Further Maths GCSE AQA Revision Tips and Resources

Further maths GCSE is designed for students who want to study mathematics beyond the Higher Tier GCSE (grades 4 – 9) and excel at A-level mathematics. The key topics covered in the syllabus include advanced algebra, calculus, matrix transformations, and geometry. Further Maths GCSE is more complex and comprehensive than Maths GCSE. This article explores the assessment structure and provides tips and strategies for Further Maths GCSE AQA revision:

• Proof formulas.
• Try teaching concepts to others.
• Create mind maps and diagrams.
• Look for connections between different concepts.
• Summarise key points in your own words.
• Challenge yourself with diverse types of problems and questions.
• Track your progress, which differs from how many hours you have revised.
• Ask for help from your teacher or Further Maths tutor.
• Aim for a healthy study-life balance.
• Get a whole night of sleep every night.
• Find study groups or partners from your school or local library. 

Overview of the AQA Further Maths GCSE Syllabus

Further Maths GCSE is an additional GCSE mathematics qualification, not a replacement. It offers stretch and challenge opportunities based on the Key Stage 4 curriculum. It covers the areas of algebra and geometry, which are necessary to further study the subject in greater depth and extent. This qualification emphasises higher-order technical proficiency and problem-solving skills.

The Syllabus Structure of Further Maths 

1. Number: advanced calculations, numbers, decimals, fractions, percentages, ratios, and proportions.
2. Algebra: More complex algebraic concepts, function notation, domain and range, transformations, inequalities, and complex numbers.
3. Geometry (2 dimensions only): Analysing shapes and their properties using the Cartesian coordinate system.
4. Calculus: Introduction of the fundamental concepts of calculus, including differentiation and integration.
5. Matrix Transformations: Provides an understanding of how matrices can transform geometric shapes.
6. Geometry: Expands on geometric knowledge, covering topics like circles, vectors, and 3D geometry.

GCSE maths revision sheets cover the necessary areas and topics that match the official curriculum and are helpful student resources. Read on to find out more: GCSE revision sheets maths.

• Assessment Objectives and How They Are Weighted

The Further Maths GCSE exam is a linear exam with two question papers. Each paper takes 50% of the AQA Level 2 Certificate in Further Mathematics assessment with 80 marks and takes 1 hour and 45 minutes to complete. Besides the questions, the only difference is that paper 1 is a non-calculator, while paper 2 needs a calculator. This table will give you an insight into the weighting and assessment objectives: 

Further Maths GCSE Assessment Objectives and Weighting
Assessment Objective	Weighting	Description
Communicating and Applying in Mathematics	35%	communicating mathematical ideas clearly and applying concepts to solve problems.
Reasoning, Problem-Solving and Proof	35%	Logical reasoning, analysing problems, and constructing arguments using mathematical knowledge.
Modelling and Interpretation	30%	Translating real-world problems into mathematical models and interpreting the results critically.

The Most Challenging Topics of Further Maths GCSE 

The table below shows the most challenging topics of further maths GCSE, along with tips for effective revision. 

Further Maths GCSE Challenges
Topic	Challenges	Tips
Algebra	Abstract concepts  Complex numbers Function notation Simultaneous equations Factor theorem	Practice regularly, focus on understanding
Trigonometry	Trigonometric identities and equations Applications	Practice with formulas, visualize concepts
Calculus	New concepts Abstract nature  Differentiation	Understand underlying principles, practice with differentiation and integration
Matrices	Transformations	Practice matrix operations, focus on spatial reasoning

Study Tips and Resources for Further Maths Effective Revision

Further maths, one of the most challenging GCSE exams, demands effective revision and practice. However, the key to successful studying is understanding your unique learning style. This self-awareness can greatly enhance your revision and practice techniques, improving exam performance. 

If you have strong problem-solving skills, focusing on understanding concepts deeply and going beyond memorisation and formulas helps you grasp the underlying principles and reasoning behind each topic. If problem-solving is not your strongest trait, analysing past papers can help you excel at further maths GCSE. This will also help you understand exam structure and question types. 

