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I am going to investigate taking a square of numbers from a grid, multiplying the opposite corners and finding the difference of these two results
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| Submitted: Wed Aug 13 2003
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Maths Coursework Corners I am going to investigate taking a square of numbers from a grid, multiplying the opposite corners and finding the difference of these two results. To start I used a 5x5 grid: 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 Then I took 2x2 squares out of this grid and multiplied the opposite corners, to find the difference: 1 2 6 7 1 x 7 = 7 2 x 6 = 12 12 - 7 = 5 So the difference between the answers is 5. Next I took another 2x2 square from the same grid. 19 20 24 25 19 x 25 = 475 20 x 24 = 480 480 - 475 = 5 The difference is 5 again. I thought this could mean that all 2x2 squares in a 5x5 grid would come out with a difference of 5. To check this, I took another 2x2 square out of the grid to check. 12 13 17 18 12 x 18 = 216 13 x 17 = 221 221 - 216 = 5 So this shows that my prediction was right and every...
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