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Summing Consecutive Numbers

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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Fibs

The well known Fibonacci sequence is 1 ,1, 2, 3, 5, 8, 13, 21.... How many Fibonacci sequences can you find containing the number 196 as one of the terms?

Square Grid

Age 11 to 14 Short Challenge Level:

A square is split into a 100 by 100 square grid.

100 squares in the first row are shaded, 99 in the second row, 98 in the third row, and so on.

What fraction of the whole square is shaded?


This problem is taken from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.