Accompagnement personnalisé
AP 01 - Basic geometry vocabulary
AP 02 - Special lines in a triangle
AP 03 - Classic configurations
AP 04 - Different kinds of numbers
AP 05 - Scientific notation
AP06 - Introduction to logic
AP 07 - Functions and calculators
AP 08 - Alogorithms and calculators
AP 09 - Congruent triangles
AP 10 - Using congruent triangles
AP 11 - Solving a system by elimination
AP 12 - Solving a system graphically
AP 13 - Problems and systems
Devoirs maison
Homework 01 - CPL coordinates
Homework 02 - Koch snowflake
Homework 03 - SAT reasoning tests
Homework 04 - An optimization problem with Geogebra
Homework 05 - Randomness tests
Homework 06 - Vectors in a triangular grid
Homework 07 - Finding a minimal point (Geogebra)
Homework 08 - The paradox of the Duke of Tuscany
Homework 09 - The median-median method
Homework 10 - The Euler line
Homework 11 - A formula about quadratic functions
Homework 12 - Finding a maximal point (Geogebra)
Chapter 3 — Cryptography
Episode 08 - What is Crytography ?
Episode 09 - The Caesar cipher
Episode 10 - The Pigpen cipher
Episode 11 - The Dancing Men
Episode 12 - Breaking a substitution cipher
Episode 13 - The Beale ciphers
Episode 14 - The Vigenère cipher
Episode 15 - Breaking the Vigenère cipher
Episode 16 - The Enigma machine
Session 2014
Sujet 1 — Geometry and quadratic equations (geometry)
Sujet 2 — Gambling on Horse Races (probabilities)
Sujet 3 — The Gold Brick Puzzle (puzzle)
Sujet 4 — The Reaper's Problem (calculus)
Sujet 6 — Mersenne numbers (arithmetic)
Sujet 7 — The Keynesian Multiplier (applied mathematics)
Sujet 8 — What Is The Best Number (arithmetic)
Sujet 9 — Ouroborean Rings (arithmetic)
Sujet 10 — The Seven Bridges of Konigsberg (graphs)
Sujet 11 — Power ball lottery (probabilities)
Sujet 12 — Diophantus Method for Pythagorean Triples (arithmetic)
Sujet 14 — Descartes?s rule of Signs (calculus)
Sujet 15 — Pythagorean Triples (arithmetic)
Sujet 16 — Fun tricks with numbers (arithmetic)
Sujet 17 — The two sorcerers? towers (sequences)
Sujet 19 — The YBC 7289 clay tablet (number systems)
Sujet 20 — Goldbach?s ternary conjecture (arithmetic)
Sujet 21 — A strange sum (general article)
Sujet 22 — The ABC conjecture (arithmetic)
Sujet 23 — The MU puzzle (puzzle)
Sujet 24 — The pirate game (puzzle)
Sujet 25 — Pythagorean triples (arithmetic)
Sujet 26 — Figurate numbers (arithmetic)
Sujet 29 — A Pythagorean tragedy (general article)
Sujet 30 — An average speed (general article)
Session 2013
Sujet 1 — The harmonic series (sequences)
Sujet 2 — The vesica piscis and the golden ratio (geometry)
Sujet 3 — Regiomontanus' maximum problem (geometry)
Sujet 4 — Is 64 equal to 65 ? (puzzle)
Sujet 7 — Yates four-object divination (discrete mathematics)
Sujet 8 — Elasticity in economics (applied math)
Sujet 9 — The golden ratio (geometry)
Sujet 10 — Magic squares (puzzle)
Sujet 11 — The pigeonhole principle (discrete mathematics)
Sujet 13 — Involutions (calculus)
Sujet 14 — Different sorts of proofs (general article)
Sujet 15 — Marginal and average costs (applied mathematics)
Sujet 16 — Narcissistic numbers (arithmetic)
Sujet 17 — Rock-Paper-Scissors (game)
Sujet 18 — The witch of Agnesi (calculus)
Sujet 19 — Compound interest law (applied mathematics)
Sujet 20 — The Gateway Arch (calculus)
Sujet 21 — Magic squares (puzzle)
Sujet 22 — A Korean success story (sequences)
Sujet 23 — Friezes (geometry)
Sujet 24 — Twin primes (arithmetic)
Sujet 25 — A dialogue on probabilities (probabilities)
Sujet 27 — The sum of the first cubes (arithmetic)
Sujet 28 — The conjunction fallacy (probabilities)
Sujet 30 — Blankinship's method (arithmetic)
Sujet 31 — The reflective property of a parabola (calculus)
Sujet 32 — A mathematical analysis of Felix Baumgartner's skydive (calculus)
Sujet 34 — A Mersennery quest (arithmetic)
Sujet 36 — How many candies do you have? (discrete mathematics)
