IGCSE Mathematics (0580) – Core & Extended Syllabus

1. Number

  • Integers, fractions, decimals, and percentages
  • Standard form (scientific notation)
  • Ratio, proportion, and rate
  • Estimation and bounds
  • Indices and surds
  • Logarithms (Extended only)

2. Algebra & Graphs

  • Algebraic expressions and manipulation
  • Linear, quadratic, and simultaneous equations
  • Inequalities and modulus
  • Functions, inverse and composite functions (Extended only)
  • Sequences and series (including arithmetic and geometric)
  • Graphs of functions, straight lines, and curves
  • Transformations of graphs
  • Coordinate geometry (Extended only)

3. Geometry

  • Angles, lines, and polygons
  • Symmetry (line and rotational)
  • Circles, tangents, and cyclic properties
  • Pythagoras’ theorem and trigonometry
  • Mensuration (perimeter, area, and volume)
  • Vectors and transformations

4. Trigonometry

  • Basic trigonometric ratios (sine, cosine, tangent)
  • Sine and cosine rules (Extended only)
  • 3D trigonometry and bearings (Extended only)

5. Probability & Statistics

  • Probability rules and tree diagrams
  • Mean, median, mode, and range
  • Cumulative frequency and box plots
  • Histograms, bar charts, and pie charts
  • Standard deviation (Extended only)

6. Differentiation (Extended only)

  • Basic differentiation
  • Gradients and rates of change
  • Applications in motion and optimization

7. Integration (Extended only)

  • Basic integration
  • Areas under curves

Paper Structure

  • Core Level (Grades C-G)
    • Paper 1: Short-answer (35%)
    • Paper 3: Extended questions (65%)
  • Extended Level (Grades A-E)*
    • Paper 2: Short-answer (35%)
    • Paper 4: Extended questions (65%

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