A Level数学包括基础数学(Mathematics)和进阶数学(Further Mathematics)两门课程。两者之间关系是连续性的，一般学生申请常规专业只需要选择其中一门参加考试即可。但如果你很想选数学类专业方向的学生，那么就需要两门一起选考。

Mathematics 9709

基础数学可以说是一门必考科目。根据2023-2025年的syllabus, 基础数学包括三门课程纯数(P1、P2、P3) paper1-3, 概率统计(S1、S2) paper5-6, 以及力学(M1) paper4。在选择Mathematics之前，学生需要有 IGCSE Mathematics, or Cambridge International O Level 的数学基础。

基础数学一共有6份卷子：

Paper 1: Pure Mathematics 1 (75分)

Paper 2: Pure Mathematics 2 (50分)

Paper 3: Pure Mathematics 3(75分)

Paper 4: Mechanics (50分)

Paper 5: Probability & Statistics 1 (50分)

Paper 6: Probability & Statistics 2 (50分)总的来说，AS Level 考生需要从中挑选两份paper来进行考试.。而A Level考生一共需要考出4份paper的成绩. 考生可以分两年考完4张paper，或者在A Level这一年一次考完4张paper。

AS Level考生的选择组合有以下三个：

Pure Mathematics only (Paper 1 and Paper 2)- 不能进阶到A Level阶段考试

Pure Mathematics and Mechanics (Paper 1 and Paper 4)

Pure Mathematics and Probability & Statistics (Paper 1 and Paper 5).A Level考生的选择组合有以下两个：

Pure Mathematics, Mechanics and Probability & Statistics (Papers 1, 3, 4 and 5)

Pure Mathematics and Probability & Statistics (Papers 1, 3, 5 and 6)注意：

学生不允许选择Paper 4 + Paper 6， 因为paper 6需要有Paper 5的知识基础。

Paper3 和Paper6不能在AS Level阶段选考。

很多不擅长物理的学生会在考试中只选择纯数+统计的组合考卷。考卷时间分布及细则如下：

每份Paper的考试内容

Paper 1: Pure Mathematics 1 考核：

Quadratics, Functions,Coordinate geometry, Circular measure, Trigonometry, Series, Differentiation, Integration

Paper 2: Pure Mathematics 2 考核：

Algebra, Logarithmic and exponential functions, Trigonometry, Differentiation, Integration, Numerical solution of equations

Paper 3: Pure Mathematics 3考核：

Algebra, Logarithmic and exponential functions, Trigonometry, Differentiation, Integration, Numerical solution of equations, Vectors, Differential equations, Complex numbers

Paper 4: Mechanics考核：

Forces and equilibrium, Kinematics of motion in a straight line, Momentum, Newton’s laws of motion, Energy, work and power

Paper 5: Probability & Statistics 1考核：

Representation of data, Permutations and combinations, Probability, Discrete random variables, The normal distribution

Paper 6: Probability & Statistics 2考核：

The Poisson distribution, Linear combinations of random variables, Continuous random variables, Sampling and estimation, Hypothesis tests以上便是CAIE A-LEVEL基础数学的最新2023-2025年的改革信息，备考的同学们请务必好好看看!