Pure  ['AM'=Additional Materials page; A Level material is in green]

 

General

 

Further Maths (Pure) - Important Ideas (19 pages; 6/4/20) [AM]

Further Maths Exam Technique (14 pages; 10/12/19) [AM]

Short Q'ns (7 pages; 13/7/20); Sol'ns (26 pages; 13/7/20) [AM]

Pure Topics by Exam Board (22 pages; 7/8/19)

Reference (Pure) (6 pages; 14/7/20)

 

 

Algebra

Algebra - Introduction (3 pages; 25/8/20)

Algebra Methods [STEP] (5 pages; 23/1/18) [AM]

Algebra Exs [STEP] (1 page; 7/9/18); Sol'ns (6 pages; 7/9/18) [AM]

Algebra Exs [MAT] (1 page; 19/9/17); Sol'ns (4 pages; 19/9/17) [AM]

Partial Fractions (10 pages; 8/8/19)

 

 

Complex Numbers

Complex Numbers - Part 1 (12 pages; 11/12/15)

Complex Numbers - Part 2 (11 pages; 18/9/19)

Complex Numbers - Part 3 (11 pages; 18/9/19)

Complex Number Methods [STEP] (9 pages; 28/2/15) [AM]

Complex Numbers Exs (4 pages; 17/2/20) Solns (16 pages; 17/2/20)

 

 

Conics

Conics (4 pages; 17/8/19)

Parabolas (10 pages; 16/7/19)

Ellipses (7 pages; 18/8/19)

Hyperbolas (13 pages; 11/9/19)

Parabolas - Exs (3 pages; 17/2/20); Sol'ns (7 pages; 29/12/19)

Ellipses - Exs (1 page; 17/2/20); Sol'ns (3 pages; 30/12/19)

Hyperbolas - Exs (2 pages; 17/2/20); Sol'ns (6 pages; 30/12/19)

 

 

 

Differential Equations (see also Mechanics: Oscillations)

Models (4 pages, 19/2/20)

1st order (3 pages, 23/2/19)

2nd order (linear, constant coeffs) (9 pages; 28/5/20)

Approximate methods (10 pages; 21/01/20)

Linear systems (7 pages; 14/9/19)

Differential Equations [STEP] (5 pages; 18/11/18) [AM]

 

 

Differentiation

Differentiation - Misc (4 pages; 3/9/18)

Differentiation Exs (2 pages; 18/2/20); Sol'ns (6 pages; 18/2/20)

Differentiation Exs [STEP](1 page; 28/9/18); Sol'ns (2 pages; 28/9/18) [AM]

Turning points (3 pages; 7/4/20)

Points of inflexion (3 pages; 24/10/18)

TPs, PoI & Cubics Exs [STEP] (2p;18/9/18); Sol'ns (6p;18/9/18) [AM]

 

 

Functions 

Cubics (3 pages; 25/2/18) [AM]

Cubic Graphs Exs (3 pages; 29/7/16); Sol'ns (10 pages; 29/7/16)

Curve Sketching Exs (2 pages; 10/4/20); Sol'ns (11 pages; 10/4/20)

Curve Sketching Exs [STEP](1 page; 20/9/18); Sol'ns (5 pages; 20/9/18) [AM]

Curve Sketching Exs [MAT] (2 pages; 19/9/17); Sol'ns (7p; 19/9/17) [AM]

Convexity & concavity (3 pages; 29/8/18)

Sketching rational functions (5 pages; 11/12/19)

Transformations of Functions (6 pages; 9/9/13)

Transformations (6 pages; 25/2/18) [AM]

Transformations Exs (2 pages; 19/2/20); Sol'ns (5 pages; 19/2/20)

Transformations Exs [STEP] (1p; 18/9/18); Sol'ns (5 pages; 18/9/18) [AM]

y squared = f(x) (2 pages; 29/8/18)

Modulus function (3 pages; 4/9/18)

Functions - Misc (7 pages; 4/9/18)

 

 

Geometry

Circle Theorems (11 pages; 7/8/17)

Geometry Exs (2 pages; 19/2/20); Sol'ns (5 pages; 19/2/20)

Geometry Exs [STEP] (2 pages; 30/9/18); Sol'ns (6 pages; 30/9/18) [AM]

Geometry Exs [MAT] (2 pages; 19/9/17); Sol'ns (6 pages; 19/9/17) [AM]

 

 

Groups

Groups - Part 1 (10 pages; 22/10/16)

