# The National Mathematics and Science College

## Dr Robotham wins her 7th Olympiad trophy in a row!

NMSC is celebrating a 100% success in this year’s Lower 6th Chemistry Olympiad with ALL of its Lower 6 chemistry students finishing in the TOP 20%. Special mention goes to …

## Euclid Contest Results

The Euclid Mathematics Competition is run by the Center for Education in Mathematics and Computing at the University of Waterloo. It is acknowledged one of the most challenging of all …

## RSC Young Analyst Competition

Huge congratulations to our two teams who entered the regional heats of the Royal Society of Chemistry Young Analyst Competition! Team one featured William, Gemini and Anthony, while team 2 comprised …

## Irrationality Proof

Prove that $$\log_{2}(10)$$ is irrational.

## The sum of the squares

Introduction In this article, we will look at several proofs for a famous formula. Formula: Sum of the squares $$\sum_{r=1}^{n}r^2=\frac{n}{6}(n+1)(2n+1)$$ Mathematical induction We begin with the base case, $$n=1$$. The …