Pages: 982
2 - Functions and EquationsXLatest Additions
1036Algebra and functions : Factor Theorem : Visualise Factor Theorem 2
8187Exponentials and logs : Logarithms : Law: a log(b)=log(ba)
8186Exponentials and logs : Logarithms : Law: log(a/b)=log(a)-log(b)
8184Exponentials and logs : Logarithms : Law: log(ab)=log(a)+log(b)
8127Algebra and Functions : Remainder theorem : Exam Question
8126Algebra and Functions : Solving equations : Exam Question
8063Algebra and Functions : Functions and inverses : Self Inverse O-Test
8061Coordinate geometry : Coordinates : Exam Question
8060Algebra and Functions : Reciprocal curves : y=1/(x+a) +b
8059Algebra and Functions : Domain and range : Exam Question
8048Exponentials and logs : Exponentials : The graph of ax
8047Algebra and Functions : Transformations : Some More y=af(x) Examples
8042Algebra and Functions : Basics : Equation buster
8029Algebra and Functions : Functions and inverses : Exam Question
8011Algebra and Functions : Transformations : Exam Question
Domain and Range Introduction
Investigate Domain and Range
Domain and range
Domain and range 2
O-test 1
O-test 2
Randomised Exam Q 2006
Randomised Exam Q 2008
Randomised Exam Q 2009
Introduction
Match Composite Functions 2
Investigate Odd and Even Functions
Explore Composite Functions 2
Function notation
Evaluating
Values of functions
Values of functions 2
Values of functions 3
Values of functions 4
Composition 3
Composition 4
Composition 5
Composition 6
Composition 7
Composition 8
Composition 9
Composition 10
Even functions
Even functions 2
Even functions 3
Odd functions
Odd functions 2
Odd functions 3
O-test 3
O-test 4
O-test 5
True or false O-test 1
True or false O-test 2
O-test 6
Matching O-test 1
Matching O-test 2
Exam O-test
Exam timed O-test
Randomised Exam Q 2000
Randomised Exam Q 2003
Randomised Exam Q 2004
Randomised Exam Q 2007
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Investigate Functions and Inverses
Example 6
Example 1
Example 3
Example 4
Example 5
Verify inverses
Inverses on a GDC
True or false
Self Inverse O-Test
O-test 1
Matching O-test
O-test 2
O-test 3
Exam O-test 1
Exam O-test 2
Exam O-test 3
Randomised Exam Q 2000
Randomised Exam Q 2004
Randomised Exam Q 2005
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Plot Quadratics (y=ax²+bx+c)
Investigate Quadratic Roots
Min and max
More on y=(x-a)²+b
y=c(x-a)(x-b)
Plot Quadratics (y=(x-a)(x-b))
Plot Quadratics (y=(x-a)²+b)
Basic shape
More on y=(x-a)(x-b)
Curve recognition
Axis of symmetry
Match Factors of Quadratic Curves
Curve recognition 3
Using a GDC
Quadratic curve quiz
True or false O-test 2
Plotting O-test 2
O-test 1
O-test 2
Observation O-test 1
Plotting O-test 1
Observation O-test 2
Timed O-test
True or false O-test 1
Randomised Exam Q 2008
Randomised Exam Q 2008
y=(x-a)(x-b)(x-c)
Solving ax³+bx²+cx+d=0
y=ax³+bx²+cx+d
Identify the coefficients
Form the cubic
Factorising 1
Factorising 2
Linear,quadratic,cubic
Cubics using a GDC
True or false
True or false 2
Observation O-test
Plotting O-test 1
Plotting O-test 2
O-test 1
O-test 2
Exam 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 2009
More modulus graphs
y=m|x|+c
y=|f(x)| and y=f(|x|) 2
y=|f(x)| and y=f(|x|)
More modulus graphs 2
y=ax³+bx²+cx+d & y=f(|x|)
y=|ax³+bx²+cx+d|
y=|mx+c|
y=|mx+c|+b
y=|ax²+bx+c|
y=|m(x+c)|
Modulus equations 1
Modulus equations 2
Modulus equations 3
Modulus equations 4
Modulus equations 5
Modulus equations 6
Modulus equations 7
Modulus equations 8
Modulus equations 9
Plotting on a GDC
Modulus graph quiz
Plotting O-test 1
Plotting O-test 2
True or false O-test
O-test 1
O-test 2
Exam O-test
Randomised Exam Q 2000
Randomised Exam Q 2003
Randomised Exam Q 2003
Randomised Exam Q 2004
Randomised Exam Q 2006
Randomised Exam Q 2007
Randomised Exam Q 2008
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y=a/x
y=1/(x+a) +b
Symmetries
Plotting O-test
Exam O-test
Randomised Exam Q 2007
Quartics
Curve recognition
Other powers
Match Polynomial Curves
Curve recognition 2
Matching O-test
Introduction
More y=f(x+c) Examples
Spot the transformation 2
Spot the transformation 3
Spot the transformation 4
y=f(x)+d Practice
Cubic Graph Transformations
More y=af(x) Examples
More y=f(x-c) Examples
