GCSE Maths



Looking for free GCSE or IGCSE Maths help?
We have a collection of videos, games, activities and worksheets that are suitable for GCSE Maths or IGCSE Maths.

In this lesson, we will look at

  • Concepts that you will need to know for the GCSE Maths: Sets, Numbers, Ratio & Proportions, Percentages, Graphs. Algebra, Indices & Surds, Geometry, Trigonometry, Vectors, Matrices, Transformation, Construction, Statistics & Data Handling, Probability & Functions.
  • Worked solutions for some GCSE maths examinations.

Sets Videos

Set Notation Universal Sets, Subsets, Equal Sets, Disjoint Sets
Set Operations - Union, Intersection, Complement Venn Diagrams I
Venn Diagrams II Venn Diagram Word Problems

Number Videos

Order of Operations - BODMAS Standard Form
Rounding and Decimal Places Significant Figures
Squares and Roots, Cubes and Cube Roots Rational and Irrational Numbers
Directed Numbers Highest Common Factor (HCF)
Highest Common Factor (HCF) & Lowest Common Multiple (LCM) HCF & LCM
GCSE Questions: HCF & LCM Linear Sequences
Quadratic and Cubic Sequences Number Sequences I
Number Sequences II Multiplying & Dividing Fractions
Adding Fractions Adding & Subtracting Fractions
Multiplying and Dividing Decimals Convert Recurring Decimals to Fractions
Recurring Decimals Exam Questions Ordering Decimals and Fractions
Inequalities and the Number Line Solving Inequalities
Upper and Lower Bounds I Upper and Lower Bounds II
GCSE Proofs  


Ratio and Proportions Videos

Ratio and Proportion Direct and Inverse Proportion
Ratio and Proportion Problems I Ratio and Proportion Problems II
Ratio Exam Questions Ratio and Proportion Exam Questions

Percentages Videos

Convert between Percentages and Decimals Convert between Percentages, Decimals and Fractions
Find Percentages of a Number I Find Percentages of a Number II
Find Percentage Increase and Decrease Find Percentage Change
Reverse Percentage Problems I Reverse Percentage Problems II
Compound Interest


Graph Videos

Plot Straight Line Graphs Draw Straight Line Graphs
Gradient of Straight Line Graphs Find Equations of Straight Line Graphs
GCSE Questions Straight Line Graphs I GCSE Questions Straight Line Graphs II
Midpoint and Distance Formula GCSE QuestionsMidpoint and Distance Formula
Equations of Perpendicular and Parallel Lines GCSE Questions Parallel Lines and Perpendicular Lines
Distance-Time Graphs and Speed-Time Graphs Draw Quadratic Graphs
Vertex and Minimum Points of Quadratic Graphs Exponential Graphs and Reciprocal Graphs
Exponential Growth and Decay Recognition of Graphs
Transformation of Graphs Translation of Graphs




Algebra Videos

Algebra Tutorial I Algebra Tutorial II
Solving Linear Equations Expand Algebraic Expressions I (Expand Brackets)
Expand Algebraic Expressions II (Expand Brackets) Expand and Simplify Algebraic Expressions
Algebraic Simplification I Algebraic Simplification II
Expand Double Brackets I (Binomials) Expand Double Brackets II (Binomials)
Factorise Algebraic Expressions Highest Common Factor Factorise Algebraic Expressions Difference of Squares
Factorise Algebraic Expressions - By Grouping Factorise Algebraic Expressions - AC Method

