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Magic squares
Let’s learn how to solve a magic square 3×3 using each number from
1 to 9 only once.
⑴ Find the sum of all the numbers.
1+2+3+4+5+6+7+8+9=
⑵ Find the sum of numbers in one row by knowing that the sum of each
row and each column are the same. ★
The sum of all the numbers (1-9) is the same
as the sum of the numbers in three rows. ★
Therefore, 45_3 =★.
Sum of numbers in one row (★) = ★
⑶ Find the number in the using the sum of all the numbers in four lines
(row, column, and diagonals).
The sum of all the numbers in four lines is
15 ^ 4 = .
The eight numbers in the are added once and
the number in the is added four times. Therefore,
adding the numbers from 1 to 9 and adding the
number in the middle for three times are the same
as the sum of all numbers in four lines.
(1+2+3+4+5+6+7+8+9)+3^ =60
=
38 Workbook S-6
Let’s learn how to solve a magic square 3×3 using each number from
1 to 9 only once.
⑴ Find the sum of all the numbers.
1+2+3+4+5+6+7+8+9=
⑵ Find the sum of numbers in one row by knowing that the sum of each
row and each column are the same. ★
The sum of all the numbers (1-9) is the same
as the sum of the numbers in three rows. ★
Therefore, 45_3 =★.
Sum of numbers in one row (★) = ★
⑶ Find the number in the using the sum of all the numbers in four lines
(row, column, and diagonals).
The sum of all the numbers in four lines is
15 ^ 4 = .
The eight numbers in the are added once and
the number in the is added four times. Therefore,
adding the numbers from 1 to 9 and adding the
number in the middle for three times are the same
as the sum of all numbers in four lines.
(1+2+3+4+5+6+7+8+9)+3^ =60
=
38 Workbook S-6
