21 days...
21 questions...
leading to one answer...
and one winning team.


Congratulations to the team 'Proof by Counterexample' from The Thomas Hardye School, Dorset who are the 2017 Ritangle winners.

They submitted a correct answer on Thursday 7th December and we were able to check their working and verify them as winners. Once again, Ritangle was challenging and this is a magnificent achievement!

The answer to Ritangle 2017 was ramanujaneinsteinrobinson (not case sensitive and with the three names, Ramanujan, Einstein, Robinson in any order). A full solution to Ritangle 2017 will appear soon.

Thanks to all the students who took part and the teachers supporting them - the schools/colleges from which a correct answer was received are listed here.

Here is a full solution to Ritangle 2017.

We hope Ritangle will return in 2018.

Winning School, Ritangle 2017 The Thomas Hardye School
Correct answer received from

Ashfield School

Ashlawn School

Ballakermeen High School

Bancroft’s School

Barton Peveril College

Blessed George Napier Catholic School and Sixth Form College

The Bishop’s Stortford High School

British International School, Bratislava

The British School of Brussels

Cheam High School

The Cherwell School

City of Norwich School

Clifton College

Colston’s School

Denbigh School

Doha College

Durham Sixth Form Centre

East Norfolk Sixth Form College

The English School, Nicosia

Exeter College

Garden International School

Guiseley School

Harrogate Ladies College

Havant College

Highbury College

Hills Road Sixth Form College

Holy Trinity CofE Secondary School

Jerudong International School

Jewish Community Secondary School

The Judd School

John Hampden Grammar School

Joseph Rowntree School

King Alfred’s Academy

King Edward VI Aston

King Edward VI Camp Hill School for Boys

King Edward VI College Stourbridge

King Edward’s School, Birmingham

King Henry VIII School

King’s College of Alicante

King’s College, Madrid

King’s College London Maths School

King’s College School

The Latymer School

Lawrence Sheriff School

Magdalen College School

Merchant Taylors’ School

Millfield School

Mossbourne Community Academy

Nottingham University Academy of Science and Technology

Oundle School

Pate’s Grammar

Peter Symonds College

Pontefract New College

Queen Elizabeth’s School, Barnet

Queensmead School

The Ridings Federation Winterbourne International Academy

Rougemont School

Roundhay School

Royal Grammar School

Runshaw College

Saltash.net Community School

Sir John Deane’s Sixth Form College

Sir William Borlase’s Grammar school

Solihull School

St Albans School

St Dominic’s Sixth Form college

St Mary’s Catholic School

Stretford Grammar School

Taverham High School

The Thomas Hardye School

Thurston Community College

Upton Court Grammar School

Walbottle Campus

West Bridgford School

Westcliff High School for Boys

Westminster School

Wirral Grammar School for Girls

Wycombe Abbey School

  Ritangle is a competition for teams of students of A level Mathematics, Scottish Highers or the International Baccalaureate

  No knowledge of mathematics beyond A level Mathematics required

  For the main competition, one question is released daily for 21 consecutive weekdays. The first question was released on 9th November 2017.

  The final question unlocks an overall answer based on the solutions to all the questions

  A maths hamper prize, including a free year long subscription to Integral, and trophy for the school or college of the winning team!

  Technology can help with some Ritangle questions

Hints for question 21

We'll post any hints for question 21 here on weekdays at 0900 up until the end of the competition on 13th December.

Hint 1

Main Competition Questions

The answers to questions 1 to 20 are used to answer question 21.

To do this, each of your answers to questions 1 to 20 should be spelt out as text, so the answer 123 would read


You only need the first 20 characters, for example


The answers to questions 1 to 20 should then be arranged in grid form.

You do not need to solve every question to find the overall answer to Ritangle. Where there are gaps, you may be able to guess sensibly.

You will be able to submit your overall answer to Ritangle from 0900 on 7th December, when question 21 will be released and registration will close.


The five preliminary questions

We would like to clarify that, in Preliminary question A, a self-descriptive number needn't have exactly 7 digits. We have slightly altered the question shown here from the version originally released to help clarify this.

The answers to the preliminary questions combine to give a string of 17 characters.

Registered teams can now submit their answer to this.

A correct submission returns a clue for the main competition by email.


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