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This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

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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?

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Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

Weekly Problem 24 - 2007

Stage: 2 and 3 Challenge Level: Challenge Level:1
Which of the following shaded regions has an area different from the other shaded regions?

Five areas on a 3 by 3 grid.


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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