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The rule of this game is that an odd number needs to go next to an even or an even next to a odd.
The answer to the odd numbers are.....

1 8 7
2 9 6
3 4 5
The other answers would follow this rule.

We cannot find a solution for the even numbers because the difference between an even and an even is an even number . The difference between an odd and an odd is an even number. The difference between an even and an odd is an odd number . So on the grid an even and an odd have to at least once be next to each other. That means you can only find odd numbers , no even numbers .