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CIE 9709 Mathematics · AS & A Level

Free Cambridge International AS & A Level Mathematics 9709 lessons

A lesson for every one of the 38 subtopics across Pure Mathematics 1, 2 and 3, Mechanics, and Probability & Statistics 1 and 2, each with worked examples and the places marks are lost. Then 433 original exam-style questions in the portal, every answer checked as you type.

Open AS & A Level Mathematics 9709 in the portal →

Papers

Paper 1: Pure Mathematics 1

1 hour 50 minutes, 75 marks.

Compulsory for AS Level and A Level.

Paper 2: Pure Mathematics 2

1 hour 15 minutes, 50 marks.

Offered only as part of AS Level.

Paper 3: Pure Mathematics 3

1 hour 50 minutes, 75 marks.

Compulsory for A Level.

Paper 4: Mechanics

1 hour 15 minutes, 50 marks.

Offered as part of AS Level and A Level.

Paper 5: Probability & Statistics 1

1 hour 15 minutes, 50 marks.

Compulsory for A Level.

Paper 6: Probability & Statistics 2

1 hour 15 minutes, 50 marks.

Offered only as part of A Level.

AS Level

Paper 1 with Paper 2, Paper 4 or Paper 5.

Paper 2 counts towards AS Level only.

Practise AS papers →

A Level

Papers 1 and 3 with Papers 4 and 5, or with Papers 5 and 6.

Paper 4 is never taken with Paper 6.

Practise A Level papers →

Paper 1: Pure Mathematics 1

1.1 · Paper 1

Quadratics

Read the lesson →1.2 · Paper 1

Functions

Read the lesson →1.3 · Paper 1

Coordinate geometry

Read the lesson →1.4 · Paper 1

Circular measure

Read the lesson →1.5 · Paper 1

Trigonometry

Read the lesson →1.6 · Paper 1

Series

Read the lesson →1.7 · Paper 1

Differentiation

Read the lesson →1.8 · Paper 1

Integration

Read the lesson →

Paper 2: Pure Mathematics 2

2.1 · Paper 2

Algebra

Read the lesson →2.2 · Paper 2

Logarithmic and exponential functions

Read the lesson →2.3 · Paper 2

Trigonometry

Read the lesson →2.4 · Paper 2

Differentiation

Read the lesson →2.5 · Paper 2

Integration

Read the lesson →2.6 · Paper 2

Numerical solution of equations

Read the lesson →

Paper 3: Pure Mathematics 3

3.1 · Paper 3

Algebra

Read the lesson →3.2 · Paper 3

Logarithmic and exponential functions

Read the lesson →3.3 · Paper 3

Trigonometry

Read the lesson →3.4 · Paper 3

Differentiation

Read the lesson →3.5 · Paper 3

Integration

Read the lesson →3.6 · Paper 3

Numerical solution of equations

Read the lesson →3.7 · Paper 3

Vectors

Read the lesson →3.8 · Paper 3

Differential equations

Read the lesson →3.9 · Paper 3

Complex numbers

Read the lesson →

Paper 4: Mechanics

4.1 · Paper 4

Forces and equilibrium

Read the lesson →4.2 · Paper 4

Kinematics of motion in a straight line

Read the lesson →4.3 · Paper 4

Momentum

Read the lesson →4.4 · Paper 4

Newton’s laws of motion

Read the lesson →4.5 · Paper 4

Energy, work and power

Read the lesson →

Paper 5: Probability & Statistics 1

5.1 · Paper 5

Representation of data

Read the lesson →5.2 · Paper 5

Permutations and combinations

Read the lesson →5.3 · Paper 5

Probability

Read the lesson →5.4 · Paper 5

Discrete random variables

Read the lesson →
5.5 · Paper 5

The normal distribution

In the portal.

Paper 6: Probability & Statistics 2

6.1 · Paper 6

The Poisson distribution

Read the lesson →6.2 · Paper 6

Linear combinations of random variables

Read the lesson →6.3 · Paper 6

Continuous random variables

Read the lesson →6.4 · Paper 6

Sampling and estimation

Read the lesson →6.5 · Paper 6

Hypothesis tests

Read the lesson →

About these lessons

Every lesson and question here is original, written to the Cambridge International AS & A Level Mathematics 9709 syllabus (2026 to 2027 and 2028 to 2030). None is a Cambridge question. The syllabus wording quoted on each lesson is Cambridge's own and is credited where it appears.

Also here: Cambridge IGCSE Mathematics 0580 lessons.