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Friday 13th July 2007 Number Grid Coursework For this piece of coursework, I will investigate the difference when 2x2, 3x3, 4x4, 5x5 and rectangle snapshots are taken from a 10x10 number grid and have their corners multiplied and the difference worked out. For the first part, I will use 2x2 snapshots. 2x2 Boxes Box 1 2 3 12 13 2x13=26 --> 36-26=10 3x12=36 Box 2 32 33 42 43 32x43=1376 --> 1386-1376=10 33x42=1386 Box 3 6 7 16 17 6x17=102 --> 112-102=10 7x16=112 Box 4 5 6 15 16 5x16=80 --> 90-80=10 6x15=90 I have noticed the pattern here. Whenever the numbers are diagonally multiplied and then the difference is found, you always end up with 10. The hypothesis I am going to make is that if I was to work out the difference of another box taken from a 10x10 in a 2x2 snapshot, the difference I will find will be 10. Box 5 25 26 35 36 25x36=900 --> 910-900=10 26x35=910 My predictions that I made earlier about 'Box 5' have turned out to be correct as when I multiplied the numbers in...

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