1. The earth moves around the sun.

2. The earth moves round the sun.
(Which one is grammatical? Are both OK? Which one is commonly used?)

3. When does the movie come out in DVD?
4. When will the movie come out in DVD?
(Which one is correct?)

5. I'm not sure if she calls me again tomorrow.
6. I'm not sure if she will call me again tomorrow.
(Which one is grammatical?)

1 is grammatical; 2 is not.

Both 3 and 4 are correct.

5. is wrong; 5 is right.

1. Both sentences are grammatical, but the first one is more commonly used. In the first sentence, "moves around" is used as a phrasal verb, meaning that the Earth orbits the Sun in a circular motion. This is the standard expression to describe the Earth's motion around the Sun. The second sentence, "moves round," also conveys the same meaning but is less frequently used.

2. Both sentences are grammatically correct, but the second one is more commonly used. In the fourth sentence, "will come out" is the more common way to express a future event. People often use "will" to indicate an action that will happen at a specific time in the future, which is the case when referring to the release of a movie on DVD.

3. The second sentence is grammatically correct and more commonly used. In the sixth sentence, "will call" is the preferred form to express a future action. When there is uncertainty or doubt about an action happening, it is more natural to use "will" to indicate that the action might or might not occur. Therefore, using "will call" in this context conveys the speaker's uncertainty about whether or not the person will call again tomorrow.