IGCSE, GCSE & CBSE Study Resources

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Cambridge IGCSE

0580 · Core & ExtendedMathematics10 topics · 137 pages0625Physics7 topics · 59 pages0620Chemistry12 topics · 36 pages0452Accounting18 topics · 54 pages0580 · Past PapersMaths Past Papers by Topic9 topics · 852 questions
0607International MathematicsNotes, questions and solutionsComing soon
0606Additional MathematicsNotes, questions and solutionsComing soon
0610BiologyNotes, questions and solutionsComing soon
0625 · Past PapersPhysics Past PapersWorked solutions, paper by paperComing soon
0620 · Past PapersChemistry Past PapersWorked solutions, paper by paperComing soon
0610 · Past PapersBiology Past PapersWorked solutions, paper by paperComing soon
0654Co-ordinated SciencesDouble award: Biology, Chemistry and PhysicsComing soon
0653Combined ScienceSingle award: Biology, Chemistry and PhysicsComing soon
0455EconomicsNotes, questions and solutionsComing soon
0450Business StudiesNotes, questions and solutionsComing soon

Edexcel International GCSE

4XMA1 · HigherMaths A · Unit 119 topics · 108 pages4XMA1 · HigherMaths A · Unit 223 topics · 97 pages4MA1 · Past PapersMaths A Past Papers by Topic6 topics · 477 questions
4XMA1 · FoundationMaths A · Unit 1 FoundationModular course, Foundation tierComing soon
4XMA1 · FoundationMaths A · Unit 2 FoundationModular course, Foundation tierComing soon
4MA1 · LinearMaths A · Papers 1H & 2HLinear course, mapped paper by paperComing soon
4MB1Mathematics BNotes, questions and solutionsComing soon
4PM1Further Pure MathematicsNotes, questions and solutionsComing soon
4PH1PhysicsNotes, questions and solutionsComing soon
4CH1ChemistryNotes, questions and solutionsComing soon
4BI1BiologyNotes, questions and solutionsComing soon
4SD0Science (Double Award)Biology, Chemistry and PhysicsComing soon
4AC1AccountingNotes, questions and solutionsComing soon
4EC1EconomicsNotes, questions and solutionsComing soon
4BS1BusinessNotes, questions and solutionsComing soon

Edexcel GCSE (UK)

1MA1 · Grades 1–5Maths Foundation22 topics · 146 pages1MA1 · Grades 4–9Maths Higher21 topics · 169 pages
1MA1 · Past PapersMaths Past PapersWorked solutions, paper by paperComing soon
1SC0Combined ScienceBiology, Chemistry and PhysicsComing soon
1BI0BiologyNotes, questions and solutionsComing soon
1CH0ChemistryNotes, questions and solutionsComing soon
1PH0PhysicsNotes, questions and solutionsComing soon
1ST0StatisticsNotes, questions and solutionsComing soon
1BS0BusinessNotes, questions and solutionsComing soon

Cambridge O Level

4024MathematicsSyllabus-mapped notes and practiceComing soon
4037Additional MathematicsNotes, questions and solutionsComing soon
5054PhysicsNotes, questions and solutionsComing soon
5070ChemistryNotes, questions and solutionsComing soon
5090BiologyNotes, questions and solutionsComing soon
5129Combined ScienceNotes, questions and solutionsComing soon
7707AccountingNotes, questions and solutionsComing soon
2281EconomicsNotes, questions and solutionsComing soon
7115Business StudiesNotes, questions and solutionsComing soon

Cambridge International AS & A Level

9709MathematicsPure, Mechanics and Probability & StatisticsComing soon
9231Further MathematicsNotes, questions and solutionsComing soon
9702PhysicsNotes, questions and solutionsComing soon
9701ChemistryNotes, questions and solutionsComing soon
9700BiologyNotes, questions and solutionsComing soon
9708EconomicsNotes, questions and solutionsComing soon
9706AccountingNotes, questions and solutionsComing soon
9609BusinessNotes, questions and solutionsComing soon

Edexcel International A Level (IAL)

P1–P4Pure MathematicsUnits P1, P2, P3 and P4Coming soon
M1–M3MechanicsMechanics unitsComing soon
S1–S3StatisticsStatistics unitsComing soon
D1Decision MathematicsDecision maths unitComing soon
YFM01Further MathematicsNotes, questions and solutionsComing soon
Units 1–6PhysicsNotes, questions and solutionsComing soon
Units 1–6ChemistryNotes, questions and solutionsComing soon
Units 1–6BiologyNotes, questions and solutionsComing soon
Units 1–4EconomicsNotes, questions and solutionsComing soon
Units 1–2AccountingNotes, questions and solutionsComing soon
Units 1–4BusinessNotes, questions and solutionsComing soon

AQA GCSE (UK)

8300MathematicsFoundation and HigherComing soon
8464Combined Science: TrilogyBiology, Chemistry and PhysicsComing soon
8461BiologyNotes, questions and solutionsComing soon
8462ChemistryNotes, questions and solutionsComing soon
8463PhysicsNotes, questions and solutionsComing soon
8365Further Mathematics (Level 2)Notes, questions and solutionsComing soon

Edexcel A Level (UK)

9MA0MathematicsPure, Statistics and MechanicsComing soon
9FM0Further MathematicsNotes, questions and solutionsComing soon
9PH0PhysicsNotes, questions and solutionsComing soon
9CH0ChemistryNotes, questions and solutionsComing soon
9EC0Economics ANotes, questions and solutionsComing soon

IB Diploma Programme (DP)

SL & HLMaths: Analysis & ApproachesNotes, questions and solutionsComing soon
SL & HLMaths: Applications & InterpretationNotes, questions and solutionsComing soon
SL & HLPhysicsNotes, questions and solutionsComing soon
SL & HLChemistryNotes, questions and solutionsComing soon
SL & HLBiologyNotes, questions and solutionsComing soon
SL & HLEconomicsNotes, questions and solutionsComing soon
SL & HLBusiness ManagementNotes, questions and solutionsComing soon
DP CoreInternal Assessment (IA) GuideChoosing a topic, structure and marking criteriaComing soon
DP CoreExtended Essay & TOKPlanning, research and writingComing soon

IB Middle Years Programme (MYP)

Years 1–5MathematicsStandard and ExtendedComing soon
Years 1–5SciencesBiology, Chemistry and PhysicsComing soon

Cambridge Lower Secondary (Checkpoint)

Stages 7–9MathematicsLower Secondary maths and Checkpoint practiceComing soon
Stages 7–9ScienceBiology, Chemistry and Physics foundationsComing soon

Study Tools

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CBSE (India)

CBSE XClass 10 Maths8 topics · 47 pages
Class 10ScienceNotes, questions and solutionsComing soon
Class 12MathematicsNotes, questions and solutionsComing soon
Class 12PhysicsNotes, questions and solutionsComing soon
Class 12ChemistryNotes, questions and solutionsComing soon
Class 12BiologyNotes, questions and solutionsComing soon
Class 11–12CommerceAccountancy, Economics and Business StudiesComing soon

ICSE & ISC (India)

ICSE Class 10MathematicsNotes, questions and solutionsComing soon
ICSE Class 10SciencePhysics, Chemistry and BiologyComing soon
ISC Class 12MathematicsNotes, questions and solutionsComing soon
ISC Class 12SciencesPhysics, Chemistry and BiologyComing soon

Telangana State Board (India)

SSC Class 10MathematicsNotes, questions and solutionsComing soon
SSC Class 10SciencePhysical and Biological SciencesComing soon
IntermediateMPCMaths, Physics and ChemistryComing soon
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IGCSE Mathematics (0580)

Cambridge IGCSE Mathematics (0580), Core and Extended: topic notes with practice questions and worked solutions, plus fully worked 2025 specimen papers.

Start here: the IGCSE Mathematics (0580) complete study notes give the whole syllabus on one page. Topics marked Extended are only examined on the Extended papers.
1Number9 notes

Number Basics

Types of numbers, HCF/LCM, prime factorisation, ordering numbers and basic operations.

NotesQuestionsSolutions

Indices and Surds

Laws of indices, zero/negative/fractional powers, and simplifying surds (Extended).

NotesQuestionsSolutions

Standard Form

Writing and calculating with very large and very small numbers.

NotesQuestionsSolutions

Fractions, Decimals and Percentages

Converting between forms, and recurring decimals (Extended).

NotesQuestionsSolutions

Ratio, Proportion and Rates

Simplifying ratios, unitary method, speed/density and other real-world rates.

NotesQuestionsSolutions

Percentages

Percentage change, simple and compound interest, and reverse percentages (Extended).

NotesQuestionsSolutions

Estimation and Limits of Accuracy

Rounding, significant figures, and upper/lower bounds (Extended).

NotesQuestionsSolutions

Time and Money

24-hour clock, timetables, time zones, and currency conversion.

NotesQuestionsSolutions

Using a Calculator

Efficient, accurate calculator use — brackets, powers, memory, and checking answers.

NotesQuestionsSolutions
2Algebra and Graphs14 notes

Introduction to Algebra

Substitution, simplifying, expanding brackets, and basic factorising.

NotesQuestionsSolutions

Advanced Factorising & Completing the SquareExtended

Difference of squares, quadratic trinomials, cubics, and completing the square.

NotesQuestionsSolutions

Algebraic FractionsExtended

Simplifying, multiplying, dividing, adding and subtracting algebraic fractions.

NotesQuestionsSolutions

Indices II

Applying the index laws to algebraic terms, and solving index equations.

