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