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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 Look at the T-shape drawn on the 9 by 9 number grid. The total of the numbers inside 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 T-shape is 20. 1) The relationship between the T-Total and the T-Number. T If you take the other numbers in the T-Shape away from the T-Number you get a T-Shape like this. T-19 T-18 T-17 T-9 T You will notice that the centre column of the T-Shape is going up in 9's because of the table size. With the table set out like this a formula can be worked out to find any T-Total on this size grid. This is done in the working below:- T-total = T-19+T-18+T-17+T-9+T = 5T-63 Now to test this formula to see if it works For T-total I will use the letter X For...

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