## Resourceaholic

Ideas and resources for teaching secondary school mathematics

• Blog Archive

• Introduction to writing algebraically - by me!
• Translating English to algebra - Median Don Steward
• Forming expressions textbook exercise - Corbett Maths
• Three operations, expressions - Median Don Steward
• Algebraic expressions  - Standards Unit
• abc - SMILE
• Words won't fail me - SMILE
• Function machines - Corbett Maths
• Function Machines Worksheet - Mr Thompson on TES
• Language of functions topic check-in  - OCR
• Algebraic Function Machines - by me, based on the resource by MissBrookesMaths
• Function machines - writing algebraically  - MissBrookesMaths
• Bridging Unit: Functional Notation  - AQA
• An Introduction to Function Notation - TeachIt Maths
• Interactive simplifying activities  - mathspad.co.uk
• Like terms search  -  @sgiekAHS
• Collecting like terms task cards - GottaLuvItCreations on TES
• Simplifying expressions questions  ( answers ) - @taylorda01
• Collecting like terms textbook exercise  - Corbett Maths
• Collecting like terms worksheet  - Richard Tock via variationtheory.com
• Multiplying terms textbook exercise  - Corbett Maths
• Simplifying Expressions by Multiplying Fill in the Blanks ( Answers ) - DrAustinMaths
• Simplifying Expressions by Dividing Fill in the Blanks ( Answers ) - DrAustinMaths
• Algebraic Multiplication and Division Fill in the Blanks ( Answers ) - DrAustinMaths
• Simplifying Expressions Involving Brackets and Powers ( Answers ) - DrAustinMaths
• Algebra pyramids  - Teachit Maths
• Algebra match - SMILE
• Expression Pyramids  - Median Don Steward
• Transforming expressions  - Median Don Steward
• L shaped perimeters - Median Don Steward
• Algebra true or false - by me!
• Algebra True or False Cards - Phlynn on TES
• Six legs  - Median Don Steward
• Algebraic Expressions Spiders - alutwyche on TES
• Six-a-side maths (simplifying algebra) - @dooranran on TES
• One incorrect simplification - Median Don Steward
• Algebraic Expressions Maze - MEI
• Algebraic order of operations - by me!
• A level simplifying worksheet ( solutions ) - Solomon
• Algebra exercises from the 1950s
• Expanding Single Brackets Fill in the Blanks ( answers ) - DrAustinMaths
• Expanding Single Brackets Name the Film ( answers ) - DrAustinMaths
• Expanding Single Brackets Odd One Out ( answers ) - DrAustinMaths
• Series of lessons on expanding and factorising - cparkinson3 on TES
• Expanding brackets questions  ( answers & supporting material ) - @taylorda01
• Expanding a bracket  - Maths4Everyone on TES
• Expanding single brackets maze - Mr Thompson on TES
• Expand and simplify - Maths4Everyone on TES
• 'Easy' Brackets - typed up by @FitzchivalryF
• Expanding single brackets textbook exercise - Corbett Maths
• Find the gaps  - Median Don Steward
• Expanding and simplifying  - Median Don Steward
• Expanding and Simplifying (positives only) Rich Task - Mr Thompson on TES
• Miscellaneous Brackets  - typed up by @InteractMaths
• Expanding Double Brackets Fill in the Blanks  ( answers ) - DrAustinMaths
• Expanding Harder Double Brackets Fill in the Blanks  ( answers ) - DrAustinMaths
• Series of lessons on expanding and factorising  - cparkinson3 on TES
• Expanding Double Brackets (Basic) - Matching Task - Mr Thompson on TES
• Equivalence route  - Median Don Steward
• Multiplying two brackets - Maths4Everyone on TES
• Expanding double brackets textbook exercise - Corbett Maths
• Double Brackets Task - Karen Hancock
• Double bracket expansion (grid method, leading to factorising) - GoTeachMaths
• Expanding brackets: quadratic expressions - Median Don Steward
• Multiplying brackets - algebra learning grid  - @dooranran on TES
• Expanding Harder Brackets Fill in the Blanks ( Answers ) - DrAustinMaths
• Expanding double brackets  (with grids) - ayoob
• A level expanding worksheet  ( solutions ) - Solomon
• Expanding/factorising card sort ,  student sheet ,  notes  &  ppt  - Nuffield Foundation
• Expanding triple brackets textbook exercise  - Corbett Maths
• Expanding triple brackets - Maths4Everyone on TES
• Expanding Polynomials  (cubics - new GCSE) - @dooranran on TES
• Expanding brackets II questions   ( answers ) - @taylorda01
• Grid method polynomial expansions  - MEI
• Expanding binomials – Squares  - Just Maths
• Triple Brackets – Boarding Card  - Just Maths
• Expanding triple brackets exam-style questions ( answers ) - 1st Class Maths
• Basic Factorising - full lesson - Boss Maths
• Factorisation textbook exercise  - Corbett Maths
• Factorising Linear Expressions - Richard Tock on TES
• Factorising questions  ( answers & supporting materials ) - @taylorda01
• Factors by grouping - typed up by @PaulRodrigo2718
• Expanding and factorising - mathshelper.co.uk
• Harder factorising - mathshelper.co.uk
• Subtle Factorising  - mathshelper.co.uk
• Factorising (Single Brackets) - Algebraic Product Puzzles - Mr Thompson on TES
• Factorising and Multiplying Algebraic Expressions - Mr Thompson on TES
• Increasing difficult common factors - Chris McGrane
• Factorising with common factors fill in the blanks ( answers ) - DrAustinMaths
• See below for factorising quadratics

