A Level Maths

We will look at:

• Worked solutions for some A-level maths past year examinations.
• Concepts that you will need to know for the A-level Maths: Algebra, Transformation of Graphs, Functions, Indices, Logarithms & Exponential, Polynomials, Geometry. Coordinate Geometry, Differentiation, Integration, Sequences & Series, Binomial Expansion, Trigonometry, Vectors, Statistics & Probability, Mechanics and Further Pure Mathematics.

Edexcel Past Papers, Mark Schemes, Videos & Solutions

Questions & Answers for Edexcel Mathematics Past Papers

• 8MA0 Past Papers & Step By Step Solutions

  Pure Maths Paper 1 October 2020, 8MA0/01
  Statistics Paper 21 October 2020, 8MA0/21
  Mechanics Paper 22 October 2020, 8MA0/22

  Pure Maths Paper 1 May/June 2019, 8MA0/01
  Statistics Paper 21 May/June 2019, 8MA0/21
  Mechanics Paper 22 May/June 2019, 8MA0/22

• 9MA0 Past Papers & Step By Step Solutions

  Pure Maths Paper 1 October 2020, 9MA0/01
  Pure Maths Paper 1 June 2019, 9MA0/01
  Pure Maths Mock Paper 1 2019
  Pure Maths Paper 1 June 2018
  Pure Maths Specimen Paper 1 2018
  Pure Maths Sample Paper 1 2017
  

  Pure Maths Paper 2 October 2020, 9MA0/02
  Pure Maths Paper 2 June 2019, 9MA0/02
  Pure Maths Mock Paper 2 2019
  Pure Maths Paper 2 June 2018
  Pure Maths Specimen Paper 2 2018
  Pure Maths Sample Paper 2 2017
  

  Statistics & Mechanics October 2020, 9MA0/31, 9MA0/32
  Statistics & Mechanics Paper 3 October 2020, 9MA0/03
  Statistics & Mechanics June 2019, 9MA0/31, 9MA0/32
  Statistics & Mechanics Mock Paper 3 2019
  Statistics & Mechanics Paper 3 June 2018
  Statistics & Mechanics Specimen Paper 3 2018
  Statistics & Mechanics Sample Paper 3 June 2017

• 9FM0 Past Papers & Step By Step Solutions

  Further Maths Paper 1 May 2020, 9FM0/01
  Further Maths Paper 1 May 2020, 9FM0/02

Questions & Answers for Edexcel IAL Mathematics Past Papers

• IAL WMA, WST, WPH Past Papers & Solutions

  Edexcel Jan 2022 IAL Pure Maths WMA11/01
  Edexcel Oct 2021 IAL Pure Maths WMA11/01
  Edexcel May/June 2021 IAL Pure Maths WMA11/01
  Edexcel Jan 2021 IAL Pure Maths WMA11/01
  Edexcel Oct 2020 IAL Pure Maths WMA11/01
  Edexcel Jan 2020 IAL Pure Maths WMA11/01
  Edexcel Oct 2019 IAL Pure Maths WMA11/01

  Edexcel Jan 2022 IAL Pure Maths WMA12/01
  Edexcel Oct 2021 IAL Pure Maths WMA12/01
  Edexcel May/June 2021 IAL Pure Maths WMA12/01
  Edexcel Jan 2020 IAL Pure Maths WMA12/01

  Edexcel Jan 2022 IAL Pure Maths WMA13/01
  Edexcel May/June 2021 IAL Pure Maths WMA13/01
  Edexcel Jan 2021 IAL Pure Maths WMA13/01
  Edexcel Oct 2020 IAL Pure Maths WMA13/01
  Edexcel Jan 2020 IAL Pure Maths WMA13/01
  Edexcel 2020 IAL Pure Maths WMA13/01 Specimen

  Edexcel Jan 2022 IAL Pure Maths WMA14/01
  Edexcel Jan 2021 IAL Pure Maths WMA14/01

  Edexcel Jan 2022 IAL Statistics WST01/01
  Edexcel Jan 2021 IAL Statistics WST01/01
  Edexcel Jan 2020 IAL Statistics WST01/01

