Mathematics (9-1) 0980
Develop algebra, functions, trigonometry and calculus, then explore mechanics or statistics through the papers in your chosen route.
What you'll cover
- Number
- Algebra and graphs
- Coordinate geometry
- Geometry
- Mensuration
- Trigonometry
Published syllabus exam years: 2025, 2026, 2027, 2028, 2029, 2030. Confirm exam-series and centre availability with your school and Cambridge.
Cambridge IGCSE (9–1) Mathematics 0980 syllabus map
2025–2027 syllabus · 2028–2030 Version 2 · 9–1 grading
72 of 72 sections have teaching and practice
Start the learning pathwayStudy options and assessment
StudyForA maps the 72 Core and Extended section entries in Cambridge IGCSE Mathematics (9–1) 0980 to original teaching and staged practice. This route covers the 2025–2027 syllabus and the 2028–2030 Version 2 syllabus; Cambridge says the 2028 update makes no significant changes affecting teaching, while its assessment overview is updated. The course keeps the 9–1 grading and paper rules separate from 0580. Questions and written work are self-checked, not Cambridge-graded; this is not a timed mock or an official grade, and subject-teacher review remains pending. 0980 is available in June and November in Administrative Zone 3 and for centres in Oman and the UAE. Confirm the exam series and your centre's entry eligibility with Cambridge and your exams officer.
The 2025–2027 syllabus is a separate published version. The linked 2028–2030 syllabus is Version 2; its update changes the assessment overview and states there are no significant teaching changes. 0980 is available in June and November in Administrative Zone 3 and for centres in Oman and the UAE. Confirm the exam series and your centre's entry eligibility with Cambridge and your exams officer.
Choose your paper route
- Core route · grades 4–1 targetPaper 1 + Paper 3 · 50% each
Paper 1 is non-calculator; Paper 3 requires a scientific calculator. Each paper is 1 hour 30 minutes, 80 marks and externally assessed. Candidates are eligible for grades 5–1.
- Extended route · grades 9–5 targetPaper 2 + Paper 4 · 50% each
Paper 2 is non-calculator; Paper 4 requires a scientific calculator. Each paper is 2 hours, 100 marks and externally assessed. Candidates are eligible for grades 9–3.
Confirm the exam year, entry option and zone with your exams officer. StudyForA practice is not an exam entry or grade prediction; work written or drawn on the page is self-checked.
View syllabus coverage
The nine areas each include Core and Extended subject content. Core content is intended for grades 4–1; Extended contains Core plus additional requirements and is intended for grades 9–5. Core candidates take Papers 1 and 3; Extended candidates take Papers 2 and 4. Cambridge's eligible grade bands differ slightly from the intended tier targets. This is the separate 9–1 qualification 0980. Cambridge intends Core for grades 4–1 and Extended for grades 9–5; the eligible award bands are grades 5–1 for the Core papers and grades 9–3 for the Extended papers. The updated 2028–2030 assessment overview is used below. StudyForA offers original self-check practice, not Cambridge papers, mark schemes, or official grades. 0980 is available in June and November in Administrative Zone 3 and for centres in Oman and the UAE. Confirm the exam series and your centre's entry eligibility with Cambridge and your exams officer.
