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A 5 by 5 magic square with 7 in the center can be constructed by arranging numbers 1 through 25 in such a way that each row, column, and diagonal sums to the same magic constant. For a 5x5 magic square, the magic constant is 65. One possible arrangement with 7 in the center includes placing the numbers in a specific pattern around it while ensuring that all rows, columns, and diagonals add up to 65. An example configuration might look like this:

17  24   1   8  15
23   5  10  12  17
 4  11  14   7  25
10  12  19  22   3
11  18  21  16   9

In this example, 7 is indeed at the center, and all rows, columns, and diagonals sum to 65.

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Does the number 5 always have to be in the middle of a magic square?

Think! What if the magic square had an even number of cells. There's your answer.


How do you solve a magic square 33 with a sum of -12?

45


How do you solve square off?

The square of a number is the number, multiplied by itself. For example, the square of 5 is 5 x 5 = 25.You may also need to square an unknown number, like x2 = 25, solving for "x" in this case. In such a case, take the square root of both sides (with a calculator, if the number isn't a perfect square). In this case, the solution is 5. However, there are complications: minus 5 is also a solution.The square of a number is the number, multiplied by itself. For example, the square of 5 is 5 x 5 = 25.You may also need to square an unknown number, like x2 = 25, solving for "x" in this case. In such a case, take the square root of both sides (with a calculator, if the number isn't a perfect square). In this case, the solution is 5. However, there are complications: minus 5 is also a solution.The square of a number is the number, multiplied by itself. For example, the square of 5 is 5 x 5 = 25.You may also need to square an unknown number, like x2 = 25, solving for "x" in this case. In such a case, take the square root of both sides (with a calculator, if the number isn't a perfect square). In this case, the solution is 5. However, there are complications: minus 5 is also a solution.The square of a number is the number, multiplied by itself. For example, the square of 5 is 5 x 5 = 25.You may also need to square an unknown number, like x2 = 25, solving for "x" in this case. In such a case, take the square root of both sides (with a calculator, if the number isn't a perfect square). In this case, the solution is 5. However, there are complications: minus 5 is also a solution.


Integer magic square -5 to 10?

Take any valid 4 x 4 magic square. For example: 9 6 3 16 4 15 10 5 14 1 8 11 7 1 10 16 Decrease every number by 6, so that the smallest number you will find in the square is -5, and the largest number in the square will be 10. This is a valid magic square for the set of numbers given and can be rotated any of four ways, and reflected either of two ways.


What is the answer to the magic square quest of nine?

The magic square quest of nine typically refers to a 3x3 magic square where the numbers 1 through 9 are arranged such that each row, column, and diagonal sums to 15. One common arrangement is: 8 1 6 3 5 7 4 9 2 In this configuration, every row, column, and diagonal adds up to 15, fulfilling the criteria of a magic square.

Related Questions

Does the number 5 always have to be in the middle of a magic square?

Think! What if the magic square had an even number of cells. There's your answer.


What is the magic square that uses multiples of five?

Just take any magic square, and multiply every number by 5. Here you will get another magic square with all numbers multiples of 5.


How do you solve a magic square 33 with a sum of -12?

45


How do you solve square off?

The square of a number is the number, multiplied by itself. For example, the square of 5 is 5 x 5 = 25.You may also need to square an unknown number, like x2 = 25, solving for "x" in this case. In such a case, take the square root of both sides (with a calculator, if the number isn't a perfect square). In this case, the solution is 5. However, there are complications: minus 5 is also a solution.The square of a number is the number, multiplied by itself. For example, the square of 5 is 5 x 5 = 25.You may also need to square an unknown number, like x2 = 25, solving for "x" in this case. In such a case, take the square root of both sides (with a calculator, if the number isn't a perfect square). In this case, the solution is 5. However, there are complications: minus 5 is also a solution.The square of a number is the number, multiplied by itself. For example, the square of 5 is 5 x 5 = 25.You may also need to square an unknown number, like x2 = 25, solving for "x" in this case. In such a case, take the square root of both sides (with a calculator, if the number isn't a perfect square). In this case, the solution is 5. However, there are complications: minus 5 is also a solution.The square of a number is the number, multiplied by itself. For example, the square of 5 is 5 x 5 = 25.You may also need to square an unknown number, like x2 = 25, solving for "x" in this case. In such a case, take the square root of both sides (with a calculator, if the number isn't a perfect square). In this case, the solution is 5. However, there are complications: minus 5 is also a solution.


Integer magic square -5 to 10?

Take any valid 4 x 4 magic square. For example: 9 6 3 16 4 15 10 5 14 1 8 11 7 1 10 16 Decrease every number by 6, so that the smallest number you will find in the square is -5, and the largest number in the square will be 10. This is a valid magic square for the set of numbers given and can be rotated any of four ways, and reflected either of two ways.


What are two square numbers when the answer is 5?

This could be the solution to the sum : 12 + 22 = 1 + 4 = 5


Can sums all rows equal 15 using 1 -9 only once?

Assuming a 3x3 square, yes. If you want to know a solution where all rows, columns and diagonals sum to 15, it is: 2 9 4 7 5 3 6 1 8


What is the answer to the magic square quest of nine?

The magic square quest of nine typically refers to a 3x3 magic square where the numbers 1 through 9 are arranged such that each row, column, and diagonal sums to 15. One common arrangement is: 8 1 6 3 5 7 4 9 2 In this configuration, every row, column, and diagonal adds up to 15, fulfilling the criteria of a magic square.


What is the solution to get the square of 5?

25 Five times five equals twenty-five


What are all of the answers to a 5 by 5 magic square?

A 5x5 magic square is a grid filled with distinct integers from 1 to 25, arranged so that the sum of the numbers in each row, column, and both main diagonals equals the same magic constant, which is 65 for a 5x5 square. There are numerous configurations for a 5x5 magic square, with the most common methods including the Siamese method and the Strachey method. Each valid arrangement will meet the criteria of having unique integers and achieving the same sum across all rows, columns, and diagonals. There are 880 distinct 5x5 magic squares when accounting for rotations and reflections.


Magic square answers from 1 to 9?

[8] [1] [6] [3] [5] [7] [4] [9] [2]


How can you make a square using 1-9 with 5 in the middle and they must add up to 17?

To create a magic square using the numbers 1-9 with 5 in the center, you can arrange the numbers as follows: 8 1 6 3 5 7 4 9 2 Each row, column, and diagonal sums to 17, with 5 positioned in the center. This fulfills the requirement of using each number once and maintaining the total of 17.