A Level Maths



Need some A Level Maths help?
We have a collection of videos, activities and worksheets that are suitable for A Level Maths. Some materials here are also relevant for IGCSE/GCSE Additional Mathematics.

In our lessons here, we shall cover

  • Worked solutions for some A-level maths examinations.
  • Concepts that you will need to know for the A-level Maths: Algebra, Tranformation 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.

Questions and Answers for OCR 4721 Core Mathematics 1

Questions for OCR 4721 Core Mathematics 1 Jan 2010 Core Mathematics 1 January 2010 Q1-Q4
Core Mathematics 1 January 2010 Q5-Q8 Core Mathematics 1 January 2010 Q9-Q11

Practice test and answers for Core 1 A-level Examination

A-level Examination Q1 - Q6 A-level Examination Q7 - Q10
A-level Examination Paper 2 Q1 - Q5 A-level Examination Paper 2 Q1 - Q5

Practice test and answers for Core 2 A-level Examination

A-level Examination Q1 - Q4 A-level Examination Q5 - Q8

Questions and Answers for Edexcel Core Mathematics C1 Jan 2011

C1 Jan 2011 Q1 - Q5 C1 Jan 2011 Q6 - Q10

Questions and Answers for Edexcel Core Mathematics C2 Jan 2011

C2 Jan 2011 Q1 - Q5 C2 Jan 2011 Q6 - Q10

Questions and Answers for Edexcel Core Mathematics C1 June 2010

C1 June 2010 Q1 - Q5 C1 June 2010 Q6 - Q11


Questions and Answers for
Edexcel Core Mathematics C2 June 2010
C2 June 2010 Q1 - Q5 C2 June 2010 Q6 - Q10

Questions and Answers for Edexcel Core Mathematics C3 Jan 2010

Questions for C3 January 2010 C3 January 2010 Q1, Q2
C3 January 2010 Q3, Q4 C3 January 2010 Q5, Q7
C3 January 2010 Q8, Q9  

Questions and Answers for Edexcel Core Mathematics C2 June 2009

Questions for C2 June 2009 C2 June 2009 Q1 - Q4
C2 June 2009 Q5 - Q9  

Questions and Answers for Edexcel Core Mathematics C3 Jan 2009

Questions for C3 Jan 2009 C3 January 2009 Q1, Q2
C3 January 2009 Q3, Q4 C3 January 2009 Q5
C3 January 2009 Q6 C3 January 2009 Q7
C3 January 2009 Q8  

Questions and Answers for Edexcel Core Mathematics C3 June 2009

Questions for C3 June 2009 C3 June 2009 Q1, Q2
C3 June 2009 Q3 C3 June 2009 Q4
C3 June 2009 Q5 C3 June 2009 Q6
C3 June 2009 Q7, Q8  

Questions and Answers for Edexcel Core Mathematics C3 Jan 2007

Questions for C3 Jan 2007 C3 Jan 2007 Q1, Q2
C3 Jan 2007 Q3, Q4 C3 Jan 2007 Q5
C3 Jan 2007 Q6 C3 Jan 2007 Q7, Q8

Questions and Answers for IGCSE/GCSE Additional Mathematics

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

GCSE Review

Bridging the gap between GCSE Maths and A-level Maths

Fractions and 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 EquationsElimination
Simultaneous Linear EquationsSubstitution Simultaneous Linear Equations - Graphical
Factorising and Solving Quadratic Equations I Factorising and Solving Quadratic Equations II
Completing the Square I Completing the Square II
Sketching a Quadratic Graph by Completing the Square Completing the Square and 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 and Non-Linear I
Simultaneous Equations - Linear and 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 and Range of Inverse Functions Combined or Composite Functions
Composite Function Exam Questions Even and Odd Functions
Modulus Functions Function Exam Questions I
Function Exam Questions II Function Exam Questions III
Function Exam Questions IV Inverse and Self-Inverse Functions Exam Questions



Indices

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

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

Logarithms and 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 and Exponential Equations I
Logs and Exponential Equations II Logarithmic Equations Exam Questions
ln(x) and ex equations I ln(x) and ex equations II
Exponential Growth and Decay  

Polynomials

Adding and 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 and Factor Theorem Remainder and Factor Theorem I
Remainder and 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 and Triangles
Area of Circles, Sectors and Triangles Questions on Triangles I
Questions on Triangles II  

