Explore some of the different types of network, and prove a result about network trees.
What is the largest number you can obtain at the top of this pyramid?
There is nothing half so much worth doing as simply messing about in boats...
Is it possible to find the angles in this rather special isosceles triangle?
Can you rearrange the cards to make a series of correct mathematical statements?
Can you work out where these 5 riders came in a not-quite-so-famous bike race?
Can you prove the angle properties described by some of the circle theorems?
Can you prove that the opposite angles of cyclic quadrilaterals add to $180^\circ$?
Can you make sense of these three proofs of Pythagoras' Theorem?
Can you prove Pythagoras' Theorem using enlargements and scale factors?
A red square and a blue square overlap. Is the area of the overlap always the same?
Given a regular pentagon, can you find the distance between two non-adjacent vertices?
Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?