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Man 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?

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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.

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Picturing Triangular Numbers

Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?

Forgotten Number

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

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.