Mathematics — Additional 0606
Extend your algebra, functions and trigonometry, then use calculus to solve problems involving change and area.
What you'll cover
- Algebra and functions
- Equations, inequalities and graphs
- Logarithmic and exponential functions
- Straight-line graphs
- Coordinate geometry of the circle
- Circular measure
Published syllabus exam years: 2025, 2026, 2027, 2028, 2029, 2030. Confirm exam-series and centre availability with your school and Cambridge.
Cambridge IGCSE Additional Mathematics 0606 syllabus map
2028–2030 Syllabus · Version 1
14 of 14 sections have teaching and practice
Start the learning pathwayStudy options and assessment
All 14 topics in the Cambridge IGCSE Additional Mathematics 0606 syllabus have mapped teaching: Functions, Quadratic functions, Factors of polynomials, Equations/inequalities/graphs, Simultaneous equations, Logarithmic and exponential functions, Straight-line graphs, Coordinate geometry of the circle, Circular measure, Trigonometry, Permutations and combinations, Series, Vectors in two dimensions, and Calculus. Lessons include guided, independent and application practice with explained answers. No full timed Paper 1 or Paper 2, Cambridge marking or human specialist review is provided; self-checks do not certify a grade.
Choose your paper route
- All candidatesPaper 1 + Paper 2
Both two-hour, 80-mark papers are compulsory and externally assessed. Each contributes 50%; Paper 1 is non-calculator and Paper 2 requires a scientific calculator.
Cambridge assumes knowledge of IGCSE Mathematics or an equivalent course. In 2028–2030, candidates take both compulsory papers: Paper 1 without a calculator and Paper 2 with a scientific calculator. Surds and indices are not tested as standalone topics but may be needed in other questions. Confirm the syllabus year with your school.
View syllabus coverage
All 14 topics and their listed objectives are mapped to original lessons and three stages of self-checked practice. Topic 11 follows the syllabus limits: repeated objects, circular arrangements, and problems that combine a permutation with a combination are excluded. Topic 12 teaches binomial expansion and term selection alongside arithmetic and geometric progressions; the syllabus supplies the binomial, finite-sum and convergent infinite-sum formulas, but learners still choose and apply them. Topic 13 covers two-dimensional vector notation, position and unit vectors, vector operations, segment division, and composed or resolved velocities, including collision contexts. Topic 14 teaches differentiation, integration and kinematics; the syllabus does not provide calculus formulas, so the lessons practise recalling and applying them. The 0606 syllabus does not give arc-length or sector-area formulas; Topic 9 derives and practises them. The Topic 10 trigonometric identities are supplied by Cambridge, and these lessons teach their use in equations and proofs. The course assumes IGCSE Mathematics knowledge; surds and indices may be needed within questions although they are not assessed as standalone 0606 topics. Full timed papers and independent subject-teacher review remain outstanding.
Algebra and functions
- Functions1
- Quadratic functions2
- Factors of polynomials3
Equations, inequalities and graphs
- Equations, inequalities and graphs4
- Simultaneous equations5
Logarithmic and exponential functions
- Logarithmic and exponential functions6
Straight-line graphs
- Straight-line graphs7
Coordinate geometry of the circle
- Coordinate geometry of the circle8
Circular measure
- Circular measure9
Trigonometry
- Trigonometry10Use all six trigonometric functions for any angleGraph sine and cosine with amplitude and periodSketch tangent graphs and label their asymptotesUse the three trigonometric identitiesSolve sine, cosine and tangent equations on a domainSolve equations with secant, cosecant and cotangentProve trigonometric relationships using identities
Counting
- Permutations and combinations11
Sequences and series
- Series12
Vectors
- Vectors in two dimensions13
Calculus
- Calculus14Interpret a derived function and its notationDifferentiate powers and sums of powersDifferentiate trigonometric and exponential functionsDifferentiate composite functions with the chain ruleDifferentiate products of functionsDifferentiate quotients of functionsFind equations of tangents and normalsFind stationary points of a curveClassify stationary points with derivative testsSolve connected rates of changeEstimate small changes with differentialsOptimise a practical quantity with derivativesIntegrate sums of powers and reciprocalsIntegrate powers and functions of ax + bEvaluate definite integrals and areas under curvesFind areas between curves and across multiple regionsConnect displacement, velocity and accelerationRead and sketch straight-line motion graphs
Practice the papers
Practice the papers
- Non-calculator paperPaper 1 · 0 lessons
2 hours · 80 marks · 50% · structured and unstructured questions can assess any topic. StudyForA has no full timed Paper 1 or Cambridge-style grading yet.
