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Investigating the relationship between the T-total and the T-number.
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Mathematics GCSE Coursework Part 1 Investigating the relationship between the T-total and the T-number. This is the 9 by 9 grid: 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 Let T be the T-number and Y be the T-total. 1 2 3 11 20 We focus on the T-shape drawn above first. If the other numbers in the T-shape other than the T-number are taken away from the T-number, a T-shape like the one drawn below is found: T-18-1 T-18 T-18+1 T-9 T Because of the grid size, the centre column of the T-shape is decreasing by 9 up the column from the T-number at the bottom. Thus a formula can be worked out to find any T-total with the T-number given: Y = T + T - 9 + T - 18 + T - 18 + 1 + T - 18 - 1 Y = 5T - 63 Test For the T-shape drawn before, the T-number is 20 and the T-total is: 20 + 11 + 2 + 1 + 3 = 37 Let us...
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