NotesInteractive DeckQuestionsSolutions

Equations I

Linear equations, simultaneous equations, and changing the subject of a formula.

NotesQuestionsSolutions

Equations II (Quadratic & Fractional)Extended

Solving quadratics three ways, fractional equations, and non-linear simultaneous equations.

NotesQuestionsSolutions

Inequalities

Number lines, solving linear inequalities, and graphing regions (Extended).

NotesQuestionsSolutions

Sequences

Linear, quadratic and cubic nth terms, plus exponential sequences (Extended).

NotesQuestionsSolutions

ProportionExtended

Direct and inverse proportion, including square, cube and root relationships.

NotesQuestionsSolutions

Graphs in Practical Situations

Conversion graphs, distance-time graphs, and speed-time graphs (Extended).

NotesQuestionsSolutions

Graphs of Functions

Plotting quadratics, cubics, reciprocals and exponentials from a table of values.

NotesQuestionsSolutions

Sketching Curves

Recognising key features of a graph without plotting every point.

NotesQuestionsSolutions

DifferentiationExtended

The power rule, gradients, stationary points, and maxima/minima.

NotesQuestionsSolutions

FunctionsExtended

Function notation, domain and range, inverse and composite functions.

NotesQuestionsSolutions
3Coordinate Geometry1 note

Coordinate Geometry

Gradient, length, midpoint, equations of lines, and parallel/perpendicular lines.

NotesQuestionsSolutions
4Geometry5 notes

Geometrical Terms and Vocabulary

Angles, triangles, quadrilaterals, polygons, solids, and circle vocabulary.

NotesQuestionsSolutions

Constructions and Scale Drawings

Compass constructions, nets, scale drawings, and three-figure bearings.

NotesQuestionsSolutions

Similarity and Symmetry

Scale factors for length, area and volume, and symmetry of 2D/3D shapes.

NotesQuestionsSolutions

Angle Properties

Angles at a point, on a line, in parallel lines, and in polygons.

NotesQuestionsSolutions

Circle Theorems

All nine circle theorems, from the basic semicircle rule to the alternate segment theorem.

NotesQuestionsSolutions
5Mensuration2 notes

Units, Area, Perimeter and Circles

Unit conversions, area/perimeter formulas, and arc length/sector area.

NotesQuestionsSolutions

Surface Area, Volume and Compound Shapes

Cuboids, prisms, cylinders, cones, spheres, pyramids, and frustums (Extended).

NotesQuestionsSolutions
6Trigonometry3 notes

Pythagoras and Right-Angled Triangle Trigonometry

Pythagoras’ theorem, SOHCAHTOA, and angles of elevation/depression (Extended).

NotesQuestionsSolutions

Exact Trig Values and Trigonometric GraphsExtended

Exact values for special angles, sin/cos/tan graphs, and solving trig equations.

NotesQuestionsSolutions

Non-Right-Angled Triangles and 3D TrigonometryExtended

Sine rule, cosine rule, the ambiguous case, and 3D Pythagoras/trigonometry.

NotesQuestionsSolutions
7Transformations and Vectors2 notes

Transformations

Reflection, rotation, translation, and enlargement (including combined transformations).

NotesQuestionsSolutions

Vectors

Vector notation, magnitude, arithmetic, position vectors, and vector geometry proofs (Extended).

NotesQuestionsSolutions
8Probability2 notes

Basic Probability and Frequency

The probability scale, theoretical probability, relative and expected frequency.

NotesQuestionsSolutions

Probability of Combined Events

Sample space diagrams, Venn diagrams, tree diagrams, and conditional probability (Extended).

NotesQuestionsSolutions
9Statistics3 notes

Classifying Data, Averages and Range

Data types, mean/median/mode/range, and choosing the right average.

NotesQuestionsSolutions

Statistical Charts and Scatter Diagrams

Bar charts, pie charts, pictograms, stem-and-leaf diagrams, and scatter diagrams.

NotesQuestionsSolutions

Cumulative Frequency Diagrams and HistogramsExtended

Estimating median/quartiles from an ogive, and histograms with frequency density.

NotesQuestionsSolutions
📄Past Papers: Worked Solutions13 papers

0580/01 Specimen Paper 2025 (Paper 1 Core)

Worked solutions

0580/03 Specimen Paper 2025 (Paper 3 Core Calculator)

Worked solutions

0580/02 Specimen Paper 2025 (Paper 2 Extended Non-calculator)

Worked solutions

0580/04 Specimen Paper 2025 (Paper 4 Extended Calculator)

Worked solutions

0580/12 February/March 2024 (Paper 1 Core)

Worked solutions

0580/32 February/March 2024 (Paper 3 Core)

Worked solutions

0580/22 February/March 2024 (Paper 2 Extended)

Worked solutions

0580/42 February/March 2024 (Paper 4 Extended)

Worked solutions

0580/11 May/June 2024 (Paper 1 Core)

Worked solutions

0580/21 May/June 2024 (Paper 2 Extended)

Worked solutions

0580/12 May/June 2024 (Paper 1 Core)

Worked solutions

0580/22 May/June 2024 (Paper 2 Extended)

Worked solutions

0580/13 May/June 2024 (Paper 1 Core)

Worked solutions

IGCSE Mathematics (0580) Past Papers by Topic

852 real Cambridge IGCSE Maths (0580) past paper questions from 32 papers (May/June 2025 to May/June 2026), sorted by syllabus topic. Every question has a step-by-step worked solution.

Start here: the 0580 past paper questions by topic page lists every topic in one place. Looking for whole papers instead? Open IGCSE Mathematics (0580) for paper-by-paper worked solutions.
1Number293 questions

All Number questions

Every Number subtopic on one page, with links to each question set.

Topic page

Types of Number

41 past paper questions with step-by-step solutions.

Questions & solutions

Sets and Venn Diagrams

16 past paper questions with step-by-step solutions.

Questions & solutions

Powers and Roots

12 past paper questions with step-by-step solutions.

Questions & solutions

Fractions, Decimals and Percentages

28 past paper questions with step-by-step solutions.

Questions & solutions

Ordering Numbers

6 past paper questions with step-by-step solutions.

Questions & solutions

The Four Operations

27 past paper questions with step-by-step solutions.

Questions & solutions

Indices

25 past paper questions with step-by-step solutions.

Questions & solutions

Standard Form

15 past paper questions with step-by-step solutions.

Questions & solutions

Estimation and Rounding

14 past paper questions with step-by-step solutions.

Questions & solutions

Limits of Accuracy

12 past paper questions with step-by-step solutions.

Questions & solutions

Ratio and Proportion

14 past paper questions with step-by-step solutions.

Questions & solutions

Rates and Speed

8 past paper questions with step-by-step solutions.

Questions & solutions

Percentages

26 past paper questions with step-by-step solutions.

Questions & solutions

Using a Calculator

8 past paper questions with step-by-step solutions.

Questions & solutions

Time

9 past paper questions with step-by-step solutions.

Questions & solutions

Money and Exchange Rates

15 past paper questions with step-by-step solutions.

Questions & solutions

Exponential Growth and Decay

8 past paper questions with step-by-step solutions.

Questions & solutions

Surds

9 past paper questions with step-by-step solutions.

Questions & solutions
2Algebra and Graphs187 questions

All Algebra and Graphs questions

Every Algebra and Graphs subtopic on one page, with links to each question set.

Topic page

Introduction to Algebra

13 past paper questions with step-by-step solutions.

Questions & solutions

Algebraic Manipulation

30 past paper questions with step-by-step solutions.

Questions & solutions

Algebraic Fractions

12 past paper questions with step-by-step solutions.

Questions & solutions

Equations and Formulae

52 past paper questions with step-by-step solutions.

Questions & solutions

Inequalities

15 past paper questions with step-by-step solutions.

Questions & solutions

Sequences

20 past paper questions with step-by-step solutions.

Questions & solutions

Direct and Inverse Proportion

5 past paper questions with step-by-step solutions.

Questions & solutions

Graphs in Practical Situations

9 past paper questions with step-by-step solutions.

Questions & solutions

Graphs of Functions

15 past paper questions with step-by-step solutions.

Questions & solutions

Differentiation

8 past paper questions with step-by-step solutions.

Questions & solutions

Functions

8 past paper questions with step-by-step solutions.

Questions & solutions
3Coordinate Geometry22 questions

All Coordinate Geometry questions

Every Coordinate Geometry subtopic on one page, with links to each question set.

Topic page

Drawing Linear Graphs

4 past paper questions with step-by-step solutions.

Questions & solutions

Gradient of Linear Graphs

2 past paper questions with step-by-step solutions.

Questions & solutions

Length and Midpoint

2 past paper questions with step-by-step solutions.

Questions & solutions

Equations of Linear Graphs

5 past paper questions with step-by-step solutions.

Questions & solutions

Parallel Lines

3 past paper questions with step-by-step solutions.

Questions & solutions

Perpendicular Lines

6 past paper questions with step-by-step solutions.

Questions & solutions
4Geometry120 questions

All Geometry questions

Every Geometry subtopic on one page, with links to each question set.

Topic page

Geometrical Terms and Nets

23 past paper questions with step-by-step solutions.

Questions & solutions

Geometrical Constructions

6 past paper questions with step-by-step solutions.

Questions & solutions

Scale Drawings and Bearings

14 past paper questions with step-by-step solutions.

Questions & solutions

Similarity

14 past paper questions with step-by-step solutions.

