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Difference between Off one’s head and Off one’s mind

off one’s head—(coll.) crazy or behaving as if mad (also: out of one’s head):

  • He must be off his head to go jogging in this weather.

Note: The expression does not correlate in meaning with the phrase off the top of one’s head(coll.) without proper consideration; in an impromptu manner:

  • He was impetuous and inclined to think off the top of his head at times.

off one’s mind—

1. said of smth. no longer causing worry or anxiety:

  • And he had felt so happy…. His confession to June was off his mind.

2. = off one’s head:

  • Politics is dirty. If so, one must be off his mind to enter politics.