Problems and Solutions in Mathematical Olympiad

The series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 Most Influential Educational Brands in China. The series is created in line with the mathematics cognition and intellectual development levels of the students in the corresponding grades. All hot mathematics topics of the competition are included in the volumes and are organized into chapters where concepts and methods are gradually introduced to equip the students with necessary knowledge until they can finally reach the competition level. In each chapter, well-designed problems including those collected from real competitions are provided so that the students can apply the skills and strategies they have learned to solve these problems. Detailed solutions are provided selectively. As a feature of the series, we also include some solutions generously offered by the members of Chinese national team and national training team.

Ingenious Computation of Rational Numbers Absolute Value First-Degree Equation with One Variable System of First-Degree Equations Application of a System of First-Degree Equations Setting Up (Systems of) Equations to Solve Word Problems (System of) First-Degree Inequalities Multiplication and Division of Polynomials with Integer Coefficients Line Segments Angles Sum of the Interior Angles of a Triangle Parallel Lines Assigning Variables Unnecessary for Solution Undetermined Coefficients Synthetic Division and Polynomial Remainder Theorem Simplifying and Evaluating an Algebraic Formula Logical Inference I Logical Inference II Divisibility Odd Numbers and Even Numbers Prime Numbers and Composite Numbers The Rule of Sum and the Rule of Product Number of Divisors Positional Notation Modular Arithmetic First-Degree Diophantine Equation with Two Unknowns The Drawer Principle