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year 13

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IB Maths Resources from Intermathematics

Finding the average distance in an equilateral triangle

Finding the average distance in an equilateral triangle In the previous post I looked at the average distance between 2 points in a rectangle. In this post I will investigate the average distance between 2 randomly chosen points in an equilateral triangle. Drawing a sketch. The first step is to start with an equilateral triangle […]

What is the average distance between 2 points in a rectangle?

What is the average distance between 2 points in a rectangle? Say we have a rectangle, and choose any 2 random points within it. We then could calculate the distance between the 2 points. If we do this a large number of times, what would the average distance between the 2 points be? Monte Carlo […]

Plotting Pi and Searching for Mona Lisa

Plotting Pi and Searching for Mona Lisa This is a very nice video from Numberphile – where they use a string of numbers (pi) to write a quick Python Turtle code to create some nice graphical representations of pi. I thought I’d quickly go through the steps required for people to do this by themselves. […]

Witness Numbers: Finding Primes

Witness Numbers: Finding Primes The Numberphile video above is an excellent introduction to primality tests – where we conduct a test to determine if a number is prime or not. Finding and understanding about prime numbers is an integral part of number theory. I’m going to go through some examples when we take the number […]

Maths Games and Markov Chains

Maths Games and Markov Chains This post carries on from the previous one on Markov chains – be sure to read that first if this is a new topic. The image above is of the Russian mathematician Andrey Markov [public domain picture from here] who was the first mathematician to work in this field (in […]

New Paper 3s for Applications!

New Paper 3s for Applications! I’ve just finished making six Paper 3 practice papers for HL students sitting the Applications examination. The Paper 3 pack is 41 pages and includes over 180 marks of questions and full typed up markscheme. I’ve paid close attention to the IB’s provided examples for the course to make sure […]

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