Mathematical competitions are like sport: Practice makes the champion!
Training means either:
- Learning the theory (the topics which are not school mathematics).
- Solving exercises and/or fully understand their solutions.
- Writing complete solutions (and send them for correction).
A course in arithmetic (in French)
- Division: Theory.
- gcd and lcm: Theory.
- Linear Diophantine equations: Theory.
- Prime Numbers: Theory.
- Number Systems: Theory.
- MORE MATERIAL WILL BE UPLOADED IN THE ONCOMING WEEKS
Please contact us if you have some questions!
In these problem sets we explain you some mathematical facts and then propose you some exercises. You can send us written solutions for correction.
You do not have deadlines, and you do not have to complete the problem set before sending us solutions.
We correct your solutions to see if they are mathematically complete and well-written: this is only meant to help you learning, and we do not assign grades.
Sometimes it can be helpful for you to ask us for hints (if you are stuck please do not give up but ask for a hint!).
If you are training for mathematical competitions (and you understand French), we expect you to work with the wonderful interactive website
(non-commercial, made by the mathematician Nicolas Radu for pupils)
You can make a login and then freely access the material. There you find:
- Concise explanations of the theory.
- Multiple choice and calculation exercises (meant to check that you understood the theory).
- Very difficult problems : These are meant as personal challenges for high-level training.
Notice that in mathraining there is also a Forum to ask for hints, so you should not give up!
- Many nice preparation courses are online (in French) on the webpage:
- The most comprehensive compendium of exercises related to mathematical contests (of many countries!) is
- Further problems with solutions: Chennai Mathematical Institute
- We also recommend some books:
Solving Mathematical Problems: A Personal Perspective by Terence Tao;
Problem Solving Strategies by Arthur Engel;
Les olympiades de mathématiques by Tarik Belhaj Soulami;
Mathematical Olympiad Challenges and Mathematical Olympiad Treasures by Titu Andreescu;
IMO Compendium by Djukić, Janković, Matić, and Petrović.
Notice that these books will soon be available at the public library in Campus Belval, by the University of Luxembourg.