AS Further Maths – Core - Tutorials
Chapter 1 – Complex Numbers
Ex1A/B Imaginary and Complex Numbers
Ex1C Multiplying Complex Numbers
Ex1D Complex Conjugation
Ex1E Roots of Quadratics
Ex1F Solving Cubics and Quartics
Chapter 2 – Argand Diagrams
Ex2A Argand Diagrams
Ex2B Modulus and Argument
Ex2C Modulus-Argument Form
Ex2D Multiplying and Dividing in Mod-Arg
Form
Ex2E Loci on an Argand Diagram (part 1)
Ex2E Loci on an Argand Diagram (part 2)
Ex2F Regions on an Argand Diagram
Chapter 3 – Series
Ex3A Sums of Natural Numbers
Ex3B Sums of Squares and Cubes
Chapter 4 – Roots of Polynomials
Ex4A Roots of a Quadratic Equation
Ex4B Roots of a Cubic Equation
Ex4C Roots of a Quartic Equation
Ex4D Expressions Relating to Roots of
Polynomials
Ex4E Linear Transformations of Roots
Chapter 5 – Volumes of Revolutions
Ex5A Intro to Volumes of Revolutions
Ex5B Volumes around the y-axis
Ex5C Composite of Volumes of Revolution
Ex5D Modelling with Volumes of Revolution
Chapter 6 – Matrices
Ex6A Intro to Matrices
Ex6B Matric Multiplication
Ex6C Determinants of Matrices
Ex6D Inverting a 2x2
Ex6E Inverting a 3x3
Ex6F Solving Equations with Matrices
Ex6F Intersecting Planes
Chapter 7 – Linear Transformations
Ex7A Representing Linear Transformations
Ex7B Reflections and Rotations
Ex7C Enlargements and Stretches
Ex7D Successive Transformations
Ex7E 3D Transformations
Ex7F Inverse Transformations
Chapter 8 – Proof by Induction
Ex8A Series Proofs
Ex8B Divisibility Proofs
Ex8C Matrices Proofs
Chapter 9 – Vectors
Ex9A Intro to Vector Lines
Ex9A Cartesian Form of a Vector Line
Ex9B Vector Equation of a Plane
Ex9B Cartesian Equation of a Plane
Ex9C Dot Product Rule
Ex9D Finding the Angle Between Two Lines
Ex9D All Three Forms of a Plane
Ex9D Angle Between a Line and a Plane
Ex9D Angle Between Two Planes
Ex9E Intersection Between Two Lines
Ex9E Intersection Between a Line and a
Plane
Ex9F Shortest Distance – A Point and a Line
Ex9F Shortest Distance – Two Parallel Lines
Ex9F Shortest Distance – Two Skewed Lines
Ex9F Shortest Distance – A Point and a Plane
Ex9F Shortest Distance – A Parallel Line and
Plane
Ex9F Shortest Distance – Two Parallel Planes
Ex9F Reflecting a Point in a Line
Ex9F Reflecting a Point in a Plane
Ex9F Reflecting a Line in a Plane
AS Further Maths – Tutorials - Core
January Exam – Revision Materials
Revision Sheet 1
Revision Sheet 2
Revision Sheet 3
Revision Sheet 4
Revision Sheet 5
Revision Sheet 6
Old Spec Practice Papers
Practice Paper 2011
Practice Paper 2012
Practice Paper 2013
Practice Paper 2014
Practice Paper 2015
Practice Paper 2016
Summer Exam Revision Materials
SAM Paper
Specimen Paper
Summer Exam Past Papers
June 2018