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Number Stairs Investigation  

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Edexcel Syllabus 1387 Maths Coursework Ms Finlay (FL) Number Stairs Prabu Singh 11EW 9085 Number Stairs Investigation Objective For this investigation, a 10 x 10 numbered grid square will be needed as illustrated below. 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 From the complete 10 x 10 numbered grid square, I will use it to carry out investigations in Part 1. I will look at random examples of three step stairs on this grid and establish the relationship between the stair total and the position of the stair shape on the grid. In Part 2, I will use different size number grids, to investigate further the relationship between the stair totals and different size step stairs. Examples of 3-step stairs and their stair total 1. 2. 3. 4. Comparison between the Reference and the Stair Total By observing the grid and my results, the stair total for example number four, would be: 5 + (5 + 1) + (5 + 2) + (5 + 3) + (5 + 10) + (5 +...

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