Manipulating Formulae/ Changing the Subject

Tutorial Videos

Changing the Subject – Corbettmaths

Corbett Maths Changing the Subject (Up to 2:50)

Online Platforms (with videos and exercises)

Activities & Resources

• Andy Lutwyche
  • Rearranging (Inverse Operations) Codebreaker
  • Rearranging Simple Codebreaker
• Don Steward
  • Rearrangement Add/Take with Letters
  • Rearrangement Add/Take with Times/Share
  • Rearrangement Times/Share with Letters
  • Rearrangement Times/Share with Numbers
  • Rearrangement Add/Take with Numbers
  • Cuisenaire Statement Rearrangements
• Go Teach Maths
  • Manipulating Formulae
• BossMaths
  • A5a Rearranging Formulae to Change the Subject (Easy to harder; skills check)
• #TypedUp
  • Easy Literal Equations✦ (typed up by @mathsbox1)
• Ticktock Maths
  • Changing the Subject lesson (slides)

Worksheets

• Dr Austin Maths
  • Rearranging One- Practice Grid (Word | PDF | Answers)
  • Rearranging with Function Machines Fill in the Blanks (Word | PDF | Answers)
• Corbettmaths
  • Changing the Subject Practice Questions (Q1-4 Only), Solutions & Video Solutions
  • Changing the Subject Worksheet (Q1 Only) & Solutions
• Maths 4 Everyone
  • Rearranging Formulae One Step First Steps
  • Rearranging Formulae One Step Strengthen
  • Rearranging Formulae One Step Extend

Dr Frost Video

Key Skill – Change the subject of a linear formula requiring a single step.

K359: Change the Subject of a Linear Formula Requiring a Single Step.

Dr Frost Slides & Activities

• All in one summary sheet

Extra Questions

• Dr Frost Questions

Key Skills

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

• 201a: Change the subject of a linear formula requiring a single step.
• 201: Exam Practice: Changing the subject where the variable appears once only, excluding brackets

Tutorial Videos

Changing the Subject – Corbettmaths

Corbett Maths Changing the Subject (From 2:50)

Online Platforms (with videos and exercises)

Activities & Resources

• Ticktock Maths
  • Changing the Subject with Powers and Roots lesson (slides)

Worksheets

• Dr Austin Maths
  • Rearranging One- Practice Grid (Word | PDF | Answers)
• Corbettmaths
  • Changing the Subject Practice Questions, Solutions & Video Solutions
  • Changing the Subject Worksheet & Solutions

Dr Frost Video

(Includes Multi-Step)

Key Skill – Change the subject of a formula where the subject is squared.

K363: Change the Subject of a Formula Where the Subject is Squared.

Key Skill – Change the subject of a formula with a square root.

K364: Change the Subject of a Formula With a Square Root.

Dr Frost Slides & Activities

• Dr Frost Slides (4)

Key Skills

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

• 201f: Change the subject of a simple formula where the subject is squared.
• 201g: Change the subject of a simple formula with a power of the subject.
• 201h: Change the subject of a simple formula with a root of the subject.
• 201: Exam Practice: Changing the subject where the variable appears once only, excluding brackets

Tutorial Videos

Activities & Resources

• Pixi Maths
  • Rearranging Formulae ppt (Slides 1-14)
  • Rearranging Formulae Matching Activity
• Andy Lutwyche
  • Rearranging Matching
  • Barbie and Ken’s Rearranging
  • Clumsy Clive On Rearranging
  • Rearranging Explosions
  • Rearranging Spiders
  • Rearranging Codebreaker
  • Hulk Rearranging
• Math = Love (Sarah Carter)
  • Flowchart Method Organisers
  • Literal Equations Connect 4
  • Rearranging for y Foldable
  • Literal Equations Scavenger Hunt
• Don Steward
  • Change the Subject 3 · 2 · 1
  • Rearrangement Steps
  • Transforming a Statement
  • Linear Rearrangements
  • Harder Rearrangements Involving Numbers
• Go Teach Maths
  • Using Function Machines to Change the Subject of a Formula
  • Changing the Subject of a Formula: Without Factorisation

