Copying formula sheets to new files

Hello all! Thank you for your time and expertise This is the first major problem I have had with Numbers and it has me stumped.
I have 12 separate files named Q1 - Q12. Each contains sheets named A - I.
I am trying to create a new file named A which contains each A sheet from files Q1 to Q12. Briefly, I copy sheet A from file Q1 and paste it into file A and rename it Q1 (since it was originally named A). I then copy sheet A from file Q2 and paste it into file A and rename it Q2 (since it was also originally named A). This pattern continues until file A contains sheets Q1 - Q12. I then do the same with file B until it contains Q1 - Q12, etc. I have also created a sheet named Score which contains formulas that have sheets Q1 - Q12 referenced.
The problem occurs when I try to copy the Score sheet from file A to file B. Since it has formulas referencing sheets Q1-Q12, I figured it would still work (since file B has sheets also named Q1-Q12), however all formulas paste as =#REF! (i.e. the formula is completely gone and replaced with =#REF!).
This puzzles me as I used this strategy when creating scoring sheets in the original files Q1-Q12 containing sheets A-I. Copying and pasting the scoring sheet between those files worked just fine. The only thing I can think of is that renaming the sheets may have something to do with it. Has anyone else ever had this problem? Any ideas on how to fix it? Thank you so much for your time!

I do mean "sheets" when I described sheets; I actually simplified the original post to keep it short(ish). For the sake of berevity, I didn't mention that each sheet actually had 9 different tables in it. I just figured that added an extra layer of unneeded complexity.
Since the two files have the same layout (i.e. sheets named the same, same number of tables per sheet, etc.), I was confident that my sheet containing formulas (Score) referencing other sheets by name would be able to be copied to other files without problem. But I was wrong...
Trying your idea, it does appear to work but is a bit more labor-intensive than I had hoped it would be. Thank you for the suggestion - I do appreciate it! This solution is definitely better than the alternative I had come up with, so I'll keep it in mind if no one else has experienced this problem and has a solution. Thank you

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