Edexcel IGCSE Mathematics A (4MA1)
Pearson Edexcel International GCSE Mathematics A (4MA1)
NoteCourse Portal: Edexcel IGCSE Mathematics A (4MA1)
Welcome, students! This specialized academic portal provides in-depth resources for the Pearson Edexcel International GCSE Mathematics A (4MA1) curriculum. Here, you will find exhaustive syllabus checklists, revision notes, targeted practice question banks, and official exam information—all mathematically formatted to optimize your learning and help you achieve a Grade 9.
1. Course Introduction
Pearson Edexcel International GCSE Mathematics A (4MA1) is a structured and comprehensive academic curriculum designed to develop mathematical skills, logical thinking, and problem-solving capabilities. The syllabus is divided into two tiers of entry: Foundation Tier (grades 5–1) and Higher Tier (grades 9–4, with grade 3 allowed), offering appropriate routes of assessment for students of different abilities.
Assessment Outline
| Paper Number | Tier | Assessment Information | Marks | Weighting |
|---|---|---|---|---|
| Paper 1F | Foundation | Assessed through a 2-hour examination set and marked by Pearson. The paper is weighted at 50% of the qualification, targeted at grades 5–1. Calculator allowed. | 100 marks | 50% |
| Paper 2F | Foundation | Assessed through a 2-hour examination set and marked by Pearson. The paper is weighted at 50% of the qualification, targeted at grades 5–1. Calculator allowed. | 100 marks | 50% |
| Paper 1H | Higher | Assessed through a 2-hour examination set and marked by Pearson. The paper is weighted at 50% of the qualification, targeted at grades 9–4 with 3 allowed. Calculator allowed. | 100 marks | 50% |
| Paper 2H | Higher | Assessed through a 2-hour examination set and marked by Pearson. The paper is weighted at 50% of the qualification, targeted at grades 9–4 with 3 allowed. Calculator allowed. | 100 marks | 50% |
Assessment Objectives (AOs) Weightings: * AO1 (Number and algebra): 57 - 63% * AO2 (Shape, space and measures): 22 - 28% * AO3 (Handling data): 12 - 18%
Syllabus Structure
The Edexcel IGCSE Mathematics A syllabus content is categorized into 6 major topics, covering core concepts for all students with extended high-level parts for the Higher Tier:
Note1. Numbers and the number system
1.1 Integers
1.2 Fractions
1.3 Decimals
1.4 Powers and roots
1.5 Set language and notation
1.6 Percentages
1.7 Ratio and proportion
1.8 Degree of accuracy
1.9 Standard form
1.10 Applying number
1.11 Electronic calculators
Note2. Equations, formulae and identities
2.1 Use of symbols
2.2 Algebraic manipulation
2.3 Expressions and formulae
2.4 Linear equations
2.5 Proportion (Higher Tier only)
2.6 Simultaneous linear equations
2.7 Quadratic equations
2.8 Inequalities
Note3. Sequences, functions and graphs
3.1 Sequences
3.2 Function notation (Higher Tier only)
3.3 Graphs
3.4 Calculus (Higher Tier only)
Note4. Geometry and trigonometry
4.1 Angles, lines and triangles
4.2 Polygons
4.3 Symmetry
4.4 Measures
4.5 Construction
4.6 Circle properties
4.7 Geometrical reasoning
4.8 Trigonometry and Pythagoras’ theorem
4.9 Mensuration / Mensuration of 2D shapes
4.10 3D shapes and volume
4.11 Similarity
Note5. Vectors and transformation geometry
5.1 Vectors (Higher Tier only)
5.2 Transformation geometry
Note6. Statistics and probability
6.1 Graphical representation of data
6.2 Statistical measures
6.3 Probability
Official Academic Resources
Download official Edexcel IGCSE Mathematics resources and specification guides below:
2. Study Notes
Access our curated study notes and topic-based practice question resources mapped to the Edexcel IGCSE Mathematics A syllabus:
Study Notes
Save My Exams Revision Notes & Practice Resources * A comprehensive guide covering all topics mapped to the Edexcel IGCSE Mathematics syllabus. * Access specialized revision notes and targeted practice questions for each subtopic below:
| Topic | Notes | Questions |
|---|---|---|
| 1 Numbers and Number System | ||
| 1.1 Number Toolkit | Notes | Questions |
| 1.2 Set Notation & Venn Diagrams | Notes | Questions |
| 1.3 Prime Factors, HCF & LCM | Notes | Questions |
| 1.4 Powers, Roots & Standard Form | Notes | Questions |
| 1.5 Fractions | Notes | Questions |
| 1.6 Percentages | Notes | Questions |
| 1.7 Compound Interest & Depreciation | Notes | Questions |
| 1.8 Fractions, Decimals & Percentages | Notes | Questions |
| 1.9 Rounding, Estimation & Bounds | Notes | Questions |
| 1.10 Surds | Notes | Questions |
| 1.11 Using a Calculator | Notes | Questions |
| 1.12 Ratio Toolkit | Notes | Questions |
