In this article, we delve deep into the AMC 10 held in 2022, offering an in-depth analysis of the exam’s structure, difficulty, and key areas of focus. Drawing on diverse candidates’ experiences, we aim to provide valuable insights and strategies to guide future participants in their journey toward conquering the AMC 10 exam in 2023.

Understanding the AMC 10

• Full name: American Mathematics Competitions 10
• Basic information: The AMC 10, conducted by the esteemed Mathematical Association of America (MAA), is a prestigious mathematics competition tailored for high school students 
• Subject: Students in grade 10 and below, and under 17.5 years of age on the day of the competition 
• Exam Structure: 25 multiple-choice questions, 75 minutes. The questions are divided into three categories based on their difficulty level: easy (1-10), medium (11-17), and challenging (18-25).
• Exam Sections: The AMC 10 is conducted in two sections: AMC 10A and AMC 10B. Both sections assess the same knowledge modules, including algebra, geometry, combinatorics, and number theory. However, the proportion of each module may vary between the two exams.

For more detailed information about AMC 10, please refer to this article.

Analysis of the 2022 AMC 10A Exam

The 2022 AMC 10A saw a distribution of questions as follows: algebra (36%), geometry (32%), combinatorics (20%), and number theory (12%).

Characteristics of the 2022 AMC 10A

1. Higher Emphasis on Algebraic Computational Skills

The 2022 AMC 10A placed significant emphasis on algebraic computation skills. The exam tested various knowledge points, including continued fraction calculations, exponent computations, averages, unit conversions, estimations, simplifications of algebraic expressions, arithmetic, and geometric sequences. Notably, there were no questions related to linear functions, quadratic functions, or polynomials. Regarding difficulty, the algebra module primarily focused on fundamental knowledge, involving basic algebraic concepts. When encountering relatively simple questions, candidates with strong computational skills and meticulous problem-solving abilities held a clear advantage. 

2. Prominent Focus on Geometry

In 2022’s AMC 10A, eight geometry questions were tested. Half of these (questions 5, 10, 15, 23) required the use of the Pythagorean theorem. Additionally, question 13 tested the concept of similarity, question 18 involved geometric transformations, question 21 assessed solid geometry, and question 25 dealt with lattice point problems. This comprehensive assessment of geometry knowledge highlighted the significance of geometry in the exam.

Furthermore, the last five questions, renowned for their challenging nature, exclusively featured three geometry problems, without any number theory or algebra questions. These questions are the most formidable in the entire exam, and strategically, most students choose to leave them unanswered. Among these demanding problems, three-fifths are geometry questions, further highlighting the substantial emphasis placed on geometry as a critical aspect of the exam.

Overall, the 2022 AMC 10A demonstrated a well-balanced distribution of modules, with algebra and geometry holding the key to scoring success. The difficulty level remained moderate, as the exam didn’t include rarely-seen or exceptionally difficult questions. Instead, it primarily assessed knowledge commonly encountered in previous years.

Analysis of the 2022 AMC 10B Exam

In the 2022 AMC 10B, the questions were distributed as follows: algebra (44%), combinatorics (24%), geometry (16%), and number theory (16%).

Characteristics of the 2022 AMC 10B

1. Comprehensive Coverage of Algebra Knowledge 

The algebra section of the 2022 AMC 10B comprised 11 questions that explored a diverse range of algebraic concepts. This encompassed basic computations, such as simplifying square roots, defining new operations, and factorials. Additionally, application problems involving intervals, classic “chickens and rabbits in the same cage” scenarios, averages, medians, and modes were included. The exam also tested arithmetic sequences, quadratic functions, absolute value inequalities of functions, polynomial division, and more. The comprehensive nature of the algebra module necessitated a deep understanding and proficiency in various algebraic skills, often requiring candidates to apply multiple concepts in combination.

2. Weakened Polarization of Difficulty

The 2022 AMC 10B neither featured exceedingly simple questions nor contained extremely difficult problems that were nearly unsolvable. In past exams, the first ten questions were generally straightforward, allowing most students to score points easily. However, in the 2022 exam, the difficulty of the initial ten questions increased, challenging average students to achieve high scores. Conversely, the last five difficult questions presented some answer choices that could be noticeably eliminable, increasing the likelihood of students answering them correctly.

Overall, the difficulty of the AMC 10B has become more balanced, demanding relatively strong and diverse problem-solving skills from students. The ability to quickly identify breakthroughs in problem-solving is crucial for success in this exam.

Key Takeaways from the 2022 AMC 10

• Algebra: The exam placed a strong emphasis on algebraic computation skills, testing a wide range of operations from basic to complex problem-solving involving various algebraic concepts. Success in this section required a comprehensive understanding of algebra and its applications.

• Geometry: Geometry held significant importance in the exam, particularly challenging aspects like the Pythagorean theorem, geometric transformations, and solid geometry. Demonstrating proficiency in geometry was essential to excel in the test.

• Number Theory and Combinatorics: Regardless of whether it was in the AMC 10A or the AMC 10B, the knowledge tested in these two modules remained consistent, with a moderate level of difficulty. A solid understanding of number theory and combinatorics was crucial for successfully tackling related questions in the exams.