Number
- Number families and factorsC1.1 / E1.1
- Set relationshipsC1.2 / E1.2
- Powers and rootsC1.3 / E1.3
- Equivalent fractions, decimals and percentagesC1.4 / E1.4
- Numerical orderingC1.5 / E1.5
- Arithmetic operationsC1.6 / E1.6
- Index lawsC1.7 / E1.7
- Scientific notationC1.8 / E1.8
- Rounding and estimationC1.9 / E1.9
- Measurement boundsC1.10 / E1.10
- Ratios and proportional reasoningC1.11 / E1.11
- Rates and speedC1.12 / E1.12
- Percentage calculationsC1.13 / E1.13
- Calculator techniquesC1.14 / E1.14
- Time calculationsC1.15 / E1.15
- Money and currenciesC1.16 / E1.16
- Exponential changeE1.17 only
- Surd calculationsE1.18 only
Algebra and graphs
- Algebraic language and substitutionC2.1 / E2.1
- Expansion, factorisation and completing the squareC2.2 / E2.2
- Algebraic fractionsE2.3 only
- Algebraic indicesC2.4 / E2.4
- Equations, simultaneous equations and formulasC2.5 / E2.5
- Inequalities and regionsC2.6 / E2.6
- SequencesC2.7 / E2.7
- Algebraic proportionE2.8 only
- Practical graphs and ratesC2.9 / E2.9
- Function graphs and graphical equationsC2.10 / E2.10
- Sketching curvesC2.11 / E2.11
- DifferentiationE2.12 only
- Functions, inverses and compositionE2.13 only
Coordinate geometry
- Cartesian coordinatesC3.1 / E3.1
- Drawing linear graphsC3.2 / E3.2
- Gradients from a grid and two coordinatesC3.3 / E3.3
- Distance and midpointE3.4 only
- Equations of straight linesC3.5 / E3.5
- Parallel linesC3.6 / E3.6
- Perpendicular lines and bisectorsE3.7 only
Geometry
- Geometrical terms, plane shapes, solids and circlesC4.1 / E4.1
- Measurement, three-side constructions and netsC4.2 / E4.2
- Scale drawings and three-figure bearingsC4.3 / E4.3
- Similar lengths, areas and volumesC4.4 / E4.4
- 2D symmetry and Extended 3D planes and axesC4.5 / E4.5
- Angle reasoning and polygon propertiesC4.6 / E4.6
- Core and Extended circle-angle theoremsC4.7 / E4.7
- Chord distances, bisectors and equal tangentsE4.8 only
Mensuration
- Units and conversionsC5.1 / E5.1
- Perimeter and areaC5.2 / E5.2
- Circles, arcs and sectorsC5.3 / E5.3
- Surface areas and volumesC5.4 / E5.4
- Compound shapes and Extended frustaC5.5 / E5.5
Trigonometry
- PythagorasC6.1 / E6.1
- Right triangles, bearings and Extended elevation/depressionC6.2 / E6.2
- Exact trigonometric valuesE6.3 only
- Graphs and all equation solutionsE6.4 only
- Sine rule, cosine rule, area and ambiguous casesE6.5 only
- Three-dimensional problemsE6.6 only
Transformations and vectors
- Single Core and broader Extended transformationsC7.1 / E7.1
- Vector operationsE7.2 only
- Vector magnitudesE7.3 only
- Position vectors, ratios and collinearityE7.4 only
Probability
- Single events, complements and Venn diagramsC8.1 / E8.1
- Relative and expected frequenciesC8.2 / E8.2
- Combined events and tree diagramsC8.3 / E8.3
- Conditional probabilityE8.4 only
Statistics
- Classifying and tabulating dataC9.1 / E9.1
- Interpreting and comparing evidenceC9.2 / E9.2
- Averages, spread and Extended grouped dataC9.3 / E9.3
- Bar, pie, pictogram and stem-and-leaf diagramsC9.4 / E9.4
- Scatter diagrams and best-fit linesC9.5 / E9.5
- Cumulative frequency and percentilesE9.6 only
- Histograms and frequency densityE9.7 only
Practice the papers
Practice the papers
- Core · Non-calculatorPaper 1 · 78 lessonsNumber families and reciprocalsFactors, multiples and prime building blocksSets and Venn diagramsPowers and roots: reversing a processFractions, decimals and percentages as one quantityOrdering numbers and interpreting inequalitiesArithmetic operations and the order of calculationIndex laws from repeated factorsStandard form and calculations at different scalesRounding, estimation and sensible accuracyMeasurement bounds and the limits of accuracyRatios and proportional reasoning in contextRates, average speed and compound measuresPercentages, interest and recovering the originalCalculator techniques and interpreting the displayTime calculations, timetables and time differencesMoney calculations and currency conversionsAlgebraic language and substitutionCollecting terms and expanding bracketsAlgebraic indices and equal-base equationsConstructing and solving linear equationsLinear simultaneous equations and modellingRearranging formulas and repeated subjectsInequalities and intervals on a number lineSequences from differences, powers and ratiosTravel graphs, rates and area under speedTables, function graphs and graphical solutionsSketching curves from roots, symmetry and asymptotesCoordinates, axes and a point's positionDrawing straight-line graphs from an equationReading a gradient from the gridLine equations from a graph or a pointParallel lines and their equationsGeometrical language and plane shapesSolids and circle vocabularyMeasuring angles and