• Introduction to rearranging formula - visual scaffolding - mathspad.co.uk
• Rearranging formulae variation  -  PixiMaths via variationtheory.com
• Grouping formulae by changing the subject - Teachit Maths
• Changing the subject questions  ( answers ) - @taylorda01
• Changing the subject activity - The Chalk Face
• Changing the subject - mathshelper.co.uk
• Rearranging formula booklet - Aquinas Maths Department
• Changing the subject of science formulae - by me!
• Maths skills in science - rearranging formulae  - TeachIt Science (free registration required)
• Rearranging formula - student sheet ,  sorting cards ,  notes , ppt  - Nuffield Foundation
• Rearrangement Steps - Median Don Steward
• Changing the Subject Full Coverage GCSE Questions  - compiled by Dr Frost
• Basic substitution questions  ( answers ) - @taylorda01
• Substitution into formulae - Maths4Everyone on TES
• Substitution Tree -  Median Don Steward
• Substitution code breaker  - Teachit Maths
• Substitution code breaker  (harder) - Teachit Maths
• Negative numbers substitution code breaker  - Teachit Maths
• Substitution scenarios - Teachit Maths
• Substitution quiz - I think I got this from TES years ago, author unknown (sorry)
• Substitution puzzle  - mathsteaching.wordpress.com
• Superhero substitution - @dooranran on TES
• To and fro - Median Don Steward
• Formulas - Median Don Steward
• Loop Cards - Median Don Steward
• Equivalence - Median Don Steward
• Pattern Answers -  Median Don Steward
• Developing  -  Median Don Steward
• Various formulas - Median Don Steward
• Substitution with fractions - typed up by Steve Bishop
• nth term of a linear sequence practice - DrAustinMaths.com (answers  here )
• Linear sequences fill in the blanks - DrAustinMaths.com (answers  here )
• Sequences fill in the gaps - Nathan Day
• nth terms and equations - Median Don Steward
• Interactive Find the Sequence  - mathspad.co.uk
• Extending and generalising number sequences - Don Steward
• Extending sequences questions  ( answers ) - @taylorda01
• Interactive Find the nth term - mathspad.co.uk
• nth term of a decreasing arithmetic sequence - Mr Thompson Maths
• Sequences forwards and backwards  - mathspad.co.uk
• Sequences booklet - pattern spotting  - Nick McIvor via Mark Horley
• Introduction to linear sequences - Teachit Maths
• Nth term textbook exercise - Corbett Maths
• Sequences fill in the gaps - Karen Hancock
• Position-to-term rules questions  ( answers ) - @taylorda01
• Linear sequences dominoes - Teachit Maths
• Sequences Search  - Tristan Jones
• Sequences Search - using the nth term (Substitution) - Mr Thompson on TES
• Arithmetic sequences GCSE revision - Maths4Everyone on TES
• Generating Sequences and Nth Term  - Access Maths
• Sequences Venn tasks - mathsvenns.com
• Rich tasks for sequences  - scottyknowles18 on TES
• Quadratic Sequences by Comparison  - by me!
• Completion Table - Linear and Quadratic Sequences  - Mr Thompson on TES
• Nth term of quadratic sequences questions  ( answers ) - @taylorda01
• Quadratic sequences  - Don Steward
• Quadratic nth term  - Don Steward
• Quadratic sequences mixed worksheet  - Maria Howard
• Quadratic sequences exam-style questions ( answers ) - 1st Class Maths
• See my post New GCSE: Sequences  for information about the changes to this topic at GCSE
• Continuing sequences fill in the blanks  - DrAustinMaths.com (answers  here )
• Fibonacci sequences practice  - DrAustinMaths.com (answers  here )
• Fibonacci sequences and equations  - Median Don Steward
• Fibonacci patterns - Median Don Steward
• Recognising and using Fibonacci type sequences - Boss Maths
• Arithmetic, Geometric or Quadratic Sequence? - Mr Thompson on TES
• Nth term formulae - Maths4Everyone on TES
• Term-to-term rules matching cards  - Teachit Maths
• Types of sequence puzzles  - MathsPad
• Sequences with surds - Nathan Day
• Sequences Problem - @jase_wanner
• Odd One Out  - @jase_wanner
• 4 in a line - Extending Sequences  - MissBrookesMaths
• Types of sequence Tick or Trash  - MissBrookesMaths
• Generating Sequences Quiz Quiz Trade - MissBrookesMaths
• Geometric sequences - Median Don Steward
• Geometric sequences - some with surds  - Median Don Steward
• Sequences chapter  ( answers ),  slides and exercises - CIMT
• Solving equations - visual scaffolding - mathspad.co.uk
• One Step Equations - colouring  - Mr Thompson on TES
• Find the mystery number - mathspad.co.uk
• I'm thinking of a number - mathspad.co.uk
• Worms, beetles and loops - Median Don Steward
• One step equations - Maths4Everyone on TES
• One Step Equations No Negatives Colour & Maze - GottaLuvItCreations on TES
• Solving linear equations questions ( answers ) - @taylorda01
• Steps to Solving Equations  - Mathematics Assessment Project
• Linear equations sheets - Median Don Steward
• Introduction to equations - lessons plans and activities - Project Maths
• Puzzles that you could use algebra to solve - Median Don Steward
• Forming equations textbook exercise - CorbettMaths
• Forming equations - mathshelper.co.uk
• Solving Equations and Simplifying Expressions - Pyramids - Mr Thompson Maths
• Forming and solving linear equations - steele1989 on TES
• Solving Equations with Fractional Answers - Mr Thompson on TES
• Solving equations with area - Access Maths
• Solving equations with perimeter - Access Maths
• Solving equations with brackets - @FortyNineCubed
• Solving Equations with Brackets - Challenge Questions  - Mr Thompson on TES
• Equations involving brackets - typed up by Justin Thompson
• Some wrong equation solving - Median Don Steward
• Linear equations cross-puzzles - Median Don Steward
• Forming and solving equations - Teachit Maths
• Two step equations - Maths4Everyone on TES
• Equations with an x on both sides - Maths4Everyone on TES
• Equations - x on both sides - Problem Solving - Mr Thompson on TES
• Equations with unknown on both sides notes and exercises  - martahidegkuti.com
• Solving linear equations - Cazoom Maths
• Expression polygons  - Colin Foster
• Linear equation extras - Median Don Steward
• Challenging linear equations - mathshelper
• Equations exercises from the 1950s
• Solving Linear Equations Full Coverage GCSE Questions  - compiled by Dr Frost
• GCSE 9-1 Exam Practice Questions (Algebraic Problems)  - Maths4Everyone on TES
• One step linear equations exam-style questions ( answers ) - 1st Class Maths
• Two step linear equations exam-style questions ( answers ) - 1st Class Maths
• Evaluating Statements about Number Operations  - Mathematics Assessment Project
• Manipulating inequalities - Karen Hancock
• Inequalities and number lines - Maths4Everyone on TES
• Solving Linear Inequalities Practice Grid ( Answers ) - Dr Austin Maths
• Solving Compound Inequalities Practice Grid  ( Answers ) - Dr Austin Maths
• Compound inequalities - Maths4Everyone on TES
• Set notation for inequalities (new GCSE) - by me!
• Representing Inequalities Practice Grid ( Answers ) - Dr Austin Maths
• Representing Double Inequalities Practice Grid ( Answers ) - Dr Austin Maths
• Representing Inequalities Match-Up ( Answers ) - Dr Austin Maths
• Linear inequalities notes and exercises  - martahidegkuti.com (more practice here )
• Inequalities Spiders - Andy Lutwyche on TES
• Inequalities - mathshelper.co.uk
• Inequalities and number lines  - TeachIt Maths
• Introduction to inequalities  - lesson plans and activities - Project Maths
• Linear Inequalities  - Median Don Steward
• Inequality scenarios  - TeachIt Maths
• Solving inequalities  - TeachIt Maths
• Solving Linear Inequalities Match-Up ( Answers ) - Dr Austin Maths
• Solving Compound Inequalities Name the Film ( Answers ) - Dr Austin Maths
• Linear Inequalities True or False ( Answers ) - Dr Austin Maths
• Solving inequalities topic review sheet - Maths4Everyone
• Defining Regions Using Inequalities  - Mathematics Assessment Project
• Inequations: Regions - Median Don Steward
• Graphing Inequalities 1  & Graphing Inequalities 2  - MissBrookesMaths
• Graphical inequalities: drawing - topic review sheet - Maths4Everyone
• Graphical inequalities: identifying - topic review sheet  - Maths4Everyone
• Shading Graphical Inequalities Practice Grid ( Answers ) - Dr Austin Maths
• Shading Harder Graphical Inequalities Practice Grid ( Answers ) - Dr Austin Maths
• Describing Graphical Inequalities Practice Grid ( Answers ) - Dr Austin Maths
• Describing Harder Graphical Inequalities Practice Grid ( Answers ) - Dr Austin Maths
• Graphical Inequalities Match-Up  ( Editable Word | PDF | Answers ) - Dr Austin Maths
• Inequalities and regions exam-style questions ( answers ) - 1st Class Maths
• Shading and Describing Harder Graphical Inequalities Practice Grid ( Answers ) - Dr Austin Maths
• Solving Equations and Inequalities Revision Practice Grid ( Answers ) - Dr Austin Maths
• Inequalities practice/revision - AS Resource Pack
• Inequalities Chapter  ( answers ) - CIMT
• Quadratic inequalities worksheets  - SRWhitehouse on TES
• Quadratic inequalities worksheet - phildb on TES
• Spot the mistake - by me!
• Solving Quadratic Inequalities Fill in the Blanks - Andy Lutwyche
• Solving Quadratic Inequalities Fill In The Blanks ( Answers ) - DrAustinMaths
• Solving Harder Quadratic Inequalities Fill In The Blanks ( Answers ) - DrAustinMaths
• Inequalities for some occasions - Underground Mathematics
• Quadratic inequalities exam-style questions ( answers ) - 1st Class Maths
• A level inequalities worksheet  ( solutions ) - Solomon
• A level inequalities problem solving worksheet  ( solutions ) - Solomon
• See my blog post for teaching methods
• Cartesian Coordinates and Straight Lines booklet  - Teachit Maths
• Plotting Linear Graphs Practice Grid ( Answers ) - DrAustinMaths
• Plotting graphs  - Median Don Steward
• Plotting Linear Graphs Fill in the Blanks ( Answers ) - Dr Austin
• Drawing straight line graphs - Teachit Maths
• Plotting lines from equations - Teachit Maths
• The algebra of straight lines - TeachIt Maths
• Graph snaps - Don Steward
• Plotting Straight Line Graphs: ax + by = c - Mr Thompson on TES
• Drawing straight line graphs exam-style questions ( answers ) - 1st Class Maths
• Introduction to gradient - Teachit Maths
• Finding Gradients of Straight Lines Practice Grid ( Answers ) - DrAustinMaths
• Gradient and y-intercept - TeachIt Maths
• Gradient resources and geogebra tools
• Straight Line Graphs in Desmos  - by me!
• 'Understanding y = mx+c' worksheet  - Teachit Maths
• Gradient and y-intercept Fill in the Blanks ( Answers ) - DrAustinMaths
• Equation of a Straight Line Fill In The Blanks ( Answers ) - DrAustinMaths
• Finding Equations of Vertical and Horizontal Lines Fill in the Blanks ( Answers ) - Dr Austin
• Finding Equations of Vertical and Horizontal Lines Name the Film ( Answers ​) - Dr Austin
• Reciprocals Odd One Out - MathsPad
• Lessons: parallel lines and perpendicular lines  - Richard Tock
• Classifying Equations of Parallel and Perpendicular Lines  - Mathematics Assessment Project
• Perpendicular Lines Worksheet  - by me!
• Parallel and Perpendicular Lines Spiders - alutwyche on TES
• Parallel and Perpendicular Lines Match-Up ( Answers ) - Dr Austin
• Parallel and Perpendicular Lines True or False ( Answers ) - Dr Austin
• Equation of parallel lines exam-style questions  ( Answers ) - 1st Class Maths
• Equations of perpendicular lines exam-style questions  ( answers ) - 1st Class Maths
• Straight line graphs problem solving  - Maria Howard on TES
• Coordinate Geometry Problems - Access Maths
• Equation of a Straight Line - Fill in the Gaps - Mr Thompson on TES
• Linear Graphs homework sheet  - Mathattack
• Topic checklist  - thechalkface.net
• Foundation: Linear Graphs 'I Can'  - Mathsbox
• Equation of a straight line questions  ( supporting material ) - @taylorda01
• Linear rules, with contexts - Median Don Steward
• Linear equations and Mr Venn - Median Don Steward
• Straight line graphs review  - TeachIt Maths
• Coordinate Geometry - Straight Lines - TeachIt Maths
• A level coordinate geometry worksheet  ( solutions ) - Solomon
• Two Points Spider Diagrams ( Answers ) - Dr Austin
• Harder Coordinate Geometry Practice Grid ( Answers ) - Dr Austin
• Linear graphs GCSE questions  - AQA and Edexcel, compiled by me!
• Equation of a line exam-style questions ( answers ) - 1st Class Maths
Factorising
• Sum Product Tasks  - Nathan Day
• Factorising Quadratics Fill in the Blanks ( Answers ) - Dr Austin Maths
• Factorising quadratics  - SRWhitehouse on TES
• Double bracket expansion  (grid method, leading to factorising) - GoTeachMaths
• Difference of Two Squares  - Median Don Steward
• Factorising Quadratics puzzle (positives only) - Mr Thompson on TES
• Quadratic Areas Puzzle  - Chritsopher on TES
• Miscellaneous Factors  - typed up by @InteractMaths
• Tap Top (includes questions with a > 1) - Median Don Steward
• A level factorising worksheet  ( solutions ) - Solomon
• Factorising Non-Monic Quadratics by Inspection - by me!
• Factorising Full Coverage GCSE Questions  - compiled by Dr Frost
• Expanding and factorising revision - fill in the blanks ( answers ) - DrAustinMaths
Quadratic graphs - plotting, sketching and recognising
• Sketching Quadratics - source unknown
• Plotting Basic Quadratic Graphs - Mr Thompson Maths
• Sketching Quadratics from Intersections with Axes - Chris McGrane
• Plotting Quadratic Graphs Practice Grid ( Answers ) - Dr Austin Maths
• Sketching Quadratic Graphs Practice ( Answers ) - Dr Austin Maths
• GCSE Quadratics Graphs Worksheets - taylorr9 on TES
• Quadratics - Roots, y-Intercepts & Turning Points worksheet - Mr Thompson on TES
• Quadratics card sort - Standards Unit
• Quadratic Points - Median Don Steward
• Quadratic Functions  - Susan Wall
• Sketching quadratics  - SRWhitehouse on TES
• Quadratic matching  - Median Don Stewa rd
• Quadratics from roots, vertex and y-intercept  - Median Don Steward
• Which graph?  - Median Don Steward
• Quadratic graphs - fill in the gaps - Craig Barton
• Representing Quadratic Functions Graphically  - Mathematics Assessment Project
• Solving Equations Graphically Practice Grid ( Answers ) - Dr Austin Maths
• See my  blog post  about finding the vertex of a quadratic function
• Introduction to Quadratic Equations  - lesson plans and activities - Project Maths
• Solving Quadratics Spiders - Andy Lutwyche on TES
• Solving Quadratics by Factorising Match-Up ( answers ) - Dr Austin Maths
• Dominoes - Solving Quadratics - Teachit Maths
• Quadratic equations  - Median Don Steward
• Codebreaker - Solving Quadratics (by factorising)  - Andy Lutwyche on TES
• Quadratic equations collect a joke  - Dan Walker on TES
• Solving Quadratic Equations (with Re-arrangement) - Mr Thompson on TES
• Form and solve an equation  - Median Don Steward
• Forming and solving quadratics in context ( answers ) - Dr Austin Maths
• Making quadratics from areas  - pas1001 on TES
• Factorising and solving quadratic equations  - CrashMaths
• Mixed Linear and Quadratic Equations - Chris McGrane
• Tough equations - Median Don Steward
• Solving Quadratic Equations Full Coverage GCSE Questions  - compiled by Dr Frost
• Quadratic 'show that' GCSE questions  - Maths4Everyone on TES
• The Quadratic Formula - Andy Lutwyche on TES
• Using the Quadratic Formula Fill In The Blanks ( Answers ) - Dr Austin Maths
• Quadratic formula lesson and activities  - Richard Tock
• Quadratic formula lesson - LawrenceHouldsworth on TES
• Quadratic formula - Median Don Steward
• Quadratic formula revision worksheet - timcw on TES
• Quadratic formula worksheet - CrashMaths
• Quadratic formula GCSE revision - Maths4Everyone on TES
• Quadratic formula Open Middle problem  - openmiddle.com
• Quadratic formula exam-style questions ( answers ) - 1st Class Maths
Completing the Square
• Completing the square questions  ( answers ) - @taylorda01
• Completing the square - Maths4Everyone on TES
• Completing the square to sketch  - SRWhitehouse on TES
• Completing the square activity and notes ( teacher notes and slides ) - Nuffield Foundation
• Completing the Square Dominoes  - Teachit Maths
• Completing the square codebreaker - alutwyche on TES
• A level completing the square worksheet  ( solutions ) - Solomon
• Solving by Completing the Square - Matching Activity - Mr Thompson on TES
• Completing the square worksheet - CrashMaths
• Completing the Squares Full Coverage GCSE Questions  - compiled by Dr Frost
• Completing the square exam-style questions ( answers ) - 1st Class Maths
• Tricky completing the square exam-style questions  ( answers ) - 1st Class Maths
• Finding turning points by completing the square exam-style questions  ( answers ) - 1st Class Maths
• Solving quadratics by completing the square exam-style questions ( answers ) - 1st Class Maths
Mixed
• End of topic quadratics test - Crash Maths
• Odd One Out  - mathspad.co.uk
• Quadratic expression versions  - Don Steward
• A level quadratics problems worksheet  ( solutions ) - Solomon
• See my blog post on Trial and Improvement  for ideas and resources
• Iteration lesson - full lesson - Boss Maths
• Bridging Units: Resource Pocket 4 - Iterative methods for solving equations numerically - AQA
• Destination Douze and Iteration - Don Steward
• Iteration practice questions - Corbett Maths
• Iteration slides - Dr Frost
• Solving cubic equations iteratively - Median Don Steward
• Iterations - CrashMaths
• Iteration resources (subscription) - MathsPad
• Iteration AQA exam-style questions ( answers ) - 1st Class Maths
• Iteration Edexcel exam-style questions ( answers ) - 1st Class Maths
• Scaffolded simultaneous equations - Ashton Coward
• Simultaneous equations deductions  - Median Don Steward
• Simultaneous equation tasks  - Median Don Steward
• Simultaneous equations exercises - variationtheory.com
• Solving Linear Simultaneous Equations Crack the Code - DrAustinMaths.com (answers here )
• Simultaneous Scenarios  - Teachit Maths
• Solving simultaneous equations by elimination - full lesson - Boss Maths
• The final step - @mathsmrgordon via variationtheory.com
• Simultaneous equations generalising - Median Don Steward
• Simultaneous equations - mathshelper.co.uk
• Solving Simultaneous Equations Graphically  - Tristan Jones on TES
• Solving Simultaneous Equations Graphically - by me!
• Simultaneous equations and graphs  - Median Don Steward
• Where lines meet - Median Don Steward
• Simultaneous Equations in Geometrical Problems - Mr Thompson on TES
• Simultaneous equations GCSE revision - Maths4Everyone on TES
• Miscellaneous simultaneous equations - typed up by @fionajw
• Simultaneous equations questions  ( answers ) - @taylorda01
• Quadratic meets Linear - Median Don Steward
• Non-linear simultaneous equations exam-style questions ( answers ) - 1st Class Maths
• Simultaneous Equations Mega Sheet - mathshelper.co.uk
• One Linear and One Quadratic  - examples and exercise - CIMT
• A level simultaneous equations worksheet  ( solutions ) - Solomon
• Simultaneous Equations Full Coverage GCSE Questions  - compiled by Dr Frost
• Exam style questions - quadratic simultaneous equations  - Maths4Everyone on TES
• Exam style questions - linear simultaneous equations  - Maths4Everyone on TES
• Fractions inc algebra -  Add and Subtract  ,  Equivalent ,  Simplifying  - MissBrookesMaths
• Ordering algebraic fractions - Mr Thompson on TES
• Collection of four lessons on algebraic fractions  - cparkinson3 on TES
• Simplifying algebraic fractions (basic) - @fortyninecubed via variationtheory.com
• Simplifying algebraic fractions by factorising questions  ( answers ) - @taylorda01
• Simplifying algebraic fractions GCSE revision - Maths4Everyone on TES
• Further Factorising - colmanweb.com
• Simplification of Fractions by Factors II - typed up by @mathsbox1
• Adding and subtracting algebraic fractions GCSE revision  - Maths4Everyone on TES
• Algebraic fractions - Median Don Steward
• Challenging algebraic fraction questions - mathshelper.net
• Algebraic Fractions, Solving Equations - Maths4Everyone on TES
• Simplifying Algebraic Fractions - Deliberate Practice - Mr Thompson on TES
• Algebraic Fractions Full Coverage GCSE Questions  - compiled by Dr Frost
• Algebraic Fractions (equations) ( answers ) - 1st Class Maths
• Algebraic Fractions (simplifying)  ( answers ) - 1st Class Maths
• Algebraic Fractions (operations)  ( answers ) - 1st Class Maths

