IGCSE Maths
You may find videos, worksheets and online self-checks for IGCSE Maths here.
UNIT 1 - Integers
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VIDEO 1: Introduction to Numbers
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VIDEO 2: Types of Whole Numbers
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VIDEO 3: Factors of Numbers
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VIDEO 4: Prime Factorisation
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EXERCISE 3.8 p.53 (all questions)
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VIDEO 5: Highest Common Factor (HCF)
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EXERCISE 3.9 p.54 q.3
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VIDEO 6: Least Common Multiple (LCM)
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EXERCISE 3.10 p.56-7 q.1, 4, 7, 10, 13, 16, 21, 22
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REVIEW EXERCISE p.57-9 q.1 - 8
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WORKSHEET - Prime Factorisation, HCF & LCM
UNIT 2 - Fractions and Decimals
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VIDEO 1 - Addition & Subtraction of Fractions
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VIDEO 2 - Multiplication & Division of Fractions
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WORKSHEET 1 - Worksheet - operations with fractions
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QUIZ​
UNIT 3 - Rounding
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VIDEO 1 - Rounding to Decimal Places (d.p.)
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VIDEO 2 - Rounding to Significant Figures (s.f.)
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VIDEO 3 - Upper and Lower Bounds
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WORKSHEET - Upper and Lower Bounds
UNIT 4 - Ratios and Percentages
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VIDEO 1 - Fractions, Decimals and Percentages
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VIDEO 2 - Simple Percentages
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VIDEO 3 - Percentage Increase
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VIDEO 4 - Percentage Decrease
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VIDEO 5 - Reverse Percentage
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VIDEO 6 - Simple & Compound Interest
UNIT 5 - Powers and Roots
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VIDEO 1 - Basic Powers and Roots
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VIDEO 3 - Laws of Indices - Power Rule
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WORKSHEET 1 - Laws of Indices
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VIDEO 4 - Fractional Powers
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VIDEO 5 - Negative Powers and Reciprocals
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VIDEO 6 - Simplifying Surds
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VIDEO 7 - Addition and Subtraction of Surds
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VIDEO 8 - Multiplication and Division of Surds
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VIDEO 9 - Rationalising the Denominator
UNIT 6 - Standard Form
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VIDEO 1 - Multiplying and Dividing by Powers of 10
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VIDEO 2 - Standard Form
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EXERCISE 3.7 p.51
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Online Self-Check
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UNIT 7 - Direct and Inverse Proportion
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VIDEO 1 - Direct Proportion
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VIDEO 2 - Inverse Proportion
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WORKSEET - Past Paper Questions
UNIT 8 - Travel and Other Graphs
UNIT 9 - Sets
COMING SOON
UNIT 10 - Expansions
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VIDEO 1: Introduction to Algebra
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VIDEO 2: Substitution
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EXERCISE 4.1 p.63 q.1-8, 13-15
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VIDEO 4: Simplifying Expressions - Multiplication and Division
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EXERCISE 4.2 p.66-7, q.7-15
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EXERCISE 4.2 p.66-7, q.19-30
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EXERCISE 4.2 p.66-7, q.36-42
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VIDEO 5: Expanding Brackets - 1
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EXERCISE 4.3 p.69, q.1-12
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EXERCISE 4.3 p.69, q.20-30
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VIDEO 6: Expanding Brackets - 2 (mistake on 2nd example)
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EXERCISE 4.4 p.72, q.1-10
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EXERCISE 4.4 p.72 q.11-20
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EXERCISE 4.4 p.72 q.21-30
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REVIEW EXERCISE 4 p.81-4 q.1-41
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CHAPTER QUIZ​
UNIT 11 - Factorisation
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VIDEO 1 - Factorising Common Factors
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EXERCISE 4.5 p.73 q.1-20
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VIDEO 2 - Factorising by Grouping
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Online Self-Check
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VIDEO 3 - Factorising Quadratic Expressions (a = 1)
