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Tiles on a Patio

How many ways can you find of tiling the square patio, using square tiles of different sizes?

Squarely in the Grid

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

How many different squares can be drawn in total by joining the dots with line segments in the part of the square lattice shown below?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.


This problem is taken from the UKMT Mathematical Challenges.

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