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Edexcel A-level Further Maths Further Pure Mathematics 1 — revision checklist

Edexcel · A-level 9FM0 3A
20 spec points
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Board and spec code confirmed against Edexcel 9FM0 · registry checked 2026-07-17How this checking works

Scope: Tracks the registered Further Pure Mathematics 1 (paper 3A) content only. Core Pure 1 and 2 and the other seven option papers are not in this list.

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0% green0/20 rated green

FP1-1Further Trigonometry

0/3
  • The t-formulae.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    FP1-1.1NotesQuestions

  • Applications of t-formulae to trigonometric identities.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    FP1-1.2NotesQuestions

  • Applications of t-formulae to solve trigonometric equations.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    FP1-1.3NotesQuestions

FP1-2Further calculus

0/5
  • Derivation and use of Taylor series.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    FP1-2.1NotesQuestions

  • Use of series expansions to find limits.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    FP1-2.2NotesQuestions

  • Leibnitz's theorem.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    FP1-2.3NotesQuestions

  • L'Hospital's Rule.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    FP1-2.4NotesQuestions

  • The Weierstrass substitution for integration.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    FP1-2.5NotesQuestions

FP1-3Further differential equations

0/2
  • Use of Taylor series method for series solution of differential equations.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    FP1-3.1NotesQuestions

  • Differential equations reducible by means of a given substitution.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    FP1-3.2NotesQuestions

FP1-4Coordinate systems

0/4
  • Cartesian and parametric equations for the parabola and rectangular hyperbola, ellipse and hyperbola.
    Years 1 and 2
    Years 1 and 2: this holds AS subject content and content the exam board adds beyond it for the full A-level.

    FP1-4.1NotesQuestions

  • The focus-directrix properties of the parabola, ellipse and hyperbola, including the eccentricity.
    Years 1 and 2
    Years 1 and 2: this holds AS subject content and content the exam board adds beyond it for the full A-level.

    FP1-4.2NotesQuestions

  • Tangents and normals to these curves.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    FP1-4.3NotesQuestions

  • Loci problems.
    Years 1 and 2
    Years 1 and 2: this holds AS subject content and content the exam board adds beyond it for the full A-level.

    FP1-4.4NotesQuestions

FP1-5Further vectors

0/3
  • The vector product a x b of two vectors.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    FP1-5.1NotesQuestions

  • The scalar triple product a.b x c.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    FP1-5.2NotesQuestions

  • Applications of vectors to three dimensional geometry involving points, lines and planes.
    Years 1 and 2
    Years 1 and 2: this holds AS subject content and content the exam board adds beyond it for the full A-level.

    FP1-5.3NotesQuestions

FP1-6Further numerical methods

0/2
  • Numerical solution of first order and second order differential equations.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    FP1-6.1NotesQuestions

  • Simpson's rule.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    FP1-6.2NotesQuestions

FP1-7Inequalities

0/1
  • The manipulation and solution of algebraic inequalities and inequations, including those involving the modulus sign.
    Years 1 and 2
    Years 1 and 2: this holds AS subject content and content the exam board adds beyond it for the full A-level.

    FP1-7.1NotesQuestions

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