| 1.13 Ratio Problem Solving | Notes | Questions |
| 1.14 Exchange Rates & Best Buys | Notes | Questions |
| 1.15 Direct & Inverse Proportion | Notes | Questions |
| 2 Equations, Formulae and Identities | ||
| 2.1 Algebra Toolkit | Notes | Questions |
| 2.2 Algebraic Roots & Indices | Notes | Questions |
| 2.3 Expanding Brackets | Notes | Questions |
| 2.4 Factorising | Notes | Questions |
| 2.5 Completing the Square | Notes | Questions |
| 2.6 Algebraic Fractions | Notes | Questions |
| 2.7 Rearranging Formulas | Notes | Questions |
| 2.8 Algebraic Proof | Notes | Questions |
| 2.9 Solving Linear Equations | Notes | Questions |
| 2.10 Solving Quadratic Equations | Notes | Questions |
| 2.11 Solving Inequalities | Notes | Questions |
| 2.12 Simultaneous Equations | Notes | Questions |
| 2.13 Forming & Solving Equations | Notes | Questions |
| 3 Sequences, Function, Graphs | ||
| 3.1 Sequences | Notes | Questions |
| 3.2 Functions | Notes | Questions |
| 3.3 Coordinate geometry | Notes | Questions |
| 3.4 Linear Graphs | Notes | Questions |
| 3.5 Graphs of Functions | Notes | Questions |
| 3.6 Estimating Gradients | Notes | Questions |
| 3.7 Real-Life Graphs | Notes | Questions |
| 3.8 Graphing Inequalities | Notes | Questions |
| 3.9 Transformations of Graphs | Notes | Questions |
| 3.10 Differentiation | Notes | Questions |
| 4 Geometry and Trigonometry | ||
| 4.1 Standard & Compound Units | Notes | Questions |
| 4.2 Angles in Polygons & Parallel Lines | Notes | Questions |
| 4.3 Bearings, Scale Drawing & Constructions | Notes | Questions |
| 4.4 Circle Theorems | Notes | Questions |
| 4.5 Area & Perimeter | Notes | Questions |
| 4.6 Circles, Arcs & Sectors | Notes | Questions |
| 4.7 Volume & Surface Area | Notes | Questions |
| 4.8 Congruence, Similarity & Geometrical Proof | Notes | Questions |
| 4.9 Area & Volume of Similar Shapes | Notes | Questions |
| 4.10 Right-Angled Triangles - Pythagoras & Trigonometry | Notes | Questions |
| 4.11 Sine, Cosine Rule & Area of Triangles | Notes | Questions |
| 4.12 3D Pythagoras & Trigonometry | Notes | Questions |
| 5 Vector and Transformation Geometry | ||
| 5.1 Vectors | Notes | Questions |
| 5.2 Transformations | Notes | Questions |
| 6 Statistics and Probability | ||
| 6.1 Statistics Toolkit | Notes | Questions |
| 6.2 Histograms | Notes | Questions |
| 6.3 Cumulative Frequency Diagrams | Notes | Questions |
| 6.4 Probability Toolkit | Notes | Questions |
| 6.5 Probability Diagrams - Venn & Tree Diagrams | Notes | Questions |
| 6.6 Combined & Conditional Probability | Notes | Questions |
3. Practice questions
3.1 Practice Questions — Set 1
Targeted practice worksheets with step-by-step solutions mapped to various difficulty levels of the syllabus:
| Topic / Concept | Practice Paper | Worksheet & Ans |
|---|---|---|
| 1.1 Addition And Subtraction | Questions | Worksheet |
| 1.2 Multiplication And Division | Questions | Worksheet |
| 1.3 Time | Questions | Worksheet |
| 1.4 Metric Conversions | Questions | — |
| 1.5 Writing Simplifying And Ordering Fractions | Questions | Worksheet |
| 1.6 Place Value | Questions | Worksheet |
| 1.7 Rounding | Questions | Worksheet |
| 1.8 Negative Numbers | Questions | Worksheet |
| 1.9 Powers And Roots | Questions | Worksheet |
| 1.10 The Order Of Operations | Questions | Worksheet |
| 1.11 Factors Multiples And Primes | Questions | Worksheet |
| 1.12 Coordinates | Questions | — |
| 1.13 Pictograms | Questions | — |
| Topic / Concept | Practice Paper | Worksheet & Ans |
|---|---|---|
| 2.1 Calculation Problems | Questions | Worksheet |
| 2.2 Using A Calculator | Questions | Worksheet |
| 2.3 Systematic Listing | Questions | Worksheet |
| 2.4 Fractions Of An Amount | Questions | Worksheet |
| 2.5 Fractions Decimals And Percentages | Questions | Worksheet |
| 2.6 Simplifying Algebra | Questions | Worksheet |
| 2.7 Writing An Expression | Questions | Worksheet |
| 2.8 Function Machines | Questions | Worksheet |
| 2.9 Solving One Step Equations | Questions | Worksheet |
| 2.10 Angles | Questions | Worksheet |
| 2.11 Area And Perimeter | Questions | Worksheet |
| 2.12 Writing Probability And The Probability Scale | Questions | Worksheet |
| 2.13 Frequency Polygons | Questions | — |
| 2.14 Averages | Questions | Worksheet |
| 2.15 Bar Charts | Questions | — |
| 2.16 Stem And Leaf Diagrams | Questions | Worksheet |
| 2.17 Pie Charts | Questions | Worksheet |
| Topic / Concept | Practice Paper | Worksheet & Ans |
|---|---|---|
| 3 Sharing Ratio | Questions | — |
| 3.1 Error Intervals | Questions | Worksheet |
