preposition "for" vs "of"

Question

Would a teacher, on the point of proposing a correction to his students, say: "Let's make / here is the correction FOR the test or the correction OF the test? Or "Here is a summary FOR the story or OF the story? Thanks for helping me making a choice!

Answer 1

Either preposition could be used and would have a slightly different connotation.

In the example "Here is the correction OF the test", using OF implies that the correction and the test are the same entity and the correction is a component of the test.

In the example "Here is the correction FOR the test", using FOR implies that the correction is a separate entity designed specifically for usage on the test.

Answer 2

Prepositions are flexible and there's not necessarily only one that will do the job.

That said, I'd be inclined to use to, I think:

Let's make a correction to the test.

Of course, you can skirt the problem altogether by rephrasing:

Let's correct the test.

As for summary, that should be of:

Here is a summary of the story.