Which sentence is correct?

[kohyoongliat]

Dear Teacher

1. Did you try this one?

2. Have you tried this one?

I believe both sentences have the same meaning. I believe the first sentence is AmE, while the second is BrE. Am I correct?

Thank you very much.

[Tdol]

Yes.

[Humble]

Hi,
#1 might be said in Britain, too. It depends on the context.
Cheers