Combinatorics
problem
Magic Caterpillars
Age
14 to 18
Challenge level
Label the joints and legs of these graph theory caterpillars so that the vertex sums are all equal.
problem
Euler's Officers
Age
14 to 16
Challenge level
How many different ways can you arrange the officers in a square?
problem
Snooker Frames
Age
16 to 18
Challenge level
It is believed that weaker snooker players have a better chance of
winning matches over eleven frames (i.e. first to win 6 frames)
than they do over fifteen frames. Is this true?
problem
N000ughty thoughts
Age
14 to 16
Challenge level
How many noughts are at the end of these giant numbers?
problem
Snooker
Age
16 to 18
Challenge level
A player has probability 0.4 of winning a single game. What is his
probability of winning a 'best of 15 games' tournament?
problem
Russian Cubes
Age
14 to 16
Challenge level
I want some cubes painted with three blue faces and three red faces. How many different cubes can be painted like that?
problem
Doodles
Age
14 to 16
Challenge level
Draw a 'doodle' - a closed intersecting curve drawn without taking pencil from paper. What can you prove about the intersections?
article
An introduction to computer programming and mathematics
This article explains the concepts involved in scientific
mathematical computing. It will be very useful and interesting to
anyone interested in computer programming or mathematics.
article
Symmetric Tangles
The tangles created by the twists and turns of the Conway rope
trick are surprisingly symmetrical. Here's why!