# GCSE Maths made completely easy!

Get better marks with our complete help for GCSE Maths! Our maths tutors have you all covered - whether it's for Edexcel (Pearson), AQA, OCR or WJEC.

Aligning with the new GCSE maths 9 - 1 specifications of all exam boards, our comprehensive lessons cover content in all six topic areas including Number; Algebra; Ratio, proportion and rates of change; Geometry and measures; Probability; and Statistics. Learn the concepts with our video tutorials that show you step-by-step solutions to even the hardest gcse maths questions. Then, strengthen your understanding with tons of GCSE maths practice questions.

All our lessons are taught by experienced maths teachers. Let's finish your maths revision in no time, and get a 9 in that GCSE maths exam.

##### 1Numbers and Relations

##### 2Adding and Subtracting Integers

##### 3Multiplying and Dividing Integers

##### 4Operations with decimals

##### 5Adding and Subtracting Fractions

##### 6Multiplying and Dividing Fractions

##### 7Percents

##### 8Ratios, Rates, and Proportions

##### 9Pythagorean Theorem

##### 10Scale Factors and Similarity

##### 11Solving Linear Equations

##### 12Measuring Systems

##### 13Number System

##### 14Surds

##### 15Algebraic Expressions

##### 16Linear Functions

- 16.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
- 16.2Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$
- 16.3Gradient equation: $m = \frac{y_2-y_1}{x_2- x_1}$
- 16.4Gradient intercept form: y = mx + b
- 16.5General form: Ax + By + C = 0
- 16.6Gradient-point form: $y - y_1 = m (x - x_1)$
- 16.7Rate of change
- 16.8Graphing linear functions using table of values
- 16.9Graphing linear functions using x- and y-intercepts
- 16.10Graphing linear functions using various forms
- 16.11Graphing linear functions using a single point and gradient
- 16.12Word problems of graphing linear functions
- 16.13Parallel and perpendicular lines in linear functions
- 16.14Applications of linear relations
- 16.15Perpendicular line equation

- 16.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
##### 17Simultaneous Equations

- 17.1Determining number of solutions to linear equations
- 17.2Solving simultaneous linear equations by graphing
- 17.3Solving simultaneous linear equations by elimination
- 17.4Solving simultaneous linear equations by substitution
- 17.5Money related questions in linear equations
- 17.6Unknown number related questions in linear equations
- 17.7Distance and time related questions in linear equations
- 17.8Rectangular shape related questions in linear equations
- 17.9Simultaneous linear-quadratic equations
- 17.10Simultaneous quadratic-quadratic equations
- 17.11Solving 3 variable simultaneous equations by substitution
- 17.12Solving 3 variable simultaneous equations by elimination
- 17.13Solving 3 variable simultaneous equations with no solution, infinite solutions
- 17.14Word problems relating 3 variable simultaneous equations

- 17.1Determining number of solutions to linear equations
##### 18Factorising Quadratic Functions

##### 19Quadratic Functions

- 19.1Introduction to quadratic functions
- 19.2Transformations of quadratic functions
- 19.3Quadratic function in general form: $y = ax^2 + bx+c$
- 19.4Quadratic function in vertex form: $y = a(x-p)^2 + q$
- 19.5Completing the square
- 19.6Converting from general to vertex form by completing the square
- 19.7Shortcut: Vertex formula
- 19.8Graphing quadratic functions: General form VS. Vertex form
- 19.9Finding the quadratic functions for given parabolas
- 19.10Applications of quadratic functions

- 19.1Introduction to quadratic functions
##### 20Solving Quadratic Equations

- 20.1Solving quadratic equations by factorising
- 20.2Solving quadratic equations by completing the square
- 20.3Using quadratic formula to solve quadratic equations
- 20.4Nature of roots of quadratic equations: The discriminant
- 20.5Solving polynomial equations by iteration
- 20.6Applications of quadratic equations

- 20.1Solving quadratic equations by factorising
##### 21Inequalities

##### 22Algebraic Fractions

- 22.1Simplifying algebraic fractions and restrictions
- 22.2Adding and subtracting algebraic fractions
- 22.3Multiplying algebraic fractions
- 22.4Dividing algebraic fractions
- 22.5Solving equations with algebraic fractions
- 22.6Applications of equations with algebraic fractions
- 22.7Simplifying complex fractions
- 22.8Partial fraction decomposition

- 22.1Simplifying algebraic fractions and restrictions
##### 23Reciprocal Functions

##### 24Functions

- 24.1Function notation
- 24.2Operations with functions
- 24.3Adding functions
- 24.4Subtracting functions
- 24.5Multiplying functions
- 24.6Dividing functions
- 24.7Composite functions
- 24.8Inequalities of combined functions
- 24.9Inverse functions
- 24.10One to one functions
- 24.11Difference quotient: applications of functions

- 24.1Function notation
##### 25Transformations

- 25.1Transformations of functions: Horizontal translations
- 25.2Transformations of functions: Vertical translations
- 25.3Reflection across the y-axis: $y = f(-x)$
- 25.4Reflection across the x-axis: $y = -f(x)$
- 25.5Transformations of functions: Horizontal stretches
- 25.6Transformations of functions: Vertical stretches
- 25.7Combining transformations of functions
- 25.8Even and odd functions

- 25.1Transformations of functions: Horizontal translations
##### 26Sequences

##### 27Indices and Exponential Functions

- 27.1Indices: Product rule $(a^x)(a^y)=a^{(x+y)}$
- 27.2Indices: Division rule ${a^x \over a^y}=a^{(x-y)}$
- 27.3Indices: Power rule $(a^x)^y = a^{(x\cdot y)}$
- 27.4Indices: Negative exponents
- 27.5Indices: Zero exponent: $a^0 = 1$
- 27.6Indices: Rational exponents
- 27.7Combining laws of indices
- 27.8Standard form
- 27.9Convert between radicals and rational exponents
- 27.10Solving for indices
- 27.11Graphing exponential functions

- 27.1Indices: Product rule $(a^x)(a^y)=a^{(x+y)}$
##### 28Growth and Decay

##### 29Congruent Triangles

##### 30Circle Theorems

##### 31Surface Area and Volume

##### 32Trigonometry

- 32.1Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ )
- 32.2Use cosine ratio to calculate angles and sides (Cos = $\frac{a}{h}$ )
- 32.3Use tangent ratio to calculate angles and sides (Tan = $\frac{o}{a}$ )
- 32.4Combination of SohCahToa questions
- 32.5Solving expressions using 45-45-90 special right triangles
- 32.6Solving expressions using 30-60-90 special right triangles
- 32.7Word problems relating ladder in trigonometry
- 32.8Word problems relating guy wire in trigonometry
- 32.9Other word problems relating angles in trigonometry

- 32.1Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ )
##### 33Sine Rule and Cosine Rule

##### 34Graphing Trigonometric Functions

##### 35Bearings

##### 36Vectors

##### 37Set Theory

##### 38Probability

##### 39Statistics

##### 40Data and Graphs

- 40.1Reading and drawing bar graphs
- 40.2Reading and drawing histograms
- 40.3Reading and drawing line graphs
- 40.4Box-and-whisker plots and scatter plots
- 40.5Scatter plots and correlation
- 40.6Frequency distribution and histograms
- 40.7Frequency polygons
- 40.8Reading and drawing Venn diagrams
- 40.9Stem-and-leaf plots
- 40.10Shapes of distributions

- 40.1Reading and drawing bar graphs