Is the table structure in the database correct?

Question

MySQL

Hello!
People, please tell me how to organize the structure in the mysql database in the most correct way
. At the moment, there is such a scheme:

The meaning of the data is as follows:
1. There is a list of specialties, the edu_specialities table
2. Each specialty has a list of exams (required to obtain this specialty). Linked to the exams table via an intermediate edu_speciality_exam (many-to-many relationship)
Here's the fun part...
3. For history, exam data is saved every year.
Those. for example, the specialty has 2 exams, mathematics and physics and data for the year:
2018
- mathematics - 20 points + some other data
- physics - 30 points + some other data
2019
- mathematics - 56 points + some other data
- physics - 99 points + some other data
, etc.
I did this by linking the intermediate table edu_speciality_exam with the table over the years, I also got an intermediate table edu_speciality_exam_year
As a result, the site will need information in this form:
Specialty 1
- 2018
- mathematics - data line
- physics - data line
- other year
and etc.
So far, what I have is working and, in principle, suits, but since. I had a similar task of implementing the scheme for the first time, that is, I suspect that it is not quite correct))
Maybe somehow you can make it simpler or more optimized))
Any advice or opinion needed, thanks!