# Higher Topics

### Number

Product Rule for Counting

Fractional and Negative Indices

Simplifying Surds

Recurring Decimals to Fractions

Upper and Lower Bounds (Calculations)

Rationalise the Denominator

### Algebra

Solving Quadratic Equations from Graphs

Equation of Perpendicular Lines

Equation of a Tangent to a Circle

Iteration

Factorising Quadratics (Advanced)

Quadratic nth Term

Equation of a Line Through Two Points

Simplifying Algebraic Fractions

Multiplying and Dividing Algebraic Fractions

Adding and Subtracting Algebraic Fractions

Expanding Triple Brackets

Algebraic Proof

Functions (with Composite and Inverse)

Velocity Time Graphs - Distance

Solving Quadratic Equations (Factorise and Quadratic Formula)

Completing the Square

Linear and Quadratic Simultaneous Equations

Fractional and Negative Indices

Quadratic Inequalities

Graphical Inequalities

Transforming Graphs

Sketching Graphs of 1/x, x^3, a^x

Geometric Progressions (Advanced)

### Ratio and Proportion

Velocity Time Graphs - Acceleration

Geometric Progressions (Advanced)

### Geometry and Measures

Pythagoras in 3D

Trigonometry in 3D

Sine Rule

Cosine Rule

Area of a Triangle (Sine Method)

Arc Length and Area of a Sector

Similar Shapes (Area and Volume)

Enlargement (Negative Scale Factor)

Circle Theorems

Vector Proof

### Probability

Probability Tree Diagrams (Conditional Probability)

Venn Diagrams (Advanced)

### Statistics

Quartiles and Box Plots

Cumulative Frequency Diagrams

Histograms (Drawing)

Histograms (Interpreting)