一文全解！上海国际学校入学测试考什么？

• 数与运算；

• 代数式（整式、分式、二次根式）、代数方程(组)和不等式性质；

• 函数（正反比例函数，一次函数，二次函数★）；

• 几何（相交线平行线，三角形，四边形（梯形和平行四边形），凸多边形、圆★、相似三角形*）。

• 锐角三角比(锐角三角函数和解直角三角形★)

• 平面向量（线性组合）

• 声学、光学

• 运动和力

• 简单机械

• 热

• 压力、压强★

• 电学（电路、电功、电功率）★

• 磁学

化学实验：（1）基本操作和常见仪器试剂；（2）气体的实验室制法；（3）有关物质分离方法和盐的制备 的实验★

• 微粒：分子，离子和原子

• 物质的量、摩尔质量及相关计算★

• 物质：空气（氧气）、碳及其化合物、水、金属、酸、碱、盐★

• 溶液★

• 质量守恒定律

• 燃料燃烧

• 集合与命题：集合及其表示；集合之间的关系（子集与推出关系）；集合的运算★；命题的形式及等价关系（充分条件，必要条件★）；

• 函数的基本性质：函数的概念；函数关系的建立；函数的运算★；函数的基本性质（函数的奇偶性、单调性、函数的值域与最值、函数的零点★），以及简单复合函数。

• 幂函数、指数函数和对数函数★：幂函数的图像与性质；指数函数的图像与性质；反函数的概念及应用；对数及对数函数；简单的指数方程和对数方程。

• 直线运动★

• 力和物体的平衡（江苏省教材的名称是《力和力的相互作用》）★

• 牛顿运动定律★

基本化学用语。酸碱盐性质和其质量，浓度等的相关计算 ★

• 氯碱工业和氯气性质★

• 气体摩尔体积

• 氧化还原反应基本概念、基本计算、配平★

• 海水中提取溴和碘★

• 物质结构★

• 溶解热效应

• 反应热效应和热化学方程式

• 原电池★

英语

· 函数（幂、对、指数函数、反函数★）
· 三角比与三角函数★

· 平面向量
· 集合与不等式

Candidates can follow CAIE IGCSE 0580  syllabus contents in the following parts:
      1. Number
      2. Algebra, mainly focus on:

1. Factorize and  simplify rational expressions.

2. Solve simple  linear equations in one unknown.

3. Solve simultaneous  linear equations in two unknowns.

4. Solve quadratic  equations by factorization, completing the square or by use of the formula.

5. Solve simple  linear inequalities.

6. Continue a given  number sequence.

7. Recognize  patterns in sequences and relationships between different sequences. Find the  nth term of sequences.

8. Express direct  and inverse variation in algebraic terms and use this form of expression to  find unknown quantities.

      3. Two-dimensional geometry including similar triangles
      4. Mensuration
      5. Co-ordinate geometry
      6. Trigonometry

measurements and units
 Measuring length and time
 Volume and density
 Measuring volume and density
 Measuring mass
Conversion  between millimeter, centimeters, meters, kilometers.             
Conversion  between hours, minutes and seconds.
Conversion  between grams, kilograms.
Conversion  between cm3 and m3

Forces  and motion
Speed, velocity  and acceleration
Calculations of  Average speed
Understanding of  distance-time and speed-time graphs
Calculation of  speed from distance-time graphs
Calculation of  distance and acceleration from speed-time graphs
Relation between  mass and weight
Difference  between mass and weight

1, Experimental  techniques:  Measurement (eg. T, M,  V),  Criteria of purity,  Methods of
2, purificationAtoms,  elements and compounds macromolecules 

Chemical equations and basic calculation, the  mole concept

Candidates can follow CIE IGCSE 0580 syllabus contents in the following parts:
     1. Number
     2. Algebra
     3. Geometry
     4. Mensuration
     5. Co-ordinate geometry
     6. Trigonometry

1. Measurements and units
    Measuring length and time
    Volume and density
    Measuring volume and density
    Measuring mass
Conversion  between millimeter, centimeters, meters, kilometers.             
Conversion  between hours, minutes and seconds.
Conversion  between grams, kilograms.
Conversion  between cm3 and m3

2，Forces and motion

Speed, velocity  and acceleration
    Calculations of  Average speed
    Understanding of  distance-time and speed-time graphs
    Calculation of  speed from distance-time graphs
    Calculation of  distance and acceleration from speed-time graphs
    relation between  mass and weight
    difference  between mass and weight
    Understanding of  resultant force 
    Calculation of  resultant force when several forces are given.
    Understanding of  the effect of resultant force on the velocity of the object

3，Calculation of moment

4，Forces  and pressure

Calculation of Pressure using  force and area

5，Production of Sound by  vibrations

Loudness and pitch of Sound

1. Experimental  techniques：measurement (eg. T, M, V)

1. Name  appropriate apparatus for the measurement of time, temperature, mass and  volume, including burettes, pipettes and measuring cylinders

2. Atoms,  elements and compounds macromolecules

1. Define  proton number (atomic number) as the number of protons in the nucleus of an  atom

2. Define  nucleon number (mass number) as the total number of protons and neutrons in the  nucleus of an atom

3. Use  proton number and the simple structure of atoms to explain the basis of the  Periodic, with special reference to the elements of proton number 1 to 20

4. Define  isotopes as atoms of the same element which have the same proton number but a  different nucleon number

5. Ions  and ionic bonds, Molecules and covalent bonds, Metallic bonding

6. List  the general physical properties of metals

7. Describe  the general chemical properties of metals, e.g. reaction with dilute acids and  reaction with oxygen

8. Explain  in terms of their properties why alloys are used instead of pure metals

9. Identify  representations of alloys from diagrams of structure

3. Stoichiolmetry

1. Describe  the build-up of electrons in ‘shells’ and understand the significance of the  noble gas electronic structures and of the outer shell electrons.

2. Describe  the differences between elements, mixtures and compounds, and between metals  and non-metals

3. Use  the symbols of the elements and write the formulae of simple compounds

4. Deduce  the formula of a simple compound from the relative numbers of atoms present

5. Deduce  the formula of a simple compound from a model or a diagrammatic representation

6. Construct  word equations and simple balanced chemical equations

7. Define  relative atomic mass, Ar, as the average mass of naturally occurring atoms of  an element on a scale where the 12C atom has a mass of exactly 12 units

8. Define  relative molecular mass, Mr, as the sum of the relative atomic masses.  (Relative formula mass or Mr will be used for ionic compounds.)

9. (Calculations  involving reacting masses in simple proportions may be set. Calculations will  not involve the mole concept.) redox reaction and change in oxidation states

10. Define  oxidation and reduction in terms of oxygen loss/gain. (Oxidation state limited  to its use to name ions, e.g. iron(II), iron(III), copper(II), manganate(VII).)

4. Acid  and base

1. Describe  the characteristic properties of acids as reactions with metals, bases,  carbonates and effect on litmus and methyl orange

2. Describe  the characteristic properties of bases as reactions with acids and with  ammonium salts and effect on litmus and methyl orange

3. Describe  neutrality and relative acidity and alkalinity in terms of pH measured using  universal indicator paper (whole numbers only)

Candidates can follow CAIE Math 9709  syllabus for Pure Mathematics 1 (P1 & S1) in the following parts:
    P1:
        1.  Quadratics
        2.  Functions
        3.  Coordinate geometry
        4.  Trigonometry
        5.  Series
        6.  Differentiation
        7.  Integration
    S1:
        1. Permutation and combinations
        2. probability
        3. discrete random variables including  (geometric distribution and binomial distribution)