Choose the right preposition, down/down on, in, off, out, up:

1) The big tree was cut ... for the sake of safety.
2) My doctor says I should cut sweets and chocolates.
3) During the discussion David cut ... with interesting remarks.
4) Try to cut ... the letter by about 100 words.
5) I often cut ...my little grandmother's food for her.
6) I've cut this interesting article ... of a magazine for you.
7) Why did you cut ... all your hair?
8) My sister likes to cut ... photos from postcards and paste them in her album.