Questions & solutions

Symmetry

11 past paper questions with step-by-step solutions.

Questions & solutions

Angles

34 past paper questions with step-by-step solutions.

Questions & solutions

Circle Theorems

18 past paper questions with step-by-step solutions.

Questions & solutions
5Mensuration66 questions

All Mensuration questions

Every Mensuration subtopic on one page, with links to each question set.

Topic page

Units of Measure

5 past paper questions with step-by-step solutions.

Questions & solutions

Area and Perimeter

13 past paper questions with step-by-step solutions.

Questions & solutions

Circles, Arcs and Sectors

16 past paper questions with step-by-step solutions.

Questions & solutions

Surface Area and Volume

27 past paper questions with step-by-step solutions.

Questions & solutions

Compound Shapes and Parts of Shapes

5 past paper questions with step-by-step solutions.

Questions & solutions
6Trigonometry47 questions

All Trigonometry questions

Every Trigonometry subtopic on one page, with links to each question set.

Topic page

Pythagoras’ Theorem

9 past paper questions with step-by-step solutions.

Questions & solutions

Right-Angled Trigonometry

10 past paper questions with step-by-step solutions.

Questions & solutions

Exact Trigonometric Values

7 past paper questions with step-by-step solutions.

Questions & solutions

Trigonometric Functions

5 past paper questions with step-by-step solutions.

Questions & solutions

Non-Right-Angled Triangles

10 past paper questions with step-by-step solutions.

Questions & solutions

Pythagoras and Trigonometry in 3D

6 past paper questions with step-by-step solutions.

Questions & solutions
7Transformations and Vectors36 questions

All Transformations and Vectors questions

Every Transformations and Vectors subtopic on one page, with links to each question set.

Topic page

Transformations

19 past paper questions with step-by-step solutions.

Questions & solutions

Vectors in Two Dimensions

8 past paper questions with step-by-step solutions.

Questions & solutions

Vector Geometry

9 past paper questions with step-by-step solutions.

Questions & solutions
8Probability24 questions

All Probability questions

Every Probability subtopic on one page, with links to each question set.

Topic page

Introduction to Probability

8 past paper questions with step-by-step solutions.

Questions & solutions

Relative and Expected Frequencies

5 past paper questions with step-by-step solutions.

Questions & solutions

Probability of Combined Events

11 past paper questions with step-by-step solutions.

Questions & solutions
9Statistics57 questions

All Statistics questions

Every Statistics subtopic on one page, with links to each question set.

Topic page

Averages and Range

23 past paper questions with step-by-step solutions.

Questions & solutions

Statistical Charts and Diagrams

18 past paper questions with step-by-step solutions.

Questions & solutions

Scatter Diagrams

7 past paper questions with step-by-step solutions.

Questions & solutions

Cumulative Frequency

2 past paper questions with step-by-step solutions.

Questions & solutions

Histograms

7 past paper questions with step-by-step solutions.

Questions & solutions

Edexcel International GCSE Maths A (Modular, 4XMA1) — Unit 1 Higher

Pearson Edexcel International GCSE Mathematics A (Modular) — Unit 1, Higher tier. The 17 topics below follow the Unit 1 scheme of work. Each card links to notes, practice questions and worked solutions that cover that topic, and the line under the title says which part of the topic it covers. Higher tier assumes Foundation content is already known.
Paper 4WM1H/012 hours100 marksCalculator allowedShow full working
1Decimals3 resources
Exam focusRecurring decimal → fraction is a 2–3 mark question: show the algebra (e.g. 100x − x), not just the answer.

Fractions, Decimals and Percentages

Converting recurring decimals into fractions.

NotesQuestionsSolutions

Estimation and Limits of Accuracy

Rounding to significant figures and decimal places; estimating calculations.

NotesQuestionsSolutions

Using a Calculator

Using a scientific calculator efficiently and checking answers.

NotesQuestionsSolutions
2Fractions and Percentages3 resources
Exam focusShow fraction working even though calculators are allowed. A bare answer can score 0 marks.

Fractions, Decimals and Percentages

Ordering fractions; the four operations with fractions and mixed numbers; converting between forms.

NotesQuestionsSolutions

Percentages

One number as a percentage of another; percentage of a quantity.

NotesQuestionsSolutions

Number Basics

Foundation refresher: HCF/LCM and ordering numbers.

NotesQuestionsSolutions
3Ratio and Proportion 13 resources
Exam focusWrite down the multiplier you use for conversions, and sense-check the size of your answer.

Ratio, Proportion and Rates

Worded number problems using ratio and proportion.

NotesQuestionsSolutions

Time and Money

Calculations with time and money; converting between currencies.

NotesQuestionsSolutions

Units, Area, Perimeter and Circles

Converting standard units of mass, length, area, volume and capacity.

NotesQuestionsSolutions
4Surds and Indices2 resources
Exam focusRationalising denominators and fractional/negative indices appear in almost every series.

Indices and Surds

Meaning of surds, simplifying, rationalising a denominator; index laws with numbers.

NotesQuestionsSolutions

Indices II

Multiply, divide, brackets, negative, fractional and zero powers.

NotesInteractive DeckQuestionsSolutions
5Degree of Accuracy1 resource
Exam focusBounds: the maximum of a ÷ b uses upper ÷ lower. Write the bounds down before you calculate.

Estimation and Limits of Accuracy

Upper and lower bounds, and solving problems using bounds.

NotesQuestionsSolutions
6Set Language, Notation and Venn Diagrams2 resources
Exam focusFill Venn diagrams from the inside out and check that the regions add up to n(ξ).

Sets, Notation and Venn DiagramsNEW

Set notation (∪, ∩, ∈, ∉, ξ, ∅, A′), subsets, n(A), two- and three-set Venn diagrams, Venn diagrams with algebra.

NotesQuestionsSolutions

Probability of Combined Events

Representing sets and finding probabilities from Venn diagrams.

NotesQuestionsSolutions
7Algebraic Manipulation5 resources
Exam focusAlgebraic fractions: factorise everything first. Expanding triple brackets is a regular 3-mark question.

Introduction to Algebra

Substitution, collecting like terms, expanding brackets, taking out common factors.

NotesQuestionsSolutions

Indices II

Index notation and index laws applied to algebraic terms.

NotesQuestionsSolutions

Expanding Triple BracketsNEW

Expanding three brackets, cubing a bracket, and finding unknown coefficients.

NotesQuestionsSolutions

Advanced Factorising & Completing the Square

Factorising quadratics and other expressions.

NotesQuestionsSolutions

Algebraic Fractions

Algebraic fractions with numeric, linear or quadratic numerators and denominators.

NotesQuestionsSolutions
8Linear Equations1 resource
Exam focusWith fractions, multiply every term by the common denominator before doing anything else.

Equations I

Linear equations, with fractions, unknowns on both sides, and forming equations from data.

NotesQuestionsSolutions
9Linear Graphs3 resources
Exam focusPerpendicular gradients multiply to −1. Give the equation in the form the question asks for.

Coordinate Geometry

Midpoints, gradient from two points, y = mx + c, parallel and perpendicular lines.

NotesQuestionsSolutions

Graphs in Practical Situations

Straight-line conversion graphs and interpreting real-life graphs.

NotesQuestionsSolutions

Graphs of Functions

Generating points and plotting linear and quadratic graphs.

NotesQuestionsSolutions
10Quadratic Equations, Inequalities and Graphs5 resources
Exam focusQuadratic formula answers usually need 3 s.f. or surd form. Read which. Plot curves smoothly through every point.

Advanced Factorising & Completing the Square

Solving quadratics by factorisation and by completing the square.

NotesQuestionsSolutions

Equations II (Quadratic & Fractional)

The quadratic formula, and forming quadratics from a context.

NotesQuestionsSolutions

Inequalities

Solving inequalities and showing them on a number line.

NotesQuestionsSolutions

Graphs of Functions

Quadratic, cubic and reciprocal graphs (y = Ax³ + Bx² + Cx + D + E/x + F/x²).

NotesQuestionsSolutions

Exact Trig Values and Trigonometric Graphs

Graphs of y = sin x, cos x and tan x for any angle.

NotesQuestionsSolutions
11Compound Measures3 resources
Exam focusConvert units first (km/h ↔ m/s, cm³ ↔ m³). Pressure = force ÷ area.

Ratio, Proportion and Rates

Speed and density as compound measures.

NotesQuestionsSolutions

Pressure (from IGCSE Physics 1.8)

Pressure = force ÷ area, with numerical practice.

NotesQuestionsSolutions

Units, Area, Perimeter and Circles

Metric conversions for length, area and volume.

NotesQuestionsSolutions
12Geometry of Shapes 13 resources
Exam focusGive a geometric reason for every angle, written as a full sentence.

Geometrical Terms and Vocabulary

Types of triangles and quadrilaterals and their properties.

NotesQuestionsSolutions

Angle Properties

Intersecting and parallel lines, triangles, quadrilaterals, polygon angles, giving reasons.

NotesQuestionsSolutions

Circle Theorems

Calculating angles in circles, with reasons.

NotesQuestionsSolutions
13Perimeter, Area and Volume 12 resources
Exam focusArc length = (θ/360) × 2πr, sector area = (θ/360) × πr². Keep π until the final step.

Units, Area, Perimeter and Circles

Triangles, rectangles, parallelograms, trapezia, circles, sectors and compound shapes.

NotesQuestionsSolutions

Surface Area, Volume and Compound Shapes

3D solids: faces, edges and vertices.

