Suppose you have already been taught the theory on certain topic or you have studied that from some sources. Now you are practicing to solve some problems. Imagine two scenarios. In the first one, you are taught a method to solve problems and few problems are practiced. You learn a method. Another method is taught to solve another type of problem and thus you learn another method. This way you solve many problems, and you also learn many methods of solving them. Now, if a question is given to you, you may try identifying a suitable method from all the methods that you have learnt to solve such questions and then apply that method to solve that. This is quite a common way of doing bad in Mathematics as one can select an unsuitable method to solve a question. In the second scenario, you get a problem and you yourself try to solve this. If you are able to solve this in one or two attempts, you learn something. But if you are not able to solve this so easily and keep trying that ...

  Mathematics is all about understanding concepts, practicing them on regular basis and relating them with real life incidences. As you practice various questions from your textbook or from any other resources, you come across questions with varied challenges. Your best friends are those problems which you are not able to solve easily.  If you solve a problem on your own in the first attempt, it’s good. It adds to your confidence and validates that whatever you know works in solving such problems. In the beginning you may need this. If you can solve all the problems without much difficulty, then you are just validating your knowledge. These problems are not helping you to expand your understanding of the concepts. You must look for other sources of questions because your brain is not getting challenged enough. A conceptual and non-tricky problem, which doesn’t get solved by you easily, helps you in many ways. As you try solving such problems in different ways, you deve...