13 Mar 2013

Numbers in a Grid Puzzle: Middle Secondary Mathematics Competition Question

The grid below is to be filled with numbers, one in each cell and not necessarily integers.

The numbers are arranged in such a way that if you look at the number in one particular cell, the cell to the right is double that number, and the cell below it is half that number.

The four numbers at the corners of the grid add up to a positive integral cube number. What is the smallest possible value of the number in the middle of the grid?

Level: Middle Secondary (Yellow)

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