Chapter 1 – Algebraic Expressions
Ex1A* Index Laws
Ex1B Expanding Brackets
Ex1C Factorising
Ex1D* Negative/Fractional Indices
Ex1E Surds
EX1F* Rationalising Denominators
Chapter 2 – Quadratics
Ex2A/B*Solving Quadratic Equations
Ex2C/D*Completing the Square
Ex2E Functions
Ex2F Quadratic Graphs
Ex2G Discriminant
Ex2H Modelling with Quadratics
Chapter 3 – Equations and Inequalities
Ex3A Linear Simultaneous Equations
Ex3B* Quadratic Simultaneous Equations
Ex3C Simultaneous Equations on a Graph
Ex3D Linear Inequalities
Ex3E* Quadratic Inequalities
Ex3F Inequalities on Graphs
Ex3G Inequality Regions
Chapter 4 – Graphs and Transformations
Ex4A Cubic Graphs
Ex4B Quartic Graphs
Ex4C Reciprocal Graphs
Ex4D* Points of Intersection
Ex4E Translating Graphs
Ex4F Stretching Graphs
Ex4G* Transforming Graphs
Worksheet with Video Solutions
Chapter 5 – Straight Line Graphs
Ex5A/B y=mx+c
Ex5C/D*Equations of Straight Lines
Ex5E Parallel Lines
Ex5F* Perpendicular Lines
Ex5G Length and Areas
Ex5H Modelling
Chapter 6 – Circles
Ex6A Midpoints
Ex6B Perpendiculars
Ex6C Equations of a Circle
Ex6D Intersections
Ex6E* Circles and Tangents
Ex6F Circles and Bisectors
Chapter 7 – Algebraic Methods
Ex7A Algebraic Fractions
Ex7B* Dividing Polynomials
Ex7C* Factor Theorem
Ex7D Mathematical Proofs
Ex7E Methods of Proof
* indicates extra questions available in the description of the video
Chapter 8 – Binomial Theorem
Ex8A Pascal’s Triangle
Ex8B Factorial Notation
Ex8C* Binomial Expansion
Ex8D Binomial Problems
Ex8E* Binomial Estimation
Chapter 9 – Trigonometric Ratios
Ex9A Cosine Rule
Ex9B Sine Rule
Ex9C Ambiguous Case of Sine Rule
Ex9D* Areas of Triangles
Ex9E Problems involving Triangles
Ex9F Trigonometric Graphs
Ex9G* Transforming Trigonometric Graphs
Chapter 10 – Trigonometric Identities and Equations
Ex10A Positive and Negative Angles
Ex10B Exact Trigonometric Values
Ex10C Trigonometric Identities
Ex10D* Simple Trigonometric Equations
Ex10E* Harder Trigonometric Equations
Ex10F* Trigonometric Equations and Identities
Chapter 11 – Vectors
Ex11A* Introduction to Vectors
Ex11B Representing Vectors
Ex11C Magnitude and Direction
Ex11D* Position Vectors
Ex11E Solving Geometric Problems
Ex11F Modelling with Vectors
Chapter 12 – Differentiation
Ex12A/B Gradients of Curves
Ex12C Differentiating xn
Ex12D/E* Differentiating Polynomials
Ex12F* Tangents and Normals
Ex12G Increasing and Decreasing Functions
Ex12H* Second Order Derivatives
Ex12I* Stationary Points
Ex12J Sketching Gradient Functions
Ex 12K* Modelling with Differentiation
Chapter 13 - Integration
Ex13A/B* Introduction to Integration
Ex13C* Finding Functions using Integration
Ex13D/E* Finding the Area Under the Curve
Ex13F Area Under the x-axis
Ex13G* Area Between Curves and Lines
Chapter 14 – Exponentials and Logarithms
Ex14A Exponential Functions
Ex14B y = ex
Ex14C Exponential Modelling
Ex14D Logarithms
Ex14E* Laws of Logarithms
Ex14F* Solving Equations using Logarithms
Ex14G* Working with Natural Logarithms
Ex14H Using Logarithms in Non-Linear Data
AS Maths Tutorials – Pure
