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Ladoki Toya TASK 5 10 Heidelberg OPPOSITE CORNERS In this piece of coursework I am going to investigate the difference between the products of the numbers in the opposite corners of any rectangle on the 100 square 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 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 10 2x3 The Products of the numbers in the opposite corners are. 1 2 3 11 12 13 1x13=12 11x3=33 and the difference between the products are 33-13=20 I have chosen to work with another 2x3 rectangle using the numbers 24, 36, and 34,26. 24 25 26 34 35 36 The products are 24x36=864 34x26=884 and the difference between the products are 884-864=20 So far I have noticed that when I detect the difference between the products of 2x3 rectangles the answers are always 20, so later on in my investigation I plan to find the answer using algebra to find out if there was a particular pattern. 2x4 66 67 68 69 76 77 78 79 66x79=5214 76x69=5244 5244-5214=30 41 42 43 44 51 52 53 54 41x54=2214 51x44=2244 2244-2214=30 81 82 83 84 91 92 93 94 81x94=7614 91x84=7644 7644-7614=30 When you multiply numbers on the top left hand corner by the bottom right hand corner the products are always higher than when...

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