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8159Proof : Proof by induction : Exam Question
8144Probability : Simple probability : Exam Question
5043Permutation and Combinations : Simple applications : Factorial
5042Permutation and Combinations : Permutations and combinations and their formulas : Factorial
31Polynomials : Factorisation of cubics using factor theorem : Factor theorem 1
14073Perimeter area volume : Volumes : What I'd do
14071Percentages : Using percentages : Speed limits
14059Perimeter area volume : Cylinders : What I'd do
14052Probability : Expectation : Example 6
14047Perimeter area volume : Triangles and rectangles : Example 10
14033Probability : Basic problems : What I'd do
14023Properties of shapes : Polygons : What I'd do
14022Properties of shapes : Polygons : Names
14017Percentages : Increases and decreases : Example 7
14003Percentages : Using percentages : What I'd do...
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The unitary method 1
The unitary method 2
The multiplier method 1
The multiplier method 2
VAT
Example 1
Example 2
Example 3
Example 4
Example 7
Example 5
Example 6
Example 7
O-test 1
O-test 2
O-test 3
O-test 4
Using multipliers 2
Using multipliers 1
Example 1
Example 2
Example 3
Example 4
Example 5*
Example 6*
O-test 1
O-test 2
The multiplier method
Example 1
Example 2
Example 3
O-test
Exam O-test
Timed O-test 1
How to... 2
How to...
Example 2
Example 1
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9
Example 10
Example 11
Example 12*
Example 14*
Example 13
O-test 1
O-test 2
Timed O-test 2
How to...
Example 2
Example 1
Example 3
Example 4
Example 5
Example 6
Example 7
O-test 1
Timed O-test
How to...
Example 2
Example 1
Example 3
Example 4
Example 5
O-test
Exam O-test
Using multipliers 1
Using multipliers 2
Using multipliers 3
Example 1
Example 2
Example 3*
Example 4
O-test 1
O-test 2
How to...
Example 1
Example 2
O-test
Mistake 1
Mistake 2
Mistake 3
Mistake 4
Mistake 5
O-test 1
Multiple choice O-test
Ordering O-test 1
Ordering O-test 2
Ordering O-test 3
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9*
Exam O-test 1
Exam O-test 2
Example 1
Example 2
Example 3
Example 4*
Exam O-test 1
Timed O-test 2
Speed limits
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
Timed O-test 1
Investigate
Exam O-test 2
Exam O-test 1
Bicycle
Area and circumference
Glass table
Semicircles
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
Example 22
Example 23
Example 24
Example 25
Example 26
Example 27
Example 28
Exam O-test 3
Glass table
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
Parallelograms
Trapeziums
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9
Example 10
Example 11
O-test 1
O-test 2
Mistake 1
Mistake 2
Mistake 3
Mistake 4
Mistake 5
Mistake 6
Mistake 7
O-test 1
O-test 2
O-test 3
O-test 4
O-test 5
Multiple choice O-test
Cylinders
Triangular prisms
Cuboids
Example 1
Example 2
O-test 1
O-test 2
Compound shapes 1
Rectangles
Investigate
Triangles 2
Compound shapes 2
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9
Example 10
O-test 1
O-test 2
O-test 3
O-test 4
Exam O-test 1
Exam O-test 2
Exam O-test 3
Exam O-test 4
Other prisms
Triangular prisms
Cuboids 2
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*
Example 22
Exam O-test 1
Exam O-test 2
Exam O-test 3
Factorial
Investigate 1
Investigate 2
Example 1
Example 2
Example 3
Investigate 1
Investigate 2
The modulus function
Investigate 3
Investigate
Investigate 2
A limacon
Problem
Exam O-test
Randomised Exam Q 2000
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2014
The coordinate system
Investigate
Circle: r = a
r = a trig(bt)
Investigate Polar Spirals
Logarithmic spirals
r = a(p + q trig(t))
r = p trig(q - t)
r = a trig²(t)
r² = a trig(bt)
More Polar Curves
Polar graphs on a GDC
Plotting O-test 1
Plotting O-test 2
Plotting O-test 3
O-test
Polar to Cartesian
Cartesian to Polar
Polar equations 3
Polar equations 4
Exam O-test
Randomised Exam Q 2000
Randomised Exam Q 2008
Horizontal tangents 2
