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1036Algebra and functions : Factor Theorem : Visualise Factor Theorem 2

27Algebra and Functions : Simultaneous equations : Exam Question

8165Algebra and Functions : Surds : Exam Question

8154Algebra and Functions : Surds : Exam Question

8151Algebra and Functions : Modulus graphs : Exam Question

8149Algebra and Functions : Surds : Exam Question

8148Algebra and Functions : Indices : Exam Question

8146Algebra and Functions : Quadratic solving : Exam Question

8139Algebra and Functions : Surds : Exam Question

8127Algebra and Functions : Solving equations : Exam Question

8126Algebra and Functions : Solving equations : Exam Question

8122Algebra and Functions : Surds : Exam Question

8114Algebra and Functions : Factor Theorem : Exam Question

8104Algebra and Functions : Functions and inverses : Exam Question

8101Algebra and Functions : Solving equations : Exam Question

The method

Example 1

Example 2

Example 3

Matching O-test

O-test 1

Linear sequences

Quadratic sequences

Example 1

Example 2

Example 3

Example 4

O-test 1

Four terms

Example 1

Example 2

O-test 1

Geometric sequences

Example 1

O-test 1

The method

Example 1

Example 2

Example 3

Ordering O-test

O-test 1

Timed O-test 1

True or false O-test

Changing the subject 3

Equation buster

Timed O-test 5

Timed O-test 4

Vocabulary O-test

Simplifying expressions

Simplifying 2

Timed O-test 2

Equation or identity O-test

Brackets

Brackets 2

Timed O-test 3

Identities

Identities 2

Identities 3

Powers

Voltage

Evaluating

Evaluating functions

Thermodynamics

Evaluating functions 2

Thermodynamics 2

Mechanics

Know your factors

Mechanics 2

Matching O-test

Solving an equation

Solving an equation 2

Solving an equation 3

Solving an equation 4

Solving an equation 5

Solving an equation 6

O-test 1

Timed O-test 6

Electricity

Changing the subject

Changing the subject 2

Electricity 2

Electricity 3

Find the function

Basic algebra quiz

Resistor

Flexural rigidity

O-test 2

O-test 3

Exam O-test

Randomised Exam Q 2006

Randomised Exam Q 2007

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Introduction

Example 1

Example 2

Example 3

Sort out the method

True or false O-test

Practice

Projectile

Projectile 2

Timed O-test

Application 1

Application 2

Application 3

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

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Cubics using a GDC

Solving ax³+bx²+cx+d=0

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

y=ax³+bx²+cx+d

Plotting O-test 1

Observation O-test

Plotting O-test 2

Identify the coefficients

O-test 1

Form the cubic

Factorising 1

Factorising 2

O-test 2

Linear,quadratic,cubic

True or false

True or false 2

Exam O-test

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2007

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Randomised Exam Q 2013

Investigate Domain and Range

Domain and Range Introduction

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

Equating Coeffs 1

Equating Coeffs 2

Equating Coeffs 3

Equating Coeffs 4

Equating Coeffs O-test 1

Equating Coeffs O-test 2

Timed O-test

Factor theorem 7

O-test 2

Factor theorem 1

Factor theorem 2

Factor theorem 3

Factor theorem 4

Factor theorem 5

Visualise Factor Theorem 1

Visualise Factor Theorem 2

O-test 1

Exam O-test 1

Exam O-test 2

Exam timed O-test

Randomised Exam Q 2004

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Adding & subtracting 2

Vocabulary O-test

Simplifying

Simplifying O-test 1

Simplifying O-test 2

Multiplying & dividing 1

Multiplying & dividing 2

Adding & subtracting 1

4 rules O-test 1

4 rules O-test 2

Timed O-test

Sequence O-test 1

Sequence O-test 2

True or false O-test

Solving equations 1

Solving equations 2

Solving equations 3

Solving equations 4

Solving equations 5

Solving equations 6

O-test 1

O-test 2

Exam O-test

Randomised Exam Q 2006

Randomised Exam Q 2006

