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My coursework task is to investigate why, in a number grid square of 1-100, when a section of two by two squares is extracted and the two opposite squares are multiplied and then subtracted the result is always 10.  

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Math Coursework My coursework task is to investigate why, in a number grid square of 1-100, when a section of two by two squares is extracted and the two opposite squares are multiplied and then subtracted the result is always 10. I will also be testing and studying whether it is true for three by three, four by four, five by five e.t.c number squares. I shall also be studying what will happen if I change the size of the grid square upon which I am extracting the numbers from. E.g. 2x2 square 3x3 square 2 by 2 Analyses (2x11) - (1x12) = 10 (35x44) - (34x45) = 10 (3x12) - (2x13) = 10 (99x90) - (89x100) = 10 As we can see the results clearly show that no matter what selection of 2x2 square we use the result will always be 10. We can show how and why the result is always 10...

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