Compound Measures

Tutorial Videos

Density – Corbettmaths

Corbett Maths Density

Population Density – Corbettmaths

Corbett Maths Population Density

Speed, Distance and Time

Corbett Maths Speed, Distance & Time

Pressure – Corbettmaths

Corbett Maths Pressure

Online Platforms (with Videos & Exercises)

Activities & Resources

• Pixi Maths
  • Speed, Distance and Time ppt
  • Mass, Density and Volume ppt
  • Pressure, Force and Area ppt
• Andy Lutwyche
  • Codebreaker
  • Clumsy Clive
  • Spiders
  • Distance, Time Codebreaker
  • Crack The Safe – Units, Time
  • Codebreaker (2)
  • Codebreaker (3)
  • Population Density Codbreaker
  • Pressure Codbreaker
  • Defuse The Bomb
  • Codebreaker (4)
  • Barbie and Ken's Road Trip
  • Usain's Bolt Across London – KS3 / GCSE
  • Calculating With The Speed Of Sound
  • SSDD Easter: Easter Bunny
• Don Steward
  • Density with Grids
  • Population Density of Grids
  • Speeding✦
  • Ratio in Car Parks
• The Chalkface
  • Snow Area: PowerPoint
  • Melting the Eiffel Tower: PDF
  • All the Gold: PDF
  • Pencil Raft: PowerPoint
  • Eureka: PDF
  • Speed: PDF
  • Lightning Fast: PDF
  • Light and Sound: PDF · PowerPoint
• Transum
  • Compound Units
  • Speed Skills
• Goal Free Problems
  • Foundation Geometry & Measures set Q5 | Higher Geometry & Measures set Q1, Q10, Q12
• Go Teach Maths
  • Density, Mass & Volume
  • Population Density
  • Pressure, Force & Area
  • Speed, Distance & Time
• variationtheory.com
  • Finding speed✦
• BossMaths
  • Using compound units✦
• Ticktock Maths
  • Calculating speed lesson (slides)

Worksheets

• Dr Austin Maths
  • Distance and Time Practice Strips (Word | PDF | Answers)
  • Distance and Time Calculations Practice Strips (Word | PDF | Answers)
  • Mixed Speed Calculations Practice Strips (Word | PDF | Answers)
  • Calculations Fill in the Blanks (Word | PDF | Answers)
  • Harder Speed Calculations Fill in the Blanks (Word | PDF✦ | Answers✦)
  • Calculations Match-Up (Word | PDF | Answers)
  • Multi-Step Speed Calculations Practice Strips (Word | PDF | Answers)
  • Converting Metric Units of Speed Practice Grid (Word | PDF | Answers)
  • Pressure Practice Strips (Word | PDF | Answers)
  • Sporting Speeds Calculations Activity (Word | PDF | Answers)
  • Harder Speed Calculations Practice Grid (Word | PDF | Answers)
  • Pressure Fill in the Blanks (Word | PDF | Answers)
  • Mass and Volume Practice Grid (Word | PDF | Answers)
• Corbettmaths
  • Density Practice Questions & Solutions
  • Density Worksheet & Solutions
  • Speed, Distance, Time Practice Questions & Solutions
  • Speed, Distance, Time Worksheet & Solutions
  • Pressure Practice Questions & Solutions
  • Pressure Worksheet & Solutions
• Pixi Maths
  • Speed Distance Time RAG
  • Speed Distance Time Extension Task
  • Mass Density Volume RAG
  • Mass Density Volume Extension Task
  • Pressure Force Area RAG
• CIMT MEP (online self-checking)
  • Density
  • Speed
  • Calculating Speed, Distance and Time
• Maths Genie
  • Speed and Density: Booklet · Worksheet · Solutions · Lesson · Topic page
• MME
  • Speed, Distance, Time (exam style): Questions | Answers  •  Speed, Distance, Time (drill): Questions | Answers  •  Density, Mass, Volume (exam style): Questions | Answers  •  Pressure, Force, Area (exam style): Questions | Answers  •  Density & Pressure (drill): Questions | Answers
• Jo Morgan
  • Density questions from Linked Pair GCSE✦
• MadAsMaths (T. Madas)
  • Practical Arithmetic Problem Solving Q25 (difficulty 4 of 5)
• @taylorda01
  • Speed, distance, time questions✦ (answers✦)
  • Speed, distance, time questions II✦ (answers✦)
  • Density, mass, volume questions✦ (answers✦)
• Starting Points Maths
  • Speed, Distance, Time (by Segar Rogers) · PDF
• Mr Morley Maths
  • Compound Units: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
• Pret Homework (Jo Morgan)
  • Speed Distance Time✦ (Jo Morgan, docx)