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Match Composite Functions 2

Function notation

Explore Composite Functions 2

Investigate Odd and Even Functions

Introduction

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

Investigate Strictly Increasing/Decreasing

O-test 3

Composition 10

O-test 4

Bounded functions

Bounded functions 2

Bounded functions 3

Even functions

Piecewise functions

Even functions 2

Even functions 3

Odd functions

Odd functions 2

Odd functions 3

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

Velocity

Displacement

Displacement 2

Failure rates

Transfer functions

Exam O-test

Exam timed O-test

Randomised Exam Q 2000

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Example 6

Example 1

Investigate Functions and Inverses

Example 3

Example 4

Example 5

Verify inverses

Self Inverse O-Test

Inverses on a GDC

True or false

Matching O-test

O-test 1

O-test 2

O-test 3

Exam O-test 1

Exam O-test 2

Exam O-test 3

Randomised Exam Q 2000

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O-test 10

Basics

Introduction

Simplifying indices

The laws of indices

Simplifying indices 2

Simplifying indices 3

Evaluating indices

Solving equations

Solving equations 2

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

Thermodynamics

O-test 9

Thermodynamics 2

Exam O-test 1

Exam O-test 2

Randomised Exam Q 2001

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O-test 1

Solving

Plotting inequalities

Investigate Linear Inequalities

Investigate Quadratic Inequalities

Describe the inequality

Introduction

Solving 2

Solving quadratics

Solving quadratics 2

Solving quadratics 3

Timed O-test 2

O-test 2

Exam O-test 1

Exam O-test 2

Randomised Exam Q 2002

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Long division 3

Long division 2

Long division 1

Avoiding long division

Avoiding long division 2

O-test

y=|f(x)| and y=f(|x|)

y=|ax²+bx+c|

y=ax³+bx²+cx+d & y=f(|x|)

More modulus graphs 2

y=|mx+c|+b

y=|f(x)| and y=f(|x|) 2

y=|ax³+bx²+cx+d|

y=m|x|+c

More modulus graphs

y=|mx+c|

y=|m(x+c)|

Modulus graph quiz

Plotting O-test 1

Plotting O-test 2

Modulus equations 1

Modulus equations 2

Modulus equations 3

Modulus equations 4

Modulus equations 5

True or false O-test

Modulus equations 6

Modulus equations 7

Modulus equations 8

Modulus equations 9

Plotting on a GDC

O-test 1

O-test 2

Exam O-test

Randomised Exam Q 2000

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Curve recognition

Quartics

Other powers

Match Polynomial Curves

Curve recognition 2

Matching O-test

Assessment

Quadratic factor

Graphs 1

Graphs 2

Quadratic factor 2

Graphs 3

Top same degree as bottom

Top higher degree

Graphs 4

Graphs 5

Algebra 1

Two linear factors

Two linear factors 2

O-test 1

Two linear factors 3

O-test 2

O-test 1

Quadratic factors

Quadratic factors 2

Quadratic factors 3

Quadratic factors 4

3 linear factors

3 linear factors 2

O-test 2

True or false quiz

Matching O-test

Repeated factor

Repeated factor 2

O-test 3

Polynomial division

Polynomial division 2

Top and bottom same degree

Top higher degree

O-test 4

The "cover-up" method

"Cover-up" 2

"Cover-up" 3

Exam O-test 1

Exam O-test 2

Exam timed O-test 1

Exam timed O-test 2

Randomised Exam Q 2000

Randomised Exam Q 2003

Randomised Exam Q 2003

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Step functions

The Heaviside function

Heaviside 2

Other graphs

Investigate 1

Investigate 2

Investigate 3

Investigate 4

Investigate 5

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Piecewise graphs on a GDC

(a+b)³

(a+b)²

Plot Quadratics (y=(x-a)(x-b))

True or false O-test 2

Investigate Quadratic Roots

More on y=(x-a)²+b

O-test 1

Plot Quadratics (y=(x-a)²+b)

O-test 2

Min and max

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

Plot Quadratics (y=ax²+bx+c)

Plotting O-test 2

Basic shape

Observation O-test 1

Plotting O-test 1

Observation O-test 2

Timed O-test

Using a GDC

More on y=(x-a)(x-b)

