1. Can you think of a common word that means both to take up and to take down?

2. Can you think of a common word that means both to present for viewing  and to prevent from being viewed?

Answer:

1. TACKLE
2. SCREEN

Credit #2: Eric Tentarelli

Note from JA: TACKLE and SCREEN join an elite set of homographs that not only have two (or more) meanings, but have two distinctly opposite meanings. These words are called contronyms or auto-antonyms. For more examples, see posts under CONTRONYMS.