Additionally, we highly recommend candidates to take both Exam 10A and 10B. While the two exams cover the same knowledge modules, they often focus on different aspects within those modules. If a student faces challenges in one of the exams due to a specific module, they shouldn’t lose hope. There’s a high likelihood that the other exam may align with the student’s strengths, providing an opportunity to secure a commendable result or even a prize. Preparing for and taking both exams increases the chances of success and allows students to demonstrate their full mathematical potential. 

How to Prepare for AMC 10

Given the considerable difficulty of AMC 10 exams, students are advised to begin their preparation well in advance. Commencing studies early allows for the establishment of a systematic and comprehensive exam preparation process, ensuring ample time for thorough coverage of all AMC 10 topics.

Over the long term, students are encouraged to expand their knowledge beyond their regular coursework, focusing on addressing their mathematical weaknesses during summer breaks, particularly the summer preceding their dedicated exam year. This strategic approach helps students build a strong foundation, facilitating success in the intensive six-month period leading up to the AMC 10 exam.

To prepare for AMC 10 effectively in the short term, students should create a clear timeline and adhere to a structured four-step process.

Step 1: Try Mock Exams – April 

The AMC 10 exams typically take place in November every year. To prepare effectively, we recommend that students begin taking mock exams approximately six months prior to the actual exam date, starting in April. From our experience, it is advisable to complete at least three mock exams within this period, ideally in April, June, and August. These mock exams serve a crucial role in assessing students’ current knowledge levels and enabling them to become familiar with the test’s format and difficulty, which will be advantageous for their future study.

It’s important to note that even though many AMC 10 candidates have already taken the AMC 8, and both exams share a similar format with 25 questions, they cover distinct knowledge areas. Furthermore, the AMC 10 is notably more challenging than the AMC 8. Consequently, the diligent completion of mock exams by students, considering both quality and quantity of the mock exams, can significantly enhance their familiarity and readiness, thereby ultimately contributing to their success during the actual AMC 10 examination.

Step 2: Mastering the Must-Do Problems – May to June

Because of the high difficulty of AMC 10 problems and the policy of zero points for incorrect answers as mentioned in the last section, all candidates must prioritize solving the initial 10 problems in the AMC 10 exam. Completing these first 10 questions guarantees a score of 82.5 points (by answering 10 questions correctly and not attempting the remaining 15). It’s worth noting that the cutoff for the 2022 AIME was only 93/94.5 points, highlighting the critical significance of these initial questions. As such, the foremost and most pivotal step towards achieving success is to excel in mastering these essential first ten questions!

In each step of the exam preparation period, students are strongly advised to establish a systematic plan structured around the knowledge modules of the AMC 10. Particular emphasis should be placed on addressing any identified weaknesses from mock exams to effectively fortify their skill set. 

Step 3: Consolidating Easily Mistaken Problems- July to August 

If mastering the must-do problems is the foundation for success, then not losing points on easily mistaken questions is the key to achieving AIME qualification. Starting from question 11, the problems gradually become more complex, and candidates are more likely to make calculation errors, or struggle to find a breakthrough in problem-solving, leading to lost points on questions you should have gotten right, and missing the awards. Therefore, studying these questions carefully before the exam is one of the most effective ways to prepare.

Step 4: Sprinting for the Final Problems – September to October

The last five questions, renowned for their difficulty, are often strategically skipped by many candidates. However, for those aiming for Honor Roll (HR), Distinguished Honor Roll (DHR) or USA Junior Mathematical Olympiad (USAJMO – one of the highest levels of math competitions for high school students), maintaining an advantage in these high-difficulty problems becomes crucial. Successfully solving these challenging questions can enhance the overall tolerance for errors in the exam. Even if candidates make careless mistakes in the earlier basic questions, their ability to tackle the most demanding problems provides a chance to earn awards and distinguish themselves. 

2023 AMC 10 Registration Guide

To register online for the 2023 AMC 10 with Think Academy, please follow these three steps:

Step 1: Register a Think Academy account at https://www.thethinkacademy.com/.

 

Step 2: Edit Account informationChange name into student’s legal first and last name at [my account > personal information] and fill in frequently used phone number and email address at [my account > Login&Security].

Step 3: Please choose the testing site nearest to you from the list below and proceed with the registration process.

• Exam Date: 11/08/2023 (AMC 10A), 11/14/2023 (AMC 10B)
• Registration Fee: $10
• Registration Period: 9/15/2023 – 11/03/2023
• In-person Exam Registration only, for students under Grade 10
• Pick your test center from the list below and click the appropriate link to sign up:
  • Cupertino
  • Fremont
  • Manhattan
  • Bellevue

**Please note that some of our test centers may already be full, so we recommend securing your spot as soon as possible!

If our testing sites are not conveniently located for you, please visit this link to find the nearest exam location, and register for exam on the MAA official website. 

AMC 10 Resources

For previous AMC 10 problems and solutions: click here and then choose the “AMC 10” tab.

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Think Academy is your ultimate resource for excelling in the AMC 10 exam. We offer a wide range of courses designed to enhance your preparation. Currently, our module classes and problem-solving skills classes are available, providing you with in-depth coverage and effective strategies.

Visit us at www.thethinkacademy.com/amc-10 to explore our AMC 10 courses and seize the opportunity to sharpen your mathematical skills.

For further inquiries or to learn more about the AMC 10 exam, feel free to reach out to us at info@thethinkacademy.com or call +1 (844) 844-6587. Let us guide you on your journey to success in the AMC 10!