constructing trianglesNets that fold into solidsScale drawings and real distancesThree-figure bearings and return directionsSimilar lengths and matching trianglesLine and rotational symmetryAngles, triangles and parallel linesInterior and exterior polygon anglesSemicircle angles and tangent radiiMetric units, square units and capacityPerimeter and perpendicular areaTrapezium areas and missing dimensionsCircle circumference and areaArc lengths and sector boundariesCuboids, prisms and exposed facesCylinder volume and surface areaPyramid volume and triangular facesCone volume, slant height and surface areaSpheres and hemispheresCompound areas and outside perimetersCompound solids and hidden join facesPythagoras and the hypotenuseSine, cosine and tangent for missing sidesInverse ratios for right-triangle anglesTwo-dimensional routes and right-triangle modelsTranslations and column vectorsReflections in horizontal and vertical linesRotations and a stated centrePositive and fractional enlargementsProbability scales and complementary eventsRelative frequency and expected outcomesSample spaces for combined experimentsTwo-event Venn diagrams and overlapTree diagrams with replacementClassifying data and two-way tablesInterpreting and comparing statistical evidenceMean, median, mode and rangeAverages from an ungrouped frequency tableBar charts and honest scalesPie charts and pictogram keysOrdered stem-and-leaf diagramsDual and stacked bar chartsScatter diagrams and lines of best fit
1 hour 30 minutes · 80 marks · 50% of the Core route · externally assessed. Calculators are not allowed.
- Extended · Non-calculatorPaper 2 · 122 lessonsNumber families and reciprocalsFactors, multiples and prime building blocksSets and Venn diagramsPowers and roots: reversing a processFractions, decimals and percentages as one quantityOrdering numbers and interpreting inequalitiesArithmetic operations and the order of calculationIndex laws from repeated factorsStandard form and calculations at different scalesRounding, estimation and sensible accuracyMeasurement bounds and the limits of accuracyRatios and proportional reasoning in contextRates, average speed and compound measuresPercentages, interest and recovering the originalCalculator techniques and interpreting the displayTime calculations, timetables and time differencesMoney calculations and currency conversionsExponential growth and decay modelsSurds and rationalising a denominatorAlgebraic language and substitutionCollecting terms and expanding bracketsFactorising quadratics and grouped expressionsCompleting the square and locating a turning pointAlgebraic fractions and excluded valuesAlgebraic indices and equal-base equationsConstructing and solving linear equationsLinear simultaneous equations and modellingQuadratic equations with three solving methodsRearranging formulas and repeated subjectsFractional equations and checking forbidden rootsSimultaneous linear and non-linear equationsInequalities and intervals on a number lineInequality regions and boundary linesSequences from differences, powers and ratiosDirect and inverse proportion as equationsTravel graphs, rates and area under speedTables, function graphs and graphical solutionsSketching curves from roots, symmetry and asymptotesDifferentiation, tangents and stationary pointsFunctions, domains, inverses and compositionCoordinates, axes and a point's positionDrawing straight-line graphs from an equationReading a gradient from the gridGradient from two stated coordinatesDistance between two pointsMidpoints and a missing endpointLine equations from a graph or a pointRearranging general line equationsParallel lines and their equationsPerpendicular lines and perpendicular bisectorsGeometrical language and plane shapesSolids and circle vocabularyMeasuring angles and constructing trianglesNets that fold into solidsScale drawings and real distancesThree-figure bearings and return directionsSimilar lengths and matching trianglesSimilar areas and volumesLine and rotational symmetrySymmetry planes and axes in solidsAngles, triangles and parallel linesInterior and exterior polygon anglesSemicircle angles and tangent radiiCentral angles, cyclic shapes and tangent chordsChord distances and equal tangent lengthsMetric units, square units and capacityPerimeter and perpendicular areaTrapezium areas and missing dimensionsCircle circumference and areaArc lengths and sector boundariesCuboids, prisms and exposed facesCylinder volume and surface areaPyramid volume and triangular facesCone volume, slant height and surface areaSpheres and hemispheresCompound areas and outside perimetersCompound solids and hidden join facesFrusta from similar conesPythagoras and the hypotenuseSine, cosine and tangent for missing sidesInverse