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Australian AMC 2021 - Middle Primary Question 26

AMC AUSTRALIA · Australian AMC 2021 - Middle Primary

Question 26

This is a magic square, so that all rows, columns and diagonals add up to the same sum. Some numbers are already filled in. When we complete it and multiply the numbers in the three shaded squares, what do we get?

Question illustration

| | Column 1 | Column 2 | Column 3 | Column 4 |
|---|---|---|---|---|
| Row 1 | 16 | a (shaded) | 2 | blank |
| Row 2 | blank | 10 | c (shaded) | 8 |
| Row 3 | blank | b (shaded) | 7 | 12 |
| Row 4 | 4 | 15 | blank | 1 |