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Cambridge AS & A Level Mathematics

Cambridge International A Level Mathematics develops a set of transferable skills. These include the skill of working with mathematical information, as well as the ability to think logically and independently, consider accuracy, model situations mathematically, analyse results and reflect on findings.

Learners can apply these skills across a wide range of subjects and these skills equip them well for progression to higher education or directly into employment.

Aims of the Syllabus

The aims describe the purposes of a course based on this syllabus.
The aims are to enable students to-
• Develop their mathematical knowledge and skills in a way which encourages confidence and provides satisfaction and enjoyment
• Develop an understanding of mathematical principles and an appreciation of mathematics as a logical and coherent subject
• Acquire a range of mathematical skills, particularly those which will enable them to use applications of mathematics in the context of everyday situations and of other subjects they may be studying
• Develop the ability to analyse problems logically
• Recognise when and how a situation may be represented mathematically, identify and interpret relevant factors and select an appropriate mathematical method to solve the problem
• Use mathematics as a means of communication with emphasis on the use of clear expression
• Acquire the mathematical background necessary for further study in mathematics or related subjects.

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Syllabus

*Pure Mathematics

  1. 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

  2. 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

3.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

Mechanics

  1. PAPER 4
    4.1 Forces and equilibrium
    4.2 Kinematics of motion in a straight line
    4.3 Momentum
    4.4 Newton’s laws of motion
    4.5 Energy, work and power

Probability and Statistics

  1. PAPER 5
    5.1 Representation of data
    5.2 Permutations and combinations
    5.3 Probability
    5.4 Discrete random variables
    5.5 The normal distribution

  2. PAPER 6
    6.1 The Poisson distribution
    6.2 Linear combinations of random variables
    6.3 Continuous random variables
    6.4 Sampling and estimation
    6.5 Hypothesis tests

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Objectives of the Assessment

The assessment objectives (AOs) are-

  1. Knowledge and understanding
    • Show understanding of relevant mathematical concepts, terminology and notation
    • Recall accurately and use appropriate mathematical manipulative techniques

  2. Application and communication
    • Recognise the appropriate mathematical procedure for a given situation
    • Apply appropriate combinations of mathematical skills and techniques in solving problems
    • Present relevant mathematical work, and communicate corresponding conclusions, in a clear and logical way

Assessment

PAPER 1
Pure Mathematics 1
10 to 12 structured questions based on the Pure Mathematics 1 subject content
Written examination & Externally assessed. Compulsory for AS Level and A Level
60% of the AS Level
30% of the A Level
1 hour 50 minutes
75 marks

PAPER 2
Pure Mathematics 2
6 to 8 structured questions based on the Pure Mathematics 2 subject content
Written examination & Externally assessed. Offered only as part of AS Level
40% of the AS Level
1 hour 15 minutes
50 marks

PAPER 3
Pure Mathematics 3
9 to 11 structured questions based on the
Pure Mathematics 3 subject content
Written examination & Externally assessed. Compulsory for A Level
30% of the A Level only
1 hour 50 minutes
75 marks

PAPER 4
Mechanics
6 to 8 structured questions based on the Mechanics subject content
Written examination & Externally assessed. Offered as part of AS Level or A Level
40% of the AS Level
20% of the A Level
1 hour 15 minutes
50 marks

PAPER 5
Probability & Statistics 1
6 to 8 structured questions based on the Probability & Statistics 1 subject content
Written examination. Compulsory for A Level
Externally assessed
40% of the AS Level
20% of the A Level
1 hour 15 minutes
50 marks

PAPER 6
Probability & Statistics 2
6 to 8 structured questions based on the Probability & Statistics 2 subject content
Written examination & Externally assessed. Offered only as part of A Level
20% of the A Level only
1 hour 15 minutes
50 marks

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Cambridge AS & A Level Mathematics
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