Groups - Part 2 (12 pages; 23/10/16)

Groups - Exs (2 pages; 20/2/20); Sol'ns (8 pages; 8/1/20)

 

 

Hyperbolic Functions

Hyperbolic Functions (10 pages; 26/7/16)

Hyperbolic Functions Exs (4 pages; 20/2/20); Sol'ns (13 pages; 8/1/20)

 

 

Inequalities

Inequalities (7 pages; 5/9/18)

Inequalities Exs (2 pages; 21/2/20); Sol'ns (6 pages; 9/1/20)

Inequalities Exs [STEP] (2 pages; 11/6/20); Sol'ns (7 pages; 11/6/20) [AM]

Inequalities Exs [MAT] (2 pages; 19/9/17); Sol'ns (6 pages; 19/9/17) [AM]

 

 

Integration

Integration methods (13 pages; 6/2/18)

Integration theory (5 pages; 28/9/18)

Integration: Arc lengths & Surface areas (3 pages; 10/5/17)

Improper integrals (3 pages; 20/9/18)

Integration [STEP] (6 pages; 1/7/20) [AM]

Integration - P1 Exs (Easier)(1 page; 7/11/17); Sol'ns (8 pages; 7/11/17)

Integration - P2 Exs (Harder)(3 pages; 8/8/19); Sol'ns (22 pages; 8/8/19)

Integration - P3 Exs (Hyperbolic)(2 pages; 6/2/18); Sol'ns (12 pages; 17/4/20)

Integration - P4 Exs (Misc) (2 pages; 8/8/19); Sol'ns (6 pages; 8/8/19)

Integration Exs [STEP] (1 page; 28/9/18); Sol'ns (3 pages; 28/9/18) [AM]

 

 

Logarithms

Logarithms (4 pages; 13/2/17)

Logarithms Exs (1 page; 21/2/20); Sol'ns (5 pages; 9/1/20)

Logarithms Exs [STEP] (1 page; 10/6/20); Sol'ns (5 pages; 10/6/20) [AM]

Logarithms Exs [MAT] (1 page; 19/9/17); Sol'ns (3 pages; 19/9/17) [AM]

Modelling Curves using Logs (4 pages; 7/8/17)

 

 

Matrices

Determinants & Inverses (14 pages; 3/6/19)

3 simultaneous equations (8 pages; 24/3/20)

3 simultaneous equations - Exs (2 pages; 2/4/20); Sol'ns (8 pages; 2/4/20)

Transformations (9 pages; 1/10/19)

Transformations Exs (4 pages; 22/2/20); Sol'ns (14 pages; 22/2/20)

Invariant points and lines - introduction (4 pages; 16/4/20)

Invariant points & lines - conditions (12 pages; 16/4/20) [AM]

Invariant points and lines - Exs (1 page; 16/4/20); Sol'ns (3 pages; 16/4/20)

Shears (8 pages; 12/8/18) [AM]

Shears Exs (1 page; 22/2/20); Sol'ns (4 pages; 22/2/20) [AM]

Eigenvectors (10 pages; 4/9/18)

Eigenvectors Exs (3 pages; 20/3/20); Sol'ns (15 pages; 20/3/20)

Eigenvectors & Invariance (6 pages; 16/4/20) [AM]

General Exs (3 pages; 2/4/20); Sol'ns (9 pages; 2/4/20)

 

 

Numbers

Number Theory (17 pages; 7/10/18)

Transcendental numbers (1 page; 13/7/20)

Integers Exs [STEP] (2 pages; 12/9/18); Sol'ns (5 pages; 12/9/18) [AM]

Integers Exs [MAT] (1 page; 19/9/17); Sol'ns (4 pages; 19/9/17) [AM]

Counting Exs [STEP] (1 page; 7/7/20); Sol'ns (8 pages; 7/7/20) [AM]

Counting Exs [MAT] (1 page; 19/9/17); Sol'ns (5 pages; 19/9/17) [AM]

 

 

 

Numerical Methods

Calculator method (1 page; 22/10/18)

Errors (10 pages; 27/3/20)

Sol'n of Eq'ns: Bisection method (2 pages; 22/10/18)

Sol'n of Eq'ns: Method of False Position (4 pages; 22/10/18)

Sol'n of Eq'ns: Newton-Raphson (4 pages; 22/10/18)

Sol'n of Eq'ns: Secant method (2 pages; 12/6/20)

Sol'n of Eq'ns: Fixed Point (16 pages; 27/3/20)

