More the knowledge we acquire, harder problems are before us to solve. Solving the unsolved problems may find applications in many fields. Knowledge seems always to be limited and gets expanded by exploring the limitations. Among many lists of unsolved mathematical problems, The Clay Mathematics Institute has announced a list of seven Millennium Prize Problems in the year 2000. Mathematician W. T. Growers, at the conference that announced the Millennium Prize Problems at Paris, mentioned that, mathematicians create models instead of studying the world directly. Soon after a model is created, it may be a formula or algorithm or a system of procedures, it need to be tested on the natural world condition, before concluding it as a solution for practical applications. This article elucidates simple and creative ways of thinking on how to solve problems using mathematical modeling and critical errors found in the approach to solve problems.