A-Level Mathematics (OCR)

Course Overview 课程介绍

OCR A-Level 数学 A，线性结构，纯数、力学与统计三大板块，三份试卷等权重。

OCR A-Level Mathematics A (H240) is a linear two-year course assessed by three written papers at the end of Year 13. OCR A-Level has moved to a linear structure since 2015, so all exams are taken at the end of the course. The specification integrates Pure mathematics with two applied strands, Mechanics and Statistics, and is underpinned by three overarching themes: mathematical argument and proof, problem solving, and mathematical modelling. A core subject for mathematics, engineering, physics, economics and computer science applicants.

Key Facts 基本信息

Exam Board (考试局)	Oxford, Cambridge and RSA Examinations (OCR)
Specification Code (代码)	H230 (AS) / H240 (A-Level)
Structure (结构)	Linear (since 2017); AS is a standalone qualification and does not count towards A-Level
Grading (评分)	A* - E (A* only for full A-Level)
Exam Papers (试卷)	A-Level: Pure / Pure + Statistics / Pure + Mechanics · AS: two mixed papers
Coursework (课程作业)	No coursework; a pre-release large data set is used for statistics questions

AS / Year 1 Syllabus AS 阶段章节

ASPure Mathematics: Proof, Algebra and Functions

Proof, indices and surds, quadratics, simultaneous equations, inequalities, polynomials, graphs, functions and transformations
ASPure Mathematics: Coordinate Geometry, Sequences and Trigonometry

Straight lines and circles, binomial expansion, arithmetic and geometric sequences, trigonometric ratios, equations and identities, radians
ASPure Mathematics: Exponentials, Calculus and Vectors

Exponentials and logarithms, differentiation and its applications, integration, vectors in two dimensions
ASStatistics: Sampling, Data, Probability and Distributions

Statistical sampling, data presentation and interpretation, probability, the binomial distribution, hypothesis testing
ASMechanics: Kinematics, Forces and Newton's Laws

Quantities and units in mechanics, kinematics in one and two dimensions, forces, Newton's laws of motion

A2 / Year 2 Syllabus A2 阶段章节

A2Pure Mathematics: Functions, Series and Trigonometry (Advanced)

Functions and modulus, partial fractions, general binomial expansion, sequences and series, compound and double angle formulas, reciprocal and inverse trigonometric functions
A2Pure Mathematics: Differentiation and Integration (Advanced)

Chain, product and quotient rules, implicit and parametric differentiation, integration by substitution, parts and partial fractions, differential equations
A2Pure Mathematics: Numerical Methods and Vectors (3D)

Numerical methods for equations and integration, vectors in three dimensions
A2Statistics: Normal Distribution and Further Hypothesis Testing

The normal distribution, correlation coefficients, further hypothesis testing using the normal distribution
A2Mechanics: Moments, Projectiles and Friction

Moments, projectiles, applications of forces, friction and connected particles

Exam Structure (OCR H240) 考试结构

Paper 1 (Pure mathematics)	A-Level · 2h · 100 marks · 33⅓%
Paper 2 (Pure mathematics and statistics)	A-Level · 2h · 100 marks · 33⅓% (≈50 pure + ≈50 statistics)
Paper 3 (Pure mathematics and mechanics)	A-Level · 2h · 100 marks · 33⅓% (≈50 pure + ≈50 mechanics)
AS Paper 01 (Pure + Statistics)	AS · 1h30m · 75 marks · 50% of AS
AS Paper 02 (Pure + Mechanics)	AS · 1h30m · 75 marks · 50% of AS

Suitable Majors & Pathway 适用专业与衔接

数学、工程、物理、经济与计算机的基础科目，量化建模与逻辑推理能力并重。

A-Level Mathematics is a foundational subject for mathematics, engineering, physics, computer science, economics, finance and data science. Most quantitative UK degree programmes list A-Level Mathematics as a required or strongly preferred subject. The course develops algebraic fluency, calculus, statistical reasoning and mathematical modelling, and is usually paired with A-Level Further Mathematics for applicants to top-tier mathematics, physics and engineering degrees.