  Edexcel Jan 2022 IAL Mechanics and Materials WPH11/01

Cambridge International Exams (CIE) Past Papers & Solutions

9709 Past Papers Past Papers & Solutions

• 9709 Pure Maths 1

  May 2023 Pure Maths 1 9709/11
  May 2023 Pure Maths 1 9709/12
  May 2023 Pure Maths 1 9709/13
  

  May 2022 Pure Maths 1 9709/11
  May 2022 Pure Maths 1 9709/12
  May 2022 Pure Maths 1 9709/13
  Mar 2022 Pure Maths 1 9709/12

  Oct 2021 Pure Maths 1 9709/11
  Oct 2021 Pure Maths 1 9709/12
  Oct 2021 Pure Maths 1 9709/13
  May 2021 Pure Maths 1 9709/11
  May 2021 Pure Maths 1 9709/12
  May 2021 Pure Maths 1 9709/13
  Mar 2021 Pure Maths 1 9709/12

  Oct 2020 Pure Maths 1 9709/11
  Oct 2020 Pure Maths 1 9709/12
  Oct 2020 Pure Maths 1 9709/13
  May 2020 Pure Maths 1 9709/11
  May 2020 Pure Maths 1 9709/12
  May 2020 Pure Maths 1 9709/13
  Mar 2020 Pure Maths 1 9709/13

• 9709 Pure Maths 2

  Mar 2022 Pure Maths 2 9709/22

  May 2021 Pure Maths 2 9709/23
  Mar 2021 Pure Maths 2 9709/22

  May 2020 Pure Maths 2 9709/21
  May 2020 Pure Maths 2 9709/23
  Mar 2020 Pure Maths 2 9709/22
  

• 9709 Pure Maths 3

  Mar 2022 Pure Maths 3 9709/32

  Oct 2021 Pure Maths 3 9709/31
  Oct 2021 Pure Maths 3 9709/32
  May 2021 Pure Maths 3 9709/31
  May 2021 Pure Maths 3 9709/32
  May 2021 Pure Maths 3 9709/33
  Mar 2021 Pure Maths 3 9709/32

  Oct 2020 Pure Maths 3 9709/32
  Oct 2020 Pure Maths 3 9709/33
  May 2020 Pure Maths 3 9709/31
  May 2020 Pure Maths 3 9709/32
  Mar 2020 Pure Maths 3 9709/32

• 9709 Mechanics 4

  May 2022 Mechanics 4 9709/43
  Mar 2022 Mechanics 4 9709/42

  Oct 2021 Mechanics 4 9709/41
  Oct 2021 Mechanics 4 9709/42
  May 2021 Mechanics 4 9709/41
  May 2021 Mechanics 4 9709/42
  May 2021 Mechanics 4 9709/43
  Mar 2021 Mechanics 4 9709/42

  Oct 2020 Mechanics 4 9709/41
  Oct 2020 Mechanics 4 9709/42
  May 2020 Mechanics 4 9709/41
  May 2020 Mechanics 4 9709/42
  Mar 2020 Mechanics 4 9709/42

• 9709 Prob & Stats 1

  May 2022 Prob & Stats 1 9709/53
  

  Oct 2021 Prob & Stats 1 9709/51
  Oct 2021 Prob & Stats 1 9709/52
  Oct 2021 Prob & Stats 1 9709/53

  May 2021 Prob & Stats 1 9709/51
  May 2021 Prob & Stats 1 9709/52
  May 2021 Prob & Stats 1 9709/53
  Mar 2021 Prob & Stats 1 9709/52

  Oct 2020 Prob & Stats 1 9709/51
  Oct 2020 Prob & Stats 1 9709/52
  May 2020 Prob & Stats 1 9709/51
  May 2020 Prob & Stats 1 9709/52
  Mar 2020 Prob & Stats 1 9709/52
  

• 9709 Prob & Stats 2

  Mar 2022 Prob & Stats 2 9709/62

  Oct 2021 Prob & Stats 1 9709/62
  May 2021 Prob & Stats 2 9709/61
  May 2021 Prob & Stats 2 9709/63
  Mar 2021 Prob & Stats 2 9709/62