| 3.2 Fractions | Questions | Worksheet |
| 3.3 Estimation | Questions | Worksheet |
| 3.4 Writing And Simplifying Ratio | Questions | Worksheet |
| 3.6 Proportion Ingredients | Questions | — |
| 3.7 Percentages | Questions | Worksheet |
| 3.8 Percentage Change | Questions | Worksheet |
| 3.9 Exchange Rates | Questions | Worksheet |
| 3.10 Conversions And Units | Questions | — |
| 3.11 Scale Drawings | Questions | Worksheet |
| 3.12 Best Buys | Questions | Worksheet |
| 3.13 Substitution | Questions | Worksheet |
| 3.14 Solving Equations | Questions | Worksheet |
| 3.15 Linear Graphs | Questions | — |
| 3.16 Circles Area And Circumference | Questions | Worksheet |
| 3.17.1 Rotations | Questions | Worksheet |
| 3.17.2 Reflections | Questions | Worksheet |
| 3.17.3 Enlargements | Questions | Worksheet |
| 3.17.4 Translations | Questions | Worksheet |
| 3.17.5 Transformations | Questions | Worksheet |
| 3.18 Area Of Compound Shapes | Questions | — |
| 3.19 Frequency Trees | Questions | Worksheet |
| 3.20 Two Way Tables | Questions | Worksheet |
| Topic / Concept | Practice Paper | Worksheet & Ans |
|---|---|---|
| 4.1 Compound Interest | Questions | Worksheet |
| 4.2 Indices | Questions | Worksheet |
| 4.4 Real Life Graphs | Questions | — |
| 4.5 HCF And LCM | Questions | Worksheet |
| 4.5 Inequalities | Questions | Worksheet |
| 4.6 Forming And Solving Equations | Questions | Worksheet |
| 4.7 Sequences | Questions | Worksheet |
| 4.8 Expanding And Factorising | Questions | Worksheet |
| 4.9 Pythagoras | Questions | Worksheet |
| 4.10 Angles In Parallel Lines | Questions | Worksheet |
| 4.11 Angles In Polygons | Questions | Worksheet |
| 4.12 Surface Area | Questions | Worksheet |
| 4.13 Volume Of A Prism | Questions | Worksheet |
| 4.14 Cylinders | Questions | Worksheet |
| 4.15 Loci And Construction | Questions | — |
| 4.16 Bearings | Questions | — |
| 4.17 Plans And Elevations | Questions | Worksheet |
| 4.18 Averages From Frequency Tables | Questions | Worksheet |
| 4.19 Probability And Relative Frequency | Questions | Worksheet |
| 4.20 Scatter Graphs | Questions | — |
| Topic / Concept | Practice Paper | Worksheet & Ans |
|---|---|---|
| 5.1.1 Ratio Fraction Problems | Questions | Worksheet |
| 5.1.2 Ratio Problems2 | Questions | Worksheet |
| 5.2 Direct And Inverse Proportion | Questions | Worksheet |
| 5.3 Reverse Percentages | Questions | Worksheet |
| 5.4 Standard Form | Questions | Worksheet |
| 5.5 Compound Measures | Questions | Worksheet |
| 5.6 Changing The Subject | Questions | Worksheet |
| 5.7 Expanding And Factorising Quadratics | Questions | Worksheet |
| 5.8 Solving Quadratics By Factorising | Questions | Worksheet |
| 5.9 Quadratic Graphs | Questions | — |
| 5.10 Cubic And Reciprocal Graphs | Questions | — |
| 5.11 Simultaneous Equations | Questions | Worksheet |
| 5.12 Solving Simultaneous Equations Graphically | Questions | Worksheet |
| 5.14 Gradient Of A Line | Questions | Worksheet |
| 5.16 Equation Of A Line | Questions | Worksheet |
| 5.16 Spheres And Cones | Questions | Worksheet |
| 5.17 Sector Area And Arc Length | Questions | Worksheet |
| 5.18 Similar Shapes | Questions | Worksheet |
| 5.19 SOHCAHTOA | Questions | Worksheet |
| 5.20 Exact Trig Values | Questions | Worksheet |
| 5.21 Vectors | Questions | — |
| 5.22 Probability Trees | Questions | Worksheet |
| 5.23 Venn Diagrams | Questions | Worksheet |
| Topic / Concept | Practice Paper | Worksheet & Ans |
|---|---|---|
| 6.1 Recurring Decimals | Questions | Worksheet |
| 6.2 Fractional And Negative Indices | Questions | Worksheet |
| 6.3 Product Rule | Questions | Worksheet |
| 6.4 Repeated Percentage Change | Questions | — |
| 6.5 Expanding Triple Brackets | Questions | Worksheet |
| 6.6 Parallel And Perpendicular Lines | Questions | — |
| 6.7 Inequalities Regions | Questions | — |
| 6.8 Similar Shapes2 | Questions | — |
| 6..9 Enlargement Negative Scale Factor | Questions | — |
| 6.10 Circle Theorems | Questions | Worksheet |
| 6..11 Cumulative Frequency | Questions | — |
| 6.12 Box Plots | Questions | Worksheet |
| 6.13 Capturerecapture | Questions | Worksheet |
| Topic / Concept | Practice Paper | Worksheet & Ans |
|---|---|---|
| 7.1 Surds | Questions | Worksheet |
| 7.2 Bounds | Questions | — |
| 7.3 Direct And Inverse Proportion | Questions | — |
| 7.4 Quadratic Formula | Questions | Worksheet |
| 7.5 Factorising Harder Quadratics | Questions | Worksheet |
| 7.6 Algebraic Fractions | Questions | Worksheet |
| 7.7 Rearranging Harder Formula | Questions | Worksheet |
| 7.8 Trig And Exponential Graphs | Questions | — |
