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Variations of Magic Square

Variations of Magic Square. Done By: Jacus Pek Le Xuan (16) Liu Tianyi (10) Teoh Kai Xiang (24). Introduction. a. b. c. d. x. f. g. h. j. Diagram A. Example of a Magic Square Place the numbers 1 to 9 in the circles so that the numbers in a line add up to 15. 1. 2. 3.

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Variations of Magic Square

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  1. Variations of Magic Square Done By: JacusPek Le Xuan(16) Liu Tianyi (10) Teoh Kai Xiang (24)

  2. Introduction a b c d x f g h j Diagram A

  3. Example of a Magic Square Place the numbers 1 to 9 in the circles so that the numbers in a line add up to 15. 1 2 3 The answer to the question is thus. The sum is 15. 6 5 4 7 8 9

  4. HOW TO SOLVE SUCH QUESTIONS a b c Finding X • Let the numbers in the circles be a, b, c, d, f, g, h, j, x, with x being the middle number. • As the sum of the numbers in each line is 15, there are 4 sums in diagram A. The sum of these 4 sums are 4*15=60 • When you add the sums together, you get the algebraic equation as: a+b+c+d+f+g+h+j+4x. You can then add the values 1 to 9 to get 45, and subtract the first with the second, giving you 3x. Then x= the value/3. • 60-45=15 15/3=5 Thus the number in the center=5. • Then you can find all the other numbers. d x f g h j

  5. Finding The other numbers a b c d 5 f g h j

  6. Objectives/Hypotheses • To find the general formulae for calculating x and the other variables of magic squares. • To create a variation of the magic square and find out the formulae for them.

  7. Method/Materials • Algebra

  8. THANK YOU

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