Hello, today I'll be telling you all the topics that can come in Edexcel GCSE Mathematics A (Linear) from 2010. This is because, I've seen many threads saying what topics could come up in the exam, hardest topics etc.

So, I've bought the whole student book, which covers all the topics that could appear in the exam.

Here is the list of them:

**Chapter 1: Number**
- 1.1 - Understand prime factors, LCM and HCF
- 1.2 - Understanding squares and cubes
- 1.3 - Understanding the order of operations
- 1.4 - Using a calculator
- 1.5 - Understanding the index laws.

Chapter 2: Expressions and Sequences
- 2.1 - Collecting like terms
- 2.2 - Using substituion
- 2.3 - Using the index laws
- 2.4 - Fractional and negative powers
- 2.5 - Term-to-term and postion-to-term definitions
- 2.6 - The nth term of an arithmetic sequence.

**Chapter 3: Fractions**
- 3.1 - Adding and subtracting fractions and mxied numbers
- 3.2 - Multiplying fractions and mixed numbers
- 3.3 - Dividing fracitons and mixed numbers
- 3.4 - Fraction problems

**Chapter 4: Decimals and estimation**
- 4.1 - Conversion between fractions and decimals
- 4.2 - Carrying out arithmetic using decimals
- 4.3 - Rounding and decimal places
- 4.4 - Significant figures
- 4.5 - Estimating calculations by rounding
- 4.6 - Estimating calculations involving decimals
- 4.7 - Manipulating decimals
- 4.8 - Converting recurring decimals to fractions
- 4.9 - Upper and lower bounds of accuracy
- 4.10 - Calculating the bounds of an expression

**Chapter 5: Angles and Polygons**
- 5.1 - Angle properties of parallel lines
- 5.2 - Proving the angle properties of triangles and quadrilaterals
- 5.3 - Using the angle properties of triangles and quadrilaterals
- 5.4 - Angles of elevation and depression
- 5.5 - Bearings
- 5.6 - Using angle properties to solve problems
- 5.7 - Polygons

Chapter 6: Collecting and recording data:
- 6.1 - Introduction to statistics
- 6.2 - Sampling methods
- 6.3 - Stratified samplings
- 6.4 - Collecting data by observation and experiment
- 6.5 - Questionnaires
- 6.6 - Two-way tables
- 6.7 - Sources of bias
- 6.8 - Secondary Data

Chapter 7: Measure
- 7.1 - Converting between units of measure
- 7.2 - Compound measures
- 7.3 - Speed
- 7.4 - Density

**Chapter 8: **__Congruence, symmetry and similarity__
- 8.1 - Congruent Triangles
- 8.2 - Symmetry in 2D shapes
- 8.3 - Symmetry of special shapes
- 8.4 - Recognising similar shapes
- 8.5 - Similar triangles

Chapter 9: Expanding brackets and factorising
- 9.1 - Expanding brackets
- 9.2 - Factorising by taking out common factors
- 9.3 - Expanding by the product of two brackets
- 9.4 - Factorising quadratic expressions

Chapter 10: Area and volume 1

- 10.1 - Area of triangles, parallelograms and trapeziums
- 10.2 - Problems involving perimeter and area
- 10.3 - Circumference and area of a circle
- 10.4 - Drawing 3D shapes
- 10.5 - Elevations and plans
- 10.6 - Volume of a cuboid
- 10.7 - Volume of a prism
- 10.8 - Volume of a cyclinder

**Chapter 11: Averages and range**
- 11.1 - Finding the mode and median
- 11.2 - Calculating the mean
- 11.3 - Using the three types of averages
- 11.4 - Using frequency tables to find averages
- 11.5 - Modal class and median of grouped data
- 11.6 - Estimating the mean of grouped data
- 11.7 - Range, quartiles and interquartile range

**Chapter 12: Constructions and loci**
- 12.1 - Constructing triangles
- 12.2 - Perpendicular lines
- 12.3 - Constructing and bisecting angles
- 12.4 - Loci
- 12.5 - Regions
- 12.6 - Scale drawings and maps

**Chapter 13: Linear equations**
- 13.1 - Solving simple equations
- 13.2 - Solving linear equations containing brackets
- 13.3 - Solving linear equations with the unknown on both sides
- 13.4 - Solving linear equations containing fractions
- 13.5 - Setting up and solving simple linear equations
- 13.6 - Distinguishing between 'equation', 'formula', identity' and 'expression'.