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Online Self-Check
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EXERCISE 4.6 p.75 q.1-20
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Online Self-Check (q.1-10)
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Online Self-Check (q.11-20)
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VIDEO 4 - Factorising Quadratic Expressions (a ≠ 1)
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Online Self-Check
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EXERCISE 4.7 p.75-6 q.1-20
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Online Self-Check (q.1-10)
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Online Self-Check (q.11-20)
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VIDEO 5 - Factorising Difference of Squares
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VIDEO 6 - Completing to Square
UNIT 12 - Formulae
COMING SOON
UNIT 13 - Linear Equations
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WORKSHEET 1 - Linear Equations
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WORKSHEET 2 - Linear Equations
UNIT 14 - Graphs of Linear Equations
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VIDEO 1 - Drawing Linear Graphs
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Online Self-Check​
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EXERCISE 6.2 p. 103 q.1-3,5,7,8,10​
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VIDEO 2 - Gradient & y-intercept
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Online Self-Check​
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VIDEO 3 - Parallel & Perpendicular Lines​
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Online Self-Check​
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EXERCISE 6.5 p.112​
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Online Self-Check​
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UNIT 15 - Quadratic Equations
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EXERCISE 22.1 p.430 q.1-20, 31-40
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EXERCISE 22.3 p.435 q.1-20
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VIDEO 3 - Solving Quadratic Equations by Completing to Square
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WORKSHEET - Problems Leading to Quadratic Equations
UNIT 16 - Graphs of Quadratic Equations
COMING SOON
UNIT 17 - Simultaneous Equations
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VIDEO 1: Introduction
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VIDEO 2: Elimination Method
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VIDEO 3: Substitution Method​
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EXERCISE 7.2 p.122-3​
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VIDEO 4: Simultaneous Equations and Graphs​
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EXERCISE 7.3 p.124 q.1,3,5,7
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Online Self-Check​
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EXERCISE 7.4 p.125-6
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Online Self-Check​
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REVIEW EXERCISE p.126-7​
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Online Self-Check (q.1-12)​
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Online Self-Check (q.13-19)
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UNIT 18 - Inequalities
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VIDEO 1: Linear Inequalities
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VIDEO 2: Graphs of Linear Inequalities
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VIDEO 3: Graphs of Quadratic Inequalities
UNIT 19 - Algebraic Fractions
COMING SOON
UNIT 20 - Angles Around a Point and On Parallel Lines
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VIDEO #1 - Angles Around a Point
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VIDEO #2 - Corresponding, Alternate & Other Angles
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Exercise Set - Angles Around a Point & On Parallel Lines (.pdf)
UNIT 21 - Angles in Triangles and Quadrilaterals
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VIDEO #1 - Angles in Triangles
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VIDEO #2 - Angles in Quadrilaterals
UNIT 22 - Angles in Polygons
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Video 2 - Sum of Interior Angles of A Polygon - 1
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Video 3 - Sum of Interior Angles of a Polygon - 2
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Video 4 - Sum of Exterior Angles of A Polygon
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Video 5 - The Size of One Interior / Exterior Angle in a Regular Polygon
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Worksheet - Angles in Polygons
UNIT 23 - Pythagoras Theorem
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VIDEO 1 - Pythagoras Theorem - Finding Sides
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EXERCISE 15.2 p.279-80 - all questions
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EXERCISE 15.3 p.281, q.1-10, 12-15
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VIDEO 2 - Solving Problems with Pythagoras Theorem
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EXERCISE 15.5 p.286 q.1
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REVIEW EXERCISE p.286-8 q.1-7, 9-13
UNIT 24 - Area and Perimeter
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VIDEO 1 - Definition of Area and Perimeter
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VIDEO 2 - Perimeter of Basic Shapes
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VIDEO 3 - Area of Basic Shapes
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VIDEO 4 - Circumference of Circles
