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Mathematics GCSE Coursework - Number Stairs Investigation PART 1 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 10 x 10 size grid with a 3-stair shape in blue. This is called the stair total. The stair total for this stair shape is 25 + 26 + 27 + 35 + 36 + 45 = 194. To investigate the relationship between the stair total and the position of the stair shape, I will use the far-left bottom square as my stair number: This is always the smallest number in the stair shape. It is 25 for this stair shape. I will then translate this 3-stair shape to different positions around this 10 x 10 grid: 46 36 37 26 27 28 The stair-total for this stair shape is 26 + 27 + 28 + 36 + 37 + 46 = 200 87 77 78 67 68 69 The stair-total for this stair shape is 67 + 68 + 69 + 77 + 78 + 87 = 446 88 78 79 68 69 70 The stair-total for this stair shape...

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