I so commonly hear in China, "Have a try." It drives me nuts and I always say it is never used by 1st language English speakers. I could be wrong for the first time in my life, but in east Canada I've never heard or used it. I use the phrase as follows:
Give it a try.
Try it out.
and some more slangish ones....
Give 'er a try.
Give 'er a go. (possibly more Newfoundlandish)
There is more slang for this but it heads down a sorry English lane.
I want to ask, is "Have a try" used in Britain or Australia or other English countries?
"Have a try" is common in New Zealand too, although I hear it associated with food more than anything.
"Go on, have a try! It's delicious".
I think Have a go would be more common in BrE.
Ok people, so it seems my advice to Chinese learners is faulty. I guess its a good thing for all to practice with "have a try" and one can hone the local Aussie, European, NA twang when and if one goes there.
Thanks, question answered from around the globe.