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Cambridge IGCSE · Revision notes

Additional Mathematics revision notes

Topic by topic notes, worked examples and practice questions for every topic in the Cambridge IGCSE and O Level Additional Mathematics syllabus.

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Functions

  1. 1.Functions and inversesDomain and range, Composite functions, Inverse functions, Modulus functions

Quadratic functions

  1. 1.Quadratic structureCompleting the square, Discriminant, Quadratic graphs

Equations, inequalities and graphs

  1. 1.Equations and inequalitiesPolynomial inequalities, Modulus equations, Graphical solutions

Indices and surds

  1. 1.Indices and surdsIndex laws, Fractional powers, Surd arithmetic, Rationalising denominators

Factors of polynomials

  1. 1.Polynomial factorsRemainder theorem, Factor theorem, Cubic equations

Simultaneous equations

  1. 1.Simultaneous equationsLinear systems, Linear and quadratic systems, Intersection interpretation

Logarithmic and exponential functions

  1. 1.Exponentials and logarithmsLogarithm laws, Exponential equations, Natural logarithms, Growth models

Straight line graphs

  1. 1.Lines and circlesLine equations, Parallel and perpendicular lines, Linearisation, Circle geometry

Circular measure

  1. 1.Radians and sectorsRadian measure, Arc length, Sector area, Segments

Trigonometry

  1. 1.Trigonometric functionsGraphs and identities, Trigonometric equations, Compound angles, Triangle formulae

Permutations and combinations

  1. 1.Counting arrangementsFactorials, Permutations, Combinations, Restricted selection

Series

  1. 1.Sequences and expansionsArithmetic progressions, Geometric progressions, Infinite sums, Binomial expansion

Vectors in two dimensions

  1. 1.Vector geometryComponents and magnitude, Position vectors, Division of a line, Geometric proofs

Calculus

  1. 1.Differentiation and integrationDifferentiation rules, Stationary points and rates, Integration and areas, Kinematics

These are Bright Minds revision notes and practice questions in Cambridge style, not official Cambridge International materials. Always check the syllabus year with your school.