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Investigation of T-Shape: This is a grind9 by 9, and there is at shape in the grind which is highlighted in colour red. It is called t-Shape. 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 The number 20 at the bottom of the t-shape is called t- number (n), all the numbers highlighted add together is called t-total (t). Part 1 Investigate the relationship between the t-total and t-number t-number t-total 20 37 21 42 22 47 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 As you see when t-number goes up 1 the t-total goes up 5 So, ratio of t-number and t-total is 1 : 5 Another way to work out the t-total is by formula n-19 n-18 n-17 n-9 n So, total=n+(n-9)+(n-17)+(n-18)+(n-19) =5n-63 So, t=5n-63, when t is the t-total and n is it's position (the bottom number) The formula starts with 5n because the t-total rise by 5 for every t-number, and -63 works out by the difference of the t-number and another...

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