You may also like to take a look at our I Like to Prove It! feature which gives you tasks for a similar purpose but in the context of number.
Counting Stick Conjectures
Break it up!
In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?
School fair necklaces
Diagonally Square
Brush Loads
How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.