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Magic Constants
In a Magic Square all the rows, columns and diagonals add to the 'Magic Constant'. How would you change the magic constant of this square?
More Bridge Building
Which parts of these framework bridges are in tension and which parts are in compression?
New House
In this investigation, you must try to make houses using cubes. If the base must not spill over 4 squares and you have 7 cubes which stand for 7 rooms, what different designs can you come up with?
Gutter
Manufacturers need to minimise the amount of material used to make their product. What is the best cross-section for a gutter?
Like Powers
Icosian Game
This problem is about investigating whether it is possible to start at one vertex of a platonic solid and visit every other vertex once only returning to the vertex you started at.