More y=f(x)+d Examples
More y=f(bx) Examples
The cubic graph
Spot the transformation
The Sine/Cosine Curves
Some More y=af(x) Examples
y=af(x) Practice
Investigate Transformations: y=f(x+c)+d
Investigate Transformations: y=af(bx)
Investigate Transformations: y=af(x)+d
Investigate Transformations: y=af(x+c)
Investigate Transformations: y=f(bx)+d
Investigate Transformations: y=f(bx+c)
y=f(x-c) Practice
y=f(bx) Practice
Describe the transformation
Describe the transformation 2
Describe the transformation 3
Describe the transformation 4
Describe the transformation 5
Construct the transformation
Construct the transformation 2
Construct the transformation 3
Order of Transformations 1
Order of Transformations 2
Symmetries
Symmetries 2
Transformations on a GDC
Transformations on a GDC
Matching O-test
O-test 1
O-test 2
O-test 3
O-test 4
O-test 5
O-test 6
O-test 7
O-test 8
O-test 9
O-test 10
O-test 11
O-test 12
Exam O-test 2
Exam O-test 3
Exam O-test 1
Randomised Exam Q 2006
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Completing the square
Completing the square 3
By factorising
Completing the square 2
Using the formula
The discriminant
The discriminant 2
Using a GDC
Using a GDC 2
Using a GDC 3
True or false O-test
Timed O-test
O-test 1
O-test 2
O-test 3
Exam O-test 1
Exam O-test 3
Randomised Exam Q 2001
Randomised Exam Q 2003
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Visualise Factor Theorem 1
Visualise Factor Theorem 2
Factor theorem 1
Factor theorem 2
Factor theorem 3
Factor theorem 4
Factor theorem 5
Factor theorem 7
Timed O-test
O-test 2
O-test 1
Exam O-test 1
Exam O-test 2
Exam timed O-test
Randomised Exam Q 2004
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Remainder theorem 1
Dividing by (ax+b)
Remainder theorem 2
Remainder theorem 3
True or false O-test
Exam O-test 1
Exam O-test 2
Exam O-test 3
Exam timed O-test
Randomised Exam Q 2000
Randomised Exam Q 2002
Randomised Exam Q 2003
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Introduction
Plotting inequalities
Investigate Quadratic Inequalities
Solving
Investigate Linear Inequalities
Describe the inequality
Solving 2
Solving quadratics
Solving quadratics 2
Solving quadratics 3
O-test 1
Timed O-test 2
O-test 2
Exam O-test 1
Exam O-test 2
Randomised Exam Q 2002
Randomised Exam Q 2004
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Changing the subject 3
Equation buster
Simplifying 2
Simplifying expressions
Brackets
Brackets 2
Identities
Identities 2
Identities 3
Powers
Evaluating
Evaluating functions
Evaluating functions 2
Know your factors
Solving an equation
Solving an equation 2
Solving an equation 3
Solving an equation 4
Solving an equation 5
Solving an equation 6
Changing the subject
Changing the subject 2
Find the function
Basic algebra quiz
True or false O-test
Timed O-test 1
Timed O-test 4
Timed O-test 5
Vocabulary O-test
Timed O-test 2
Equation or identity O-test
Timed O-test 3
Matching O-test
O-test 1
Timed O-test 6
O-test 2
O-test 3
Randomised Exam Q 2006
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2009
Equating Coeffs 1
Equating Coeffs 2
Equating Coeffs 3
Equating Coeffs 4
Equating Coeffs O-test 1
Equating Coeffs O-test 2
Introduction
Basics
The laws of indices
Simplifying indices
Simplifying indices 2
Simplifying indices 3
Evaluating indices
Solving equations
Solving equations 2
O-test 10
True or false O-test 1
True or false O-test 4
Sequence O-test 3
Sequence O-test 4
O-test 7
Timed O-test 6
O-test 8
O-test 9
Exam O-test 1
Exam O-test 2
Randomised Exam Q 2001
Randomised Exam Q 2002
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Long division 1
Long division 2
Long division 3
Avoiding long division
Avoiding long division 2
O-test
Factorising
Factorising 4
Expanding brackets
Expanding brackets 2
Expanding brackets 3
Practise
Factorising 2
Factorising 3
Factorising 5
Practise factorising
True or false O-test
Timed O-test
Matching O-test
Factorising O-test
Randomised Exam Q 2007
Randomised Exam Q 2008
Simplifying
Simplifying 2
Adding and subtracting
Multiplying and dividing
Adding and subtracting 2
Undefined functions
Quotient & remainder
Quotient & remainder 2
Quotient & remainder 3
Quotient & remainder 4
Quotient & remainder 5