Worksheets

• Dr Austin Maths
  • Rearranging Two- Practice Grid (Word | PDF | Answers)
  • Rearranging Multi- Practice Grid (Word | PDF | Answers)
  • Harder Rearranging Practice Grid (Word | PDF | Answers)
  • Rearranging Scientific Practice Grid (Word | PDF✦ | Answers✦)
• Corbettmaths
  • Changing the Subject Advanced Practice Questions (Q1-6), Solutions & Video Solutions
  • Changing the Subject Worksheet (Q1 Only) & Solutions
• Maths 4 Everyone
  • Rearranging Formulae Two Steps First Steps
  • Rearranging Formulae Two Steps Strengthen 1 · 2
  • Rearranging Formulae Two Steps Extend
• CIMT MEP (online self-checking)
  • Using Formulae
• Miss Konstantine (MathsHKO)
  • Rearranging Formulae
• Maths Genie
  • Changing the Subject of a Formula: Booklet · Worksheet · Solutions · Lesson · Topic page
• Access Maths
  • Subject of a Formula Fluency & Reasoning Sheet
• MadAsMaths (T. Madas)
  • Equations Exam Questions I Q40 (difficulty 4 of 5)
  • Basic Skills Q47–50 · questions only
• Mr Morley Maths
  • Changing the Subject of a Formula: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
• Pret Homework (@MissBsResources)
  • Changing the Subject (@MissBsResources, pdf)
• Pret Homework (@EarlsHighMaths)
  • Rearranging Formulae (@EarlsHighMaths, pptx)

Dr Frost Video

Key Skill – Change the subject of a linear formula requiring two steps.

K360: Change the Subject of a Linear Formula Requiring Two Steps.

Key Skill – Change the subject of a linear formula with brackets.

K361: Change the Subject of a Linear Formula With Brackets.

Key Skill – Change the subject of a formula with fractions.

K362: Change the Subject of a Formula With Fractions.

Key Skill – Change the subject of a formula where the subject is squared.

K363: Change the Subject of a Formula Where the Subject is Squared.

Key Skill – Change the subject of a formula with a square root.

K364: Change the Subject of a Formula With a Square Root.

Dr Frost Slides & Activities

• All in one summary sheet

Extra Questions

• Dr Frost Questions

Key Skills

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

• 201b: Change the subject of a linear formula requiring two steps (including simple divisions).
• 201c: Change the subject of a formula where the subject is multiplied or divided by more than one constant or variable.
• 201d: Change the subject of a formula where the subject appears on the denominator of a fraction.
• 201e: Change the subject of a linear formula where the coefficient of the subject is negative.
• 260a: Change the subject of a linear formula involving multiplication using brackets.
• 260b: Change the subject of a linear formula requiring two steps resulting in a bracket.
• 260c: Change the subject of a formula with brackets and fractions.
• 260d: Change the subject of a formula where the subject is squared and with additional steps.
• 260e: Change the subject of a formula where the subject is cubed (or a higher power) and with additional steps.
• 260f: Change the subject of a formula with brackets and where the subject is raised to a power.
• 260g: Change the subject of a formula with brackets raised to a power.
• 260h: Change the subject of a formula with fractions and powers.
• 260i: Change the subject of a formula with roots and additional steps.
• 260j: Change the subject of a formula where the subject appears on the denominator of a fraction, resulting in a bracket.
• 260k: Change the subject of a formula where the coefficient of the subject is negative and the subject appears on the denominator of a fraction.
• 389k: Change the subject of a formula involving algebraic fractions, where the subject is in the denominator.
• 201: Exam Practice: Changing the subject where the variable appears once only, excluding brackets
• 260: Exam Practice: Changing the subject of a formula where the subject appears once only, including brackets, powers and roots
• 389: Exam Practice: Adding and subtracting algebraic fractions (no factorisation of denominators required)

Further Practice

• Practise Questions

Tutorial Videos

Changing the Subject Advanced

Corbett Maths Changing the Subject Advanced

Online Platforms (with videos and exercises)

Activities

• Pixi Maths
  • Rearranging Formulae ppt (Slides 15 Onwards)
• Acute Learning Problem Pairs
  • Level 2 FM: Rearranging Formulae as PowerPoint or PDF
• Go Teach Maths
  • Changing the Subject of a Formula: With Factorisation
• Ticktock Maths
  • Changing the Subject by Factorising lesson (slides)

Worksheets

• Dr Austin Maths
  • Harder Rearranging Practice Strips (Word | PDF | Answers)
  • Rearranging when Appears Twice Fill in the Blanks (Word | PDF | Answers)
  • More Rearranging Formula when Appears Twice Fill in the Blanks (Word | PDF | Answers)
  • Rearranging when Appears Twice Practice Strips (Word | PDF | Answers)
• Corbettmaths
  • Changing the Subject Advanced Practice Questions, Solutions & Video Solutions
  • Changing the Subject Worksheet & Solutions
  • Changing the Subject AQA Level 2 Practice Questions & Solutions
• Pixi Maths
  • Rearranging Formulae RAG
  • Rearranging Formulae Exam Questions
• Maths Genie
  • Rearranging Harder Formulae: Booklet · Worksheet · Solutions · Lesson · Topic page
• Naiker Maths
  • Rearranging Harder Formulae: Worksheet
• Access Maths
  • Rearranging Ratio into a Formula
• MadAsMaths (T. Madas)
  • Equations Exam Questions I Q48, 67 (difficulty 4–5 of 5)
  • Basic Skills Q51–54 · questions only

Dr Frost Video

Key Skill – Change the subject of a formula where the subject appears on the same side twice.