• An Introduction to Function Notation  - TeachIt Maths
• Two-Step Functions Fill in the Blanks ( Answers ) - Dr Austin Maths
• Three-Step Functions Fill in the Blanks ( Answers ) - Dr Austin Maths
• Evaluating Two-Step Functions Fill in the Blanks ( Answers ) - Dr Austin Maths
• Evaluating Three-Step Functions Fill in the Blanks ( Answers ) - Dr Austin Maths
• Functions questions  ( answers ) - @taylorda01
• Evaluating Functions  - mathsworksheetland.com
• Evaluating Functions Crack the Code ( Answers ) - Dr Austin Maths
• Functions practice questions  - transfinite on TES
• Functions and solving - Johnathan Byrne
• Combined Functions - Median Don Steward
• Composite Functions Match-Up ( Answers ) - Dr Austin Maths
• Equations with Composite Functions - Maths4Everyone
• Composite Functions topic review sheet - Maths4Everyone
• Combined Linear Functions - Median Don Steward
• Composite functions worksheet pack  - mathsworksheetland.com
• Inverse Functions Fill In The Blanks ( Answers ) - Dr Austin Maths
• Inverses of Discrete Functions worksheet  - mathsworksheetland.com
• Function activities from MathsPad  (with subscription)
• Functions - mathshelper.co.uk
• Functions problems - Access Maths
• Functions multiple choice quiz  - Tristan Jones on TES
• Functions notes and exercises  - CIMT, University of Plymouth
• Functions Full Coverage GCSE Questions  - compiled by Dr Frost  ( print-friendly version )
• Function notation exam-style questions  ( answers ) - 1st Class Maths
• Composite functions exam-style questions ( answers ) - 1st Class Maths
• Functions and equations exam-style questions  ( answers ) - 1st Class Maths
• Inverse functions exam-style questions  ( answers ) - 1st Class Maths
• Using and Understanding Graphs True or False - MathsPad
• Exploring Graphs with Desmos - by me!
• Representing Functions of Everyday Situations - Mathematics Assessment Project
• Recognising graphs matching activity  - Payphone on TES
• Recognising graphs - Higher GCSE  - alexwoodforth1 on TES
• Plotting Cubic Graphs Practice Grid ( Answers ) - Dr Austin Maths
• Plotting Reciprocal Graphs Practice Grid ( Answers ) - Dr Austin Maths
• Plotting Harder Non-Linear Graphs Practice Grid ( Answers )  - Dr Austin Maths
• Recognising Graphs Match-Up ( Answers ) - Dr Austin Maths
• Solving Equations Graphically Practice Grid ( Answers ) - Dr Austin Maths
• Plotting Linear and Non-Linear Graphs Revision Practice Grid ( Answers )  - Dr Austin Maths
• Graphs of linear functions, quadratic functions, simple cubic functions, and the reciprocal function - full lesson - Boss Maths
• Exponential Graphs  ( Answers ) - Corbett Maths
• Graphs of exponential functions - full lesson - Boss Maths
• GCSE Exam Question Practice (non-linear graphs)  - Maths4Everyone on TES
• Curve Sketching - cparkinson3 on TES
• Also see 'Real-life graphs' in the Shape and Measure library
• Transforming parabolas  - by me!
• Translating quadratic graphs - MEI
• Sketch translations and reflections of a given function - full lesson - Boss Maths
• Graph transformations chapter - CIMT
• Translating y = x squared  - Median Don Steward
• Graph trasformation blitz - TeachitMaths
• Transforming Graphs card match - Teachit Maths
• Graph Transformation GCSE questions - bland.in
• Transformations of graphs - Corbett Maths
• Drawing Transformations of Graphs Practice Grid ( Answers ) - Dr Austin
• Describing Transformations of Graphs Practice Grid ( Answers ) - Dr Austin
• Transformations of Points on Graphs Practice Grid ( Answers ) - Dr Austin
• GCSE Style Questions - Graph Transformations  ( Answers ) - 1st Class Maths
• A level graph transformations worksheet  ( solutions ) - Solomon
• If a is an integer - mathspad.co.uk
• Arguing mathematically - full lesson - Boss Maths
• Using algebra to construct proofs - full lessons - Boss Maths
• Consecutives - Median Don Steward
• Proof notes and exercises  (&  answers )- CIMT
• Proof questions  - Longitudinal Proof Project
• Quadratic proofs - Median Don Steward
• Algebraic proof worksheet - AQA
• Proof cards  - via TAM course
• Proof revision mat - MathedUp!
• Equating coefficients in identities - by me!
• Identities (equating coefficients) - Mr Thompson on TES
• Identities tasks - Nathan Day
• Quadratic expression versions - Don Steward
• Algebraic Proofs - CrashMaths
• Algebraic Proof Practice Strips ( Answers ) - Dr Austin
• Algebraic Proofs Full Coverage GCSE Questions - compiled by Dr Frost
• Algebraic Proof workbook - Maths4Everyone
• Recognising and using the equation of a circle with the centre at the origin - full lesson - Boss Maths
• Finding the equation of a tangent to a circle at a given point- full lesson  - Boss Maths
• Circle Equations - Transum
• General formula for a circle - headofslytherin on TES
• Equations of Tangents to Circles - by me!
• Two tangents meet on the y-axis - Don Steward
• Equation of a circle - GCSE - Difficult!  - pbrucemaths on TES
• Drawing a tangent line - NCTM
• Calculating or estimating gradients of graphs - full lesson - Boss Maths
• Finding the gradient of a curve using a tangent  - by me!
• Gradient on a curved graph  - Owen134866 on TES
• Gradient and Area Under Graphs - Sequence of lessons  - dannytheref on TES
• Using Graphs  - CIMT
• Textbook extract  - Collins
• Estimating the Gradient of a Curve Practice Grid ( Answers ) - Dr Austin
• Speed and acceleration graphs  - eleanorvickers on TES
• Graphing Activity  - @DJUdall
• Gradients of graphs textbook chapter
• See my blog post  New GCSE: Tangents and Areas  for information about this new GCSE topic
• Estimating the area under a graph - full lesson - Boss Maths
• Using Graphs - CIMT
• Textbook extract  - Collins
• Slides & Student sheet & Teacher notes  - Nuffield Foundation
• Area under a graph - by me!
• Areas under curves textbook chapter
• Exam questions - from Edexcel, collated by me
• Algebraic Manipulation Maze  - Dan Walker on TES
• Algebra practice makes perfect  - Don Steward
• GCSE A Grade Algebra matching cards - colmanweb.com
• Higher Algebra textbook extract - Oxford University Press

