CSCA Mathematics Examination Syllabus (2025 Edition)

CSCA Mathematics Examination Syllabus (2025 Edition)

I. Examination Purpose

  • The examination aims to assess the following:

    • Mastery of Mathematical Knowledge: Focuses on fundamental skills required for academia.

    • Logical Thinking Ability

    • Problem-Solving Competence

  • Ensures that students have:

    • A solid academic foundation for undergraduate studies at Chinese universities.

    • Groundwork for further studies in mathematics, science, and engineering disciplines.

II. Examination Format and Structure

  1. Duration: 60 minutes

  2. Total Score: 100 points

  3. Language: The examination may be conducted in either Chinese or English.

  4. Question Type: Multiple Choice (Single Answer)

  5. Number of Questions: A total of 48 questions.

  6. Content Modules:

    • Sets and Inequalities

    • Functions

    • Geometry and Algebra

    • Probability and Statistics

III. Examination Content and Scope

  1. Sets and Inequalities

    • Definition, operations, and representation of sets.

    • Basic properties and solution methods of inequalities:

      • An emphasis on quadratic and rational inequalities.

  2. Functions

    • Concepts and properties of functions:

      • Domain, Range, Monotonicity, Parity, etc.

    • Basic elementary functions include:

      • Power functions, Exponential functions, Logarithmic functions, and Trigonometric functions.

    • Sequences:

      • General term formula and summation calculations for:

      • Arithmetic sequences.

      • Geometric sequences.

    • Basics of derivatives and calculus:

      • Definition, geometric meaning, and simple applications of derivatives.

  3. Geometry and Algebra

    • Plane analytic geometry:

      • Equations and properties involving:

      • Lines, Circles, Ellipses, Hyperbolas, Parabolas.

    • Vectors and complex numbers:

      • Vector operations and basic operations with complex numbers.

    • Solid geometry:

      • Understanding of rectangular coordinate systems in space and properties of simple solids.

  4. Probability and Statistics

    • Classical probability models and methods for probability calculation.

    • Numerical characteristics of data, including:

      • Mean, Variance, etc.

    • Basic concepts of normal distribution.

  1. Sets and Inequalities

    • Definition, operations, and representation of sets.

    • Basic properties and solution methods of inequalities:

      • An emphasis on quadratic and rational inequalities.de