Investigate
Horizontal tangents
Vertical tangent
O-test
Factor theorem 1
Timed O-test 2
Timed O-test 1
Negative powers
Fractional powers 1
Timed O-test 5
Timed O-test 4
Fractional powers 2
Negative powers 2
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9
Example 10
Example 11
True or false O-test 3
True or false O-test 2
Sequence O-test 1
Sequence O-test 2
Timed O-test 3
O-test 1
O-test 2
O-test 3
O-test 4
O-test 5
O-test 6
Mistake 1
Mistake 2
Mistake 3
Mistake 4
Mistake 5
Mistake 6
Mistake 7
Mistake 8
Mistake 9
Square roots
Cube roots
Example 1
Example 2
Timed O-test 1
Timed O-test 2
Converting 1
Converting 2
Converting 3
Converting 4
Adding
Subtracting 1
Subtracting 2
Multiplying 1
Multiplying 2
Multiplying 3
Dividing 1
Dividing 2
Square roots
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
O-test 1
O-test 2
O-test 3
O-test 4
O-test 5
O-test 6
Ordering O-test 1
Ordering O-test 2
Multiple choice O-test
Simplifying powers
Example 2
Example 1
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
O-test 1
O-test 2
O-test 3
O-test 4
O-test 5
Powers wall O-test 1
Powers wall O-test 2
Powers wall O-test 3
Ordering O-test 1
Ordering O-test 2
Timed O-test 2
Timed O-test 1
Planet Zog
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
Example 22
Example 23
Example 24
Example 25
Exam O-test 1
Exam O-test 2
Exam O-test 3
Probability Example 1
How to...
Example 1
Example 2
Example 2
Example 3
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
O-test 1
O-test 2
O-test 1
O-test 3
O-test 2
O-test 4
O-test 3
O-test 4
O-test 5
Two events
Three caravans
Two urns
Three urns
Exam O-test
Randomised Exam Q 2006
Randomised Exam Q 2007
Illustration
Replacement
Example 1
Example 2
Example 3
Example 4
O-test 1
O-test 3
O-test 2
O-test 4
Definition
Example 1
Example 2
Example 3
Example 4
Example 5*
Example 6
O-test 1
O-test 2
O-test 3
Birthdays
The Monty Hall problem
The spinner experiment
Another spinner experiment
The marbles experiment
Buffon's needle
Buffon's needle - extended
Finding an area
Birthdays - extended
The coin experiment
The coin and die experiment
The die and coin experiment
The roulette wheel experiment
The ball and urn experiment
The triangle experiment
Definition
Rolling dice
Spinning coins
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
O-test 2
O-test 1
O-test 3
O-test 4
O-test 5
Example 1
Definition
O-test 1
O-test 2
O-test 3
A fair dice
Pack of cards
Counters
Ordering O-test 4
Randomised Exam Q 2015
Spot the Mistake 1
Spot the Mistake 2
Spot the Mistake 3
O-test 1
O-test 2
Ordering O-test 1
Ordering O-test 2
Ordering O-test 3
Multiple choice O-test
Conditional probability
Conditional probability 2
Conditional probability 3
Conditional probability 4
Conditional probability 5
Combining probabilities
Combining probabilities 2
Independent events
Independent events 2
Independent events 3
Mutually exclusive events
Mutually exclusive events 2
Exhaustive events
O-test 9
Memorise the formulae
Vocabulary O-test
Exam O-test 1
Exam O-test 2
Timed O-test
Exam timed O-test
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2002
Randomised Exam Q 2002
Randomised Exam Q 2002
Randomised Exam Q 2003
Randomised Exam Q 2004
Randomised Exam Q 2006
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Conditional probability
Using tree diagrams
Illustration
Observation
Using tree diagrams 2
Using tree diagrams 3
Using tree diagrams 4
Using tree diagrams 5
Using tree diagrams 6
Creating tree diagrams
Creating tree diagrams 2
Creating tree diagrams 3
Creating tree diagrams 4
Disease test
Lie detector tests
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Timed O-test
O-test 1
O-test 5
O-test 6
O-test 7
O-test 8
Exam O-test 1
Exam O-test 2
Randomised Exam Q 2005
Randomised Exam Q 2006
Randomised Exam Q 2007
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2008
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Randomised Exam Q 2010
Randomised Exam Q 2011
Randomised Exam Q 2014
Example 6
How to...
