Join Ritangle, the ultimate maths competition, a challenging team competition that is free to join, created for students of:
How it works
Registration
October
Teams can register for the competition when the first question is released via social media and on our website.
Stage 1
October – December
Initially, questions are released weekly, building up to three per week.
Every correct answer reveals a piece of information that helps unlock the Final task.
Stage 2 and Final Task
December
Final challenges released.
Use the information you’ve gained from solving the previous questions to reveal and solve the Final Task.
What can you win?
The prize for the winning team is usually a maths hamper, containing a mix of prizes for individual team members and their school or college.
It includes a free year-long subscription to MEI’s Learning Platform Integral, and a trophy for the school or college of the winning team!

Using technology for problem-solving
You may have never used technology to solve a mathematical problem before, but it can be extremely helpful – it can illuminate aspects of the problem that you may not have otherwise noticed, and it can be great fun.
Technology can certainly help with some of the questions in Ritangle. This can range from spreadsheets to graphing software, through to coding. You might also find Computer Algebra Systems helpful – these can perform algebraic processes in the same way that calculators carry out arithmetic.
However, please note that the use of AI is not permitted.

Artificial Intelligence and Ritangle
To maintain academic integrity and ensure a fair and level playing field for all participants, the use of tools, software or platforms that are AI-based or have an AI element (such as ChatGPT and Wolfram Alpha) to generate, solve, or assist with answers during any part of the competition is prohibited.
By submitting Ritangle answers, students affirm that all work is their own and has been completed without the use of AI. At the end of the competition, the leading teams will be asked to submit their working to all questions, and the timestamp attached to the submission of each answer will be considered in the context of this working.
Ritangle is an opportunity to showcase your team’s abilities—please uphold the spirit of honest competition.

Ritangle 2025
This year’s competition
1,854
Active teams
454
reached stage 3
23
countries involved
Ritangle 2025
Ritangle 2025 launched on 8 October and saw over 1,800 teams register, tackling a series of mathematical challenges over ten weeks in a bid to be crowned Ritangle 2025 champions. This year’s competition saw an exceptional level of engagement, with 1,854 active teams from 23 countries taking part.
We offer our sincere congratulations to the 454 teams who successfully unlocked Stage 3, a significant achievement that reflects both persistence and mathematical insight.
From these, over 150 teams submitted work of a commendable standard in response to the demanding Stage 3 challenge. Their submissions demonstrated creativity, rigour and a strong grasp of the underlying mathematical ideas.
Teams and teachers who wish to revisit the earlier stages of the competition can download the solutions as a PDF below.
We would like to thank all participating teams and teachers for their enthusiasm and commitment, and we congratulate everyone who progressed to the later stages of the competition.
Stage 1 and Stage 2 solutions download link
Stage 3 solution download link
Ritangle 2025 Champions
King’s College London Mathematics School
On 5 December, the final challenge was released and the race was on to be the first team to submit a correct solution. After careful review and verification by our judges, we were delighted to confirm Fudge Factors, from King’s College London Mathematics School, as the Ritangle 2025 champions.
Congratulations to the team!
Runners Up
The following teams produced exceptionally strong submissions, demonstrating clear mathematical reasoning, originality of approach and a high level of persistence throughout the later stages of the competition.
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Team “Euclideans” – Queen Elizabeth’s School, Barnet
-
Team “Partial Credit” – London Academy of Excellence, Tottenham
- Team “Definitely Integrated” – The Royal Grammar School, High Wycombe

