Further Maths 1
Polynomial division, surds, algebraic fractions, Factor Theorem
These worksheets are for my Further Maths group to use.
Polynomial division, surds, algebraic fractions, Factor Theorem
Factor Theorem, graphs of a function, derivatives, gradient, Simplifying surds, simultaneous equations, cosine rule, product rule for counting, expanding and simplifying and Pythagoras' Theorem
Completing the square, factorising, quadratic formula, graphs, derivatives, product rule for counting and formulating equations.
Probability sample space diagrams, circle theorem, inequalities, differentiation, two way tables, formulating equations, simultaneous equations.
Proof, circle theorems, Pythagoras' Theorem, Area of a triangle
Functions, 3D geometry problems, graphs, circle theorems, Pythagoras Theorem, Surds
Geometric Proofs and Factorising quartic equations.
Practice of the same work in FM7
Preparation work for summer school. Have a go at these before next week please. Don't worry if you get stuck. We'll go over them and see if we can extend the subject more each time.
Preparation work for summer school. Solutions for the Surds questions
Preparation work for summer school. Solutions for the Functions questions
Preparation work for summer school. Solutions for the Product Rule for Counting questions
Exercise on Indices
Questions for in class and revision
Answers for in class and revision
Work on circle theorems, proofs, geometric reasoning, circle equations lines
Practice Questions for Revision of Further Maths
A video to help with Q1 and increasing percentages
A video on finding the intercepts in a straight line graph
Q7 Piecemeal or Hybrid Graphs
A video to help with finding the inverse function
A video on finding the exact trigonometric values
A video on sketching a graph of sine and cosine functions
A video on expanding quadratics with unknown quantities
A video on finding Derivatives and Differentiation
A video on matrix multiplication
A video on Count of Terms in a Quadratic Sequence below a Number
A video on Rationalising and Simplifying a Surd
A video on Changing the Subject of an Equation including Factorising
A video on Writing a Quadratic in Completed Square Form
A video on Matrices with Algebra: This version is complete and is more than 800MB in size so only download it if you are connected to a wifi network
A video on Matrices with Algebra: Use this if you are on a device with limited data.
A video on Matrices with Algebra: Use this if you are on a device with limited data.
A video on expanding a binomial including as x-squared term and a fraction
A video on using factor theorem. If substituting does not work when x=1, you need to be able to do it for x=2, x=3,x=4 and x= half as well. This video includes division of polynomials and factorising a quadratic using the grid method.
A video on using indices with an unknown quantity and using lots of knowledge to determine what that quantity is.
Answers to the revision to the further maths questions Q1 - Q66