Cubes
How many faces can you see when you arrange these three cubes in different ways?
How many faces can you see when you arrange these three cubes in different ways?
The challenge for you is to make a string of six (or more!) graded cubes.
This task depends on groups working collaboratively, discussing and reasoning to agree a final product.
This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?
This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.
What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?
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?
Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
How many winning lines can you make in a three-dimensional version of noughts and crosses?
Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?