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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?
Human Food
Sam displays cans in 3 triangular stacks. With the same number he could make one large triangular stack or stack them all in a square based pyramid. How many cans are there how were they arranged?
Sam Again
Here is a collection of puzzles about Sam's shop sent in by club members. Perhaps you can make up more puzzles, find formulas or find general methods.
Age 11 to 14
Challenge Level
I have forgotten the number of the combination of the lock on my
briefcase. I did have a method for remembering it...
It went as follows:
The number is equal to the sum of the cubes of its own digits.
It is a three digit number less than 500
It is the sum of consecutive factorials.
It is a triangle number.
NRICH is part of the family of activities in the Millennium Mathematics Project.