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8182Complex Numbers : Loci : Exam Question

8162Continuous Random Variables : Probability density functions : Exam Question

8155Coordinate geometry : Circles : Exam Question

8134Coordinate geometry : Tangents and normals : Exam Question

8128Continuous Random Variables : Expectation theory : Exam Question

4908Complex Numbers and Quadratic Equations : Complex numbers : Exam Question

4882Constructions : Tangent to a circle from a point outside it : Midpoint 1

2631Constructions : Equilateral triangles : Midpoint 1

2031Constructions : 60, 90, 45 degree angles : Midpoint 1

34Coordinate Geometry : Plotting points : Squares 2

33Coordinate Geometry : Cartesian plane : Squares 2

8093Coordinate geometry : Straight lines : Exam Question

8091Coordinate geometry : Circles : Exam Question

8088Coordinate geometry : Straight lines : Exam Question

8082Coordinate Geometry : Circles - geometry : Exam Question

O-test 2

The rule 1

The rule 2

Various functions

Negative powers 1

Negative powers 2

Example 1

Example 2

Example 3

Example 4

O-test 1

O-test 3

O-test 4

O-test 1

Investigate gradient

Curves

Example 1

Example 2

Example 3

Example 4

O-test 2

Distance/time graphs

Definitions

Example 1

Example 2

Example 3

Example 4

Example 5

O-test 1

O-test 2

Example 1

Tangents 5

Tangents 4

Tangents 3

Tangents 1

Tangents 2

Normals 1

Normals 2

O-test 1

O-test 2

O-test 3

O-test 4

O-test 5

Vocabulary O-test

Definitions 1

Definitions 2

Definitions 3

Definitions 4

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Example 11

Example 12

Example 13

Example 14

O-test 1

O-test 2

O-test 3

A cone

A funnel

A hemisphere

A quadratic

An exponential

O-test

Exam O-test

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2008

Particles 6

Particles 5

Particles 4

Particles 3

Particles

Rods 2

Rods

Particles 2

Particles 7

O-test 1

Composite bodies 2

Composite bodies 3

Rods

Laminas 2

Parallelograms

Triangles 3

Triangles 2

Semicircles

Composite bodies

Composite bodies 4

O-test 2

Lamina with hole

Lamina with hole 2

Plate and weights

Plate and weights 2

Randomised Exam Q 2005

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2010

Randomised Exam Q 2014

Using integration 1

Using integration 2

Using integration 3

Using integration 4

Using integration 5

Using integration 6

Simplified version

Simplified version 2

O-test

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2008

Investigate

Example

Example 2

A cone

A funnel

A sphere

About the y-axis

Example 11

Example 5

Example 4

Example 3

O-test 4

O-test 3

O-test 2

O-test 1

How to use...

Example 2

Example 1

Example 6

Example 7

Example 8

Example 9

Example 10

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Example 20

Example 21

Example 22

Example 23

Example 24

Example 25

Example 26

Example 27*

Example 28*

Example 29

O-test 5

O-test 1

Arc length 1

Arc length 2

Sector area 1

Sector area 2

Segments 1

Example 1

Example 2

O-test 2

Perimeter and area

Example 1

Example 2

Angle at the centre - proof

Angle in a semicircle - proof

Angles in same segment - proof

Cyclic quadrilaterals - proof

Spot the Mistake 1

Spot the Mistake 2

Spot the Mistake 3

O-test 1

O-test 2

Angle in a semicircle

Angles in the same segment

Angle at the centre

Cyclic quadrilaterals

Alternate segment

Angle between tangent and radius

Tangents from a point

Perpendicular to a chord

Questions and responses

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

How to...