ratios for right-triangle anglesTwo-dimensional routes and right-triangle modelsAngles of elevation and depressionExact trigonometric valuesTrigonometric graphs over one full turnAll solutions of trigonometric equationsSine rule and opposite pairsCosine rule for sides and anglesTriangle area from an included angleThe ambiguous sine-rule caseThree-dimensional triangles and line–plane anglesTranslations and column vectorsReflections in horizontal and vertical linesRotations and a stated centrePositive and fractional enlargementsReflections in diagonal mirror linesNegative enlargement factorsCombinations and the order of transformationsVector addition, subtraction and scalar multiplesVector magnitude and unit directionsPosition vectors and division of a segmentParallel and collinear vector argumentsProbability scales and complementary eventsRelative frequency and expected outcomesSample spaces for combined experimentsTwo-event Venn diagrams and overlapTree diagrams with replacementTree diagrams without replacementConditional probability and a restricted groupClassifying data and two-way tablesInterpreting and comparing statistical evidenceMean, median, mode and rangeAverages from an ungrouped frequency tableQuartiles and interquartile rangeEstimated means and modal classes for grouped dataBar charts and honest scalesPie charts and pictogram keysOrdered stem-and-leaf diagramsDual and stacked bar chartsScatter diagrams and lines of best fitCumulative frequency curves and percentilesHistograms with unequal class widths
2 hours · 100 marks · 50% of the Extended route · externally assessed. Calculators are not allowed.
- Core · CalculatorPaper 3 · 78 lessonsNumber families and reciprocalsFactors, multiples and prime building blocksSets and Venn diagramsPowers and roots: reversing a processFractions, decimals and percentages as one quantityOrdering numbers and interpreting inequalitiesArithmetic operations and the order of calculationIndex laws from repeated factorsStandard form and calculations at different scalesRounding, estimation and sensible accuracyMeasurement bounds and the limits of accuracyRatios and proportional reasoning in contextRates, average speed and compound measuresPercentages, interest and recovering the originalCalculator techniques and interpreting the displayTime calculations, timetables and time differencesMoney calculations and currency conversionsAlgebraic language and substitutionCollecting terms and expanding bracketsAlgebraic indices and equal-base equationsConstructing and solving linear equationsLinear simultaneous equations and modellingRearranging formulas and repeated subjectsInequalities and intervals on a number lineSequences from differences, powers and ratiosTravel graphs, rates and area under speedTables, function graphs and graphical solutionsSketching curves from roots, symmetry and asymptotesCoordinates, axes and a point's positionDrawing straight-line graphs from an equationReading a gradient from the gridLine equations from a graph or a pointParallel lines and their equationsGeometrical language and plane shapesSolids and circle vocabularyMeasuring angles and constructing trianglesNets that fold into solidsScale drawings and real distancesThree-figure bearings and return directionsSimilar lengths and matching trianglesLine and rotational symmetryAngles, triangles and parallel linesInterior and exterior polygon anglesSemicircle angles and tangent radiiMetric units, square units and capacityPerimeter and perpendicular areaTrapezium areas and missing dimensionsCircle circumference and areaArc lengths and sector boundariesCuboids, prisms and exposed facesCylinder volume and surface areaPyramid volume and triangular facesCone volume, slant height and surface areaSpheres and hemispheresCompound areas and outside perimetersCompound solids and hidden join facesPythagoras and the hypotenuseSine, cosine and tangent for missing sidesInverse ratios for right-triangle anglesTwo-dimensional routes and right-triangle modelsTranslations and column vectorsReflections in horizontal and vertical linesRotations and a stated centrePositive and fractional enlargementsProbability scales and complementary eventsRelative frequency and expected outcomesSample spaces for combined experimentsTwo-event Venn diagrams and overlapTree diagrams with replacementClassifying data and two-way tablesInterpreting and comparing statistical evidenceMean, median, mode and rangeAverages from an ungrouped frequency tableBar charts and honest scalesPie charts and pictogram keysOrdered stem-and-leaf diagramsDual and stacked bar chartsScatter diagrams and lines of best fit
1 hour 30 minutes · 80 marks · 50% of the Core route · externally assessed. A scientific calculator is required.
