Mathematic Olympiad For Middle School (Solutions and Exercises)

This book is written according to the curriculum of grades 7 to 9 in China. Usually, students in China study mathematics earlier and deeper than American students of the same grade. Therefore, some topics in this book may not been taught in American middle schools. Though most questions in this book are hard to solve, it does not go beyond the range of mathematics for American middle schools.It contains eclectic exercises and systematic solutions for mathematics in middle school. By studying this book, students' skills in mathematics will be enhanced.This book consists of 18 topics (about 750 questions, each of them is followed by an in-depth and clear explanation. ). All of them are within the mathematics scope of the middle school level. Contents: 1. Integer 2. Real number 3. Algebraic Expression Indeterminate System of Equations Factoring Fractional Expression Radical Expression Transformation of Identity 4. Quadratic Equation Quadratic Formula and Relationship between Roots and Coefficients Special Types of Equations Common Root Integer Roots Distribution of the Roots of Quadratic Equation Miscellaneous 5. Indeterminate Equation The First-Order Indeterminate Equation The Second-Order Indeterminate Equation 6. Word Problem For Equation Word Problem for First-Order Equations Word Problem For Indeterminate Equation(s) 7. Perfect Square Number 8. Function and Application Application of Function and Graph Extreme Value of Function Application of Functions 9. Trigonometry10. Triangle11. Quadrilateral12. Circle13. Geometric Count14. Induction, Enumeration and Reasoning15. Classification16. Drawer Principle17. Inequality18. Miscellaneous