A triangle PQR, right angled at P, slides on a horizontal floor with Q and R in contact with perpendicular walls. What is the locus of P?
This is a beautiful result involving a parabola and parallels.
There are many different methods to solve this geometrical problem - how many can you find?
Which curve is which, and how would you plan a route to pass between them?
Which line graph, equations and physical processes go together?
Go on a vector walk and determine which points on the walk are closest to the origin.
How many different colours of paint would be needed to paint these pictures by numbers?