Example 1

Example 3*

Example 2

Example 4

Example 5

Example 6

Example 7

Exam O-test

O-test 1

O-test 2

O-test 3

O-test 4

O-test 5

Data Handling Cycle O-test

O-test

Conservation of momentum

Basic simulation

Momentum and impulse

Cricket ball

Two balls of putty

Randomised Exam Q 2006

Randomised Exam Q 2010

Smooth surfaces

Elastic and inelastic collisions

Example 1

Example 2

Restitution simulation

Example 3

Coefficient of restitution

Coefficient of restitution 2

Bouncing simulation

Impact with a fixed surface

A bouncing ball

A bouncing ball 2

O-test

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2010

Simulation

Simulation 2

Poisson distributions

Combining normal distributions

Combining normal distributions 2

Probabilities

Probabilities 2

Probabilities 3

Probabilities 4

O-test 1

Temperature

Bottles of wine

Exam time

Box

Batteries

Cherry cakes

Vending machine

Sheets of paper 1

Rods and tubes

Sheets of paper 2

Mean mass

Poisson probabilities

Motorway traffic

Football scores

O-test 2

Exam O-test

Exam O-test

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2002

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2008

Graphing X+Y

Graphing X-Y

Graphing aX

Graphing aX+bY

Graphing aX-bY

Summary

Definitions

Modulus and argument

Modulus and argument 2

Modulus and argument 3

O-test 1

O-test 2

Addition

Subtraction

Product

Quotient

O-test 3

Randomised Exam Q 2002

Randomised Exam Q 2002

Randomised Exam Q 2005

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2014

Division

Imaginary numbers

Subtraction

Sum

Product

Complex conjugate

Calculations

More calculations

O-test

Simplifying expressions

Modulus properties

Sequence O-test

Matching O-test

Properties of conjugates

Properties 2

Properties 3

Properties 4

Properties 5

Modulus and conjugate

Calculations on a GDC

Exam O-test 1

Exam O-test 2

Exam O-test

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

Square roots

Introduction

Real and imaginary parts

Real and imaginary 2

Real and imaginary 3

Quadratic equations

Conjugate roots

Conjugate roots 2

Cubics & conjugate roots

Cubics & conjugate roots 2

Higher powers

Cubic equations

Cubic equations 2

Quartic equations

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

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Randomised Exam Q 2010

Randomised Exam Q 2010

Randomised Exam Q 2014

Roots

Polar form

Polar form 2

Polar form 3

Properties of polar form

De Moivre's theorem

Trig identities

Trig identities 2

Trig identities 3

Powers

Roots 2

nth roots

nth roots of unity

O-test

Randomised Exam Q 2008

Definition

A proof

More proofs

Logarithms

Straight line 4

Straight line 5

Straight line 6

Transformations of the circle

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2015

Xtra 2

Xtra 1

The Mandelbrot set videos

The Mandelbrot set

The Mandelbrot process

Randomised Exam Question

Silver

Steel

Gold

Iron

Bricks

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

O-test 1

O-test 2

Exam O-test 1

Exam O-test 2

Example 1

Perpendicular bisector 2

Equilateral triangle 1

Square

Triangle

Equilateral triangle 2

Perpendicular bisector 1

Midpoint 1

Midpoint 2

Parallelogram

Trapezium

Rhombus

Circumcircle

Perpendicular from a point on a line

Perpendicular from a point to a line

A regular hexagon

Bisector of a given angle

90_DEG_ angle

45_DEG_ angle

60_DEG_ angle

30_DEG_ angle

Ordering O-test 1

Ordering O-test 2

Ordering O-test 3

Ordering O-test 4

Ordering O-test 5

Equal distances

Fixed distance from a point

Region bounded by circle

Equal distance from 2 points

Equal distance from 2 lines

Dog on a lead

O-test 1

Midpoint 1

Midpoint 1

Midpoint 1

To the Binomial 3

To the Binomial 2

To the Poisson

Boys and girls

Tetrahedral die

Coins

To the Poisson 2

Checkout queues

O-test 1

Typing errors

O-test 2

Telephone exchange

Emails

Accidents

Newspaper errors

Compare the distributions

Continuity correction

Exam O-test

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2002

Randomised Exam Q 2003

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2008

Definition

Expectation

Mean and variance

Probabilities

Visualise Continuous Uniform Dist.

Probabilities 2

Using calculus

A piece of string

Find the distribution

Exam O-test

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2003

Randomised Exam Q 2004

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2009

Find F(x) 1

Find F(x) 2

Find F(x) 3

Find F(x) 4

Find the pdf

Exam O-test 1

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2003

Randomised Exam Q 2003

Randomised Exam Q 2006

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Expectation of a function of X

Expectation of a function of X 2

Expectation of a function of X 3

Expectation of a function of X 4

Variance of a function of X

Variance of a function of X 2

Variance of a function of X 3

Variance of a function of X 4

Exam O-test 2

Randomised Exam Q 2009

Randomised Exam Q 2014

Calculate probabilities 3

Visualise a(x + b) Pdf

Visualise a(b - x) Pdf

Visualise Quadratic Pdf

Visualise Simple Cubic Pdf

Visualise Composite Pdf

Verify a PDF

Verify a PDF 2

Calculate probabilities 2

Calculate probabilities

Mean

Mean 2

Mean 3

Mean 4

Variance

Variance 2

PDFs using a GDC

O-test

Randomised Exam Q 2000

Randomised Exam Q 2015

Calculate the median 4

Calculate the median 3

Find the median using a GDC

Calculate the median 2

Calculate the median

Visualise the median

Visualise the median 2

Visualise the median 3

O-test

Randomised Exam Q 2008

Calculate the mode

Visualise the mode

Calculate the mode 2

Calculate the quartiles

Visualise the quartiles

Visualise the quartiles 2

Visualise the quartiles 3

What happens to y?

