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Further Maths · Further topics · free

Further Maths booklets

Complex numbers, matrices, vectors, polar coordinates, hyperbolic functions, proof and differential equations. Answers and worked solutions are included.

  • 43booklets
  • 2,610questions
  • £0no sign‑up

These booklets are from MadAsMaths. Visit madasmaths.com

Practise individual questions with answers and worked solutions in the question bank. Filter by topic and difficulty, or combine them with past-paper questions.

A‑Level Further Maths:AQAEdexcelOCROCR MEIWJECCambridgeEdexcel International

A version without answers or worked solutions, for printing or practice.

Pure 22 booklets

  • Combinatorics

    ★★–★★★★★

    12 questions · 33 pages · 6.2 MB

    Open booklet

  • Complex numbers 1

    33 questions · 49 pages · 6.5 MB

    Open booklet

  • Complex numbers 1

    Exam questions★★–★★★★★

    83 questions · 68 pages · 12 MB

    Open booklet

  • Complex numbers 2

    30 questions · 76 pages · 10 MB

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  • Complex numbers 2

    Exam questions★★–★★★★★

    186 questions · 170 pages · 29 MB

    Open booklet

  • Conic sections

    ★★–★★★★★

    38 questions · 119 pages · 26 MB

    Open booklet

  • Curve sketching

    ★★–★★★★★

    104 questions · 100 pages · 16 MB

    Open booklet

  • Differentiation from first principles

    ★★–★★★★★

    29 questions · 31 pages · 4.2 MB

    Open booklet

  • Differentiation III

    Practice★★★–★★★★★

    4 questions · 11 pages · 53 KB

    Open booklet

  • Hyperbolic functions

    ★★–★★★★★

    88 questions · 76 pages · 14 MB

    Open booklet

  • Linearisation of graphs

    ★★–★★★★★

    21 questions · 22 pages · 4.2 MB

    Open booklet

  • Mensuration, advanced

    ★★–★★★★★

    9 questions · 10 pages · 1.3 MB

    Open booklet

  • Number theory

    ★★–★★★★★

    33 questions · 29 pages · 7.5 MB

    Open booklet

  • Polar coordinates

    Exam questions★★–★★★★★

    26 questions · 59 pages · 12 MB

    Open booklet

  • Polar coordinates

    Practice

    14 questions · 22 pages · 2.4 MB

    Open booklet

  • Proof

    ★★–★★★★★

    45 questions · 32 pages · 7.3 MB

    Open booklet

  • Proof by induction

    ★★–★★★★★

    36 questions · 82 pages · 16 MB

    Open booklet

  • Rational functions

    ★★★–★★★★

    5 questions · 6 pages · 964 KB

    Open booklet

  • Roots of polynomial equations

    ★★–★★★★★

    40 questions · 59 pages · 7.9 MB

    Open booklet

  • Series and integrals

    ★★★–★★★★★

    8 questions · 9 pages · 1.3 MB

    Open booklet

  • Series expansions

    ★★–★★★★★

    20 questions · 63 pages · 10 MB

    Open booklet

  • Series summation

    Practice★★–★★★★★

    17 questions · 84 pages · 13 MB

    Open booklet

Matrices and vectors 8 booklets

  • Consistency of equations

    ★★★–★★★★

    21 questions · 22 pages · 2.8 MB

    Open booklet

  • Matrices

    Practice

    23 questions · 87 pages · 11 MB

    Open booklet

  • Matrices A

    Exam questions★★–★★★★★

    51 questions · 47 pages · 6.7 MB

    Open booklet

  • Matrices B

    Exam questions★★–★★★★★

    135 questions · 125 pages · 19 MB

    Open booklet

  • Vectors A

    Exam questions★★–★★★★★

    166 questions · 164 pages · 30 MB

    Open booklet

  • Vectors A

    Practice★★–★★★★★

    33 questions · 76 pages · 14 MB

    Open booklet

  • Vectors B

    Exam questions★★–★★★★★

    68 questions · 66 pages · 14 MB

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  • Vectors B

    Practice

    23 questions · 38 pages · 5.2 MB

    Open booklet

Integration and differential equations 13 booklets

  • Arc length and surfaces of revolution

    ★★–★★★★★

    17 questions · 37 pages · 7.4 MB

    Open booklet

  • Definite integration megamix

    104 questions · 47 pages · 8.2 MB

    Open bookletQuestions only

  • First order differential equations

    Exam questions★★–★★★★★

    29 questions · 27 pages · 4.8 MB

    Open booklet

  • First order differential equations

    Practice

    6 questions · 7 pages · 489 KB

    Open booklet

  • First order differential equations by substitution

    ★★–★★★★★

    45 questions · 41 pages · 7.4 MB

    Open booklet

  • Improper integrals

    ★★★–★★★★★

    12 questions · 13 pages · 3.1 MB

    Open booklet

  • Indefinite integration megamix

    759 questions · 251 pages · 78 MB

    Open bookletQuestions only

  • Integration, structured questions II

    ★★–★★★★★

    136 questions · 114 pages · 24 MB

    Open booklet

  • Numerical methods for differential equations

    ★★–★★★★

    14 questions · 26 pages · 6.8 MB

    Open booklet

  • Reduction formulas

    ★★–★★★★★

    36 questions · 37 pages · 7.0 MB

    Open booklet

  • Second order differential equations

    Exam questions★★–★★★★

    16 questions · 29 pages · 5.5 MB

    Open booklet

  • Second order differential equations

    Practice

    12 questions · 16 pages · 1.4 MB

    Open booklet

  • Second order differential equations by substitution

    ★★★–★★★★★

    23 questions · 24 pages · 5.9 MB

    Open booklet