  Oct 2020 Prob & Stats 2 9709/61
  Oct 2020 Prob & Stats 2 9709/62
  May 2020 Prob & Stats 2 9709/61
  May 2020 Prob & Stats 2 9709/62
  Mar 2020 Prob & Stats 2 9709/62
  

• 9702 Past Papers & Step By Step Solutions

  May 2022 Physics 1 9702/13
  Mar 2022 Physics 1 9702/12
  2022 Physics Specimen Paper 1 9702/1

  Oct 2021 Physics 1 9702/13
  May 2021 Physics 1 9702/12
  May 2021 Physics 1 9702/13
  Mar 2021 Physics 1 9702/12

  Oct 2020 Physics 1 9702/11
  Oct 2020 Physics 1 9702/12
  Oct 2020 Physics 1 9702/13

  Mar 2021 Physics 2 9702/22
  Oct 2020 Physics 2 9702/22
  Oct 2020 Physics 2 9702/23
  

Questions & Answers for Edexcel Core Mathematics

• Past Papers & Step By Step Solutions

  May 2017 C1
  May 2016 C1
  May 2015 C1

  May 2015 C2 Exam Questions
  May 2015 C2 Solutions
  

  Questions January 2015 C12
  Solutions January 2015 C12
  Mark Scheme January 2015

  Questions January 2015 C34
  Solutions January 2015 C34
  Mark Scheme January 2015 C34

Questions & Solutions For Edexcel Further Pure Maths FP1 Advanced/Advanced Subsidiary

• Edexcel Maths FP1

  Questions June 2015
  Solutions June 2015

Edexcel International Advanced Level Mathematics

Edexcel has redeveloped their AS/A level in Mathematics for international centres, called Edexcel International AS/Advanced Level in Mathematics. Students sitting exams from January 2014 will be awarded the new qualification.

What are the changes to the International Advanced Level in Mathematics specification?

• The Core units have been combined.
  C1 and C2 have been combined to create one unit.
  C3 and C4 have been combined to create one unit.

• Further Pure Mathematics 1 has been updated with some new content.

• Application units available include:
  – Statistics 1, 2, and 3
  – Mechanics 1, 2 and 3
  – Decision Mathematics 1.

• Further Pure Mathematics units available are Further Pure Mathematics 1, 2 & 3.

