problem
Colourful cube
Age
11 to 14
Challenge level
A colourful cube is made from little red and yellow cubes. But can you work out how many of each?
problem
Sending a parcel
Age
11 to 14
Challenge level
What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?
problem
Cuboid challenge
Age
11 to 16
Challenge level
What's the largest volume of box you can make from a square of paper?
problem
Changing areas, changing volumes
Age
11 to 14
Challenge level
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?
problem
Cuboids
Age
11 to 14
Challenge level
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?
problem
Efficient cutting
Age
11 to 14
Challenge level
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.
problem
Cola can
Age
11 to 14
Challenge level
An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?
problem
Painted cube
Age
14 to 16
Challenge level
Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?