Pages: 744
HM1XLatest Additions
8129Sequences and Series : Recurrence relations : Exam Question
8061Coordinate geometry : Coordinates : Exam Question
8060Algebra and Functions : Reciprocal curves : y=1/(x+a) +b
8059Algebra and Functions : Domain and range : Exam Question
8057Differentiation : Slope : The graph of y = x³
8056Differentiation : Slope : Straight v curved
8050Differentiation : Slope : The graph of y = x²
8048Exponentials and logs : Exponentials : The graph of ax
8047Algebra and Functions : Transformations : Some More y=af(x) Examples
8042Algebra and Functions : Basics : Equation buster
7987Algebra and Functions : Functions : Exam Question
7970Differentiation : Curves : Exam Question
7968Algebra and Functions : Completing the square : Exam Question
7966Coordinate geometry : Straight lines : Exam Question
7965Differentiation : Stationary points : Exam Question
Symbols are the basic building blocks of mathematics. After you have studied mathematics at advanced level for a while you will come to appreciate that certain symbols tend to mean certain things. For example x and y are used to represent variables, whereas a and b are used to stand for constants. Greek symbols are commonly used too.
Set notation
Timed Symbols O-test
Greek Symbols O-test
Set notation O-test
Functions O-test
Numbers O-test
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
Introduction
Example 1
Example 2
Example 3
Practice
Sort out the method
Application 1
Application 2
Application 3
True or false O-test
Timed O-test
Method O-test 1
O-test 1
Method O-test 2
Exam O-test 1
Exam O-test 2
Exam O-test 2
Exam O-test 4
Randomised Exam Q 2000
Randomised Exam Q 2002
Randomised Exam Q 2004
Randomised Exam Q 2004
Randomised Exam Q 2005
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Randomised Exam Q 2010
y=(x-a)(x-b)(x-c)
Solving ax³+bx²+cx+d=0
y=ax³+bx²+cx+d
Identify the coefficients
Cubics using a GDC
True or false
True or false 2
Plotting O-test 1
Observation O-test
Plotting O-test 2
Randomised Exam Q 2006
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
Timed O-test
Introduction
Match Composite Functions 2
Explore Composite Functions 2
Investigate Odd and Even Functions
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
Matching O-test 1
O-test 6
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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Randomised Exam Q 2008
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Randomised Exam Q 2011
Randomised Exam Q 2011
Quartics
Curve recognition
Other powers
Match Polynomial Curves
Curve recognition 2
Matching O-test
Plot Quadratics (y=ax²+bx+c)
Investigate Quadratic Roots
Min and max
Plot Quadratics (y=(x-a)²+b)
More on y=(x-a)²+b
y=c(x-a)(x-b)
Plot Quadratics (y=(x-a)(x-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 2007
Randomised Exam Q 2008
Timed O-test
Exam O-test 1
Exam O-test 3
Randomised Exam Q 2001
Randomised Exam Q 2005
Randomised Exam Q 2006
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Randomised Exam Q 2014
Randomised Exam Q 2014
y=a/x
y=1/(x+a) +b
Symmetries
Plotting O-test
Exam O-test
Randomised Exam Q 2007
Introduction
More y=f(x+c) Examples
Spot the transformation
The cubic graph
More y=af(x) Examples
More y=f(x-c) Examples
More y=f(x)+d Examples
More y=f(bx) Examples
y=f(x)+d Practice
Some More y=af(x) Examples
y=af(x) Practice
y=f(x-c) Practice
y=f(bx) Practice
Symmetries
Symmetries 2
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 1
Randomised Exam Q 2006
Randomised Exam Q 2006
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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
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
Randomised Exam Q 2000
Randomised Exam Q 2002
Randomised Exam Q 2002
Randomised Exam Q 2003
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The formulae
Memorise the formulae
Altitudes
Perpendicular & altitude
Orthocentre 2
Centroid 2
Circumcentre 2
Circumcircle
Orthocentre
Centroid
Circumcentre
