Who we are

WeSolveProblems is a non-profit UK organization founded by three enthusiasts of extra-curriculum mathematical education. We organize Maths Battle competitions in the UK schools. Our goal is to help UK schools and students to make advanced maths more popular.

Supported by:
London Mathematical Society



What are maths battles

A Maths Battle is a competition between two teams of students, where each team presents their solutions to the opposition who challenge their answers. The idea is similar to that of a sports team, competing regularly and training in between the competitions.

How can I organize a maths battle in my school

A Maths Battle is fun! It is social and competitive! By organising a Maths Battle in your school, you help your students to love maths. We have prepared a Starter Kit that includes everything you need to organise a Maths Battle.

Maths problem database

Problems from the maths battles and maths circles with solutions. The solutions are available only for the teachers. Please contact us to get access to the solutions.


Sample problems

  • 1

    Is it possible to construct a rectangle with edges longer than 1 using all the 13 rectangles 1 × 1, 1 × 2, ..., 1 × 13?

  • 2

    A number is called “cool” if it has only even numbers as digits. (For example, 480 is a “cool” number.) How many different “cool” 4-digit numbers exist?

  • 3

    Twenty-five elves and 25 dwarves are seated around a table. Show that at least one creature has elves as both neighbours.

Maths Circle #8

February 29, 2016

. The Royal Grammar School for Boys in High Wycombe

Maths Circle #7

February 22, 2016

Pigeon Hole Principle. The Royal Grammar School for Boys in High Wycombe

Maths Battles #3

February 08, 2016

Maths Battle in The Royal Grammar School for Boys in High Wycombe

Maths Circle #6

February 01, 2016

Modulo Operation. The Royal Grammar School for Boys in High Wycombe

Reviews and quotes

I think it is very social and it is better than classroom work because of face-to-face conversation with more relaxed people.

Student, The Royal Grammar
School, High Wycombe

Pupils at the RGS have really enjoyed maths battles and numbers grow week on week. The problems are fun and open questions give the boys further opportunity to work collaboratively outside of the classroom as well as potentially considering mathematics from a different perspective.

Bhargar Rentala, Student, The Royal
Grammar School, High Wycombe
Maths resources