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GCSE T-totals Coursework Introduction In this project I will be investigating the formula, patterns and relationships between the t-numbers, t-shape and t-totals in different sized grids 10x10, 9x9, 8x8, 7x7. I have a grid nine by nine starting with the numbers 1-54. There is a shape in the grid called the t-shape which is highlighted in red shown in the table below. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 The t-number is the number at the bottom of the t-shape which is 20 The t-total is all the numbers in the t added up together which is 1+2+3+11+20=37 T-number T-total 20 37 21 42 22 47 23 52 24 57 25 62 26 67 As you can see: The t-number increases by 1 each time. The t-total increases by 5 each time is there a link? 20x5=100 100-63=37 the t-total The link between 63 and 9 is 7 because 7x9=63 So the formula is T-number x 5 (7x9) 5n -number-7x9 How did I work out this and what can we do with this formula? The formula starts with 5 as there is a rise between the...

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