T-Total Course Work
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GCSE MATHS T-Total Course Work PART 1 I am investigating the relationship between the T-total and T-number on a 9 x 9 grid by using a variety of 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 21 1 2 3 T-number = 20 Numbers: 1 2 3 11 20 20-1 20-2 20-3 20-4 20 T-19 T-18 T-17 T-9 T T-total = 37 11 20 2 3 4 T-number = 21 Numbers: 2 3 4 12 21 21-2 21-3 21-4 21-12 21 T-19 T-18 T-17 T-9 T T-total = 42 12 21 (T-19) + (T-18) + (T-17) + (T-9) + T = 5 x T - 63 = 5T - 63 I tested that when: T-Number = 80 T-Total = 337 337 = 5T - 63 337 = (5 x 80) - 63 = (5 x 80 = 400) - 63 = 400 -63 = 337 337 = 337 Formula is correct. I also tested it when: T-Number = 20 T-Total = 27 5T-63 = (5x20)-63 = 100-63 =73 Formula Works, it is correct This proves that the Formula = 5T- 63 works and is correct for any T-Shape on a 9 x 9 grid This shows that the connection between the T-Total and...