NotesQuestionsSolutions
14Pythagoras’ Theorem and Trigonometry3 resources
Exam focusBearings are measured clockwise from north and written with three figures.

Pythagoras and Right-Angled Triangle Trigonometry

Pythagoras in 2D, SOHCAHTOA, angles of elevation and depression.

NotesQuestionsSolutions

Exact Trig Values and Trigonometric Graphs

Sine, cosine and tangent of obtuse angles.

NotesQuestionsSolutions

Constructions and Scale Drawings

Bearings and scale drawings.

NotesQuestionsSolutions
15Advanced Trigonometry1 resource
Exam focusSine rule for opposite side–angle pairs; cosine rule for three sides, or two sides and the included angle.

Non-Right-Angled Triangles and 3D Trigonometry

Sine rule, cosine rule, ½ab sin C, Pythagoras and trigonometry in 3D (angle between a line and a plane).

NotesQuestionsSolutions
16Graphical Representation of Data 13 resources
Exam focusHistograms: frequency = frequency density × class width.

Cumulative Frequency Diagrams and Histograms

Constructing and interpreting histograms using frequency density.

NotesQuestionsSolutions

Two-Way TablesNEW

Designing and completing two-way tables for discrete and grouped data; probabilities from tables.

NotesQuestionsSolutions

Statistical Charts and Scatter Diagrams

Presenting data in charts and tables.

NotesQuestionsSolutions
17Probability4 resources
Exam focusTree diagrams: multiply along branches, add between outcomes. Watch for “without replacement”.

Basic Probability and Frequency

Probability language and scale, theoretical probability, complements, estimated probability, expected frequency.

NotesQuestionsSolutions

Probability of Combined Events

Sample spaces, listing outcomes, Venn diagrams, the addition rule and tree diagrams.

NotesQuestionsSolutions

Sets, Notation and Venn DiagramsNEW

Probabilities from Venn diagrams, including “given that”.

NotesQuestionsSolutions

Two-Way TablesNEW

Probabilities from two-way tables.

NotesQuestionsSolutions
18Past Paper Worked Solutions2 resources
Exam focusSit the paper timed first (2 hours, calculator allowed), then mark it against the worked solutions.

4WM1H/01 Specimen Paper (Unit 1 Higher)

Every question of the Pearson specimen paper, worked step by step.

Worked solutions

4WM1H/01 May 2025 (Unit 1 Higher)NEW

The May 2025 Unit 1 paper, worked step by step.

Worked solutions
19Official Pearson Documents3 resources
Exam focusUse the sample assessment papers as full timed mocks: 2 hours, calculator allowed, no notes.

Specification: International GCSE Mathematics A (Modular)

The full list of what can be examined in each unit.

Specification (PDF)

Sample Assessment Materials

Official sample papers and mark schemes for both units.

Sample papers (PDF)

Higher Tier Course Planner

Pearson’s teaching order and hours for Units 1 and 2.

Course planner (PDF)

Edexcel International GCSE Maths A (Modular, 4XMA1) — Unit 2 Higher

Pearson Edexcel International GCSE Mathematics A (Modular): Unit 2, Higher tier. The 22 topics below follow the Unit 2 scheme of work. Unit 2 assumes everything in Unit 1, so revise both. Each card links to notes, practice questions and worked solutions, with a line saying which part of the topic it covers, and each topic has an exam tip.
Paper 4WM2H/012 hours100 marks50% of the IGCSECalculator allowed
1Special Numbers1 resource
Exam focusUse prime factorisation for HCF and LCM. A Venn diagram of prime factors is the fastest method.

Number Basics

Primes, factors, multiples, HCF and LCM, prime factorisation.

NotesQuestionsSolutions
2Percentages1 resource
Exam focusRepeated change: use one multiplier, e.g. 1.03ⁿ. Reverse percentages: divide by the multiplier.

Percentages

Repeated percentage change, compound interest, reverse percentages.

NotesQuestionsSolutions
3Ratio and Proportion 22 resources
Exam focusWrite the relationship (e.g. y = kx²), find k, then use the formula.

Proportion

Direct and inverse proportion, including y ∝ x², y ∝ 1/x², y ∝ x³, and their graphs.

NotesQuestionsSolutions

Ratio, Proportion and Rates

Ratio and rates refresher.

NotesQuestionsSolutions
4Indices and Standard Form3 resources
Exam focusStandard form answers must be a × 10ⁿ with 1 ≤ a < 10.

Standard Form

Calculating and solving problems with standard form.

NotesQuestionsSolutions

Indices II

Fractional, negative and zero powers.

NotesInteractive DeckQuestionsSolutions

Indices and Surds

Index laws and surds refresher.

NotesQuestionsSolutions
5Proof1 resource
Exam focusUse 2n and 2n + 1. Finish with a sentence that says why your expression proves the statement.

Algebraic ProofNEW

Proofs about integers, identities, completing-the-square proofs, and counterexamples.

NotesQuestionsSolutions
6Expressions, Formulae and Rearranging Formulae2 resources
Exam focusIf the subject appears twice, collect those terms on one side and factorise.

Equations I

Changing the subject, including when it appears twice or as a power (Section 6).

NotesQuestionsSolutions

Introduction to Algebra

Substituting into expressions and formulae.

NotesQuestionsSolutions
7Inequalities2 resources
Exam focusQuadratic inequalities: sketch the parabola to decide whether the answer is between or outside the roots.

Quadratic InequalitiesNEW

Solving quadratic inequalities, number lines, set notation and integer solutions.

NotesQuestionsSolutions

Inequalities

Linear inequalities and number lines.

NotesQuestionsSolutions
8Sequences2 resources
Exam focusFind n before you use Sₙ = n/2(a + l). A wrong n is the most common error.

Arithmetic Sequences and SeriesNEW

nth term of arithmetic sequences, sum of n terms (Sₙ), finding n from a sum.

NotesQuestionsSolutions

Sequences

nth terms of linear and quadratic sequences.

NotesQuestionsSolutions
9Graphs of Inequalities1 resource
Exam focusUse dashed lines for < and >, solid lines for ≤ and ≥. Shade (or leave unshaded) exactly as the question says.

Inequalities

Graphing inequalities in two variables and identifying regions (Sections 4–5).

NotesQuestionsSolutions
10Harder Graphs and Transformations of Graphs3 resources
Exam focusf(x + a) moves left; f(ax) squashes horizontally by a factor of 1/a.

Transformations of GraphsNEW

f(x) + a, f(x + a), af(x), f(ax) and reflections; tangents to curves; solving equations with graphs.

NotesQuestionsSolutions

Graphs of Functions

Plotting cubic, reciprocal and other curves.

NotesQuestionsSolutions

Sketching Curves

Sketching curves from their key features.

NotesQuestionsSolutions
11Simultaneous Equations2 resources
Exam focusLinear and quadratic: substitute the linear equation into the quadratic, then pair each x with its y.

Equations I

Linear simultaneous equations by substitution and elimination.

NotesQuestionsSolutions

Equations II (Quadratic & Fractional)

One linear and one quadratic equation.

NotesQuestionsSolutions
12Function Notation1 resource
Exam focusfg(x) means apply g first. For an inverse, swap x and y, then rearrange.

Functions

f(x) notation, domain and range, composite and inverse functions.

NotesQuestionsSolutions
13Calculus2 resources
Exam focus“At rest” means v = 0. Always substitute back to find the maximum or minimum value itself.

Differentiation

Power rule, gradients, stationary points, maxima and minima.

NotesQuestionsSolutions

Calculus: Kinematics and Practical ProblemsNEW

Displacement, velocity and acceleration; optimisation problems; maximum or minimum?

NotesQuestionsSolutions
14Geometry of Shapes 22 resources
Exam focusExterior angles of a polygon add up to 360°. Interior angle = 180° − exterior angle.

Angle Properties

Angles in polygons and parallel lines, with reasons.

NotesQuestionsSolutions

Geometrical Terms and Vocabulary

Properties of polygons and quadrilaterals.

NotesQuestionsSolutions
15Constructions and Bearings1 resource
Exam focusLeave your construction arcs visible. Bearings are three figures, measured clockwise from north.

Constructions and Scale Drawings

Ruler-and-compass constructions, loci, scale drawings and bearings.

NotesQuestionsSolutions
16Perimeter, Area and Volume 21 resource
Exam focusCheck which formulae are given on the formulae sheet. Keep π until the end.

Surface Area, Volume and Compound Shapes

Surface area and volume of prisms, cylinders, cones, spheres and pyramids.

NotesQuestionsSolutions
17Transformations1 resource
Exam focus“Describe fully” means name the transformation and give every detail: centre, angle, direction, vector or scale factor.

Transformations

Reflections, rotations, translations, enlargements and combined transformations.

NotesQuestionsSolutions
18Circle Properties2 resources
Exam focusLearn the exact wording of each reason. For external chords, PA × PB uses the whole length PB.

Circle Theorems

All the circle angle theorems.

NotesQuestionsSolutions

Intersecting Chords and SecantsNEW

Internal and external intersecting chords, and tangent–secant.

NotesQuestionsSolutions
19Similar Shapes1 resource
Exam focusArea scale factor = k², volume scale factor = k³.

Similarity and Symmetry

Similar figures: lengths, areas and volumes.

NotesQuestionsSolutions
20Vectors1 resource
Exam focusWrite routes through known vectors. Parallel vectors are multiples of each other.

Vectors

Vector notation, magnitude, resultants and vector geometry proofs.

