ARITHMETIC

· Basic Arithmetic       
· The Four Basic Rules         
· Addition               
· Subtraction           
· Multiplication              
· Division           
· Fractions           
· Addition and Subtraction of Vulgar Fractions      
· Multiplication and Division of Vulgar Fractions      
· Expressing Division of Whole numbers in Terms of a Fraction  
· Cancelling and Equivalent Fractions    
· Improper Fractions        
· Mixed Fractions        
· Decimals         
· Addition and Subtraction of Decimals     
· Multiplication of Decimals       
· Multiplication by Powers of 10, 100, 1000     
· Multiplication of Decimals by Whole Numbers or Decimals  
· Division of Decimals        
· Conversion of Fractions to Decimals      
· Recurring Numbers        
· Conversion of Decimals to Fractions      
· Shortening of Numbers – Decimal Place     
· Significant Figures        
· Percentages        
· Working out percentages from the Original Number    
· Applications of Percentages       
· Simple Interest (SI)        
· Hire Purchase         
· Compound Interest (CI)       
· Ratios          
· Comparing Numbers        
· Ratios in Proportion        
· Squares of Numbers        
· Cubes of Numbers        
· Square Roots and Cube Roots of Numbers     
· Square Roots of Numbers       
· Cube Roots of Numbers       
· Indices          
· Multiplying and Dividing – Indices      
· Standard Form         
· Practical Applications of Working with Numbers    
· Estimation         
· Adding Back         
· Rounding Numbers        
· Rounding Up of Money       
· Exchange Rates        
· Upper and Lower Bounds, Accuracy of Answers and Range  
· Calculating Maximum/Minimum Answers     
· Time          
· The Metric System        
· Weight          
· Length          
· ‘Bodmas’ – Order of Working Out Problems     
· Factors          
· Highest Common Factor (HCF)      
· Multiples         
· Common Multiples and Lowest Common Multiples    
· Prime Numbers and Prime Factors      
· Prime Factors         
· Flow Charts         
· Scales          
· Inequalities         
· Definitions of Various Types of Numbers     
· Showing Inequalities on a Number Line     
· Number Sequences        
· The Arithmetic Progression (A.P.)      
· The Geometrical Progression (G.P.)      
· Fibonacci Sequences                                                                                       
· Triangular Sequences                                      
· Reading Values on Instruments and Dials (Scales)    
· Arithmetic Contents
· Surds           
· Calculations Involving Surds          
· Addition and Subtraction of Surds        
· Multiplication and Division        
· Division of Surds        
· Rationalising the Denominator      
· Simplifying Surds         
· Degree of Accuracy       

GEOMETRY

· Measurement of Angles      
· Standard Properties of Angles    
· Types of Angles         
· Exterior Angles of a Polygon      
· Interior Angles of a Polygon       
· Properties of Parallel Lines       
· Circles – Arcs and Sectors of Circles     
· Arcs          
· Sectors          
· Circle Theorems        
· Tangent Properties        
· Triangles         
· Pythagoras’ Theorem        
· Standard Triangles        
· Trigonometry         
· Standard Trigonometric Ratios      
· Sine and Cosine Rule        
· Sine Rule         
· Cosine Rule         
· Graphs of Sine, Cosine and Tangent      
· Sine Graph         
· Cosine Graph         
· Tangent Graph        
· Chords          
· 3-D Trigonometry (Solid Geometry)      
· Angle of Elevation/Depression      
· Bearings         
· Congruency and Similarity of Shapes       
· Congruency         
· Similarity         
· Symmetry         
· Tessellations         
· Constructions         
· Constructing Triangles       
· Geometrical Constructions       
· Loci          
· Geometrical Transformations       
· Reflections         
· Rotations         
· Translations         
· Enlargements         
· Matrices          
· Types of Matrices        
· Multiplication of a Matrix by a Number     
· Multiplication of a Matrix by a Matrix     
· Transformations Using Matrices      
· Vectors          
· Addition of Vectors        
· Multiplication of a Vector by a Scalar    
· Column Vectors       
· Addition of Vectors Using Column Vectors     
· Subtraction         
· Multiplication of Column Vectors by a Scalar Quantity    
· The Modulus of a Vector       
· Geometry Contents
· Area of a Triangle Using Sine Function      
· The Trigonometric Functions of Obtuse Angles     
· Shear and Stretch Transformations       
· Shear Transformations        
· Stretch Transformations       