| 7.9 Functions | Questions | Worksheet |
| 7.10 Iteration | Questions | — |
| 7.11 Area Of Any Triangle | Questions | Worksheet |
| 7.12 Sine Rule | Questions | — |
| 7.13 Cosine Rule | Questions | — |
| 7.14 Congruent Triangles | Questions | Worksheet |
| 7.15 3d Pythagoras And Trigonometry | Questions | Worksheet |
| 7.16 Histograms | Questions | — |
| 7.17 Conditional Probability | Questions | Worksheet |
| Topic / Concept | Practice Paper | Worksheet & Ans |
|---|---|---|
| 8.1 Quadratic Simultaneous Equations | Questions | Worksheet |
| 8.2 Transforming Graphs | Questions | — |
| 8.3 Proof | Questions | Worksheet |
| 8.4 Completing The Square | Questions | — |
| 8.5 Quadratic Sequences | Questions | Worksheet |
| 8.6 Quadratic Inequalities | Questions | Worksheet |
| 8.7 Velocity Time Graphs | Questions | — |
| 8.8 Proof Of Circle Theorems | Questions | Worksheet |
| 8.9 Perpendicular Lines | Questions | — |
| 8.10 Vectors | Questions | — |
| 8.11 Probability Equation | Questions | Worksheet |
3.2 Practice Questions — Set 2
Comprehensive topical practice question papers (QP) and official mark schemes (MS) for Edexcel IGCSE Mathematics A (4MA1), organized by syllabus domain and tier of entry (Foundation Tier & Higher Tier):
| Topic | Foundation Tier (5–1) | Higher Tier (9–4) |
|---|---|---|
| Approximation and Estimation | QP MS | QP MS |
| BIDMAS | QP MS | — |
| Bounds | QP MS | QP MS |
| Calculating Problems | QP MS | QP MS |
| Decimals | QP MS | — |
| Four Operations | QP MS | QP MS |
| Fractions | QP MS | QP MS |
| Indices | QP MS | QP MS |
| Integers | QP MS | — |
| Ordering Numbers | QP MS | — |
| Percentages | QP MS | QP MS |
| Place Value | QP MS | — |
| Primes, Factors and Multiples | QP MS | QP MS |
| Recurring Decimals into Fractions | — | QP MS |
| Roots and Powers | QP MS | QP MS |
| Rounding | QP MS | QP MS |
| Standard Form | QP MS | QP MS |
| Surds | — | QP MS |
| Using Measures | QP MS | QP MS |
| Using a Calculator | QP MS | — |
| Topic | Foundation Tier (5–1) | Higher Tier (9–4) |
|---|---|---|
| Algebraic Fractions | — | QP MS |
| Algebraic Proof | — | QP MS |
| Circle Equations and Tangents | — | QP MS |
| Completing the square | — | QP MS |
| Conversion Graphs | QP MS | — |
| Coordinates | QP MS | QP MS |
| Cubic and Reciprocal Graphs | — | QP MS |
| Deriving Expressions | QP MS | QP MS |
| Equations of Straight Lines | QP MS | QP MS |
| Expanding Equations | QP MS | QP MS |
| Expanding Triple Brackets | — | QP MS |
| Exponential and Trigonometric Graphs | — | QP MS |
| Factorising Equations | QP MS | QP MS |
| Forming Equations | QP MS | QP MS |
| Functions (Composite or Inverse) | — | QP MS |
| Gradients of Straight lines | QP MS | QP MS |
| Graphs of Circles | QP MS | QP MS |
| Graphs of Linear Equations | QP MS | QP MS |
| Graphs of Quadratic Equations | QP MS | QP MS |
| Inequalities | QP MS | QP MS |
| Inequalities on Graphs | QP MS | QP MS |
| Inputs and Outputs | QP MS | — |
| Interpreting Gradients | — | QP MS |
| Manipulation of Formulae | QP MS | QP MS |
| Parallel or Perpendicular Lines | — | QP MS |
| Quadratic Inequalities | — | QP MS |
| Sequences | QP MS | QP MS |
| Simplifying Expressions | QP MS | QP MS |
| Simultaneous Equations | QP MS | QP MS |
| Simultaneous Equations on Graphs | — | QP MS |
| Solving Linear Equations | QP MS | QP MS |
| Solving Quadratic Equations | QP MS | QP MS |
| Solving using Indices | QP MS | QP MS |
| Substitution into Equations | QP MS | QP MS |
| Translations and Reflections of Functions | — | QP MS |
| Topic | Foundation Tier (5–1) | Higher Tier (9–4) |
|---|---|---|
| Algebraic Direct and Inverse Proportions | — | QP MS |
| Compound Interest | QP MS | QP MS |
| Compound Measures | QP MS | QP MS |
| Compound Units | — | QP MS |
| Conversions | QP MS | — |
| Direct and Inverse Proportion | QP MS | QP MS |
| Percentage Increase or Decrease | QP MS | QP MS |
| Proportion | QP MS | QP MS |
| Ratio | QP MS | QP MS |
| Scale Factors | QP MS | QP MS |
| Speed | QP MS | QP MS |
| Units of Measure | QP MS | QP MS |
| Topic | Foundation Tier (5–1) | Higher Tier (9–4) |
|---|---|---|
| 2D and 3D Shapes | QP MS | QP MS |
| Area | QP MS | QP MS |
| Area of Shaded Region | QP MS | QP MS |
| Area or Perimeter Problem | QP MS | QP MS |
| Bearings | QP MS | QP MS |
| Circle Theorems | QP MS | QP MS |
| Compound Area | QP MS | QP MS |
| Congruence and Similarity | QP MS | QP MS |
| Constructions | QP MS | QP MS |
| Manipulating Vectors | — | QP MS |
| Maps and Scale Drawings | QP MS | QP MS |
| Measuring | QP MS | — |
