I have a few more doubts on your corrections. Thank you!!

1) Is it wrong to say "wipe the blackboard with a duster" or is only "clean" possible?
2) "do a course" is a mistake? you can only say "take/attend a course?
"take a tour, go on a tour, make a tour" are they all possible?
3) "two hours and a half" is a mistake?
4) You'll get an oral mark out of your holiday homework. I will ask you to summarize a different tale orally each time.
5) Our Science teacher is always very demanding and strict. She sets (not us) too much homework from one time to the next (other). I find it hard to keep up (??) with him.
6) We'll be listening to the news on the BBC to keep up to date with (?) what happens in the world.

1. No, you can say, "Wipe the blackboard," but you'd say "with an eraser" or even a rag or cloth. The word "duster" might be used in England, but I'm not sure.

2. We say, "I'll take a course in German," or something like that. You can attend classes.

3. Yes -- put the "and a half" right next to the main number.

4. Does this mean, "You'll be given a grade on your class speech about your holiday"? "get an oral mark" is unfamiliar to me.

5. Unless you are naming a specific class that includes the word "science," you don't have a capital S on the word.
~~ I'm taking two science classes next year.
~~ I'm taking Physical Science next year.

I'd write, She gives us too much homework from one class to the next. I find it hard to keep up with her.

6. OK (and yes, keep "with")

1) It is not necessarily wrong to say "wipe the blackboard with a duster," but it is more common to use the word "clean" in this context. Both "wipe" and "clean" can convey the action of removing dust or writing from the blackboard. However, "clean" is a more general term that encompasses various ways of cleaning, including wiping. Therefore, using "clean the blackboard with a duster" is more commonly heard.

2) Saying "do a course" is not necessarily a mistake, but it is less commonly used compared to saying "take" or "attend a course." "Take a course" or "attend a course" are more standard phrases in English when referring to participating in and completing a course. "Do a course" might still be understood, but it is less idiomatic and may sound slightly unnatural to native speakers.

Regarding the phrases "take a tour," "go on a tour," and "make a tour," all three are grammatically correct and commonly used. However, they have slightly different nuances.
- "Take a tour" implies actively participating or following a guided tour.
- "Go on a tour" suggests the act of going somewhere and exploring various places during the tour.
- "Make a tour" is less commonly used and could imply creating or organizing a tour.

3) "Two hours and a half" is not considered incorrect, but it would be more commonly expressed as "two and a half hours." It is more natural in English to mention the whole number first, followed by the fractional part. So, "two and a half hours" is the preferred way to express this duration.

4) The sentence "You'll get an oral mark out of your holiday homework. I will ask you to summarize a different tale orally each time" is grammatically correct. It means that the person speaking will evaluate or grade the student based on their oral performance or presentation of different stories during their holiday homework.

5) The sentence "Our Science teacher is always very demanding and strict. She sets too much homework from one time to the next. I find it hard to keep up with her" is grammatically correct. It conveys that the Science teacher assigns a significant amount of homework consistently, making it challenging for the person speaking to manage or complete it.

6) The sentence "We'll be listening to the news on the BBC to keep up to date with what happens in the world" is grammatically correct. It means that the person speaking plans to listen to news broadcasts on the BBC to stay informed about current events happening globally.