Introduction to the Examination
This bilingual examination assesses mathematical knowledge and problem-solving ability for entering Grade 9. The paper requires explicit reasoning and step-by-step deductions, and is presented in both Chinese and English.

Examination Time and Format
Time allowed: 50 minutes for the Mathematics section.
Total Mark is 40’ (Section A: 30’ + Section B: 10’)

Paper Structure
The exam comprises two sections: Section A (Mandatory) and Section B (Optional):
Section A tests core content through a range of question types, from algebraic manipulation to geometry and applied word problems.
Section B offers challenging optional questions to further assess deeper understanding and problem-solving skills.

Examination Content
Algebraic expressions: including their basic calculation, such as multiplication and division.

Equation and simultaneous equation

Inequality and simultaneous inequality

Quantitative analysis in the daily situation problems: such as their applications.

Factorization of polynomials: including quadratic functions.

Functions and their graphs: linear and quadratic functions, inverse functions, and how to sketch the graph of a given function.

Geometry in two dimensions: such as the equation of lines, gradients and intercepts; also the trigonometry.

Geometry in three dimensions: including the volume and the surface area of spheres, cones, cylinders and cubes.

Statistics and Probability: such as basic calculation involving mean/average, median and mode, and some simple probabilities.

Format
Consists of a written examination (computer-based) and an interview.
content
The written examination is a MAP (Measures of Academic Progress) computer-based English test with a duration of 80 minutes. It focuses on assessing English grammar and usage, language conventions, reading comprehension and analytical skills, as well as vocabulary knowledge and application, providing a comprehensive evaluation of the student's practical English proficiency. The test consists of multiple-choice questions. The examination system employs Computerized Adaptive Testing (CAT) technology, in which the difficulty of the questions is dynamically adjusted based on the student's real-time performance during the test, aiming to more accurately reflect the student's true ability level.
The interview lasts for 10-15 minutes, and the teachers will conduct one-on-one interviews. The interviewer will make an individual comprehensive assessment based on the candidates' communication skills and enthusiasm for learning.

Nature of the Examination
This is a selective mathematics examination for students who have completed the first year of senior high school in the full-time compulsory education system, as well as candidates with equivalent academic qualifications. The test papers for international students are the same in terms of questions but are in English.

Examination Format
The examination is conducted in a closed book written format, with a full score of 50 points and a test duration of 50 minutes.

Paper Structure
The paper consists of three types of questions: multiple-choice questions, fill-in-the-blank questions, and problem-solving questions. The approximate score distribution of the three question types is as follows:
Part 1: Multiple-choice Questions: Accounting for 20% of the total score. Multiple-choice questions are single-choice questions with four options (A, B, C, D), among which only one is correct.
Part 2: Fill-in-the-blank Questions: Accounting for 20% of the total score. For fill-in-the-blank questions, only the final result needs to be filled in directly, and there is no need to write the calculation process or reasoning process.
Part 3: Problem-solving Questions: Accounting for 60% of the total score. Problem-solving questions include calculation questions, proof questions, application questions, graphing questions, etc. For problem-solving questions, candidates should write textual explanations, calculation steps, reasoning processes, or draw graphs correctly as required by the questions.
The paper is in both Chinese and English versions. If you choose the Chinese version of the paper, please answer in Chinese; if you choose the English version of the paper, please answer in English.

Examination Content
Number: Types of numbers; sets; powers and roots; fractions, decimals, and percentages; ordering; four fundamental operations (addition, subtraction, multiplication, division); exponents; standard form; estimation; precision; ratio and proportional relationships; rates; percentages; time; currency; exponential growth and decay; radicals; use of calculators.
Algebra and graphs: Basic algebra; algebraic operations; algebraic fractions; linear equations and quadratic equations; inequalities; arithmetic sequences; proportions; linear graphs in real-world contexts; graphs of linear and quadratic functions and their plotting; differentiation; functions; composite functions; inverse functions; equations of circles; exponents; linear inequalities and quadratic inequalities.
Coordinate geometry: Coordinates of points in the Cartesian plane; plotting linear graphs in the Cartesian plane; calculating the slope of a linear graph; calculating the distance between two points and their midpoint; finding the equation of a linear graph; determining the parallel and perpendicular relationships between two lines; calculating the intersection point of two intersecting lines and its coordinates.
Geometry: Geometric terms; geometric constructions; scale drawings; similarity of figures; symmetry of figures; angles; circle theorems; surface area and volume of three-dimensional objects.
Mensuration:Units of measurement; area and perimeter; circles, arcs, and sectors; surface area and volume; shapes and parts of shapes.
Trigonometry: Pythagorean theorem; right-angled triangles; exact trigonometric values; trigonometric functions and their graphs; non-right-angled triangles; Pythagorean theorem and trigonometry in three dimensions; sine rule and cosine rule.
Graph Transformations and Vectors: Transformations of graphs; two-dimensional vectors; magnitude of vectors; vector geometry.
Probability: Basic probability; relative frequency and expected frequency; probability of combined events; conditional probability.
Statistics: Classification of statistical data; interpretation of statistical data; measures of central tendency and dispersion; statistical graphs and charts; scatter plots; cumulative frequency graphs; histograms.

Format
Consists of a written examination (computer-based) and an interview.
content
The written examination is a MAP (Measures of Academic Progress) computer-based English test with a duration of 80 minutes. It focuses on assessing English grammar and usage, language conventions, reading comprehension and analytical skills, as well as vocabulary knowledge and application, providing a comprehensive evaluation of the student's practical English proficiency. The test consists of multiple-choice questions. The examination system employs Computerized Adaptive Testing (CAT) technology, in which the difficulty of the questions is dynamically adjusted based on the student's real-time performance during the test, aiming to more accurately reflect the student's true ability level.
The interview lasts for 10-15 minutes, and the teachers will conduct one-on-one interviews. The interviewer will make an individual comprehensive assessment based on the candidates' communication skills and enthusiasm for learning.