1. My math exam is tomorrow.
2. Tomorrow is my math exam.
3. Tomorrow I have a math exam.
4. I take a math exam tomorrow.
(Are all the same and grammatical?)
5. What did you do over the summer vacation?
6. What did you do during the summer vacation?
7. What did you do on the summer vacation?
8. What did you do through the summer vacation?
9. What did you do over the summer vacation?
10. What did you do during summer vacation?
(Which preposition do we have to use? Can we omit 'the'? Are they all grammatical?)
1 - 4 are all fine and all mean the same thing.
5 and 6 are fine and mean the same thing. 7 and 8 are OK, but not as smooth or clear as 5 and 6. 9 and 10 are the same as 5 and 6. And, yes, the word "the" can be omitted.
1. Yes, all of the sentences are grammatically correct and convey the same meaning that your math exam will take place tomorrow. The sentence structure varies slightly, but they are all acceptable.
5. All of the sentences are grammatically correct and convey the same meaning. However, there are subtle differences in their usage.
6. "What did you do during the summer vacation?" emphasizes the duration of the vacation and implies that the actions took place throughout the entire summer period.
7. "What did you do on the summer vacation?" is less common but still grammatically correct. It suggests that the actions occurred during the specific time period of the summer vacation.
8. "What did you do through the summer vacation?" is also grammatically correct, but it may not be as commonly used. It implies that the activities spanned across the entire duration of the summer vacation.
9. "What did you do over the summer vacation?" is a commonly used phrase and is grammatically correct. It suggests that the activities occurred during the entire span of the summer vacation.
10. "What did you do during summer vacation?" is a more simplified version of sentence 6. It is also grammatically correct and conveys the same meaning, but it is less specific about the duration of the vacation.
In terms of prepositions, "during" and "over" are most commonly used in these contexts. "On" and "through" can also be used, but they may have slightly different implications or less common usage.
As for "the", it is grammatically optional. You can use "the" before "summer vacation", or you can leave it out. Both versions are grammatically correct, but including "the" is more commonly used.