Many natural systems appear to be in equilibrium until suddenly a critical point is reached, setting up a mudslide or an avalanche or an earthquake. In this project, students will use a simple simulation game to investigate the properties of such systems.
The diagonal of a square intersects the line joining one of the unused corners to the midpoint of the opposite side. What do you notice about the line segments produced?
We are given a regular icosahedron having three red vertices. Show that it has a vertex that has at least two red neighbours.
What can we say about all the primes which are greater than 3?
Have a go at being mathematically negative, by negating these statements.
Five equations and five unknowns. Is there an easy way to find the unknown values?
