Mathematics · Grade 8 · National Gold Medal APMO Simulation Paper

Author: Wang Xiangdong
Publisher:
Publish Date: 2005-03-01
Features: The subject Olympiad for primary and secondary schools (abbreviated as "subject Olympiad") is one of the most extensive, widely participated, and influential subject competitions for primary and secondary school students in China. The subject Olympiad draws inspiration from and extends the concept of the International Mathematical Olympiad (IMO), the International Physics Olympiad (IPHO), the International Chemistry Olympiad (ICHO), and other internationally influential subject competitions for secondary school students, which attract millions of young students every year. The reason for such widespread attention lies in the Olympiad's strong innovation, flexibility, comprehensiveness, and emphasis on cultivating students' exploration skills and inspiring their innovative awareness, which are precisely the core elements of quality education. This is also the need for future development. Based on years of in-depth research on this activity both domestically and internationally, as well as a large number of outstanding books in this category, the Editorial Department of the Subject Olympiad for Primary and Secondary Schools has invited outstanding educators dedicated to this field from all over the country to compile and publish a series of Olympiad books, including "Gold Medal Olympiad" and "Gold Medal School," covering seven subjects—mathematics, Chinese, English, physics, chemistry, biology, and informatics—with over 200 varieties. In terms of the variety, quantity, and quality of our Olympiad books, we are arguably the most influential in the industry both domestically and internationally, and are considered the most appealing to primary and secondary school teachers and students. The purpose and characteristics of the "Gold Medal Olympiad" and "Gold Medal School" series are as follows:
1. High: Derived from the curriculum but exceeding it. Derived from the curriculum means it is written in accordance with the new [curriculum standards] of the Ministry of Education; exceeding the curriculum means it closely aligns with the competition syllabi of various levels, ensuring comprehensive alignment in content, question types, and ability requirements, thereby fostering interest, developing intelligence, and enhancing skills.
2. Accurate: Scientifically precise and well-structured. Each book is designed according to the characteristics of the subject, scientifically organized, and follows a progressive principle, offering in-depth yet accessible analysis and comprehensive, detailed problem-solving methods.
3. Innovative: The questions selected are novel, unique, and engaging. They gather the essence of recent Olympiad, middle school, and high school exam questions from both China and abroad, representing the highest level of current Olympiad standards and reflecting new concepts in curriculum reform, as well as new ideas, methods, and trends in competition question-setting.
4. Refined: Carefully selected examples are challenging yet not obscure, flexible yet achievable. The focus is on learning by example and applying knowledge to different contexts; it emphasizes multi-solution, multi-variable, and multi-question approaches to problems, prioritizing the training of thinking skills over rote memorization, making learning an interest and hobby.
5. Renowned: A gathering of distinguished experts and a collection of famous competitions. The Editorial Department of the Subject Olympiad for Primary and Secondary Schools has invited renowned professors from prestigious universities, special-grade teachers, senior teachers, subject leaders, and famous Olympiad gold medal coaches to contribute.
6. Comprehensive: This series includes the following 12 sets, totaling over 200 varieties:
1. Gold Medal Olympiad Entrance Textbook (ABC Edition)—2 textbooks for pre-schoolers, 2 for lower grades, and 2 ABC editions for lower grades. Illustrated and fun, designed to cultivate interest in mathematics and a sense of numbers in young children, guiding them into the magical world of mathematics.
2. Gold Medal Olympiad Textbook (General Edition)—8 textbooks for primary school Chinese and mathematics, and 12 for junior high school mathematics, physics, chemistry, Chinese, and English. This series combines the commonalities of the new curriculum standards, traditional textbooks, and Olympiads while catering to students with special talents. It is divided into sections such as key knowledge points, example analysis, thought analysis, typical exercises, and answer hints.
3. Gold Medal Olympiad ABC Editions—8 textbooks for primary school Chinese and mathematics, and 12 for junior high school mathematics, physics, chemistry, Chinese, and English. Based on the Gold Medal Olympiad Textbook, these provide targeted testing for students. The books are divided into three difficulty levels (A, B, C), allowing students of different levels to choose appropriate training.
4. Gold Medal Olympiad Simulation Test Papers—4 for primary school mathematics and 12 for junior high school mathematics, physics, chemistry, Chinese, and English. Part of the Gold Medal Olympiad Textbook series, these are comprehensive training papers simulating real competitions.
5. Gold Medal Olympiad Question Compilation—1 for primary school mathematics and 4 for junior high school mathematics, physics, chemistry, and English. A series recording the history of national primary and secondary school competitions in recent years, documenting the achievements of subject education, celebrating the collective wisdom of teachers, and showcasing the talents of students across the country.
6. Gold Medal Olympiad Hot Topic Question Classification and Solutions—2 for primary school mathematics and informatics, and 12 for junior high and high school mathematics, physics, chemistry, Chinese, English, biology, and informatics. This series selects recent hot topic questions from Olympiads, organizes them by chapter and knowledge point, and provides detailed explanations, making it very convenient for students to study.
7. Gold Medal Exam Hot Topic Question Full Solutions (tentative title)—12 for junior high and high school mathematics, physics, chemistry, Chinese, English, and biology. This series compiles the exam papers of 10 key education provinces in the past five years, categorizing them by subject and knowledge point, with detailed solutions. It includes sections such as exam knowledge point explanations, hot topic question analysis, summary of patterns, and simulation training.
8. Gold Medal Olympiad 100-Victory Textbook (Advanced Edition)—8 for primary school mathematics and Chinese, and 12 for junior high school mathematics, physics, chemistry, Chinese, and English. Based on the content order of the new textbooks from the People's Education Press, this series is compiled by subject and unit. It includes sections such as key knowledge points and extended exploration, problem-solving techniques, example analysis, and pre-competition intensive training, suitable for pre-competition training and students with strong academic abilities, serving as an extension of classroom knowledge.
9. Gold Medal Olympiad (Gold Medal School) Classic Question Solutions—4 for primary school mathematics and 29 for junior high and high school mathematics, physics, chemistry, Chinese, English, and biology. This series, following the content order of the People's Education Press textbooks, selects typical questions, middle school exam questions, high school exam questions, and difficult questions by difficulty level, organizes them, and writes them in detail.
10. Gold Medal Olympiad Weekly Tests—12 for primary school mathematics, Chinese, and English, 15 for junior high school mathematics, physics, chemistry, Chinese, English, and biology, and 17 for high school mathematics, physics, chemistry, Chinese, English, and biology. These test papers, following the content order of the People's Education Press textbooks, are used for unit or weekly testing by knowledge point.
11. Gold Medal Olympiad Classic One-Question-Multiple-Solutions—1 volume for primary school mathematics and 4 volumes for junior high and high school mathematics and physics. This series selects recent classic Olympiad questions with multiple solutions, where "one-question-multiple-solutions" refers to solving problems from different perspectives and approaches, making these exercises highly skillful and engaging.
12. International Gold Medal Olympiad Question Solutions—5 volumes for mathematics, physics, chemistry, biology, and informatics. This series selects recent international competition questions by subject and arranges them chronologically, providing detailed solutions. This series represents the highest level of current Olympiad standards and is considered the epitome of Olympiad books.