What is the difference between "make" and "do"?

[Eva Braun]

ESL/EFL Test "My Thoughts", question 9

I hope one day you will come and I hope that I haven't done too many mistakes in my sentences.

(a) will come
(b) done
(c) many

ESL/EFL Test "My Thoughts", answer 9

I hope one day you will come and I hope that I haven't made too many mistakes in my sentences.

Correct entry: made
The error was: (b) done

You have found the error but your entry is incorrect.
I hope one day you will come and I hope that I haven't done too many mistakes in my sentences.
_________________________

why do we have to use made here?

[Alan]

This is a set idiom: make a mistake. Have a look at the piece I've written for the site under esl lessons called Make or do?

Make or Do / ESL Lesson

Alan
_________________
English as a Second Language
You can read my ESL story A Rhapsody of Words