Prior Content: Pythagoras, Basic Trigonometry, Angles in Polygons
Possible Next Steps: Prisms, Volume & Surface Area, Upper & Lower Bounds, Circles & Sectors, Advanced Trigonometry, Similar Shapes, Transformations of Shapes, Time-Series
Contents
- 1.1 Squares & Rectangles Area
- 1.2 Basic Perimeter
- 1.3 Compound Rectangular Shapes
- 2.1 Area of a Triangle
- 3.1 Area of a Parallelogram
- 3.2 Area of a Trapezium
- 4.1 Compound Shapes
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Squares & Rectangles Area
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Area of Rectangles
Corbett Maths Area of a Shape on a Grid
Online Platforms (with Videos & Exercises)
- Khan Academy
- Area of rectangles: Videos & practice
Activities & Resources
- Pixi Maths
- Andy Lutwyche
- Don Steward
- The Chalkface
- Counting Squares: Excel (if macros are blocked: right-click the file › Properties › tick Unblock)
- PhET Interactive Simulations
- PhET Area Builder Interactive Simulation (embedded below)
- Transum
- Access Maths
- Area & Perimeter Activities: Area & Perimeter Match Cards | How Close to 100? Rectangle Area Game
- Area of Rectangles Fluency & Reasoning Sheet
- Interactive Maths
- Perimeter & Area: GeoGebra
- Go Teach Maths
- BossMaths
- Grid Number (Dave Hewitt & Jonathan Hall)
- Rectangle Areas 1 (interactive) · PDF · Word
- Rectangle Areas 2 (interactive) · PDF · Word
Worksheets
- Dr Austin Maths
- Corbettmaths
- Area of Rectangles Practice Questions & Solutions
- Area of Rectangles Worksheet & Solutions
- Area & Perimeter on a Grid Practice Questions & Solutions
- Area on a Grid Worksheet & Solutions
- Pixi Maths
- Self Marking Sheets by Phil Rhodes
- Area & Perimeter of rectangular shapes Excel File
- CIMT MEP (online self-checking)
- Pret Homework (@Stacy_Maths)
- Area of Rectangles (@Stacy_Maths, pptx)
Dr Frost Resources
Dr Frost Videos
K114: Find the Area of a Rectangle.
K115: Find a Side of a Rectangle Given its Area.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced 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
- 138a: Calculate the area of a rectangle.
- 138b: Calculate the area of a square.
- 138c: Calculate a side of a rectangle given its area.
- 138d: Calculate a side of a square given its area.
- 138e: Determine the perimeter of a rectangle given its area and one side length.
- 138f: Determine the perimeter of a square given its area.
- 138g: Determine the whole number of small rectangles that can fit exactly within a larger one.
- 138h: Determine an area given a perimeter of a rectangle or square.
- 138i: Calculate a cost based on the area of a rectangle.
- 138k: Solve problems involving tiling congruent rectangles within a larger rectangle.
- 418a: Form (and solve) a quadratic equation or expression from the area of a rectangle.
- 138: Exam Practice: Area of a rectangle by using the formula
- 418: Exam Practice: Forming and solving quadratic or non-linear expressions or equations from a given context (excluding probability problems)
Further Practice
- Practise Questions
Extension Materials
Worksheet
1.2 Basic Perimeter
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Perimeter (including Compound Shapes)
Corbett Maths Perimeter on a Grid
Online Platforms (with Videos & Exercises)
- Khan Academy
- Perimeter: Videos & practice
Activities & Resources
- Maths 4 Everyone
- Pixi Maths
- Andy Lutwyche
- Don Steward
- Interactive Maths
- Perimeters: GeoGebra
- Go Teach Maths
- BossMaths
- Ticktock Maths
- Perimeter lesson (slides)
Worksheets
- Corbettmaths
- Perimeter Practice Questions & Solutions
- Perimeter Worksheet & Solutions
- Area & Perimeter on a Grid Practice Questions & Solutions
- Perimeter on a Grid Worksheet & Solutions
- Pixi Maths
- CIMT MEP (online self-checking)
- Miss Konstantine (MathsHKO)
- Access Maths
- MME
- @taylorda01
- Mr Morley Maths
- Perimeter of 2D Shapes: Notes jotter/worksheet · Exam questions · Mark scheme
- Pret Homework (James Male)
- Perimeter (James Male, pptx)
- Pret Homework (@nickiperfect)
- Area and Perimeter (@nickiperfect, pdf)
Dr Frost Resources
Dr Frost Videos
K110: Find the Perimeter of a 2D Shape by Adding Lengths.
K111: Find the Perimeter of a Rectangle.
K112: Find a Side of a Rectangle Given its Perimeter.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced 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
- 79a: Calculate the perimeter of a 2D shape by adding lengths.
- 79b: Calculate the perimeter of a regular polygon given one of its sides.
- 79c: Calculate the perimeter of a rectangle.
- 79d: Calculate the perimeter of an isosceles triangle.
- 79e: Calculate the side length of a regular polygon given its perimeter.
- 79f: Calculate a side length of a rectangle given its perimeter.
- 79g: Calculate a side length within an isosceles triangle given its perimeter.
- 79h: Determine the perimeter of a regular polygon given a shared side with another shape.
- 79i: Determine lengths in a square, rectangle, or an equilateral or isosceles triangle, given that two shapes have the same perimeter.
- 79j: Determine lengths in a square, rectangle, or an equilateral or isosceles triangle, given one shape’s perimeter is a multiple of the other. (not yet active)
- 79k: Determine lengths of a rectangle or square formed by splitting or putting together other rectangles, squares or triangles.
- 79: Exam Practice: Perimeter of a 2D shape by adding lengths
Further Practice
- Practise Questions
Extension Materials
Worksheet
Activities
- Miss Konstantine Rectangle Perimeter investigation
- Dan Draper Perimeter Overlearning✦ using equal length notation ppt
- Mr Draper Maths Perimeter Part 1: Seeing
1.3 Compound Rectangular Shapes
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Area of an L-Shape
Corbett Maths Perimeter (including Compound Shapes)
Online Platforms (with Videos & Exercises)
- Khan Academy
- Compound shapes made of rectangles: Videos & practice
Activities & Resources
- Pixi Maths
- