Year 11 Visualising and representing

What is the same and what is different about these circle questions? What connections can you make?

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?

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

Starting with two basic vector steps, which destinations can you reach on a vector walk?

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

Can you make sense of the three methods to work out what fraction of the total area is shaded?

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.

Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.

This problem challenges you to find cubic equations which satisfy different conditions.

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?

There are many different methods to solve this geometrical problem - how many can you find?

Do you have enough information to work out the area of the shaded quadrilateral?

Stick some cubes together to make a cuboid. Find two of the angles by as many different methods as you can devise.