Cambridge International AS and A Level Mathematics builds on the skills acquired at Cambridge IGCSE (or equivalent) level.

Courtney College offers students the opportunity to take Pure Mathematics only (AS Level only) or Pure Mathematics and Mechanics (AS Level or A Level).

## AS Level Mathematics

At the end of a two year course, AS Level candidates sit the following Cambridge International examinations:

**Paper 1: Pure Mathematics 1 (P1)**- 1 hour 45 minutes
- About 10 shorter and longer questions
- 75 marks weighted at 60% of total

plus one of the following papers:

**Paper 2: Pure Mathematics 2 (P2)**- 1 hour 15 minutes
- About 7 shorter and longer questions
- 50 marks weighted at 40% of total

- OR
**Paper 4: Mechanics 1 (M1)**- 1 hour 15 minutes
- About 7 shorter and longer questions
- 50 marks weighted at 40% of total

## A Level Mathematics

At the end of a two year course, A Level candidates sit the following Cambridge International examinations:

**Paper 1: Pure Mathematics 1 (P1)**- 1 hour 45 minutes
- About 10 shorter and longer questions
- 75 marks weighted at 30% of total

**Paper 3: Pure Mathematics 3 (P3)**- 1 hour 45 minutes
- About 10 shorter and longer questions
- 75 marks weighted at 30% of total

**Paper 4: Mechanics 1 (M1)**- 1 hour 15 minutes
- About 7 shorter and longer questions
- 50 marks weighted at 20% of total

**Paper 5: Mechanics 2 (M2)**- 1 hour 15 minutes
- About 7 shorter and longer questions
- 50 marks weighted at 20% of total

## Textbooks

#### Cambridge International AS & A Level Mathematics Probability & Statistics 1

#### Cambridge International AS & A Level Mathematics Probability & Statistics 1 Question & Workbook

#### Cambridge International AS & A Level Mathematics Pure Mathematics 1 Question & Workbook

#### Cambridge International AS & A Level Mathematics Pure Mathematics 2 Question & Workbook

#### Cambridge International AS & A Level Mathematics Pure Mathematics 3 Question & Workbook

## Syllabus Outline

As well as demonstrating skill in the appropriate techniques, candidates will be expected to apply their knowledge in the solution of problems. Individual questions set may involve ideas and methods from more than one section of the relevant content list.

For all units, knowledge of the content of Cambridge O Level/Cambridge IGCSE Mathematics is assumed.

### Unit P1: Pure Mathematics 1 (Paper 1)

- Quadratics
- Functions
- Coordinate geometry
- Circular measure
- Trigonometry
- Vectors
- Series
- Differentiation
- Integration

### Unit P2: Pure Mathematics 2 (Paper 2)

Knowledge of the content of unit P1 is assumed, and candidates may be required to demonstrate such knowledge in answering questions.

- Algebra
- Logarithmic and exponential functions
- Trigonometry
- Differentiation
- Integration
- Numerical solution of equations

### Unit P3: Pure Mathematics 3 (Paper 3)

Knowledge of the content of unit P1 is assumed, and candidates may be required to demonstrate such knowledge in answering questions.

- Algebra
- Logarithmic and exponential functions
- Trigonometry
- Differentiation
- Integration
- Numerical solution of equations
- Vectors
- Differential equations
- Complex numbers

### Unit M1: Mechanics 1 (Paper 4)

- Forces and equilibrium
- Kinematics of motion in a straight line
- Newton’s laws of motion
- Energy, work and power

### Unit M2: Mechanics 2 (Paper 5)

Knowledge of the content of unit M1 is assumed, and candidates may be required to demonstrate such knowledge in answering questions.

- Motion of a projectile
- Equilibrium of a rigid body
- Uniform motion in a circle
- Hooke’s law
- Linear motion under a variable force

For additional information about the Cambridge International AS and A Level Mathematics course, copies of the full syllabus and examples of question papers, please refer to the CIE website.