Edexcel Pure Maths A-Level

The Pearson Edexcel Level 3 Advanced GCE in Mathematics consists of three externally-examined papers.

Paper 1 and 2 are pure mathematics and paper 3 is mechanics and statistics.

Edexcel Pure Maths A-Level

Papers 1 and 2: Paper codes: 9MA0/01 and 9MA0/02

Both papers are 2 hour written exam papers which are weighted at 33.33% with a total of 100 marks. Calculators can be used.

Students must complete all assessment in May/June in any single year.

Further resources:

Edexcel Pure Maths A Level Specification

Edexcel A Level Pure Maths Specification

Please note: The AS Pure Maths content is contained within this module.

Check out the video tutorials for Edexcel Pure maths A-Level from the topic lists below.

Algebra Basics – Playlist

  1. Expanding Brackets
  2. Terms in expressions and equations
  3. Identity or equation - what is the difference?
  4. Linear equations
  5. f(x) notation
  6. Polynomials

Pythagoras’ Theorem – Playlist

  1. Pythagoras' theorem

Trigonometry Introduction – Playlist

  1. Introduction to trigonometry
  2. Finding the length of a side
  3. Finding an angle
  4. Mixed Exercise - Pythagoras and Trigonometry

Indices – Playlist

  1. Introduction to indices (exponents)
  2. Multiplication rules for indices
  3. Division rule for indices
  4. Negative indices
  5. Fractions raised to a negative index
  6. Rational (fractional) indices
  7. Simplifying terms with negative powers
  8. Expressing terms in the form axn
  9. Equations in which the power has to be found
  10. Summary of indices
  11. Exam Questions - Indices

Surds – Playlist

  1. Surds - introduction & simplifying
  2. Addition and subtraction of surds
  3. Multiplying surds
  4. Dividing surds
  5. Rationalising surds
  6. Exam Questions - Surds

Factorising – Playlist

  1. Introduction to factorising
  2. Highest common factor (HCF)
  3. Factorising by grouping
  4. Factorising quadratic expressions
  5. Mixed Exercise - Factorising
  6. Exam Questions - Factorising

Completing the Square – Playlist

  1. Completing the square
  2. Applications of completing the square
  3. Exam Questions - Completing the square

Quadratic Equations – Playlist

  1. Solve by factorising
  2. Solve by completing the square
  3. Solve by the quadratic formula
  4. Exam Questions - Solved by the quadratic formula
  5. Solving quadratic equations in some function of x

Quadratic Equations – Roots and Discriminant – Playlist

  1. Roots and discriminant of a quadratic equation
  2. Exam Questions - Roots and discriminant

Quadratic Graphs Playlist

  1. Sketching quadratic graphs

Simultaneous Equations – Playlist

  1. Elimination method for linear equations
  2. Substitution method for linear and non-linear equations
  3. Exam Questions - Simultaneous equations

Inequalities – Playlist

  1. Linear inequalities
  2. Rules for reversing the inequality sign
  3. Solving a linear type
  4. Solving a double inequality
  5. Exam Questions - Solving a double inequality
  6. Shading regions for a linear inequality
  7. Quadratic inequalities
  8. Exam Questions - Quadratic inequalities
  9. Exam Questions - Simultaneous inequalities

Algebraic Long Division – Playlist

  1. Algebraic long division

Factor Theorem – Playlist

  1. The factor theorem
  2. How to solve a cubic equation
  3. Exam Questions - Factor theorem

Rational Expressions: Simplifying – Playlist

  1. Simplifying algebraic fractions
  2. Exam Questions - Simplifying a rational expression
  3. Addition and subtraction of algebraic fractions
  4. Exam Questions - Addition & subtraction
  5. Multiplication of algebraic fractions
  6. Further simplifying of 'stacked fractions'
  7. Exam Questions - Algebraic long division

Gradient of Straight Lines – Playlist

  1. Line segment
  2. Parallel lines
  3. Perpendicular lines

Straight Lines – Playlist

  1. Equation of a straight line: y=mx+c
  2. Equation of a line given the gradient and point
  3. Distance between two points
  4. Mid-point of a line segment
  5. Equation of a parallel line
  6. Equation of a perpendicular bisector