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EXERCISE 12.1 p.207-9 q.1, 2, 5, 7, 11 - 13
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VIDEO 5 - Area of Circles
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EXERCISE 12.1 p.207-9 q.3, 4, 6, 8 - 10, 14
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EXERCISE 12.1 p.207-9 q.15 - 20
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EXERCISE 12.3 p.212-3 q.1, 3, 6, 7
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VIDEO 6 - Area and Perimeter of Sectors
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EXERCISE 12.2 p.211 q.1, 3, 5, 7, 9, 10
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REVIEW EXERCISE p.223-7 q.1-5, 7-13, 15-18
UNIT 25 - Surface Area and Volume
COMING SOON
UNIT 26 - Circle Theorems
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VIDEO 1 - Introduction to Circle Theorems
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VIDEO 2 - Tangents and Chords 1 - Tangents
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VIDEO 3 - Tangents and Chords 2 - Chords
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VIDEO 4 - Angle Properties in Circles
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REVIEW EXERCISE​ p.338-42
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WORKSHEET - Past Paper Questions
UNIT 27 - Constructions
COMING SOON
UNIT 28 - Transformations
COMING SOON
UNIT 29 - Similarity
COMING SOON
UNIT 30 - Trigonometric Ratios
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VIDEO 1 - Sine Ratio
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EXERCISE 16.1, p.294, q.1 - 7, 11, 12
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VIDEO 2 - Cosine Ratio
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Online Self-Check (problem on q.2 & 3 - ask me!)
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EXERCISE 16.2, p.297-8, q.1 - 8, 11, 12
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VIDEO 3 - Tangent Ratio
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EXERCISE 16.3, p.300, q.1 - 8, 11, 12
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VIDEO 4 - Inverse Trigonometric Ratios​
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EXERCISE 16.5 p.304
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REVIEW EXERCISE 16​
UNIT 31 - Further Trigonometry
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VIDEO 1 - Sine Rule
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EXERCISE 25.1 - even numbered questions
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VIDEO 2 - Cosine Rule​
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EXERCISE 25.2A - even numbered questions
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EXERCISE 25.2B - even numbered questions​
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VIDEO 3 - Area of a Triangle​
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EXERCISE 25.3 - all questions
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VIDEO 4 - Trigonometry in 3D​
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EXERCISE 25.4 - all questions
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REVIEW EXERCISES​
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WORKSHEET - Past Paper Questions​
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Online Self-Check​
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UNIT 32 - Trigonometric Graphs
COMING SOON
UNIT 33 - Working with Data
COMING SOON
UNIT 34 - Probability
COMING SOON
UNIT 35 - Sequences and Series
UNIT 36 - Functions
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VIDEO 1 - Functions and Function Notation
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VIDEO 2 - Domain & Range of Functions
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VIDEO 3 - Inverse Functions
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VIDEO 4 - Composite Functions
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WORKSHEET - Functions Review
UNIT 37 - Vectors
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VIDEO 1: Introduction to Vectors
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VIDEO 2: Addition, Subtraction and Scalar Multiplication of Vectors
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VIDEO 3: Vector Problems
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EXERCISE 27.4 p.533
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VIDEO 4: A few questions
UNIT 38 - Differentiation
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VIDEO 1: Introduction to Differentiation
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EXERCISE 28.3 p.546-7 q.1-10
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REVIEW EXERCISE p.556 q.2-6
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VIDEO 2: Gradient of a Function
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WORKSHEET 1: Gradient of a Function
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WORKSHEET 2: Gradient of a Function (Past Paper Questions)
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VIDEO 3: Maxima and Minima
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EXERCISE 28.4 p.550-1 q.1-13
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VIDEO 4: Word Problems with Maxima & Minima
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EXERCISE 28.5 p.553-4 q.1-8
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VIDEO 5: Distance, Velocity and Acceleration
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EXERCISE 28.6 p.555 q.1-5
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WORKSHEET 2: Distance, Velocity and Acceleration
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REVIEW EXERCISE p.555-7 q.7-22
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WORKSHEET 3: Past Paper Questions