1. What class are you in?
I'm in the second class.
I'm class 2.
2. What year and what class are you in?
I'm in the second year and second class.
I'm a student in class 2-2.
(Are the questions and answers correct? Do you have more questions and answers about that?)
3. What is the summary of the reading text? (Is this questions correct? Do you have other expressions for that?)
1. What class are you in?
I'm in the second class.
I'm class 2.
2. What year and what class are you in?
I'm in the second year and second class.
I'm a student in class 2-2.
(Are the questions and answers correct? Do you have more questions and answers about that?)
What you wrote is fine.
3. What is the summary of the reading text? (Is this questions correct? Do you have other expressions for that?)
This is good, too. You could also use any of these:
--Please summarize the reading text.
--Please summarize the reading assignment.
--Would you summarize the reading text?
--Would you summarize the reading assignment?
Other teachers may have more suggestions.
The questions and answers in your first two examples are correct and convey the same meaning. As for your third question, if you're asking for a summary of a reading text, you could rephrase it as follows:
1. Can you give me a brief summary of the reading?
2. What is the gist of the reading text?
3. Could you briefly explain the main points of the reading?
4. What are the key takeaways from the reading?