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.
What happens when you find the powers of this matrix?
Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?
Quadratic graphs are very familiar, but what patterns can you explore with cubics?
What does this number mean? Which order of 1, 2, 3 and 4 makes the highest value? Which makes the lowest?
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?
Explore the shape of a square after it is transformed by the action of a matrix.
There are many different methods to solve this geometrical problem - how many can you find?