Factoring Quadratics


Trial and Improvement Factorise Quadratic Expressions I
Factorise Quadratic Expressions II Factorise and Solve Quadratic Equations I
Factorise and Solve Quadratic Equations II Factoring Quadratics with coefficient > 1
Factoring Quadratics Difference of Two Squares GCSE Questions Difference of Two Squares
Completing the Square Solving Quadratic EquationsCompleting the Square I
Solving Quadratic Equations Completing the Square II Solving Quadratic Equations Completing the Square III
Solving Quadratic Equations Quadratic Formula Discriminant Problems
GCSE QuestionsFactoring Quadratics GCSE QuestionsCompleting the Square
GCSE Question Quadratic Equations I GCSE Question Quadratic Equations II
Change Subject of Formula I Change Subject of Formula II
Change Subject of Formula Exam Questions Introduction to Algebraic Fractions
Multiply Algebraic Fractions Divide Algebraic Fractions
Add Algebraic Fractions Add and Subtract Algebraic Fractions
Examples of Simplifying Algebraic Fractions I Examples of Simplifying Algebraic Fractions II
Examples of Simplifying Algebraic Fractions III Examples of Simplifying Algebraic Fractions IV
GCSE QuestionsAlgebraic Fractions GCSE Questions Algebraic Fractions in Equations
Solve Simultaneous Equations by Elimination I Solve Simultaneous Equations by Elimination II
Solve Simultaneous Equations by Elimination III Solve Simultaneous Equations by Substitution
Solve Simultaneous Equations Graphically Solve Simultaneous Equations 1 Linear, 1 Quadratic
GCSE Questions Simultaneous Equations GCSE Questions Linear and Quadratic
Intoduction to Inequalities Solve Linear Inequalities
Linear Programming Solve Quadratic Inequalities I
Solve Quadratic Inequalities II Algebra Problems (Quadratics)
Algebra Word Problems (Speed, Distance, Time) Algebra Word Problems (Numbers)
Algebra Word Problems GCSE Proofs
Algebraic Proofs  




Indices and Surds Videos

Introduction to Indices Multiplication and Division Rules of Indices
Power Rule of Indices Negative and Fractional Indices
Rules or Laws of Indices Reciprocals and Indices
Exam Questions on Indices I Exam Questions on Indices II
Exam Questions on Indices III Exam Questions on Negative and Fractional Indices
Introduction to Surds Multiply and Divide Surds
Simplify Surds I Simplify Surds II
Rationalise Surds Rationalise the Denominator
More Examples with Surds Exam Questions on Surds I
Exam Questions on Surds II Exam Questions on Surds III

Geometry Videos

Complementary Angles Supplementary Angles
Vertical Angles Using complementary, supplementary, adjacent, and vertical angles
Angles in Parallel Lines Classifying Triangles
Find the missing angle in a triangle Congruent Triangles
Congruent and Similar Triangles Interior and Exterior Angles of Triangles I
Interior and Exterior Angles of Triangles II Interior and Exterior Angles of Quadrilaterals
Interior and Exterior Angles of Polygons I Interior and Exterior Angles of Polygons II
Pythagoras' Theorem Loci
Area and Perimeter of Rectangles Find Missing Measures given Area
Area and Applications of Triangles Area of Trapeziums, Parallelograms and Kites
Area and Applications of Circles, Sectors & Segments GCSE QuestionsSectors and Segments
Circle Word Problems Volume of Cylinders
Volume of Prisms Volume of Pyramids
Volume of Cones and Spheres Surface Area of Cylinders
Surface Area of Prisms and Pyramids Surface Area of Cones and Spheres
Area of Composite Figures I (Rectangles) Area of Composite Figures II (Rectangles)
Area of Composite Figures Rectangles and Triangles Area of Composite Figures Circles and Trapeziums
Surface Area of Composite Figures Prisms, Cones, Spheres, Pyramids Surface Area of Similar Figures
Scale Factors of Shapes I Scale Factors of Shapes II
Shapes and Space Exam Questions Cylinders & Spheres Exam Questions
Volume Exam Questions I Volume Exam Questions 2
Volume and Surface Area Exam Questions I Volume and Surface Area Exam Questions II
Circle Theorems I Circle Theorems II
GCSE Questions Circle Theorem I GCSE Questions Circle Theorem II
Tangent to Circles 3D Coordinates

Trigonometric Videos

Trigonometric Ratios Sine Ratio
Cosine Ratio Tangent Ratio
Finding the Side of a Right-Angled Triangle Trig Ratios for multiples of 30, 45 and 60 degrees
Finding exact Trig Values SOHCAHTOA and Pythagoras' Theorem
Sine Rule Sine Rule Exam Questions
Cosine Rule Cosine Rule and Area of Triangle
Area of Triangle using Sine Trigonometry in 3 Dimensions
Bearings in Trigonometry Trigonometric Graphs I
Trigonometric Graphs II Transformation of Trigonometric Graphs
GCSE Proofs  

