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Answers
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Q01. How to make magic square using 1 to (2*n+1)
Alwasy move number from row and column to (row+1) and (column+1)
- Step 1
- Make a square grid matrix.
- Let row 1 at top and center column at C.
- Put 1 at the center of top row 1.
- Step 2
- Put 2 or next number current row + 1 and current column + 1.
- If it is outside the square, put number at bottom row and current column + 1.
- If the new position is occupied, put the number just below previous numbe.
- Step 3
- Put 3 or next number at current row +1 and current column + 1.
- If it is outside the square, put then number at current row +1 and column 1.
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Q02. Find patterns on computer
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Magic square program
Numbers from 1 to (2*n+1)^2
- Procedures
- Click program.
- Click run at current location (No down load).
- Click yes to run the program.
- Give options (3, 5, 7, 9, 11, 13 or 15)
- 3 for matrix order 3 (Number 1 to 9)
- 5 for matrix order 5 (Number 1 to 25)
- 7 for matrix order 7 (Number 1 to 49)
- 9 for matrix order 9 (Number 1 to 81)
- 11 for matrix order 11 (Number 1 to 121)
- 13 for matrix order 13 (Number 1 to 169)
- 15 for matrix order 15 (Number 1 to 225)
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Q03. Square matrix
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Sample of matrix :
(1,1) means row 1 and column 1.
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| 1,1 | 1,2 | 1,3 |
| 2,1 | 2,2 | 2,3 |
| 3,1 | 3,2 | 3,3 |
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Q04. Example : Magic square for 1 to 9
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Step 1 :
put 1 at center of top row.
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Step 2 :
Position for 1 is (1,2). Position for 2 is (0,3)
It is ouside the square matrix.
Put 2 at bottom row and column 3. That is (3,3).
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Step 3 :
Position for 2 is (3,3). Position for 3 is (2,4)
It is ouside the square matrix.
Put 3 at row 2 and column 1. That is (2,1).
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Step 4 :
Position for 3 is (2,1). Position for 4 is (2,2)
(2,2) is occupied by 1.
Put 4 just below 3. That is (1,1).
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Step 5 :
Position for 4 is (1,1). Position for 5 is (2,2)
Hence 5 is at (2,2).
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Step 6 :
Position for 5 is (2,2).
Position for 6 is (1,3)
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Step 7 :
Position for 6 is (1,3).
New Position for 6 is (0,4).
Put 7 just below 6 at (2,3).
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Step 8 :
Position for 7 is (2,3).
New Position for 8 is (1,4).
Put 8 at (1,1).
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Step 9 :
Position for 8 is (1,1).
New Position for 9 is (0,2).
Put 9 at (3,2).
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Q05. Answer
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Q06. Answer
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Q07. Answer
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Q08. Answer
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Q09. Answer
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Q10. Answer
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