ask over, ask over and ask for

[Offroad]

I guess 'to make a question' doesn't mean the same of 'to ask a question'.
As a student, I'd say:

You make a question and ask me, let me know what it is about! Right?

In my post I wrote:
ask me questions about Great Britain, make questions on Shakespeare's life.
Is it not fine?

here are some examples of 'make a question' or 'making questions':
Make a question
Making questions
Candy Making Questions and Answers
Grammar: Making questions
Making Questions

Thank you very much for your time.

[RonBee]

In the form below you can ask your chocolate candy questions. I'll do my best to give you an answer as soon as possible.
Candy Making Questions and Answers

[RonBee]

marciobarbalho, in your examples, "make a question" is not used in the same way as "ask a question".