Pearson Edexcel · International GCSE
数学 A
Papers, samples and curriculum documents for this course. · 本课程的文件、样卷和课程大纲。
Qualification code · 资格代码: 4MA1
Recent past papers · 近期真题
18 paper and mark-scheme pairs · 真题与评分标准对
Browse papers and mark schemes · 浏览文件和评分标准 →Course units and learning goals · 课程单元与学习目标
These lessons teach selected course objectives. Check the remaining coverage gaps; the material is not a complete preparation programme. · 这些课程教授选定的教学目标。请检查剩余的覆盖缺口；本材料并非完整的备考方案。
1 · Numbers and the number system
- Exact arithmetic and estimation: A prime number that divides the integer exactly.
- Indices, surds and standard form: The power to which a base is raised.
- Percentages, ratio and proportional reasoning: A factor that performs a percentage change in one multiplication.
- Accuracy, bounds and compound measures: The smallest possible value consistent with a stated rounding rule.
- prime factor
- A prime number that divides the integer exactly.
- index
- The power to which a base is raised.
- multiplier
- A factor that performs a percentage change in one multiplication.
- lower bound
- The smallest possible value consistent with a stated rounding rule.
2 · Equations, formulae and identities
- Equations, identities and rearrangement: An equality that holds for every allowed value of its variable.
- Quadratics and inequalities: The quantity b²-4ac that determines the real roots of ax²+bx+c=0.
- Simultaneous equations and feasible regions: Combining equations to remove one variable while retaining the same solutions.
- identity
- An equality that holds for every allowed value of its variable.
- discriminant
- The quantity b²-4ac that determines the real roots of ax²+bx+c=0.
- elimination
- Combining equations to remove one variable while retaining the same solutions.
3 · Sequences, functions and graphs
- Sequences, series and recurrence: The constant multiplier between consecutive terms of a geometric sequence.
- Coordinate geometry and tangents: The change in y divided by the corresponding change in x.
- Domains, inverses and composition: The set of allowed inputs to a function.
- Derivatives and stationary points: The instantaneous rate of change, also the gradient of a tangent.
- common ratio
- The constant multiplier between consecutive terms of a geometric sequence.
- gradient
- The change in y divided by the corresponding change in x.
- domain
- The set of allowed inputs to a function.
- derivative
- The instantaneous rate of change, also the gradient of a tangent.
4 · Geometry and trigonometry
- Angle reasoning, similarity and mensuration: The multiplier that relates corresponding lengths in similar shapes.
- Right triangles and non-right triangles: The side opposite the right angle in a right-angled triangle.
- Circle theorems and reasoned proofs: A quadrilateral whose four vertices lie on one circle.
- Constructions, loci and geometric conditions: The set of all points satisfying a stated geometric condition.
- scale factor
- The multiplier that relates corresponding lengths in similar shapes.
- hypotenuse
- The side opposite the right angle in a right-angled triangle.
- cyclic quadrilateral
- A quadrilateral whose four vertices lie on one circle.
- locus
- The set of all points satisfying a stated geometric condition.
5 · Vectors and transformation geometry
- Vectors and transformation geometry: The vector sum representing the combined displacement or force.
- Reflections, rotations and enlargements: The point from which each point's displacement is multiplied by a scale factor.
- resultant
- The vector sum representing the combined displacement or force.
- centre of enlargement
- The point from which each point's displacement is multiplied by a scale factor.
6 · Statistics and probability
- Data summaries, histograms and interpretation: Frequency divided by class width, used as histogram height.
- Probability, trees and conditional reasoning: The probability of an event after restricting the sample space to a stated condition.
- Cumulative frequency and box plots: The difference between the upper and lower quartiles.
- frequency density · 频率密度
- Frequency divided by class width, used as histogram height.
- conditional probability
- The probability of an event after restricting the sample space to a stated condition.
- interquartile range
- The difference between the upper and lower quartiles.
Preparing for this qualification · 备考指南
- This is linear Mathematics A (4MA1), not Mathematics B or the modular qualification.
- Both papers use the same tier. Foundation targets 1–5; Higher targets 4–9. Tier formula sheets are supplied.
Teaching coverage still needed · 仍需教学覆盖内容
- Official question-bank boundaries, scheme alignment and all objective-level teaching coverage require the recorded review; no practice registry promotion.
- The authored diagnostic assessments are not full-length qualification mocks.
Specifications and sample documents · 课程大纲和样件文件
Course materials · 课程资料
Course preparation · 课程准备
Documents are available. Board-specific notes, assessments and interactive past-paper practice are not yet available for every course. · 文档已提供。并非所有课程都具备考试局特定的注释、测评及交互式历年真题练习。
Lessons · 课程 →