A tennis ball is served from directly above the baseline (assume
the ball travels in a straight line). What is the minimum height
that the ball can be hit at to ensure it lands in the service area?
You have 27 small cubes, 3 each of nine colours. Use the small cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of every colour.
Is it possible to remove ten unit cubes from a 3 by 3 by 3 cube made from 27 unit cubes so that the surface area of the remaining solid is the same as the surface area of the original 3 by 3 by 3 cube?
To submit your solutions you?ll need to have a way of recording
how the pieces fit together. The seven pieces are numbered and
coloured. You can fill in a table showing your solution and colour
a sketch cube correspondingly. Click
here to rotate the pieces.