2026 World Elite Mathematics Championship  Season 1

Entry Requirements：

1. Basic Historical Knowledge

This module focuses on core mathematical concepts, including the basic framework of arithmetic and algebra (such as integer and fraction operations, linear and quadratic equation solving, arithmetic and geometric sequence properties), the fundamental characteristics of geometry (such as plane figure perimeter and area calculation, spatial solid structure and volume, coordinate system basic rules), and classic mathematical theorems and models (such as Pythagorean theorem, congruent triangle criteria, greatest common divisor and least common multiple principles). It systematically assesses the basic system of mathematics, covering the application of number operation rules in daily scenarios, the evolution of basic mathematical models (such as the derivation of simple functional relationships, the application of geometric transformation methods), the connection between basic mathematical knowledge and practical life, as well as the meanings and applications of mathematical terms (such as "factorization", "probability", "similar figures", "linear function"). The content encompasses the disciplinary characteristics of different mathematical fields and their manifestations in problem-solving, helping to deeply understand the basic classification laws of mathematical phenomena, the operation principles of mathematical rules, and mathematical diversity—including the constituent elements of mathematical problems, the evolutionary trajectory of mathematical thinking, and an overview of major mathematical fields (such as algebra, geometry, number theory, combinatorics).

2. Historical Phenomena and Theoretical Principles

This module explores the causes, evolutionary mechanisms, and far-reaching impacts of mathematical phenomena, such as the core logic of number operation rules (such as the derivation of four arithmetic operation laws, the application principles of algebraic deformation), the driving factors and practical effects of mathematical model construction (such as the establishment of functional relationships for practical problems, the application of geometric models in spatial measurement), and the operational logic of mathematical thinking methods (such as the application of inductive reasoning in rule exploration, the use of deductive reasoning in theorem proof). It analyzes the operation and adaptation principles of mathematical contexts (such as the interaction laws between algebraic calculation and geometric analysis, the problem-solving mechanisms of comprehensive mathematical scenarios) and core mathematical theories (such as the principle of equation equivalence transformation, the comparative method of similar mathematical models). It conducts in-depth study of the interrelationships between algebraic, geometric, number theory, and combinatorial fields in mathematics, the driving factors of mathematical method innovation (such as the impact of digital technology on calculation efficiency, the influence of practical needs on model optimization), as well as the inherent laws of mathematical phenomena (such as the universality of mathematical rules in different scenarios, the evolutionary cycle of problem-solving strategies). It also explores the role of logical thinking in mathematical research (such as the impact of rigorous reasoning on problem-solving accuracy, the promotion of innovative thinking on mathematical method development).

3. Historical Practice and Application

This module strengthens practical mathematical skills, including the use of common mathematical tools (such as calculation tools operation, statistical chart reading and analysis, geometric drawing tools application) and the handling of basic mathematical tasks (such as data collection and sorting, mathematical model establishment, simple mathematical problem optimization design). Through case analysis simulating real-life scenarios, it guides participants to interpret mathematical data and information (such as daily expense statistics, commodity sales data, engineering construction parameters), evaluate the advantages and disadvantages of mathematical solutions in specific scenarios (such as the rationality of resource allocation schemes, the efficiency of calculation method selection), and formulate reasonable response plans for specific mathematical contexts (such as simulating commodity pricing strategy design based on profit goals, simulating engineering schedule planning combined with efficiency requirements). It initially applies mathematical research methods to conduct simple mathematical analysis, such as comparing similarities and differences between different problem-solving methods, estimating the practical effect of mathematical solutions, and comparing similar mathematical problems in different scenarios (such as the evolutionary comparison of application strategies for travel problems in different contexts).

4、Question Types and Difficulty Levels

The competition features diverse question types, including multiple-choice questions, fill-in-the-blank questions, short-answer questions, calculation questions, and mathematical model design questions (such as practical scenario optimization scheme design). The difficulty level is adjusted according to participants' age and knowledge reserves: the Children's Group focuses on the memory and simple application of basic mathematical knowledge, while the Youth Group emphasizes in-depth understanding of mathematical theories and the ability to solve complex mathematical problems.​