What happens to y? 2

Example 1

Asymptotes of y=a/(x-b)

Asymptotes of y=(ax+b)/((x-c)(x-d))

Sloping asymptotes 2

Sloping asymptotes

Finding asymptotes

Finding asymptotes 2

Finding asymptotes 3

Finding asymptotes 4

Approaching asymptotes

Asymptotes of a hyperbola

Exam O-test

Exam O-test

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Squares 2

O-test 1

Introduction

Centred at the origin 1

Centred at the origin 2

Angle in a semicircle

Centred at the origin 3

Centred anywhere 1

Centred anywhere 2

Centred anywhere 3

Intersecting circles

Touching externally

Touching internally

The common chord

The common tangent

Graphing on a GDC

Randomised Exam Q 2013

Randomised Exam Q 2015

Find the equation 4

Find the equation 3

Centre and radius 4

Centre and radius

Investigate Equation of Circle

O-test 4

O-test 5

Matching Circles

Centre and radius 2

Centre and radius 3

Area and circumference

O-test 1

Find the equation 2

Find the equation

Find the equation 6

Timed O-test

True or false 1

True or false 2

O-test 3

O-test 2

Lines and circles 2

Lines and circles 3

Circles and chords 2

True or false O-test

O-test 7

O-test 6

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 2003

Randomised Exam Q 2003

Randomised Exam Q 2004

Randomised Exam Q 2004

Randomised Exam Q 2004

Randomised Exam Q 2005

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Randomised Exam Q 2010

Randomised Exam Q 2010

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Randomised Exam Q 2010

Randomised Exam Q 2011

Randomised Exam Q 2011

Randomised Exam Q 2013

Investigate Equation of Circle

Family of Conics using Polar Equations

The parabola

The ellipse

The hyperbola

Rectangular hyperbola

The super-ellipse

Midpoint 3

Distance between 2 points

Midpoint

Coordinates and points

Observation O-test

Midpoint 2

Midpoint 4

Distance between 2 points 2

Distance between 2 points 3

Isosceles triangle

Vocabulary O-test

Sides of a triangle

Parallelogram

Isosceles triangle 2

Timed O-test

True or false O-test

O-test 1

O-test 2

O-test 3

O-test 4

Randomised Exam Q 2005

Randomised Exam Q 2006

Finding crossing points

Finding crossing points 2

Finding crossing points 3

The parabola 2

The parabola 3

The ellipse

The parabola 4

The parabola 5

The ellipse 2

The parabola 6

The ellipse 3

The ellipse 4

The ellipse 6

The ellipse 5

The hyperbola

The hyperbola 2

The hyperbola 3

O-test 1

O-test 2

O-test

Exam O-test

Randomised Exam Q 2002

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2010

Find the gradient

Find the gradient 2

The gradient using tan t

Collinear points

True or false O-test

O-test 1

O-test 2

Timed O-test

Randomised Exam Q 2000

Randomised Exam Q 2008

Product/Chain Rules in Implicit Diff.

Chain Rule in Implicit Diff.

Implicit Diff. of Ellipse

Implicit Diff. of Hyperbola

Velocity and mass

Definition

Definition 2

O-test

Example 1

Randomised Exam Q 2006

Parametric Parabola

The parabola 2

Lissajous Curves

Parametric Ellipse

Conchoids of Nicomedes

Parametric Hyperbola

More Parametric Curves

Parametric Rectangular Hyperbola

Various curves 4

Cycloids

More cycloids

Plotting on a GDC

Exam O-test

Exam O-test

Randomised Exam Q 2000

Randomised Exam Q 2009

Randomised Exam Q 2009

Assessment

Example 1

Example 2

Example 3

Example 4

Example 5

Matching O-test

Plotting O-test 1

Plotting O-test 2

Exam O-test

Exam timed O-test

Randomised Exam Q 2000

Randomised Exam Q 2003

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Squares 2

Curvature 4

Curvature 5

Find the curvature

Find the curvature 2

Find the curvature 3

Find the curvature 4

Radius of curvature 1

Radius of curvature 2

Radius of curvature 3

Radius of curvature 4

Radius of curvature 5

The circle of curvature

O-test 1

O-test 2

Randomised Exam Q 2002

Randomised Exam Q 2006

Curve recognition

Asymptotes or not?

