Cambridge Mathematics IGCSE Extended

f(x)=ax²+bx+c
sin²θ+cos²θ=1
det(M)
∑fₓ/∑f
Cambridge IGCSE Mathematics · Extended Tier · Syllabus 0580

Cambridge Mathematics:
IGCSE Extended

Structured, Cambridge-aligned online lessons for the Cambridge IGCSE Mathematics Extended tier — covering all nine topics at full depth. Includes surds, function notation, circle theorems, cumulative frequency, and the full vector and transformation toolkit. Aligned to Cambridge IGCSE syllabus 0580, Extended tier.

Cambridge IGCSE 0580 aligned
Extended tier — all 9 topics
Grades A* to E pathway
24/7 online access

Cambridge Mathematics: IGCSE Extended at a glance

9
Topics
Extended
Tier
0580
Syllabus
24/7
Access

All Topics

Every IGCSE Extended Topic,
All in One Place

All 9 topics aligned to the Cambridge Assessment International Education IGCSE Extended syllabus — structured in syllabus order. Select the topic you need and enrol directly, or save with the full bundle.

Number

Surds, fractional and negative indices, recurring decimals, exponential growth and decay, and upper and lower bounds. Deeper numerical reasoning assessed without technology in Cambridge IGCSE Extended Paper 1.

Algebra and Graphs

Quadratic factorisation, completing the square, the quadratic formula, algebraic fractions, function notation, composite and inverse functions, and graph transformations. Advanced algebraic skills assessed heavily in Cambridge IGCSE Extended Paper 1 and Paper 2.

Coordinate Geometry

Full straight-line equations, perpendicular gradients, and interpreting graph intersections as solutions to simultaneous equations. Extended coordinate reasoning supporting graphical analysis across both Cambridge IGCSE Extended papers.

Geometry

Full circle theorems (centre/circumference angles, cyclic quadrilaterals, tangent-chord angles, alternate segment theorem), geometric proof, and multi-step angle reasoning. Circle theorem proofs are a consistent feature of Cambridge IGCSE Extended Paper 1.

Mensuration

Arc lengths, sector and segment areas, surface areas and volumes of pyramids, cones, spheres, and composite solids. Full mensuration for multi-step problems tested across both Cambridge IGCSE Extended papers.

Trigonometry

The sine rule, cosine rule, and area formula for non-right-angle triangles in 2D and 3D contexts and bearings. Essential trigonometry assessed in Cambridge IGCSE Extended Paper 2 and foundational for Additional Mathematics and AS and A Level.

Transformations, Vectors and Matrices

All four geometric transformations, combined transformations, matrix representation of transformations, 2×2 matrix inverses, and geometric proof using vectors. The full transformations, vectors, and matrices syllabus assessed in Cambridge IGCSE Extended Paper 2.

Probability

Combined event probability, tree diagrams, Venn diagrams, conditional probability, independent and mutually exclusive events with formal notation. Assessed in Cambridge IGCSE Extended Paper 2 and foundational for AS and A Level Probability and Statistics 1.

Statistics

Cumulative frequency curves, median, quartiles, interquartile range, box plots, and histograms with frequency density. Advanced statistical techniques assessed in Cambridge IGCSE Extended Paper 2 and foundational for AS and A Level Probability and Statistics 1.

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Every Cambridge Mathematics IGCSE Extended topic. One enrolment. Complete syllabus coverage.

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Cambridge IGCSE Mathematics content supports students studying within Cambridge Assessment International Education qualifications. iitutor is not affiliated with or endorsed by Cambridge Assessment International Education.