Example 1
Example 2
Example 3
Example 4
Example 5
Example 7
Example 8
Example 9
Example 10
Example 11
Example 12
Example 13
O-test 1
Exam O-test
2 set probabilities 3
3 set probabilities 2
3 set probabilities
2 set probabilities 2
2 set probabilities
3 set probabilities 3
2 set probabilities 4
2 sets
3 sets
Mutually exclusive events
Complementary events
Timed O-test
Construct a 3 set diagram
O-test 5
O-test 6
O-test 7
O-test 8
Exam O-test 1
Randomised Exam Q 2000
Randomised Exam Q 2005
Randomised Exam Q 2006
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Fallacy 1
Fallacy 2
Fallacy 3
Symbols in Proofs
Example 1
Example 2
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Introduction
Introduction continued
Sum of series
Sum of series 2
Sum of squares
O-test
De Moivre's theorem
Sequences
Sequences 2
Divisibility
Factorials
Divisibility 2
Matrices
Matrices 2
Randomised Exam Q 2005
Randomised Exam Q 2006
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
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Randomised Exam Q 2015
Proof 1
Proof 2
Proof 3
Proof 4
Proof 5
A valid proof?
Proof by contradiction
Contradiction 2
Proof O-test
Randomised Exam Q 2006
Randomised Exam Q 2006
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2009
Randomised Exam Q 2010
The language of proof
Triangles
Parallelograms
Example 1
O-test 1
O-test 2
Identify the parts
O-test 1
SAS
SSS
RHS
Tangents
Two circles
Example 1
Exam O-test
Investigate 1
Investigate 2
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*
Investigate 3
Investigation
Investigate 1
Investigate 2
Example 1
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9
Example 10
Example 11
Example 12
Ordering O-test 1
Multiple choice O-test
Estimating angles
A right angle
Angles on a straight line
Angles at a point 1
Angles at a point 2
Opposite angles at a vertex
Vocabulary O-test
Timed O-test
Investigate 1
Investigate 2
The 3-4-5 triangle
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
O-test 2
Ordering O-test 1
Ordering O-test 2
Ordering O-test 3
O-test
Exam O-test
Investigate
Rectangle
Square
Parallelogram
Rhombus
Trapezium
Kite
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Triangles
Investigate
Triangles 2
Quadrilaterals
Example 1
Example 2
O-test
Exam FT O-test
Sine rule 1
Sine rule 2
Sine rule 3
Cosine rule 1
Cosine rule 2
The ambiguous case
Example 1
Example 2
Example 3
Example 4*
Example 5
Example 6
Example 7
Example 8
Bearings
O-test 2
O-test 1
O-test 3
O-test 4
O-test 5
Mistake 1
Mistake 2
Mistake 3
Mistake 4
Mistake 5
O-test 1
O-test 2
O-test 3
O-test 4
O-test 5
Multiple choice O-test
O-test
Exam O-test
Investigate 1
Investigate 2
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 20
Example 19*
Example 2
Example 1
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
O-test 1
O-test 2
O-test 3
O-test 4
O-test 5
O-test 6
Ordering O-test 2
Ordering O-test 1
Ordering O-test 3
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9
Example 10
Example 11
O-test 1
O-test 2
O-test 3
O-test 4
O-test 5
O-test 6
O-test 7
O-test 8
Know the method
Know the formulae
Labelling sides
Using your calculator
Solving a problem
Finding an angle
Height of tree
Slope of staircase
Mindmap
Compare
Compare 2
Compare 3
Exam O-test
Randomised Exam Q 2000
Randomised Exam Q 2006
Randomised Exam Q 2007
Randomised Exam Q 2007
Randomised Exam Q 2009
Finding probabilities 3
Finding probabilities
Use of tables
Finding probabilities 2
Finding probabilities 4
O-test
Finding probabilities 5
Timed O-test
Sum of two distributions
Sum of two distributions 2
Quick test
Probabilities using a GDC
Probabilities using a GDC 2
Probabilities using a GDC 3
Randomised Exam Q 2006
Lightning strikes
Typesetter errors
O-test
Exam O-test
Horse kicks
Lightning strikes 2
Motorway accidents
Checkout queues
Telephone calls
Motorway services
Radioactivity
Answering machine
Cherry buns
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2001
Randomised Exam Q 2004
Randomised Exam Q 2006
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2009
Poisson probabilities
An experiment
Poisson probabilities 2
Poisson probabilities 3
Poisson probabilities 4