Sujet 39 — Exploring Bayes's theorem (probabilities)
Sujet 40 — Financial discounting (applied mathematics)
Sujet 41 — The Tower of Hanoï (sequences)
Sujet 42 — Al-Khwarizmi's routine for quadratic equations (calculus)
Sujet 43 — How to compute decimal logarithms (calculus)
Sujet 44 — Binary subtraction and the NOT operator (general article)
Sujet 45 — False positive paradox (probabilities)
Sujet 46 — Knights and knaves (puzzle)
Session 2012
Sujet 1 — Odd and even functions (calculus)
Sujet 2 — Getting information from the equation of a curve (calculus)
Sujet 3 — Conditional probabilities and the dying of a plant (probabilities)
Sujet 4 — The amazing number 6174 (arithmetic)
Sujet 5 — The Shoelace Problem (calculus)
Sujet 6 — A variant of Pascal's triangle (arithmetic)
Sujet 7 — The Malthusian growth model (sequences)
Sujet 8 — The second derivative (calculus)
Sujet 9 — The median (statistics)
Sujet 10 — Extreme value problems (calculus)
Sujet 11 — The game of squash (probabilities)
Sujet 12 — Euclid's solution of some quadratic equations (geometry)
Sujet 13 — A-series paper (sequences)
Sujet 14 — Catalan numbers (discrete mathematics)
Sujet 15 — Farey sequence (discrete mathematics)
Sujet 16 — Genetic fingerprinting (probabilities)
Sujet 17 — Cleavers (geometry)
Sujet 18 — Eratosthenes' measurement of the Earth (geometry)
Sujet 19 — Meandric and Catalan Numbers (discrete mathematics)
Sujet 20 — Conway Proof (arithmetic)
Sujet 21 — The Lazy Caterer's Sequence (sequences)
Sujet 22 — Converse and contrapositive (general article)
Sujet 23 — Gaussian Integers (complex numbers)
Sujet 24 — Triangular numbers (sequences)
Sujet 25 — Chinese remainder theorem (arithmetic)
Sujet 26 — Graph theory (discrete mathematics)
Sujet 27 — Improper integrals (calculus)
Sujet 28 — Proof by induction (sequences)
Sujet 29 — Divisibility criteria (arithmetic)
Sujet 30 — National Debt in the USA (statistics)
Sujet 31 — The plastic number (sequences)
Sujet 32 — Perfect and amicable numbers (arithmetic)
Sujet 33 — Multiplicative Persistence (arithmetics)
Sujet 34 — Carlyle's construction for solutions of a quadratic equation (algebra)
Sujet 35 — A certain amount of symbolism (general article)
Session 2011
Sujet 1 — Harshad numbers (arithmetic)
Sujet 2 — Completing the square (algebra)
Sujet 3 — Convergency of series (calculus)
Sujet 4 — Continued fractions (arithmetic)
Sujet 5 — Compound events (probabilities)
Sujet 6 — Richmond's contruction of a regular pentagon (geometry)
Sujet 7 — Pascal, Fibonacci and Seattle cabs (discrete maths)
Sujet 8 — Benford's law (statistics)
Sujet 9 — The most efficient integer base (arithmetic)
Sujet 10 — Balanced ternary (arithmetic)
Sujet 11 — Darts (probabilities)
Sujet 12 — Flight charges (calculus)
Sujet 13 — Heptathlon (calculus)
Sujet 14 — Perfect numbers (arithmetic)
Sujet 15 — Prime numbers (arithmetic)
Sujet 16 — The Collatz conjecture (sequences)
Sujet 17 — The cosine rule (geometry)
Sujet 189 — Erdös-Straus conjecture (algebra)
Sujet 19 — Logarithm tables (algebra)
Sujet 20 — The problem of the points (probabilities)
Sujet 21 — The amazing number 148257 (arithmetic)
Sujet 22 — Doubling the circle (geometry)
Sujet 25 — The Oxford murders (arithmetic)
Sujet 26 — Henry Ernest Dudeney (arithmetic)
Sujet 28 — Pascal's triangle (algebra)
Session 2010
Sujet 1 — The Feueuback circle (geometry)
Sujet 2 — Nixon's quadrilateral (geometry)
Sujet 3 — You can't beat the odds (probabilities)
Sujet 4 — Magical mathematics with integers (arithmetic)
Sujet 5 — The game of Plinko (probabilities)
Sujet 6 — Dolbear's law (applied maths)
Sujet 7 — Critical path analysis (graph theory)
Sujet 8 — Gauss optimization for complex multiplication (complex algebra)
Sujet 10 — The problem of antidifferentiation (calculus)
Sujet 11 — The Kate Bush conjecture (probabilities)