- Extended · CalculatorPaper 4 · 122 lessonsNumber families and reciprocalsFactors, multiples and prime building blocksSets and Venn diagramsPowers and roots: reversing a processFractions, decimals and percentages as one quantityOrdering numbers and interpreting inequalitiesArithmetic operations and the order of calculationIndex laws from repeated factorsStandard form and calculations at different scalesRounding, estimation and sensible accuracyMeasurement bounds and the limits of accuracyRatios and proportional reasoning in contextRates, average speed and compound measuresPercentages, interest and recovering the originalCalculator techniques and interpreting the displayTime calculations, timetables and time differencesMoney calculations and currency conversionsExponential growth and decay modelsSurds and rationalising a denominatorAlgebraic language and substitutionCollecting terms and expanding bracketsFactorising quadratics and grouped expressionsCompleting the square and locating a turning pointAlgebraic fractions and excluded valuesAlgebraic indices and equal-base equationsConstructing and solving linear equationsLinear simultaneous equations and modellingQuadratic equations with three solving methodsRearranging formulas and repeated subjectsFractional equations and checking forbidden rootsSimultaneous linear and non-linear equationsInequalities and intervals on a number lineInequality regions and boundary linesSequences from differences, powers and ratiosDirect and inverse proportion as equationsTravel graphs, rates and area under speedTables, function graphs and graphical solutionsSketching curves from roots, symmetry and asymptotesDifferentiation, tangents and stationary pointsFunctions, domains, inverses and compositionCoordinates, axes and a point's positionDrawing straight-line graphs from an equationReading a gradient from the gridGradient from two stated coordinatesDistance between two pointsMidpoints and a missing endpointLine equations from a graph or a pointRearranging general line equationsParallel lines and their equationsPerpendicular lines and perpendicular bisectorsGeometrical language and plane shapesSolids and circle vocabularyMeasuring angles and constructing trianglesNets that fold into solidsScale drawings and real distancesThree-figure bearings and return directionsSimilar lengths and matching trianglesSimilar areas and volumesLine and rotational symmetrySymmetry planes and axes in solidsAngles, triangles and parallel linesInterior and exterior polygon anglesSemicircle angles and tangent radiiCentral angles, cyclic shapes and tangent chordsChord distances and equal tangent lengthsMetric units, square units and capacityPerimeter and perpendicular areaTrapezium areas and missing dimensionsCircle circumference and areaArc lengths and sector boundariesCuboids, prisms and exposed facesCylinder volume and surface areaPyramid volume and triangular facesCone volume, slant height and surface areaSpheres and hemispheresCompound areas and outside perimetersCompound solids and hidden join facesFrusta from similar conesPythagoras and the hypotenuseSine, cosine and tangent for missing sidesInverse ratios for right-triangle anglesTwo-dimensional routes and right-triangle modelsAngles of elevation and depressionExact trigonometric valuesTrigonometric graphs over one full turnAll solutions of trigonometric equationsSine rule and opposite pairsCosine rule for sides and anglesTriangle area from an included angleThe ambiguous sine-rule caseThree-dimensional triangles and line–plane anglesTranslations and column vectorsReflections in horizontal and vertical linesRotations and a stated centrePositive and fractional enlargementsReflections in diagonal mirror linesNegative enlargement factorsCombinations and the order of transformationsVector addition, subtraction and scalar multiplesVector magnitude and unit directionsPosition vectors and division of a segmentParallel and collinear vector argumentsProbability scales and complementary eventsRelative frequency and expected outcomesSample spaces for combined experimentsTwo-event Venn diagrams and overlapTree diagrams with replacementTree diagrams without replacementConditional probability and a restricted groupClassifying data and two-way tablesInterpreting and comparing statistical evidenceMean, median, mode and rangeAverages from an ungrouped frequency tableQuartiles and interquartile rangeEstimated means and modal classes for grouped dataBar charts and honest scalesPie charts and pictogram keysOrdered stem-and-leaf diagramsDual and stacked bar chartsScatter diagrams and lines of best fitCumulative frequency curves and percentilesHistograms with unequal class widths
2 hours · 100 marks · 50% of the Extended route · externally assessed. A scientific calculator is required.
