These squares have been made from Cuisenaire rods. Can you describe the pattern? What would the next square look like?

Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

Can you use this information to work out Charlie's house number?

Up and Down Staircases

One block is needed to make an up-and-down staircase, with one step up and one step down.

$4$ blocks make an up-and-down staircase with $2$ steps up and $2$ steps down.

four cubes in 2 step up and down staircase

How many blocks would be needed to build an up-and-down staircase with $5$ steps up and $5$ steps down?

Explain how you would work out the number of blocks needed to build a staircase with any number of steps.