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1462Calculus : Integration : Exam Question
1461Statics : Friction : Exam Question
1460Dynamics : Constant Acceleration : Exam Question
1459Dynamics : Coefficient Constant Acceleration of friction : Exam Question
1458Dynamics : Coefficient Constant Acceleration of friction : Exam Question
1455Dynamics : Coefficient of friction : Exam Question
1452Dynamics : Constant Acceleration : Exam Question
8193Differentiation : Trig functions : Visualise cos (x ± a) Addition Formulae
8192Differentiation : Trig functions : Visualise sin (x ± a) Addition Formulae
8169Differentiation : Implicit differentiation : Exam Question
8167Differentiation : ex : Exam Question
8157Differentiation : Trig functions : Exam Question
8147Differentiation : First principles : Exam Question
8143Dynamics : Collisions : Exam Question
8132Differentiation : Implicit differentiation : Exam Question
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Timed O-test 1
O-test 1
O-test 3
O-test 2
Rounding off 1
Rounding off 2
Rounding off 3
Significant figures 1
Approximate answers 1
Approximate answers 2
Approximate answers 3
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
Example 15
Example 16
Example 17
Example 18
Example 19
Example 20
Example 21
Ordering O-test 1
Ordering O-test 2
Ordering O-test 3
O-test 4
Timed O-test 2
Example 26*
Timed O-test
Example 1
Example 3
Example 2
Example 5
Example 4
Example 6
Example 7
Example 8
Example 9
Example 10
Example 11
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 27*
Example 28*
Example 29*
Example 30*
Example 31*
Example 32*
Example 33*
Money wall O-test 1
Money wall O-test 2
O-test 1
O-test 2
O-test 3
O-test 4
O-test 5
O-test 6
O-test 7
Divide integers by powers of 10
Divide decimals by powers of 10
Column multiplication
Number machine 1
Number machine 2
Short division
Number wall O-test 1
Number wall O-test 2
Multiple choice O-test
Timed O-test 1
Timed O-test 2
Timed FT O-test
Estimation and calculation
Observation and calculation
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9
Example 10
O-test
Timed O-test
Mistake 1
Mistake 2
Mistake 3
Multiple choice O-test
Ordering O-test 1
Ordering O-test 2
Ordering O-test 3
Ordering O-test 4
Arithmagon O-test
Column addition
Magic square O-test 1
Magic square O-test 2
Magic square O-test 3
Number wall O-test 1
Number wall O-test 2
Number wall O-test 3
Number wall O-test 4
Example 1
Definition
O-test 1
Example 1
Example 2
Example 3
Example 4
Example 5
O-test 1
The dot notation
Decimals Example 1
Recurring decimals 1
Terminating decimals as fractions
Recurring decimals 2
Fractions to decimals
Recurring decimals 3
Recurring decimals 4
Example 1
Example 2
Example 3
Example 4
Example 5
Example 2
Example 3
Example 4
O-test 1
O-test 2
Randomised Exam Question
Randomised Exam Question
Randomised Exam Question
Solving d.e.s
Solving d.e.s 2
Solving d.e.s 3
Solving d.e.s 4
Solving d.e.s 5
Randomised Exam Question
Definition
Generating transforms
Generating transforms 2
Generating transforms 3
Higher derivatives
Generating transforms 4
Finding tangents 2
O-test 4
Exam O-test 1
The gradient curve
Tangents 1
Tangents 2
Tangents 3
Evaluating the gradient
Evaluating the gradient 3
Evaluating the gradient 2
Evaluating the gradient 4
Finding tangents 1
Finding tangents 3
Finding tangents 4
Finding tangents 5
Finding tangents 6
Check the method
Timed O-test
O-test 1
Method O-test
O-test 2
Finding normals
Finding normals 2
Finding normals 3
Finding normals 4
Finding normals 5
Gradient on a GDC
Gradient on a GDC 2
Vocabulary O-test
O-test 3
Exam O-test 2
Exam O-test 3
Exam O-test 4
Exam O-test 5
Randomised Exam Q 2002
Randomised Exam Q 2004
Randomised Exam Q 2004
Randomised Exam Q 2005
Randomised Exam Q 2005
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Randomised Exam Q 2007
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Randomised Exam Q 2011
Randomised Exam Q 2014
