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8159Proof : Proof by induction : Exam Question

8134Coordinate geometry : Tangents and normals : Exam Question

8026Complex Numbers : Complex equations : Exam Question

7835Complex Numbers : Complex equations : Exam timed O-test

7834Complex Numbers : Complex algebra : Exam timed O-test

7642Coordinate geometry : Focus - directrix : Exam Question

7569Coordinate geometry : Focus - directrix : O-test 2

7568Coordinate geometry : Focus - directrix : The parabola 4

7527Numerical Methods : Newton Raphson : O-test

7526Numerical Methods : Newton Raphson : Example 4

7168Matrix algebra : Inverses : O-test 2

7167Complex Numbers : Complex equations : Exam O-test 4

7166Complex Numbers : Complex algebra : Exam O-test

7165Matrix algebra : Transformations - inverses : O-test 5

7164Matrix algebra : Transformations - combinations : O-test

Imaginary numbers

Sum

Subtraction

Product

Division

Calculations

More calculations

Complex conjugate

Simplifying expressions

Modulus properties

Modulus and conjugate

Properties of conjugates

Properties 2

Properties 3

Properties 4

Properties 5

Calculations on a GDC

Matching O-test

Sequence O-test

O-test

Exam O-test

Exam O-test 1

Exam O-test 2

Exam timed O-test

Randomised Exam Q 2003

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2009

Summary

Definitions

Modulus and argument

Modulus and argument 2

Modulus and argument 3

Addition

Subtraction

Product

Quotient

O-test 1

O-test 2

O-test 3

Randomised Exam Q 2002

Randomised Exam Q 2002

Randomised Exam Q 2005

Randomised Exam Q 2006

Randomised Exam Q 2007

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Randomised Exam Q 2014

Introduction

Real and imaginary parts

Real and imaginary 2

Real and imaginary 3

Square roots

Quadratic equations

Conjugate roots

Conjugate roots 2

Cubics & conjugate roots

Cubics & conjugate roots 2

Cubic equations

Cubic equations 2

Quartic equations

Higher powers

Exam O-test 1

Exam O-test 2

Exam O-test 3

Exam O-test 4

Exam timed O-test

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2002

Randomised Exam Q 2002

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2008

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Xtra 1

Xtra 2

The Mandelbrot set videos

The Mandelbrot set

The Mandelbrot process

Zoom in on The Mandelbrot set

Example 1

Example 2

Example 3

Example 4

Example 5

Exam O-test

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2014

Introduction

Graphical illustration

Example 1

Example 2

Example 3

Example 4

Example 5

Exam O-test

Randomised Exam Q 2006

Randomised Exam Q 2008

Video introduction

Graphical illustration

Newtons method 2

Newtons method 3

Newtons method 4

Newtons method 5

Example 1

Example 2

Example 3

Example 4

Using a GDC

O-test

Exam O-test 1

Exam O-test 2

Randomised Exam Q 2002

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2009

Randomised Exam Q 2014

Second order

Second order 2

Asymptotes of a hyperbola

Exam O-test

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Introduction

Family of Conics using Polar Equations

Investigate Equation of Circle

The parabola

Rectangular hyperbola

Finding crossing points

Finding crossing points 2

Finding crossing points 3

The parabola

The parabola 2

The parabola 3

The parabola 4

The parabola 5

The parabola 6

O-test 1

O-test 2

Randomised Exam Q 2010

Parametric Parabola

The parabola 2

Parametric Rectangular Hyperbola

Exam O-test

Randomised Exam Q 2000

Randomised Exam Q 2009

Investigate Equation of Parabola

The parabola 2

The parabola 3

The parabola 4

The parabola 5

Investigate Equation of Rectangular Hyperbola

The rectangular hyperbola 2

The rectangular hyperbola 3

The rectangular hyperbola 4

The rectangular hyperbola 5

The rectangular hyperbola 6

O-test

Exam O-test

Randomised Exam Q 2008

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2015

Xtra 1

Xtra 2

What happens to y?

What happens to y? 2

Investigate asymptotes

Investigate asymptotes 2

Investigate asymptotes 3

Sloping asymptotes

Sloping asymptotes 2

Curved asymptotes

Finding asymptotes

Finding asymptotes 2

Finding asymptotes 3

Finding asymptotes 4

Approaching asymptotes

Matrix equations

Matrix equations 2

Matrix equations 3

Matrix equations 4

Matrix equations 5

Matrix equations 6

Matrix equations 7

O-test

Exam O-test

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2009

Inverses

Determinants

Determinants 2

Determinants 3

Determinants 4

Determinants 5

Inverses 2

Inverses 3

Inverses 4

Inverses 5

Inverses 6

Inverses 7

Property of Inverses

O-test 2

O-test 3

O-test 4

Exam O-test

Randomised Exam Q 2005

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2008

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Randomised Exam Q 2009

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Subtracting matrices

Adding matrices

Sums and products

Adding matrices 2

Adding matrices 3

O-test 1

O-test 2

Multiplying matrices

Multiplying matrices 2

Multiplying matrices 3

Multiplying matrices 4

Multiplying matrices 5

Multiplying matrices 6

Multiplying matrices 7

Multiplying matrices 8

The identity matrix

Multiplying by a scalar

Multiplying by a scalar 2

Multiplying by a scalar 3

Using scalars

Commutativity

Distributivity

Associativity

O-test 3

O-test 4

O-test 5

O-test 6

O-test 7

Exam O-test

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2009

Simultaneous equations

Simultaneous equations 2

Cramer's Rule

Randomised Exam Q 2007

Randomised Exam Q 2008

Various transformations

Various 2

Various 3

Find the matrix

Find the matrix 5

Find the matrix 6

Find the matrix 7

Find the matrix 8

Find the matrix 9

Find the matrix 10

Reflections

Rotations

Enlargements

Matching O-test

Quick O-test

O-test 2

O-test 3

O-test 4

Exam O-test

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

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Randomised Exam Q 2009

Randomised Exam Q 2014

Visual

Find the matrices

Find the matrices 2

Find the matrices 3

Example

Rotations

Enlargements

O-test

Transformations Example 1

Example 2

Example 3

Example 4

O-test 5

Transforming Coordinates Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Find the matrix

Invariant points

Invariant points 2

Invariant points 3

Invariant points 4

Invariant lines 2

Transforming the plane

O-test 1

O-test 2

O-test 3

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2008

Explanation

Explanation 2

Explanation 3

Using the notation

O-test

Sum of 1st n integers

Integers 2

Integers 3

First n odd numbers

Summation formulae

Summation formulae 2

Summation formulae 3

Summation formulae 5

Summation formulae 4

Summation formulae 6

Exam O-test

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2006

Randomised Exam Q 2008

Randomised Exam Q 2009

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Randomised Exam Q 2014

Randomised Exam Q 2014

Randomised Exam Q 2014

Symbols in Proofs

Introduction

Introduction continued

Sum of series

Sum of series 2

Sum of squares

De Moivre's theorem

Sequences

Sequences 2

Factorials

Divisibility

Divisibility 2

Matrices

Matrices 2

O-test

Randomised Exam Q 2005

Randomised Exam Q 2006

Randomised Exam Q 2008

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Mindmap

Glossary and quiz