GCSE

Further Maths

Quadratic formula with "Further Mathematics" text on a dark blue background

Further Maths GCSE: FAQs & Suitability Checker

Further Maths GCSE Suitability Checker

Answer a few questions to see if Further Maths GCSE might be a good fit for you:

Answer the questions above and click "Check Suitability" for a suggestion.

Understanding Further Maths GCSE

What is Further Maths GCSE? Is it a real GCSE?

Yes, Further Maths GCSE is a real qualification. It's formally known as a Level 2 Certificate in Further Mathematics. While sometimes referred to as "Further Maths GCSE," its official title might vary slightly by exam board (e.g., AQA Level 2 Certificate in Further Mathematics).

It is designed for students who are excelling in their standard GCSE Mathematics and want to explore more advanced mathematical concepts. Key characteristics include:

  • More Advanced Content: It covers topics beyond the standard GCSE Mathematics syllabus, often bridging the gap towards A-Level Mathematics. This can include more complex algebra, calculus (differentiation/integration basics), matrices, trigonometry, and number theory.
  • Higher Level of Challenge: The problems are generally more demanding and require a deeper level of understanding and problem-solving skills.
  • Preparation for A-Level: It provides an excellent foundation for students planning to study Mathematics or Further Mathematics at A-Level.
  • Separate Qualification: It is a distinct qualification from the standard GCSE Mathematics and is graded separately (often using the 9-1 grading scale or A*-C depending on the specific board and time it was taken).
  • Not Universally Offered: Not all schools offer Further Maths GCSE. It's typically offered to students who show a strong aptitude and interest in mathematics.
How hard is Further Maths GCSE?

Further Maths GCSE is generally considered significantly more challenging than the standard GCSE Mathematics course.

  • Requires Strong Foundation: Students need a very solid understanding of all concepts covered in the standard GCSE Maths, particularly at the Higher Tier.
  • Abstract Concepts: It introduces more abstract mathematical ideas and requires a higher level of mathematical maturity.
  • Complex Problem Solving: The questions often involve multiple steps and require sophisticated problem-solving strategies.
  • Faster Pace: The content might be covered at a quicker pace, assuming a high level of prior understanding.

However, "hard" is subjective. For students who genuinely enjoy mathematics, are high-achievers in the subject, and are willing to put in the extra effort, it can be a rewarding and stimulating challenge rather than an overwhelming one. Success often depends on strong foundational skills, good work ethic, and a genuine interest in the subject.

Is Further Maths GCSE worth it? Should I do/take it?

Whether Further Maths GCSE is "worth it" depends on your individual circumstances, interests, and future aspirations. Here are some key benefits and considerations:

Benefits of taking Further Maths GCSE:

  • Excellent Preparation for A-Level: It provides a much smoother transition to A-Level Mathematics and especially A-Level Further Mathematics, as you'll already be familiar with some of the foundational concepts and the increased level of rigor.
  • Develops Advanced Skills: It enhances your mathematical reasoning, logical thinking, and problem-solving abilities beyond what is typically developed in standard GCSE Maths.
  • Deeper Understanding: It allows you to explore mathematical concepts in more depth and see connections between different areas of maths.
  • Can Strengthen University Applications: For competitive STEM courses (Science, Technology, Engineering, Mathematics, Economics, Computing), having Further Maths GCSE can be an advantage, demonstrating a strong aptitude and commitment to mathematics.
  • Personal Enjoyment: If you love maths, it offers an opportunity to study more interesting and challenging topics.

Considerations:

  • Workload: It's an additional qualification, meaning extra work on top of your other GCSEs. Ensure you can manage the workload.
  • Interest and Aptitude: It's best suited for students who genuinely enjoy maths and are performing very well in the standard GCSE. If you struggle with or dislike standard GCSE Maths, Further Maths will likely be very difficult and unenjoyable.
  • School Availability: Not all schools offer it.
  • Alternative Options: If your school doesn't offer it, or if the workload is a concern, excelling in standard GCSE Maths and then fully committing to A-Level Maths is still a very strong path.

Ultimately, you should consider taking Further Maths GCSE if:

  • You achieve highly in GCSE Mathematics (typically grades 7-9).
  • You have a genuine passion for mathematics and enjoy a challenge.
  • You are strongly considering A-Level Mathematics and/or Further Mathematics.
  • You are aiming for a mathematically-demanding university course or career.

Use the "Suitability Checker" tool above for a personalized suggestion and discuss it with your Maths teacher, who can provide guidance based on your specific abilities and the school's offerings.

How to add Further Maths GCSE to UCAS?

When you fill out your UCAS application for university, you will list all your qualifications, including GCSEs and any Level 2 Certificates like Further Maths.

  • There will be a section to add your qualifications. You should list "GCSE" for your standard subjects and then add the "Level 2 Certificate in Further Mathematics" (or the exact title as per your exam board) as a separate qualification.
  • You will need to enter the awarding body (e.g., AQA, Edexcel/Pearson, OCR), the exact qualification title, the year you took it, and the grade you achieved (or are predicted to achieve).
  • The UCAS system is designed to accommodate a wide range of qualifications. If you're unsure of the exact title, check your results slip or ask your school's exams officer.

Including Further Maths GCSE on your UCAS application can be beneficial as it demonstrates a higher level of mathematical ability and interest, especially for STEM courses.

