1. He got 90 points on the math test.

2. He got 90 on the math test.
3. He got 90 points in the math test.
4. He obtained 90 points on the math test.
5. He received 90 points on the math test.
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#1 and #2 is correct, right? What about the others? Can we use 'in' instead of 'on'? What about other verbs? Are they acceptable?

1 and 2 are both correct, yes.

4 is a possibility.

I wouldn't use any of the others, though.
In 3, the preposition "in" is incorrect.
in 5, it reads as if the 90 points were a gift!

Thank you.

Does 'on' mean 'about' or 'regarding'?

Here's the best webpage I found that gives the various meanings and inferences of the preposition "on." Be sure to check them all out!

https://www.merriam-webster.com/dictionary/on

Yes, both #1 and #2 are correct and equivalent in meaning.

As for the other options:

#3 "He got 90 points in the math test." - This sentence is also acceptable. "In" implies that the points were obtained within the context of the math test. Alternatively, "on" is more commonly used to indicate the test itself as the setting.

#4 "He obtained 90 points on the math test." - This sentence is grammatically correct and conveys the same meaning as the previous examples. "Obtained" is a synonym for "got" and can be used interchangeably in this context.

#5 "He received 90 points on the math test." - This sentence is also correct and has the same meaning as the other options. "Received" carries a similar connotation to "obtained" and "got" in this context.

In summary, all of the given sentences are acceptable and convey the same meaning. You can use either "got," "obtained," or "received" with either "on" or "in" when talking about someone's score in a math test.