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Introduction In this investigation, I have been asked to investigate on a number grid that is 10 wide and 10 descending. We have been asked to test the equation (Top left x Bottom right) - (Top right x Bottom left) on grids varying in size, starting at 2x2, then on to 3x3 and so on. I will describe the constraints of the equation and explain the algebraic rule that determines the end outcome of the grid. I will then relate my new formula and describe how it can be related with rectangles. I will then find a formula that will suit a Master grid. A diagram of the number grid is shown below: 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 2*2 squares Equation: (TL*BR)-(TR*BL) Example 1 22 23 32 33 (22*33)- (23*32) = -10 Example 2 37 38 47 48 (37*48)- (38*47) = -10 Example 3 57 58 67 68 (57*68)- (58*67) = -10 Example 4 1 2 12 11 (1*12)- (2*11) = -10 I predict that with all 2*2 grid squares the equation will always produce an answer of -10 Example5 56 57 66 67 (56*67)- (57*66) = -10 I...

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