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Which numbers can we write as a sum of square numbers?

Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

Can you work out the probability of winning the Mathsland National Lottery?

I'm thinking of a rectangle with an area of 24. What could its perimeter be?

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?

Why does this fold create an angle of sixty degrees?

Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...

Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?

This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.