NotesQuestionsSolutions
21Graphical Representation of Data 21 resource
Exam focusPlot cumulative frequency at the upper class boundary.

Cumulative Frequency Diagrams and Histograms

Constructing and using cumulative frequency diagrams.

NotesQuestionsSolutions
22Statistical Measures2 resources
Exam focusIQR = UQ − LQ, read at n/4 and 3n/4 on the cumulative frequency axis.

Cumulative Frequency Diagrams and Histograms

Median, quartiles and interquartile range from cumulative frequency.

NotesQuestionsSolutions

Classifying Data, Averages and Range

Averages and range from tables.

NotesQuestionsSolutions
23Official Pearson Documents3 resources
Exam focusUse the sample assessment papers as full timed mocks: 2 hours, calculator allowed, no notes.

Specification: International GCSE Mathematics A (Modular)

The full list of what can be examined in each unit.

Specification (PDF)

Sample Assessment Materials

Official sample papers and mark schemes for both units.

Sample papers (PDF)

Higher Tier Course Planner

Pearson’s teaching order and hours for Units 1 and 2.

Course planner (PDF)

Edexcel International GCSE Maths A (4MA1) Past Papers by Topic

477 real Edexcel International GCSE Maths A (4MA1) Higher past paper questions from 20 papers (Paper 1H and 1HR, January 2020 to June 2025), sorted by specification topic. Every question has a step-by-step worked solution checked against the official mark scheme.

Start here: the 4MA1 past paper questions by topic page lists every topic in one place. Studying the modular course? The same topics are in Unit 1 and Unit 2, with notes and practice questions.
Higher tierPaper 1H & 1HRJan 2020 – Jun 2025Mark-scheme checked
1Numbers and the Number System117 questions

All Numbers and the Number System questions

Every Numbers and the Number System subtopic on one page, with links to each question set.

Topic page

Integers, Factors, Multiples and Primes

12 past paper questions with step-by-step solutions.

Questions & solutions

Fractions

7 past paper questions with step-by-step solutions.

Questions & solutions

Decimals and Recurring Decimals

5 past paper questions with step-by-step solutions.

Questions & solutions

Powers, Roots and Surds

19 past paper questions with step-by-step solutions.

Questions & solutions

Sets and Venn Diagrams

11 past paper questions with step-by-step solutions.

Questions & solutions

Percentages

25 past paper questions with step-by-step solutions.

Questions & solutions

Ratio and Proportion

11 past paper questions with step-by-step solutions.

Questions & solutions

Bounds and Degree of Accuracy

14 past paper questions with step-by-step solutions.

Questions & solutions

Standard Form

13 past paper questions with step-by-step solutions.

Questions & solutions
2Equations, Formulae and Identities84 questions

All Equations, Formulae and Identities questions

Every Equations, Formulae and Identities subtopic on one page, with links to each question set.

Topic page

Algebraic Notation and Indices

5 past paper questions with step-by-step solutions.

Questions & solutions

Expanding, Factorising and Algebraic Fractions

26 past paper questions with step-by-step solutions.

Questions & solutions

Formulae and Changing the Subject

3 past paper questions with step-by-step solutions.

Questions & solutions

Linear Equations

10 past paper questions with step-by-step solutions.

Questions & solutions

Direct and Inverse Proportion

7 past paper questions with step-by-step solutions.

Questions & solutions

Simultaneous Equations

14 past paper questions with step-by-step solutions.

Questions & solutions

Quadratic Equations

8 past paper questions with step-by-step solutions.

Questions & solutions

Inequalities

11 past paper questions with step-by-step solutions.

Questions & solutions
3Sequences, Functions and Graphs78 questions

All Sequences, Functions and Graphs questions

Every Sequences, Functions and Graphs subtopic on one page, with links to each question set.

Topic page

Sequences and Arithmetic Series

17 past paper questions with step-by-step solutions.

Questions & solutions

Functions: Composite and Inverse

11 past paper questions with step-by-step solutions.

Questions & solutions

Graphs and Coordinate Geometry

34 past paper questions with step-by-step solutions.

Questions & solutions

Differentiation (Calculus)

16 past paper questions with step-by-step solutions.

Questions & solutions
4Geometry and Trigonometry110 questions

All Geometry and Trigonometry questions

Every Geometry and Trigonometry subtopic on one page, with links to each question set.

Topic page

Polygons

9 past paper questions with step-by-step solutions.

Questions & solutions

Measures, Speed and Density

14 past paper questions with step-by-step solutions.

Questions & solutions

Constructions, Loci and Bearings

3 past paper questions with step-by-step solutions.

Questions & solutions

Circle Theorems

9 past paper questions with step-by-step solutions.

Questions & solutions

Geometrical Reasoning and Proof

3 past paper questions with step-by-step solutions.

Questions & solutions

Pythagoras and Trigonometry

34 past paper questions with step-by-step solutions.

Questions & solutions

Area, Perimeter, Arcs and Sectors

20 past paper questions with step-by-step solutions.

Questions & solutions

Surface Area and Volume

10 past paper questions with step-by-step solutions.

Questions & solutions

Similar Shapes

8 past paper questions with step-by-step solutions.

Questions & solutions
5Vectors and Transformation Geometry14 questions

All Vectors and Transformation Geometry questions

Every Vectors and Transformation Geometry subtopic on one page, with links to each question set.

Topic page

Vectors

11 past paper questions with step-by-step solutions.

Questions & solutions

Transformations

3 past paper questions with step-by-step solutions.

Questions & solutions
6Statistics and Probability74 questions

All Statistics and Probability questions

Every Statistics and Probability subtopic on one page, with links to each question set.

Topic page

Statistical Diagrams: Histograms and Cumulative Frequency

22 past paper questions with step-by-step solutions.

Questions & solutions

Averages, Range and Quartiles

22 past paper questions with step-by-step solutions.

Questions & solutions

Probability

30 past paper questions with step-by-step solutions.

Questions & solutions

Edexcel GCSE Maths 1MA1 — Foundation

Pearson Edexcel GCSE (9–1) Mathematics 1MA1: Foundation tier. Units follow Pearson’s Foundation scheme of work, in teaching order. Each card shows the grade band it covers, so students can work at their level and push up. The grade ladders at the end test every strand from grade 1 to 9.
Grades 1–53 papers × 1h 30m80 marks eachPaper 1: non-calculatorMost formulae NOT given
Exams are in May/June each year. November entry is only for students aged 16 or over on the preceding 31 August. Only the cone and sphere formulae are given.
1Number: Integers, Decimals, Powers, Roots and Primes5 resources
Exam focusPaper 1 is non-calculator. Practise written methods until they are quick and accurate.
Grades 1–5

Non-Calculator MethodsNEW

Place value, long multiplication and division, decimals, fractions and percentages without a calculator, estimating.

NotesQuestionsSolutions
Grades 1–3

Number Basics

Integers, negatives, order of operations, primes, HCF/LCM, squares and roots.

NotesQuestionsSolutions
Grades 2–4

Estimation and Limits of Accuracy

Rounding to decimal places and significant figures; estimating; error intervals.

NotesQuestionsSolutions
Grades 2–5

Systematic Listing and the Product RuleNEW

Listing combinations systematically; the product rule (Higher).

NotesQuestionsSolutions
Grades 1–3

Using a Calculator

Using a calculator efficiently.

NotesQuestionsSolutions
2Algebra: Expressions, Substitution, Expanding and Factorising2 resources
Exam focusShow every step when you simplify. Most algebra marks are method marks.
Grades 1–4

Introduction to Algebra

Notation, substituting, collecting like terms, expanding and factorising.

NotesQuestionsSolutions
Grades 3–5

Indices II

Index laws with algebra.

NotesInteractive DeckQuestionsSolutions
3Graphs, Tables and Charts3 resources
Exam focusLabel axes and give pie-chart angles to the nearest degree. Describe correlation in context.
Grades 1–4

Statistical Charts and Scatter Diagrams

Bar charts, pie charts, pictograms, stem-and-leaf and scatter graphs.

NotesQuestionsSolutions
Grades 2–5

Sampling, Frequency Polygons and Time SeriesNEW

Frequency polygons and time-series graphs.

NotesQuestionsSolutions
Grades 2–4

Two-Way Tables

Designing and completing two-way tables.

NotesQuestionsSolutions
4Fractions, Decimals and Percentages2 resources
Exam focusConvert to a common form before comparing. Non-calculator percentages: build from 10%, 5% and 1%.
Grades 1–4

Fractions, Decimals and Percentages

Converting, ordering and calculating with fractions.

NotesQuestionsSolutions
Grades 2–5

Percentages

Percentages of amounts, percentage change, simple interest.

NotesQuestionsSolutions
5Equations, Inequalities and Sequences3 resources
Exam focusCheck your solution by substituting it back into the equation.
Grades 2–5

Equations I

Linear equations, including unknowns on both sides and forming equations.

NotesQuestionsSolutions
Grades 3–5

Inequalities

Linear inequalities and number lines.

NotesQuestionsSolutions
Grades 2–5

Sequences

Term-to-term rules and the nth term of linear sequences.

NotesQuestionsSolutions
6Angles, Polygons and Parallel Lines2 resources
Exam focusWrite a geometric reason for every angle you find.
Grades 1–5

Angle Properties

Angles on lines, in triangles, parallel lines and polygons.

NotesQuestionsSolutions
Grades 1–3

Geometrical Terms and Vocabulary

Properties of triangles, quadrilaterals and polygons.

