Core Pure

Questions by topic with worked solutions. Filter by exam board. Exam board labels correspond to content coverage and are not a promise of matching style.
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Miscellaneous Pure 4 booklets

Hyperbolic Functions

18 questions

Questions: Hyperbolic Functions Solutions: Hyperbolic Functions

Roots of Polynomials

15 questions

Questions: Roots of Polynomials Solutions: Roots of Polynomials

Method of Differences

12 questions

Questions: Method of Differences Solutions: Method of Differences

Rational Functions

14 questions Exam boards:AQACIE 9231

Questions: Rational Functions Solutions: Rational Functions

Complex Numbers 5 booklets

Complex Numbers Basics

8 questions

Questions: Complex Numbers Basics Solutions: Complex Numbers Basics

De Moivre's Theorem

18 questions

Questions: De Moivre's Theorem Solutions: De Moivre's Theorem

Loci and Regions in the Argand Diagram

10 questions

Questions: Loci and Regions in the Argand Diagram Solutions: Loci and Regions in the Argand Diagram

Complex Roots and Geometry Problems

13 questions

Questions: Complex Roots and Geometry Problems Solutions: Complex Roots and Geometry Problems

Complex Series

7 questions

Questions: Complex Series Solutions: Complex Series

Vectors, Matrices & Linear Transformations 8 booklets

Vectors Formula Sheet Notes

Formula Sheet for Shortest Distances, Reflections, etc

View notes: Vectors Formula Sheet

Matrix Determinants & Inverses

10 questions

Questions: Matrix Determinants & Inverses Solutions: Matrix Determinants & Inverses

Linear Transformations

11 questions

Questions: Linear Transformations Solutions: Linear Transformations

Invariant Points and Lines

9 questions

Questions: Invariant Points and Lines Solutions: Invariant Points and Lines

Vector Product

10 questions · Cross Product Exam boards:AQAOCR AOCR MEICIE 9231

Questions: Vector Product Solutions: Vector Product

Shortest Distances

8 questions

Questions: Shortest Distances Solutions: Shortest Distances

Plane Intersections

7 questions

Questions: Plane Intersections Solutions: Plane Intersections

Reflections in Planes

7 questions Exam boards:EdexcelAQAOCR A

Questions: Reflections in Planes Solutions: Reflections in Planes

Further Calculus 6 booklets

Tabular Method for IBP Notes

Fast method for repeated Integration By Parts

View notes: Tabular Method for IBP

Integration by Parts

15 questions · FM Level

Questions: Integration by Parts Solutions: Integration by Parts

Integration by Substitution

15 questions · FM Level

Questions: Integration by Substitution Solutions: Integration by Substitution

Integration with Inverse Trig

17 questions · Inverse Trig/Hyperbolic Trig

Questions: Integration with Inverse Trig Solutions: Integration with Inverse Trig

Volumes of Revolution

15 questions

Questions: Volumes of Revolution Solutions: Volumes of Revolution

Maclaurin Series

17 questions

Questions: Maclaurin Series Solutions: Maclaurin Series

Differential Equations 5 booklets

Integrating Factor Method

15 questions

Questions: Integrating Factor Method Solutions: Integrating Factor Method

Modelling with 1st Order Differential Equations

14 questions

Questions: Modelling with 1st Order Differential Equations Solutions: Modelling with 1st Order Differential Equations

2nd Order Differential Equations

12 questions

Questions: 2nd Order Differential Equations Solutions: 2nd Order Differential Equations

Modelling with 2nd Order Differential Equations

12 questions

Questions: Modelling with 2nd Order Differential Equations Solutions: Modelling with 2nd Order Differential Equations

Systems of Differential Equations

12 questions

Questions: Systems of Differential Equations Solutions: Systems of Differential Equations

Polar Coordinates 3 booklets

Polar Coordinates Basics

10 questions

Questions: Polar Coordinates Basics Solutions: Polar Coordinates Basics

Integration of Polar Curves

12 questions

Questions: Integration of Polar Curves Solutions: Integration of Polar Curves

Tangents to Polar Curves

8 questions Exam boards:EdexcelAQA

Questions: Tangents to Polar Curves Solutions: Tangents to Polar Curves

Proof by Induction 4 booklets

Proof by Induction - Series

10 questions

Questions: Proof by Induction - Series Solutions: Proof by Induction - Series

Proof by Induction - Matrices

8 questions

Questions: Proof by Induction - Matrices Solutions: Proof by Induction - Matrices

Proof by Induction - Divisibility

8 questions

Questions: Proof by Induction - Divisibility Solutions: Proof by Induction - Divisibility

Proof by Induction - Derivatives

8 questions

Questions: Proof by Induction - Derivatives Solutions: Proof by Induction - Derivatives