Dr Frost Video

Key Skill – Find the average speed given the distance and time.

K512: Find the Average Speed Given the Distance and Time.

Key Skill – Find the distance given the average speed and time.

K513: Find the Distance Given the Average Speed and Time.

Key Skill – Find the time given the average speed and distance.

K514: Find the Time Given the Average Speed and Distance.

Key Skill – Find the density given the mass and the volume.

K517: Find the Density Given the Mass and the Volume.

Key Skill – Find the mass given the density and the volume.

K518: Find the Mass Given the Density and the Volume.

Key Skill – Find the volume given the density and the mass.

K519: Find the Volume Given the Density and the Mass.

Dr Frost Slides & Activities

Dr Frost Slides (1-4 & 10)

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

• 325c: Calculate the average speed given the distance and time.
• 325d: Calculate the average speed when the time is given in hours and minutes.
• 325e: Calculate the distance given the average speed and time.
• 325f: Calculate the time given the average speed and distance.
• 325g: Calculate the end time on a 12 or 24 hour clock using a calculation involving speed, distance and time.
• 325h: Calculate a speed or distance using a timetable.
• 325j: Calculate speed or time using the perimeter of a shape.
• 328a: Calculate the density given the mass and the volume.
• 328b: Calculate the mass given the density and the volume.
• 328c: Calculate the volume given the density and the mass.
• 328d: Solve problems involving mass, density and volume of a cuboid or prism (excluding cylinders).
• 328e: Solve problems involving mass, density and volume of a cylinder.
• 329a: Calculate pressure, force or area where two of the values are provided.
• 329c: Solve problems involving pressure, force and area involving a surface or 3D shape.
• 330a: Calculate general compound measures, such as rate of flow.
• 325: Exam Practice: Speed calculations for a single journey
• 328: Exam Practice: Density
• 329: Exam Practice: Pressure
• 330: Exam Practice: Other compound measures (excluding speed, pressure and density)

Tutorial Videos

How To Convert From Km/hr to m/s and m/s to Km/hr – With Shortcut!

How To Convert From Km/hr to m/s and m/s to Km/hr – With Shortcut! by The Organic Chemistry Tutor

Conversions and Units

Conversions and Units by Maths Genie

How to Convert g/cm3 to kg/m3 (And NEVER BE WRONG AGAIN)

How to Convert g/cm3 to kg/m3 (And NEVER BE WRONG AGAIN) by Gradefruit

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Rate conversion: Videos & practice

Activities

• Andy Lutwyche
  • Converting Codebreaker
• Go Teach Maths
  • Converting Speeds
• BossMaths
  • R1a Standard & Compound Units

Worksheets

• CIMT MEP (online self-checking)
  • Problems with Mixed Units

Dr Frost Slides & Activities

Dr Frost Slides (5)

