2. The second kind is academic scholarship, which is what you said at public expense. Generally speaking, the proportion of scholarships for science and engineering graduate students in the first year is slightly higher than that for liberal arts students. However, even for liberal arts majors, the proportion of scholarships in the first year of these years is still above 40%, and academic graduate students will basically have them in the second year.
3. You can find the bibliography of any exam of CUHK postgraduate enrollment online, as long as you provide it. And you can find the test questions of previous years, I suggest you go and see them more.