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Format and content
Written Examination in bilingual. It requires the examinee to present the complete deduction and mathematical proceeding of each question on the paper. Examinee can refer to the following knowledge nodes:
1. Algebraic expressions, including their basic calculation, such as multiplication and division
2. Equation and simultaneous equation
3. Inequality and simultaneous inequality
4. Quantitative analysis in the daily situation problems, such as their applications
5. Factorization of polynomials, including quadratic functions
6. Functions and their graphs: linear and quadratic functions, inverse functions, and how to sketch the graph of a given function
7. Geometry in 2 dimensions, such as the equation of lines, gradients and intercepts; also the trigonometry
8. Geometry in three dimensions, including the volume and the surface area of spheres, cones, cylinders and cubes
9. Statistics and Probability, such as basic calculation involving mean/average, median and mode, and some simple probabilities
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Format and content
The examination includes a computer-based test and an interview. The computer-based test lasts for 80 minutes. It mainly evaluates the candidates' ability of Use of English (grammar and vocabulary) and Listening. The type of questions are multiple-choice and fill-in-the-blank. The test is computer adaptive, which means that the test adjusts the difficulty of questions based on the student’s responses. 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.
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About the exam
The exam is closed-book exam. There will be long and short answer questions. Candidates are required to write down the processes of solving the problems and present clear and logic thinking. The exam lasts 60 minutes and approximate 7 questions need to be answered. Grades are given when the papers are marked, which are A,B,C,D and U. Grade C is the admitted grade.
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Contents of the exam
Number: Types of number; Sets; Powers and roots; Fractions, decimals and percentages; Ordering; The four operations; Indices; Standard form; Estimation; Limits of accuracy; Ratio and proportion; Rates; Percentages; Time; Money; Exponential growth and decay; Surds; Using a calculator
Algebra and graphs: Introduction to algebra; Algebraic manipulation; Algebraic fractions; Linear and quadratic equations; Inequalities; Arithmetic sequence; Proportion; Graphs in practical situations; Graphs of functions; Sketching curves; Differentiation; Functions including composite functions and inverse functions; Equation of circle; Exponentials; Linear and quadratic inequalities
Coordinate geometry: Coordinates; Drawing linear graphs; Gradient of linear graphs; Length and midpoint between two points; Equations of linear graphs; Parallel lines; Perpendicular lines
Geometry: Geometrical terms; Geometrical constructions; Scale drawings; Similarity; Symmetry; Angles; Circle theorems; Surface area and volume of 3D objects
Mensuration:Units of measure; Area and perimeter; Circles, arcs and sectors; Surface area and volume; shapes and parts of shapes
Trigonometry: Pythagoras’ theorem; Right-angled triangles; Exact trigonometric values; Trigonometric functions and graphs; Non-right-angled triangles; Pythagoras’ theorem and trigonometry in 3D; Sine Rule and Cosine Rule
Transformations and vectors: Transformations; Vectors in two dimensions; Magnitude of a vector; Vector geometry
Probability: Introduction to probability; Relative and expected frequencies; Probability of combined events; Conditional probability
Statistics: Classifying statistical data; Interpreting statistical data; Averages and measures of spread; Statistical charts and diagrams; Scatter diagrams; Cumulative frequency diagrams; Histograms
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Format and content
The examination includes a computer-based test and an interview. The computer-based test lasts for 80 minutes. It mainly evaluates the candidates' ability of Use of English (grammar and vocabulary) and Listening. The type of questions are multiple-choice and fill-in-the-blank. The test is computer adaptive, which means that the test adjusts the difficulty of questions based on the student’s responses. 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.