Vector Videos

Vectors Vectors Exam Questions
Vectors and Vector Addition Vector Subtraction & Scalar Multiplication



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Matrices Videos

Introduction to Matrices Matrix Addition and Subtraction I
Matrix Addition and Subtraction II Matrix Scalar Multiplication
Matrix Multiplication I Matrix Multiplication II
Matrix Multiplication III Identity Matrix
Determinant of a 2x2 Matrix Inverse of 2x2 Matrix I
Inverse of 2x2 Matrix II Singular Matrix A Matrix with no Inverse
Solving a 2x2 System of Equations Using a Matrix Inverse I Solving a 2x2 System of Equations Using a Matrix Inverse II

Transformation Videos

Transformation - Translation, Reflection, Rotation, Enlargement Negative and Positive Scale Factor Enlargement
Transformation Games  

Construction Videos

Copy a Line Segment Construct Congruent Angles
Construct Perpendicular Bisector Construct Angle Bisector
Construct Parallel Lines Construct Perpendicular through a Point on a Line
Construct Perpendicular through a Point not on a Line  

Statistics and Data Handling Videos

Frequency Tables Frequency Tables, Mean & Measures of Central Tendency
Mean & Median from Grouped Frequency Tables Mean, Median & Mode from Grouped Frequency Tables
Cumulative Frequency Graphs Investigating Cumulative Frequency Graphs
Histogram Tutorial Histograms I
Histograms II Box Plots
Stem and Leaf Diagrams Scatter Graphs and Correlations
Moving Averages Stratified Sampling I
Stratified Sampling II Relative Frequency




Probability Videos

Probability Conditional Probability GCSE Questions
Probability Tree Diagrams I Probability Tree Diagrams II
Probability Tree Diagrams
GCSE Exam Questions
Permutation and Combination Tutorial

Function Videos

Function Notation Inverse Functions
Composite Functions  

Questions and Answers for GCSE Edexcel Examinations

GCSE Edexcel 5384 higher 2010 November non-calculator Paper GCSE Edexcel June 2011 Q1, Q2, Q3
GCSE Edexcel June 2011 Q4, Q5, Q6, Q7, Q8 GCSE Edexcel June 2011 Q9, Q10, Q11
GCSE Edexcel June 2011 Q12, Q13, Q14 GCSE Edexcel June 2011 Q15, Q16
Edexcel GCSE Maths Modular Higher Unit 2November 2011 Q1, Q2, Q3 Edexcel GCSE Maths Modular Higher Unit 2November 2011 Q4, Q5, Q6
Edexcel GCSE Maths Modular Higher Unit 2November 2011 Q7, Q8, Q9, Q10, Q11 Edexcel GCSE Maths Modular Higher Unit 2November 2011 Q12, Q13, Q14, Q15, Q18

Questions and Anwers for GCSE AQA Examinations

AQA Maths 33005 June 2006 Mod5 Higher Paper 1 Q1 - Q6 AQA Maths 33005 June 2006 Mod5 Higher Paper 1 Q7 - Q11
AQA Maths 33005 June 2006 Mod5 Higher Paper 1 Q13 - Q14  

A Star GCSE Revision Exam Style Questions

A Star GCSE Revision Exam Style Questions (Part 1) A Star GCSE Revision Exam Style Questions (Part 2)
A Star GCSE Revision Exam Style Questions (Part 3) A Star GCSE Revision Exam Style Questions (Part 4)
A Star GCSE Revision Exam Style Questions (Part 5) A Star GCSE Revision Exam Style Questions (Part 6)
A Star GCSE Revision Exam Style Questions (Part 7) A Star GCSE Revision Exam Style Questions (Part 8)
A Star GCSE Revision Exam Style Questions (Part 9) A Star GCSE Revision Exam Style Questions (Part 10)



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