Mathematics. Grade 7. National Gold Medal APMO Simulation Test

Author: Wang Xiangdong
Publisher:
Publish Date: 2005-03-01
Features: The "Olympic Subject Competitions for Primary and Secondary Schools" series consists of over 200 varieties, including textbook series, introductory textbooks, practice papers, mock exam papers, intensive textbooks, classic problem-solving series, weekly tests, question compilations, and multi-solution series. This series is compiled by the Editorial Department of Primary and Secondary School Subject Olympiads and is a research outcome of the Beijing Step-by-Step Quality Education Research Institute. Since its publication by the Olympic Press, it has stood out uniquely and is deeply loved by teachers, parents, and students. After significant revisions, re-editions, or complete rewrites, it has been renamed as "Golden Medal Olympiads" and "Golden Medal Schools" series, and is now re-published and distributed by Jinghua Publishing House. On this occasion of the re-publication, sincere thanks are extended to millions of readers across the country.
Primary and Secondary School Subject Olympiads (abbreviated as Subject Olympiads) are a subject competition activity for primary and secondary school students in China that covers the widest scope, attracts the largest number of participants, and has the greatest influence. Subject Olympiads are derived from the International Mathematical Olympiad (IMO), the International Physics Olympiad (IPHO), the International Chemistry Olympiad (ICHO), and other internationally influential middle school subject competitions that attract millions of young students every year. The reason for such widespread attention lies in the strong innovation, flexibility, and comprehensiveness of Olympiads, as well as their focus on cultivating students' exploration skills and inspiring their innovative awareness—qualities that are precisely at the core of quality education. This is also the need for future development.
Based on years of careful research into this activity both domestically and internationally, as well as a large number of outstanding books in this category, the Editorial Department of Primary and Secondary School Subject Olympiads has invited outstanding educators dedicated to this field from all over the country to compile and publish a series of books on mathematics, Chinese, English, physics, chemistry, biology, and information technology—comprising over 200 varieties. In terms of the variety, quantity, and quality of our Olympiad books, we are considered the most influential in our field both domestically and internationally, and are the most appealing to primary and secondary school teachers and students.
The purpose and characteristics of the "Golden Medal Olympiads" and "Golden Medal Schools" series are as follows:
High: Derived from textbooks but higher than textbooks. Derived from textbooks means it is written in accordance with the new [curriculum standards] of the Ministry of Education; higher than textbooks means it is closely aligned 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.
Accurate: Scientifically accurate and well-structured. Each book is designed according to the characteristics of the subject, scientifically arranged, and follows a progressive principle, providing in-depth yet accessible analysis and teaching comprehensive and detailed problem-solving methods.
New: The questions selected are novel, unique, and highly 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 Olympiads and reflecting new concepts in curriculum reform, as well as new ideas, methods, and trends in competition question-setting.
Refined: Selected examples are challenging yet not obscure, flexible, and achievable. The focus is on generalizing from one example to many, and on multi-solution, multi-variable, and multi-question approaches. It emphasizes training thinking skills rather than rote memorization, making learning an interest and hobby.
Renowned: A gathering of famous teachers and a collection of famous competitions. The Editorial Department of Primary and Secondary School Subject Olympiads has invited distinguished professors from prestigious universities, special-grade teachers, senior teachers, subject leaders, and renowned Olympic medal coaches to contribute to the writing.
Comprehensive: This series includes the following 12 sets, totaling over 200 varieties:
1. "Golden Medal Olympiad Entrance Textbook (ABC Edition)" for pre-school and lower grades, with 2 pre-school textbooks and 2 lower-grade textbooks, plus 2 ABC editions. Illustrated and fun, aimed at cultivating interest and intuition in mathematics for young children and lower-grade students, guiding them into the magical world of mathematics.
2. "Golden Medal Olympiad Textbook" (General Edition), with 8 volumes of primary school Chinese and mathematics, and 12 volumes of junior high school mathematics, physics, chemistry, Chinese, and English. This series combines the common points of the new curriculum standards, old textbooks, and Olympiads while catering to students with special talents. It includes sections on key knowledge points, example analysis, thought analysis, typical exercises, and answer hints.
3. "Golden Medal Olympiad ABC Edition," with 8 volumes of primary school Chinese and mathematics, and 12 volumes of junior high school mathematics, physics, chemistry, Chinese, and English. It provides tests for students based on the "Golden Medal Olympiad Textbook." The book includes three types of papers (A, B, C), ranging from easy to difficult, allowing students of different levels to choose targeted practice.
4. "Golden Medal Olympiad Mock Exam Papers," with 4 volumes of primary school mathematics and 12 volumes of junior high school mathematics, physics, chemistry, Chinese, and English. Part of the "Golden Medal Olympiad Textbook" series, these are comprehensive training papers for full-simulation competitions.
5. "Golden Medal Olympiad Question Compilation," with 1 volume of primary school mathematics and 4 volumes of junior high school mathematics, physics, and English. A book recording the history of national primary and secondary school competitions over the past five years, documenting the glorious achievements of subject education, praising the collective wisdom of teachers, and showcasing the talents of students across the country.
6. "Golden Medal Olympiad Hot Topic Question Classification and Full Solutions," with 2 volumes of primary school mathematics and informatics, and 12 volumes of junior high, high school mathematics, physics, chemistry, 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. "Golden Medal Exam Hot Topic Question Full Solutions" (tentative title), with 12 volumes of junior high and high school mathematics, physics, chemistry, Chinese, English, and biology. This series compiles the exam papers of 10 key education provinces in China over the past five years, categorizing them by subject and knowledge point with detailed solutions. It includes sections on junior high and high school knowledge point explanations, hot topic question analysis, summary of patterns, and mock training.
8. "Golden Medal Olympiad 100 Wins Textbook" (Advanced Edition), with 8 volumes of primary school mathematics and Chinese, and 12 volumes of junior high school mathematics, physics, chemistry, Chinese, and English. This book follows the order of the new textbook content of the People's Education Press, compiled by subject and unit. It includes sections on key knowledge points and extended exploration, problem-solving skills, example interpretation, and pre-competition intensive training, suitable for pre-competition training and students with surplus learning capacity, serving as an extension of classroom knowledge.
9. "Golden Medal Olympiad (Golden Medal Schools) Classic Problem Solutions," with 4 volumes of primary school mathematics and 29 volumes of junior high, high school mathematics, physics, chemistry, Chinese, English, and biology. This series selects typical exercises, junior high and high school exam questions, and difficult questions in order of difficulty based on the content order of the People's Education Press textbooks, organized by subject and chapter.
10. "Golden Medal Olympiad Weekly Tests," with 12 volumes of primary school mathematics, Chinese, and English, 15 volumes of junior high school mathematics, physics, chemistry, Chinese, English, and biology, and 17 volumes of high school mathematics, physics, chemistry, Chinese, English, and biology. These test papers follow the content order of the People's Education Press textbooks and are organized by knowledge point or weekly for testing purposes.
11. "Golden Medal Olympiad Classic Problem—Multiple Solutions," with 1 volume of primary school mathematics and 4 volumes of junior high and high school mathematics and physics. This series selects recent classic Olympiad problems with multiple solutions, where problems are solved using different thinking methods and from multiple angles, making these exercises highly skillful and engaging.
12. "International Golden Medal Olympiad Question Solutions," with 5 volumes of mathematics, physics, chemistry, biology, and informatics. This series selects recent international competition questions by subject and arranges them by year, providing detailed solutions. This series represents the highest level of current Olympiads and is considered the "highbrow" among all Olympiad books.