• Edexcel Core Maths C1

  Questions May 2014
  Mark Scheme May 2014
  Solutions May 2014
  
  Questions June 2013
  Mark Scheme June 2013
  Solutions June 2013
  
  Questions January 2013
  Mark Scheme January 2013
  Solutions January 2013
  
  Questions June 2012
  Mark Scheme June 2012
  Solutions June 2012
  
  Questions January 2012
  Mark Scheme January 2012
  Solutions January 2012
  
  Questions June 2011
  Mark Scheme June 2011
  Solutions June 2011
  
  Questions January 2011
  Mark Scheme January 2011
  Solutions January 2011
  
  Questions June 2010
  Mark Scheme June 2010
  Solutions June 2010
  
  Questions January 2010
  Mark Scheme January 2010
  Solutions January 2010
  
  Questions June 2009
  Mark Scheme June 2009
  Solutions June 2009
  
  Questions January 2009
  Mark Scheme January 2009
  
  Questions June 2008
  Mark Scheme June 2008
  
  Questions January 2008
  Mark Scheme January 2008
  
  Questions June 2007
  Mark Scheme June 2007
  
  Questions January 2007
  Mark Scheme January 2007

• Past Papers (C2), Mark Schemes, Solutions

  Questions May 2014
  Mark Scheme May 2014
  Solutions May 2014
  
  Questions June 2013
  Mark Scheme June 2013
  Solutions June 2013
  
  Questions January 2013
  Mark Scheme January 2013
  Solutions January 2013
  
  Questions June 2012
  Mark Scheme June 2012
  Solutions June 2012
  
  Questions January 2012
  Mark Scheme January 2012
  Solutions January 2012
  
  Questions June 2011
  Mark Scheme June 2011
  Solutions June 2011
  
  Questions January 2011
  Mark Scheme January 2011
  Solutions January 2011
  
  Questions June 2010
  Mark Scheme June 2010
  Solutions June 2010
  
  Questions January 2010
  Mark Scheme January 2010
  Solutions January 2010
  
  Questions June 2009
  Mark Scheme June 2009
  Solutions June 2009
  
  Questions January 2009
  Mark Scheme January 2009
  
  Questions June 2008
  Mark Scheme June 2008
  
  Questions January 2008
  Mark Scheme January 2008
  
  Questions June 2007
  Mark Scheme June 2007
  
  Questions January 2007
  Mark Scheme January 2007

• Past Papers (C3), Mark Schemes, Solutions

  Questions May 2014
  Mark Schemes May 2014
  Solutions May 2014
  
  Questions June 2013
  Mark Schemes June 2013
  Solutions June 2013
  
  Questions January 2013
  Mark Schemes January 2013
  Solutions January 2013
  
  Questions June 2012
  Mark Schemes June 2012
  Solutions June 2012
  
  Questions January 2012
  Mark Schemes January 2012
  Solutions January 2012
  
  Questions June 2011
  Mark Schemes June 2011
  Solutions June 2011
  
  Questions January 2011
  Mark Schemes January 2011
  Solutions January 2011
  
  Questions June 2010
  Mark Schemes June 2010
  Solutions June 2010
  
  Questions January 2010
  Mark Schemes January 2010
  Solutions January 2010
  
  Questions June 2009
  Mark Schemes June 2009
  Solutions June 2009
  
  Questions January 2009
  Mark Schemes January 2009
  Solutions January 2009
  
  Questions June 2008
  Mark Schemes June 2008
  
  Questions January 2008
  Mark Schemes January 2008
  
  Questions June 2007
  Mark Schemes June 2007
  
  Questions January 2007
  Mark Schemes January 2007
  Solutions January 2007

• Past Papers (C4), Mark Schemes, Solutions

  Questions May 2014
  Mark Scheme May 2014
  Solutions May 2014
  
  Questions June 2013
  Mark Scheme June 2013
  Solutions June 2013
  
  Questions January 2013
  Mark Scheme January 2013
  Solutions January 2013
  
  Questions June 2012
  Mark Scheme June 2012
  Solutions June 2012
  
  Questions January 2012
  Mark Scheme January 2012
  Solutions January 2012
  
  Questions June 2011
  Mark Scheme June 2011
  Solutions June 2011
  
  Questions January 2011
  Mark Scheme January 2011
  Solutions January 2011
  
  Questions June 2010
  Mark Scheme June 2010
  Solutions June 2010
  
  Questions January 2010
  Mark Scheme January 2010
  Solutions January 2010
  
  Questions June 2009
  Mark Scheme June 2009
  
  Questions January 2009
  Mark Scheme January 2009
  
  Questions June 2008
  Mark Scheme June 2008
  
  Questions January 2008
  Mark Scheme January 2008
  
  Questions June 2007
  Mark Scheme June 2007
  
  Questions January 2007
  Mark Scheme January 2007

• Core 1 A-level Examinations

  A-level Exam Q1 - Q5
  A-level Exam Q6 - Q10
  A-level Exam Paper 2 Q1 - Q4
  A-level Exam Paper 2 Q5 - Q8

• Core 2 A-level Exam

  A-level Examination Q1 - Q4
  A-level Examination Q5 - Q9

Questions & Answers for OCR 4721 Core Mathematics 1

• OCR 4721 Core Mathematics 1

  Questions for Jan 2010
  Core Mathematics 1 January 2010 Q1-Q4
  Core Mathematics 1 January 2010 Q5-Q8
  Core Mathematics 1 January 2010 Q9-Q11

Questions & Answers For IGCSE/GCSE Additional Mathematics

• IGCSE/GCSE Additional Maths

  Additional Maths 2008 Q1 - Q4
  Additional Maths 2008 Q5 - Q8
  Additional Maths 2008 Q9 - Q13

