We have a box of cubes, triangular prisms, cones, cuboids, cylinders and tetrahedrons. Which of the buildings would fall down if we tried to make them?

Is there a best way to stack cans? What do different supermarkets do? How high can you safely stack the cans?

How many balls of modelling clay and how many straws does it take to make these skeleton shapes?

If you had 36 cubes, what different cuboids could you make?

Can you make a 3x3 cube with these shapes made from small cubes?

How can you put five cereal packets together to make different shapes if you must put them face-to-face?

Make a cube out of straws and have a go at this practical challenge.

The image in this problem is part of a piece of equipment found in the playground of a school. How would you describe it to someone over the phone?

We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?