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Number Stairs

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GCSE Coursework - Number Stairs Investigation Part 1 This is a 10 x 10 size grid with a 3-stair shape in gray. 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. Now , I'm going to translate this 3-stair shape to different positions around the 10 x 10 grid: The stair-total for this stair shape is 24 + 25 + 26 + 34 + 35 + 44 = 188 The stair-total for this stair shape is 26 +27 + 28 + 36 + 37 + 46 = 200 ...

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