If you bury the hatchet then you make peace with someone and stop arguing or fighting.
Bury your head in the sand
If someone buries their head in the sand then they are ignoring something that is obviously wrong or dangerous.
By a whisker
If you do something by a whisker, you were close to failing.
By hook or by crook
If you are willing to do anything, good or bad, to reach your goal.
By the book
If you do something by the book, you do it exactly as you are supposed to - almost opposite of by hook or crook.
By the skin of your teeth
Same as By a whisker - you were close to failing.
By word of mouth
If something gets known by being talked about rather than through publicity or advertising, then it is described as by word of mouth.
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