Quadratic denominator 3

Quadratic over quadratic 2

Quadratic over quadratic

Quadratic denominator

Introduction

Linear denominator

y=(x-a)/(x-b)

y=(x-a)/(x²-b)

Linear denominator 2

A decreasing function

Plotting O-test 1

Sketch the graph

Plotting O-test 2

Quadratic denominator 2

Using a GDC

Exam O-test

Randomised Exam Q 2000

O-test 2

Straight line recognition 3

Finding equations

Equations in intercept form

Straight line recognition 2

ax+by+c=0

Practise

Match Lines (y=mx+c) to Points

y-y

_{1}=m(x-x_{1})Plot y=mx+c

Introduction

Observation O-test

Match Lines (y=mx+c)

Straight line recognition

Finding equations 2

Finding equations 3

O-test 1

O-test 3

Finding parallel lines

Finding parallel lines 2

Finding parallel lines 3

Perpendicular gradients

Perpendicular gradients 2

Right angles

Finding perpendicular lines 2

Finding perpendicular lines 3

Finding perpendicular lines 4

O-test 4

Vocabulary O-test

Finding lines - the method

Linear graph quiz

True or false

True or false 2

True or false O-test 1

True or false O-test 2

Quiz

Quiz 2

Timed O-test

O-test 5

O-test 6

Exam O-test 1

Exam O-test 2

Exam O-test 3

Exam O-test 4

Exam O-test 5

Exam O-test 6

Exam O-test 7

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2002

Randomised Exam Q 2002

Randomised Exam Q 2003

Randomised Exam Q 2003

Randomised Exam Q 2003

Randomised Exam Q 2004

Randomised Exam Q 2004

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Randomised Exam Q 2013

Randomised Exam Q 2013

Randomised Exam Q 2013

Randomised Exam Q 2014

Randomised Exam Q 2014

Randomised Exam Q 2014

The formulae

Memorise the formulae

Investigate the Rectangular Hyperbola

Investigate Equation of Parabola

The parabola 2

The circle

Investigate Equation of Ellipse

The parabola 3

The ellipse

The parabola 4

The ellipse 2

The hyperbola

The parabola 5

Investigate Equation of Hyperbola

The hyperbola 2

Other curves

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

Dividing straight lines in ratios

Straight line equations

Example 1

Example 2

Xtra 1

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

Linear

Quadratic

Cubic

Trig

Rational

Rational 2

Rational 3

Rational 4

Rational 5

Rational 6

Plotting

Plotting 2

Plotting 3

Plotting 4

Turning points

Turning points 2

Kites

Parallelograms

Equilateral triangle

Rectangles 1

Rectangles 2

Squares 1

Squares 2

Midpoints

Investigate 4

Investigate 3

Investigate 1

Investigate 2

How to...

Investigate midpoints 1

Investigate midpoints 2

Distance between coordinates

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Example 11

Example 12

O-test

Observation O-test 1

Timed O-test 1

Observation O-test 2

Timed O-test 2

Mistake 1

Mistake 2

Calculate the PMCC 3

Calculate the PMCC 2

Calculate Sxx, Syy and Sxy 2

Calculate Sxx, Syy and Sxy 1

Babies

The PMCC

Two dice

Football

O-test 1

Calculate the PMCC

Plotting points

Guess the PMCC

Calculate sx, sy & sxy 1

Calculate sx, sy & sxy 2

Timed O-test

Calculate the PMCC

Calculate the PMCC 2

Population v. area

Population v. area

Traffic accidents

Sheep

Calculate the PMCC on a GDC

Exam O-test 1

Exam O-test 2

Exam timed O-test

Randomised Exam Q 2001

Randomised Exam Q 2001

Randomised Exam Q 2001

Randomised Exam Q 2001

Randomised Exam Q 2003

Randomised Exam Q 2003

Randomised Exam Q 2007

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Randomised Exam Q 2010

Randomised Exam Q 2011

PMCC tables

O-test 2

PMCC hypothesis test

Randomised Exam Q 2000

Calculate the regression line 3

Football

Use the regression line 2

Scatter diagrams

More on Scatter diagrams

Least squares

Using the mean point

Calculate the regression line

Calculate the regression line 2

Timed O-test

Calculate the regression line 2

Calculate the regression line 2

O-test

The regression line on a GDC

Using the regression line

Use the regression line 2

Correlation & regression on a GDC

True or false

Vocabulary

Standard error of residuals

Standard error of slope

Confidence interval for b

Hypothesis test for b

Exam O-test 1

Exam O-test 2

Exam timed O-test

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2001

Randomised Exam Q 2001

Randomised Exam Q 2002

Randomised Exam Q 2003

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Randomised Exam Q 2005

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Randomised Exam Q 2011

Hypothesis test 2

Find Spearman's coefficient 2

Find Spearman's coefficient

Hypothesis test

The 10 richest rock musicians

The 10 most populated countries

The 10 largest countries

The 10 poorest countries

The 10 richest countries

The 10 highest earning films

10 life expectancies

No correlation

Ranking data

Spearman tables

Exam O-test

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2008

Critical path analysis

Precedence Example 1

Example 2

Example 3

Ordering activities

Mindmap