Let me analyze it for you. First of all, let's talk briefly about the problems you failed in the exam.
There are many cases of failing the exam, at least two. The first one is that you obviously feel that you did well after the exam, but you can't pass the exam by looking at the score; The second is that you already know that your score is not high during or after the exam.
If it is the first case, it is mostly a miscalculation, so-called carelessness, so-called carelessness. If it is the second, it is either a state of improvisation, that is, psychological quality, or the foundation is not solid enough, or it is easy to be impatient; However, impatience usually leads to one or more simple problems, but you won't do it anyway. It seems that you are not like this.
What you said is the final exam question, which is also the exam question. There are two kinds of problems. The first is the problem of circuitous, that is to say, you can't do it if you don't expect it. Generally, you either get full marks or you don't get any points. The so-called "yes, yes, no"; The second is the accumulation problem, that is, a so-called complex problem is carried out step by step by countless simple problems, and there are too many processes from known conditions to solution, which is ugly.
Ten questions, not a few. Supposedly, it should include two types, and there may be some problems between them. You say that others can work out at most two, which means that at least two of them are the second kind of accumulation problems mentioned above. This shows that your math foundation is actually very good, because the accumulation problem is the superposition of the basic problems. The rest of the questions should be strange questions, which shows that your mind is also very good, so I tell you now that you can learn math well for sure.
However, learning math well and getting high marks are definitely two different things. When I was in junior high school, I took several papers with full marks 100 and additional questions of 20 points. In fact, your quality is nothing to deal with this kind of thing, but you must be careful. In general, the proportion of low, medium and high difficult questions in math papers is 5:3:2, and the score of 105 is less than 90, so I guess you made some low-level mistakes in medium and simple questions. This matter can only be adjusted by itself, and one way to provide it is to treat simple questions as difficult ones. Why? Why do you think that difficult questions and simple questions can appear on the test paper at the same time? Difficult questions test thinking, you have no problem, simple questions test what? Be patient and careful in the exam.
Your parents must be very kind to you, and I understand this hobby, but you should know one thing. In the present environment, it is no longer Mr. Hua's realm. Teacher Hua's talent is too high, and his grades were too dazzling before he went to college. He was able to break into Tsinghua, but when he went to Tsinghua, he immediately went to make up lessons by himself and got up every morning to recite English! Mr Qian Weichang is his classmate. He got up at 5: 30 in the morning to recite, only to find that Mr. Hua had finished reciting and came back ... Now, for you, learning other courses well at the same time is the condition for you to continue studying mathematics. Although this is unreasonable, you should persist and be patient. When you pass these levels, you can only concentrate on math and improve others. You know, there may be many children, and when you finish learning, you can let them learn only their favorite math and leave everything else alone.
Your father's hobby is useless, in fact, that's what I mean, because you can't get very generous conditions and a lot of research can't be carried out by hobbies alone. Slowly, it may polish your current passion. But once you reach that height, your interest in mathematics will be the most favorable condition for you to surpass others.
Finally, I should say something I shouldn't say: learning mathematics is very hard, unlike doing a few difficult problems in the senior high school entrance examination. You may not realize this problem until you really go to college and learn math. I hope you like math as much as you do now.
Best wishes.