Pearson Edexcel · International GCSE
Mathematics A
Papers, samples and curriculum documents for this course.
Qualification code: 4MA1
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18 paper and mark-scheme pairs
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Handouts · IGCSE Mathematics (9)
Exercise sheets · IGCSE Mathematics (125)
- C1.1 Types of number
- C1.2 Sets
- C1.3 Powers and roots
- C1.4 Fractions, decimals and percentages
- C1.5 Ordering
- C1.6 The four operations
- C1.7 Indices I
- C1.8 Standard form
- C1.9 Estimation
- C1.10 Limits of accuracy
- C1.11 Ratio and proportion
- C1.12 Rates
- C1.13 Percentages
- C1.14 Using a calculator
- C1.15 Time
- C1.16 Money
- C2.1 Introduction to algebra
- C2.2 Algebraic manipulation
- C2.4 Indices II
- C2.5 Equations
- C2.6 Inequalities
- C2.7 Sequences
- C2.9 Graphs in practical situations
- C2.10 Graphs of functions
- C2.11 Sketching curves
- C3.1 Coordinates
- C3.2 Drawing linear graphs
- C3.3 Gradient of linear graphs
- C3.5 Equations of linear graphs
- C3.6 Parallel lines
- C4.1 Geometrical terms
- C4.2 Geometrical constructions
- C4.3 Scale drawings
- C4.4 Similarity
- C4.5 Symmetry
- C4.6 Angles
- C4.7 Circle theorems
- C5.1 Units of measure
- C5.2 Area and perimeter
- C5.3 Circles, arcs and sectors
- C5.4 Surface area and volume
- C5.5 Compound shapes and parts of shapes
- C6.1 Pythagoras’ theorem
- C6.2 Right-angled triangles
- C7.1 Transformations
- C8.1 Introduction to probability
- C8.2 Relative and expected frequencies
- C8.3 Probability of combined events
- C9.1 Classifying statistical data
- C9.2 Interpreting statistical data
- C9.3 Averages and range
- C9.4 Statistical charts and diagrams
- C9.5 Scatter diagrams
- E1.1 Types of number
- E1.2 Sets
- E1.3 Powers and roots
- E1.4 Fractions, decimals and percentages
- E1.5 Ordering
- E1.6 The four operations
- E1.7 Indices I
- E1.8 Standard form
- E1.9 Estimation
- E1.10 Limits of accuracy
- E1.11 Ratio and proportion
- E1.12 Rates
- E1.13 Percentages
- E1.14 Using a calculator
- E1.15 Time
- E1.16 Money
- E1.17 Exponential growth and decay
- E1.18 Surds
- E2.1 Introduction to algebra
- E2.2 Algebraic manipulation
- E2.3 Algebraic fractions
- E2.4 Indices II
- E2.5 Equations
- E2.6 Inequalities
- E2.7 Sequences
- E2.8 Proportion
- E2.9 Graphs in practical situations
- E2.10 Graphs of functions
- E2.11 Sketching curves
- E2.12 Differentiation
- E2.13 Functions
- E3.1 Coordinates
- E3.2 Drawing linear graphs
- E3.3 Gradient of linear graphs
- E3.4 Length and midpoint
- E3.5 Equations of linear graphs
- E3.6 Parallel lines
- E3.7 Perpendicular lines
- E4.1 Geometrical terms
- E4.2 Geometrical constructions
- E4.3 Scale drawings
- E4.4 Similarity
- E4.5 Symmetry
- E4.6 Angles
- E4.7 Circle theorems I
- E4.8 Circle theorems II
- E5.1 Units of measure
- E5.2 Area and perimeter
- E5.3 Circles, arcs and sectors
- E5.4 Surface area and volume
- E5.5 Compound shapes and parts of shapes
- E6.1 Pythagoras’ theorem
- E6.2 Right-angled triangles
- E6.3 Exact trigonometric values
- E6.4 Trigonometric functions
- E6.5 Non-right-angled triangles
- E6.6 Pythagoras’ theorem and trigonometry in 3D
- E7.1 Transformations
- E7.2 Vectors in two dimensions
- E7.3 Magnitude of a vector
- E7.4 Vector geometry
- E8.1 Introduction to probability
- E8.2 Relative and expected frequencies
- E8.3 Probability of combined events
- E8.4 Conditional probability
- E9.1 Classifying statistical data
- E9.2 Interpreting statistical data
- E9.3 Averages and measures of spread
- E9.4 Statistical charts and diagrams
- E9.5 Scatter diagrams
- E9.6 Cumulative frequency diagrams
- E9.7 Histograms
Presentation slides · IGCSE Mathematics (9)
Course units and learning goals
These lessons teach selected course objectives. Check the remaining coverage gaps; the material is not a complete preparation programme.
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
- 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
- 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
- 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.
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Course materials
Course preparation
Documents are available. Board-specific notes, assessments and interactive past-paper practice are not yet available for every course.
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