K572: Change the Subject of a Formula Where the Subject Appears on the Same Side Twice.

Key Skill – Change the subject of a formula where the subject appears on both sides.

K573: Change the Subject of a Formula Where the Subject Appears on Both Sides.

Key Skill – Change the subject of a formula where the subject appears twice on a fraction.

K574: Change the Subject of a Formula Where the Subject Appears Twice on a Fraction.

Key Skill – Change the subject of a formula where the subject appears twice with a square root.

K575: Change the Subject of a Formula Where the Subject Appears Twice With a Square Root.

Dr Frost Slides & Activities

• Slides & Worksheet

Topic Test

• Standard Test

Extra Questions

• Dr Frost Questions

Key Skills

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

• 391a: Change the subject of a formula where the subject appears on the same side twice.
• 391b: Change the subject of a formula where the subject appears on the same side twice as a square term.
• 391c: Change the subject of a formula where the subject appears on both sides.
• 391d: Change the subject of a formula where the subject appears twice on a fraction.
• 391e: Change the subject of a formula where the subject appears twice with a square root.
• 391f: Change the subject of a formula where the subject appears twice on a fraction as a term with power 2 or higher.
• 391g: Change the subject of a formula where the subject appears on both sides of the equation, with a fractional term on one side.
• 391h: Change the subject of a formula where the subject appears twice with a single fractional term on each side of the equation.
• 391i: Change the subject of the formula with multiple fractions, where the subject is in a numerator.
• 391j: Change the subject of the formula with multiple fractions, where the subject is in a denominator.
• 391: Exam Practice: Changing the subject of a formula where the subject appears multiple times

Further Practice

• Practise Questions

Tutorial Videos

Inverse Function of a Quadratic in Standard Form

Inverse Function of a Quadratic in Standard Form by Cowan Academy

How to find inverse of quadratic function with restricted domain

How to find inverse of quadratic function with restricted domain by Anil Kumar

Online Platforms (with videos and exercises)

Activities

Worksheets

• Dr Austin Maths
  • Inverse Functions with Completing the Square Practice Strips (Word | PDF | Answers)
• MadAsMaths (T. Madas)
  • Equations Exam Questions I Q56, 61, 69 (difficulty 4–5 of 5)

Dr Frost Video

Dr Frost Slides & Activities

• Slides & Worksheet

Topic Test

• Standard Test

Extra Questions

• Dr Frost Questions

Key Skills

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

• 436g: Determine the inverse function for a quadratic expression by completing the square.
• 436: Exam Practice: Inverse functions (excluding exponentials and modulus)

Further Practice

• Practise Questions

Acute Learning Problem Pairs

• Changing The Subject as PowerPoint or PDF

Worksheets

• Dr Austin Maths
  • Substitution and Rearranging Revision Practice Grid (Word | PDF | Answers)
• Maths 4 Everyone
  • Formulae GCSE Questions and Solutions
• Mathshelper (Jon Stone)
  • Changing Subject Of Formulae✦
• MathedUp
  • Changing the Subject: Worksheet · Practice · Quiz · Question Gallery
  • Rearranging Formulae: Worksheet · Practice · Quiz · Question Gallery
• Naiker Maths
  • Changing the Subject of a Formula: Worksheet
• Physics & Maths Tutor
  • Rearranging Formulae: Notes · Worksheet · Solutions
• MME
  • Rearranging Formulae (exam style): Questions | Answers  •  Rearranging Formulae (drill): Questions | Answers
• @taylorda01
  • Changing the subject questions✦ (answers✦)
• Dr Frost
  • Changing the Subject Full Coverage GCSE Questions✦
• IGCSE Maths Tutor
  • Changing the subject of a formula: online practice✦
• variationtheory.com
  • Rearranging formulae✦

Activities

• Math = Love (Sarah Carter)
  • Literal Equations activities
• Intervention Tasks
  • Find the Mistake + Your Turn to Try (PDF)
• NRICH (student problems)
  • Equations & Formulae (Age 11-14): Problems
  • Equations & Formulae (Age 11-14): Short Problems
  • Equations & Formulae (Age 14-16): Problems
  • Equations & Formulae (Age 14-16): Short Problems
• Resourceaholic
  • Rearranging Formulae
• Mathspad
  • Visual Approach to Rearranging Formulae✦
• Algebra 1 Coach
  • Literal Equations Maze
• Don Steward
  • Rearrangement Quiz Questions✦
  • Harder Rearranging
• The Chalkface
  • Gunshot formula manipulation: PDF
  • Changing the subject activity✦
• Transum
  • Changing The Subject
• variationtheory.com
  • Rearranging formulae variation✦
• Jo Morgan
  • Changing the subject of science formulae✦
• Nuffield Foundation
  • Rearranging formula✦ (sorting cards✦, notes✦, ppt✦)