| Perimeter | QP MS | QP MS |
| Properties of Angles | QP MS | QP MS |
| Properties of Circles | QP MS | QP MS |
| Properties of Polygons | QP MS | QP MS |
| Pythagoras and trig (3D) | — | QP MS |
| Pythagoras’ Theorem | QP MS | QP MS |
| Sectors, Segments and Arcs | — | QP MS |
| Similar (2D or 3D) | QP MS | QP MS |
| Sine Rule, Cosine Rule and Area | QP MS | QP MS |
| Time | QP MS | — |
| Transformations of Shapes | QP MS | QP MS |
| Translations as 2D vectors | QP MS | QP MS |
| Triangles | QP MS | QP MS |
| Trig Ratios and Exact Values | QP MS | QP MS |
| Vector Proof | — | QP MS |
| Vocabulary and Notation | QP MS | QP MS |
| Volume and Surface Area | QP MS | QP MS |
| Topic | Foundation Tier (5–1) | Higher Tier (9–4) |
|---|---|---|
| Combinations | QP MS | — |
| Conditional Probability | QP MS | QP MS |
| Language and Probability Scale | QP MS | — |
| Probability Equations | QP MS | QP MS |
| Probability of Events | QP MS | QP MS |
| Sample Space Diagrams | QP MS | — |
| Tree Diagrams | QP MS | QP MS |
| Two-Way Tables | QP MS | — |
| Venn Diagrams | QP MS | QP MS |
3.3 Practice Questions — Set 3
Topical exam question packs categorized by Target GCSE/IGCSE Grades (Grade 1–2 up to Grade 8–9) to support targeted grade improvement:
| Topic | Question Paper (QP) |
|---|---|
| Addition and Subtraction | Questions |
| Angles | Questions |
| Area | Questions |
| Averages | Questions |
| BIDMAS | Questions |
| Factors and Multiples | Questions |
| Fractions of an Amount | Questions |
| Fractions, Decimals and Percentages | Questions |
| Frequency Polygons | Questions |
| Multiplication and Division | Questions |
| Negative Numbers | Questions |
| Pie Charts | Questions |
| Powers and Roots | Questions |
| Simplifying Algebra | Questions |
| Stem and Leaf | Questions |
| Topic | Question Paper (QP) |
|---|---|
| Area and Circumference of Circles | Questions |
| Area of Compound Shapes | Questions |
| Best Buy Questions | Questions |
| Drawing Graphs | Questions |
| Exchange Rates | Questions |
| Fractions | Questions |
| Percentages | Questions |
| Probability | Questions |
| Proportion | Questions |
| Ratio | Questions |
| Solving Equations with an Unknown on Both Sides | Questions |
| Substitution | Questions |
| Transformations - Enlargements | Questions |
| Transformations - Mixed Transformations | Questions |
| Transformations - Reflections | Questions |
| Transformations - Rotations | Questions |
| Transformations - Translations | Questions |
| Topic | Question Paper (QP) |
|---|---|
| Angle Problems | Questions |
| Angles in Parallel Lines | Questions |
| Angles in Polygons | Questions |
| Averages from Frequency Tables | Questions |
| Bearings | Questions |
| Compound Interest and Depreciation | Questions |
| Cylinders | Questions |
| Expanding and Factorising | Questions |
| Forming and Solving Equations | Questions |
| Functional Maths Questions | Questions |
| HCF and LCM | Questions |
| Indices | Questions |
| Inequalities | Questions |
| Inequalities on Graphs | Questions |
| Loci and Construction | Questions |
| Probability | Questions |
| Pythagoras | Questions |
| Scatter Graphs | Questions |
| Sequences (Nth Term) | Questions |
| Surface Area | Questions |
| Volume of Prisms | Questions |
| Topic | Question Paper (QP) |
|---|---|
| Changing the Subject of a Formula | Questions |
| Congruent Triangles | Questions |
| Drawing Other Graphs (Cubic, Reciprocal) | Questions |
| Drawing Quadratic Graphs | Questions |
| Equation of a Line | Questions |
| Expanding and Factorising Quadratics | Questions |
| Probability Trees | Questions |
| Reverse Percentages | Questions |
| SOHCAHTOA | Questions |
| Sector Areas and Arc Lengths | Questions |
| Similar Shapes (Lengths) | Questions |
| Simultaneous Equations | Questions |
| Solving Quadratics | Questions |
| Solving Simultaneous Equations Graphically | Questions |
| Speed and Density | Questions |
| Spheres and Cones | Questions |
| Standard Form | Questions |
| Venn Diagrams | Questions |
| Topic | Question Paper (QP) |
|---|---|
| 3D Pythagoras | Questions |
| Algebraic Fractions | Questions |
| Bounds | Questions |
| Direct and Inverse Proportion | Questions |
| Harder Graphs (Trig, Exponential) | Questions |
| Histograms | Questions |
| Inverse and Composite Functions | Questions |
| Quadratic Formula | Questions |
| Rearranging Harder Formulae | Questions |
| Sine Rule, Cosine Rule, Area of Any Triangle | Questions |
| Solving Equations using Iteration | Questions |
| Surds | Questions |
| Vectors | Questions |
