Mathematics — International 0607
Connect number, algebra, geometry and statistics through mathematical reasoning, modelling and problem solving.
What you'll cover
- Number
- Algebra
- Functions
- Coordinate geometry
- Geometry
- Mensuration
Published syllabus exam years: 2025, 2026, 2027, 2028, 2029, 2030. Confirm exam-series and centre availability with your school and Cambridge.
Cambridge IGCSE International Mathematics 0607 syllabus map
2028–2030 Syllabus · Version 1
10 of 10 sections have teaching and practice
Start the learning pathwayStudy options and assessment
The 2028–2030 Cambridge IGCSE International Mathematics 0607 syllabus has ten content topics. All ten topics have 58 original lessons mapped across their Core and Extended requirements, with guided, independent and application practice and explained answers. Lessons preserve tier limits and calculator expectations. This topic map does not provide full timed Papers 1–6, externally marked investigation or modelling papers, Cambridge grading or human subject-teacher review; self-checks do not certify a grade.
Choose your paper route
- Core candidatesPaper 1 + Paper 3 + Paper 5
Paper 1 is non-calculator (1 h 15 min, 60 marks, 40%); Paper 3 requires a GDC (1 h 15 min, 60 marks, 40%); Paper 5 is a GDC investigation (1 h 15 min, 40 marks, 20%).
- Extended candidatesPaper 2 + Paper 4 + Paper 6
Paper 2 is non-calculator (1 h 30 min, 75 marks, 40%); Paper 4 requires a GDC (1 h 30 min, 75 marks, 40%); Paper 6 is a GDC investigation and modelling paper (1 h 30 min, 50 marks, 20%).
Cambridge offers Core and Extended routes. Candidates should confirm their route with their school. Papers 1 and 2 do not allow calculators; Papers 3–6 require a graphic display calculator. GDC use includes graphing, tables, point plotting, zeros, local extrema and intersections; Extended candidates also use linear regression. Confirm the syllabus year and entry availability with your school.
View syllabus coverage
Topic 1 Number maps C1.1–C1.17 and E1.1–E1.17 to ten original lessons; C1.16 and C1.17 are Extended content only. Topic 2 Algebra maps C2.1–C2.8 and E2.1–E2.8 to eight original lessons; C2.8 is Extended content only, with E2.8 covering proportion. Topic 3 Functions maps C3.1–C3.7 and E3.1–E3.7 to seven original lessons; C3.4–C3.7 are Extended content only. Topic 4 Coordinate Geometry maps C4.1–C4.6 and E4.1–E4.6 to four original lessons; C4.6 is Extended content only. Topic 5 Geometry maps C5.1–C5.7 and E5.1–E5.7 to six original lessons. Topic 6 Mensuration maps C6.1–C6.5 and E6.1–E6.5 to five lessons covering unit conversions, plane areas, circles and sectors, solids, and compound shapes. Topic 7 Trigonometry maps C7.1–C7.2 and E7.1–E7.6 to six lessons covering Pythagoras, right triangles, exact values, graphs and equations, non-right triangles, and 3D trigonometry. Topic 8 Transformations and vectors maps C8.1 and E8.1–E8.3 to four lessons on single and combined transformations, inverse mappings, vector operations and magnitudes; Core and Extended limits are made explicit. Topic 9 Probability maps C9.1–C9.3 and E9.1–E9.3 to three lessons on single events, complements, expected frequencies and combined events with and without replacement. Topic 10 Statistics maps C10.1–C10.7 and E10.1–E10.8 to five lessons on data tables and inference, averages and spread, charts, scatter and regression, and Extended cumulative frequency. The six full examination components, external marking and independent subject-teacher review remain outstanding. The syllabus expects a graphic display calculator in Papers 3–6, but not Papers 1–2; angles are generally rounded to 1 decimal place unless specified. Formulas are supplied on Papers 1–4 and in questions for Papers 5–6.
Number
- Number1Classify numbers, find common factors and describe setsUse powers, roots and equivalent fraction formsOrder values and use operations and index lawsCalculate in standard form and estimate to a sensible accuracyUse ratio, proportion and rates in contextCalculate percentages, interest and reverse changesEnter calculations and interpret calculator displaysCalculate with time, timetables, money and currencyModel exponential growth and decay with repeated multipliersSimplify surds and rationalise denominators
Algebra
- Algebra2Translate situations into algebra and substitute valuesSimplify, expand and factorise algebraic expressionsSimplify and operate with algebraic fractionsApply integer and fractional index lawsSolve equations and rearrange formulasRepresent and solve linear inequalitiesContinue sequences and find general termsModel direct and inverse proportion
Functions
- Functions3Recognise function graphs and read their featuresUse a graphic display calculator to explore graphsUse function notation, domains, inverses and compositesBuild a quadratic function from its featuresIdentify simple graph asymptotesTranslate function graphsUse logarithms as inverse exponential functions
Coordinate geometry
- Coordinate geometry4
Geometry
- Geometry5
Mensuration
- Mensuration6
Trigonometry
- Trigonometry7
Transformations and vectors
- Transformations and vectors8
Probability
- Probability9
Statistics
- Statistics10
Practice the papers
Practice the papers
- Non-calculator · CorePaper 1 · 0 lessons
1 h 15 min · 60 marks · 40%. Core subject content, with sections listed by Cambridge as calculator-paper-only assessed elsewhere. No full timed paper or Cambridge marking is provided.