Curve recognition

Match Factors of Quadratic Curves

Axis of symmetry

Curve recognition 3

Quadratic curve quiz

True or false O-test 1

Current

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2013

Factorising

Factorising 4

Expanding brackets

Expanding brackets 2

Expanding brackets 3

Practise

Factorising 2

Factorising 3

Factorising 5

True or false O-test

Practise factorising

Inductance

Acceleration

Timed O-test

Matching O-test

Factorising O-test

Randomised Exam Q 2007

Randomised Exam Q 2008

Using a GDC

True or false O-test

Completing the square 3

Completing the square

By factorising

Completing the square 2

Using the formula

The discriminant

The discriminant 2

Using a GDC 2

Using a GDC 3

Timed O-test

Bending moments

O-test 1

O-test 2

Bending moments 2

O-test 3

Displacement

Exam O-test 1

Exam O-test 3

Randomised Exam Q 2001

Randomised Exam Q 2003

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Simplifying

Simplifying 2

Multiplying and dividing

Adding and subtracting

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

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y=1/(x+a) +b

y=a/x

Symmetries

Current

Plotting O-test

Exam O-test

Randomised Exam Q 2007

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

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Quadratics

Quadratics 2

Quadratics 3

Quadratics 4

Quadratics 5

Quadratics 6

Quadratics 7

Quadratics 8

Cubics

Cubics 2

Cubics 3

Cubics 4

Cubics 5

Quartics

Substitution method

Exam O-test 1

Exam O-test

Exam O-test 2

Randomised Exam Q 2007

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Investigate Linear & Quadratic

Investigate Two Quadratics

Linear graphs

Solve by elimination 1

Solve by elimination 2

Solve by elimination 3

Solve by elimination 4

Solve by substitution 1

Solve by substitution 2

O-test 1

O-test 2

Simultaneous equations

Simultaneous equations

Unique solutions

No solutions

Linear and quadratic 3

Linear and quadratic 4

Linear and quadratic 5

Linear and quadratic 6

Linear and circle

Two quadratics 1

Two quadratics 2

Two quadratics 3

Linear equations on a GDC

Kirchhoff's law

Linear equations on a GDC 2

Exam O-test 1

Exam O-test 2

Exam O-test 3

Randomised Exam Q 2000

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Using a GDC 2

Using a GDC

Randomised Exam Q 2014

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Randomised Exam Q 2014

Simplifying surds

More simplifying

More simplifying 2

More simplifying 3

Multiplying surds

Multiplying surds 2

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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Introduction

Trig Graphs Video

The Sine/Cosine Curves

Cubic Graph Transformations

y=f(x)+d Practice

Investigate Transformations: y=af(bx)

Investigate Transformation: y=f(bx)

More y=f(x+c) Examples

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

Spot the transformation 2

Spot the transformation 3

Spot the transformation 4

Investigate Transformation: y=f(x+c)

Investigate Transformation: y=f(x)+d

Investigate Transformation: y=af(x)

