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Maths Coursework on Diagonal Differences
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Maths Coursework on Diagonal Differences Introduction: I am given a 10 by 10 grid. I am going to find the diagonal difference of the different size boxes (e.g. 3 by 3, 4 by 4) within the 10 by 10 grid, by multiplying the opposite corners which result in the two answers, we then deduct these two to get the final answer for that size. This is the grid that I will use to help me investigate the diagonal difference. 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 Aim: I am going to investigate the diagonal difference of a 2 by 2 box inside a 10 by 10 grid. I will then try to find a formula which should relate to the diagonal difference of each square, I will then further this investigation by trying to find the diagonal difference of a 5 by 5 grid and an 11 by 11 grid, and find the formula to see if they are the same...
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