- Graphic display calculator · CorePaper 3 · 0 lessons
1 h 15 min · 60 marks · 40%. A graphic display calculator is required; some questions assess its functions. No full timed paper or Cambridge marking is provided.
- Investigation · CorePaper 5 · 0 lessons
1 h 15 min · 40 marks · 20%. GDC investigation with open-ended problem solving and clear reasoning. This assessment is not provided.
- Non-calculator · ExtendedPaper 2 · 0 lessons
1 h 30 min · 75 marks · 40%. Extended subject content, with specified calculator-only sections assessed elsewhere. No full timed paper or Cambridge marking is provided.
- Graphic display calculator · ExtendedPaper 4 · 0 lessons
1 h 30 min · 75 marks · 40%. A graphic display calculator is required; some questions assess its functions. No full timed paper or Cambridge marking is provided.
- Investigation and modelling · ExtendedPaper 6 · 0 lessons
1 h 30 min · 50 marks · 20%. GDC investigation and modelling with open-ended problem solving and clear reasoning. This assessment is not provided.
Lessons and worked examples
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- 01
Classify numbers, find common factors and describe sets
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 02
Use powers, roots and equivalent fraction forms
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 03
Order values and use operations and index laws
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 04
Calculate in standard form and estimate to a sensible accuracy
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 05
Use ratio, proportion and rates in context
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 06
Calculate percentages, interest and reverse changes
Learn the method · Practise with help · Try it yourself · Apply the idea
Not started - 07
Enter calculations and interpret calculator displays
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Not started - 08
Calculate with time, timetables, money and currency
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Not started - 09
Model exponential growth and decay with repeated multipliers
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Not started - 10
Simplify surds and rationalise denominators
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Not started - 11
Translate situations into algebra and substitute values
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Not started - 12
Simplify, expand and factorise algebraic expressions
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Not started - 13
Simplify and operate with algebraic fractions
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Not started - 14
Apply integer and fractional index laws
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Not started - 15
Solve equations and rearrange formulas
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Not started - 16
Represent and solve linear inequalities
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Not started - 17
Continue sequences and find general terms
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Not started - 18
Model direct and inverse proportion
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Not started - 19
Recognise function graphs and read their features
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Not started - 20
Use a graphic display calculator to explore graphs
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Not started - 21
Use function notation, domains, inverses and composites
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Not started - 22
Build a quadratic function from its features
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Not started - 23
Identify simple graph asymptotes
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Not started - 24
Translate function graphs
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Not started - 25
Use logarithms as inverse exponential functions
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Not started - 26
Read coordinates and calculate gradient
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Not started - 27
Find distance and midpoint from coordinates
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Not started - 28
Write equations of straight lines and parallel lines
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Not started - 29
Find perpendicular lines and bisectors
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Not started - 30
Use geometry vocabulary, angle measures and bearings
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Not started - 31
Use similarity and scale factors
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Not started - 32
Recognise line and rotational symmetry
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Not started - 33
Calculate angles in polygons and parallel lines
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Not started - 34
Use circle angle theorems I
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Not started - 35
Use circle symmetry and equal tangents
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Not started - 36
Convert units of length, area, volume and capacity
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Not started - 37
Calculate area and perimeter of plane shapes
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Not started - 38
Calculate circles, arcs and sectors
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Not started - 39
Calculate surface area and volume of solids
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Not started - 40
Solve problems with compound shapes and solids
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Not started - 41
Use Pythagoras’ theorem in two dimensions
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Not started - 42
Solve right-triangle and bearing problems
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Not started - 43
Recall exact trigonometric values
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Not started - 44
Interpret trigonometric graphs and solve equations
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Not started - 45
Solve non-right-angled triangle problems
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Not started - 46
Solve three-dimensional trigonometry problems
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Not started - 47
Describe and perform single transformations
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Not started - 48
Combine and reverse transformations
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Not started - 49
Calculate with two-dimensional vectors
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Not started - 50
Find the magnitude of a vector
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Not started - 51
Calculate single-event probabilities and complements
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Not started - 52
Estimate probability and expected frequency
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Not started - 53
Calculate probabilities of combined events
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Not started - 54
Organise, classify and interpret data
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Not started - 55
Calculate averages and measures of spread
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Not started - 56
Draw and interpret statistical charts
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Not started - 57
Interpret scatter diagrams and lines of fit
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Not started - 58
Read cumulative frequency diagrams
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Not started
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