>

**Candidates**
Completing Chinese Junior Middle school students or equivalent education background

>

**About the exam**
Candidates are asked to participate in a 45 minutes long lesson. Candidates need to be fully engaged in class learning. They need to take meaning notes, interact with teachers and peers and contribute to team work. Also they are expected to solve two questions related to the new knowledge they have just learned in the lesson independently at the end of the lesson. The lesson will be delivered bilingually. Students can use both Chinese and English in class.

>

**Assessment objectives**
.To know how well students learn new knowledge and apply new knowledge to solve problems

.To check candidates’ logic thinking skills

.To know how well candidates can communicate in Mathematical language

Candidates will be assessed through taking notes, participating in group discussions and solving problems independently.

>

**Contents of the exam**
- 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 2 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

>

**Candidates Students**
who are current Junior 2 or 3 students or equivalent.

>

**Exam 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 foreign 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.

>

**Candidates**
Students who are current high school students or have equivalent study experience.

>

**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.

>

**Contents of the exam**
**Set Theory:** basic concepts of set theory and operations of sets, as mathematical fundamentals;

**Function:** the concept of a function, the basic properties of the function (monotonic functions, even and odd functions), the concepts and operations of exponential functions, logarithmic function and power function;

**Trigonometry:** use trigonometric functions, and vector methods in the solution of triangles, with emphasis on the graphs of trigonometric functions and their properties;

**Plane vectors:** use vector as a tool to solve mathematical problems, conjointly with knowledge of analytic geometry;

**Trigonometric identities:** be able to use trigonometric identities and trigonometric functions to transform, simplify or study various expressions or equations;

**Series:** arithmetic series and its general formula, the sum of the first n items of an arithmetic series and the formulas for such geometric series and its general formula, the sum of the first n items of a geometric series and formulas. Understand the concept of arithmetic and geometric series and the formulas for the sum of the first n terms and the use of them in the solution of simple problems;

**Inequality:** understand the basic nature of inequalities, quadratic inequalities and their solutions; simple linear programming problems.

**Introduction to algorithm:** understand the basic use of computational algorithms and formulas;

**Statistics:** with reference to statistical case studies, understand the concept of random sampling and stratified sampling and how to use these concepts in simple practical problems. In case studies, know how to use of the frequency distribution calculated from the sample to estimate the population distribution, and the use of calculations from the sample to estimate population means and variance;

**Probability:** understand the concept of the probability of random events, and the calculation of probability of such events, use permutations and combinations and their basic formulas to calculate the probability of events in various situations. Know how to use the geometric probability model to find the probability of the occurrence of some evens.

**Solid geometry:** understand elementary plane or three dimensional geometrical diagrams, and simple calculations of geometrical properties such as surface area and volume;

**Points, lines and planes:** know the definition of points, lines and planes and their formulas or equations and the determination of relationship such as whether two lines are parallel or perpendicular and other relationships among geometric figures; Lines and their equations: understand the concept of the measurement of slope and direction of a straight line, know how to find the direction of a line defined by two points, how to find the equation of a line from a given point and a given direction, how to find the equation of a line from various given conditions, how to tell whether two lines are parallel or perpendicular, how to find the distance from a point to line, and to tell the relationship between two lines from their given equations.

**The derivative and its applications:** know how to find the derivatives of a function, and to find the extreme in a monotonic and closed interval;

**Derivative and its application:** know the definition and operation of derivative and the fundamental theorem of calculus; Extend the number system and introduce the complex number, be familiar with the algebraic operations of the complex number; Counting principal, the addition law and the multiplication law, permutation & combination, binomial theorem; Random variable and its distribution, discrete random variable and its distribution function, binomial distribution, mean and variance, normal distribution; statistics case, grasp the idea of regression and independent testing and its tapplication.

Candidates Students who are current high school students or have equivalent study experience. About the exam The test is online test and it is designed to identify candidates’ listening, reading, speaking and writing skills.

