Investigation into Number Grids.
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Jonathan Shields 4CH Number Grids Square Grids 1 2 3 4 5 n n+1 n+2 n+3 n+4 11 12 13 14 15 n+10 n+11 n+12 n+13 n+14 21 22 23 24 25 n+20 n+21 n+22 n+23 n+24 31 32 33 34 35 n+30 n+31 n+32 n+33 n+34 41 42 43 44 45 n+40 n+41 n+42 n+43 n+44 The left hand grid (with a black boarder) shows the number grid as it is. The left hand grid (boxed in grey) shows the numbers relative to n. Grid Size Working Answer 2 x 2 (1 x 12) - (2 x 11) -10 3 x 3 (1 x 23) - (3 x 21) -40 4 x 4 (1 x 34) - (4 x 31) -90 5 x 5 (1 x 45) - (5 x 41) -160 So for 2 x 2, where n is the width, and therefore the length of the square. [nē+11n] - [(n+1)(n+10] [nē+11n] - [nē+10n+n+10] 11n + 10n + n +10 = -10 And for 3 x 3. [nē+22n] - [(n+2)(n+20)] [nē+22n] - [nē+20n+2n +40] 22n - 20n - 2n - 40 = -40 Examples using different grids: For 4 x 4. 11 12 13 14 21 22 23 24 31 32 33 34 41 42 43 44 So (11 x 44) - (14 x 41) = - 90 So for any 4 x 4 box the...


