AS & A Level Maths · Syllabus 9709

AS & A Level Maths syllabus

The whole syllabus on one page, in Cambridge’s own structure. Every topic links to its revision page, where it is explained, diagrammed and then tested with self-marked exam questions. 27 topics and 216 questions, all free.

Cambridge 9709 · 27 topics · 216 exam-style questions
Assessment

What you actually sit

Read this before you revise. The paper you are entered for decides which content is examined, so the wrong revision plan wastes weeks.

PaperTimeMarksWhat it tests
Paper 1 - Pure Mathematics 11 h 50 min75 marks10 to 12 structured questions on the Pure Mathematics 1 content. 60% of the AS Level and 30% of the A Level.
Paper 3 - Pure Mathematics 31 h 50 min75 marks9 to 11 structured questions on the Pure Mathematics 3 content. 30% of the A Level only.
Paper 4 - Mechanics1 h 15 min50 marks6 to 8 structured questions on the Mechanics content. 40% of the AS Level and 20% of the A Level.
Paper 5 - Probability & Statistics 11 h 15 min50 marks6 to 8 structured questions on the Probability & Statistics 1 content. 40% of the AS Level and 20% of the A Level.

AO1 is recall and understanding. AO2 is applying it to a context. AO3 is practical and investigative skills. The mark schemes on every topic page tag each question AO1 or AO2 so you can see which one you are practising.

Topic list

Every topic, in order

Work down the list, or jump to whatever your teacher set tonight. Each link opens the topic page with the teaching, the diagrams and the questions.

Area 1 · Pure Mathematics 1

Quadratics, functions, coordinate geometry, circular measure, trigonometry, series, differentiation and integration - the AS Level pure core, examined on Paper 1.

  1. Quadratics
  2. Functions
  3. Coordinate Geometry
  4. Circular Measure
  5. Trigonometry
  6. Series
  7. Differentiation
  8. Integration

Area 2 · Pure Mathematics 3

Algebra, logarithmic and exponential functions, trigonometry, differentiation, integration, numerical solution of equations, vectors, differential equations and complex numbers - examined on Paper 3.

  1. Algebra
  2. Logarithmic and Exponential Functions
  3. Trigonometry
  4. Differentiation
  5. Integration
  6. Numerical Solution of Equations
  7. Vectors
  8. Differential Equations
  9. Complex Numbers

Area 3 · Mechanics

Forces and equilibrium, kinematics in a straight line, momentum, Newton's laws of motion, and energy, work and power - examined on Paper 4.

  1. Forces and Equilibrium
  2. Kinematics in a Straight Line
  3. Momentum
  4. Newton's Laws of Motion
  5. Energy, Work and Power

Area 4 · Probability & Statistics

Representation of data, permutations and combinations, probability, discrete random variables and the normal distribution - examined on Paper 5.

  1. Representation of Data
  2. Permutations and Combinations
  3. Probability
  4. Discrete Random Variables
  5. The Normal Distribution
Use it

Three ways to work through this syllabus

AS & A Level Maths course home

The same topics with progress tracking, so you can see what you have covered and what is left.

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Question bank

Every question on the site in one place. Filter by topic, command word or marks, then mark yourself.

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Quick 10

Ten random questions and a score breakdown by area, for when you have twenty minutes and no plan.

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