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For other 3-step stairs, investigate the relationship between the stair total and the position of the stair shape on the grid. To start the investigation a 10x10-numbered grid square is used as illustrated below in table 1:  

Member rating: 8 out of 10 stars (17 votes) | Words: | Submitted: Tue Aug 19 2003

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Mill Hill County High School Year 11 Mathematics GCSE Coursework EDEXCEL 2003, SYLLABUS 1387/1388 F, I & H Tejesh Patel Class 11H Assignment Part 1 Below is a 10x10 number grid: The total on the numbers coloured in blue = 90 (i.e. 1+11+12+21+22+23) Therefore the stair total in this 3-step stair = 90 Part 1 Objective: For other 3-step stairs, investigate the relationship between the stair total and the position of the stair shape on the grid. To start the investigation a 10x10-numbered grid square is used as illustrated below in table 1: From the complete 10 x 10 numbered grid square, we use part of it to carry out our initial investigation, for example the grid box on the right shows a slice of the 10 x 10 gird square, i.e. 6 boxes representing the numbers 1,11,12,21,22,23 (The 3-step stair) From this basic numbered square that looks like stairs or steps we can start to establish if there is a pattern. If a pattern...

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