Number

Integers, fractions, percentages, ratio, standard form, indices, compound interest, and estimation. Foundational numerical competencies assessed across both Cambridge IGCSE International Core examination papers.

Algebra

Forming and simplifying expressions, solving linear and simultaneous equations, factorising, nth-term sequences, and linear inequalities. Algebraic foundations assessed in both Cambridge IGCSE International Core examination papers.

Functions

Function notation, domain and range, composite and inverse functions, and technology-supported analysis of linear, quadratic, exponential, and trigonometric graphs. A central feature of the Cambridge IGCSE International Mathematics syllabus.

Coordinate Geometry

Distance, midpoints, gradient, equations of straight lines, and interpretation of gradients in practical contexts. Coordinate reasoning connecting algebra to graphs in both Cambridge IGCSE International Core examination papers.

Geometry

Angle properties of lines, triangles, quadrilaterals, and polygons, parallel lines, bearings, symmetry, similar and congruent shapes, and geometric constructions. Core geometric reasoning underpinning Trigonometry and Mensuration.

Trigonometry

Pythagoras’ theorem, right-angle trigonometry (SOH CAH TOA), angles of elevation and depression, and 2D and 3D applications. Trigonometric skills assessed in both Cambridge IGCSE International Core examination papers.

Mensuration

Perimeters and areas of 2D shapes including circles and sectors; surface areas and volumes of prisms, cylinders, pyramids, cones, and spheres. Practical measurement assessed in both Cambridge IGCSE International Core examination papers.

Sets

Set notation (elements, subsets, complement, union, intersection) and Venn diagrams for two and three sets. The formal set theory component that distinguishes Cambridge IGCSE International Mathematics from the standard 0580 syllabus.

Probability

Theoretical and experimental probability, Venn diagrams, tree diagrams, and set notation applied to probability — P(A ∪ B), P(A ∩ B), and conditional probability P(A|B). Assessed in Cambridge IGCSE International Core Paper 2.

Statistics

Frequency tables, bar charts, pie charts, scatter diagrams, mean, median, mode, range, and correlation. Statistical reasoning with technology support assessed in Cambridge IGCSE International Core Paper 2.

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