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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?
Paving Paths
How many different ways can I lay 10 paving slabs, each 2 foot by 1 foot, to make a path 2 foot wide and 10 foot long from my back door into my garden, without cutting any of the paving slabs?
Age 11 to 14 Short
Challenge Level
Consider all of the five-digit numbers which we can form using only
the digits 2, 4, 6 and 8.
If these numbers are arranged in ascending order, what is the 512th number?
If these numbers are arranged in ascending order, what is the 512th number?
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.