CIE IGCSE maths-extended Revision Notes
Concise resources for the CIE IGCSE maths extended Course
Unit 1. Number
Worksheet
1.1 Different types of numbers
a) Different types of numbers & surds
1.2 Multiples & factors
a)Multiples & Factors Part 1
b)Multiples & factors Part 2
1.3LCM and HCF
1.4Prime Factors
1.5 Powers & roots
1.6 Working with directed numbers
1.7 Order of Operations
1.8 Rounding Numbers
Revision Worksheet 1
Revision Worksheet 2
Video Playlist
1.1 Different types of numbers
a) Different types of numbers and surds
1.2 Multiples & factors
a) Multiples
b) Factors
1.3 LCM & HCF
1.4 Prime Numbers
1.5 Powers & roots
1.6 Working with directed numbers
1.7 Order of Operations
1.8 Rounding Numbers
Unit 1 : Chapter 2
Accuracy
Rounding
Decimal Places
Lower and Upper Bounds
Lower and Upper Bounds for Geometrical figures
2. Making sense of Algebra
Worksheets
2.1 Using letters to represent unknown values
2.2 More Equations Functions
Setting up Equations
Changing subject of a Formula
Formulae Containing Square and
Past Paper More Equations
Revision Equation Functions
Function and Function Notation
Composite Function
Inverse Function
2.2 Substitution
Isolating the Variable
Substitution
Solving for Expressions
Combining Like Terms
Simplifying algebra Part 2
2.4 Working with brackets
a) Expanding single brackets
b)Expanding brackets practice
2.5 Indices
a) Revising Roots & Powers
b)Laws of Indices Part 1
c)Law of Indices Part 2
d) Enrichment videos refer link in playlist
2.6 Linear Equations
a)Solving Linear Equations
b)Linear Inequalities
c) Solving Linear inequalities
c) Solving linear inequalities on a graph
Video Playlist
2.1 Using letters to represent unknown values
2.2 More Equations Functions
Setting up Equation
Changing Subject of a Formula
Formula containing Square
Past Paper More Equtions
Revision Equation Functions
Function and function Notations
Composite Function
Inverse Function
2.2 Substitution
Isolating the Variable
Substitution
Solving for Expressions
Combining Like Terms
2.3b Simplifying Algebra Part 2
2.4 Working with brackets
b) Expanding Brackets practise
2.5 Indices
a) Revising Roots and Powers
b) Laws of Indices part 1
c) Laws of Indices part 2
d) Enrichment videos refer link in playlist
2.6 Linear Equations
a) Solving Linear Equations
b) Linear Inequalities
c) Solving linear inequalities
c) Solving Linear inequalities on a Graph
Revision Assignments
2.1 Using letters to represent unknown values
2.2 More Equations Functions and
Setting up Equations
Changing subject of a Formula
Formulae Containing Square and
Past Paper More Equations
Revision Equation Functions
Function and Function Notation
Composite Function
Inverse Function
2.2 Substitution
Isolating the variable
Combining like Terms
2.3b Simplifying algebra Part 2
2.4 Working with brackets
a) Expanding single brackets
b)Expanding brackets practice
2.5 Indices
a) Revising Roots & Powers
b)Laws of Indices Part 1
c)Law of Indices Part 2
d) Extra Practice Worksheet
2.6 Linear Equations
a)Solving Linear Equations
b)Linear Inequalities
c) Solving linear inequalities on a g
3. Lines ,angles & shapes
Worksheet
3.1 Lines & Angles
Basic Angle Properties
Angles in parallel lines
3.2 Triangles
3.3 Quadrilaterals
3.4 Polygons
a)Basic Explanation Part 1
3.5 Circles
3.6 Construction
Video Playlist
3.1 Lines & Angles
Basic Angles Properties
Angles in parallel Lines
3.2 Triangles
3.3 Quadrilaterals
3.4 Polygons
3.5 Circles
3.6 Construction
4.Collecting ,organising & displaying data
Video Playlist
4.1 Stem & Leaf Diagram
4.2 Bar Charts & Pictographs
4.3 Pie Charts
4.4 Frequency Polygons
4.5 Statstical Diagrams
4.6 Histogram
4.7 Cumulative Frequency
4.8 Box Plot
4.9 Scatter Graphs
5.Fractions & Standard Form
Worksheet
5.1 Equivalent Fractions
5.2 Operations on fractions
5.3 Percentages
5.4 Standard Form
5.5 Your Calculator & standard form
5.6 Estimation
Video Playlist
5.1 Equivalent Fractions
5.2 Operations on fractions
5.3 Percentages
5.4 Standard Form
5.5 Your Calculator & standard form
5.6 Estimation
6. Equations & rearranging formulae
Worksheet
6.1 Further expansions of brackets
6.3 Factorising algebraic expressions
a) Simple Factorization
b) Factorising Quadratics
6.4 Rearrangement of a formula
Changing subject of a Formula
Formulae Containing Square and
Video Playlist
6.1 Further expansions of brackets
6.3 Factorizing algebraic expressions
a) Simple Factorization
b) Factorizing Quadratics
6.4 Rearrangement of a formula
Changing Subject of a Formula
Formula containing Square
7. Perimeter ,Area & Volume
Worksheet
7.1 Perimeter & Area in two dimensions
7.2 Three -Dimensional Objects
7.3 Surface area & Volumes of Solids
Video Playlist
7.1 Perimeter & Area in two dimensions
7.2 Three -Dimensional Objects
7.3 Surface area & Volumes of Solids
8. Introduction to Probability
Worksheet
8.1 Basic probability
8.2 Theoretical probability
