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Maths Coursework By Tom Nixon 10HS THE QUESTION 91 92 93 94 95 96 97 98 99 100 81 82 83 84 85 86 87 88 89 90 71 72 73 74 75 76 77 78 79 80 61 62 63 64 65 66 67 68 69 70 51 52 53 54 55 56 57 58 59 60 41 42 43 44 45 46 47 48 49 50 31 32 33 34 35 36 37 38 39 40 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 7 8 9 10 This is a 3-step stair. The total of the numbers inside the stair shape is 25+26+27+35+36+45 = 194 The stair total for this 3-step stair is 194. PART 1 For other 3-step stairs, investigate the relationship between the stair total and the position of the stair shape on the grid. PART 2 Investigate further the relationship between the stair totals and other step stairs on other number grids. PART 1 The total of the squares inside the stair is all the squares added together. The stair number is the number in the bottom left hand corner of the stair. We can call this number n. In order to see a pattern between the totals of the shapes, we can arrange information in a table. n 6n +44 1 6 50 2 12 54 3 18 64 4 24 68 25 150 194 As you can see from the above table we can come to a formula of: T = 6n + 44 T is the stair total, n the stair number and 44 is...

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