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MathNet 2006 — Part 02 Question 159

Math Olympiad Vault · MathNet 2006 — Part 02

Question 159

The square below is called a magic square, because the sum of the numbers in each row, each column and each diagonal is always the same. In this case this sum is $15$.

| 4 | 9 | 2 |
| :--- | :--- | :--- |
| 3 | 5 | 7 |
| 8 | 1 | 6 |

Fill in the five missing numbers in the square below to make it a magic square.

| -12 | | -4 |
| :--- | :--- | :--- |
| | 0 | |
| 4 | | |