Your route through Mathematics
Explore nine areas, from number and algebra to geometry, probability and statistics.
Choose a pathway or review
Check Coordinate geometry and plan a review
Check Geometry and plan a review
Check Mensuration and plan a review
Check Trigonometry and plan a review
Check Transformations and vectors and plan a review
View syllabus coverage
The nine syllabus areas
- 1 · Number19 sequenced lessons; 18 of 18 section entries have teaching and practice.
- 2 · Algebra and graphs21 sequenced lessons; 13 of 13 section entries have teaching and practice.
- 3 · Coordinate geometry10 sequenced teaching lessons; 7 of 7 section entries have teaching and practice. The mixed checkpoint recommends review lessons.
- 4 · Geometry15 sequenced teaching lessons; 8 of 8 section entries have teaching and practice. The mixed checkpoint recommends review lessons. Paper constructions are self-checked.
- 5 · Mensuration13 sequenced teaching lessons; 5 of 5 section entries have teaching and practice. A tier-specific mixed checkpoint suggests review lessons.
- 6 · Trigonometry13 sequenced teaching lessons; 6 of 6 section entries have teaching and practice. A tier-specific mixed checkpoint suggests review lessons.
- 7 · Transformations and vectors11 sequenced teaching lessons; 4 of 4 section entries have teaching and practice. A tier-specific mixed checkpoint suggests review lessons.
- 8 · Probability7 sequenced teaching lessons; 4 of 4 section entries have teaching and practice. A tier-specific mixed checkpoint suggests review lessons.
- 9 · Statistics13 sequenced teaching lessons; 7 of 7 section entries have teaching and practice. A tier-specific mixed checkpoint suggests review lessons.
Choose a pathway and work through the explanations and practice. All nine syllabus areas have teaching linked to all 72 Extended section entries, with Core requirements labelled. Mixed checkpoints help you choose what to revisit; they do not certify mastery or teacher verification.
Number: Lessons by syllabus section
- Number families and factorsC1.1 / E1.1
- Set relationshipsC1.2 / E1.2
- Powers and rootsC1.3 / E1.3
- Equivalent fractions, decimals and percentagesC1.4 / E1.4
- Numerical orderingC1.5 / E1.5
- Arithmetic operationsC1.6 / E1.6
- Index lawsC1.7 / E1.7
- Scientific notationC1.8 / E1.8
- Rounding and estimationC1.9 / E1.9
- Measurement boundsC1.10 / E1.10
- Ratios and proportional reasoningC1.11 / E1.11
- Rates and speedC1.12 / E1.12
- Percentage calculationsC1.13 / E1.13
- Calculator techniquesC1.14 / E1.14
- Time calculationsC1.15 / E1.15
- Money and currenciesC1.16 / E1.16
- Exponential changeE1.17 only
- Surd calculationsE1.18 only
Algebra and graphs: Lessons by syllabus section
- Algebraic language and substitutionC2.1 / E2.1
- Expansion, factorisation and completing the squareC2.2 / E2.2
- Algebraic fractionsE2.3 only
- Algebraic indicesC2.4 / E2.4
- Equations, simultaneous equations and formulasC2.5 / E2.5
- Inequalities and regionsC2.6 / E2.6
- SequencesC2.7 / E2.7
- Algebraic proportionE2.8 only
- Practical graphs and ratesC2.9 / E2.9
- Function graphs and graphical equationsC2.10 / E2.10
- Sketching curvesC2.11 / E2.11
- DifferentiationE2.12 only
- Functions, inverses and compositionE2.13 only
Coordinate geometry: Lessons by syllabus section
- Cartesian coordinatesC3.1 / E3.1
- Drawing linear graphsC3.2 / E3.2
- Gradients from a grid and two coordinatesC3.3 / E3.3
- Distance and midpointE3.4 only
- Equations of straight linesC3.5 / E3.5
- Parallel linesC3.6 / E3.6
- Perpendicular lines and bisectorsE3.7 only
Geometry: Lessons by syllabus section
- Geometrical terms, plane shapes, solids and circlesC4.1 / E4.1
- Measurement, three-side constructions and netsC4.2 / E4.2
- Scale drawings and three-figure bearingsC4.3 / E4.3
- Similar lengths, areas and volumesC4.4 / E4.4
- 2D symmetry and Extended 3D planes and axesC4.5 / E4.5
- Angle reasoning and polygon propertiesC4.6 / E4.6
- Core and Extended circle-angle theoremsC4.7 / E4.7
- Chord distances, bisectors and equal tangentsE4.8 only
Mensuration: Lessons by syllabus section
- Units and conversionsC5.1 / E5.1
- Perimeter and areaC5.2 / E5.2
- Circles, arcs and sectorsC5.3 / E5.3
- Surface areas and volumesC5.4 / E5.4
- Compound shapes and Extended frustaC5.5 / E5.5
Trigonometry: Lessons by syllabus section
- PythagorasC6.1 / E6.1
- Right triangles, bearings and Extended elevation/depressionC6.2 / E6.2
- Exact trigonometric valuesE6.3 only
- Graphs and all equation solutionsE6.4 only
- Sine rule, cosine rule, area and ambiguous casesE6.5 only
- Three-dimensional problemsE6.6 only
Transformations and vectors: Lessons by syllabus section
- Single Core and broader Extended transformationsC7.1 / E7.1
- Vector operationsE7.2 only
- Vector magnitudesE7.3 only
- Position vectors, ratios and collinearityE7.4 only
Probability: Lessons by syllabus section
- Single events, complements and Venn diagramsC8.1 / E8.1
- Relative and expected frequenciesC8.2 / E8.2
- Combined events and tree diagramsC8.3 / E8.3
- Conditional probabilityE8.4 only
Statistics: Lessons by syllabus section
- Classifying and tabulating dataC9.1 / E9.1
- Interpreting and comparing evidenceC9.2 / E9.2
- Averages, spread and Extended grouped dataC9.3 / E9.3
- Bar, pie, pictogram and stem-and-leaf diagramsC9.4 / E9.4
- Scatter diagrams and best-fit linesC9.5 / E9.5
- Cumulative frequency and percentilesE9.6 only
- Histograms and frequency densityE9.7 only
Lessons and worked examples
Choose where to begin
Choose a lesson, try the practice and explain the idea without your notes. Your study checks help you decide what to review.
- 01
Number families and reciprocals
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 02
Factors, multiples and prime building blocks
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 03
Sets and Venn diagrams
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 04
Powers and roots: reversing a process
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 05
Fractions, decimals and percentages as one quantity
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 06