Perpendiculars
Medians
Investigate
Forming recurrence relations 3
Forming recurrence relations 2
Forming recurrence relations
Forming recurrence relations 4
un+1 = f(un)
Example
Example 2
Example 3
Bird feeder
The Isle of Blight
The Reservoir
Quiz
Using a GDC
Graphing on a GDC
Timed O-test
O-test
Exam O-test 1
Exam O-test 2
Exam O-test 3
Randomised Exam Q 2002
Randomised Exam Q 2003
Randomised Exam Q 2006
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Randomised Exam Q 2014
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Randomised Exam Q 2015
Degrees to radians
Radians to degrees
Quiz
Timed O-test
O-test
The Sine/Cosine Curves
a sin (bx+c) + d Transformations
a cos (bx+c) + d Transformations
a tan (bx+c) + d Transformations
Exact values (with degrees)
Exact values (with radians)
Exact values (with radians) 2
Transforming the sine graph
Recognising trig graphs
Recognising trig graphs 2
Symmetries
From circle to graph on a GDC
y=asin(bx+c)+d on GDC
Trig graph quiz
Timed O-test
True or false O-test
Plotting O-test 1
Plotting O-test 2
Plotting O-test 3
Plotting O-test 4
Plotting O-test 5
Plotting O-test 6
O-test 1
O-test 2
O-test 3
O-test 4
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Exact values
Exact values 2
Exact values 3
Finding tangents 2
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
Finding normals
Finding normals 2
Finding normals 3
Finding normals 4
Finding normals 5
Gradient on a GDC
Gradient on a GDC 2
O-test 4
Exam O-test 1
Timed O-test
Method O-test
O-test 1
O-test 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
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Investigate
Approximate gradient
Approximate gradient 2
Tangents and Chords of Polynomials
Function notation
Function notation 2
Function notation 3
Function notation 4
Function notation 5
Function notation 6
Delta notation
Randomised Exam Q 2008
Randomised Exam Q 2009
Investigate 1st & 2nd Derivatives
Investigate 1st & 2nd Derivatives 2
Second order derivatives
Exam O-test
Randomised Exam Q 2000
Randomised Exam Q 2007
Randomised Exam Q 2007
Investigate Increasing Functions
Decreasing f(x) = 3 - 3 to x
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
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2009
Randomised Exam Q 2009
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Differentiate xn
Differentiate simple functions
Differentiate products
Differentiate quotients
Check the steps
2nd order derivatives
2nd order derivatives 2
2nd order derivatives 3
2nd order derivatives 4
Derivative puzzles
Rational powers
Rational powers 2
Rational powers 3
Timed O-test
O-test 1
True or false O-test
Sequence O-test 1
Matching O-test
Sequence O-test 2
Sequence O-test 3
O-test 2
O-test 4
O-test 3
Exam O-test 1
Exam O-test 2
Exam O-test 3
Exam O-test 4
Randomised Exam Q 2005
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Introduction
Tangents and Chords
Investigate Quadratics
Investigate Cubics
Investigate Higher Order Polynomials
Straight v curved
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
Introduction
The max-box problem 3
The max-box problem 2
A minimising problem
A minimising problem 2
View Maxima and Minima
View Maxima and Minima 2
Investigate Points of Inflection
Finding turnings points
Maxima and minima
Axis of symmetry
Finding turnings points 2
Finding turnings points 3
A maximising problem
A maximising problem 4
The max-box problem
A minimising problem 3
A minimising problem 4
A minimising problem 5
Finding turnings points on a GDC
Quiz
O-test 3
O-test 1
Method O-test
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 2000
Randomised Exam Q 2001
Randomised Exam Q 2002
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MIT video: differentation
MIT video: limits
MIT video: limits
The solution of ax=b
The graph of ax
The graph of ax 2
Solving with a GDC
Solving with a GDC 2
Investigate Log Transformations
Inverses
Graph of Log10 and its Transformations
Graph of log ax 2
Mindmap