## Factorising

Prior Content:  Expanding Brackets , Properties of Numbers , Basic Operations +-x/

Possible Next Steps: Solving Quadratics , Algebraic Fractions , Completing the Square

## 1.1 Single Bracket Basics

1.2 brackets as factors (aqa level 2), 2.1.1 factorising quadratics (++), 2.1.2 factorising quadratics (-+), 2.1.3 factorising quadratics (negative c), 2.2 the difference of two squares, 2.3.1 looking for common factors before factorising, 2.3.2 factorising when ‘a’ does not equal 1, whole topic summary resources (including past paper questions), teaching videos, exercises & activities, tutorial videos.

Courtesy of Maths Genie

Corbettmaths Factorisation

Hegartymaths Video

## Activities & Resources

• Access Maths Squares Game
• Bossmaths lesson
• without indices
• with indices
• interactive-maths.com Bingo
• Factorising Single Brackets ppt
• Spider diagrams  (TES resource of the week) and Mr Barton  video . Great link to factorising from expanding.
• Factorising with Common Factors Fill in the Blanks ( Editable Word  |  PDF  |  Answers )
• Factorising with Common Factors Practice Strips ( Editable Word  |  PDF  |  Answers )
• Factorising with Common Factors Practice Grid ( Editable Word  |  PDF  |  Answers )
• More Factorising with Common Factors Practice Grid ( Editable Word  |  PDF  |  Answers )
• cimt Online lesson notes and worksheet
• Factorisation Practice Questions & Solutions
• Factorisation Worksheet & Solutions
• falleese Worksheet (TES Account Required)
• Numerical Factors First Steps
• Numerical Factors Strengthen
• Letter Factors First Steps
• Letter Factors Strengthen
• Mixed First Steps
• Mixed Strengthen
• Factorising Single Brackets RAG
• Transum Online Worksheet (Levels 1-3)
• Tristanjones Worksheet (TES Account Required)

## Dr Frost Resources

Dr frost video.

Whole Topic Video

K348: Factorising by Taking a Common Numeric Factor Out.

K349: Factorising by Taking a Common Algebraic Factor Out.

K350:  Factorise by Taking a Common Algebraic Factor Out Involving Index Laws.

