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15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
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Age 11 to 14 Short Challenge Level:
In Andrea's house, all floors are square, and covered with square tiles.Tiles along the diagonal are purple, and the other tiles are white, as shown in the diagram.
There are 109 purple tiles on the bathroom floor.
How many tiles are there altogether on the bathroom floor?
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.