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Pure Mathematics 3-4

O-Level (Forms 1–4)

Browse all 10 syllabus topics, key exam takeaways, and practice quiz banks

Real Exam Practice

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Syllabus Topics (10)

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Simplifying expressions, laws of indices, and algebraic manipulation techniques.

Basic rules of differentiation, gradients of curves, and applications.

Indefinite and definite integrals, area under curves, and basic integration techniques.

Study of points, lines, and geometric relationships in a plane using coordinates.

Definition and types of functions, function notation, and graphical representation.

Solving linear and quadratic equations using factoring, completing the square, and the quadratic formula.

Exploration of rational and irrational numbers, surds, and number operations.

Arithmetic and geometric progressions, including nth terms and sums.

Understanding of set concepts, set notation, Venn diagrams, and operations on sets.

Introduction to trigonometric ratios, identities, and solving trigonometric equations.