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Mustafa Rafik 11.7API Maths Coursework-Diagonal Difference Introduction We are given an eight by eight grid. Find the diagonal difference of different size grids (For e.g. 3 by 3, 4 by 4) within the eight by eight grid, by multiplying the opposite corners which results in two answers, we then deduct these two to get a final answer for that size. 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 Sara writes down a 3 by 3 grid from the above table. 10 11 12 18 19 20 26 27 28 She notices that when you multiply the opposite corners the difference between the products is 32. For example 10 times 28 = 280 12 times 26 = 312 The diagonal difference is 312 - 280 = 32 Aim I have been asked to investigate the diagonal difference of a three by three grid inside an eight by eight grid. I will then try to find a formula which relates to the diagonal difference of each square, I will then further this investigation by trying to find the...

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