Test content |
Questions / task |
Time needed (Minutes) |

Grammar and vocabulary |
50 |
25 |

Reading |
25 |
30 |

Listening |
25 |
50 |

Speaking |
4 |
12 |

Writing |
4 |
50 |

The interview is face to face communication with school teachers and it may last from 10 to 15 minutes per candidate. The candidates need to demonstrate their verbal communication skills, enthusiasm about study, etc.

>

**Content of the exam**
**1.**
The listening test has 25 questions and takes up to 50 minutes. The three types of questions are described below. In the test, these types of questions may not appear in this sequence. Word and number recognition (In these questions, you listen to a short phone message and you need to identify specific information such as a number (e.g. phone number, time) or a word. Identifying specific, factual information (In these questions you listen to short conversations with two speakers or to a monologue and you need to identify specific information. For example, where do they want to go? What do they want to buy?) Inference (In these questions, you again listen to short conversations with two speakers or to a monologue. The focus here is not on understanding the meaning of what the speakers are saying, but on identifying clues in their language or tone to help identify the attitude of the speaker, their intention or opinion.)

**2.**
The reading test takes 30 minutes and is divided into 4 tasks. The tasks become more difficult as the test progresses Sentence comprehension (In this part, you need to choose a word (choice of three) to complete the sentence. There are five sentences to complete. Each sentence in the text is free-standing which means that it is not necessary to understand all of the sentences to complete individual sentences. This part assesses your ability to read a sentence and to complete the sentence with an appropriate word.) Text cohesion (In this part, you will see seven sentences. They belong to a single story that has been jumbled up. There is only one way that the sentences go together to form the story and your task is to click on the sentences and drag them to the correct position in the story. This part assesses your knowledge of the cohesion of a text. You are looking for clues in each sentence that show how it links to other sentences.) Short text comprehension (In this part you will need to read a text (about 150 words). The task is to complete the text by selecting the appropriate words (from a list) to fill in the gaps. To complete all of the text you need to understand more than just a sentence. This part tests your ability to read and understand short texts.) Long text comprehension (This part consists of a long text (about 750 words) with a series of headings. The task is to match the headings to paragraphs in the text (there are seven to be done). There is always an extra heading that does not fit with any paragraph. This part is designed to test your ability to read and understand a long text. In addition, you need to be able to demonstrate an understanding of how the headings reflect the paragraphs in different ways (sometimes using similar words, sometimes similar ideas, or by sharing a topic).

**3.**
The speaking test is divided into four parts and takes about 12 minutes to complete. The following is a brief description of the test parts. Personal information (In this part, you are asked to answer three questions on personal topics. You are expected to talk for 30 seconds per question.)

Describe, express your opinion, provide reasons and explanations (In this part you are asked to describe a photograph and then answer two questions related to the topic illustrated in the photo. The three questions increase in complexity (from description to opinion). You are expected to talk for 45 seconds per question.) Describe, compare and provide reasons and explanations (In this part you are asked to compare two pictures and then answer two questions related to the topic. The three questions increase in complexity (from description to speculation). You are expected to talk for 45 seconds for each question.) Discuss personal experience and opinion on an abstract topic (In the final part, you will see a picture and be asked three questions about an abstract topic. You are given one minute to prepare an answer and can take notes. You are expected to talk for two minutes.)

**4.**
There are four parts to the writing test. You will fill in forms, interact in a social media-type written conversation and write emails. All writing tasks are marked by an examiner. The writing test takes up to 50 minutes, the timings for each section below are recommendations only. Word-level writing (In the first part, you must complete a form by filling in some basic personal information. There is no extended writing in this part (no sentence writing), just individual words. You should spend no more than three minutes on this part.) Short text writing (This part is again about form filling, but this time you need to write in sentences. You should spend no more than seven minutes on this part.) Three written parts of the text, all of which require responses (In this part, you will have a social network-type interaction. You will receive three questions and need to respond. You should spend no more than ten minutes on this part.) Formal and informal writing (This part requires that you write an informal email to a friend and a more formal email to an unknown person. Both emails are in reaction to information about a change. You should spend no more than 20 minutes on this part.)