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Study CAIE A Level Mathematics (9709) Online

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A Level Mathematics Topics

Browse all 6 topics covered across AS and A2 Level, with resources structured to guide your learning throughout the year.

Paper 1
1.1
Quadratics
1.2
Functions
1.3
Coordinate geometry
1.4
Circular measure
1.5
Trigonometry
1.6
Series
1.7
Differentiation
1.8
Integration
Paper 2
2.1
Algebra
2.2
Logarithmic and exponential functions
2.3
Trigonometry
2.4
Differentiation
2.5
Integration
2.6
Numerical solution of equations
Paper 3
3.1
Algebra
3.2
Logarithmic and exponential functions
3.3
Trigonometry
3.4
Differentiation
3.5
Integration
3.6
Numerical solution of equations
3.7
Vectors
3.8
Differential equations
3.9
Complex numbers

AS Level candidates also study practical skills.

Expert-Made A Level mathematics Study Resources

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Revision Notes

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Mock Exams

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Testpapers

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Past Papers

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Know your Mastery Level with Diagnostic Reports

Track your progress, topic by topic, with personalised Diagnostic Reports, to identify your knowledge gaps and guide you towards Complete Mastery.

Inadequate Mastery

Denotes significant gaps in understanding of key concepts within the topic.

Adequate Mastery

Indicates a solid understanding of the topic, with some areas still requiring improvement.

Complete Mastery

Shows a strong command of the topic and exam-level readiness.

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A Level Mathematics Exam Structure

Learn how Cambridge A Level Mathematics (9709) is assessed across AS and A2 Level.

Paper 1

Pure Mathematics 1

Paper 2

Pure Mathematics 2

Paper 3

Pure Mathematics 3

Paper 4

Mechanics

Paper 5

Probability & Statistics 1

Paper 6

Probability & Statistics 2

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Frequently Asked Questions (FAQs)

Extremely important. Cambridge Mathematics exams reward clear method and correct notation just as much as the final answer, and many marks are lost simply from skipping working steps or misreading what a question is asking for. Generating personalised Testpapers filtered by paper type and topic, then reviewing your answers against official Mark Schemes, is one of the most effective ways to close this gap before exam day.

It has 6 papers: Pure Mathematics 1, 2, and 3, Mechanics, Probability & Statistics 1, and Probability & Statistics 2. You don’t necessarily need to take all 6; Cambridge allows different combinations depending on whether you’re aiming for an AS Level or full A Level qualification, and depending on which optional papers your school or exam centre offers alongside the compulsory Pure Mathematics papers. It’s worth checking with your school or exam centre about which combination you’re registered for.

Pure Mathematics 1 covers foundational AS-level topics like quadratics, coordinate geometry, and an introduction to differentiation and integration. Pure Mathematics 2 builds on this with logarithmic functions and numerical methods, while Pure Mathematics 3 is the most advanced, introducing vectors, differential equations, and complex numbers on top of deeper trigonometry and calculus. Each paper assumes solid command of the one before it, so gaps in Pure Mathematics 1 tend to resurface as bigger problems in Pure Mathematics 3.

There’s no fixed order required by Cambridge, but many students find it easier to start with whichever applies concepts they’re already comfortable with. Mechanics relies heavily on Pure Mathematics skills like differentiation, integration, and vectors applied to physical scenarios, while Probability & Statistics 1 and 2 involve more standalone concepts like distributions and hypothesis testing. If you’re stronger with calculus-based problem solving, Mechanics may feel more intuitive; if you prefer working with data and probability reasoning, starting with Statistics could be a better fit.

The Freemium Plan gives limited access to Interactive Videos and Diagnostic Reports for introductory chapters only. The Premium Plan unlocks all 6 papers’ worth of content, including full access to Interactive Videos, downloadable Revision Notes, Diagnostic Reports for every chapter, and additional Tutor Credits to generate Testpapers or get feedback from a Subject Tutor on your working.