**Chapter 14: Percentages**
- 14.1 - Working out a percantage of a quantity
- 14.2 - Finding the new amount after a percentage increase or decrease
- 14.3 - Working out a percentage increase or decrease
- 14.4 - Working out compound interest
- 14.5 - Calculating reverse percentages

**Chapter 15: Graphs**
- 15.1 - Drawing straight-line graphs by plotting points
- 15.2 - Finding the midpoint of a line segment
- 15.3 - The gradient and y-intercept of a straight line
- 15.4 - The equation y = mx + c
- 15.5 - Parallel and perpendicular lines
- 15.6 - Real-life graphs

Chapter 16: Ratio and Proportion
- 16.1 - Introducing ratio
- 16.2 - Solving ratio problems
- 16.3 - Sharing a quantity in a given ratio
- 16.4 - Using direct proportion
- 16.5 - Using inverse proportion

Focus on A02/3 Multiplication

Focus on A02/3 Area

Focus on A02/3 Average & Range

Focus on A02/3 Price comparisons

Focus on A02/3 Interpreting and displaying data

Focus on A02/3 Probability

Focus on A02/3 Trigonometry

Functional skills - Climbing Snowdon

Functional skills - Music sales

Functional skills - Communication

Functional skills - Energy efficiency

Functional skills - Going on holiday

Functional skills - All at sea

**Chapter 17: Transformations**
- 17.1 - Using translations
- 17.2 - Transforming shapes using reflections
- 17.3 - Transforming shapes using rotations
- 17.4 - Enlargements and scale factors
- 17.5 - Combinations of transformations

Chapter 18: Processing, representing and interpreting data
- 18.1 - Producing pie charts
- 18.2 - Interpreting pie charts
- 18.3 - Representing and interpreting data in a stem and leaf diagram
- 18.4 - Interpreting comparative and composite bar charts
- 18.5 - Drawing and interpreting frequency diagrams and histograms
- 18.6 - Drawing and using frequency polygons
- 18.7 - Drawing and using histograms with unequal class intervals
- 18.8 - Drawing and using cumulative frequency graphs
- 18.9 - Finding quartiles from a cumulative frequency
- 18.10 - Drawing and interpreting box plots

Chapter 19: Inequalities and formula
- 19.1 - Representing inequalities on a number line
- 19.2 - Solving simple linear inequalities in one variable
- 19.3 - Finding integer solutions to inequalities in one variable
- 19.4 - Solving graphically several linear inequalities in two variables
- 19.5 - Using formulae
- 19.6 - Deriving an algebraic formula
- 19.7 - Changing the subject of a formula
- 19.8 - Changing the subject in complex formulae

Chapter 20: Pythagoras' theorem and trigonometry 1
- 20.1 - Pythagoras' Theorem
- 20.2 - Applying Pythagoras' Theorem
- 20.3 - Finding the length of a line segment
- 20.4 - Trigonometry in right-angled triangles
- 20.5 - Working out lengths of sides using trigonometry

**Chapter 21: More graphs and equations**
- 21.1 - Graphs of quadratic functions
- 21.2 - Graphs of cubic functions
- 21.3 - Graphs of reciprocal functions
- 21.4 - Graphs of exponential functions
- 21.5 - Solving equations by trial and improvement method

Chapter 22: Quadratic and simultaneous equations
- 22.1 - Solving simultaneous equations
- 22.2 - Setting up equations in two unknowns
- 22.3 - Using graphs to solve simultaneous equations
- 22.4 - Solving quadractic equations by factorisation
- 22.5 - Completing the square
- 22.6 - Solving quadratic equations by completing the square
- 22.7 - Solving quadratic equations using the formula
- 22.8 - Solving algebraic fraction equations leading to quadratic equations
- 22.9 - Setting up and solving quadratic equations
- 22.10 - Constructing graphs of simple loci
- 22.11 - Solving simultaneous equations when one is linear and the other is quadratic
- 22.12 - Solving simultaneous equations when one is linear and one is a circle

