problem Network Trees Age 14 to 18 Challenge level Explore some of the different types of network, and prove a result about network trees.
article A Curious Collection of Bridges Read about the problem that tickled Euler's curiosity and led to a new branch of mathematics!
problem Factors and multiples graphs Age 16 to 18 Challenge level Explore creating 'factors and multiples' graphs such that no lines joining the numbers cross
problem Simply Graphs Age 16 to 18 Challenge level Look for the common features in these graphs. Which graphs belong together?
problem Round-robin scheduling Age 7 to 14 Challenge level Think about the mathematics of round robin scheduling.
problem The Olympic Torch Tour Age 14 to 16 Challenge level Imagine you had to plan the tour for the Olympic Torch. Is there an efficient way of choosing the shortest possible route?
problem Torus patterns Age 16 to 18 Challenge level How many different colours would be needed to colour these different patterns on a torus?
problem Limiting Probabilities Age 16 to 18 Challenge level Given probabilities of taking paths in a graph from each node, use matrix multiplication to find the probability of going from one vertex to another in 2 stages, or 3, or 4 or even 100.
problem Maximum Flow Age 16 to 18 Challenge level Given the graph of a supply network and the maximum capacity for flow in each section find the maximum flow across the network.