Join pentagons together edge to edge. Will they form a ring?

In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?

Whenever a monkey has peaches, he always keeps a fraction of them each day, gives the rest away, and then eats one. How long could he make his peaches last for?

There are lots of different methods to find out what the shapes are worth - how many can you find?

What's the largest volume of box you can make from a square of paper?

Can you make sense of information about trees in order to maximise the profits of a forestry company?

Can you find examples of magic crosses? Can you find all the possibilities?

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

Quadratic graphs are very familiar, but what patterns can you explore with cubics?