# All our KS5 Maths resources

Here we've taken the 'more is more' approach to resources by including a list of all our Key Stage 5 teaching materials, organised alphabetically by topic. Simply click on a topic below to see all resources in that collection.

## How to access resources

If you've registered as a free member, all PDF files are available for free:
If you're a subscriber, all resources are available in adaptable and interactive formats:

Visual and algebric proofsNew!
Resource for multiple representation of proof as well as the  … read more
(0)
KS4 KS5  | Published: 12/06/2017 | From the resource collection(s): Algebra | Proof
Investigating the circleNew!
An investigation into the equation of a circle using Pythagoras'  … read more
(0)
KS4 KS5  | Published: 30/05/2017 | From the resource collection(s): Algebra | Circles | Pythagoras' theorem | Sketching curves
Sequences review sheet
A review sheet on sequences. Suitable for KS4 or as revision  … read more
(0)
KS4 KS5  | Published: 15/05/2017 | From the resource collection(s): Algebra | Number | Sequences - special types | Sequences – nth term | Sequences – term to term
Sixth form study diary
This is a resource designed to be filled in weekly by sixth form  … read more
(0)
KS5  | Published: 08/05/2017 | From the resource collection(s): Skills | Revision
Introduction to measure.
Introduction to Measure These worksheets were written and used  … read more
(0)
KS3 KS4 KS5  | Published: 02/05/2017 | From the resource collection(s): Geometry and measure | Measuring lengths
Vectors in mechanics
A worksheet looking at motion in two dimensions under constant  … read more
(0)
KS5 | Mechanics | Published: 24/04/2017 | From the resource collection(s): Vectors
Using the equation of motion, F = ma
A worksheet containing a variety of questions on Newton's second  … read more
(0)
KS5 | MechanicsPublished: 24/04/2017 |
Discussion points in mechanics
A powerpoint presentation on discussion points in mechanics.  … read more
(0)
KS5 | MechanicsPublished: 18/04/2017 |
Forces in mechanics
A very useful worksheet on forces on a block on smooth and rough  … read more
(0)
KS5 | MechanicsPublished: 10/04/2017 |
Slider for multiplying and dividing by powers of ten
A useful slider for multiplying and dividing by 10. Could be  … read more
(0)
KS3 KS4 KS5  | Published: 03/04/2017 | From the resource collection(s): Number | Decimals
Scale drawing
Practice at functional skills examination questions on scale  … read more
(0)
KS5  | Published: 27/03/2017 | From the resource collection(s): Geometry and measure | Maths in context | Measuring lengths
Connect 4 - decimal multiplication
This resource was designed for use with level 1 and level 2 functional  … read more
(0)
KS3 KS4 KS5  | Published: 20/03/2017 | From the resource collection(s): Number | Basic numeracy | Decimals | Multiplication and division
Simultaneous equations - linear and quadratic
A presentation of a basic introduction to simultanous equations  … read more
(0) (1)
KS5  | Published: 13/03/2017 | From the resource collection(s): Algebra | Simultaneous equations
Cutting shapes - practice examination questions
Practice at functional skills examination questions on cutting  … read more
(0)
KS5  | Published: 06/03/2017 | From the resource collection(s): Number | Basic numeracy
Implicit differentiation
An investigative introduction to implicit differentiation. A  … read more
(0)
KS5  | Published: 20/02/2017 | From the resource collection(s): Algebra | Differentiation
Rules for transforming graphs
A useful resource sheet on transformations of graphs. suitable  … read more
(0)
KS4 KS5  | Published: 20/02/2017 | From the resource collection(s): Algebra | Geometry and measure | Transformations of functions
AS algebra introduction
A presentation outlining and revising basic algebra for AS students.  … read more
(0)
KS4 KS5  | Published: 13/02/2017 | From the resource collection(s): Algebra | Factorising polynomials | Quadratics – factorising and expanding
Expanding more than two brackets
This is a resource for the new GCSE Maths specification, on the  … read more
(0) (1)
KS4 KS5  | Published: 09/01/2017 | From the resource collection(s): Algebra | Expanding brackets
Collecting and interpreting real life data
This resource could be used with all 3 Key stages at secondary  … read more
(1)
KS3 KS4 KS5  | Published: 19/12/2016 | From the resource collection(s): Statistics | Data collection and sampling
Functions
An outline of the basic ideas of functions. Suitable for KS4  … read more
(0) (1)
KS4 KS5  | Published: 14/11/2016 | From the resource collection(s): Algebra | Functions
Shopping spree activity
A game exploring functional mathematics. The teacher notes explain  … read more
(0)
