathematical Challenge

January packs two major events into a single month:

British Mathematical Olympiad Round 2 (late January) — The most demanding written examination in the UKMT calendar, serving as the final selection stage for the UK IMO team

Intermediate Mathematical Challenge (IMC) (late January) — One of UKMT's largest competitions, attracting hundreds of thousands of students in Year 11 and below

The IMC is particularly significant because it serves as the gateway to the National Mathematics Summer School. Invitations to summer school are sent to students in the top 1.5% of IMC results, making this competition a life-changing event for those who excel.

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February: Mentoring Continues and Summer School Invitations

February is a month of anticipation. Summer school invitation letters arrive at schools in March, but the selection process is based on IMC results from January. Meanwhile, the mentoring scheme continues with the second set of monthly problem sheets being distributed to mentees across all nine levels.

UKMT mentoring scheme continuing through spring term

February: the mentoring scheme continues — students work through their second monthly problem set with guidance from their volunteer mentors

March: The Olympiad Festival

March is perhaps the most diverse month in the UKMT calendar. On a single day in mid-March, five competitions take place simultaneously:

Grey Kangaroo and Pink Kangaroo — Intermediate multiple-choice follow-ons

Cayley Mathematical Olympiad — Written olympiad for intermediate students

Hamilton Mathematical Olympiad — A more challenging intermediate olympiad

Maclaurin Mathematical Olympiad — The highest intermediate-level olympiad

March olympiad festival — Cayley, Hamilton, and Maclaurin competitions

March: the olympiad festival — five intermediate competitions run simultaneously, offering every student an appropriate challenge level

This concentration of events means that March is a celebration of intermediate-level mathematics. Schools with strong maths departments may have students participating in multiple events on the same day, creating a festival atmosphere.

Summer Term: The Junior Season and Grand Finale (April–July)

The summer term brings the UKMT year to its conclusion with the junior competitions, the National Mathematics Summer School, and the Team Maths Challenge National Finals.

April–May: The Junior Mathematical Challenge

The Junior Mathematical Challenge (JMC) takes place in early May, bringing the competition season to students in Year 8 and below. This is often the first competition experience for many young mathematicians, and the atmosphere in schools is one of excitement and anticipation.

Shortly after, the Junior Kangaroo and Junior Mathematical Olympiad (JMO) provide follow-on opportunities for the strongest junior performers. The JMO, in particular, is a transformative experience — students encounter written proof-based questions for the first time, and many describe it as the moment they fell in love with mathematics.

June: The Team Maths Challenge National Final

June brings one of the most spectacular events in the UKMT calendar: the Team Maths Challenge National Final. Teams of four students from schools across the country compete head-to-head in Crossnumber, Relay, Shuttle, and Group rounds, with the atmosphere of a sporting championship.

The National Final is a highlight not just for the competitors but for the entire UKMT community. It showcases the collaborative, communicative, and strategic dimensions of mathematics that team competitions uniquely develop.

July: Summer Schools and the Year's Climax

July is the climax of the UKMT year. The National Mathematics Summer Schools (NMSS) take place — week-long residential events where the top 1.5% of intermediate mathematicians come together for an intensive programme of mathematical exploration.

National Mathematics Summer School in July

July: the National Mathematics Summer School — the pinnacle of the UKMT year, where the country's brightest young mathematicians gather for a week of mathematical discovery

The summer school experience is transformative. Students describe it as "a truly unique and unforgettable week" where they are "surrounded by keen mathematicians, both older and the same age." For many, it is the moment they decide to pursue mathematics at university.

The mentoring scheme also concludes in July, with the final set of problem sheets submitted and certificates awarded to all participants across the nine levels.

The Year at a Glance

Month Key Events Season
Sep MOG, Mathematical Competition for Girls, Mentoring applications close Autumn
Oct Senior Mathematical Challenge Autumn
Nov BMO Round 1, Senior Kangaroo Autumn
Dec BMO R1 results, preparation period Autumn
Jan BMO Round 2, Intermediate Mathematical Challenge Spring
Feb Mentoring continues, summer school selection Spring
Mar Grey/Pink Kangaroo, Cayley/Hamilton/Maclaurin Olympiads Spring
May Junior Mathematical Challenge Summer
Jun Junior Kangaroo/JMO, Team Maths Challenge National Final Summer
Jul National Mathematics Summer Schools, mentoring concludes Summer

The Emotional Rhythm of the UKMT Year

Beyond the calendar of events, the UKMT year has an emotional rhythm that every participant recognises:

September: Anticipation. A new year begins, new challenges await, and the mentoring scheme launches.

October: Intensity. The SMC arrives, and the entire senior cohort focuses on 90 minutes of mathematical thinking.

November: Prestige. BMO Week carries a sense of occasion — these are the students who have proven themselves at the highest level.

January: Mass participation. The IMC brings hundreds of thousands of students into the competition ecosystem simultaneously.

March: Festival. Five competitions in one day create a celebration of intermediate mathematics.

May: Innovation. The JMC introduces the youngest competitors to the thrill of mathematical challenge.

June: Teamwork. The TMC National Final showcases collaboration and communication.

July: Culmination. The summer schools and mentoring conclusion bring the year to its emotional and intellectual peak.

The emotional journey of a UKMT competition year

The emotional rhythm: from anticipation in September to culmination in July — every student experiences the full journey

How to Stay Connected Throughout the Year

To make the most of the UKMT year, here are some tips for staying engaged:

Sign up for UKMT News — The quarterly newsletter provides updates on upcoming competitions, deadlines, and new resources

Follow UKMT on social media — Instagram, Facebook, YouTube, and TikTok for real-time updates and behind-the-scenes content

Download past papers — Available year-round from the UKMT website, perfect for preparation at any time

Visit the UKMT shop — Books and resources are available throughout the year, with new titles added periodically

Register your school early — Don't wait until October to register — do it in summer so you're ready for the autumn competitions

UKMT news and communications throughout the year

Stay connected: sign up for UKMT News and follow on social media to never miss a moment of the mathematical year

The UKMT year begins again every September.
Will your child be part of it?
www.ukmt.org.uk

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