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T-Totals  

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Maths Course Work T-Totals Introduction Looking at a grid of 9*9, with a t-shape you can see that the totals inside the T-shape.=37 E.g.1+2+3+11+21=37. This is called a T-total =37 And T-number is the number on the T-shape =20 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 Task I have been set a task to: - 1) Investigate the relationship between the T-total and the T-number. 2) Use grid of different sizes. Translate the T-shape to different position. Investigate relationships between the T-total, the T-numbers and the grid size. 3) Use grids of different sizes again. Try other transformation and combinations of transformations. Investigate relationship between the T-total, the T-numbers, the grid size and the transformations. Standard T-shapes 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 If I input the results from several T-shape into a table it look something like this T-number 20 21 22 23 24 25 26 T-total 37 42 47 52 57 62 67 From this table I can quite clearly see that there is a difference of 5 between adjacent T-numbers. I can now a simple process of trial and improvement to...

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