Ordering numbers and interpreting inequalities
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 07
Arithmetic operations and the order of calculation
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 08
Index laws from repeated factors
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 09
Standard form and calculations at different scales
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 10
Rounding, estimation and sensible accuracy
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 11
Measurement bounds and the limits of accuracy
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 12
Ratios and proportional reasoning in context
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 13
Rates, average speed and compound measures
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 14
Percentages, interest and recovering the original
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 15
Calculator techniques and interpreting the display
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 16
Time calculations, timetables and time differences
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 17
Money calculations and currency conversions
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 18
Exponential growth and decay models
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 19
Surds and rationalising a denominator
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 20
Algebraic language and substitution
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 21
Collecting terms and expanding brackets
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 22
Factorising quadratics and grouped expressions
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 23
Completing the square and locating a turning point
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 24
Algebraic fractions and excluded values
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 25
Algebraic indices and equal-base equations
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 26
Constructing and solving linear equations
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 27
Linear simultaneous equations and modelling
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 28
Quadratic equations with three solving methods
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 29
Rearranging formulas and repeated subjects
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 30
Fractional equations and checking forbidden roots
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 31
Simultaneous linear and non-linear equations
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 32
Inequalities and intervals on a number line
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 33
Inequality regions and boundary lines
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 34
Sequences from differences, powers and ratios
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 35
Direct and inverse proportion as equations
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 36
Travel graphs, rates and area under speed
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 37
Tables, function graphs and graphical solutions
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 38
Sketching curves from roots, symmetry and asymptotes
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 39
Differentiation, tangents and stationary points
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 40
Functions, domains, inverses and composition
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 41
Coordinates, axes and a point's position
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 42
Drawing straight-line graphs from an equation
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 43
Reading a gradient from the grid
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 44
Gradient from two stated coordinates
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 45
Distance between two points
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 46
Midpoints and a missing endpoint
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 47
Line equations from a graph or a point
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 48
Rearranging general line equations
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 49
Parallel lines and their equations
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 50
Perpendicular lines and perpendicular bisectors
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 51
Coordinate geometry mixed checkpoint
Understand the idea · See an example · Check yourself
Not started - 52
Geometrical language and plane shapes
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 53
Solids and circle vocabulary
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 54
Measuring angles and constructing triangles
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 55
Nets that fold into solids
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 56
Scale drawings and real distances
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 57
Three-figure bearings and return directions
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 58
Similar lengths and matching triangles
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 59
Similar areas and volumes
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 60
Line and rotational symmetry
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 61
Symmetry planes and axes in solids
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 62
Angles, triangles and parallel lines
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 63
Interior and exterior polygon angles
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 64
Semicircle angles and tangent radii
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 65
Central angles, cyclic shapes and tangent chords
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 66
Chord distances and equal tangent lengths
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 67
- 68
Metric units, square units and capacity
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 69
Perimeter and perpendicular area