Level 2 Further Maths Worksheets

Number

Product Rule for Counting     Video    Practice Questions    Answers

Surds (addition/subtraction)   Video      Practice Questions    Answers

Surds (rationalising denominators)   Video    Practice Questions    Answers

Algebra

Function Notation     Video      Practice Questions     Answers

Composite Functions     Video      Practice Questions     Answers

Inverse Functions     Video      Practice Questions     Answers

Domains and Ranges     Video    Practice Questions     Answers

Drawing Functions   Video     Practice Questions        Answers

Expanding Brackets     Video   Practice Questions    Answers

Expanding 3 Brackets     Video    Practice Questions    Answers

Expanding Brackets (Pascal’s triangle)   Video    Practice Questions    Answers

Factorisation     Video    Practice Questions    Answers

Factorising Quadratics     Video     Practice Questions    Answers

Algebraic Fractions (add/subtract)    Video    Practice Questions     Answers

Algebraic Fractions (multiply)    Video     Practice Questions      Answers

Algebraic Fractions (divide)    Video     Practice Questions      Answers

Algebraic Fractions (equations)   Video    Practice Questions      Answers

Changing the Subject     Video    Practice Questions    Answers

Factor Theorem     Video      Practice Questions    Answers

Algebraic Long Division     Video      Practice Questions    Answers

Factorising Cubics     Video       Practice Questions    Answers

Solving Cubics     Video     Practice Questions    Answers

Completing the Square (x²)     Video    Practice Questions    Answers

Completing the Square (ax²)    Video    Practice Questions    Answers

Exponential Graphs     Video    Practice Questions   Answers

Sketching Quadratics     Video    Practice Questions    Answers

Solving Quadratics by Factorisation    Video    Practice Questions   Answers

Solving Quadratics (Completing the Square)  Video  Practice Questions   Answers

Solving Quadratics (Quadratic Formula)   Video    Practice Questions    Answers

Simultaneous Equations (both linear)     Video      Practice Questions     Answers

Simultaneous Equations (non-linear)   Video    Practice Questions    Answers

Simultaneous Equations (3 unknowns)   Video    Practice Questions     Answers

Linear Inequalities    Video       Practice Questions     Answers

Quadratic Inequalities   Video      Practice Questions    Answers

Laws of Indices    Video    Practice Questions    Answers

Fractional Indices    Video     Practice Questions     Answers

Negative Indices   Video    Practice Questions     Answers

Equations with indices/roots    Video     Practice Questions    Answers

Algebraic Proof     Video    Practice Questions     Answers

nth Terms     Video    Practice Questions      Answers

Limiting Values    Video    Practice Questions      Answers

Linear Sequences    Video    Practice Questions      Answers

Quadratic Sequences   Video 1   Video 2    Practice Questions    Answers

Coordinates Geometry

Gradient    Video     Practice Questions     Answers

Parallel Lines    Video     Practice Questions     Answers

Perpendicular Lines    Video     Practice Questions    Answers

Distance between two points   Video    Practice Questions    Answers

Midpoint of a Lines    Video      Practice Questions     Answers

Ratio (Lines)    Video    Practice Questions     Answers

Equation of a Line    Video    Practice Questions     Answers

Equation of a Circle (centre is the origin)    Video     Practice Questions     Answers

Equation of a Circle (centre not the origin)   Video    Practice Questions    Answers

Circle Theorems    Video    Practice Questions     Answers

Equation of a Tangent to a Circle     Video     Practice Questions    Answers

Calculus

Introduction     Video      Practice Questions    Answers

Differentiation      Video         Practice Questions      Answers

Differentiation after Rearranging     Video       Practice Questions    Answers

Gradient of a Curve    Video    Practice Questions      Answers

Equation of a Tangent     Video      Practice Questions    Answers

Equation of a Normal      Video    Practice Questions     Answers

Increasing/Decreasing Function    Video    Practice Questions  Answers

d2y/dx2     Video    Practice Questions      Answers

Stationary Points     Video     Practice Questions     Answers

Application of Differentiation    Video     Practice Questions     Answers

Sketch curve knowing maxima/minima     Video    Practice Questions    Answers

Matrices

Multiplying Matrices (by a scalar)   Video      Practice Questions    Answers

Multiplying Matrices (2×2 by 2×1)   Video     Practice Questions     Answers

Multiplying Matrices (2×2 by 2×2)   Video     Practice Questions     Answers

Identity Matrix     Video    Practice Questions      Answers

Transforming the Unit Square    Video     Practice Questions    Answers

Matrix Transformations    Video     Practice Questions      Answers

Geometry

Geometric Proof     Video    Practice Questions    Answers

Sine Rule (sides)     Video      Practice Questions   Answers

Sine Rule (angles)     Video      Practice Questions   Answers

Sine Rule (ambiguous case)   Video    Practice Questions    Answers

Cosine Rule (sides)     Video      Practice Questions    Answers

Cosine Rule (angles)   Video      Practice Questions    Answers

Area of a Triangle    Video      Practice Questions    Answers

3D Pythagoras    Video       Practice Questions      Answers

3D Trigonometry     Video      Practice Questions    Answers

Exact Trig Values    Video     Practice Questions    Answers

Trig Identities    Video      Practice Questions    Answers

Trig Graphs   Video   Practice Questions      Answers

Finding other Trig ratios    Video     Practice Questions    Answer

Solving Trigonometric Equations: Introduction    Video

Solving Trigonometric Equations 1     Video    Practice Questions    Answers

Solving Trigonometric Equations 2     Video    Practice Questions    Answers

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