☰ Maths Team

Version française

Problems

And References


Mathematical competitions are like sport: Practice makes the champion!

Junior training with Kangourou

You can find multiple choice exercises (in French) on the website of the Kangourou.
More precisely, look at the following pages with the exercises from old competitions: 2019; 2018; 2017; 2016; 2015; 2014; 2013; 2012; 2011; 2010; 2009; 2008; 2007; 2006; 2005; 2004. For every year you find sheets of various levels (the easiest sheets are on top). There are the solutions to the multiple choice exercises.

If you do not understand a solution, just ask us!

Advanced training with mathraining

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) www.mathraining.be. You can make a login and then freely access the material. There you find:
Notice that in mathraining there is also a Forum to ask for hints, so you should not give up!

Advanced training with the art of problem solving

The most comprehensive compendium of exercises related to mathematical contests (of many countries!) is artofproblemsolving.com/community/ . We recommend you this site to train for the AIME test. You find here problems and solutions of the AIME competition of the past years.

If you do not understand a solution, just ask us!

Advanced training with OMB problems

The website of the OMB (Olympiade mathématique belge) contains here the collection of the final contest problems of the last years. You can try to solve these problems and send us your solution to be corrected. You can also ask us for hints!

Advanced training with our Problem Sets

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!).

Material from the Défis course

At the University of Luxembourg, there is a course, Défis mathématiques par approches élémentaires, which is open to high school students. Each semester different topics are covered. Here the material from this course about arithmetic: Division, gcd and lcm, Linear Diophantine equations, Prime Numbers, Number Systems, The Euler function, Rational numbers, Modular Arithmetic.

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 are available at the public library in Campus Belval, by the University of Luxembourg.