NotesQuestionsSolutions
7Statistics, Sampling and Averages2 resources
Exam focusChoose the right average, and say why if the question asks.
Grades 1–4

Classifying Data, Averages and Range

Mean, median, mode, range, including from frequency tables.

NotesQuestionsSolutions
Grades 2–4

Sampling, Frequency Polygons and Time SeriesNEW

Populations, samples and bias.

NotesQuestionsSolutions
8Perimeter, Area and Volume 13 resources
Exam focusFormulae for area and volume are NOT given on Foundation papers (except cone and sphere). Learn them.
Grades 1–5

Units, Area, Perimeter and Circles

Perimeter and area of 2D shapes, circles and compound shapes; unit conversions.

NotesQuestionsSolutions
Grades 3–5

Surface Area, Volume and Compound Shapes

Volume and surface area of cuboids and prisms.

NotesQuestionsSolutions
Grades 2–5

3D Solids, Plans and ElevationsNEW

Faces, edges, vertices; plans and elevations.

NotesQuestionsSolutions
9Real-Life and Algebraic Linear Graphs2 resources
Exam focusGradient = change in y ÷ change in x. Read real-life graphs carefully and include units.
Grades 2–5

Graphs in Practical Situations

Conversion, distance–time and real-life graphs.

NotesQuestionsSolutions
Grades 3–5

Coordinate Geometry

Gradient, y = mx + c, midpoints.

NotesQuestionsSolutions
10Transformations1 resource
Exam focus“Describe fully” means name the transformation and give every detail it needs.
Grades 2–5

Transformations

Reflection, rotation, translation and enlargement.

NotesQuestionsSolutions
11Ratio and Proportion3 resources
Exam focusUse the unitary method: find one part first.
Grades 2–5

Ratio, Proportion and Rates

Simplifying and sharing ratios, best buys, recipes.

NotesQuestionsSolutions
Grades 4–5

Proportion

Direct and inverse proportion.

NotesQuestionsSolutions
Grades 1–3

Time and Money

Time and money calculations, currency conversion.

NotesQuestionsSolutions
12Right-Angled Triangles: Pythagoras and Trigonometry2 resources
Exam focusDecide first whether it is a Pythagoras question (two sides) or a trig question (an angle).
Grades 4–5

Pythagoras and Right-Angled Triangle Trigonometry

Pythagoras’ theorem and SOHCAHTOA.

NotesQuestionsSolutions
Grade 5

Exact Trig Values and Trigonometric Graphs

Exact values of sin, cos and tan for 0°, 30°, 45°, 60° and 90°.

NotesQuestionsSolutions
13Probability4 resources
Exam focusProbabilities are numbers between 0 and 1: never write them as ratios.
Grades 1–4

Basic Probability and Frequency

Probability scale, theoretical and experimental probability, expected frequency.

NotesQuestionsSolutions
Grades 2–5

Frequency Trees and Mutually Exclusive EventsNEW

Frequency trees, mutually exclusive events, probabilities summing to 1.

NotesQuestionsSolutions
Grades 3–5

Probability of Combined Events

Sample spaces, Venn diagrams and tree diagrams.

NotesQuestionsSolutions
Grades 3–5

Sets, Notation and Venn Diagrams

Venn diagrams and set notation.

NotesQuestionsSolutions
14Multiplicative Reasoning: Percentages, Rates and Compound Measures3 resources
Exam focusCompound interest: use a multiplier, e.g. × 1.04ⁿ.
Grades 3–5

Percentages

Repeated percentage change, compound interest, reverse percentages.

NotesQuestionsSolutions
Grades 3–5

Ratio, Proportion and Rates

Speed, density and other compound measures.

NotesQuestionsSolutions
Grade 5

Pressure (from IGCSE Physics 1.8)

Pressure = force ÷ area.

NotesQuestionsSolutions
15Constructions: Plans and Elevations, Loci, Scale Drawings and Bearings3 resources
Exam focusLeave construction arcs visible. Bearings are three figures, clockwise from north.
Grades 2–5

3D Solids, Plans and ElevationsNEW

Plans and elevations of 3D shapes.

NotesQuestionsSolutions
Grades 3–5

Constructions and LociNEW

Ruler-and-compass constructions and loci.

NotesQuestionsSolutions
Grades 2–5

Constructions and Scale Drawings

Constructing triangles, scale drawings and bearings.

NotesQuestionsSolutions
16Quadratic Equations and Graphs3 resources
Exam focusFactorise to solve x² + bx + c = 0, and read roots from where the graph crosses the x-axis.
Grades 4–5

Advanced Factorising & Completing the Square

Expanding double brackets and factorising quadratics.

NotesQuestionsSolutions
Grade 5

Equations II (Quadratic & Fractional)

Solving quadratics by factorising.

NotesQuestionsSolutions
Grades 4–5

Graphs of Functions

Plotting quadratic graphs; roots and turning points.

NotesQuestionsSolutions
17Perimeter, Area and Volume 2: Circles, Cylinders, Cones and Spheres2 resources
Exam focusKeep π in your working and round only at the end.
Grades 3–5

Units, Area, Perimeter and Circles

Circumference, area of circles, arcs and sectors.

NotesQuestionsSolutions
Grades 4–5

Surface Area, Volume and Compound Shapes

Cylinders, cones and spheres.

NotesQuestionsSolutions
18Fractions, Reciprocals, Standard Form and Indices3 resources
Exam focusStandard form: a × 10ⁿ with 1 ≤ a < 10.
Grades 4–5

Standard Form

Writing and calculating in standard form.

NotesQuestionsSolutions
Grades 4–5

Indices and Surds

Zero and negative indices.

NotesQuestionsSolutions
Grades 3–5

Fractions, Decimals and Percentages

Fraction arithmetic and reciprocals.

NotesQuestionsSolutions
19Congruence, Similarity and Vectors3 resources
Exam focusSimilar shapes: find the scale factor first. Congruent shapes: name the condition.
Grades 4–5

Congruent Triangles and Geometric ProofNEW

SSS, SAS, ASA, RHS.

NotesQuestionsSolutions
Grades 4–5

Similarity and Symmetry

Similar shapes and scale factors.

NotesQuestionsSolutions
Grades 4–5

Vectors

Column vectors: adding, subtracting, multiplying by a number.

NotesQuestionsSolutions
20Rearranging, Cubic and Reciprocal Graphs, Simultaneous Equations3 resources
Exam focusFor simultaneous equations, find one unknown, then substitute back to find the other.
Grades 4–5

Equations I

Changing the subject; linear simultaneous equations.

NotesQuestionsSolutions
Grades 4–5

Graphs of Functions

Cubic and reciprocal graphs.

NotesQuestionsSolutions
Grades 4–5

Sketching Curves

Recognising graph shapes.

NotesQuestionsSolutions
21Grade Ladder Practice (all strands)5 resources
Exam focusWork up each ladder until the questions get hard: that’s your current grade. Revise those topics, then try again.
Grades 1–9

Grade Ladder: NumberNEW

18 questions from grade 1 to 9, two per grade, each tagged with its grade, spec code and calculator rule.

QuestionsSolutions
Grades 1–9

Grade Ladder: AlgebraNEW

18 questions from grade 1 to 9, two per grade, each tagged with its grade, spec code and calculator rule.

QuestionsSolutions
Grades 1–9

Grade Ladder: Ratio, Proportion and RatesNEW

18 questions from grade 1 to 9, two per grade, each tagged with its grade, spec code and calculator rule.

QuestionsSolutions
Grades 1–9

Grade Ladder: Geometry and MeasuresNEW

18 questions from grade 1 to 9, two per grade, each tagged with its grade, spec code and calculator rule.

QuestionsSolutions
Grades 1–9

Grade Ladder: Probability and StatisticsNEW

18 questions from grade 1 to 9, two per grade, each tagged with its grade, spec code and calculator rule.

QuestionsSolutions
22Official Pearson Documents2 resources
Exam focusPast papers and mark schemes are on Pearson’s qualification page, under Course materials → Exam materials.

Specification: GCSE (9–1) Mathematics 1MA1

Full content list with Foundation and Higher statements.

Specification (PDF)

Pearson GCSE Mathematics qualification page

Past papers, mark schemes, examiner reports and schemes of work.

Open Pearson page

Edexcel GCSE Maths 1MA1 — Higher

Pearson Edexcel GCSE (9–1) Mathematics 1MA1: Higher tier. Units follow Pearson’s Higher scheme of work, in teaching order. Each card shows the grade band it covers, so students can work at their level and push up. The grade ladders at the end test every strand from grade 1 to 9.
Grades 4–9 (3 allowed)3 papers × 1h 30m80 marks eachPaper 1: non-calculatorMost formulae NOT given
Exams are in May/June each year. November entry is only for students aged 16 or over on the preceding 31 August. Only the cone and sphere formulae are given.
1Number and Calculation6 resources
Exam focusSurds and fractional indices appear on almost every Higher paper. Show exact working.
Grades 4–5

Non-Calculator MethodsNEW

Written methods for the non-calculator paper.

NotesQuestionsSolutions
Grades 5–8

Indices and Surds

Index laws, fractional and negative indices, surds.

NotesQuestionsSolutions
Grades 4–6

Standard Form

Standard form calculations.

NotesQuestionsSolutions
Grades 4–7

Estimation and Limits of Accuracy

Rounding, estimation, error intervals and bounds.

NotesQuestionsSolutions
Grades 5–7

Systematic Listing and the Product RuleNEW

The product rule for counting.

