# Ivy League is a Dream of Every Learner

Here we provide free learning materials of international competitions and AP subjects for every learner.

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## International Competitions（国际竞赛）

## Mathematics（数学）

The American Mathematics Contest 8 (AMC 8) is a contest for students in grades 8 and below, hosted annually by the American Mathematics Competitions (AMC) to students all over the United States.

The American Mathematics Contest 10 (AMC 10), along with the AMC 12, is one of the first exams in the series of exams used to challenge bright students, grades 10 and below, on the path towards choosing the team that represents the United States at the International Mathematics Olympiad (IMO). High scoring AMC 10 and AMC 12 students are invited to take the American Invitational Mathematics Examination (AIME).

The American Mathematics Contest 12 (AMC 12) is the first exam in the series of exams used to challenge bright students, grades 12 and below, on the path towards choosing the team that represents the United States at the International Mathematics Olympiad (IMO). High scoring AMC 12 students are invited to take the more challenging American Invitational Mathematics Examination (AIME).

The American Invitational Mathematics Examination (AIME) is the second exam in the series of exams used to challenge bright students on the path toward choosing the team that represents the United States at the International Mathematics Olympiad (IMO). High scoring AIME students are invited to take the prestigious United States of America Mathematics Olympiad (USAMO).

The United States of America Mathematical Olympiad (USAMO) is the third test in a series of exams used to challenge bright students on the path toward choosing the team that represents the United States at the International Mathematics Olympiad (IMO).

## Physics（物理）

The PhysicsBowl Contest is an international high school competition. School teams compete regionally. Students will take a 40-question, 45-minute timed, multiple-choice test under their school’s supervision. There are 2 divisions, Division I and Division II, for first and second year physics students respectively. The team part of the competition is where the tops five scores for each division are added together to produce a team score. Individuals compete in regions, 14 of which as U.S., while 5 are China. Awards and prizes are given to the top 2 schools and top 2 individuals in a region/division.

The British Physics Olympiad (BPhO) is to encourage the study of physics and to recognise excellence in young physicists through ten annual physics competitions. Top Gold winners (top 2%) in Round 1 will be invited to Round 2.

The F=ma exam is a 75-minute exam with 25 multiple choice questions focusing on mechanics. Two versions of the exam are given, the F=ma A and F=ma B. Approximately 400 students will be invited to take the USA Physics Team (USAPhO) exam, based on their scores on the F=ma exam. Students must be either U.S. Citizens, U.S. Permanent Residents (Green Card holders), or currently attending a U.S. school, to take the F-ma exam.

The USAPhO is a 3-hour free response exam where students are required to justify their answers. The exam is divided into two parts of 90 minutes each. Approximately 20 students will be invited to be a part of the U.S. Physics Team, based on their USAPhO and F=ma scores, and attend a ten-day training camp at the University of Maryland. At the end of the camp, five students will be selected to represent the team at the International Physics Olympiad. Students must be either U.S. Citizens, or U.S. Permanent Residents (Green Card holders) to take the USAPhO exam. Students must also be located in the U.S. to take the USAPhO exam.

## AP Subjects（AP 课程）

## Mathematics（数学）

The AP Calculus AB Exam will test your understanding of the mathematical concepts covered in the course units, as well as your ability to determine the proper formulas and procedures to use to solve problems and communicate your work with the correct notations. A graphing calculator is permitted for parts of the exam. Note: You may not take both AP Calculus AB and Calculus BC Exams within the same year.

Exam Duration: 3hrs 15mins

The AP Calculus BC Exam will test your understanding of the mathematical concepts covered in the course units, as well as your ability to determine the proper formulas and procedures to use to solve problems and communicate your work with the correct notations. A graphing calculator is permitted for parts of the exam. Note: You may not take both AP Calculus AB and Calculus BC Exams within the same year.

Exam Duration: 3hrs 15mins

The AP Statistics Exam will test your understanding of the mathematical concepts covered in the course units, including your ability to use statistical methods and calculate the probability of an outcome. You’ll need to bring a graphing calculator with statistics capabilities to the exam.

Exam Duration: 3hrs

## Physics（物理）

The AP Physics 1: Algebra-Based Exam will test your understanding of the scientific concepts covered in the course units, as well as your ability to use algebra when solving problems related to Newtonian mechanics, energy, and more.

You can use a four-function, scientific, or graphing calculator throughout the exam, and you will be provided with tables of commonly used physics equations and formulas.

Exam Duration: 3hrs

The AP Physics 2 Exam will test your understanding of the scientific concepts covered in the course units, including your ability to use algebra when solving problems related to quantum, atomic, and nuclear physics.

You can use a four-function, scientific, or graphing calculator throughout the exam, and you will be provided with tables of commonly used physics equations and formulas.

Exam Duration: 3hrs

The AP Physics C: Mechanics Exam will test your understanding of the scientific concepts covered in the course units, as well as your ability to use calculus when solving problems related to kinematics, linear momentum, and more.

You can use a four-function, scientific, or graphing calculator throughout the exam, and you will be provided with tables of commonly used physics equations and formulas. These tables are shared by both Physics C courses.

Exam Duration: 1hr 30mins

The AP Physics C: Electricity and Magnetism Exam will test your understanding of the scientific concepts covered in the course units, as well as your ability to use calculus when solving problems related to electrostatics, electromagnetism, and more.

You can use a four-function, scientific, or graphing calculator throughout the exam, and you will be provided with tables of commonly used physics equations and formulas. These tables are shared by both Physics C courses.

Exam Duration: 1hr 30mins

## History（历史）

The AP World History: Modern Exam will test your understanding of the historical concepts covered in the course units, as well as your ability to analyze primary and secondary sources and identify patterns and connections that can support a historical interpretation.

Exam Duration: 3hrs 15mins

The AP U.S. History Exam will test your understanding of the historical concepts covered in the course units, as well as your ability to analyze primary and secondary sources and identify patterns and connections that can support a historical interpretation.

Exam Duration: 3hrs 15mins

The AP European History Exam will test your understanding of the historical concepts covered in the course units, as well as your ability to analyze primary and secondary sources and identify patterns and connections that can support a historical interpretation.

Exam Duration: 3hrs 15mins

## Social Science（社会科学）

The AP Macroeconomics Exam will test your understanding of the economic concepts covered in the course, as well as your ability to define economic principles and models; explain given economic outcomes; determine outcomes of specific economic situations; and model economic situations using graphs or visual representations.

Exam Duration: 2hrs 10mins

The AP Microeconomics Exam will test your understanding of the economic concepts covered in the course, as well as your ability to define economic principles and models; explain given economic outcomes; determine outcomes of specific economic situations; and model economic situations using graphs or visual representations.

Exam Duration: 2hrs 10mins

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