Below are helpful tips:

• Proof formulas.
• Explain concepts to others.
• Create mind maps and diagrams.
• Look for connections between different concepts.
• Summarise key points in your own words.
• Challenge yourself with diverse types of problems and questions.
• Track your progress, which differs from how many hours you have revised.
• To save time and energy, ask for help from your teacher or further maths tutor. 
• Familiarise yourself with the Formulae Sheet.

This YouTube video by Primrose Kitten Academy has valuable points and practices for The Whole of AQA Level 2 Further Maths | Revision for GCSE. 

List of Useful Resources for Further Maths GCSE AQA Revision

Below are the top resources for further maths GCSE AQA revision. Choosing the resources that align with your weaknesses, learning goals, and style is essential.  

Textbooks

1. CGP

At CGP, you will find excellent exam practice books, revision cards, and other helpful resources for further maths GCSE AQA revision. 

2. Hodder

Hodder Education has valuable textbooks and revision guides for further maths GCSE revision. 

3. AQA Level 2 Certificate Further Maths Complete Study and Practice (5-9)

This textbook by Collins is a great help for those with high grades with practice in grades 5-9. The book also covers assessment with up-to-date exam-style questions with marks shown.

Online Courses and Tutorials

1. Dr. Frost Maths

This website offers video tutorials and practice AQA further maths questions. Dr. Frost Maths is an easy-to-use platform with a virtual keyboard and mathematic symbols for answering questions. 

2. Ostado

Ostado is a tutoring platform created to help students all around the UK excel at GCSE and A-level exams. You will have access to the best online tutors for Further Maths GCSE to help you build exam techniques and problem-solving skills and learn the best revision techniques based on your learning style.

3. Mr. Barton Maths

Mr Barton Maths offers comprehensive and interactive further maths lessons. You will find past AQA Further Maths papers, video guides, and PowerPoint presentations on all topics, including functions and factor theorems.

 

Further Maths Past Papers

1. 1st Class Maths

This website offers video lessons and questions for Further Mathes GCSE topics. The lessons and explanations of 1st Class Maths are straightforward. However, most questions are aimed at further practice, not past-paper questions. 

2. AQA Website

One of the best resources for further maths GCSE revision is the AQA website. In addition to past papers and marking schemes, the website provides detailed information about the syllabus and assessment criteria.

Choosing the right resources is essential while revising for GCSEs to help you save time and achieve the best results. What are the best GCSE Maths Revision Websites? Read on to find out more. 

Timed Practice Exercises for Further Maths GCSE Revision

Simulating exam experience with timed practising past papers helps you get comfortable with the structure and time limits of the real exam. This way, you will also identify areas for improvement while practising applying your knowledge and skills. Here are helpful strategies for effective time management during practice exercises:

1. Aim to complete a full paper or a specific section similar to the exam format.
2. If you’re struggling with a question, move on and return later if you have extra time.
3. Avoid spending too much time on a single question.
4. Remember, variety is key; practise easy and challenging questions. 
5. Minimise distractions while practising.

Advice on Managing Exam Stress and Staying Motivated

Anxiety and exam stress are common among GCSE students. Managing stress leads to a smoother revision period and more appealing exam results. Strategies such as realistic goal setting and planning for all topics are helpful. Setting a structured revision plan is crucial, which means realistic time for breaks and a healthy lifestyle. Here are strategies to help you overcome exam stress: 

• Avoid multitasking
• Prioritise maths topics and focus on the most important topics first.
• Try deep breathing to calm your body and mind when feeling overwhelmed.
• Get a whole night of sleep every night.
• Find study groups or partners from your school or library. 

Further maths GCSE is an additional GCSE exam for advanced students and those who wish to pursue mathematics-related fields. Compared to maths GCSE, further maths is more challenging and has additional topics. Pupils can get the best results with the right and tailored strategies and revision techniques, such as timed practice papers. 

FAQ | Maths GCSE AQA Revision

• How do you revise for maths in GCSE?
  1. Figure out how much time you have to revise.
  2. Craft a structured revision plan.
  3. Aim for a healthy study-life balance.
  4. Focus on your weaknesses.
  5. Use past papers.
  6. Ask for help.
• What is the best website for GCSE maths revision?
  The official website of your exam board, BBC Bitesize, and Maths4Everyone are great resources.