## Dr Frost Slides & Activities

• Dr Frost Slides, Worksheets & Homework
• Standard Test

## Extra Questions

• Dr Frost Questions 1
• Dr Frost Questions 2 (extension)

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 348 Factorising by Taking a Common Numeric Factor Out.
• 349 Factorising by Taking a Common Algebraic Factor Out.
• 350 Factorise by Taking a Common Algebraic Factor Out Involving Index Laws.
• Combination of All

Factorising Key Skills Section (for selecting more than one)

## Further Practice

• Practise Questions

## Extension Materials

• Factorising Practice Questions & Solutions
• mathshelper.co.uk factorising by grouping
• startingpointsmaths.com Increasingly difficult common factors
• Dr Frost Questions 2 (extension) -Q18 & 19
• K196c  Use Pairwise Factorisation to Write an Expression as the Product of Two Brackets.
• K178d:  Factorise by taking a common bracketed factor out.

*Remember to always look for common factors before jumping in to double brackets!

## TEACHING VIDEOS, EXERCISES & ACTIVITIES

This is a huge topic and some resources are produced covering all possibilities at once. For more broken down resources, including Dr Frost exercises, see the sub-sub-topics in the following 3 sections.

## Common Factors

Common Factos before factorising (WW)

Introducing the AC method early (WW)

• Maths Made Easy and MME Test

• Access Maths X marks the spot Sum & product activity
• Factorising Quadratics ppt (Slides 1-18)
• without coefficients
• Factorising Quadratics Practice Questions (Q1-24) & Solutions
• Factorising Quadratics Worksheet & Solutions
• Factorising Quadratics Loop Set 1
• Factorising Quadratics Loop Set 2
• Nuffield Education Card Sort
• Maths 4 Everyone loop
• WW A-C method ppt
• Factorising Quadratics Fill in the Blanks ( Editable Word  |  PDF  |  Answers )
• Factorising Quadratics Practice Strips ( Editable Word  |  PDF  |  Answers )
• Factorising Quadratics Name the Film ( Editable Word  |  PDF  |  Answers )
• Expanding and Factorising Quadratics Fill in the Blanks ( Editable Word  |  PDF  |  Answers )
• Unknown (apologies) Worksheet
• TenTors Worksheet – Questions in blocks progressing in line with WW (TES Account Required)
• Mathster Worksheets via Mrbartonmaths.com – select any of the Factorise Quadratics – Basics
• Factorising Worksheet
• Factorising Quadratics Stage Two Strengthen
• Transum Online Worksheet (Levels 4-5 for practice of A-C method, Level 7 mixed)
• cimt Factorising Quadratics Q2 (Goes on to solving)

## Dr Frost resources

K384:  Factorise Quadratics of the Form x 2 ±bx±c.

• Dr Frost Slides, Worksheets & Activities (Slides 12-17)

## All-in-one sheet

• Dr Frost Questions
• 384 Factorising Quadratics of the Form x 2 ±bx±c.

Factorising Key Skills Section  (for selecting more than one)

## EXTENSION MATERIALS

WW From 4:35 to 7:01

• Unknown (apologies) Worksheet First Section
• Online worksheet generator by worksheetmath.com (with ability for everything positive)
• Stage One First Steps

K381:  Factorising Quadratics of the Form x 2 +bx+c.

• 381 Factorising Quadratics of the Form x 2 +bx+c.

WW From 7:01 to 10:10

• Unknown (apologies) Worksheet Second Section
• Stage One Strengthen

K382:  Factorise Quadratics of the Form x 2 −bx+c.

• 382 Factorising Quadratics of the Form x 2 −bx+c.

WW From 10:10 to 14:47

• Unknown (apologies) Worksheet Third Section
• Stage Two First Steps

K383:  Factorise Quadratics of the Form x 2 ±bx−c.

• 383 Factorising Quadratics of the Form x 2 ±bx−c.

Courtesy of Maths Genie (From 10:24)

Corbett Maths Difference Between Two Squares

Exam Solutions video

Mathbyfives genuinely one of my favourite video producers ever, and am sad it took me until 2021 to discover them (but I would recommend watching one of the other above first to ensure you have a good understanding).

• Khan Academy Section of Difference of two squares
• Difference of Two Squares Practice Strips ( Editable Word  |  PDF  |  Answers )
• Difference Between Two Squares Worksheet & Solutions
• Extra worksheet
• BAscah numerous worksheets differentiated (TES Account Required)
• Kuta Software Factorising (special cases) Worksheet
• Transum Online Worksheet (Level 6)

K385:  Factorise the Difference of Two Squares.

K386:  Factorise the Difference of Two Squares After Taking a Common Factor Out.

• Dr Frost Slides, Worksheets & Activities (Slides 19-24)
• 385 Factorise the Difference of Two Squares.
• 386 Factorise the Difference of Two Squares After Taking a Common Factor Out.
• 764  Factorise the difference of two squares: kx 2 -a 2
• K194c:  Factorise the difference of two squares to evaluate numerical calculation.

Stand Up Maths video looking into representing all odd numbers as the difference of two squares and link to nrich activity on the same idea. There are also some resources on this on think-maths.co.uk

• Mathteacher.com.au Some really nice questions with taking out common factors first
• Worksheet by School District No. 43  ( Coquitlam )
• Brilliant.org page on extending understanding to more complex scenarios, including a lovely animation at the top

Factorising Quadratics with a Common Factor by Maths by Fives

Factorising Quadratics with GCF by Sheldon Collier

Ex: Factor and Solve Quadratic Equations by Mathispower4u

• More Complex Factorising Practice Strips ( Editable Word  |  PDF  |  Answers )
• lavc.edu Worksheet

• Dr Frost Slides, Worksheets & Activities (Slides 25-34)

No Key Skills Yet

## By Inspection

Corbettmaths by inspection

## A-C Method (splitting)

Corbett Maths Splitting the Middle Term

## Alternative Method

It works every time. Here is why. pic.twitter.com/RmQG5H3nwI — mguri (@mguri6) October 8, 2020
• Maths Made Easy (by inspection, scroll down to type 2)
• with coefficients
• Studymaths.co.uk online questions
• Squares Game Just Maths
• Grid method polynomial expansions  – MEI
• expanding 2 or more brackets
• expanding more than 2 binomials
• Factorising Quadratics ppt (Slides 19 Onwards)
• Factorising Harder Quadratics Practice Strips ( Editable Word  |  PDF  |  Answers )
• Factorising Harder Quadratics Fill In The Blanks ( Editable Word  |  PDF  |  Answers )
• Factorising Harder Quadratics Crack the Code ( Editable Word  |  PDF  |  Answers )
• Manipulating Negative Quadratics Practice Strips ( Editable Word  |  PDF  |  Answers )
• Factorising Quadratics Practice Questions & Solutions (from Q24)
• Factorising Harder Quadratics Worksheet & Solutions
• Kuta Software Factorising (hard) Worksheet
• Twiglet84 Collect a Joke (TES Account Required)
• Critsopher Quadratic Areas Puzzle (TES Account Required)
• mrsmorgan1 Factorising non-Monic Quadratics by Inspection (TES Account Required)
• Maths Genie Booklet (ignore solve questions) and Solutions
• Transum Online Worksheet (Levels 8-9)

K387:  Factorise Quadratics of the Form ax 2 +bx+c.

• 387 Factorise Quadratics of the Form ax 2 +bx+c.
• 720  Factorise a Quadratic Expression Using a Substitution.
• 765  Fully Factorise a Quadratic of the Form ax 2 +bx+c.
• K195b  Factorise Quadratics of the Form ax 2 −bx+c.
• K195c  Factorise Quadratics of the Form ax 2 ±bx±c.
• Mathshelper Worksheet
• Kuta Software Factoring by Grouping Worksheet
• Kuta Software Quadratics in Disguise Worksheet

Download Factorising PPQs as WW Powerpoint for Edexcel IGCSE , AQA GCSE , Edexcel GCSE or OCR GCSE (or all GCSE together )

## Other Whole Topic Resources

• C Parkinson Lesson Slides for Expanding & Factorising (TES Account Required)
• Expanding and Factorising Revision Fill In The Blanks ( Editable Word  |  PDF  |  Answers )
• Factorising Revision Practice Grid ( Editable Word  |  PDF  |  Answers )
• Standard Topic Review
• Harder Topic Review

## Mr Barton Maths Podcast

Long-form conversations about teaching and learning with craig barton.

## Factorising into single brackets: TES Maths Resource of the Week

To see all of the work I do for TES Maths, including Resource of the Week, Inspect the Spec, Pedagogy Place, Maths Newsletters and Topic Collections, please visit the TES Maths Blog  here

What is it? Over the years I have struggled to get my students thinking hard when it comes to factorising into single brackets. Sure, I can make the expressions more and more complicated, but essentially the thought process my students require to solve any question I give them is the same. And that is potentially problematic because, as Professor Robert Coe says, learning happens when students think hard.

Step forward this fantastic resource inspired by the work of Don Steward; students must insert algebraic expressions into the grid so that each column and row multiplies to give the expression at the end. Sounds simple but the clever design of the questions means that students need to think really hard about factors that are common to multiple expressions in order to find the unique arrangement that works.

How can it be used? This is an ideal problem solving activity to present to students after they have mastered the basics of factorising into single brackets. It is here that they can put their skills to the test, combining them with logical reasoning and deduction. Such an activity might be well suited to paired work, with the usual provision that it is important all students have the opportunity to engage and reap the benefits from thinking hard.

