I am about to enter in second year as a math major, due to some reasons I have never been into amc and imo like stuffs, but as I am gaining interest in math, it is the regret which is hurting me again and again. So have decided to go through elementary euclidean geometry to high school algebra,and number system. The only problem is I'm afraid it will hold my rigour in mathematical proofs backwards, think like this : one morning I woke up and started studying some ring isomorphism, and then in the evening I have to study high school algebra it really making me upset about myself. Your few lines of advice will help a lot.
Long story short : How to manage these two aspects simultaneously ?