1 out of 3
What happens to the area and volume of 2D and 3D shapes when you enlarge them?
1 out of 3
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
1 out of 3
A colourful cube is made from little red and yellow cubes. But can you work out how many of each?
2 out of 3
What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?
2 out of 3
My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.
2 out of 3
Here's a chance to work with large numbers...
2 out of 3
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
2 out of 3
How can you change the surface area of a cuboid but keep its volume the same? How can you change the volume but keep the surface area the same?
3 out of 3
Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.
3 out of 3
An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?