KS4 KS5  | Published: 07/11/2016 | From the resource collection(s): Number | Maths in context | Percentages – simple percentages
Expanding triple brackets
Worksheet and accompanying powerpoint on expanding triple brackets.  … read more
(0)
KS4 KS5  | Published: 17/10/2016 | From the resource collection(s): Algebra | Expanding brackets
Recurring decimals and mathematical patterns – An investigation
A nice investigation into some properties of recurring decimals.  … read more
(1)
KS4 KS5  | Published: 19/09/2016 | From the resource collection(s): Algebra | Number | Fractions/decimals/percentages
Approximations for pi
A few approximations for pi. Would make a nice poster.  … read more
(0)
KS4 KS5  | Published: 12/09/2016 | From the resource collection(s): Number
A proof of Pythagoras' Theorem
A short proof of Pythagoras' Theorem using trigonometry with  … read more
(0)
KS4 KS5  | Published: 12/09/2016 | From the resource collection(s): Geometry and measure | Pythagoras' theorem | Trigonometry or Pythagoras? | Trigonometry – triangles and diagrams
A worksheet on the nth term and term-to-term rule of sequences
The worksheet begins with substitution into an nth term to generate  … read more
(1) (3)
KS4 KS5  | Published: 25/08/2016 | From the resource collection(s): Algebra | Number | Sequences – nth term | Sequences – term to term
Examination technique in mathematics
Useful tips on exam technique  … read more
(2)
KS3 KS4 KS5  | Published: 09/08/2016 | From the resource collection(s): Posters and displays
Pythagoras' theorem and trigonometry
A pictorial explanation of Pythagoras leading to the 3 related  … read more
(0)
KS5 | Areas | Published: 11/07/2016 | From the resource collection(s): Geometry and measure | Trigonometry or Pythagoras? | Trigonometry – trigonometric identities
AS core revision. No hints are given and so students need to  … read more
(3)
KS5 | Type of resource | Published: 11/07/2016 | From the resource collection(s): Revision
Differentiation for AS and A2 mathematics
A useful summary of important derivatives and differentiation  … read more
(0)
KS5  | Published: 04/07/2016 | From the resource collection(s): Differentiation
A clear explanation of the two algorithms for factorising quadratic  … read more
(1) (1)
KS4 KS5  | Published: 04/07/2016 | From the resource collection(s): Algebra | Quadratics – factorising and expanding
Calculus and graphs
An exercise on differentation and integration involving matching  … read more
(0)
KS5  | Published: 04/07/2016 | From the resource collection(s): Differentiation | Integration
An investigation into the way that a, b and c alter the roots  … read more
(0)
KS5  | Published: 21/06/2016 | From the resource collection(s): Algebra | Quadratics – the quadratic equation
Coordinate geometry - straight lines
A logic puzzle that consolidates most topics in C1 coordinate  … read more
(1)
KS5  | Published: 16/05/2016 | From the resource collection(s): Core | Schemes | Coordinate geometry
Arithmetic of surds
Practise manipulating and comparing surds with these 12 questions.  … read more
(3)
KS4 KS5  | Published: 25/04/2016 | From the resource collection(s): Core | Number | Surds
Division of complex numbers
Consolidate the division of complex numbers. This fabulous looking  … read more
(0)
KS5  | Published: 18/04/2016 | From the resource collection(s): Core | Complex numbers
Investigating convergence
(0)
KS5  | Published: 18/02/2016 | From the resource collection(s): Core | Rich tasks
The number 1
A series of four slides designed to stimulate discussion about  … read more
(0)
KS3 KS4 KS5  | Published: 11/02/2016 | From the resource collection(s): Core | Number | Types of numbers
Investigating a special number
This activity links the number e to certain aspects of financial  … read more
(0)
KS5  | Published: 11/02/2016 | From the resource collection(s): Core | Percentages – compound percentages | The number e
Patterns in probability
A comprehensive resource which investigates the probability of  … read more
(0)
KS4 KS5  | Published: 11/02/2016 | From the resource collection(s): Probability | Statistics & Probability | Theoretical probability
Winchester investigation
This resource works equally well for GCSE or AS level. It can  … read more
(0)
KS4 KS5  | Published: 05/02/2016 | From the resource collection(s): Probability | Statistics & Probability | Experimental probability | Rich tasks | Theoretical probability
A special matrix
A comprehensive and versatile resource, reinforcing skills of  … read more
(2)
KS5  | Published: 29/01/2016 | From the resource collection(s): Core | Matrices
Sketching functions and transformations
A revision activity to help GCSE students remember the transformations  … read more
(1)
KS4 KS5  | Published: 29/01/2016 | From the resource collection(s): Algebra | Transformations of functions
Treasure hunt - template
