What happens to the area and volume of 2D and 3D shapes when you enlarge them?
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
A colourful cube is made from little red and yellow cubes. But can you work out how many of each?
According to Plutarch, the Greeks found all the rectangles with integer sides, whose areas are equal to their perimeters. Can you find them? What rectangular boxes, with integer sides, have their surface areas equal to their volumes?
What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?
