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Prove there exists an irrational number raised to the power of an irrational number that is rational
Proof of Bezout’s identity
The Sylvester-Gallai Theorem
Introduction to Set Theory
The Russell Paradox
Set theory is formulated on the postulate that there is a fundamental relation , which is a function of two […]
Forwards-Backwards Proof by Induction
You are first introduced to proof by induction in the first year of A-level further mathematics. A statement such as: […]
UK School League Tables 2019
Rank A/A* % School Day/Board Gender Day Fee £ Board Fee £ 1 99.6 St Paul’s Girls’ School Day Girls […]
The Hat Problem (Error Correcting Codes!)
Three students enter a room, and a white or black hat is placed on each of their heads. (The colour […]
The Football Maths Puzzle
Take a look at the football in the picture. Interesting pattern of pentagons and hexagons, at each point two hexagons […]