This PowerPoint resource is intended as a template for you to  … read more
(2) (1)
KS3 KS4 KS5  | Published: 18/12/2015 | From the resource collection(s): Revision | Revision cards
Starter for 10 - template
(2)
KS3 KS4 KS5  | Published: 18/12/2015 | From the resource collection(s): Revision | Revision cards
Addition and multiplication of complex numbers
(0)
KS5  | Published: 20/11/2015 | From the resource collection(s): Core | Complex numbers
Kinematics in one dimension
This resource is a very clear, concise introduction to using  … read more
(2) (1)
KS4 KS5 | Mechanics | Published: 09/10/2015 | From the resource collection(s): Algebra | Kinematics in one dimension | Substitution
Integration
Can be used as a recap of integration or an introductory ove  … read more
(1)
KS5  | Published: 13/08/2015 | From the resource collection(s): Core | Integration
Algebra and functions
PowerPoint presentation on simplifying algebraic fractions, dividing  … read more
(1)
KS5  | Published: 13/08/2015 | From the resource collection(s): Core | Algebraic fractions | Factor theorem
Coordinate geometry: straight line formulae and equations
(0)
KS4 KS5  | Published: 17/07/2015 | From the resource collection(s): Algebra | Linear graphs – plotting and sketching
(0)
KS4 KS5  | Published: 10/07/2015 | From the resource collection(s): Algebra | Inequalities
(0)
KS4 KS5  | Published: 03/07/2015 | From the resource collection(s): Algebra | Core | Non-linear graphs – quadratics and cubics | Quadratics – the quadratic equation
Understanding trigonometry
A student-led investigation to understand how to work out trig  … read more
(4)
KS4 KS5  | Published: 05/06/2015 | From the resource collection(s): Core | Geometry and measure | Constructions | Trigonometry – SOHCAHTOA
Calculus on the calculator
Linking the functions on the calculator to useful calculus. Copy  … read more
(2)
KS5  | Published: 22/05/2015 | From the resource collection(s): Core | Differentiation | Integration
The Flower of Life
Students see how to create the circle arrangement known as the  … read more
(3)
KS4 KS5  | Published: 15/05/2015 | From the resource collection(s): Core | Geometry and measure | Rich tasks
Origami trays
Fold a tray from paper then manipulate the design to create different  … read more
(2)
KS4 KS5  | Published: 15/05/2015 | From the resource collection(s): Geometry and measure | Rich tasks | Solids and nets – identifying 3D shapes
Useful integrals
Integration 'cheat sheet' for A level C3 and C4. Covers all types  … read more
(0)
KS5  | Published: 01/05/2015 | From the resource collection(s): Core | Integration
Shrinking circles
An investigation on polygons: making use of formulae, trigonometry,  … read more
(3)
KS5  | Published: 16/04/2015 | From the resource collection(s): Core | Rich tasks
Probability inequalities: from words to numbers
(1)
KS5  | Published: 09/04/2015 | From the resource collection(s): Statistics & Probability | Binomial probability distribution | Geometric probability distribution
Introduction to the Geometric Probability Distribution
A PowerPoint introduction to the geometric probability distribution.  … read more
(2)
KS5  | Published: 09/04/2015 | From the resource collection(s): Statistics & Probability | Geometric probability distribution
Matching quadratic and cubic curves to equations
This resource has two tasks. The first requires students to re-write  … read more
(3)
KS4 KS5  | Published: 02/04/2015 | From the resource collection(s): Algebra | Core | Non-linear graphs – quadratics and cubics
Graph transformations
Each of the transformations required for AS Core Maths and to  … read more
(2)
KS5  | Published: 19/03/2015 | From the resource collection(s): Algebra | Core | Transformations of functions
Function transformations
Ten slides on transforming curves. Includes translations and  … read more
(5) (1)
KS4 KS5  | Published: 19/03/2015 | From the resource collection(s): Algebra | Core | Transformations of functions
Introduction to the binomial probability distribution
Introducing students to the binomial distribution from first  … read more
(1)
KS5  | Published: 06/03/2015 | From the resource collection(s): Statistics & Probability | Binomial probability distribution
A detailed PowerPoint that with the aim of demonstrating how  … read more
(0)
KS4 KS5  | Published: 27/02/2015 | From the resource collection(s): Algebra | Quadratics – factorising and expanding
Integrating trigonometric functions
An activity designed to help students understand that there is  … read more
(2)
KS5  | Published: 20/02/2015 | From the resource collection(s): Core | Integration
An activity to practise the addition of vectors. If the solutions  … read more
(2)
KS4 KS5  | Published: 30/01/2015 | From the resource collection(s): Core | Geometry and measure | Vectors