Thanks for sharing! Craig Barton

## Factorising Worksheet

• Section 1 of the factorising worksheet contains 21 skills-based factorising questions, in 3 groups to support differentiation
• Section 2 contains 3 applied factorising questions with a mix of worded problems and deeper problem solving questions
• Section 3 contains 2 foundation and higher level GCSE exam questions to practise factorising algebraic expressions
• Answers and a mark scheme for all questions are provided
• Questions follow variation theory with plenty of opportunities for students to work independently at their own level
• All skills based and GCSE questions created by fully qualified expert secondary maths teachers
• Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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Raise maths attainment across your school with hundreds of flexible and easy to use GCSE maths worksheets and lessons designed by teachers for teachers.

## Factorising at a glance

Factorising is the inverse of expanding brackets. It involves rewriting an expression so that it becomes the product of two (or more) terms in brackets.

The topic begins with factorising binomials (polynomials with 2 terms) into a single bracket using common factors. This involves skills such as comparing the coefficients of the two terms and considering their highest common factor (hcf). The highest common factor may be a number, a variable (a letter) or both. Both terms may have indices, so an understanding of indices can be very useful.

The topic moves onto factorising trinomials (polynomials with 3 terms) such as quadratic expressions. This leads to rewriting the trinomial as a product of two factors, each with its own set of brackets. This is often referred to as factorising quadratics with double brackets. This can be done by looking at the constant term and finding its factor pairs and calculating which pair sum to make the coefficient of the x term. We can use factorising quadratics as a method for solving quadratic equations.

When a binomial expression involves a square term being subtracted from another square term, we can factorise it by using the difference of two squares method. This results in double brackets. Knowledge of square numbers is useful when factorising using this method.

Looking forward, students can progress with more factorising worksheets to additional algebra worksheets , for example a solving equations worksheet,   simultaneous equations worksheet , or a  rearranging equations worksheet.

For more teaching and learning support on Algebra our GCSE maths lessons provide step by step support for all GCSE maths concepts.

## GCSE Revision Cards: Substitution

Popular for gcse.

## Do you have KS4 students who need more focused attention to succeed at GCSE?

There will be students in your class who require individual attention to help them succeed in their maths GCSEs. In a class of 30, it’s not always easy to provide.

Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with our dedicated GCSE maths revision programme.

Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.

## Privacy Overview

Visual maths worksheets, each maths worksheet is differentiated and visual.

## KS3 and KS4 Factorising Worksheets

Maths Worksheets / Algebra Worksheets / KS3 and KS4 Factorising Worksheets

Our factorising worksheets are designed to help students conquer all types of equations. From expanding the brackets to factorising quadratics, our factorising expressions worksheets are all clearly presented and easy to follow. We have factor maths worksheets suitable for all abilities, and they are all supplied with answers to assess how well your child or pupil is doing, and highlight areas for revision.

We have a wealth of resources to improve students’ confidence answering all types of expanding and factorising maths questions. Algebra is unavoidable at school so make it enjoyable by using our factorising quadratics worksheets!

## Printable Factorising Maths Worksheets For Kids

At Cazoom Maths, our worksheets cover all factorising expressions problems students will come across during their time at school, and present this important information in a clear and engaging way. Take the fear out of factorising with our factorising equations worksheets!

## How Learning to Factorise Equations Benefits Students?

Factorising is a method for solving equations which is useful for GCSE students, more advanced students, and even professionals.

Factorising, as with many areas of algebra, can cause many students headaches. Learning how to expand brackets and factorise quadratics is an essential skill, and although students might complain that they will never need this information, what they don’t realise is that factorising is very important.

## Preparation for GCSE Maths and Further Study

Learning how to factorise expressions will help prepare students for their GCSE maths exams.

If students wish to study sciences after their GCSEs, they will need to know how to factorise. Using clearly presented maths worksheets will help familiarise students with the types of questions they will come across and enable them to feel confident when approaching factorising in GCSE maths or in their further studies.

## Use of Factorising in the Workplace

Those who work in the science or technology industries will use their algebra knowledge and factorising skills every day.

Within these industries, there are computer applications which solve equations and simplify expressions, but computer issues can occur, and in these cases staff will have to rely on the knowledge they learned in school. Students might not realise just how important factorising might be for them, so use engaging factorising worksheets  to help them gain confidence using this method.

## Get 20 FREE MATHS WORKSHEETS

Fill out the form below to get 20 FREE maths worksheets!

• N5 Maths Topics
• Schools & Tutors
• Exam Study Pack

Let the fantastic wealth of resources below teach you all about Factorising.

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Covers the whole of the National 5 Maths course

Created by an experienced maths teacher

Resources used with students studying Maths in Scottish Secondary Schools

Factorising

Welcome to  national5maths.co.uk

A sound understanding of  Factorising is essential to ensure exam success.

Passing N5 Maths significantly increases your career opportunities by helping you gain a place on a college course, apprenticeship or even landing a job. A ‘good’ pass at N5 Maths will set you up well for the fast paced  Higher Maths Course  next year should you be interested. Please do your very best to keep on top of your studies.

For students looking for extra help with the N5 Maths course you may wish to consider subscribing to the fantastic additional exam focused resources available in the  Online Study Pack .

To access a wealth of additional  free resources by topic  please either use the above  Search Bar  or click  HERE  selecting on the topic you wish to study.

We hope the resources on this website prove useful and wish you the very best of success with your N5 Maths course in 2024. Please find below:

3. Quadratics – Videos, PowerPoints & Mind Maps

4. N5 Maths Essential Skills

5. N5 Maths Exam Worksheets by Topic

6. Credit Maths Exam Worksheets by Topic

7. N5 Maths Exam Questions & Answers by Topic

8. N5 Maths 180 Booster Papers

9. N5 Maths Videos, PowerPoints, Mind Maps & Worksheets

10. N5 Maths SQA Past & Practice Papers

11. 100 N5 Maths Exam Questions & Answers

12. N5 Maths Exam Check Lists

13. N5 Maths Exam Focused Homework

14. N5 Maths Prelim Practice

15. N5 Maths Further Revision Practice

16. Credit & Int 2 Maths SQA Papers

17. 100 N5 Maths Lesson Starter Questions

18. N5 Maths – Applications Unit Practice Assessment

19. N5 Maths – Expressions & Formulae Unit Practice Assessment

20. N5 Maths – Relationships Unit Practice Assessment

21. N5 Maths Mind Maps

22. N5 Maths PowerPoints

23. Maths Websites (Including Games/Puzzles)

24. Recommended National 5 Maths Books

25. N5 Maths Online Study Pack  – Students looking for a ‘good’ Pass

## National 5 Maths Resources

Thanks to the SQA and authors for making the excellent resources below freely available. Please use the below for revision prior to assessments, tests and the final exam. Clear, easy to follow, step-by-step worked solutions to all Essential Skills worksheets and N5 Maths exam questions below are available in the  Online Study Pack.

To learn about Factorising please click on either of the  Theory links   Factorising (Common Factor),   Factorising (Difference of Two Squares) or  Factorising (Trinomials). Please also find in Sections 2 & 3 below videos, PowerPoints, mind maps and worksheets on this topic to help your understanding. The Essential Skills 7 & 10 worksheets, along with actual  SQA Exam Questions , are highly recommended. The three Worksheet links   Factorising Common Factor,   Factorising Difference of Two Squares  and  Factorising Trinomials  (answers included) are excellent resources to consolidate your learning.

If you would like more help understanding  Factorising there are clear, easy to follow, step-by-step worked solutions to dozens of N5 Maths Past & Practice exam questions on all topics in the Online Study Pack. Please give yourself every opportunity for success, speak with your parents, and subscribe to the exam focused Online Study Pack  today.

Shown below is an exam question in which factorisation is required.

Solve the equation 2x² + 7x – 15 = 0

Source: N5 Maths, Specimen, P1, Q4

Factorising is the opposite process of expanding brackets, for example:

•  Expanding brackets would require 2 ( x  +  1 ) to be written as 2 x  +  2
•  Factorisation would be to start with 2 x  +  2 and to end up with 2 ( x  +  1 ) .

You may be asked to factorise one of three different types shown below:

• Common Factor : 8 x –  14
• Difference of Two Squares : 9x² – 4y²
• Trinomials : x² – 6x + 9

Knowing the correct order in which to factorise is also essential. For example, the common factor (if one is present) must be removed prior to factorising the Difference of Two Squares or a Trinomial.

3. Quadratics – Videos, PowerPoints & Mind Maps

Thanks to the authors for making the excellent resources below freely available. Please use the below for revision prior to assessments, tests and the final exam.

Thanks to Mr G Rennie for making the excellent resources below freely available. The Essential Skills Worksheets can be used for general revision, homework, consolidation of a topic or preparation for assessments, tests and exams. Clear, easy to follow, step-by-step worked solutions to all 30 Essential Skills worksheets are available in the  Online Study Pack.

