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An investigation into Number Grids We are investigating the effect of number grids and to try and explain the pattern between a 2x2 selection grid on a 10x10 grid. We found that if you multiply the bottom left number and the top right number and the bottom right number and top left number, then subtract one from the other you will find that the difference is 10. As is shown in the below table and number grid:- 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 If we multiply 3x 14 we get 42 and if we multiply the sum of 4x13 we get 52. 42 subtracted from 52 equals 10. This occurs for any selection square sized grids ie 3x3, 4x4 etc in a 10x10 grid as is shown in the table below.(Blue minus Red) Due to the fact that the difference is always 10 we have decided to show this in a table algebraically. If we...

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