- Calculator paperPaper 2 · 0 lessons
2 hours · 80 marks · 50% · structured and unstructured questions can assess any topic. StudyForA has no full timed Paper 2 or Cambridge-style grading yet.
Lessons and worked examples
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- 01
Read function domains, ranges and inverse conditions
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Not started - 02
Use function notation and composition in the right order
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Not started - 03
Find an inverse and sketch its reflected graph
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Not started - 04
Sketch the modulus of a function
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Not started - 05
Find quadratic turning points and ranges
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Not started - 06
Use the discriminant to classify roots and intersections
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Not started - 07
Solve quadratic equations and inequalities
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Not started - 08
Use polynomial remainder and factor theorems
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Not started - 09
Solve cubic equations from their factors
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Not started - 10
Solve equations and inequalities with moduli
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Not started - 11
Use substitution to solve transformed equations
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Not started - 12
Sketch cubic products and solve their inequalities
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Not started - 13
Solve simultaneous linear and quadratic equations
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Not started - 14
Sketch exponential and logarithmic graphs
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Not started - 15
Combine logarithms and change their base
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Not started - 16
Solve equations with an unknown exponent
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Not started - 17
Find and use equations of straight lines
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Not started - 18
Use parallel and perpendicular gradients
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Not started - 19
Find midpoints, distances and perpendicular bisectors
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Not started - 20
Transform power and exponential relationships to straight-line form
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Not started - 21
Recover equations from transformed straight-line graphs
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Not started - 22
Write circle equations and identify their centres
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Not started - 23
Find where a line meets a circle
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Not started - 24
Find the equation of a tangent at a circle point
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Not started - 25
Find tangents from an external point
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Not started - 26
Classify how two circles meet
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Not started - 27
Find circle intersections and their common chord
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Not started - 28
Convert angles to radians and find arc lengths
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Not started - 29
Find sector areas and perimeters
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Not started - 30
Solve compound shapes with arcs and sectors
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Not started - 31
Use all six trigonometric functions for any angle
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Not started - 32
Graph sine and cosine with amplitude and period
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Not started - 33
Sketch tangent graphs and label their asymptotes
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Not started - 34
Use the three trigonometric identities
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Not started - 35
Solve sine, cosine and tangent equations on a domain
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Not started - 36
Solve equations with secant, cosecant and cotangent
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Not started - 37
Prove trigonometric relationships using identities
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Not started - 38
Decide whether order changes a count
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Not started - 39
Use factorial notation and the zero factorial
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Not started - 40
Count ordered arrangements without repetition
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Not started - 41
Count unordered selections with combinations
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Not started - 42
Solve algebraic permutation or combination counts
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Not started - 43
Expand a positive-integer binomial
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Not started - 44
Use the general term to find a coefficient
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Not started - 45
Recognise arithmetic and geometric progressions
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Not started - 46
Find arithmetic progression terms and sums
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Not started - 47
Find geometric progression terms and sums
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Not started - 48
Test convergence and find a sum to infinity
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Not started - 49
Read and write two-dimensional vector notation
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Not started - 50
Use position vectors and find unit vectors
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Not started - 51
Add, subtract and scale vectors
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Not started - 52
Equate vector components to solve unknowns
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Not started - 53
Divide a line segment using vectors
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Not started - 54
Compose and resolve velocity vectors
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Not started - 55
Use velocity vectors to find positions and collisions
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Not started - 56
Interpret a derived function and its notation
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Not started - 57
Differentiate powers and sums of powers
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Not started - 58
Differentiate trigonometric and exponential functions
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Not started - 59
Differentiate composite functions with the chain rule
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Not started - 60
Differentiate products of functions
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Not started - 61
Differentiate quotients of functions
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Not started - 62
Find equations of tangents and normals
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Not started - 63
Find stationary points of a curve
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Not started - 64
Classify stationary points with derivative tests
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Not started - 65
Solve connected rates of change
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Not started - 66
Estimate small changes with differentials
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Not started - 67
Optimise a practical quantity with derivatives
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Not started - 68
Integrate sums of powers and reciprocals
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Not started - 69
Integrate powers and functions of ax + b
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Not started - 70
Evaluate definite integrals and areas under curves
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Not started - 71
Find areas between curves and across multiple regions
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Not started - 72
Connect displacement, velocity and acceleration
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Not started - 73
Read and sketch straight-line motion graphs
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Not started
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