How to Register for the 2026 AMC8 If Your School Is Not a Test Center? What Are the Syllabus Changes? Plus 2000-2025 Bilingual Past Papers

I. Registration Guide

The AMC 8 is held once a year in January (the next sitting is the January 2027 season), with registration closing shortly before the contest. The registration fee is 120 RMB per person. Registration is done collectively by schools or authorized agencies; individual direct registration is not allowed.

The main registration channels include: first, group registration through full-time schools that have been certified as test centers; second, proxy registration through officially authorized agencies. For registration, you need to prepare a scanned copy of your ID card or passport, an electronic ID photo, and proof of current grade.

Summary of Key Registration Information:

II. Syllabus Overview

With its 25 multiple-choice question format, the AMC8 places real emphasis on interdisciplinary applications and logical reasoning. The geometry module includes analysis of 3D nets, while the algebra and probability sections feature real-world scenario modeling problems, such as promotion and pricing models and function-based applications.

The specific distribution of each module is as follows:

Distribution and Key Content of the Four AMC8 Modules

III. Key Difficulties and Strategies

Algebra Module: The algebra module has the largest number of questions, focusing on basic operations and applied problem-solving. Ratio and fraction calculations account for 6-9 questions, often involving multi-step percentage conversions; equations and word problems account for 3-6 questions, focusing on speed-time-distance relationships in travel problems and work-rate models. Quadratic function modeling and probability problems, such as discount and promotion problems, require students to apply mathematical knowledge to real-life situations.

Geometry Module: The geometry module emphasizes spatial thinking and the flexible use of formulas, and is key to differentiating students. Triangle properties involve the Pythagorean theorem and similarity criteria, accounting for 2-4 questions; perimeter and area calculations of circles and polygons account for 1-3 questions. The analysis of 3D nets requires students to have good spatial imagination, such as problems about the unfolding path of a packaging box.

Number Theory & Combinatorics Module: The weight of number theory and combinatorics has been rising, with a focus on prime factorization and divisibility properties. This section can be demanding, requiring mastery of short division to efficiently find the least common multiple (LCM) and greatest common divisor (GCD), with prime factorization involving the rapid decomposition of large numbers.

IV. High-Score Tips

Time management is the key to success in the AMC8. You have 40 minutes to complete 25 questions, averaging only 1 minute and 36 seconds per question. A recommended layered problem-solving strategy is:

Basic level (Questions 1–10): Limit to 8 minutes, aiming for 100% accuracy.

Intermediate level (Questions 11–20): Allocate 15 minutes, making good use of the substitution of special values method.

Challenge level (Questions 21–25): Reserve 17 minutes, prioritizing combinatorial counting or geometry transformation problems.

Core problem-solving techniques include:

Proof by Contradiction: For existence propositions.

Inclusion-Exclusion Principle: To solve overlapping counting problems.

Dynamic Graphing Method: Quickly sketch extreme cases when you have no clear idea in a geometry problem.

Paper-Folding Experiment Method: For 3D geometry problems, use scratch paper to create a simple model to aid understanding.

Avoiding common traps can also effectively boost your score. Common traps that test-takers often fall into include:

Misreading the problem: For example, confusing “growth rate” with “growth amount.”

Calculation errors: Skipping steps leading to sign errors.

Fixed thinking patterns: Ignoring multiple possible configurations in geometry problems.

Circling keywords while reading, writing intermediate steps separately, and underlining key results in complex calculations can all effectively reduce errors.

V. Sample Problems

Below are typical questions that illustrate the style of the AMC8:

Algebra Example: The product of two positive integers is 24, and their sum is 11. Find the larger number. The solution approach is to set the two numbers as x and y, list the equations xy=24 and x+y=11, solve to get x=8, y=3, so the larger number is 8. This problem tests integer factorization and the concept of quadratic equations.

Geometry Example: Isaiah cuts open a cube, and the area of its net is 18 cm². Find the volume of the original cube. The solution approach is: a cube has 6 faces, and the area of the net is 18 cm², so the area of each face is 3 cm². The edge length is √3 cm, and the volume is (√3)³ = 3√3 cm³. This problem tests the ability to convert between 3D and 2D representations.

Number Theory Example: Remove one number from 15, 16, 17, 18, 19 so that the sum of the remaining four numbers is a multiple of 4. Find the number that was removed. The key to solving is to calculate the total sum of the five numbers: 85, which leaves a remainder of 1 when divided by 4. Therefore, you need to remove a number that also leaves a remainder of 1 when divided by 4, which is 17. This problem tests the ability to determine divisibility properties of integers.

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