GCSE Exam Specifications

YEAR 10 Monday   YEAR 11 Monday   YEAR 10 Wednesday   YEAR 11 Wednesday

EDEXCEL, AQA & OCR A

NUMBER

Types of Number and BODMAS


Prime Numbers 0101

Multiples, Factors and Prime Factors 0101

LCH and HCF 0101

Fractions 1

Fraction, Decimal and Percentages 10

Fraction and Recurring Decimals 0101

Rounding Numbers 0101

Estimating

Bounds 0101

Standard Form 0101

ALGEBRA

Equations 011

Golden Rule of Algebra 0101

Like Terms 0101

Term Algebra 0101

Factor Algebra 0101

Powers and Roots 0101

Multiplying Out Brackets 0101

Algebraic Fractions 001

Factorising 001

Manipulating Surds 001

Solving Equations

Rearranging Formulas

Factorising Quadratics 00

The Quadratic Formula 001

Completing the Square 001

Sequences 001

Inequalities 001

Graphical Inequalities 001

Iterative Methods

Simultaneous Equations 0

Proof

Functions 0


GRAPHS

Straights Lines and Gradients 0011

y = mx + c 0011

Drawing Straight Line Graphs 001

Coordinates and Ratio

Parallel and Perpendicular Lines

Quadratic Graphs 0

Solving Equations Using Graphs

Graph Transformations 00

Time

Distance - Time Graphs

Velocity - Time Graphs

Graph Sketching 0


CALCULUS


RATIO, PROPORTION AND RATES OF CHANGE

Ratio

Direct and Inverse Proportion 0101

Compound Growth and Decay 001

Unit Conversions 001

Speed, Density and Pressure 0

GEOMETRY AND MEASURES


Geometry

Parallel Lines 00

Geometry Problems

Polygons 001

Symmetry 00

Triangles and Quadrilaterals 00

Circle Geometry 00

Congruent Shapes 001

Similar Shapes 001

The Four Transformations 001

Area - Triangles and Quadrilaterals

Area - Circles

3D Shapes - Surface Area

3D Shapes - Volume

Enlargements - Length, Area and Volume 00

Projections


Triangle Construction

Loci and Construction

Bearings

PYTHAGORAS AND TRIGONOMETRY

Pythagoras' Theorem 0011

Trigonometry - Sin, Cos and Tan 0011

Trigonometry - Common Values 001

The Sine and Cosine Rules 001

3D Pythagoras 0

3D Trigonometry

Vectors 0


PROBABILITY AND STATISTICS

Probability Basics 0011

Counting Outcomes 0011

Probability Experiments

The AND/OR Rules 0011

Tree Diagrams 0011

Conditional Probability 001

Set and Venn Diagrams 0

Sampling and Data Collection

Mean, Median, Mode and Range 0011

Frequency Tables 0011

Grouped Frequency Tables 0011

Box Plots 0011


Cumulative Frequency 0011

Histograms and Frequency Density 0011

Scatter Graphs

Other Graphs and Charts

Comparing Data Sets

EDEXCEL INTERNATIONAL

NUMBER

Types of Number and BODMAS

Calculator Buttons

Prime Numbers 0101

Multiples, Factors and Prime Factors 0101

LCH and HCF 0101

Fractions 1

Fraction, Decimal and Percentages 10

Fraction and Recurring Decimals 0101

Rounding Numbers 0101

Estimating

Bounds 0101

Standard Form 0101

ALGEBRA

Equations 011

Golden Rule of Algebra 0101

Like Terms 0101

Term Algebra 0101

Factor Algebra 0101

Powers and Roots 0101

Multiplying Out Brackets 0101

Algebraic Fractions 001

Factorising 001

Manipulating Surds 001

Solving Equations

Rearranging Formulas

Factorising Quadratics 00

The Quadratic Formula 001

Completing the Square 001

Sequences 001

Inequalities 001

Graphical Inequalities 001


Simultaneous Equations 0

Proof

Functions 0


GRAPHS

Straights Lines and Gradients 0011

y = mx + c 0011

Drawing Straight Line Graphs 001

Coordinates and Ratio