Bridging The Gap Between Gcse Maths & A-Level Maths

• GCSE Review

  Fractions & Indices
  
  Surds
  
  Straight Line Graphs, Parallel & Perpendicular Lines
  
  Linear Algebra, Simultaneous Equations, Rearranging Equations
  Factoring & Solving Quadratic Equations, Completing the Square Solving Quadratics with Fractions, Simultaneous Equations (Linear & Non-Linear)
  
  Graph Sketching & Transformations
  
  Pythagoras Theorem, Sine Rule, Cosine Rule, Area of non-right Triangle

Pure Mathematics

• Algebra

  Linear Inequalities (Review)
  Simultaneous Linear Equations Elimination
  Simultaneous Linear Equations Substitution
  Simultaneous Linear Equations - Graphical
  
  Factorising & Solving Quadratic Equations I
  Factorising & Solving Quadratic Equations II
  
  Completing the Square I
  Completing the Square II
  
  Sketching a Quadratic Graph by Completing the Square
  Completing the Square & Graph Transformation
  Derivation of the Quadratic Formula
  Solving Quadratic Equations using the Quadratic Formula
  Using the Quadratic Formula without a Calculator
  
  Discriminant of a Quadratic Equation I
  Discriminant of a Quadratic Equation II Disguised Quadratic Equations
  Quadratic Inequalities I
  Quadratic Inequalities II
  
  Fractional (or Rational) Inequalities
  Simultaneous Inequalities
  Simultaneous Equations - Linear & Non-Linear I
  Simultaneous Equations - Linear & Non-Linear II
  
  Simultaneous Equations - Logarithms
  Simplifying Algebraic Fractions I
  Simplifying Algebraic Fractions II
  Simplifying Algebraic Fractions III
  
  Partial Fractions Tutorial I
  Partial Fractions Tutorial II
  Partial Fractions Tutorial III
  
  Partial Fractions Exam Questions I
  Partial Fractions Exam Questions II
  
  Modulus Graphs I
  Modulus Graphs II
  Solving Modulus Equations

• Transformation of Graphs

  Graph Transformations (Translation, Reflection, Stretch)
  Graph Transformations- Proofs
  Sketch Quadratic Graphs by Completing the Square
  
  Exponential Graphs
  Sketching Exponential Graphs
  Modulus Graphs I
  Modulus Graphs II
  Graph Sketching
  
  Transformation of Trig. Graphs I
  Transformation of Trig. Graphs II
  More Graph Transformations
  Graph Transformation Exam Questions

• Functions

  Functions: Domain, Range, Mappings
  Inverse Functions
  Domain & Range of Inverse Functions
  Combined or Composite Functions
  Composite Function Exam Questions
  
  Even & Odd Functions
  Modulus Functions
  Function Exam Questions I
  Function Exam Questions II
  Function Exam Questions III
  Function Exam Questions IV
  Inverse & Self-Inverse Functions Exam Questions

• Indices

  Rules of Indices (Review)
  Simplifying Indices
  Indices Exam Questions
  Indices & Differentiation Exam Questions

• Surds

  Surds Tutorial I
  Surds Tutorial II
  Surds Tutorial III
  Surds Tutorial IV

• Logarithms & Exponential Functions

  Logarithms Tutorial
  Solving Logarithmic Equations
  Solving Logarithmic Equations
  Solving Logarithmic Inequalities
  
  Change of Base Log Equations
  Logarithm Simplification
  More Logarithm Simplification
  
  Quadratic Log Equations
  Solving Equations using Logs
  
  Logs & Exponential Equations I
  Logs & Exponential Equations II
  
  Logarithmic Equations Exam Questions
  ln(x) & e^x equations I
  ln(x) & e^x equations II
  Exponential Growth & Decay

• Polynomials

  Adding & Subtracting Polynomials
  Multiplying Polynomials
  Dividing Polynomials (Algebraic Long Division)
  
  Solving Cubics using Polynomial Long Division
  The Remainder Theorem
  Remainder Theorem Exam Questions
  The Factor Theorem
  
  Factorising Cubics using the Factor Theorem I
  Factorising Cubics using the Factor Theorem II
  Factor Theorem Exam Questions
  Using the Remainder Theorem & Factor Theorem
  