| Venn Diagrams (given that questions) | Questions |
| Topic | Question Paper (QP) |
|---|---|
| Completing the Square | Questions |
| Perpendicular Lines and the Equation of a Tangent | Questions |
| Proof | Questions |
| Proof of the Circle Theorems | Questions |
| Quadratic Inequalities | Questions |
| Simultaneous Equations with a Quadratic | Questions |
| The Nth Term of a Quadratic Sequence | Questions |
| Transforming Graphs y=f(x) | Questions |
| Velocity Time Graphs | Questions |
3.4 Practice Questions — Set 4
Extensive topical question worksheets, practice papers (QP), and mark schemes (MS) categorized by syllabus domains and assessment tiers (Foundation Tier & Higher Tier):
| Topic | Foundation Tier (5–1) | Higher Tier (9–4) |
|---|---|---|
| Algebra | — | Questions |
| Algebraic Fractions | — | QP MS |
| Algebraic Proof | — | QP MS |
| Algebraic Proofs | Questions | Questions Questions Questions |
| Areas Under Graphs | — | MS |
| Areas under Graphs | — | QP |
| Circle Equations and Tangents | — | QP MS |
| Circles Equations and Tangents | — | QP |
| Completing the square | — | QP MS |
| Complex Graphs and Simultaneous Equations | Questions | — |
| Conversion Graphs | Questions Questions Questions Questions QP MS | Questions Questions |
| Coordinates | QP MS | QP MS |
| Coordinates in 3D | Questions | Questions |
| Cubic and Reciprocal Graphs | QP MS | QP MS |
| Deriving Expressions | Questions Questions Questions Questions QP MS | Questions Questions Questions QP MS |
| Direct and Indirect Proportion | — | Questions |
| Direct and Inverse Proportion and Compound Measures | — | Questions |
| Distance-Time Graphs | Questions Questions | Questions |
| Distance-Time and Travel Graphs | Questions Questions | Questions |
| Distance-time Graphs | QP MS | QP MS |
| Equations and Inequalities | Questions | — |
| Equations of Straight Lines | QP MS | QP MS |
| Expanding Equations | Questions QP MS | Questions QP MS |
| Expanding Expressions | Questions Questions Questions | Questions Questions Questions |
| Expanding Triple Brackets | — | QP MS |
| Exponential Growth and Decay | Questions | Questions Questions |
| Exponential and Trigonometric Graphs | — | QP MS |
| Factorising Equations | Questions QP MS | QP MS |
| Factorising Expressions | Questions Questions | Questions Questions Questions Questions |
| Forming Equations | Questions Questions QP MS | Questions Questions QP MS |
| Functions | — | Questions |
| Functions (Composite or Inverse) | — | QP MS |
| Geometric Progression | — | QP MS |
| Gradients of Straight Lines | Questions | Questions Questions Questions QP |
| Gradients of Straight lines | — | MS |
| Graphs and Coordinate Geometry | — | Questions |
| Graphs of Circles | Questions QP MS | Questions Questions QP MS |
| Graphs of Cubic Equations | — | Questions |
| Graphs of Linear Equations | Questions Questions Questions QP MS | Questions Questions Questions Questions QP MS |
| Graphs of Quadratic Equations | Questions Questions QP MS | Questions Questions Questions Questions QP MS |
| Graphs of Reciprocal Equations | — | Questions |
| Graphs of Trigonometrical Functions | Questions | Questions Questions Questions |
| Inequalities | QP MS | QP MS |
| Inequalities on Graphs | — | QP MS |
| Input-Output | Questions | — |
| Inputs and Outputs | QP MS | — |
| Interpreting Gradients | — | QP MS |
| Iteration | — | QP MS |
| Line Graphs | Questions | — |
| Line Graphs of Real Situations | Questions | Questions Questions |
| Manipulating Expressions | Questions | Questions |
| Manipulation of Formulae | Questions Questions Questions Questions QP MS | Questions Questions Questions Questions QP MS |
| Quadratic Equations and Graphs | Questions | — |
| Quadratic Formula | — | QP MS |
| Quadratic Inequalities | — | QP MS |
| Quadratic Sequences | — | MS |
| Quadratic, Cubic and Other Graphs | — | Questions |
| Quadratics Sequences | — | QP |
| Quadratics and Complex Graphs | — | Questions |
| Quadratics, Inequalities and Simultaneous Equations | — | Questions |
| Real-Life and Algebraic Linear Graphs | Questions | — |
| Sequence of Diagrams | Questions | Questions |
| Sequence of Numbers | Questions | Questions |
| Sequences | Questions Questions Questions QP MS | Questions Questions QP MS |
| Sequences of Diagrams | Questions Questions | — |
| Sequences of Numbers | Questions | — |
| Simplfying Equations | Questions | Questions Questions |
| Simplifying Equations | Questions Questions | Questions Questions |
| Simplifying Expressions | Questions Questions QP MS | Questions Questions QP MS |