NotesQuestionsSolutions
Grades 6–7

Fractions, Decimals and Percentages

Recurring decimals to fractions.

NotesQuestionsSolutions
2Algebra and Sequences3 resources
Exam focusQuadratic nth term: halve the second difference to get the n² coefficient.
Grades 4–5

Introduction to Algebra

Notation, substitution, expanding and factorising.

NotesQuestionsSolutions
Grades 4–6

Equations I

Solving and forming equations; changing the subject.

NotesQuestionsSolutions
Grades 4–7

Sequences

Linear, quadratic and geometric sequences.

NotesQuestionsSolutions
3Averages and Data4 resources
Exam focusCompare an average and a spread, both in context.
Grades 4–5

Classifying Data, Averages and Range

Averages from tables and grouped data.

NotesQuestionsSolutions
Grades 4–5

Statistical Charts and Scatter Diagrams

Charts and scatter graphs.

NotesQuestionsSolutions
Grades 4–5

Sampling, Frequency Polygons and Time SeriesNEW

Sampling, frequency polygons and time series.

NotesQuestionsSolutions
Grades 4–5

Two-Way Tables

Two-way tables.

NotesQuestionsSolutions
4Fractions, Ratio and Proportion3 resources
Exam focusReverse percentages: divide by the multiplier, never subtract the percentage.
Grades 4–5

Fractions, Decimals and Percentages

Fraction arithmetic.

NotesQuestionsSolutions
Grades 4–6

Percentages

Reverse percentages and compound change.

NotesQuestionsSolutions
Grades 4–6

Ratio, Proportion and Rates

Ratio problems and compound measures.

NotesQuestionsSolutions
5Angles and Trigonometry3 resources
Exam focusBearings and trig are often combined: draw a clear diagram first.
Grades 4–5

Angle Properties

Angles in polygons and parallel lines, with reasons.

NotesQuestionsSolutions
Grades 4–6

Pythagoras and Right-Angled Triangle Trigonometry

Pythagoras and SOHCAHTOA in 2D.

NotesQuestionsSolutions
Grades 5–6

Exact Trig Values and Trigonometric Graphs

Exact trig values.

NotesQuestionsSolutions
6Graphs4 resources
Exam focusPerpendicular gradients multiply to −1.
Grades 4–7

Coordinate Geometry

Straight lines, parallel and perpendicular lines.

NotesQuestionsSolutions
Grades 4–6

Graphs in Practical Situations

Real-life graphs.

NotesQuestionsSolutions
Grades 5–7

Graphs of Functions

Quadratic, cubic, reciprocal and exponential graphs.

NotesQuestionsSolutions
Grades 5–7

Sketching Curves

Sketching curves.

NotesQuestionsSolutions
7Measures: Area, Volume and Bounds3 resources
Exam focusBounds: think about which bound makes the answer biggest or smallest.
Grades 4–6

Units, Area, Perimeter and Circles

Areas, arcs and sectors.

NotesQuestionsSolutions
Grades 5–7

Surface Area, Volume and Compound Shapes

Cones, spheres, pyramids and composite solids.

NotesQuestionsSolutions
Grades 6–8

Estimation and Limits of Accuracy

Upper and lower bounds.

NotesQuestionsSolutions
8Transformations and Constructions4 resources
Exam focusNegative scale factors put the image on the other side of the centre, upside down.
Grades 4–7

Transformations

Transformations, including negative scale factors and combinations.

NotesQuestionsSolutions
Grades 4–6

Constructions and LociNEW

Constructions and loci.

NotesQuestionsSolutions
Grades 4–5

3D Solids, Plans and ElevationsNEW

Plans and elevations.

NotesQuestionsSolutions
Grades 4–5

Constructions and Scale Drawings

Scale drawings and bearings.

NotesQuestionsSolutions
9Equations and Inequalities4 resources
Exam focusQuadratic inequalities: sketch the graph before you decide on the region.
Grades 5–8

Equations II (Quadratic & Fractional)

The quadratic formula; linear and quadratic simultaneous equations.

NotesQuestionsSolutions
Grades 6–7

Advanced Factorising & Completing the Square

Completing the square.

NotesQuestionsSolutions
Grades 4–7

Inequalities

Linear inequalities and regions.

NotesQuestionsSolutions
Grades 7–8

Quadratic Inequalities

Quadratic inequalities.

NotesQuestionsSolutions
10Probability4 resources
Exam focusWithout replacement: both the numerator and the denominator go down by 1.
Grades 5–8

Probability of Combined Events

Tree diagrams, independent and dependent events, conditional probability.

NotesQuestionsSolutions
Grades 4–7

Frequency Trees and Mutually Exclusive EventsNEW

Frequency trees and conditional probability.

NotesQuestionsSolutions
Grades 5–8

Sets, Notation and Venn Diagrams

Venn diagrams and set notation.

NotesQuestionsSolutions
Grades 4–5

Basic Probability and Frequency

Relative and expected frequency.

NotesQuestionsSolutions
11Multiplicative Reasoning3 resources
Exam focusGrowth and decay: multiplier to the power of n.
Grades 5–7

Percentages

Growth, decay and compound interest.

NotesQuestionsSolutions
Grades 5–6

Ratio, Proportion and Rates

Compound measures.

NotesQuestionsSolutions
Grades 5–6

Pressure (from IGCSE Physics 1.8)

Pressure = force ÷ area.

NotesQuestionsSolutions
12Similarity and Congruence in 2D and 3D2 resources
Exam focusArea scale factor k², volume scale factor k³.
Grades 5–8

Congruent Triangles and Geometric ProofNEW

Congruence conditions and proofs.

NotesQuestionsSolutions
Grades 6–8

Similarity and Symmetry

Similar areas and volumes.

NotesQuestionsSolutions
13Further Trigonometry3 resources
Exam focusSine rule for opposite pairs; cosine rule for three sides, or two sides and the included angle.
Grades 7–8

Non-Right-Angled Triangles and 3D Trigonometry

Sine rule, cosine rule, ½ab sin C and 3D trigonometry.

NotesQuestionsSolutions
Grades 6–8

Exact Trig Values and Trigonometric Graphs

Trig graphs.

NotesQuestionsSolutions
Grades 7–8

Transformations of Graphs

Transforming trig graphs.

NotesQuestionsSolutions
14Statistics: Cumulative Frequency, Box Plots and Histograms2 resources
Exam focusHistograms: frequency = frequency density × class width.
Grades 6–8

Cumulative Frequency Diagrams and Histograms

Cumulative frequency, histograms with unequal widths.

NotesQuestionsSolutions
Grades 5–7

Box Plots and Comparing DistributionsNEW

Box plots and comparing distributions.

NotesQuestionsSolutions
15Quadratics and Graphs4 resources
Exam focusTurning points come from completing the square: (x + p)² + q gives the minimum point (−p, q).
Grades 6–8

Advanced Factorising & Completing the Square

Completing the square and turning points.

NotesQuestionsSolutions
Grades 7–9

Equation of a Circle and TangentsNEW

Equation of a circle and tangents.

NotesQuestionsSolutions
Grades 7–9

Iteration and Numerical MethodsNEW

Iteration and numerical methods.

NotesQuestionsSolutions
Grades 6–7

Graphs of Functions

Cubic and reciprocal graphs.

NotesQuestionsSolutions
16Circle Geometry1 resource
Exam focusLearn the exact reason wording for every circle theorem.
Grades 7–9

Circle Theorems

All circle theorems, with reasons.

NotesQuestionsSolutions
17Advanced Algebra5 resources
Exam focusAlgebraic fractions: factorise everything first, then cancel.
Grades 7–9

Algebraic Fractions

Simplifying and solving with algebraic fractions.

NotesQuestionsSolutions
Grades 7–9

Algebraic Proof

Algebraic proof.

NotesQuestionsSolutions
Grades 6–7

Expanding Triple Brackets

Expanding triple brackets.

NotesQuestionsSolutions
Grades 7–8

Equations I

Changing the subject when it appears twice.

NotesQuestionsSolutions
Grades 7–8

Indices and Surds

Rationalising denominators.

NotesQuestionsSolutions
18Vectors and Geometric Proof2 resources
Exam focusWrite vector routes in terms of the given vectors. Parallel vectors are multiples of each other.
Grades 7–9

Vectors

Vector geometry and proof.

NotesQuestionsSolutions
Grades 7–8

Congruent Triangles and Geometric ProofNEW

Geometric proof using congruence.

NotesQuestionsSolutions
19Functions, Graphs and Proportion5 resources
Exam focusf(x + a) moves the graph left; fg(x) means apply g first.
Grades 7–9

Functions

Composite and inverse functions.

NotesQuestionsSolutions
Grades 7–9

Transformations of Graphs

Translations and reflections of graphs.

NotesQuestionsSolutions
Grades 6–9

Rates of Change: Gradients and Areas Under GraphsNEW

Gradients and areas under graphs; rates of change.

NotesQuestionsSolutions
Grades 6–8

Proportion

Proportion equations and graphs.

NotesQuestionsSolutions
Grades 6–7

Sketching Curves

Exponential graphs.

NotesQuestionsSolutions
20Grade Ladder Practice (all strands)5 resources
Exam focusWork up each ladder until the questions get hard: that’s your current grade. Revise those topics, then try again.
Grades 1–9

Grade Ladder: NumberNEW

18 questions from grade 1 to 9, two per grade, each tagged with its grade, spec code and calculator rule.

