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## 'Robert's Spreadsheet' printed from http://nrich.maths.org/

Robert made a spreadsheet with eight columns. He arranged the
numbers from 1 to 1000 in his spreadsheet, and then coloured in all
the square numbers.

Here is a picture showing the first few rows of Robert's
spreadsheet:

Robert noticed some interesting patterns beginning to emerge.

Why not create your own copy of Robert's spreadsheet and see what
patterns you notice?

Can you explain the patterns you find?

Will the patterns continue? How can you be sure?