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Task Description Look at this shape drawn on a 9 x 9 number grid. The total of the numbers in the T-Shape is 1+2+3+11+20 =37. This is called the T-Total. The number at the bottom of the T-shape is called the T-Number. The T-number for this shape is 20. Investigate 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 42 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 The task that I have been set is to investigate the relationships between the T-Totals, as outlined in the task on page one. In order to achieve the task I will begin with a 9 x 9 square and move on to different number grids to see if there is a relationship between any of the grids. To demonstrate how this works, I will draw numerous grids showing the T-Totals and how they have been solved. My predictions that I aim to prove are that the T-Totals have an Algebraic Rule to link the two amounts together. An example of which is below; 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 42 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 As you can see, on this...

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