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T-Totals.  

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Mathematics Coursework - T-Totals Introduction 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 T-shape is drawn on the 9 by 9 number grid as shown above. 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. Part 1: Investigate the relationship between the T-total and the T-number We can investigate the relationship between the T-total and the T-number by translating the T shape several times and by looking at how this affects the values of T-number and T-total. A translation moves every point of the shape the same distance and direction. A translation is described by a vector in the form of (a,b) where the value of a shows how many spaces the shape moves horizontally. If the value of a is positive the shape moves to the right and if the value of a is negative the shape...

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