8.3 The probability that an event does not happen
8.4 Possibility diagrams
8.5 Combining independent & mutually exclusive events
Video Playlist
8.1 Basic probability
Frequency Tree
Theoretical Probabiity v/s Relative Probability
Relative and Expected Frequency
8.2 Probability Diagrams
1. Two way Table
2. Probability and Venn Diagrams
3. Probability Tree Diagrams
8.3 Conditional Probability
9. Sequence & Sets
Worksheet
9.1 Sequences
9.2 Rational & irrational numbers
9.3 Sets
Video Playlist
9.1 Sequences
9.2 Rational & irrational numbers
9.3 Sets
10. Straight lines & quadratic equations
Worksheet
10.1 Straight Lines
a) Basic Co-ordinate Geometry
b) Equation of a line
Identify the co-ordinates and find equation of Straight line
Calculate the gradient and y- intercept
c) Gradient of a line
d)Mid-point of a line
e)Length of a line
f) Drawing Straight line graphs
Parallel lines and their equations
Perpendicular Lines
g)Parallel & Perpendicular Lines
h) Practice questions on equations of a line
Graphical solution of Simultaneous Equations
Equation of a line passing through two points
10.2 Quadratic Expressions
a) Factorizing Quadratics
b) Quadratic Formula
c) Completing the Squares
d) solving Quadratic Equations
e) Quadratic Graphs
Video Playlist
10.1 Straight Lines
a)Basic Co-ordinate geometry
b)Equation of a Line
c)Gradient of a Line
d) Mid-point of a Line
e) Length of a Line
f)Drawing Straight line Graphs
g) Parallel and Perpendicular Lines
h) Practice questions on Equation of a Line
10.2 Quadratic Expressions
a) Factorizing Quadratics
b) Quadratic Formula
c) Completing the Squares
d) solving Quadratic Equations
e) Quadratic Graphs
11. Pythagoras Theorem & Similar Shapes
Worksheet
11.1 Pythagoras Theorem
11.2 Understanding similar triangles
11.3 Understanding similar shapes
11.4 Understanding congruence
Video Playlist
11.1 Pythagoras Theorem
11.2 Understanding similar triangles
11.3 Understanding similar shapes
11.4 Understanding congruence
12. Averages & measures of spread
Worksheet
12.1 Different Types of average
12.2 Making comparisons using averages & ranges
12.3 Calculating averages & ranges for Frequency data
12.4 Calculating averages & ranges for grouped continous data
12.5 Percentiles & Quartiles
12.6 Box & Whisker Plots
Video Playlist
12.1 Different Types of average
12.2 Making comparisons using averages & ranges
12.3 Calculating averages & ranges for Frequency data
12.4 Calculating averages & ranges for grouped continous data
12.5 Percentiles & Quartiles
12.6 Box & Whisker Plots
13.Understanding Measurement
Worksheet
13.1 Understanding Units
13.2 Time
13.3 Upper & Lower bound
Revision Understanding Measurements
13.4 Conversion Graphs
Video Playlist
13.1 Understanding Units
13.2 Time
13.3 Upper & Lower bound
13.4 Conversion Graphs
13.5 More Money
cp 14. Further Solving Equations and Inequalities
Graphical Solution of Simulataneous Equations
Solving by substitution
Solving by Elimination 1
Solving by Elimination 2
Solving by Elimination 3
Linear Inequality
Solving Linear inequalities
Linear Programming Part 1
Linear Programming Part 2
Completing the Squares
Quadratic Formula
Factorizing Quadratics where the co-efficient of x2 is not 1
cp 15: Scale Drawings, bearings and Trigonometry
Scale Drawings
Symmetry 2D Shapes
Symmetry 2D Shapes Rotational Symmetry
Symmetry 3D Shapes Plane Of Symmetry
Symmetry 3D Shapes Rotational Symmetry
Graph of sin x and cos x
Exact Trig Values
All Trigonometry equations you need to know
Sine Rule
Graph of Trigonometry functions
Sine Rule with Bearings
Cosine Rule with Bearings
Area of Triangle using Trigonometry
Scale Drawings
Symmetry 2D Shapes
Symmetry 2D Shapes Rotational Symmetry
Symmetry 3D Shapes Plane Of Symmetry
Symmetry 3D Shapes Rotational Symmetry
Graph of sin x ad cos x
Graph of Trigonometry functions
Trigonometry Application
Revision Scale drawing and Trigonometry
Bearings
Sine Rule with Bearings
Cosine Rule with Bearings
Area of Triangle using Trigonometry
3D Trigonometry
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Cp 17 : Managing Money
Managing Money
Simple Interest
Simple and Compound Interest Past Papers
Hire Purchase
Revision Managing Money
More Money
Simple Interest
Simple and Compound Interest Past Papers
Hire Purchase
Revision Managing Money
Unit 6
cp 21: Ratio, rate and proportion
Working with Ratio
Ratio and Scale
Rates
Kinematic Graph
Speed Time Graph
Proportion in Algebraic terms
Increase and Decrease in given ratio
Statistics
Cumulative Frequency Curve
Percentile and Quartile
Histogram
Unit 2
Unit 3
Unit 4
Unit 5
17. Managing money
18. Curved Graphs
a) Drawing Quadratic Graphs ( Parabola )
b) Drawing Reciprocal Graphs ( Hyperbola )
19. Symmetry
20. Histogram & Frequency distribution diagrams
Unit 6
Trignometry
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Cp 17 : Managing Money
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