1. Choose the right preposition, down/down on, in, off, out, up:
1. It's necessary to cut your essay
a little.
2. I often cut ...my little sister's food for her.
3. I've cut this interesting article ... of a newspaper for you.
4. My doctor says I should cut sugar.
5. Cut the tops the carrots before cooking them.
6. During the discussion Bob cut ... with interesting remarks.
7. Nowadays a lot of forests are being cut
8. Try to cut ... the article by about 100 words.

1. Choose the right preposition, down/down on, in, off, out, up:
1. It's necessary to cut your essay a little.
In this sentence, the correct preposition is "down." The phrase "cut down" means to reduce or decrease something. So, the sentence means that it is necessary to reduce the length or content of the essay.

2. I often cut ... my little sister's food for her.
In this sentence, the correct preposition is "up." The phrase "cut up" means to chop or divide something into smaller pieces. So, the sentence means that the speaker frequently chops or divides their little sister's food into smaller pieces for her.

3. I've cut this interesting article ... of a newspaper for you.
In this sentence, the correct preposition is "out." The phrase "cut out" means to remove or detach something from a larger piece. So, the sentence means that the speaker has removed or detached this interesting article from a newspaper and wants to give it to the listener.

4. My doctor says I should cut sugar.
In this sentence, no preposition is needed. The verb "cut" is used on its own in the sentence to mean to reduce or eliminate something. So, the sentence means that the speaker's doctor advises them to reduce or eliminate their sugar intake.

5. Cut the tops the carrots before cooking them.
In this sentence, no preposition is needed. The verb "cut" is used on its own in the sentence to mean to make an incision or divide something. So, the sentence means that the listener should make an incision or divide the tops of the carrots before cooking them.

6. During the discussion Bob cut ... with interesting remarks.
In this sentence, the correct preposition is "in." The phrase "cut in" means to interrupt or interject. So, the sentence means that Bob interrupted or interjected during the discussion with interesting remarks.

7. Nowadays a lot of forests are being cut ...
In this sentence, the correct preposition is "down." The phrase "cut down" means to fell or chop down trees or forests. So, the sentence means that currently, many forests are being cut or destroyed.

8. Try to cut ... the article by about 100 words.
In this sentence, the correct preposition is "off." The phrase "cut off" means to remove or detach a part from something. So, the sentence means that the listener should remove or detach approximately 100 words from the article.