Intersection of Graphs – Playlist

  1. Intersection of two straight lines
  2. Intersection of a straight line and a parabola
  3. Intersection of a straight line and a hyperbola
  4. Nature of the intersection

Exam Questions – Straight Lines

  1. Exam Questions - Straight lines

Circles – Playlist

  1. Equation of a circle
  2. Finding the centre and radius
  3. Circle properties
  4. Equation of a tangent to a circle
  5. Equation of a circle through 3 points
  6. Exam Questions - Circles

Parametric Equations – Playlist

  1. Parametric equations
  2. Converting to Cartesian form
  3. Exam Questions - Parametric to Cartesian equations
  4. Sketching parametric graphs
  5. Parametric equations of circle, ellipse, parabola and hyperbola
  6. Finding Points of Intersection between a Parametric and Cartesian Equation
  7. Exam Questions - Parametric equations

Sketching Cubic and Reciprocal Curves – Playlist

  1. Sketching cubic curves
  2. Sketching reciprocal curves of the form y = k/x

Modulus Functions, Equations and Inequalities – Playlist

  1. The modulus function
  2. Graphing y=|f(x)|
  3. Modulus equations
  4. Exam Questions - Modulus equations
  5. Modulus inequalities
  6. Exam Questions - Modulus inequalities

Working with Functions – Playlist

  1. Mappings
  2. Mappings - More examples
  3. Mappings, functions or both?
  4. f(x) notation
  5. Domain and range
  6. Exam Questions - Domain and range
  7. Combination of functions
  8. The inverse of a function
  9. Graphical relationship between f(x) and its inverse
  10. Exam Questions - Inverse functions
  11. Exam Questions - Functions

Graph Transformations – Playlist

  1. Basic graphs used in transformations
  2. Translations of graphs
  3. Reflections of graphs
  4. Stretches of graphs
  5. Exam Questions - Graph transformations

Asymptotes – Playlist

  1. Asymptotes - horizontal and vertical types

Partial Fractions – Playlist

  1. Partial fractions
  2. Denominator contains 2 or 3 linear factors
  3. Denominator contains repeated factors
  4. Exam Questions - Partial fractions

Binomial Expansion – Playlist

  1. Binomial expansion
  2. Exam Questions - Binomial expansion for positive integer powers
  3. Exam Questions - Binomial expansion, comparing coefficients
  4. Exam Questions - Binomial expansion, estimating a value
  5. Exam Questions - Binomial expansion, other
  6. Exam Questions - Binomial expansion for rational and negative powers
  7. Exam Questions - Partial fractions with the binomial expansion

Working with Sequences and Series – Playlist

  1. Definition and finding the nth term
  2. Increasing and decreasing sequences
  3. Recurrence relationships
  4. Sigma notation
  5. Exam Questions - Recurrence relationships

Arithmetic Sequence and Series – Playlist

  1. Arithmetic progressions
  2. Sum of the first n terms
  3. Finding a and d given two terms
  4. Working with consecutive terms
  5. Exam Questions - Arithmetic sequences and series
  6. Examsolutions Beastie - Arithmetic progressions

Geometric Sequence and Series – Playlist

  1. Geometric series
  2. Proof of sum of first n terms, Sn
  3. Sum to infinity
  4. Exam Style Questions - Geometric Series and Progressions
  5. Exam Questions - Geometric series

Trigonometric Ratios – Playlist

  1. Trigonometric ratios for 30°, 45° and 60°
  2. Trig ratios for multiples of 30°, 45° and 60°

Trigonometric Graphs and Transformations – Playlist

  1. Trigonometric graphs
  2. Translations of trig graphs
  3. Reflections of trig graphs
  4. Stretches of trig graphs
  5. Combining transformations
  6. Exam Questions - Trigonometric graphs and transformations

Applications of Trigonometry – Playlist

  1. Area of a triangle - Given two sides and an included angle
  2. Sine rule
  3. Exam Questions - Sine rule
  4. Cosine rule
  5. Radians
  6. Arcs, sectors and segments
  7. Exam Questions - Arcs, sectors and segments

Trigonometric Equations – Playlist