  Remainder & Factor Theorem I
  Remainder & Factor Theorem II

• Geometry

  Pythagoras’ Theorem (Review)
  Trigonometric Ratios (Review)
  Three-dimensional Applications (Review)
  Sine Rule
  Cosine Rule
  The Ambiguous Case for the Sine Rule
  Area of a Triangle using Sine
  
  Trigonometric Questions with Bearings
  Area of Quadrilaterals (Review)
  Area of Circle (Review)
  
  Radian, Area of Sector & Segment
  Area of Sectors & Triangles
  Area of Circles, Sectors & Triangles
  
  Questions on Triangles I
  Questions on Triangles II

• Coordinate Geometry

  Midpoint & Distance Formula
  Parallel & Perpendicular Lines
  Equation of a Line I
  Equation of a Line II
  Distance of a Point from a Line
  Intersection of two straight lines
  
  Angle between two straight lines
  Equation of Circle Tutorial 1
  Equation of Circle Tutorial 2
  Equation of Circle Tutorial 3
  Equation of Circle Tutorial 4
  
  Find Equation of a Circle given Centre & Radius
  Find Centre & Radius given the Equation of a Circle
  Find Equation of a Circle given Three Points at the Circumference
  Equation of Circle & Distance Formula
  
  Equation of a Tangent to a Circle
  Equation of a Circle & the Tangent
  
  Equation of Circle Problems I
  Equation of Circle Problems II
  Centre of Circles & Chords
  Intersection of Two Circles

• Differentiation

  Differentiate axⁿ
  Differentiation Chain Rule
  Differentiation Product Rule
  Differentiation Quotient Rule
  
  Using the Chain Rule: Exponential, Log & Trig Functions
  Chain Rule (Core 3)
  Differentiate the Natural Log
  
  Product Rule Examples
  Quotient Rule Examples
  Chain Rule Examples
  
  Differentiation Combining Chain, Product & Quotient Rules I
  Differentiation Combining Chain, Product & Quotient Rules II
  Differentiation Combining Chain, Product & Quotient Rules III
  
  Product Rule to find Tangents & Normals
  Quotient Rule Stationary Points, Tangents & Normals
  Second Derivatives
  
  Tangents & Normal I
  Tangents & Normal II
  Increasing & Decreasing Functions
  Stationary Points I
  Stationary Points II
  
  Differentiation Lessons I
  Differentiation Lessons II
  Differentiation Lessons III
  Differentiation Exam Questions I
  Differentiation Exam Questions II
  Differentiation Exam Questions III
  Differentiation Exam Questions IV
  Differentiation Exam Questions V
  
  Differentiation: Connected Rates of Change
  Differentiation: Rates of Change Problems
  Differentiation: Maximum Volume
  Differentiation: Optimisation
  
  Lessons on Implicit Differentiation
  Differentiate Implicit Equations
  Implicit Differentiation Exam Questions
  Cubic Differentiation
  
  Tangents & Stationary Points to Implicit Curves
  Differentiating y = a^x
  Parametric Equations I
  Parametric Equations II
  Parametric Equations & Cartesian
  
  Differentiate Parametric Equations
  Differentiate Parametric Equations I
  Differentiate Parametric Equations II
  Differentiate Parametric Equations III
  
  Differential Equations I
  Differential Equations II
  Differential Equations III
  
  Differential First Order equation

• Integration

  Introduction to Integration
  Basic Integration Exam Questions
  Integration Help I
  Integration Help II
  Integration Help III
  Integration Help IV
  
  Integration by Substitution Tutorial I
  Integration by Substitution Tutorial II
  Integration by Substitution Exam Questions
  Integration by Parts Tutorial
  Integration by Parts Exam Questions I
  Integration by Parts Exam Questions II
  
  Trapezium Rule
  Trapezium or Trapezoid Rule
  Integration of Exponential & Natural Log Functions
  Integration of Trigonometric Functions I
  Integration of Trigonometric Functions II
  
  Integration: Mixed Examples I
  Integration: Mixed Examples II
  Definite Integral
  Area bounded by a Curve I
  Area bounded by a Curve II
  
  Integration: Area under a Graph Questions I
  Integration: Area under a Graph Questions II
  Integration: Area under a Graph Questions III
  Area within a Parametric Graph
  
