3 out of 3
Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.
1 out of 3
In this game, try not to colour two adjacent regions the same colour. Can you work out a strategy?
2 out of 3
This practical investigation invites you to make tessellating shapes in a similar way to the artist Escher.
1 out of 3
If you have three circular objects, you could arrange them so that they are separate, touching, overlapping or inside each other. Can you investigate all the different possibilities?
1 out of 3
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
1 out of 3
Use combinatoric probabilities to work out the probability that you are genetically unique!
1 out of 3
Is there a best way to stack cans? What do different supermarkets do? How high can you safely stack the cans?
2 out of 3
Take 5 cubes of one colour and 2 of another colour. How many different ways can you join them if the 5 must touch the table and the 2 must not touch the table?
1 out of 3
Investigate what happens when you add house numbers along a street in different ways.
