Being curious

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?

In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.

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

This problem challenges you to sketch curves with different properties.

Explore a new way of multiplying with matrices.

What does this number mean? Which order of 1, 2, 3 and 4 makes the highest value? Which makes the lowest?

Explore the shape of a square after it is transformed by the action of a matrix.

If you know some points on a line, can you work out other points in between?

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

How did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?