Investigating how the numbers worked on a number grid.
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Maths GCSE Coursework Kaleigh Mills Investigation I was given the task of investigating how the numbers worked on a number grid. This is what I did to find out: I chose a grid of four numbers and I multiplied the Top Left (TL) by the Bottom Right (BR) then I did the same with the Top Right (TR) and the Bottom Left (BL). I then found out the difference between the two outcomes. n n+1 n+10 n+ 11 E.g. 12 13 22 23 44 45 54 55 After trying a few 2 x 2 grids I then went on to do some 3 x 3 grids. n n + 2 n + 20 n + 22 E.g. 61 62 63 71 72 73 81 82 83 5 6 7 15 16 17 25 26 27 n n+3 n+ 30 n+ 33 n(n + 33) = n2 + 33n (n + 3) (n + 30) = n2 + 33n + 90 The difference between these two equations is 90. In order to test the rule I tried a few more 4 x 4 grids. 35 36 37 38 45 46 47 48 55 56 57 58 65 66 67 68 5 6 7 8 15 16 17 18 25 26 27 28 35 36 37 38 5 by 5 n n+4 n+40 n+44 53 54 55 56 57 63 64 65 66 67 73 74 75 76 77 83 84 85 86 87 93 94 95 96 97 5 6 7 8 9 15 16 17 18 19 25 26 27 28 29 35 36 37 38 39 45 46 47 48 49 After testing a lot of grids I have...


