Nature of the Subject

This course aims to further develop students’ mathematical reasoning and understanding. 

The skills that students learn on this course can then be applied across a wide range of subjects. 

Students will gain confidence in applying their skills, especially when confronted with new situations.

Syllabus & Content

In Year 12, students will study 2 units: Pure 1 and Probability & Statistics. The topics covered are as follows:

Pure 1

1. Quadratics, 2. Functions, 3. Coordinate geometry, 4. Circular measure, 5. Trigonometry, 6. Series

7. Differentiation, 8. Integration

Probability & Statistics

1. Representations of data, 2. Permutations & Combinations, 3. Probability, 4. Discrete random variables, 5. The Normal Distribution

In Year 13, students will study 2 units: Pure 3 and either Probability & Statistics 2 or Mechanics. The topics covered are as follows:

Pure 3

1. Algebra, 2. Logarithmic & exponential functions, 3. Trigonometry, 4. Differentiation, 5. Integration, 6. Numerical solutions of equations, 7. Vectors, 8. Differential equations, 9. Complex numbers

Probability & Statistics 2

1. Poisson distribution, 2. Linear combinations of random variables, 3. Continuous random variables, 4. Sampling & estimation, 5. Hypothesis tests

Mechanics

1. Forces and equilibrium, 2. Kinematics, 3. Momentum, 4. Newton’s laws of motion, 5. Energy, work & power

More detailed information about these topics can be found in the syllabus.

Assessment

In Year 12, students sit 2 exams.

Paper 1 – Pure Mathematics 1

This exam is 1hr 50 mins and makes up 30% of the A level.

Paper 5 – Probability & Statistics 1

This paper is 1hr 15 mins and makes up 20% of the A level.

In Year 13, students sit 2 further exams.

Paper 3 – Pure Mathematics 3

This exam is 1hr 50 mins and makes up 30% of the A level.

Students will have studied one of the following components and will only sit 1 of the following papers.

Paper 4 – Mechanics

This paper is 1hr 15 mins and makes up 20% of the A level.

OR

Paper 6 – Probability & Statistics 2

This paper is 1hr 15 mins and makes up 20% of the A level. 

Teacher Introduction

Students studying Mathematics at A level will be able to think logically and independently as well as be able to model real life situations mathematically.

Mathematics allows you to hone your ability to solve mathematical problems as well as abstract and scientific ones too. These problem-solving skills can then be applied to many different areas of your life. You’ll also learn how to analyse patterns, structures and problems, which will in turn, help you to develop a critical eye. This will come in handy in both further study and future careers. Finally, your logical abilities will be developed so that you will have tools needed to tackle a number of diverse areas, from managing your finances to planning projects.

Studying mathematics also has a number of advantages in the careers market, and gives you a number of job opportunities. You may even find that you’ll use your skills in totally unrelated fields. Some exciting careers that could be open to you if you study mathematics include:

• Construction/Architecture

• Medicine or Scientific Research

• Teaching and Tutoring

• Games Development