**Chapter 23: Area and volume 2**
- 23.1 - Sector of circles
- 23.2 - Problems involving circles in terms of n
- 23.3 - Units of area
- 23.4 - Volume of a pyramid and a cone
- 23.5 - Volume of a sphere
- 23.6 - Further volumes of a shapes
- 23.7 - Units of volume
- 23.8 - Surface area of a prism
- 23.9 - Further surface area of shapes
- 23.10 - Coordinates in three dimensions

Chapter 24: Line diagrams and scatter graphs
- 24.1 - Drawing and using line graphs
- 24.2 - Drawing and using scatter graphs
- 24.3 - Recognising correlation
- 23.4 - Drawing lines of best fit
- 23.5 - Using lines of best fit to make predictions

**Chapter 25: Indices, standard forms and surds**
- 25.1 - Using zero and negative powers
- 25.2 - Using standard form
- 25.3 - Working with fractional indices
- 25.4 - Using surds

Chapter 26: Similar shapes
- 26.1 - Area of similar shapes
- 26.2 - Volumes of similar shapes
- 26.3 - Lengths, areas and volumes of similar shapes

**Chapter 27: Proportion 2**
- 27.1 - Direct proportion
- 27.2 - Further direct proportion
- 27.3 - Writing statements of proportionality and formulae
- 27.4 - Problems involving square and cubic proportionality
- 27.5 - Problems involving inverse proportion

**Chapter 28: Probability**
- 28.1 - Writing probabilities as numbers
- 28.2 - Mutually exclusive outcomes
- 28.3 - Estimating probability from relative frequency
- 28.4 - Finding the expected number of outcomes
- 28.5 - Independent events
- 28.6 - Probability tree diagrams
- 28.7 - Conditional probability

**Chapter 29: Pythagoras' Theorem and trigonometry 2**
- 29.1 - Pythagoras' Theorem and trigonometry in three dimensions
- 29.2 - Angle between a line and a plane
- 29.3 - Trigonometric ratios for any angle
- 29.4 - Finding the area of a triangle using 1/2 a bsin C
- 29.5 - The sine rule
- 29.6 - Using the sine rule to calculate an angle
- 29.7 - The cosine rule
- 29.8 - Using the cosine rule to calculate an angle
- 29.9 - Using trigonometry to solve problems

Chapter 30: Transformations of functions
- 30.1 - Using function notation
- 30.2 - Translation of a curve parallel to the axes
- 30.3 - Stretching a curve parallel to the axes
- 30.4 - Rotation about the origin and reflection in the axes

Chapter 31: Circle geometry
- 31.1 - Isoceles triangle in a circle
- 31.2 - Tangents to a circle
- 31.3 - Circle theorems
- 31.4 - More circle theorems

Chapter 32: Algebraic fractions and algebraic proof:
- 32.1 - Simplifying algebraic fractions
- 32.2 - Adding and subtracting algebraic fractions
- 32.3 - Multiplying and dividing algebraic fractions
- 32.4 - Algebraic proof

**Chapter 33: Vectors**
- 33.1 - Vectors and vector notation
- 33.2 - The magnitude of a vector
- 33.3 - Addition of vectors
- 33.4 - Parallel vectors
- 33.5 - Solving geometric problems in two dimensions

Remember guys, I'm writing all this up for your benefit in my spare time, it has took me 2 hours - 3 hours to write all this up reading each part carefully. Reason why I'm telling you this is because the specification of edexcel rounds everything up in 30 pages, it doesn't give detail. It just tells you to learn some stuff e.g. trigonometric functions, use a calculator effectively, not detailed stuff like sometimes when you have to use cos in a equation on a calculator. Also, this is in order of how you should learn it, that specification is in random order. For example, you need to learn factorising for quadratics.

I will be posting other threads soon, regarding other subjects, but instead of specifications just questions to revise for, first normal, the gcse style

.