CSCA Mathematics Examination Syllabus Overview

CSCA Mathematics Examination Syllabus (2025 Edition)

I. Examination Purpose

  • The examination's main goal is to evaluate the mastery of mathematical knowledge among international students.

  • Focus areas include:

    • Fundamental mathematical skills

    • Logical thinking ability

    • Problem-solving competence

  • The examination ensures students have a strong academic foundation necessary for undergraduate studies at Chinese universities.

  • It establishes a solid groundwork for further study in mathematics as well as related disciplines in science and engineering.

II. Examination Format and Structure

  1. Duration: 60 minutes

  2. Total Score: 100 points

  3. Language: Chinese or English

  4. Question Type: Multiple Choice (Single Answer)

  5. Number of Questions: 48

  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, which include:

    • Quadratic inequalities

    • Rational inequalities

  2. Functions

    • Core concepts and properties of functions, such as:

    • Domain

    • Range

    • Monotonicity

    • Parity

    • Basic elementary functions:

    • Power functions

    • Exponential functions

    • Logarithmic functions

    • Trigonometric functions

    • Sequences, inclusive of:

    • General term formula

    • Summation of arithmetic sequences

    • Summation of geometric sequences

    • Basics of derivatives and calculus:

    • Definition of derivatives

    • Geometric meaning of derivatives

    • Simple applications of calculus

  3. Geometry and Algebra

    • Plane analytic geometry, which encompasses:

    • Equations and properties of various curves:

      • Lines

      • Circles

      • Ellipses

      • Hyperbolas

      • Parabolas

    • Vectors and complex numbers:

    • Vector operations

    • Basic operations of complex numbers

    • Solid geometry, which includes:

    • Rectangular coordinate system in space

    • Properties of simple solids

  4. Probability and Statistics

    • Classical probability model and methods for probability calculation.

    • Numerical characteristics of data:

    • Mean

    • Variance

    • Basic concepts pertaining to normal distribution.