Pairs of lines
Two lesson starters on the equation of a straight line and perpendicular  … read more
(3)
KS4 KS5  | Published: 16/01/2015 | From the resource collection(s): Algebra | Linear graphs – finding the equation of a line
Cubic battleships
A version of battleships that requires students to use the factor  … read more
(2)
KS5  | Published: 19/12/2014 | From the resource collection(s): Core | Cubic equations - factorising | Factor theorem
Two sets of cards. The first set of 36 cards contains BIDMAS  … read more
(5)
KS3 KS4 KS5  | Published: 31/10/2014 | From the resource collection(s): Order of operations (BIDMAS) | Revision | Revision cards
Trigonometric identities
There are three groups of equivalent trigonometrical identities  … read more
(3)
KS5  | Published: 19/09/2014 | From the resource collection(s): Core | Trigonometry – trigonometric identities
The number of the week
Each of these PowerPoint slides contains interesting facts about  … read more
(6) (4)
KS4 KS5  | Published: 12/09/2014 | From the resource collection(s): Number | Posters and displays
Introducing geometric sequences and series
Learn how to calculate terms and sum to the nth term in this  … read more
(1)
KS5  | Published: 07/02/2014 | From the resource collection(s): Core | Progressions – geometric
A comprehensive PowerPoint giving clear definitions, diagrams,  … read more
(3)
KS5  | Published: 24/01/2014 | From the resource collection(s): Core | Radians
Grouping composite and inverse functions
Given three functions, evaluate the composite and inverse functions  … read more
(3)
KS5  | Published: 06/09/2013 | From the resource collection(s): Core | Composite functions
Negative and fractional indices treasure hunt
This resource combines a treasure hunt with a code breaking activity  … read more
(8) (5)
KS4 KS5  | Published: 30/08/2013 | From the resource collection(s): Core | Number | Dominoes, loop cards and treasure hunts | Indices
Getting to know the quadratic function
(1)
KS5  | Published: 21/06/2013 | From the resource collection(s): Core | Non-linear graphs – quadratics and cubics
The shape of the quadratic function
Determine the overall shape of a graph – if it's possible! –  … read more
(3) (1)
KS5  | Published: 14/06/2013 | From the resource collection(s): Core | Non-linear graphs – quadratics and cubics
Matching graph sketches
Match each equation to a sketch of its graph, by looking at the  … read more
(2)
KS5  | Published: 14/06/2013 | From the resource collection(s): Core | Non-linear graphs – natural exponents and logarithms
Distance/acceleration dominoes
Match the expressions for distance and acceleration by differentiating  … read more
(0)
KS5  | Published: 31/05/2013 | From the resource collection(s): Core | Differentiation | Dominoes, loop cards and treasure hunts
Basic differentiation Snap
Practise differentiating simple polynomials with a game of snap  … read more
(1)
KS5  | Published: 24/05/2013 | From the resource collection(s): Core | Differentiation
Geometry extensions – Pick and mix revision cards
22 revision cards giving A* grade and extension Geometry questions,  … read more
(2)
KS4 KS5  | Published: 17/05/2013 | From the resource collection(s): Geometry and measure | Revision | Revision cards
Logarithm dominoes – in terms of log(2)
Create a domino loop by matching equivalent logs – use the product,  … read more
(0)
KS5  | Published: 10/05/2013 | From the resource collection(s): Core | Dominoes, loop cards and treasure hunts | Logarithms
Data collection and sampling – Pick and mix revision cards
32 question cards based on the Statistics GCSE course, including  … read more
(4)
KS4 KS5  | Published: 10/05/2013 | From the resource collection(s): Statistics | Revision | Revision cards
Displaying data – Pick and mix revision cards
38 question cards based on the Statistics GCSE (easily adapted  … read more
(6)
KS4 KS5  | Published: 03/05/2013 | From the resource collection(s): Statistics | Statistics & Probability | Revision | Revision cards
Pick and mix revision ideas
Teaching notes to accompany the Pick and mix revision cards,  … read more
(4) (2)
KS4 KS5  | Published: 03/05/2013 | From the resource collection(s): Statistics | Statistics & Probability | Revision | Revision cards
Data analysis – Pick and mix revision cards
48 question cards based on the Statistics GCSE course (easily  … read more
(3)
KS4 KS5  | Published: 26/04/2013 | From the resource collection(s): Statistics | Statistics & Probability | Revision | Revision cards
Logarithm dominoes – simplifying logs
Create a domino chain by simplifying logarithms, tackling product,  … read more
(1)
KS5  | Published: 26/04/2013 | From the resource collection(s): Core | Dominoes, loop cards and treasure hunts | Logarithms
Logarithm dominoes – what's the argument?
