IGCSE & GCSE

IGCSE and GCSE Mathematics

IGCSE and GCSE qualifications provide the essential mathematical foundation for further study. Strong performance at this level opens pathways to A-Levels, IB, and university preparation. With the right guidance, every student can build the confidence and skills needed to succeed.

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IGCSE Mathematics (Cambridge)

Cambridge IGCSE Mathematics (0580) is the most widely recognized international qualification at this level. The syllabus is divided into two tiers, each with distinct expectations.

Core Curriculum (Grades C-G):

• Number and Arithmetic: Operations, fractions, decimals, and percentages
• Algebra Fundamentals: Expressions, simple equations, and sequences
• Geometry and Mensuration: Shapes, area, volume, and angle properties
• Coordinate Geometry: Plotting points and straight-line graphs
• Probability and Statistics: Data handling and basic probability

Extended Curriculum (Grades A-E):* All Core content plus:

• Advanced Algebra: Simultaneous equations, quadratics, and inequalities
• Functions and Graphs: Domain, range, composite, and inverse functions
• Trigonometry: Sine rule, cosine rule, and 3D problems
• Calculus Introduction: Differentiation basics and gradient functions
• Vectors and Transformations: Vector notation and geometric transformations

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IGCSE Additional Mathematics (0606)

For students planning to take A-Level or IB Higher Level Mathematics, Additional Mathematics provides essential preparation:

• Advanced Algebra and Polynomials: Factor theorem, remainder theorem, and partial fractions
• Logarithmic and Exponential Functions: Laws of logarithms and growth models
• Trigonometric Functions and Identities: Graphs, equations, and proofs
• Coordinate Geometry of Circles: Equations, tangents, and intersection problems
• Differentiation and Integration: Techniques, applications, and area under curves
• Kinematics: Displacement, velocity, and acceleration

This course significantly smooths the transition to advanced mathematics study and gives students a head start at the next level.

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GCSE Mathematics (UK)

For students following the UK GCSE curriculum, preparation is tailored to the chosen tier.

Foundation Tier (Grades 1-5): Accessible content with a focus on practical applications, number fluency, and core problem-solving skills.

Higher Tier (Grades 4-9): Full content including:

• Algebraic Fractions and Surds: Simplification and rationalization
• Quadratic Equations and Graphs: Factoring, completing the square, and the quadratic formula
• Trigonometry in 3D: Applying sine, cosine, and tangent to three-dimensional problems
• Vectors: Notation, operations, and geometric proofs
• Probability Calculations: Combined events, tree diagrams, and conditional probability

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Achieving Top Grades

Target	Strategy
Grade 8-9 (A)*	Master challenging topics, perfect exam technique, and tackle extension questions
Grade 6-7 (A-B)	Build solid understanding of Extended content through consistent practice
Grade 4-5 (C)	Strengthen Core knowledge and focus on high-frequency exam topics

I work with students at all levels, from those building confidence with the basics to those targeting the highest grades.