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Opposite Corners My task is to investigate a number grid. If you take a 2x3 rectangle and place it on a 10x10 number grid the diagonal difference of the numbers inside is 20. I want to first investigate whether the diagonal difference is always 20, no matter where the rectangle is, and prove this. I will then investigate further by changing the size of the number grid and of the rectangle. First I investigated two rectangles to see if the diagonal difference of both was 20. Both of these diagonal differences were 20. I decided to make the rectangle larger by one square wider and one deeper to see what happens. Again I investigated two rectangles to see if the diagonal difference is the same for both. Both came out as 60 so the formula is: x²+23x-(x²+60+23x)=60 So far the diagonal differences are both factors of twenty, meaning the first digit is an even number (When...

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