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A-Level Maths Topics – What You Need to Know to Ace the Exam

A-Level Maths is a challenging but rewarding subject, offering students the chance to deepen their understanding of mathematical concepts. From pure mathematics to applied maths, this course is designed to develop analytical and problem-solving skills. In this guide, we’ll explore the key topics in A-Level Maths, as well as strategies for effective revision.

A-Level Maths Topics

1. Mathematical Argument, Language, and Proof

2. Mathematical Problem Solving

3. Mathematical Modelling

4. Proof

5. Algebra and Functions

6. Coordinate Geometry in the (x,y) Plane

7. Sequences and Series

8. Trigonometry

9. Exponentials and Logarithms

10. Differentiation

11. Integration

12. Numerical Methods

13. Vectors

14. Statistical Sampling

15. Data Presentation and Interpretation

16. Probability

17. Statistical Distributions

18. Statistical Hypothesis Testing

19. Quantities and Units in Mechanics

20. Kinematics

21. Forces and Newton’s Laws

22. Moments

Further Maths A-Level Topics

1. Complex Numbers

2. Further Algebra and Functions

3. Further Calculus

4. Further Vectors

5. Polar Coordinates

6. Hyperbolic Functions

7. Differential Equations

How to Revise for A-Level Maths?

Here are some steps you can take towards effective A-level Maths revision

1. Understand the Syllabus and Exam Structure

Familiarise yourself with the A-Level Maths and Further Maths syllabi. Know the topics covered under each paper and their weightage in the exam.

2. Utilise the A-Level Maths Formula Sheet

Essential for revision, and much like GCSEC formulae, A-level formula sheet also helps you memorise key formulas and understand their applications. Regularly referring to the maths A-Level formula sheet can significantly improve your problem-solving speed.

3. Practice with A-Level Maths Past Papers

Past papers crucial for understanding the pattern of questions, time management, and getting accustomed to the level of difficulty. Practise both A-Level Maths and Further Maths past papers to gain confidence.

4. Use A-level Maths Calculator Effectively

For sections allowing calculators, ensure you’re familiar with the A-Level Maths calculator functions. Practising with the same model you’ll use in the exam is advisable.

5. Seek Help When Needed

If certain topics are challenging, hiring A-level maths tutor or go to group study sessions. Discussing problems with peers or a tutor can provide new perspectives and solutions.

6. Health and Well-being

Take care of your mental and physical health. Regular breaks, balanced nutrition, and adequate sleep are vital during exam preparation.

Make sure you keep a checklist for your revision topics as they can become quite extensive, this is an example of what you A-level maths topics checklist could look like


Success in A-Level Maths requires a blend of thorough understanding, consistent practice, and effective revision strategies. By focusing on each topic, utilising past papers, and revising regularly with tools like the formula sheet, you’ll be well on your way to acing your A-Level Maths exams. Remember, understanding concepts is key – not just memorising them. Good luck!


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