Can you work out the height of Baby Bear's chair and whose bed is whose if all the things the three bears have are in the same proportions?

Using different numbers of sticks, how many different triangles are you able to make? Can you make any rules about the numbers of sticks that make the most triangles?

In this challenge, buckets come in five different sizes. If you choose some buckets, can you investigate the different ways in which they can be filled?

There are lots of ideas to explore in these sequences of ordered fractions.

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

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?

Many of you found some fascinating patterns in the numbers which you were also able to explain.

This article for teachers suggests ideas for activities built around 10 and 2010.

Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?