Randomised Exam Q 2014
Randomised Exam Q 2014
Randomised Exam Q 2014
Approximating square roots
Approximating cube roots
Approximating powers
Trig approximations
Trig approximations 2
Small changes to a circle
Small changes to a sphere
Small changes to a cube
Small changes to a triangle
Small changes to a tank
By first principles
Gradients of ax
Gradients of ax and ex
Differentiation of ex
Examples
Finding tangents
Exam O-test 1
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2002
Randomised Exam Q 2004
Randomised Exam Q 2006
Randomised Exam Q 2007
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Randomised Exam Q 2010
Randomised Exam Q 2011
Randomised Exam Q 2014
Randomised Exam Q 2015
xn and nx
ax
abx
Exam O-test 2
Exam timed O-test
Randomised Exam Q 2007
Randomised Exam Q 2007
Randomised Exam Q 2007
Randomised Exam Q 2009
Randomised Exam Q 2011
Approximate gradient 2
Approximate gradient
Tangents and Chords of Polynomials
Function notation
Function notation 2
Function notation 3
Function notation 4
Function notation 5
Function notation 6
Delta notation
Differentiability
Differentiability 2
Differentiability 3
Differentiability 4
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2009
Randomised Exam Q 2015
Simple d.e.s
Exponential growth
Gradient
Gradient 2
Gradient 3
Gradient 4
Gradient 5
Gradient 6
Leaking water tank
An expanding cube
O-test
Fish
Population
Newton's law of cooling
Randomised Exam Q 2008
Investigate 1st & 2nd Derivatives 2
Investigate 1st & 2nd Derivatives
Second order derivatives
Exam O-test
Randomised Exam Q 2000
Randomised Exam Q 2007
Randomised Exam Q 2007
Arc tanh x 2
Tanh x 2
More on Sinh and cosh
Tangents and Chords of Hyperbolic Functions
Tanh x
Differentiation 2
Differentiation
Finding tangents
Differentiation 3
Finding normals
Arc tanh x
Derivative of arc sinh
Derivative of arc cosh
Derivative of arc tanh
Exam O-test
Randomised Exam Q 2005
Randomised Exam Q 2006
Finding tangents
Assessment
Example 1
Example 2
Example 3
Example 4
O-test
Example 5
Example 6
Example 7
Other variables
Finding a gradient
Finding tangents 2
Finding normals 2
Finding normals
Exam O-test 1
Exam O-test 2
Exam O-test 3
Exam timed O-test 1
Exam timed O-test 2
Randomised Exam Q 2003
Randomised Exam Q 2004
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Randomised Exam Q 2015
Randomised Exam Q 2015
Decreasing f(x) = 3 - 3 to x
Investigate Increasing Functions
Increasing f(x) = 2 to x + 1
Increasing f(x) = log(x)
Prove an increasing function
Prove an increasing function 2
Decreasing f(x) = 1 - x - x to 3
A decreasing function 3
Increasing or Decreasing ?
Increasing and decreasing
Increasing and decreasing 2
Exam O-test
Randomised Exam Q 2000
Randomised Exam Q 2007
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Rugby kick
Investigate Derivatives of Arcsin, Arccos, Arctan
Derivative of arc sin
Derivative of arc cos
Derivative of arc tan
Compare function & inverse
Standard results
Exam O-test
Randomised Exam Q 2002
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2008
Exam O-test
Quadratic
Quadratic 2
Cubic
Quartic
Higher powers
Randomised Exam Q 2008
Randomised Exam Q 2008
Exam O-test
Gradients of ln ax
Investigate Differentiation of ln ax
By first principles
Differentiation of ln ax
ln (ax+b)
Differentiation of xr
Finding tangents
Randomised Exam Q 2000
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Investigate Log/Exp Differentiation Together
Examples
Matching O-test
Sequence O-test
True or false
Exam O-test
Randomised Exam Q 2006
Randomised Exam Q 2006
Randomised Exam Q 2007
Randomised Exam Q 2008
Finding tangents
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Higher derivatives
Illustrating tangents
Finding normals
Higher derivatives 2
Finding normals 2
O-test
Exam O-test 1
Exam O-test 2
Exam timed O-test
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2004
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How to solve...