Some More y=af(x) Examples

y=af(x) Practice

Investigate Transformations: y=f(x+c)+d

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 1

Exam O-test 2

Exam O-test 3

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XTRA 2

XTRA 1

XTRA 1

XTRA 3

Quiz

Downloadable files

First fit algorithm

First fit algorithm 2

First fit algorithm 3

First fit decreasing algorithm

First fit decreasing algorithm 2

First fit decreasing algorithm 3

Programming on a GDC 2

Exam O-test

Programming on a GDC

Loops

Loops 2

Zeller's algorithm

Pseudo code

Pseudo code 2

Pseudo code 3

Randomised Exam Q 2008

Randomised Exam Q 2011

Binary search

Insertion sort algorithm

Test your sorting speed

Comparing algorithms

Interchange sort algorithm 2

Interchange sort algorithm

Bubble sort algorithm

Bubble sort algorithm 2

Bubble sort algorithm 3

Quick sort algorithm

Quick sort algorithm 2

Randomised Exam Q 2006

MIT video: quick sort

Vocabulary

Nodes and arcs

Traversability

The Bridges of Königsberg

Planar graphs

Minimum spanning trees

Prim's algorithm defined

Prim's algorithm defined 2

Prim's algorithm 1

Prim's algorithm 2

Prim's algorithm 3

Prim's algorithm 4

Prim's algorithm 5

Prim's algorithm - Norfolk

Prim's algorithm - Britain

Prim's algorithm - Europe

Prim's algorithm - London Tube

Prim distance table

Kruskal's algorithm defined

Kruskal's algorithm defined 2

Kruskal's algorithm 1

Kruskal's algorithm 2

Kruskal's algorithm 3

Kruskal's algorithm 4

Kruskal's algorithm 5

Kruskal's algorithm - Norfolk

Kruskal's algorithm - Britain

Kruskal's algorithm - Europe

Kruskal's algorithm - London Tube

Mazes

Planarity algorithm

Dijkstra's algorithm defined

Dijkstra's algorithm 2

Dijkstra's algorithm

Dijkstra's algorithm 3

Dijkstra's algorithm 4

Dijkstra's algorithm - Norfolk

Dijkstra's algorithm - Britain

Dijkstra's algorithm - Europe

Dijkstra's algorithm -London Tube

MIT video: shortest paths

MIT video: greedy algorithms

Impedance

Impedance 2

Impedance 3

Impedance 4

Impedance 5

Vibrations

Fluid flow

Fluid flow 2

Resistor

Variable load resistor

Failure rate

Thermodynamics

Characteristic impedance

Voltage

Voltage 2

Voltage 3

Reliability engineering

Reliability engineering 2

Impedance

Amplifier

Example 1

Example 1

Example 1

Arc length 1

Arithmagon O-test 3

Timed O-test 2

Timed O-test 1

Arithmagon O-test 4

Arithmagon O-test 2

Timed FT O-test 3

Arithmagon O-test 1

Timed FT O-test 2

Addition

Subtraction

Column addition 1

Column addition 2

Column subtraction

Example 1

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

Number wall O-test 5

Number wall O-test 6

Number wall O-test 7

Timed FT O-test 1

How to...

A skillful player

3-dart finish

Harder 3-dart finish

O-test 1

O-test 2

O-test 3

O-test 4

Timed O-test 1

O-test 3

O-test 2

O-test 1

Rounding off 1

Rounding off 2

Rounding off 3

Rounding off 4

Significant figures 1

Significant figures 2

Example 1

Example 2

Example 3

Example 4

Example 5

Ordering O-test 1

Ordering O-test 2

Ordering O-test 3

Ordering O-test 4

Timed O-test 2

Example 1

Example 4*

Prime decomposition

Lowest common multiple

Factors - What I'd do...

Highest common factor

Highest common factor

Multiples

What I'd do...

Lowest common multiple 2

Example 1

Example 2

Example 2

Example 3

Example 3*

Example 4

Example 5

Example 5

Example 6

Example 7

O-test 1

O-test 1

O-test 2

O-test 2

O-test 3

O-test 3

O-test 4

Number wall O-test 1

Exam O-test 1

Number wall O-test 2

Timed O-test

Timed O-test 2

Timed O-test 3

Timed O-test 1

Multiplication 1

Multiplication 2

Division

Multiply by powers of 10

Column multiplication

Multiplication T O-test 1

Multiplication T O-test 2

Number wall O-test 1

Number wall O-test 2

Number wall O-test 3

Number wall O-test 4

Timed FT O-test 1

Arithmagon O-test

Timed O-test 1

Timed O-test 3

Timed FT O-test 1

Timed FT O-test 2

Adding on a positive number

Subtracting a positive number

Adding a negative number

Subtracting a negative number

Subtraction

Addition

Thermometer

Division

Number machine 1

Number machine 2

Number machine 3

Number machine 4

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

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

Number wall O-test 5

Timed O-test 2

Ordering O-test

Definition

Definition 2

Example 1

Example 2

Multiple choice O-test

Numbers in words O-test

Timed O-test

Numbers from words O-test

Ordering O-test 1

Ordering O-test 2

Timed O-test

Example 7

Prime factors

Example 6

Example 1

Example 2

Example 3

Example 4

Example 5

Factor tree O-test 1

Factor tree O-test 2

Factor tree O-test 3

O-test 1

O-test 2

Mistake 1

Mistake 2

Mistake 3

Mistake 4

Mistake 5

Mistake 6

Mistake 7

Mistake 8

Mistake 9

Mistake 10

O-test 1

Multiple choice O-test

Timed O-test 1

BODMAS

Example 1

Example 2

Example 3

Example 4

Example 5

Timed FT O-test

Multiple choice O-test

What they are

Mindmap