don steward
mathematics teaching 10 ~ 16

Friday, 8 April 2016

generalising GCSE questions (7)

a question from Edexcel asks how tiles of a specified size can be put together to cover a (very small) floor:

the solution to this (without cutting any tiles) is not that easy

what might be interesting is to consider tiling floors with these tiles for various dimensions where one is fixed:

the generality is to show (prove) that any dimension can be tiled,
by induction

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