You may also like

problem icon

Trice

ABCDEFGH is a 3 by 3 by 3 cube. Point P is 1/3 along AB (that is AP : PB = 1 : 2), point Q is 1/3 along GH and point R is 1/3 along ED. What is the area of the triangle PQR?

problem icon

Nine Colours

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?

problem icon

Marbles in a Box

How many winning lines can you make in a three-dimensional version of noughts and crosses?

Rotation Identification

Age 11 to 14 Short Challenge Level:

Look at this shape made from 5 cubes.





Which of the shapes below can be obtained by rotating it?


          Shape A                   Shape B                     Shape C                      Shape D
                    






This problem is taken from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.