Azkend 2: The World Beneath

These achievements are most easily obtained in the Time challenge mode, as compass pieces are pretty common and there are fewer total types of tiles to match. Make a conscious effort to avoid as many compass pieces as possible until you've got quite a few on the board, and when it looks like you can create a really long match, add up your chain to see how close you are. If you need a few more tiles, you may need to sacrifice some of your chain to get more. In general, these achievements are pretty simple and should come without too much work in the Time challenge mode.