| Simultaneous Equations | QP MS | QP MS |
| Simultaneous Equations on Graphs | — | QP MS |
| Solving Algebraic Fraction Equations | — | Questions Questions |
| Solving Algebraic Fractions | — | Questions |
| Solving Inequalities | Questions Questions Questions | Questions Questions Questions |
| Solving Linear Equations | Questions Questions Questions Questions QP MS | Questions Questions Questions |
| Solving Quadratic Equations | Questions Questions | Questions QP MS |
| Solving Simultaneous Equations | Questions | Questions Questions Questions |
| Solving Using Indices | Questions Questions | Questions Questions Questions |
| Solving by Trial and Improvement | Questions Questions | Questions Questions |
| Solving using Indices | QP MS | QP MS |
| Substituting Into Equations | Questions Questions | Questions Questions |
| Substitution | Questions | Questions |
| Substitution Into Equations | Questions | Questions |
| Substitution into Equations | QP MS | QP MS |
| Transformation of Functions | — | Questions |
| Transformation of Graphs | Questions | Questions Questions |
| Translations and Reflections of Functions | — | QP MS |
| Travel Graphs | QP MS | — |
| Trial and Improvement | Questions | Questions |
| Using y=mx+c | Questions | Questions Questions |
| Velocity-time graphs | — | QP MS |
| Topic | Foundation Tier (5–1) | Higher Tier (9–4) |
|---|---|---|
| Algebraic Direct and Inverse Proportions | — | QP MS |
| Compound Interest | QP MS | QP MS |
| Compound Measures | QP MS | QP MS |
| Compound Units | QP MS | QP MS |
| Conversions | Questions Questions QP MS | Questions Questions QP MS |
| Density | Questions Questions | Questions Questions Questions Questions |
| Direct and Inverse Proportion | QP MS | QP MS |
| Exchange Rates | Questions | — |
| Money Calculations | Questions Questions | Questions Questions |
| Percentage Increase or Decrease | QP MS | QP MS |
| Percentages and Interpretation | QP MS | — |
| Percentages, Rates of Change and Compound Measures | Questions | — |
| Proportion | Questions Questions Questions Questions QP MS | Questions Questions Questions Questions QP MS |
| Ratio | Questions Questions Questions Questions QP MS | Questions Questions Questions Questions QP MS |
| Ratio Problems | QP MS | QP MS |
| Ratio and Proportion | Questions | — |
| Scale Factors | QP MS | QP MS |
| Speed | Questions Questions QP MS | Questions Questions Questions Questions QP MS |
| Units of Measure | QP MS | QP MS |
| Topic | Foundation Tier (5–1) | Higher Tier (9–4) |
|---|---|---|
| 2D and 3D Shapes | Questions Questions Questions Questions QP MS | Questions Questions Questions Questions |
| Angles | Questions | — |
| Angles, Polygons and Parallel Lines | Questions | — |
| Area | Questions Questions Questions Questions QP MS | Questions Questions Questions Questions QP MS |
| Area of Shaded Region | QP MS | QP MS |
| Area or Perimeter Problem | QP MS | QP MS |
| Bearings | Questions Questions Questions Questions QP MS | Questions Questions Questions |
| Circle Theorems | Questions | Questions Questions Questions QP MS |
| Circle Theorems and Circle Geometry | — | Questions |
| Circles | Questions Questions Questions Questions | Questions Questions Questions Questions |
| Circles, Cylinders, Cones and Spheres | Questions | — |
| Congruence and Similarity | — | QP MS |
| Congruence, Similarity and Vectors | Questions | — |
| Congruency | Questions Questions | Questions Questions |
| Congruency and Similarity | Questions | Questions |
| Construction | Questions | — |
| Constructions | Questions Questions Questions QP MS | Questions Questions |
| Conversions | Questions Questions | Questions Questions |
| Coordinates | Questions Questions Questions Questions | Questions Questions Questions Questions |
| Dimensions | Questions | Questions Questions |
| Enlargement | Questions Questions Questions Questions | Questions Questions Questions Questions |
| Exterior and Interior Angles | Questions | Questions Questions |
| Geometric Reasoning | Questions Questions | Questions Questions |
| Geometrical Reasoning | Questions Questions | Questions Questions |
| Interior Angles | Questions | — |
| Interior and Exterior angles | Questions | Questions |
| Loci | Questions Questions | Questions Questions Questions |
| Manipulating Vectors | — | QP MS |
| Maps and Scale Drawings | QP MS | — |
| Measuring | QP MS | — |
| Parallel Lines | Questions Questions Questions Questions | Questions Questions Questions Questions |
| Perimeter | Questions Questions Questions Questions QP MS | Questions Questions Questions Questions |
