Q: Does the word "play" mean the same thing in "Play sports." and "Play cards."?

A: the same meaning

Q: Does the word "mean" mean the same thing in "I didn't mean to knock your tooth out." and "I mean to go to Baddeck this summer."?

A: the same meaning

Q: Does the word "offer" mean the same thing in "Offer prayers to the gods." and "The Shakespeare Company is offering 'King Lear' this month."?

A: different meanings

Q: Does the word "play" mean the same thing in "Play safe." and "Play fair."?

A:
the same meaning