Parallel and Perpendicular Lines

Quadratic Graphs 0


Graph Transformations 00

Time

Distance - Time Graphs

Velocity - Time Graphs

Graph Sketching 0


CALCULUS

Differentiation

RATIO, PROPORTION AND RATES OF CHANGE

Ratio

Direct and Inverse Proportion 0101

Compound Growth and Decay 001

Unit Conversions 001

Speed, Density and Pressure 0

GEOMETRY AND MEASURES

Maps and Scale Drawing

Geometry

Parallel Lines 00

Geometry Problems

Polygons 001

Symmetry 00

Triangles and Quadrilaterals 00

Circle Geometry 00

Congruent Shapes 001

Similar Shapes 001

The Four Transformations 001

Area - Triangles and Quadrilaterals

Area - Circles

3D Shapes - Surface Area

3D Shapes - Volume

Enlargements - Length, Area and Volume 00


Nets

Triangle Construction

Loci and Construction

Bearings

PYTHAGORAS AND TRIGONOMETRY

Pythagoras' Theorem 0011

Trigonometry - Sin, Cos and Tan 0011


The Sine and Cosine Rules 001

3D Pythagoras 0

3D Trigonometry

Vectors 0

Sin, Cos and Tan for Larger Angles

PROBABILITY AND STATISTICS

Probability Basics 0011

Counting Outcomes 0011

Probability Experiments

The AND/OR Rules 0011

Tree Diagrams 0011

Conditional Probability 001

Set and Venn Diagrams 0

Sampling and Data Collection

Mean, Median, Mode and Range 0011

Frequency Tables 0011

Grouped Frequency Tables 0011



Cumulative Frequency 0011

Histograms and Frequency Density 0011


Other Graphs and Charts

Comparing Data Sets

CAMBRIDGE INTERNATIONAL

NUMBER

Types of Number and BODMAS

Calculator Buttons

Prime Numbers

Multiples, Factors and Prime Factors

LCH and HCF

Fractions

Fraction, Decimal and Percentages

Fraction and Recurring Decimals

Rounding Numbers


Bounds

Standard Form

ALGEBRA

Equations

Golden Rule of Algebra

Like Terms

Term Algebra

Factor Algebra

Powers and Roots

Multiplying Out Brackets

Algebraic Fractions

Factorising


Solving Equations

Rearranging Formulas

Factorising Quadratics

The Quadratic Formula

Completing the Square

Sequences

Inequalities

Graphical Inequalities


Simultaneous Equations


Functions

Algebraic Proportion

GRAPHS

Straights Lines and Gradients

y = mx + c

Drawing Straight Line Graphs

Coordinates and Ratio

Parallel and Perpendicular Lines

Quadratic Graphs

Solving Equations Using Graphs


Time

Distance - Time Graphs

Velocity - Time Graphs


Trig Graphs

CALCULUS

Differentiation

RATIO, PROPORTION AND RATES OF CHANGE

Ratio

Direct and Inverse Proportion

Compound Growth and Decay

Unit Conversions

Speed, Density and Pressure

GEOMETRY AND MEASURES


Geometry

Parallel Lines

Geometry Problems

Polygons

Symmetry


Circle Geometry

Congruent Shapes

Similar Shapes

The Four Transformations

Area - Triangles and Quadrilaterals

Area - Circles

3D Shapes - Surface Area

3D Shapes - Volume

Enlargements - Length, Area and Volume


Nets

Triangle Construction


Bearings

PYTHAGORAS AND TRIGONOMETRY

Pythagoras' Theorem

Trigonometry - Sin, Cos and Tan


The Sine and Cosine Rules

3D Pythagoras

3D Trigonometry

Vectors

Sin, Cos and Tan for Larger Angles

PROBABILITY AND STATISTICS

Probability Basics

Counting Outcomes

Probability Experiments

The AND/OR Rules

Tree Diagrams

Conditional Probability

Set and Venn Diagrams

Sampling and Data Collection

Mean, Median, Mode and Range

Frequency Tables

Grouped Frequency Tables

Box Plots

Whisker Plots