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

• 325a: Convert from hours or minutes with a decimal part.
• 325b: Convert from hours and minutes or minutes and seconds to a decimal.
• 325i: Solve problems involving speed with unit conversions
• 328f: Solve problems using mass, density and volume, involving mixed units.
• 329b: Calculate pressure, force or area where two of the values are provided and have mixed units.
• 329d: Solve problems involving pressure, force and area involving a surface or 3D shape, involving mixed units.
• 330b: Determine the time to fill or empty a container given the rate of flow.
• 330c: Solve problems involving rate of flow in more complex solids.
• 331a: Convert between compound measures where only the first unit changes.
• 331b: Convert between compound measures where only the second unit changes.
• 331c: Convert between compound measures where both units change.
• 331d: Convert between m/s and km/h.
• 331e: Convert between N/cm² and N/m²
• 331f: Convert between g/cm³ and kg/m³
• 325: Exam Practice: Speed calculations for a single journey
• 328: Exam Practice: Density
• 329: Exam Practice: Pressure
• 330: Exam Practice: Other compound measures (excluding speed, pressure and density)
• 331: Exam Practice: Convert between units for compound measures

Tutorial Videos

Speed, Distance & Time – Journey Mixtures | Grade 5+ Series | GCSE Maths Tutor

Speed, Distance & Time – Journey Mixtures by The GCSE Maths Tutor

Density, Mass & Volume – Mixtures | Grade 6+ Series | GCSE Maths Tutor

Density, Mass & Volume – Mixtures | Grade 6+ Series | GCSE Maths Tutor by The GCSE Maths Tutor

Average Speed with 2 or more speeds in a trip

Average Speed with 2 or more speeds in a trip by Davidson Online Math

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Using units to solve problems: Videos & practice

Activities & Resources

• Pixi Maths
  • Problem Solving with Compound Measures ppt
• Don Steward
  • Decreasingly Speedy
• Goal Free Problems
  • Higher Number set Q13 (original questions)
• Go Teach Maths
  • 2-Stage Journeys
  • Relative Speeds

Worksheets

• Pixi Maths
  • Combining Compound Measures RAG Printable Booklet
  • Combining Compound Measures RAG Word Doc
• Self Marking Sheets by Phil Rhodes
  • Compound Measures including double journeys and mixed liquids/alloys Excel File
• MadAsMaths (T. Madas)
  • Practical Arithmetic Problem Solving Q24, 28 (difficulty 4–5 of 5)

Dr Frost Video

Key Skill – Find the average speed by combining two parts of a journey.

K515: Find the Average Speed by Combining Two Parts of a Journey.

Dr Frost Slides & Activities

Dr Frost Slides (7-12)

Topic Tests

• 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

• 326a: Determine the speed, distance or time in the second part of a journey.
• 326b: Determine the average speed by combining two parts of a journey.
• 326c: Use a speed, distance or time calculation from one journey to make a calculation about another journey.
• 328g: Solve problems involving two densities.
• 540a: Determine the average speed when travelling the outward and return journeys at different fixed speeds. (not yet active)
• 540b: Determine the average of various compound measures, including density and rate of work, where the first quantity is fixed for each rate. (not yet active)
• 540e: Determine the time taken to complete a task given the combined contribution of multiple workers/sources/machines. (not yet active)
• 326: Exam Practice: Speed calculations for multiple journeys or a journey in stages
• 328: Exam Practice: Density
• 540: Exam Practice: Average of rates and sum of rates

Acute Learning Problem Pairs

• Compound measures as PowerPoint or PDF
• Rates of flow/work as PowerPoint or PDF

Worksheets

• Dr Austin Maths
  • Revision Practice Grid (Word | PDF | Answers)
• Maths 4 Everyone
  • Density GCSE Questions and Solutions
  • Speed, Distance and Time GCSE Questions and Solutions
• Mathshelper (Jon Stone)
  • Rates Questions
• MathedUp
  • Compound Measures: Worksheet · Practice · Quiz · Question Gallery
• Mathsaurus (Kevin Olding)
  • Speed, distance and time (exam questions)
• Physics & Maths Tutor
  • Standard and Compound Units: Notes · Worksheet · Solutions

Activities

• NRICH (student problems)
  • Ratio, Proportion & Rates of Change (Age 11-16): Problems
  • Ratio, Proportion & Rates of Change (Age 11-16): Short Problems
• Don Steward
  • Compound Measures✦
• The Chalkface
  • Indy 500 Speed: PDF
  • Niagara Falls: PowerPoint
• Access Maths
  • Formula Tetrahedron: Compound Measures