Cracked tiles problem

Screencapture from Maths300 software download

Congratulations Year 7 students on the way they tackled the “Cracked Tiles” problem on Maths 300 today. The problem is that a man has just laid tiles in a rectangular room, and now the electrician wants to lay a diagonal cable across the floor, cracking the tiles. How many tiles need to be replaced?

If you can work out a formula, or demonstrate a way of working out the answer for any sized room, you will be rewarded handsomely! If you like these sort of logic problems, you may like to try “Who owns the fish?”.

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