True or false
Exam O-test 1
Exam O-test 2
Exam O-test 3
Exam timed O-test
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2001
Randomised Exam Q 2002
Randomised Exam Q 2003
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Using a GDC
Using a GDC 2
Randomised Exam Q 2014
Simplifying surds
More simplifying
More simplifying 2
More simplifying 3
Multiplying surds 2
Multiplying surds
Rationalising the denominator
Rationalising the denominator 2
Rationalising the denominator 3
Sequence O-test 1
Sequence O-test 2
Method O-test
True or false O-test
O-test 1
O-test 2
O-test 3
O-test 4
O-test 5
Timed O-test
Exam O-test 1
Exam O-test 2
Exam O-test 3
Randomised Exam Q 2000
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XTRA 1
Graph of ex
Transformations
Transformations 2
The number e
Plotting O-test 1
Plotting O-test 2
Matching O-test 1
Randomised Exam Q 2010
Discrete growth
Discrete decay
Football crowds
Music fans
Continuous growth
Radioactive half-life
Radioactive half-life 2
Elephant population
Computer prices
Spread of infection
Investments
O-test
Exam O-test 1
Exam O-test 2
Exam timed O-test 2
Randomised Exam Q 2005
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The solution of ax=b
The graph of ax
The graph of ax 2
A joke
Solving with a GDC
Solving with a GDC 2
Solving equations 1
Solving equations 6
Solving equations 3
Graph of ln ax
Investigate Log Transformations
Match Composite Exp/Log Functions
Inverses
Graph of Log10 and its Transformations
Graph of log ax 2
Law: log(a/b)=log(a)-log(b)
Law: log(ab)=log(a)+log(b)
Law: a log(b)=log(ba)
Solving equations 2
Solving equations 4
Solving equations 5
Solving equations 7
Solving equations 8
Solving equations 9
Solving equations 10
Check the method
Solving on a GDC
Quiz
Plotting O-test 3
Plotting O-test 4
Matching O-test 2
O-test 1
O-test 2
Exam O-test 1
Exam O-test 2
Randomised Exam Q 2000
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Equations 5
Inequations
O-test 1
Exam O-test 1
Exam O-test 2
Exam O-test 3
Exam O-test 4
Exam timed O-test 1
Randomised Exam Q 2000
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XTRA 1
Coordinates and points
Midpoint
Distance between 2 points
Midpoint 3
Midpoint 2
Midpoint 4
Distance between 2 points 2
Distance between 2 points 3
Sides of a triangle
Isosceles triangle
Isosceles triangle 2
Parallelogram
Observation O-test
Vocabulary O-test
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
Introduction
Linear denominator
Curve recognition
Asymptotes or not?
Quadratic denominator 3
Quadratic over quadratic 2
Quadratic over quadratic
Quadratic denominator
Linear denominator 2
Sketch the graph
Quadratic denominator 2
Using a GDC
Plotting O-test 1
Plotting O-test 2
Exam O-test
Randomised Exam Q 2000
The formulae
Memorise the formulae
Victorian sewer
Midpoint, length, gradient
Between two points
Find the gradient
Find the gradient 2
The gradient using tan t
Collinear points
Line between 2 points
True or false O-test
O-test 1
O-test 2
Timed O-test
Randomised Exam Q 2000
Randomised Exam Q 2008
Introduction
Plot y=mx+c
y-y1=m(x-x1)
Match Lines (y=mx+c) to Points
Practise
ax+by+c=0
Straight line recognition 2
Finding equations
Finding perpendicular lines
The vertical wedge
Equations in intercept form
Straight line recognition 3
Axis intercepts
Perpendicular distance
Match Lines (y=mx+c)
Straight line recognition
Finding equations 2
Finding equations 3
Finding parallel lines
Finding parallel lines 2
Finding parallel lines 3
Parallel and perpendicular lines
Perpendicular gradients
Perpendicular gradients 2
Right angles
Finding perpendicular lines 2
Finding perpendicular lines 3
Finding perpendicular lines 4
Finding lines - the method
Analysis
Linear graph quiz
True or false
True or false 2
Quiz
Quiz 2
O-test 2
Observation O-test
O-test 1
O-test 3
O-test 4
Vocabulary O-test
True or false O-test 1
True or false O-test 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
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Altitudes
Perpendicular & altitude
Orthocentre 2
Centroid 2
Circumcentre 2
Circumcircle
Orthocentre
Centroid
Circumcentre
Perpendiculars
Medians
Investigate
Mindmap
Formulae
True or false: f(x+y)=f(x)+f(y)?