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Paving the Way
A man paved a square courtyard and then decided that it was too small. He took up the tiles, bought 100 more and used them to pave another square courtyard. How many tiles did he use altogether?
Chess
What would be the smallest number of moves needed to move a Knight from a chess set from one corner to the opposite corner of a 99 by 99 square board?
Age 11 to 14 Short Challenge Level:
A building has 50 storeys. 25 of the storeys are painted black and 25 are painted gold.
The sum of the number of gold storeys in the top half and the number of black storeys in the bottom half of the building is 28.
How many gold storeys are there in the top half of the building?
This problem is adapted from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.