Sol'n of Eq'ns: Comparison of methods (2 pages; 22/10/18)

Sol'n of Eq'ns: Convergence (3 pages; 12/6/20)

Numerical Integration (20 pages; 31/3/20)

Numerical Differentiation (8 pages; 31/3/20)

Approximating F'ns: Newton's Forward Difference (9 pages; 12/6/20)

Approximating F'ns: Lagrange's method (2 pages; 27/3/20)

Num. Methods: Short Q'ns (3 ps; 12/6/20); Sol'ns (7 ps; 12/6/20) [AM]

 

 

Parametric Equations

Parametric equations (8 pages; 30/8/13)

 

 

Polar Curves

Polar Curves (21 pages; 17/11/18)

Polar Curves - Exs (1 page; 21/3/20); Sol'ns (6 pages; 14/1/20)

 

 

 

Polynomials (incl. Quadratics)

Roots of polynomials (6 pages; 15/2/17)

Quadratics - factorising (3 pages; 21/1/17)

Quadratics Exs (1 page; 21/3/20); Sol'ns (3 pages; 21/3/20)

Polynomials - Exs (1 page; 21/3/20); Sol'ns (4 pages; 14/1/20)

Roots of polynomials - Exs (2 pages; 21/3/20); Sol'ns (6 pages; 21/3/20)

Quadratics/Polynomial Exs [STEP](1p; 11/6/20); Sol'ns (5p; 11/6/20) [AM]

Polynomials Exs [MAT] (1 page; 19/9/17); Sol'ns (3 pages; 19/9/17) [AM]

 

  

Proof

Induction (4 pages; 22/8/16)

Induction Exs (3 pages; 22/8/16); Sol'ns (23 pages; 30/1/18)

Method of Differences (2 pages; 28/1/19)

 

 

 

Sequences & Series

Arithmetic Sequences & Series (2 pages; 23/1/17)

Arithmetic Seqs & Series Exs (2 pages; 22/3/20) Sol'ns (6 pages; 22/3/20)

Maclaurin Series (7 pages; 25/3/17)

Maclaurin Series Exs (2 pages; 22/3/20); Sol'ns (8 pages; 22/3/20)

Recurrence relations (16 pages; 5/9/18)

Recurrence relations - Ex (1 page; 13/7/20); Sol'ns (2 pages; 13/7/20)

Taylor Series (5 pages; 27/3/18)

 

 

 

Trigonometry

Trigonometry - Part 1 (12 pages; 4/9/16)

Trigonometry - Part 2 (15 pages; 24/3/20)

t=tan(x/2) substitution (4 pages; 24/3/20)

Trigonometry Exs - Part 1 (2 pages; 6/2/20); Sol'ns (11 pages; 6/2/20)

Trigonometry Exs - Part 2 (2 pages; 6/2/20); Sol'ns (4 pages; 6/2/20)

Trigonometry Exs [STEP] (1 page; 7/9/18); Sol'ns (4 pages; 7/9/18) [AM]

Trigonometry Exs [MAT] (1 page; 19/9/17); Sol'ns (4 pages; 19/9/17) [AM]

 

 

 

Vectors

Vectors - Summary (13 pages; 20/2/20)

Vector Methods [STEP] (4 pages; 14/3/15) [AM]

Vectors - Introduction (6 pages; 4/8/18)

Scalar Product (4 pages; 19/9/20)

Vectors - Lines (6 pages; 18/9/20)

Vectors - Planes (7 pages; 10/2/20)

Vectors - Angles (5 pages; 4/8/18)

Vectors - Intersections (3 pages; 4/8/18)

Vectors - Shortest distances (14 pages; 4/8/18)

Vector Product (8 pages; 4/8/18)

Triple Products (4 pages; 4/8/18)

Vectors: Misc (1 page; 4/4/18)

Vectors - Exs: Part 1 (5 pages; 19/5/20)Sol'ns (25 pages; 19/5/20)

Vectors - Exs: Part 2 (4 pages; 24/3/20)Sol'ns (10 pages; 24/3/20)

 

 

 

Miscellaneous

General Exs [STEP] (1 page; 13/7/20); Sol'ns (2 pages; 13/7/20) [AM]

General Exs [MAT] (2 pages; 19/9/17); Sol'ns (11 pages; 19/9/17) [AM]

Linear Interpolation (5 pages; 7/2/16)

Miscellaneous Exs (3 pages; 24/3/20); Sol'ns (7 pages; 24/3/20)