Create a continuous domino loop by finding the argument when  … read more
(0)
KS5  | Published: 19/04/2013 | From the resource collection(s): Core | Dominoes, loop cards and treasure hunts | Logarithms
Logarithm dominoes – what's the base?
Match the correct base to each given log, creating a domino chain.  … read more
(0)
KS5  | Published: 19/04/2013 | From the resource collection(s): Core | Dominoes, loop cards and treasure hunts | Logarithms
Logarithm dominoes – evaluating logs
Match the equivalent expressions using the basic logarithm definition.  … read more
(1)
KS5  | Published: 19/04/2013 | From the resource collection(s): Core | Dominoes, loop cards and treasure hunts | Logarithms
Factor theorem recap
Match each equation with its factor using the factor theorem,  … read more
(0)
KS5  | Published: 22/02/2013 | From the resource collection(s): Core | Factor theorem
Integration dominoes – simple polynomials
Integrate each polynomial to create a continuous loop of dominoes.  … read more
(0)
KS5  | Published: 14/02/2013 | From the resource collection(s): Core | Dominoes, loop cards and treasure hunts | Integration
Differentiation dominoes 3 – chain, product and quotient rules
Differentiate each expression to create a continuous loop of  … read more
(0)
KS5  | Published: 01/02/2013 | From the resource collection(s): Core | Differentiation | Dominoes, loop cards and treasure hunts
Differentiation Dominoes 2 – factorised quadratics
(0)
KS5  | Published: 11/01/2013 | From the resource collection(s): Core | Differentiation | Dominoes, loop cards and treasure hunts
Differentiation Dominoes 1 – simple polynomials
Create a continuous chain of dominoes by differentiating polynomials.  … read more
(0)
KS5  | Published: 11/01/2013 | From the resource collection(s): Core | Differentiation | Dominoes, loop cards and treasure hunts
Transforming graphs revision cards
10 very handy double sided cards to revise trigonometric graphs  … read more
(0)
KS5  | Published: 14/09/2012 | From the resource collection(s): Core | Transformations of functions
Transforming sin(x)
Match the different graph transformations to their functions.  … read more
(0)
KS5  | Published: 27/07/2012 | From the resource collection(s): Core | Non-linear graphs – sin, cos and tan
Spearman's rank correlation coefficient
In pairs, calculate how similar your musical tastes are. This  … read more
(2)
KS5  | Published: 18/05/2012 | From the resource collection(s): Statistics & Probability | Spearman's rank coefficient
Conditional probability puzzler
This difficult problem helps you out by showing all of the workings,  … read more
(1) (1)
KS5  | Published: 02/03/2012 | From the resource collection(s): Statistics & Probability | Conditional probability
Graph transformation blitz
Use the graph of the function f(x) to sketch various graphs and  … read more
(0)
KS5  | Published: 13/01/2012 | From the resource collection(s): Core | Transformations of functions
Alter the original data set and analyse what happens to the averages  … read more
(1) (3)
KS5  | Published: 15/12/2011 | From the resource collection(s): Statistics & Probability | Averages and spread – standard deviation
Seeing graphs
Step-by-step instructions for sketching graphs from equations.  … read more
(3)
KS4 KS5  | Published: 15/12/2011 | From the resource collection(s): Algebra | Core | Sketching curves
Equation of a circle
A clear PowerPoint demonstration using Pythagoras' theorem to  … read more
(1)
KS5  | Published: 15/12/2011 | From the resource collection(s): Core | Non-linear graphs – circles
Transforming graphs
Match the graphs to their equations, by comparing them with the  … read more
(0)
KS5  | Published: 15/12/2011 | From the resource collection(s): Core | Transformations of functions