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T-totals  

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Maths Coursework - T-totals Introduction For my T-totals maths coursework I will investigate the relationship between the T-total and T-number, the T-total and T-number and grid size and the T-shape in different positions. 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 Looking at this T-shape drawn on a 9x9 grid, The total of the numbers inside the T-shape is 2+3+4+12+21=42 This is called the T-total. The number at the bottom of the shape is the T-number. The T-number for this shape is 21. Part 1 For the first part of my coursework I must investigate a relationship between the T-total and the T-number. To do this I have chosen the following T-shapes: 1 2 3 11 20 4 5 6 14 23 & I noticed that the difference between each number in the T-shape and the T-number was always the same no matter what T-shape you use. (N = T-number ) 23-4 23-5 23-6 23-14 23 20-1 20-2 20-3 20-11 20 & = With the table set out like this a formula can be worked out to find any T-Total on this...

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