Example 1
A sand problem
Example 2
Example 3
Example 4
Expanding cube
An expanding stain
Filling a water tank
Hot air balloon
Circle
Exam O-test 2
Exam O-test 1
Exam timed o-test
Randomised Exam Q 2006
Randomised Exam Q 2006
Randomised Exam Q 2008
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Basic functions
Matching O-test
Assessment
Some 1st and 2nd Derivatives
Differentiate xn
Differentiate simple functions
Differentiate products
Differentiate quotients
Check the steps
Timed O-test
O-test 1
Sequence O-test 1
True or false O-test
Matching O-test
Sequence O-test 2
Sequence O-test 3
Matching O-test
Memorise the rules
Logical order
dy/dx = 1/dx/dy
2nd order derivatives 2
Verify dy/dx = 1/dx/dy
2nd order derivatives 3
True or false
Spot the method
2nd order derivatives 4
True or false 2
True or false 3
Matching O-test
Rational powers
Rational powers 2
Rational powers 3
O-test
O-test 2
O-test 3
O-test 4
Exam O-test 1
Exam O-test 2
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 2003
Randomised Exam Q 2004
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The chain rule
Investigate the chain rule
Explanation
Explanation 2
(ax+b)ⁿ 2
(ax+b)ⁿ
The chain rule 2
The chain rule 3
The chain rule 4
The chain rule 5
The chain rule 6
Finding gradients
Finding gradients 2
Matching O-test
Sequence O-test 1
Sequence O-test 2
Exam O-test 1
Exam O-test 2
Exam timed O-test
Randomised Exam Q 2006
Randomised Exam Q 2006
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Visualise the Product Rule
Investigate
The product rule
The product rule 2
The product rule 3
The product rule 4
The product rule 5
Finding gradients
Finding gradients 2
Finding gradients 3
Finding tangents
Finding normals
Sequence O-test
Exam O-test 1
Exam O-test 2
Exam O-test 3
Randomised Exam Q 2007
Randomised Exam Q 2007
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Finding gradients
Visualise the Quotient Rule
Investigate
The quotient rule
The quotient rule 2
The quotient rule 3
Finding turning points
Exam O-test 1
Exam O-test 2
Exam O-test 3
Randomised Exam Q 2004
Randomised Exam Q 2005
Randomised Exam Q 2006
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Randomised Exam Q 2014
Straight v curved
Investigate Higher Order Polynomials
Investigate Cubics
Investigate Quadratics
Tangents and Chords
Introduction
The graph of y = x²
The graph of y = x³
Constant multiplier
Sums and differences
Investigate with Negative Powers
Gradient curves
O-test 1
O-test 5
Randomised Exam Q 2013
The max-box problem 3
Finding turnings points
Investigate Points of Inflection
View Maxima and Minima 2
View Maxima and Minima
The max-box problem 2
O-test 3
Introduction
Maxima and minima
Axis of symmetry
Finding turnings points 2
O-test 1
Finding turnings points on a GDC
Finding turnings points 3
A maximising problem
Method O-test
A maximising problem 4
The max-box problem
A minimising problem 3
A minimising problem 4
A minimising problem 5
O-test 2
Quiz
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 2001
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Quick test
Investigate
Investigate 2
Problem 1
Problem 2
Problem 3
Problem 4
Rolle's Theorem
Rolle's Theorem 2
Rolle's Theorem 3
Rolle's Theorem 4
Investigate Trig Differentiation
Finding tangents 2
Finding tangents 1
Tangents and Chords of Trig Functions
Visualise cos (x ± a) Addition Formulae
Visualise sin (x ± a) Addition Formulae
More trig functions
sin x by first principles
cos x by first principles
sin kx
cos kx
Examples
Examples 2
Examples 3
Derivative puzzles
tan and cot
sec and cosec
True or false O-test
Finding tangents 3
Differentiation on a GDC
Exam O-test 1
Exam O-test 2
Randomised Exam Q 2004
Randomised Exam Q 2006
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Randomised Exam Q 2015
M.I.T. video on methods
MIT video: differentation
MIT video: limits
MIT video: products,quotients
MIT video: chain rule
MIT video: implicit differentiation
MIT video: implicit differentiation 2
MIT video: limits
MIT video: exponentials & logs
Constant acceleration
Checking for consistency
A pendulum
Speed
Terminal velocity
Vibration
Viscous liquid
Resistance
Newton's Law of Gravitation
Randomised Exam Q 2007
Randomised Exam Q 2007
Randomised Exam Q 2008
Match them up
Summary
Finding quantities
Cabling
Pens
Card
Square
Cube
Using a graph for direct proportion
Example 1
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
O-test 1
O-test 1
O-test 2
O-test 2
Finding quantities
Cleaning a school
Digging a hole
Inverse square
Using a graph for inverse proportion
Example 1
Example 1
Example 2
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
O-test 1
O-test 1
O-test 2
O-test 2
O-test 3
Definition of Bernoulli Trial
Example 1
Probability distributions
Cumulative distribution
Example 2
Example 3
Example 4
Probabilities
Find the distribution
Exam O-test
Randomised Exam Q 2000
Randomised Exam Q 2001
Randomised Exam Q 2008
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Randomised Exam Q 2014
Fairground game
Fairground game 2
Exam O-test 1
Randomised Exam Q 2005
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Randomised Exam Q 2009
Find the variance
Find the expectation
Expectation
Mean and variance
More on expectation
Linear functions
Timed O-test
O-test
Linear functions 2
Using a GDC
Exam O-test 2
Exam O-test 3
Exam timed O-test
Randomised Exam Q 2000
Randomised Exam Q 2001
Randomised Exam Q 2001
Randomised Exam Q 2002
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Computer game
TV quiz
Darts
Darts 2
Random variable
Expectation
Expectation 2
Expectation 3
Variance
Exam O-test
Randomised Exam Q 2006
Randomised Exam Q 2007
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Expectation and variance
Definition
Expectation and variance 2
Definition
Expectation and variance
Expectation and variance 2
A basic example
The dice experiment
Expectation and variance 2
Expectation and variance
O-test
Randomised Exam Q 2014
Composite bar chart
Exam O-test
Eye colour
Hair colour
Dual bar chart
Spain v. Florida
Example 1
Example 2*
O-test
Elephant tusks
How to...