Sujet 12 — Mantissae (logarithm algebra)
Sujet 13 — A simple sequence not given by a simple formula (algebra)
Sujet 14 — The irrationality of the Golden Ratio (geometry)
Sujet 15 — Let's make a deal (probabilities)
Sujet 16 — Two bees or not two bees (sequences)
Sujet 17 — A magical multiplying method (algebra)
Sujet 18 — APs in Pascal's triangle (algebra)
Sujet 19 — Help Lewis Carrol to find RATs (algebra)
Sujet 20 — The problem of squaring a quadrilateral (geometry)
Sujet 21 — Brocard points (geometry)
Session 2009
Sujet 1 — The amazing number 1089 (arithmetic)
Sujet 2 — Sums of consecutive numbers (arithmetic)
Sujet 3 — Ruth-Aaron pairs (arithmetic)
Sujet 4 — A Chinese precursor of Pascal's triangle (combinatorials)
Sujet 5 — Non-transitive dice (probabilities)
Sujet 6 — Hamming distance (discrete maths)
Sujet 7 — Random numbers generators (statistics)
Sujet 8 — Urban geometry (lattices)
Sujet 9 — Steiner's parallels problem (geometry)
Sujet 10 — A Mascheroni compass problem (geometry)
Sujet 11 — Ptolemy's theorem (geometry)
Sujet 12 — Euler's straight line (geometry)
Sujet 13 — Robert Record's Multiplication (arithmetic)
Sujet 14 — Different computations of the square root of 2 (general article)
Sujet 15 — The trapezoidal rule (calculus)
Sujet 16 — An exponential model for Learning (calculus)
Session 2008
Sujet 1 — Golden rabbits (sequences)
Sujet 2 — The mathematics of continuity (calculus)
Sujet 3 — How to compute areas and slopes ? (calculus)
Sujet 4 — Squaring the circle (geometry)
Sujet 5 — Division by 0 (algebra)
Sujet 6 — The limit of (sin x)/x when x approaches 0 (calculus and geometry)
Sujet 8 — How a question may be brought to an equation (arithmetic)
Sujet 9 — Laws of the algebra of sets (algebra)
Sujet 10 — Injections, surjections and bijections (algebra)
Sujet 11 — Legend of the Ambalappuzha Paal Payasam (powers)
Sujet 12 — Classic fallacies - a proof by induction (induction)
Sujet 13 — Rouse Ball's Fallacy (geometry)
Sujet 14 — Angle trisection (geometry and sequences)
Sujet 15 — The irrationality of square root of 3 (arithmetic)
Sujet 16 — Euclid's Algorithm (arithmetic)
Session 2007
Sujet 1 — Mersenne primes (arithmetic)
Sujet 2 — The "root of 2" clay tablet (number systems)
Sujet 3 — The eight queens puzzle (puzzles and games)
Sujet 4 — Probability and ambiguity (probabilities)
Sujet 5 — Knuth's up-arrow notation (general article)
Sujet 6 — Colin R. Blyth's paradox (probabilities)
Sujet 7 — How to square a rectangle (geometry)
Sujet 8 — Proof of the irrationality of e (calculus)
Sujet 9 — Prime numbers (arithmetic)
Sujet 10 — Different numbers (number systems)
Sujet 11 — A proof by contradiction (algebra)
Sujet 12 — Geodesic domes (solid geometry)
Sujet 13 — Invalid proofs (general article)
Sujet 14 — Ordered sets (algebra)
Sujet 15 — Folding Paper in Half (powers of 2)
Sujet 16 — The Rubick's Cube (combinatorics)
Session 2006
Sujet 1 — Polyhedra (geometry)
Sujet 2 — The Game of Life (games and puzzles)
Sujet 3 — All is number (general article)
Sujet 4 — The number Pi (general article)
Sujet 5 — Infinity, concept and symbol (history)
Sujet 6 — A lemma proved by Archimedes (geometry)
Sujet 7 — Kobon Triangles (games and puzzles)
Sujet 8 — Sudoku (games and puzzles)
Sujet 9 — Mappings (advanced algebra)
Sujet 10 — Groups (advanced algebra)
Session 2005
Sujet 1 — The concept of set and basic set operations (set theory)
Sujet 2 — Compositions and partitions of a number (number theory)
Sujet 3 — The complex numbers (history)
Sujet 4 — Achilles and the tortoise (sequences)
Sujet 5 — Calculus (general article)
Sujet 6 — Perspective and the tangent function (trigonometry)
Sujet 7 — Equivalence equations (set theory)
Sujet 8 — Density functions (probabilities)
Sujet 9 — The Golf shot (study of a function)
Sujet 10 — Pepy's problem (statistics)
Sujet 11 — Pascal's triangle (combinatorics)