Commendable Schools
- Abingdon School
- Altrincham Grammar School for Boys
- Bexley Grammar School
- Bishop Vesey’s Grammar School
- Bourne Grammar School
- Cabot Learning Federation Post 16
- Cardiff Sixth Form College
- Cardiff Sixth Form College, Cambridge
- City of London School for Boys
- Dame Alice Owen’s School
- Devonport High School for Boys
- Didcot Sixth Form
- Dr Challoner’s Grammar School
- Droitwich Spa High School and Sixth Form Centre
- Forest London
- Guildford High School
- Haberdashers’ Boys’ School
- Hampton School
- Hautlieu School
- Henrietta Barnett School
- The Howard of Effingham School
- Imperial College London Mathematics School
- King Edward VI Aston Grammar School
- King Edward VI Camp Hill School for Boys
- King Edward VI Grammar School, Chelmsford
- King Edward VI School, Stratford-upon-Avon
- King’s College London Maths School
- King’s College School, Wimbledon
- Lancaster Girls’ Grammar School
- Lawrence Sheriff School
- Leeds Mathematics School
- London Academy of Excellence
- Marling School
- Merchant Taylors’ School, Northwood
- Mercia School
- Moulsham High School
- Newcastle Sixth Form College
- North Halifax Grammar School Sixth Form
- Notre Dame High School
- Olchfa School
- Queen Elizabeth’s School, Barnet
- Queen Mary’s Grammar School
- Rainham Mark Grammar School
- Reading School
- Redmaids’ High School
- Richard Huish College
- Sevenoaks School
- Sir Henry Floyd Grammar School
- South Hunsley Sixth Form College
- St Cuthbert’s Roman Catholic High School
- St Dominic’s Sixth Form College
- St Paul’s Catholic College
- Stretford Grammar School
- The Bluecoat School
- The Broxbourne School
- The Cherwell School
- The Oratory School
- The Royal Grammar School, High Wycombe
- Urmston Grammar School
- Wallington County Grammar School
- Walton High School
- Warwick School
- Watford Grammar School for Boys
- Whitburn Church of England Academy
- Wilson’s School
- Wimbledon College
- Woodbridge High School
- Woodhouse Grove School
Frequently Asked Questions
Registration
- One student from the team must register the team and give the names of all team members to the nominating teacher.
- The student who registers will be the Team Captain, and must be in school year 12 or 13, or equivalent if outside England.
- Students can only be in one team.
- There is no limit on the number of team members (4 or 5 is suggested).
- All students must be from the same school/college
- A teacher can be a Nominated Teacher for multiple teams
Information required to register:
- School/college name, postcode
- Team Captain’s name
- Team Captain’s e-mail address
- Nominating Teacher’s name
- Nominating Teacher’s e-mail address
A team must register in order to submit answers to be in with the chance to win the competition.
Ritangle is pronounced like ‘right angle’ or ‘wry tangle’.
We will release a full set of rules before the competition starts for that academic year; however, here are some that never change.
- Do not share answers! Please don’t share your answers outside your team, online or anywhere else; this ruins the fun!
- The use of AI is not permitted in answering Ritangle questions
- Teachers should not help students; they are only permitted to help with relevant theory.
- Teams should not seek help from online forums or elsewhere; all sharing of ideas should be strictly within the team.
Please note: anyone found leaking the answers or clues inappropriately and anyone found intentionally using such leaks will be disqualified from the competition.
If you can’t answer a question, then we advise you to carry on with the next question. You can always come back to a question afterwards, before the final.
You do not have to answer every question correctly to win the overall competition; however, the final question is easier to unlock if you have.
If it is apparent that a question is too difficult, hints may be provided publicly by the Ritangle team.
Yes! Judges will need to see evidence of working out from the leading teams before announcing the winners.
Clues released on submission of correct answers are required to unlock the final question.
We recommend that each team nominates a member as Team Archivist to keep the team’s working for the questions as they are attempted.
It is against the rules to use AI in Ritangle. The winning team will be asked to submit all their work for each question, and it should be clear from this, along with the timestamps associated with the submission of answers, that AI has not been used.
Otherwise, we encourage the use of technology; spreadsheets, graphing software, and programming can be particularly useful.
Please note: any team repeatedly attempting to use an automated process to systematically enter answers until the correct answer is found will be disqualified from the competition.
Python
General advice about Python – Notes and Examples from Integral
Excel
Using Excel for mathematical investigation – Go to Nrich webpage
Using Excel to solve a problem involving the digits of numbers – Download
Introduction to programming Excel using Visual Basic – Download
GeoGebra
Graphics/Algebra views and Graphics Style Bar – Guide 1
Functions, Dynamic Text and Graphics 2 – Guide 2
Commands, Spreadsheets and Statistics – Guide 3
Vectors, CAS and 3D views – Guide 4
We hope that 16:00 on Friday makes it a level playing field: teams can gather after school at the home of one team member, and they are not dependent on being allowed off timetable for the next two days in order to work on the problem.
The intention is that the final task is challenging to complete quickly, but we are always surprised at the ingenuity of our teams!
We have considered dropping the race-to-the-line element of the final task and having a more qualitative task for those scoring fully on the final question. We have decided to shelve this alternative for now.
All participating teams will receive a certificate, which will be emailed to their Nominated Teacher.
The winning team will receive a maths hamper containing a mix of prizes for individual team members. It also includes a free year-long subscription to MEI’s Learning Platform Integral, and a trophy for their school/college.
The winning team will be contacted via the Nominating Teacher to verify details of the team and their participation.
The decision of the judges is final. The winning team and the answers will be announced on this webpage and MEI’s social media channels.
Please note: the following is subject to the team providing sufficient evidence (in the opinion of the judges) of their working.
Answers to the final question will be accepted until the date published in the Information and Rules document.
Scenario 1
The highest-scoring team on the final question will be declared the winner.
Scenario 2
If there is more than one team with the highest score on the final question, the winner will be the team that submitted their answers first.
Scenario 3
In the event that the above does not determine a winner, the winning team will be chosen at the discretion of the judges based on the answers submitted.