This book is centered around some beautiful problems, the majority being selected from international junior contests and it is helpful for excelling in algebra. Without using advanced techiniques, we are solving difficult problems with the help of intelligent tricks. The exercices are carefully chosen, taking into account the students' creativity growth, for a better, deeper understanding, as well as the variety of types. The first chapter presents solved competition problems.The second and the third chapters reveal suggested exercices, mostly original, alongside with guidance.The last part of this book holds advice for the ones who want to create their own exercices.