  Volume of Revolution I
  Volume of Revolution II
  Parametric Integration

• Sequences & Series

  Recurrence Relations Tutorial
  Sequences: Recurrence Relations
  Sigma Notation
  Arithmetic Sequences & Series Tutorial
  Arithmetic Progressions
  
  Arithmetic Sequences & Series I
  Arithmetic Sequences & Series II
  Arithmetic Sequences & Series III
  Arithmetic Sequences & Series IV
  
  Geometric Series Tutorial
  Geometric Sequences & Series Tutorial I
  Geometric Sequences & Series Tutorial II
  Geometric Sequences & Series Tutorial III
  Geometric Sequences
  
  Geometric Series I
  Geometric Series II
  Geometric Series III
  Geometric Series IV
  Geometric Series V
  Geometric Series VI
  Geometric Sequences & Series

• Binomial Expansion

  Binomial Expansion Beginners Tutorial I
  Binomial Expansion Beginners Tutorial II
  Binomial Expansion Beginners Tutorial III
  
  Binomial Expansion Tutorial
  Binomial Expansion Formula
  Finding Terms in a Binomial Expansion
  Binomial Expansion C2 Exam Questions I
  Binomial Expansion C2 Exam Questions II
  Binomial Expansion C2 Exam Questions III
  
  Binomial Expansion C4 Exam Questions I
  Binomial Expansion C4 Exam Questions II
  Binomial Expansion Approximations & Estimations
  Binomial Expansions with Surds
  
  Binomial Expansion Examples I
  Binomial Expansion Examples II

• Trigonometry

  Trigonometry Tutorial 1
  Trigonometry Tutorial 2
  Trigonometry Tutorial 3
  Trigonometry Tutorial 4
  Trigonometry Tutorial 5
  
  Quadrant Method
  Solving Sin θ = + value
  Solving Sin θ = − value
  Solving Cos θ = + value
  Solving Cos θ = − value
  Solving Tan θ = + value
  Solving Tan θ = − value
  Solving Sin 2x = + value
  
  Trig Ratios for multiples of 30, 45 & 60 degrees
  Trigonometric Basics - Reciprocal Functions
  Trigonometric Equations - Factorising Types
  Trigonometric Equations - Identity Types
  
  Trigonometric Equations - Double Angle Identity Types
  Trig. Equations Examples using CAST Diagrams
  Solving Equations using Identities
  Trig. Equations : A sin x - B cos x = C Type
  
  Solving equations using reciprocal trig identities
  More Reciprocal Trig Identities
  Trig Identities Examples
  Evaluating Inverse Trig Values
  Quadratic Trigonometric Equations
  
  Proof of A sin x + B cos x = R sin (x + alpha)
  Proof of A cos x + B sin x = R cos (x - alpha)
  Proof of A sin x - B cos x = R sin (x - alpha)
  Proof of A cos x - B sin x = R cos (x + alpha)
  
  Proving Trig Identities I
  Proving Trig Identities II
  Proving Trig Identities III
  Proving Trig Identities IV
  Proving Trig Identities V
  
  Trigonometry C2 Exam Questions I
  Trigonometry C2 Exam Questions II
  Trigonometry C2 Exam Questions III
  
  Trigonometry C3 Exam Questions I
  Trigonometry C3 Exam Questions II
  Trigonometry C3 Exam Questions III
  Trigonometry C3 Exam Questions IV

• Vectors

  Vector Equation of a Line
  Vectors: Shortest Distance between point & line
  
  Vector Exam Questions I
  Vector Exam Questions II
  Vector Exam Questions III

Statistics & Probability

• Questions & Answers for A-level Edexcel GCE Statistics S1

  Permutation & Combination Tutorial
  Conditional Probability & Probability Tree Diagrams
  Probability & Venn Diagrams
  Probability Density Functions
  Correlation & Regression
  Continuous Random Variable: Mode, Mean & Variance
  
  Continuous Random Variable: Median, Quartiles & Percentiles
  Normal Distribution: Mean & Standard Deviation
  Normal Distribution: Probability in a given range
  