QuestionsSolutions
Grades 1–9

Grade Ladder: AlgebraNEW

18 questions from grade 1 to 9, two per grade, each tagged with its grade, spec code and calculator rule.

QuestionsSolutions
Grades 1–9

Grade Ladder: Ratio, Proportion and RatesNEW

18 questions from grade 1 to 9, two per grade, each tagged with its grade, spec code and calculator rule.

QuestionsSolutions
Grades 1–9

Grade Ladder: Geometry and MeasuresNEW

18 questions from grade 1 to 9, two per grade, each tagged with its grade, spec code and calculator rule.

QuestionsSolutions
Grades 1–9

Grade Ladder: Probability and StatisticsNEW

18 questions from grade 1 to 9, two per grade, each tagged with its grade, spec code and calculator rule.

QuestionsSolutions
21Official Pearson Documents2 resources
Exam focusPast papers and mark schemes are on Pearson’s qualification page, under Course materials → Exam materials.

Specification: GCSE (9–1) Mathematics 1MA1

Full content list with Foundation and Higher statements.

Specification (PDF)

Pearson GCSE Mathematics qualification page

Past papers, mark schemes, examiner reports and schemes of work.

Open Pearson page

IGCSE Physics

Cambridge IGCSE Physics, unit by unit: revision notes, numerical practice questions and worked solutions.

1Unit 1: Motion, Forces and Energy7 topics

IGCSE Physics 1.1 — Measurement of Physical Quantities

NotesQuestionsSolutions

IGCSE Physics 1.2 — Motion

NotesQuestionsSolutions

IGCSE Physics 1.3-1.4 — Mass, Weight and Density

NotesQuestionsSolutions

IGCSE Physics 1.5 — Forces

NotesQuestionsSolutions

IGCSE Physics 1.6 — Momentum

NotesQuestionsSolutions

IGCSE Physics 1.7 — Energy, Work and Power

NotesQuestionsSolutions

IGCSE Physics 1.8 — Pressure

NotesQuestionsSolutions
2Unit 2: Thermal Physics1 topic

IGCSE Physics Unit 2 — Thermal Physics

NotesQuestionsSolutions
3Unit 3: Waves1 topic

IGCSE Physics Unit 3 — Waves

NotesQuestionsSolutions
4Unit 4: Electricity and Magnetism1 topic

Electricity and Magnetism (Unit 4)

Notes — Part 1Notes — Part 2QuestionsSolutions
5Unit 5: Nuclear Physics1 topic

IGCSE Physics Unit 5 — Nuclear Physics

NotesQuestionsSolutions
6Unit 6: Space Physics1 topic

IGCSE Physics Unit 6 — Space Physics

NotesQuestionsSolutions
7Additional Class Notes (full-topic pages)12 topics

Measurement of Physical Quantities

NotesQuestionsSolutions

Motion

NotesQuestionsSolutions

Mass, Weight and Density

NotesQuestionsSolutions

Forces

NotesQuestionsSolutions

Momentum

NotesQuestionsSolutions

Energy (Work and Energy)

NotesQuestionsSolutions

Thermal Physics

NotesQuestionsSolutions

Waves

NotesQuestionsSolutions

Electricity

NotesQuestionsSolutions

Electricity and Magnetism II

NotesQuestionsSolutions

Nuclear Physics

NotesQuestionsSolutions

Space Physics

NotesQuestionsSolutions

IGCSE Chemistry

Cambridge IGCSE Chemistry, topic by topic: revision notes, practice questions and worked solutions.

1Topic 1: States of Matter1 topic

IGCSE Chemistry — States of Matter

NotesQuestionsSolutions
2Topic 2: Atoms, Elements and Compounds1 topic

IGCSE Chemistry — Atoms, Elements and Compounds

NotesQuestionsSolutions
3Topic 3: Stoichiometry1 topic

IGCSE Chemistry — Stoichiometry

NotesQuestionsSolutions
4Topic 4: Electrochemistry1 topic

IGCSE Chemistry — Electrochemistry

NotesQuestionsSolutions
5Topic 5: Chemical Energetics1 topic

IGCSE Chemistry — Chemical Energetics

NotesQuestionsSolutions
6Topic 6: Chemical Reactions1 topic

IGCSE Chemistry — Chemical Reactions

NotesQuestionsSolutions
7Topic 7: Acids, Bases and Salts1 topic

IGCSE Chemistry — Acids, Bases and Salts

NotesQuestionsSolutions
8Topic 8: The Periodic Table1 topic

IGCSE Chemistry — The Periodic Table

NotesQuestionsSolutions
9Topic 9: Metals1 topic

IGCSE Chemistry — Metals

NotesQuestionsSolutions
10Topic 10: Chemistry of the Environment1 topic

IGCSE Chemistry — Chemistry of the Environment

NotesQuestionsSolutions
11Topic 11: Organic Chemistry1 topic

IGCSE Chemistry — Organic Chemistry

NotesQuestionsSolutions
12Topic 12: Experimental Techniques and Analysis1 topic

IGCSE Chemistry — Experimental Techniques and Analysis

NotesQuestionsSolutions

IGCSE Accounting

Cambridge IGCSE Accounting, topic by topic: notes, practice questions and worked solutions, from double entry to financial statements.

1Topic 1: Fundamentals of Accounting1 topic

IGCSE Accounting — Fundamentals of Accounting

NotesQuestionsSolutions
2Topic 2: Double Entry and Ledgers1 topic

IGCSE Accounting — Double Entry and Ledgers

NotesQuestionsSolutions
3Topic 3: Business Documents and Books of Prime Entry1 topic

IGCSE Accounting — Business Documents and Books of Prime Entry

NotesQuestionsSolutions
4Topic 4: Trial Balance and Correction of Errors1 topic

IGCSE Accounting — Trial Balance and Correction of Errors

NotesQuestionsSolutions
5Topic 5: Bank Reconciliation1 topic

IGCSE Accounting — Bank Reconciliation

NotesQuestionsSolutions
6Topic 6: Control Accounts1 topic

IGCSE Accounting — Control Accounts

NotesQuestionsSolutions
7Topic 7: Capital and Revenue Expenditure1 topic

IGCSE Accounting — Capital and Revenue Expenditure

NotesQuestionsSolutions
8Topic 8: Depreciation and Non-Current Assets1 topic

IGCSE Accounting — Depreciation and Non-Current Assets

NotesQuestionsSolutions
9Topic 9: Accruals, Prepayments and Irrecoverable Debts1 topic

IGCSE Accounting — Accruals, Prepayments and Irrecoverable Debts

NotesQuestionsSolutions
10Topic 10: Inventory Valuation1 topic

IGCSE Accounting — Inventory Valuation

NotesQuestionsSolutions
11Topic 11: Sole Traders’ Financial Statements1 topic

IGCSE Accounting — Sole Traders’ Financial Statements

NotesQuestionsSolutions
12Topic 12: Partnerships1 topic

IGCSE Accounting — Partnerships

NotesQuestionsSolutions
13Topic 13: Limited Companies1 topic

IGCSE Accounting — Limited Companies

NotesQuestionsSolutions
14Topic 14: Manufacturing Accounts1 topic

IGCSE Accounting — Manufacturing Accounts

NotesQuestionsSolutions
15Topic 15: Clubs and Societies1 topic

IGCSE Accounting — Clubs and Societies

NotesQuestionsSolutions
16Topic 16: Incomplete Records1 topic

IGCSE Accounting — Incomplete Records

NotesQuestionsSolutions
17Topic 17: Accounting Ratios and Interpretation1 topic

IGCSE Accounting — Accounting Ratios and Interpretation

NotesQuestionsSolutions
18Topic 18: Accounting Concepts, Ethics and Technology1 topic

IGCSE Accounting — Accounting Concepts, Ethics and Technology

NotesQuestionsSolutions

CBSE Class X Mathematics

CBSE Class 10 Mathematics, chapter by chapter: notes, practice questions and worked solutions.

1Unit I: Number Systems1 topic

CBSE X Maths — Real Numbers

NotesQuestionsSolutions
2Unit II: Algebra4 topics

CBSE X Maths — Polynomials

NotesQuestionsSolutions

CBSE X Maths — Pair of Linear Equations in Two Variables

NotesQuestionsSolutions

CBSE X Maths — Quadratic Equations

NotesQuestionsSolutions

CBSE X Maths — Arithmetic Progressions

NotesQuestionsSolutions
3Unit III: Coordinate Geometry1 topic

CBSE X Maths — Coordinate Geometry

NotesQuestionsSolutions
4Unit IV: Geometry2 topics

CBSE X Maths — Triangles: Similarity

NotesQuestionsSolutions

CBSE X Maths — Circles: Tangents

NotesQuestionsSolutions
5Unit V: Trigonometry3 topics

CBSE X Maths — Introduction to Trigonometry

NotesQuestionsSolutions

CBSE X Maths — Trigonometric Identities

NotesQuestionsSolutions

CBSE X Maths — Heights and Distances

NotesQuestionsSolutions
6Unit VI: Mensuration2 topics

CBSE X Maths — Areas Related to Circles

NotesQuestionsSolutions

CBSE X Maths — Surface Areas and Volumes

NotesQuestionsSolutions
7Unit VII: Statistics and Probability2 topics

CBSE X Maths — Statistics

NotesQuestionsSolutions

CBSE X Maths — Probability

NotesQuestionsSolutions
8Extra Revision Resources1 topic

CBSE Class 10 Maths — Key Topics Revision

QuestionsSolutions

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