Cumulative Frequency

Histograms and Frequency Density

Scatter Graphs

Other Graphs and Charts

Comparing Data Sets

AS-Level Exam Specifications

YEAR 12   YEAR 13

EDEXCEL, AQA & OCR A

PROOF

Proof

ALGEBRA AND FUNCTIONS

Laws of Indices and Surds

Polynomials

Algebraic Division

Solving Quadratic Equations

Quadratic Functions and Graphs

The Quadratic Formula

Simultaneous Equations

Inequalities

Cubics

Graphs of Functions

Proportion

COORDINATE GEOMETRY

Linear Coordinate Geometry

Circle Geometry

SEQUENCES AND SERIES

Binomial Expansions 23

TRIGONOMETRY

Angles, Arc Length and Sector Area

Trig Formula and Identities 23

Trig Graphs 23

Solving Trig Functions 23

EXPONENTIALS AND LOGARITHMS

Exponentials and Logs 2

Using Exponentials and Logs 2

e(x) and ln(x)

Modelling with e(x) and ln(x)

DIFFERENTIATION

Differentiation 23

Stationary Points 23

Using Differentiation 23

INTEGRATION

Integrating Polynomials 2

Definite Integrals

VECTORS

Vectors

More Vectors

DATA PRESENTATION AND INTERPRETATION

Central Tendency and Variation 2

Grouped Data 2

Interquartile Range and Outliers 2

Cumulative Frequency Graphs and Box Plots 2

Coding

PROBABILITY

Random Events and Venn Diagrams 23

Tree Diagrams and Conditional Probability 23

Mutually Exclusive and Independent Events 23

STATISTICAL DISTRIBUTION

Probability Distributions 23

The Binomial Distribution 23

STATISTICAL HYPOTHESIS TESTING

Statistical Sampling

Sampling Methods

Hypothesis Tests 23

Hypothesis Test and Binomial Distributions 23

CORRELATION

Correlation

The Product Moment Correlation Coefficient

KINEMATICS

Constant Acceleration Equations

Motion Graphs

Using Calculus for Kinematics 2

FORCES AND NEWTON'S LAWS

Forces and Modelling

Newton's Laws

Connected Particles

A-Level Exam Specifications

EDEXCEL, AQA & OCR A

PROOF

Proof by Contradiction

ALGEBRA AND FUNCTIONS

Partial Fractions 3

Modulus

Composite and Inverse Functions 3

COORDINATE GEOMETRY

Parametric Equations

SEQUENCES AND SERIES

Sequences 3

Arithmetic Series 3

Geometric Series 3

Binomial Expansion as Infinite Sums 3

TRIGONOMETRY

Further Trig 3

Further Trig Identities and Approximations 3

Addition and Double Angle Formulas 3

The R Addition Formulas 3

Trig Proofs

DIFFERENTIATION

Convex and Concave Curves

Chain Rule 3

Differentiating e(x), ln(x) and a(x) 3

Differentiating sin, cos and tan 3

Product and Quotient Rules 3

Differentiation with Parametric Equations 3

Implicit Differentiation 3

INTEGRATION

Integrating e(x) and 1/x 3

Integrating Trig Functions

Integrating Using the Chain Rule Backwards 3

Parametric Integration

Integration by Substitution

Integration by Parts 3

Differential Equations

NUMERICAL METHODS

Location of Roots

Iterative Methods

Numerical Integration

VECTORS

3D Vectors

STATISTICAL DISTRIBUTION

The Normal Distribution

The Standard Normal Distribution

Normal Approximations to B(n,p)

Choosing a Distribution

STATISTICAL HYPOTHESIS TESTING

Hypothesis Tests and Normal Distributions

CORRELATION

More Correlation

KINEMATICS

Describing 2D Motion Using Vectors 3

Projectiles and Motion Under Gravity 3

FORCES AND NEWTON'S LAWS

Resolving Forces 3

Friction and Inclined Planes 3

More on Connected Particles 3

MOMENTS

Moments

Rigid Bodies and Friction

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