5. N5 Maths Exam Worksheets by Topic

Thanks to the SQA and authors for making the excellent resources below freely available. The worksheets by topic below are a fantastic study resource since they are actual SQA past paper exam questions. Clear, easy to follow, step-by-step worked solutions to all SQA N5 Maths Questions below are available in the  Online Study Pack.

. 6. Credit Maths Exam Worksheets by Topic

Thanks to the SQA and authors for making the excellent resources below freely available. In 2015 N5 Maths replaced  Credit Maths . The Credit worksheets by topic below are a fantastic additional study resource.

Thanks to the SQA and authors for making the excellent resources below freely available. Questions & answers have been split up by topic for your ease of reference. Clear, easy to follow, step-by-step worked solutions to all N5 Maths Questions below are available in the  Online Study Pack.

. 8. N5 Maths 180 Booster Papers

Thanks to maths180.com for making the excellent resources below freely available. Please use the below for revision prior to assessments, tests and the final exam.

Dozens of N5 Maths Videos, PowerPoints and Mind Maps provide quality lessons by topic. Also included are excellent revision worksheets, with actual SQA N5 Maths exam questions, to aid your understanding.   Please click on our  N5 Maths Videos & Worksheets  dedicated page.

10. N5 Maths SQA Past & Practice Papers

Thanks to the SQA and maths180.com for making the excellent resources below freely available. Clear, easy to follow, step-by-step worked solutions to all sixteen N5 Maths Past & Practice Papers below are available in the  Online Study Pack.

11. 100 N5 Maths Exam Type Questions & Answers

Thanks to the SQA and authors for making the excellent resources below freely available. Please try to do as many questions as possible, checking your answers as you go. If stuck, always ask your teacher for help as soon as possible. Clear, easy to follow, step-by-step worked solutions to all 100 N5 Maths Questions below are available in the Online Study Pack.

12. N5 Maths Exam Check Lists

Thanks to the SQA and authors for making the excellent resources below freely available. Please use the below for revision prior to assessments, tests and the final exam.

Thanks to the SQA and authors for making the excellent resources below freely available. The exercises below are a fantastic resource which can also be used for revision prior to assessments, tests and the final exam.

14. N5 Maths Prelim  Practice

Thanks to the SQA and authors for making the excellent resources below freely available. Please use the below for revision prior to assessments, tests and the final exam.

15. N5 Maths Further Revision  Practice

The excellent resources below are courtesy of Larkhall Academy. Please use the below for revision prior to assessments, tests and the final exam.

Thanks to the SQA for making the excellent resources below freely available. The SQA Past Papers below are a fantastic additional study resource.

17. 100 N5 Maths Lesson Starters

Thanks to the authors for making the excellent resources below freely available.

The start of the lesson is important for setting the tone. This is the time during the lesson for practising, revisiting and developing further those aspects of mathematics which need a ‘little but often’ approach. Additional Lesson Starters for S1 & S2 can be found by clicking on the Free S1 & S2 Home Page  HERE .

18. N5 Maths – Applications Unit Practice Assessment

19. N5 Maths – Expressions & Formulae Unit Practice Assessment

Thanks to the authors for making these freely available. Mind Maps are an excellent diagrammatic way of organising key ideas or concepts from lessons/text books.

22. N5 Maths PowerPoints

24. Recommended N5 Maths Books

The highly recommended National 5 Maths books below can be used with students to compliment the material on this website. Click on the links below and order both books through amazon.co.uk.

TJ N5 Maths Text Book

This above can be used as a free-standing National 5 book for students, possibly in Secondary 4, 5 or 6, who have previously successfully completed a CfE Level 4 course, or equivalent.

• TeeJay’s usual bight colourful pupil centred Textbook.
• Each exercise is graded with the more problematic questions at the end.
• National 5 Outcomes listed for easy reference
• Contains a Chapter Zero that Revises the contents of TeeJays CfE 4+ Book.
• Six Cumulative Home Exercises interspersed throughout the book.
• Six Non Calculator Exercises throughout the book.
• Each Chapter ends with a “Remember Remember” exercise as a summary.
• The book ends with a Revision Chapter, consolidating the whole of the National 5 Course.
• Contains a National 5 Specimen Paper 1 and Paper 2.

N5 Maths Success Guide

National 5 Mathematics Success Guide provides easy-to-use and value-for-money revision for all abilities and learning styles. Guidance on how the new National 5 course and assessments are structured is included. All the popular features of this tried and trusted series are retained in the new National 5 Guides.

• Colourful double-page spreads aid both comprehensive and revision planning • Topics are broken down into small, easily managed sections, complemented with lots of diagrams and illustrations to aid retention • Quick Tests and Top Tips help keep students focused on the exam’s precise demands • Revision checklists help students to manage and track their progress in the lead up to the exam • A glossary present all of the key terms and definitions essential for the exam

25. National 5 Maths Online Study Pack

Through step-by-step worked solutions to exam questions available in the Online Study Pack we cover everything you need to know about  Factorising   to pass your final exam.

For students looking for a ‘good’ pass at N5 Maths you may wish to consider subscribing to the fantastic additional exam focused resources available in the Online Study Pack. Subscribing could end up being one of your best ever investments.

Please give yourself every opportunity for success, speak with your parents, and subscribe to the exam focused Online Study Pack  today.

We hope you find this website useful and wish you the very best of success with N5 Maths in 2024.

## N5 Maths Study Pack

Click on the link below to purchase the Online N5 Maths Study Pack

## Higher Maths Website

Click on the link below to visit the Higher Maths website

## AH Maths Website

Click on the link below to visit the AH Maths website

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Hello, I am writing to thank you for your wonderful website! I subscribed when I was studying for my National 5 exam (as an adult learner) and found it invaluable. I am delighted to have just discovered the huge amount of resources for younger learners too. My son who is in S2 will benefit from these, now and in future, as will my daughter when she moves up to S1 after summer. So just wanted to say thanks very much! Kind regards, Clare.

Hey, Just wanted to say thank you so much for this amazing resource! Last year I was expecting to scrape a B in my N5 exam if I was lucky, and after discovering this website and working through it over the past year, my teacher said she’ll be surprised if I don’t get an A1!!! So once again, thank you so much!!!

Thanks for this fantastic website you have here. So well laid out, easy to follow and as a parent trying to help their child with studying. Only £20 for the Study Pack has been excellent value considering that many tutors charge £40 an hour. I will be continuing with this for Higher Maths and also for my younger child to ensure they are keeping up with the course. The worked solutions are so clear and easy to follow and I just cannot thank you enough. Wish there was something similar for the science subjects.

I got an ‘A’ in my National 5 Maths Exam! I’m very pleased as I did it my first attempt. Your website content definitely helped clarify and consolidate my understanding of the subject.

Just had a look at the worked solutions for the 2018 N5 Math Past Paper – Calculator was absolutely fine, but some tricky questions in non-calculator part, particularly 19b. We found the non-calculator paper much harder than five previous past papers. Anyway hopefully she has achieved an ‘A’ Pass and we will definitely be using your excellent site for Higher Maths next term.

E-mailing you guys know that you are doing a great job compiling all these excellent resources, it has been a great help to me and probably many many others. It has allowed me to get a reassuring prelim mark and has given me confidence for the final exam ( tomorrow ). Thanks for all the help and keep up the good work.

Hello, I decided to write to you to thank you for this website, it has helped me incredibly and the amount of content you have is amazing. I was very happy to discover the many practice papers you have as I had began to run out of papers to do once completed all the SQA past papers. The checklists for the three different units is very helpful and I will definitely be taking these to school with me on the day of my exam to look over! Thank you again for being so helpful to us, it is greatly appreciated and I will be placing any success I have during the National 5 exam on this website due to the endless resources and help you have available. Thank you 🙂 Emily, Nat 5 Maths student.

It is a great help to us this site, my daughter scored 86% in her prelim after doing the last 5 years past papers

Hi there – we found your site an amazing help for nat 5 – in fact my son went from a C grade at prelim to an A for his nat 5 thanks to you.  Thank you – the best £20 I’ve spent!

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An absolute godsend for my Nat 4  and Nat 5 classes.

Many thanks”.

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“The website is really good as it breaks the whole course down into easy to understand sections. I need to get A-Level Maths next year as I want to go to university and study engineering. I am really glad to have found this website to help me on my way.”

Salim, Secondary School Maths Student

## Not just Factorisation, but 70 other maths concepts covered in detail

Free resources to dozens of National 5 Maths topics are available by clicking on any of the links to the right.

• N5 Maths Whole Course
• N5 Maths Past Papers
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• Vectors & Coords 3-D

## For Students

To ensure your success in 2023/24 there is a wealth of fantastic additional N5 Maths exam focused resources for less than the cost of a text book.

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## GCSE Biology - Factors Affecting the Rate of Photosynthesis Activity Worksheet

Subject: Biology

Age range: 14-16

Resource type: Worksheet/Activity

Last updated

10 February 2024

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This resource is a GCSE Factors Affecting the Rate of Photosynthesis Activity Worksheet. It includes a set of questions and answers designed to enhance students’ understanding of the various factors that influence the rate of photosynthesis.

