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Cambridge
9709
2026–2027
Paper 1
Paper 1
Pure Mathematics 1
Quadratics
Completing the square and the vertex · Solving quadratic equations · The discriminant and the nature of roots · Linear and quadratic inequalities · Simultaneous equations and lines meeting curves
5 subtopic lessons
Functions
Functions, domain and range · Composite functions · One-one and inverse functions · Graphs of a function and its inverse · Transformations of graphs
5 subtopic lessons
Coordinate geometry
Gradient, length, midpoint and equations of lines · Parallel and perpendicular lines · The equation of a circle · Tangents, chords and intersections
4 subtopic lessons
Circular measure
Radians · Arc length and sector area · Segments, chords and composite shapes
3 subtopic lessons
Trigonometry
Exact values and the unit circle · Graphs and transformations · Inverse trigonometric functions · Trigonometric identities · Solving trigonometric equations
5 subtopic lessons
Series
Binomial expansion · Arithmetic progressions · Geometric progressions · Sum to infinity
4 subtopic lessons
Differentiation
Gradients and the power rule · The chain rule · Tangents and normals · Stationary points and increasing functions · Optimisation and rates of change
5 subtopic lessons
Integration
Indefinite integration · Integrating (ax + b)ⁿ · Definite integrals · Areas under and between curves · Volumes of revolution
5 subtopic lessons