GCSE Higher Mathematics inc Exams

Specification: AQA 8300

Section One: Number

• 1 Structure and Calculations
• 1.1 Positive and Negative Numbers
• 1.2 Place Value
• 1.3 Powers and Roots
• 1.4 Factors and Multiples
• 2 Fractions and Decimals
• 2.1 Decimals
• 2.2 Standard Form
• 2.3 Fractions
• 2.4 Fractions, Decimals and Percentages
• 3 Measures and Accuracy
• 3.1 Exact Calculations
• 3.2 Rounding and Estimation
• 3.3 Using a Calculator
• 3.4 Measures
• 3.5 Error Intervals

Section Two: Algebra

• 4 Notation, Expressions and Formulae
• 4.1 Notation and Expressions
• 4.2 Expanding and Factorising 1
• 4.3 Substitution
• 4.4 Rearranging
• 4.5 Expanding and Factorising 2
• 4.6 Functions
• 5 Graphs
• 5.1 Straight Line Graphs
• 5.2 Quadratic Graphs
• 5.3 Sketching Functions
• 5.4 Real Life Graphs
• 5.5 Areas Under Graphs
• 6 Solving Equations and Inequalities
• 6.1 Solving Linear Equations
• 6.2 Solving Quadratic Equations
• 6.3 Solving Simultaneous Equations
• 6.4 Solving Inequalities
• 6.5 Iteration
• 7 Sequences
• 7.1 Linear Sequences
• 7.2 Special Sequences
• 7.3 Quadratic Sequences

Section Three: Geometry

• 8 Properties and Construction
• 8.1 Measuring
• 8.2 Area and Perimeter
• 8.3 Angle Rules
• 8.4 Loci and Construction
• 8.5 Circles
• 8.6 3D Shapes
• 9 Transformations
• 9.1 Transformations
• 9.2 Vectors
• 10 Triangles
• 10.1 Pythagoras Theorem
• 10.2 Trigonometry
• 10.3 Further Trigonometry

Section Four: Proportion and Statistics

• 11 Ratio, Proportion and Change
• 11.1 Ratio
• 11.2 Percentages
• 11.3 Proportion
• 11.4 Congruence and Similarity
• 12 Probability
• 12.1 Probability Experiments
• 12.2 Sets
• 12.3 Tree Diagrams
• 12.4 Conditional Probability
• 13 Statistics
• 13.1 Collecting Data
• 13.2 Statistical Diagrams 1
• 13.3 Averages
• 13.4 Statistical Diagrams 2