Visualising and representing

Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

Can you work out which spinners were used to generate the frequency charts?

Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?

Infographics are a powerful way of communicating statistical information. Can you come up with your own?

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?