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 70
Trapezium areas and missing dimensions
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 71
Circle circumference and area
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 72
Arc lengths and sector boundaries
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 73
Cuboids, prisms and exposed faces
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 74
Cylinder volume and surface area
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 75
Pyramid volume and triangular faces
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 76
Cone volume, slant height and surface area
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 77
Spheres and hemispheres
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 78
Compound areas and outside perimeters
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 79
Compound solids and hidden join faces
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 80
Frusta from similar cones
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 81
- 82
Pythagoras and the hypotenuse
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 83
Sine, cosine and tangent for missing sides
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 84
Inverse ratios for right-triangle angles
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 85
Two-dimensional routes and right-triangle models
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 86
Angles of elevation and depression
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 87
Exact trigonometric values
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 88
Trigonometric graphs over one full turn
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 89
All solutions of trigonometric equations
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 90
Sine rule and opposite pairs
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 91
Cosine rule for sides and angles
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 92
Triangle area from an included angle
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 93
The ambiguous sine-rule case
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 94
Three-dimensional triangles and line–plane angles
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 95
- 96
Translations and column vectors
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 97
Reflections in horizontal and vertical lines
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 98
Rotations and a stated centre
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 99
Positive and fractional enlargements
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 100
Reflections in diagonal mirror lines
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 101
Negative enlargement factors
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 102
Combinations and the order of transformations
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 103
Vector addition, subtraction and scalar multiples
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 104
Vector magnitude and unit directions
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 105
Position vectors and division of a segment
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 106
Parallel and collinear vector arguments
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 107
Transformations and vectors mixed checkpoint
Understand the idea · See an example · Check yourself
Not started - 108
Probability scales and complementary events
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 109
Relative frequency and expected outcomes
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 110
Sample spaces for combined experiments
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 111
Two-event Venn diagrams and overlap
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 112
Tree diagrams with replacement
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 113
Tree diagrams without replacement
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 114
Conditional probability and a restricted group
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 115
- 116
Classifying data and two-way tables
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 117
Interpreting and comparing statistical evidence
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 118
Mean, median, mode and range
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 119
Averages from an ungrouped frequency table
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 120
Quartiles and interquartile range
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 121
Estimated means and modal classes for grouped data
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 122
Bar charts and honest scales
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 123
Pie charts and pictogram keys
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 124
Ordered stem-and-leaf diagrams
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 125
Dual and stacked bar charts
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 126
Scatter diagrams and lines of best fit
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 127
Cumulative frequency curves and percentiles
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 128
Histograms with unequal class widths
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 129
- 130
- 131
- 132
- 133
Coordinate geometry and stationary points
Understand the idea · See an example · Check yourself
Not started - 134
Geometry, circle theorems and similarity
Understand the idea · See an example · Check yourself
Not started - 135
- 136
- 137
- 138
These checks record your study activity and self-assessment, not a mastery score. Check the course coverage map for available lessons and remaining topics.
Practise this subject
Topic tests: Easy, Normal and Difficult
Choose a topic, save your answers and compare your reasoning with worked models. See available tests and any coverage gaps.
Browse 72 topics →No StudyForA practice set is published for this exact qualification yet. Use the official papers below or in the resource guide.