This problem challenges you to sketch curves with different properties.
Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?
Find the sum of this series of surds.
Some treasure has been hidden in a three-dimensional grid! Can you work out a strategy to find it as efficiently as possible?
10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?
Can you work out which processes are represented by the graphs?
Can you make sense of the three methods to work out what fraction of the total area is shaded?
Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.
If you know some points on a line, can you work out other points in between?