  Normal Distribution: Probability Example
  Using Normal Distribution to find Probabilities
  Using Normal Distribution as an Approximation to Binomial Distribution
  Cumulative Distribution Function
  
  Probability Distribution Table
  Discrete Random Variables
  Binomial Distribution Tutorial
  
  Binomial Distribution: Cumulative Probability Tables
  Poisson Approximation to the Binomial Distribution
  Binomial Distribution: Hypothesis Testing
  Binomial Distribution: Find Critical Values
  
  Poisson Distribution Tutorial
  Poisson Distribution: Hypothesis Testing
  Probability Exam Questions: Conditional Probability & Tree Diagrams
  
  Statistics Exam Questions: Correlation & Regression
  Statistics Exam Questions: Grouped Frequency Table
  Statistics Exam Questions: Normal Distribution
  Statistics Exam Questions: Discrete Probability Distribution

Mechanics

• Lessons on Mechanics

  Mechanics Tutorial Force & Moments
  Mechanics Newton’s Law of Motion, F=ma
  Resolving Forces Splitting a Force into Components
  Mechanics Exam Questions Forces
  Mechanics Exam Questions Force Vectors
  Mechanics Exam Questions Gravity & Acceleration
  
  Inclined Planes Finding Coefficient of Friction & Missing Angles
  Conservation of Momentum
  Mechanics Exam Questions Impulse, Momentum
  
  Mechanics Exam Questions Moments I
  Mechanics Exam Questions Moments II
  Mechanics Exam Questions Velocity-Time Graphs
  
  Mechanics Exam Questions Connected Particles I
  Mechanics Exam Questions Connected Particles II
  Mechanics Exam Questions Connected Particles III
  
  Friction, Limiting Equilibrium, Coefficient of Friction
  Mechanics Exam Questions Friction
  
  Mechanics Exam Questions Position & Velocity Vectors
  Mechanics Exam Questions Velocity Vectors
  Kinematics SUVAT equations I
  Kinematics SUVAT equations II
  Kinematics SUVAT equations III
  Kinematics SUVAT equations IV
  
  Kinematics Vertical Motion I
  Kinematics Vertical Motion II
  Kinematics Acceleration-Time & Speed-Time Graphs I
  Kinematics Acceleration-Time & Speed-Time Graphs II
  
  Moments 1 Basic example of taking moments
  Equilibrium - taking moments
  Moments 2 Example of non-uniform rod
  Finding the centre of a non-uniform rod
  Hanging a non-uniform bar
  
  Moments 3 Taking moments at an angle
  Sum of moments about a point
  Hanging rod in equilibrium

Further Pure Mathematics

• Lessons On Matrices

  Proof by Induction I Summation of series, Divisibility
  Proof by Induction II Recurrence Relations, Matrices
  Matrices Dimensions, Adding & Subtracting Matrices
  Matrices Scalar, Multiplying Matrices
  
  Matrices Basic Linear Transformations
  Matrices Finding Linear Transformations
  Matrices Multiple Linear Transformations
  Matrices Inverse & Determinants
  
  Matrices Area of image using determinants
  Matrices 2x2 Matrix to solve simultaneous equations
  Summing Finite Series I with limits, with geometric series, proof by induction
  Summing Finite Series II logs, unknown coefficients, finding 2n

• Complex Numbers

  Complex Numbers 1 Adding & subtracting complex numbers Simplifying purely imaginary parts Quadratics with complex roots
  Complex Numbers 2 Powers of i Multiplying Complex Numbers
  Complex Numbers 3 Conjugates Dividing Complex numbers Solving Equation with conjugate
  Complex Numbers 4 Sum & product of roots
  Complex Numbers 5 Plotting Argand Diagram
  Complex Numbers 6 Argand Diagram modulus Argand Diagram parallelogram law Finding Modulus & Argument Basics
  Complex Numbers 7 Polar Form r(cos0 + isin0) Polar Form to rectangular form
  Complex Numbers 8 Comparing imaginary numbers Square roots of a complex number
  Complex Numbers 9 Finding a quadratic Finding a cubic
  Complex Numbers 10 Finding a quartic equation Quartic equation on Argand Diagram

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.