Coordinate Geometry

Midpoint and Distance Formula Parallel and 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 and Radius
Find Centre and Radius given the Equation of a Circle Find Equation of a Circle given Three Points at the Circumference
Equation of Circle and Distance Formula Equation of a Tangent to a Circle
Equation of a Circle and the Tangent Equation of Circle Problems I
Equation of Circle Problems II Centre of Circles and Chords
Intersection of Two Circles  




Differentiation

Differentiate axn DifferentiationChain Rule
DifferentiationProduct Rule DifferentiationQuotient Rule
Using the Chain Rule: Exponential, Log and Trig Functions Chain Rule (Core 3)
Differentiate the Natural Log Product Rule Examples
Quotient Rule Examples Chain Rule Examples
Differentiation Combining Chain, Product and Quotient Rules I Differentiation Combining Chain, Product and Quotient Rules II
Differentiation Combining Chain, Product and Quotient Rules III Product Rule to find Tangents and Normals
Quotient Rule Stationary Points, Tangents and Normals Second Derviatives
Tangents and Normal I Tangents and Normal II
Increasing and 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 and Stationary Points to Implicit Curves
Differentiating y = ax Parametric Equations I
Parametric Equations II Parametric Equations and 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  



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 and 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 and Series

Recurrence Relations Tutorial Sequences: Recurrence Relations
Sigma Notation Arithmetic Sequences and Series Tutorial
Arithmetic Progressions Arithmetic Sequences and Series I
Arithmetic Sequences and Series II Arithmetic Sequences and Series III
Arithmetic Sequences and Series IV Geometric Series Tutorial
Geometric Sequences and Series Tutorial I Geometric Sequences and Series Tutorial II
Geometric Sequences and 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 and 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 and 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 and 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 and line
Vector Exam Questions I Vector Exam Questions II
Vector Exam Questions III Vector Exam Questions IV



Statistics and Probability

Questions and Answers for A-level Edexcel GCE Statistics S1 June 2007

Questions for S1 June 2007 A-Level Edexcel S1 June 2007 Q1 Correlation
A-Level Edexcel S1 June 2007 Q2 Box Plots A-Level Edexcel S1 June 2007 Q3 Regression
A-Level Edexcel S1 June 2007 Q4 Venn Diagrams A-Level Edexcel S1 June 2007 Q5 Histogram
A-Level Edexcel S1 June 2007 Q6 Normal Distribution A-Level Edexcel S1 June 2007 Q7 Discrete Random Variables
Permutation and Combination Tutorial Conditional Probability and Probability Tree Diagrams
Probabilty and Venn Diagrams Probability Density Functions
Correlation and Regression Continuous Random Variable: Mode, Mean and Variance
Continuous Random Variable: Median, Quartiles and Percentiles Normal Distribution: Mean and 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 and Regression
Statistics Exam Questions: Grouped Frequency Table Statistics Exam Questions: Normal Distribution
Statistics Exam Questions: Discrete Probability Distribution  



Mechanics

Mechanics TutorialForce and Moments MechanicsNewton's Law of Motion, F=ma
Resolving ForcesSplitting a Force into Components Mechanics Exam QuestionsForces
Mechanics Exam QuestionsForce Vectors Mechanics Exam QuestionsGravity and Acceleration
Inclined Planes Finding Coefficient of Friction & Missing Angles Conservation of Momentum
Mechanics Exam QuestionsImpulse, Momentum Mechanics Exam QuestionsMoments I
Mechanics Exam QuestionsMoments II Mechanics Exam QuestionsVelocity-Time Graphs
Mechanics Exam QuestionsConnected Particles I Mechanics Exam QuestionsConnected Particles II
Mechanics Exam QuestionsConnected Particles III Friction, Limiting Equilibrium, Coefficient of Friction
Mechanics Exam QuestionsFriction Mechanics Exam QuestionsPosition and Velocity Vectors
Mechanics Exam QuestionsVelocity 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 and Speed-Time Graphs I
Kinematics Acceleration-Time and 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

Proof by Induction I Summation of series, Divisibility Proof by Induction II Recurrence Relations, Matrices
Matrices Dimensions, Adding and Subtracting Matrices Matrices Scalar, Multiplying Matrices
Matrices Basic Linear Transformations Matrices Finding Linear Transformations
Matrices Multiple Linear Transformations Matrices Inverse and 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 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 and 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

Differential First Order equation



OML Search

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

Find Tutors

OML Search