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Maths Number Grid.  

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James Pearson 11h Maths Number Grid Coursework 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 In the 6x8 table the grey highlights 6 cells (in a three by two box) of the area. Multiplying the bottom left by the upper right, and then subtracting from that the upper left multiplied by the lower right of those cells, we find that: (16x12)-(10x18)=12 If we then examine the orange box, which has the same width and height as the grey one, we also find that: (32x28)-(26x34)=12 Therefore it seems that it is the same wherever the box is placed the result is the same provided it is of a congruent shape. 2x4 Testing out for two 2x4 boxes on a grid of width 6 we get 18 as the difference for both boxes. 44x41-38x47=18 13x10-7x16=18 2x5 Testing out for two 2x5 boxes on a grid of width 6 we get 24 as the difference for both boxes. 19x17-13x23=24 37x35-31x41=24 It seems that there is a pattern here, as the result has increased by 6 every...

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