STATISTICS & PROBABILITY

· Representation of Data         
· Ways of Representing Data            
· Block Charts           
· Drawing or Plotting Statistical Charts         
· Bar Charts           
· Proportionate Bar Charts         
· Chronological Bar Charts         
· Pictograms           
· Histograms           
· Histograms with Unequal Widths      
· Pie Charts         
· Interpreting Data from Block Charts and Pie Charts    
· Mean, Median and Mode       
· Frequency Tables        
· Cumulative Frequency       
· Sets and Venn Diagrams       
· Constructing Venn Diagrams to Solve Problems    
· Describing the Shaded Regions on Venn Diagrams    
· Probability         
· Equiprobable Probability       
· Experimental Probability       
· Expected and Observed Frequencies      
· Complement of Probability       
· Mutually Exclusive Probability      
· Independent Probability       
· Tree Diagrams         

ALGEBRA

· Heading         
· Formulae         
· Speed, Distance and Time       
· Aspects of Algebra        
· Directed Numbers       
  Addition/Subtraction         
· Multiplication/Division       
· Substitution         
· Removal of Brackets        
· Transposing Formulae       
· Numbers/Letters Added       
· Numbers/Letters Subtracted       
· Numbers/Letters Multiplied       
· Numbers/Letters Divided       
· Factorising         
· Splitting Into Pairs        
· Factorising Quadratic Expressions      
· Factorising Quadratic Equations      
· Quadratic Equations Which Will Factorise     
· Quadratic Equations Which Will Not Factorise    
· Simultaneous Equations       
· Constructing Equations       
· Solving linear Inequalities       
· Algebra Contents
· Proportion           
· Direct Proportion          
· Inverse Proportion          
· Quadratic Inequalities         
· Solving Quadratic Inequalities        
· Functions           
· The Inverse of a Function         
· Composite Functions          
· Calculating Composite Functions        
· Mapping Functions, Range and Domain       
· Mapping Functions          
· Domain and Range of Functions        
· Differentiation (Calculus)         
· The Process of Differentiation        
· Applications of Differentiation       
· Maxima and Minima         
· Differentiation Using Units         
· Constructing Equations and the nth Term of Number Sequences    
· Constructing Non-Linear Equations       
· Making Equations from Numbers by Comparison      
· The General Case of Number Sequences (nth term)      
· The Fibonacci Sequence         
· Iteration (Iterative Processes)  
· Constructing Equations from First Principles       
· Geometry Contents
· Area of a Triangle Using Sine Function      
· The Trigonometric Functions of Obtuse Angles     
· Shear and Stretch Transformations       
· Shear Transformations        
· Stretch Transformations       

SHAPE AND SPACE

· Areas       
· Squares and Rectangles       
· Parallelogram Rhombus and Triangle       
· Trapezium and Kite        
· Properties of Quadrilaterals       
· Areas of Circles        
· Areas of Shapes with Mixed Units      
· Areas of Figures Built up From Basic Shapes    
· Areas of Borders and Shaded Parts      
· Perimeters         
· Volumes         
· Prisms          
· Pyramid         
· Cone and Sphere        
· Volumes of Figures Built up From Basic Shapes    
· Volumes of Shapes with Mixed Units     
· Ratios of Areas and Volumes of Similar Shapes    
· Surface Area and Nets       

GRAPHS

· Types of Graphs       
· Co-ordinates of a Point      
· Straight Line Graphs - Plotting (Drawing)    
· Reading Values from a Graph       
· Choosing Scales for Axes on Graphs      
· Choosing the Correct Scales       
· Equations of Straight Line Graphs      
· Finding the Equation of a Straight Line Graph    
· Curved Graphs        
· Gradients of Curved Graphs       
· Distance – Time Graphs       
· Velocity – Time Graphs       
· Graphs Obtained From Experimental Data     
· Line of Best Fit and Correlation      
· Intersecting Graphs        
· Standard Graphs        
· Recognising Equations
· Graphs of Inequalities        
· Graphs of a Circle        
· Graphs Contents
· Plotting Curved Graphs (Polynomials)          
· Plotting  Asymptotic Graphs        
· General Shapes of Graphs and the Effects of Graph Shifting    
· Parallel Graphs          
· Determining the Equation of a Parallel Straight Line Graph    
· Intersecting Graphs at Right Angles to Each Other    
· Graphs and Proportion