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Mathematics

Foundational mathematical discipline covering number, algebra, shape and space, and probability & statistics under the Cambridge IGCSE framework.

#mathematics#igcse-math#algebra#geometry#number-theory#statistics

Mathematics

Mathematics in the Cambridge IGCSE curriculum provides a universal framework for numerical reasoning, spatial analysis, logical deduction, and quantitative problem-solving 1.

Curriculum Branches

flowchart TD
    Core["Cambridge IGCSE Mathematics"] --> N["1. Number"]
    Core --> A["2. Algebra & Graphs"]
    Core --> S["3. Shape & Space"]
    Core --> P["4. Probability & Statistics"]

    N --> N1["Primes, Factors & Multiples"]
    N --> N2["Fractions, Decimals & Percentages"]
    N --> N3["Standard Form & Accuracy Bounds"]

    A --> A1["Equations & Inequalities"]
    A --> A2["Functions & Sequences"]
    A --> A3["Coordinate Geometry & Graphs"]

    S --> S1["Geometrical Terms & Circle Theorems"]
    S --> S2["Trigonometry (2D & 3D)"]
    S --> S3["Perimeter, Area, Volume & Vectors"]

    P --> P1["Theoretical & Relative Frequency"]
    P --> P2["Tree & Venn Diagrams"]
    P --> P3["Averages, Dispersion & Cumulative Curves"]

Core Domains

  1. Number: Structure of real numbers, prime factorisation, fractions, percentages, ratios, bounds, and standard form (A×10nA \times 10^n).
  2. Algebra & Sequences: Manipulation of algebraic expressions, solution of linear and quadratic equations, simultaneous systems, inequalities, functions, and graph transformations.
  3. Shape, Space & Trigonometry: Euclidean geometry, circle theorems, right-angled and non-right-angled trigonometry (sin,cos,tan\sin, \cos, \tan, sine rule, cosine rule), mensuration (perimeter, area, volume), and 2D vectors.
  4. Probability & Statistics: Experimental and theoretical probability, sample space diagrams, tree diagrams, statistical measures of location and spread, histograms, and cumulative frequency curves.

Footnotes

  1. Cambridge IGCSE Mathematics (0580) Syllabus - Official curriculum framework and assessment objectives for high-school mathematics.