| Perimeter, Area and Volume | Questions | — |
| Perimeter, Area and Volume and Accuracy and Bounds | — | Questions |
| Plans and Elevations | QP MS | QP MS |
| Polygons, Angles and Parallel Lines | — | Questions |
| Properties of Angles | QP MS | QP MS |
| Properties of Circles | QP MS | QP MS |
| Properties of Polygons | QP MS | QP MS |
| Properties of Shapes | Questions Questions Questions Questions | Questions Questions Questions Questions |
| Pythagoras | Questions Questions | Questions Questions Questions |
| Pythagoras and Trigonometry | Questions | — |
| Pythagoras and trig (3D) | — | QP MS |
| Pythagoras’ Theorem | QP MS | QP MS |
| Pythagoras’ Theorem and Trigonometry | — | Questions |
| Reflection | Questions Questions Questions Questions | Questions Questions Questions |
| Rotation | Questions Questions Questions Questions | Questions Questions |
| Sectors, Segments and Arcs | QP MS | QP MS |
| Similar Shapes | — | Questions |
| Similar Triangles | Questions | Questions |
| Similarity and Congrunece in 2D and 3D | — | Questions |
| Sine Rule, Cosine Rule and Area | — | QP MS |
| Sine and Cosine | Questions | Questions Questions Questions |
| Symmetry | Questions Questions Questions | Questions Questions |
| Tessellations | Questions Questions Questions | Questions |
| Time | QP MS | — |
| Transformation of Shapes | QP | QP |
| Transformations | Questions | — |
| Transformations and Constructions | — | Questions |
| Transformations of Shapes | MS | MS |
| Translation | Questions Questions | Questions Questions |
| Translations as 2D vectors | QP MS | — |
| Triangles | QP MS | QP MS |
| Trig Ratios and Exact Values | QP MS | QP MS |
| Trigonometry | — | Questions Questions |
| Trigonometry, 3D Pythagoras and Accuracy and Bounds | — | Questions |
| Vector Proof | — | QP MS |
| Vectors | Questions | Questions Questions Questions |
| Vectors and Geometric Proof | — | Questions |
| Vocabulary and Notation | QP MS | QP MS |
| Volume | Questions Questions Questions Questions | Questions Questions Questions Questions |
| Volume and Surface Area | QP MS | QP MS |
| Topic | Foundation Tier (5–1) | Higher Tier (9–4) |
|---|---|---|
| Combinations | — | QP MS |
| Conditional Probability | — | QP MS |
| Language and Probability Scale | QP MS | — |
| Probability | Questions | Questions |
| Probability Equations | — | QP MS |
| Probability Scales | Questions Questions | Questions |
| Probability Tree Diagrams | Questions | Questions Questions Questions |
| Probability of Events | Questions Questions Questions QP MS | Questions Questions Questions QP MS |
| Sample Space Diagrams | Questions Questions Questions Questions | Questions Questions Questions |
| Tree Diagrams | QP MS | QP MS |
| Two Way Tables | Questions Questions Questions Questions Questions Questions | Questions Questions Questions Questions |
| Two-Way Tables | QP MS | QP MS |
| Use 1-p | Questions | Questions Questions |
| Venn Diagrams | QP MS | QP MS |
4. Topical past paper questions
Topical collection of past exam questions sorted by chapter and paper to help you focus on specific areas of the syllabus:
| Chapter / Topic | Paper 1H Questions | Paper 2H Questions |
|---|---|---|
| Chapter 1: Numbers and Number System | Part 1 Part 2 Part 3 | Part 1 Part 2 Part 3 |
| Chapter 2: Equations, Formulae and Identities | Part 1 Part 2 Part 3 | Part 1 Part 2 Part 3 |
| Chapter 3: Sequences, Functions and Graphs | Part 1 Part 2 | Part 1 Part 2 |
| Chapter 4: Geometry and Trigonometry | Part 1 Part 2 Part 3 | Part 1 Part 2 Part 3 Part 4 |
| Chapter 5: Vectors and Transformation Geometry | Part 1 | Part 1 |
| Chapter 6: Set, Statistics and Probability | Part 1 Part 2 Part 3 | Part 1 Part 2 |
| Chapter 7: Differentiation and Kinematics | Part 1 | Part 1 |
| Chapter / Topic | Paper 1F Questions | Paper 2F Questions |
|---|---|---|
| Chapter 1: Numbers and Number System | Part 1 Part 2 Part 3 Part 4 Part 5 Part 6 | Part 1 Part 2 Part 3 Part 4 Part 5 |
| Chapter 2: Equations, Formulae and Identities | 1F 1FR | Part 1 Part 2 |
| Chapter 3: Sequences, Functions and Graphs | Part 1 | Part 1 |
| Chapter 4: Geometry and Trigonometry | Part 1 Part 2 Part 3 | Part 1 Part 2 Part 3 |
| Chapter 5: Vectors and Transformation Geometry | Part 1 | Part 1 |
| Chapter 6: Set, Statistics and Probability | Part 1 Part 2 | Part 1 Part 2 |
5. Past Papers Bank
Search and filter Edexcel IGCSE Mathematics past papers (including 4MA0, 4MA1, 4MB0, and 4MB1) across different tiers and years:
Edexcel IGCSE Mathematics
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