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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 2

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

7642Coordinate geometry : Focus - directrix : Exam O-test

7569Coordinate geometry : Focus - directrix : Finding tangents 1

7568Coordinate geometry : Focus - directrix : O-test 2

7527Numerical Methods : Newton Raphson : Exam Question

7526Numerical Methods : Newton Raphson : O-test

7168Matrix algebra : Inverses : Simplifying O-test 2

7167Complex Numbers : Complex equations : O-test 2

7166Complex Numbers : Complex algebra : Exam O-test 4

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

7164Matrix algebra : Transformations - combinations : O-test 5

Cubic equations

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

Example 2

Calculations on a GDC

Exam O-test 2

Exam O-test 2

O-test 2

Exam O-test 4

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 3

Exam O-test

O-test

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 2008

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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 2

Finding crossing points 3

Example 5

Higher powers

Exam O-test 2

O-test

Exam O-test 2

O-test 2

Exam timed O-test 2

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

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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

The parabola 5

Exam O-test

Randomised Exam Q 2006

Randomised Exam Q 2008

Randomised Exam Question

Graphical illustration

Newtons method 2

Newtons method 3

Newtons method 4

Newtons method 5

Example 1

Example 2

Example 3

O-test

Using a GDC

Randomised Exam Question

Exam O-test

Exam O-test

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 2

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Introduction

Investigate Equation of Circle

Family of Conics using Polar Equations

The parabola

Rectangular hyperbola

Finding crossing points

Finding crossing points 2

Inverses on a GDC

The parabola

The parabola 2

The parabola 3

O-test 2

The parabola 6

The rectangular hyperbola 2

O-test

Finding tangents 1

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 4

The parabola 3

The parabola 5

The rectangular hyperbola 4

Investigate Equation of Rectangular Hyperbola

The parabola 2

The rectangular hyperbola 3

The rectangular hyperbola 5

The rectangular hyperbola 6

Multiplying matrices

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? 2

Investigate asymptotes

Investigate asymptotes 2

Investigate asymptotes 3

Sloping asymptotes

Sloping asymptotes 2

Finding asymptotes

Curved asymptotes

Finding asymptotes 2

Finding asymptotes 3

Finding asymptotes 4

Approaching asymptotes

Randomised Exam Question

Matrix equations

Matrix equations 2

Matrix equations 3

Matrix equations 4

Matrix equations 5

Matrix equations 6

Matrix equations 7

O-test 3

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

Simplifying O-test 2

O-test 5

O-test 1

Exam O-test 1

Randomised Exam Q 2005

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2008

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Adding matrices

Subtracting matrices

Sums and products

Adding matrices 2

Adding matrices 3

O-test 1

O-test 1

Multiplying matrices 3

Multiplying matrices 2

Multiplying matrices 6

Multiplying matrices 4

Multiplying matrices 5

Multiplying matrices 7

Find the matrix

Commutativity

The identity matrix

Multiplying by a scalar

Multiplying by a scalar 2

Multiplying by a scalar 3

Multiplying matrices 8

Pauli matrices

Distributivity

Example 3

O-test 2

Exam O-test 1

O-test 6

O-test 3

O-test 2

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

Minors 2

Randomised Exam Q 2007

Randomised Exam Q 2008

Various transformations

Various 2

Various 3

Find the matrix

Find the matrix 6

Find the matrix 7

Find the matrix 8

Find the matrix 9

Find the matrix 10

Find the matrices

Reflections

Rotations

Enlargements

Matching O-test

Quick O-test

O-test 3

O-test 4

O-test 2

O-test 2

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

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Randomised Exam Q 2009

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Randomised Exam Q 2009

Randomised Exam Q 2014

Visual

Find the matrices 2

Find the matrices 3

Straight line 4

Example

Rotations

Enlargements

O-test 5

Transformations Example 1

Example 2

Example 3

Example 4

Exam O-test

Transforming Coordinates Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Explanation 2

Invariant points

Invariant points 2

Invariant points 3

Invariant points 4

Randomised Exam Question

Invariant lines 2

Transforming the plane

O-test 2

O-test 3

O-test

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2008

Using the notation

Explanation 3

Integers 2

Randomised Exam Question

O-test 1

Sum of 1st n integers

Integers 3

Summation formulae 6

Factorials

Summation formulae

Summation formulae 2

Summation formulae 3

Summation formulae 5

Summation formulae 4

Divisibility

Exam O-test 1

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

Example 1

Matrices

Divisibility 2

Matrices 2

Randomised Exam Question

Exam O-test 2

Randomised Exam Q 2005

Randomised Exam Q 2006

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Mindmap

Glossary and quiz