Exploring and noticing

Take any pair of numbers, say 9 and 14. Take the larger number, fourteen, and count up in 14s. Then divide each of those values by the 9, and look at the remainders.

How can you decide if a graph is traversable?

Investigate the transformations of the plane given by the 2 by 2 matrices with entries taking all combinations of values 0, -1 and +1.

Which of these roads will satisfy a Munchkin builder?

In this problem, we define complex numbers and invite you to explore what happens when you add and multiply them.

Complex numbers can be represented graphically using an Argand diagram. This problem explains more...

Where do people fly to from London? What is good and bad about these representations?

This problem challenges you to sketch curves with different properties.

Explore a new way of multiplying with matrices.