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Cambridge IGCSE Mathematics (0580)

Every topic with its Cambridge IGCSE reference, and free notes and tools to revise it.

We made this map from the board's own specification. Our topics follow the GCSE and A-level courses, so where a board groups content differently, one reference can cover more than one topic. Extended references (E). Core uses the same numbers with C. Specification (PDF) (opens a new tab)

TopicSpecNotes and tools
Place value, rounding and boundsE1.1, E1.2, E1.5, E1.6, E1.9, E1.10, E1.14 Rounding, error intervals and boundsPrime factors, HCF and LCMPlace value, rounding and bounds: lessons and questions Scientific calculator
Fractions, decimals and percentagesE1.4, E1.13 FractionsPercentagesFractions, decimals and percentages: lessons and questions Fractions and percentagesScientific calculator
Powers, roots and standard formE1.3, E1.7, E1.8, E2.4 The laws of indicesStandard formPowers, roots and standard form: lessons and questions Scientific calculator
SurdsE1.18 SurdsSurds: lessons and questions Scientific calculatorEquation solver
Algebraic expressionsE2.1 to E2.3 Scientific calculatorEquation solver
19 topics
TopicSpecNotes and tools
Linear equations and inequalitiesE2.5, E2.6 InequalitiesSolving linear equationsLinear equations and inequalities: lessons and questions Equation solverGraphing calculator
Formulae and rearrangingE2.1, E2.5 Substituting and rearranging formulaeFormulae and rearranging: lessons and questions Scientific calculator
Straight-line graphsE3.1 to E3.7 Straight-line graphs: y = mx + cStraight-line graphs: lessons and questions Graphing calculatorStraight lines: y = mx + c
QuadraticsE2.2, E2.5, E2.11 Expanding and factorisingSolving quadratic equationsQuadratics: lessons and questions Graphing calculatorEquation solver
Simultaneous equationsE2.5 Simultaneous equationsSimultaneous equations: lessons and questions Equation solverStraight lines: y = mx + cGraphing calculator
SequencesE2.7 Sequences and the nth termSequences: lessons and questions Graphing calculator
Functions and graph transformationsE2.10, E2.11, E2.13 Functions: composite and inverseFunctions and graph transformations: lessons and questions Graphing calculatorGraph transformationsUnit circle
Proof and iterationE2.5 (solving by iteration is not in 0580) Algebraic proofProof and iteration: lessons and questions Graphing calculatorNumerical methods: Newton-Raphson, iteration, bisection
Ratio and proportionE1.11, E2.8 RatioRatio and proportion: lessons and questions Unit converterFractions and percentagesGraphing calculator
Rates, compound measures and growthE1.12, E1.15 to E1.17, E2.9 Speed, distance and time, and compound measuresRates, compound measures and growth: lessons and questions Unit converterGraphing calculatorScientific calculator
Angles, polygons and parallel linesE4.1, E4.6 Angles and parallel linesAngle facts and angles in polygonsAngles, polygons and parallel lines: lessons and questions Graphing calculatorScientific calculator
Constructions, loci and bearingsE4.2, E4.3, E6.1 BearingsConstructions, loci and bearings: lessons and questions Graphing calculator
Area, perimeter and volumeE5.1 to E5.5 Area and perimeterCircles: area, circumference, arcs and sectorsArea, perimeter and volume: lessons and questions Scientific calculator
Pythagoras and trigonometryE6.1 to E6.6 Pythagoras' theorem and trigonometryPythagoras and trigonometry: lessons and questions Unit circleScientific calculator
Circles and circle theoremsE4.7, E4.8, E5.3 Circle theoremsCircles and circle theorems: lessons and questions Circle theoremsGraphing calculator
Transformations, congruence and similarityE4.4, E4.5, E7.1 TransformationsTransformations, congruence and similarity: lessons and questions Graph transformations
VectorsE7.2 to E7.4 VectorsVectors: lessons and questions
ProbabilityE8.1 to E8.4 ProbabilityProbability: lessons and questions Probability experiments
Statistics and chartsE9.1 to E9.7 Averages and frequency tablesStatistics and charts: lessons and questions Statistics calculator

Official Cambridge IGCSE pages

Search for 0580 on the board's page to find this course.

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