Heights of girls
Supermarket customers
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9
O-test 1
O-test 2
O-test 3
Exam O-test
Display your own line of best fit
Display your own pie chart
Display your own scatter graph
Display your own bar chart 2
Display your own bar chart 1
Investigate basic charts
Investigate
Example 1
Parsnips
Puzzle
How to (Cumulative Frequency) ...
New tyres
Example 1
Example 2
Example 3
Example 4
O-test 1
O-test 2
O-test 3
O-test 4
Luggage
Example 1
Example 2
Example 3
O-test
How to...
The method 2
The method
The method 3
Finding the median
Example 1
Example 2
Example 3
O-test 1
O-test 2
O-test 3
O-test 4
O-test 5
How to...
Example 1
Example 2
O-test
Exam O-test
Scotland and the Midlands
The South
The North
Ireland
Europe
O-test
Cars
Phone calls
Letters
Example 1
O-test 1
O-test 2
How to... 1
Destinations
How to... 2
Nationalities
Bicycles
Flavours of crisps
The Water Company
Musicians
Happiness
Houses
Complaints
Types of fuel
Example 1
Example 2
Example 3
Example 4
Exam O-test 1
Exam O-test 2
Exam O-test 3
Exam O-test 4
How to (Scatter Graph) ...
Potato crop
Hours of sleep
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9
Example 10
Example 11
Example 12
Exam O-test
O-test 1
O-test 2
Mistake 1
Mistake 2
Mistake 3
How to...
Market research
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9
Example 10
Exam O-test
Example 1*
O-test 1
O-test 2
Multiple choice O-test
Passengers 2
Passengers 1
O-test
How to...
How to... 2
Example 2
Example 1
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9
Example 10
Example 11
Example 12
Exam O-test
Exam O-test
Do you know Europe?
Find the town
Orienteering
Example 1
Exam O-test 4
Inclined plane
Exam O-test 2
Exam O-test 3
Exam O-test 5
Exam O-test 6
Randomised Exam Q 2000
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Conservation of momentum
Conservation of momentum 2
Momentum
Momentum 2
Momentum 3
Bullet
Two trains
Cannon recoil
Impulse
Impulse 3
Impulse 2
Impulse 4
Cricket bowl
Train
Two particles
Two more particles
A gun
A cannon
Mallet and peg
O-test 1
O-test 2
Exam O-test 1
Exam O-test 1
Exam O-test 2
Exam O-test 2
Randomised Exam Q 2000
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A pulley system
Simulation
Simulation 2
Two connected particles
Car and trailer
Two connected particles 2
Two connected particles 3
Two connected particles 4
Three connected particles
The necklace experiment
O-test
Exam O-test 4
Exam O-test 1
Exam O-test 7
Exam O-test 2
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Labelling diagrams 1
Labelling diagrams 2
Labelling diagrams
Labelling diagrams O-test
Force diagram
The laws
Weight and mass
Newton's second law
Force diagram 3
Force diagram 2
Force diagram 4
Force diagram 5
Using vectors
Vector forces
Falling through oil
A boy on a sledge
A descending lift
A stopping car
A sprinter
An ice skater
A helicopter
A spaceship
O-test 1
O-test 2
Exam O-test 1
Exam O-test 5
Exam O-test 2
Exam O-test 3
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Mindmap
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