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QUESTION 1 A T-shape is drawn onto grid like the one below (fig.1.1). The grid can be of any size, e.g. 9x9, 4x4, 100x100 etc. In question 1 the only grid size that will be used will be the 9x9 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 (fig.1.1) The T-shape has a T-number, this the number that is at the bottom of the T-shape. The T-number of the T-shape in fig.1 is 18. The T-total of the T-shape is all of the numbers the total of all of the numbers in the T-shape. The T-total of T-shape in fig.1.1 is: 7+8+9+13+18= 55 I will now investigate the relationship between the T-total and the T-number. The coloured section in Fig.1.2 shows all of the possible positions that the T-number could be located in. 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 (Fig.1.2) I noticed that if the number at the bottom of the T-shape is T, the number above it is T-9. This is because if you start at the...

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