2 How many squares on a chessboard? 1 x 1 = 642 x 2 = 493 x 3 = 364 x 4 = 255 x 5 = 166 x 6 = 97 x 7 = 48 x 8 = 1Clue 1There isn’t a clue 2.204=
3 There is also a formula for adding successive square numbers. You may be familiar with the formula that adds up successive whole numbers.How is itDerived?.There is also a formula for adding successive square numbers.Check that it works for the chessboard problem.How is itDerived?.Research a formula that adds up successive cube numbers.
9 A Knights Tour of an 8 x 8 Chessboard 21345678910111213141516171819202122232425262728293031323334353637384041424344454647484950515253543960646356595761625855A Knights Tour of an 8 x 8 ChessboardDe Moivre’s Solution
10 A Knights Tour of an 8 x 8 Chessboard Euler’s Magic Square Solution21345678910121314151617181920212325262728293031323335373840414243444546474850515253546064635659576162585549243934362211260What’s the magic number?260
11 A Knights Tour of an 8 x 8 Chessboard Euler’s re-entrant half-board Solution21345678910121314151617181920212325262728293031323335373840414243444546474850515253546064635659576162585549243934362211
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