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A Level Maths

Here, we have a collection of videos, activities and worksheets that are suitable for A Level Maths.

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 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 for Core 2 A-level Examination
A-level Examination Q1 - Q4
A-level Examination Q5 - Q8

Questions and Answers for Edexcel Core Mathematices C1 Jan 2011
C1 Jan 2011 Q1 - Q5
C1 Jan 2011 Q6 - Q10

Questions and Answers for Edexcel Core Mathematices C2 Jan 2011
C2 Jan 2011 Q1 - Q5
C2 Jan 2011 Q6 - Q10

Questions and Answers for Edexcel Core Mathematices C1 June 2010
C1 June 2010 Q1 - Q5
C1 June 2010 Q6 - Q11

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

Questions and Answers for Edexcel Core Mathematices 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 Mathematices C2 June 2009
Questions for C2 June 2009
C2 June 2009 Q1 - Q4
C2 June 2009 Q5 - Q9

Questions and Answers for Edexcel Core Mathematices 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 Mathematices 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 Mathematices 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 GCSE Additional Maths
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

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 e^x equations I
ln(x) and e^x equations II

Exponetial 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 Aambiguous 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
Volume

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
Differentiation: Chain Rule
Differentiation: Product Rule
Differentiation: Quotient 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 = a^x

Parametric Equations I
Parametric Equations II

Parametric Equations and Cartesian
Differentiate Parametric Equations

Differentiate Parametric Equations I
Differentiate Parametric Equations II
Differentiate Paramatric 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 Tutorial - Force and 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 and Acceleration

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 - Recurence Relations, Matricex

Matrices - Dimensions, Adding and Subtracting Matices
Matrices - Scalar, Multiplying Matrices
Matrices - Basic Linear Transformations
Matrices - Finding Linear Tranformations
Matrices - Multiple Linear Tramformations
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

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