The worksheet guides students to:

• Match characteristics with the factors that affect photosynthesis, such as the amount of chlorophyll and light intensity.
• Understand how temperature and carbon dioxide concentration can impact plant photosynthesis.
• Analyse how plants adapt to low light conditions and what happens when enzymes are subjected to extreme temperatures.
• Consider the effects of increasing carbon dioxide concentration on the rate of photosynthesis and discuss the concept of limiting factors.
• Evaluate the point at which increasing a factor no longer affects the rate of photosynthesis, understanding the saturation point.

The included answer sheet allows students to check their own work and educators to assess student comprehension.

This resource is ideal for use in the classroom, as a homework exercise, or as a part of study materials for exams.

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## Not quite what you were looking for? Search by keyword to find the right resource:

#### IMAGES

2. Factorising with a single bracket

3. Factorising Single Brackets Differentiated Worksheet by MsMMaths

4. Factorising Match Up Worksheet

#### VIDEO

1. Factorising (Higher & Foundation)

2. Factorising

3. GCSE Maths

4. Factoring Trinomials & Polynomials, Basic Introduction

5. GCSE Maths

6. Algebra factorising (all 4 types) (common term/ quadratic equation/ difference of two squares)

1. Factorising worksheet

Age range: 14-16 Resource type: Worksheet/Activity File previews docx, 60.34 KB pptx, 441.18 KB Differentiated factorising worksheet, levels given. All the answers have been completed and are on a presentation. The worksheet also has a past GCSE question on it and a section for self-assessment. Enjoy! Creative Commons "Sharealike"

2. Expanding and factorising COLLECTION (Bundle)

Expanding and factorising COLLECTION (Bundle) Subject: Mathematics Age range: 14-16 Resource type: Lesson (complete) File previews pptx, 1.65 MB pptx, 745.78 KB pptx, 942.19 KB pptx, 679.77 KB pptx, 683.95 KB pptx, 819.15 KB pptx, 826.18 KB pptx, 857.5 KB pptx, 835.87 KB pptx, 1.08 MB pptx, 1.06 MB pptx, 1.29 MB pptx, 1.29 MB pdf, 31.63 KB

3. Factorising Linear Expressions Worksheet

Last updated 2 December 2014 Not quite what you were looking for? Search by keyword to find the right resource: A short differentiated worksheet on factorising linear expressions

4. Factorising

These worksheets ( with solutions) help students take the first steps and then strengthen their skills and knowledge of Factorising where the common factor is a number/letter combination.

5. GCSE Revision (Factorising)

pdf, 288.82 KB Ideal for GCSE revision, these worksheets contain exam-type questions that gradually increase in difficulty. These sheets cover Factorisation including factorising quadratics. These review sheets are great to use in class or as a homework. They are also excellent for one-to-one tuition and for interventions.

6. Resourceaholic: Algebra

Quadratic Areas Puzzle - Chritsopher on TES; Miscellaneous Factors - typed up by @InteractMaths ; See my blog post about factorising harder quadratics; Tap Top (includes questions with a > 1) - Median Don Steward; A level factorising worksheet - Solomon; Factorising Non-Monic Quadratics by Inspection - by me!

7. Factorising simple expressions worksheet (with solutions)

The topics covered by these worksheets include: * Simplifying expressions by collecting like terms * Expanding single brackets * Expanding double brackets * Factorising simple expressions * Factorising quadratic expressions * Solving linear equations * Solving quadratic equations * Operations with algebraic fractions * Linear inequalities * Quad...

8. Factorising

1.1 Single Bracket Basics 1.2 Brackets as Factors (AQA Level 2) 2.1 Factorising Quadratics 2.1.1 Factorising Quadratics (++) 2.1.2 Factorising Quadratics (-+) 2.1.3 Factorising Quadratics (negative c) 2.2 The Difference of Two Squares 2.3.1 Looking for Common Factors Before Factorising 2.3.2 Factorising When 'a' Does Not Equal 1

9. Factorising into single brackets: TES Maths Resource of the Week

A free rich task from TES Maths to challenge students skills at factorising into a single bracket

10. Factorising

Step 1 - Take out the largest common factor of both the numbers, and place it in front of the brackets. Factors of \textcolor {red} {3} are 1, \textcolor {blue} {3} Factors of \textcolor {red} {6} are 1, 2, \textcolor {blue} {3}, 6 The largest common factor is \bf {\textcolor {blue} {3}}

11. PDF Factorising into Single Brackets

3 2 Factorise the following expressions: 2(a) 2 2+12 [1 mark] Answer 2(b) 5 2+15 [1 mark] Answer 2(c) 64𝑚2+10𝑚 [1 mark] Answer 2(d) 99𝑝2+11𝑝 [1 mark] Answer 2(e) 34 2+30 [1 mark] Answer Turn over for next question Turn over 5

12. Factorising Practice Questions

Next: Decimal and Percentages Practice Questions GCSE Revision Cards. 5-a-day Workbooks

13. Factorising

1. Factorising single brackets Example of factorising an algebraic expression: Remember: 3x+6 is known as a binomial because it is an expression with two terms 2. Factorising double brackets a) When factorising quadratic expressions in the form x 2 + b x + c b) When factorising quadratic expressions in the form a x 2 + b x + c Remember:

14. Factorisation Textbook Exercise

Click here for Questions. factorising. Textbook Exercise. Previous: Trial and Improvement Textbook Exercise. Next: Factorising Quadratics 1 Textbook Exercise.

15. Factorising with a single bracket

This 2-sided worksheet is a good way to introduce/revise factorising with a single bracket. There is a brief introduction to explain the difference between "factorise" and "factorise fully", together with a few examples to work through as a class to illustrate the method for each type of question.

16. Factorising Worksheet

Section 1 of the factorising worksheet contains 21 skills-based factorising questions, in 3 groups to support differentiation Section 2 contains 3 applied factorising questions with a mix of worded problems and deeper problem solving questions

Question 1: Factorise each of the following x2 + 7x + 12 x2 + 6x + 8 x2 + 5x + 6 (e) x2 + 4x + 4 (f) x2 + 8x + 15 (g) x2 + 6x + 9 (i) x2 + 10x + 25 (j) x2 + 12x + 20 (k) x2 + 25x + 24 (m) x2 + 9x + 14 (n) x2 + 23x + 60 (d) x2 + 8x + 7 (h) x2 + 11x + 28 (l) x2 + 11x + 24 (o) x2 + 29x + 100 (p) x2 + 20x + 51

18. PDF Factoring By Grouping

Factoring By Grouping Date_____ Period____ Factor each completely. 1) 8 r3 − 64 r2 + r − 8 2) 12 p3 − 21 p2 + 28 p − 49 ... Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com. Title: Factoring By Grouping Author:

19. KS3 and KS4 Factorising Worksheets

Our factorising worksheets are designed to help students conquer all types of equations. From expanding the brackets to factorising quadratics, our factorising expressions worksheets are all clearly presented and easy to follow.

20. PDF Factorising Worksheet 1

FACTORISING WORKSHEET 1 Test 1 1 2a + 4 = 2 3b + 6 = 3 4c + 12 = 4 6d - 18 = 5 3e - 9 = 6 4f + 16 = 7 5g - 15 = 8 3h + 15 = 9 6j - 24 = 10 8k - 16 = Test 3 1 ab + 6a = 2 bg - 7b = 3 df + 5d = 4 fh + 10h = 5 gt + 4t = ... Free worksheets from www.kssmaths.co.uk ©2008. Title: 1 Author:

©M f2 q0P1 M2V kKTu xtja 0 nSRoYf8t Dw6aNr Ce L BLJL GCG.0 1 EA Qltl n Fr eiRg lh7t 8s7 frGeZsxeRrMvBeNdE. f F wMKaJd Zeb OwFiYtUhD OIDnufxi Fn Dijt 1e i 2Acl cg neub SrOag M2Y.U Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Factoring Quadratic Expressions Date_____ Period____

22. PDF Worksheet 2 6 Factorizing Algebraic Expressions

Worksheet 2:6 Factorizing Algebraic Expressions Section 1 Finding Factors Factorizing algebraic expressions is a way of turning a sum of terms into a product of smaller ones. The product is a multiplication of the factors. Sometimes it helps to look at a simpler case before venturing into the abstract. The number 48 may be written as a product in a

23. Factorisation

1. Quadratics - Worksheets 2. About Factorising 3. Quadratics - Videos, PowerPoints & Mind Maps 4. N5 Maths Essential Skills 5. N5 Maths Exam Worksheets by Topic 6. Credit Maths Exam Worksheets by Topic 7. N5 Maths Exam Questions & Answers by Topic 8. N5 Maths 180 Booster Papers 9. N5 Maths Videos, PowerPoints, Mind Maps & Worksheets 10.

24. GCSE Biology

This resource is a GCSE Factors Affecting the Rate of Photosynthesis Activity Worksheet. It includes a set of questions and answers designed to enhance students' und. International; Resources; ... Tes Global Ltd is registered in England (Company No 02017289) with its registered office at Building 3, St Paul's Place, Norfolk Street ...