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Opposite Corners Maths investigation Introduction For this investigation I am going to try and develop a formula to work out the difference between the products of the numbers in the opposite corners of any rectangle that can be drawn on a 10 x 10 grid composing of 100 squares. I shall use tables to present my findings; I shall be making predictions and proving my predictions right or wrong with examples. I will be using algebra to prove any of the rules I manage to create by analysing my results. Method To begin with I shall first find the difference between the products of the numbers in the opposite corners of 2x3 rectangles. 1. 34 x 26 = 884 24 x 36 = 864 20 Do all 2x3 rectangles have a difference of 20? 2. 58 x 50 = 2990 48 x 60 = 2880 20 It appears that they do. I predict that all 2x3 rectangles have...

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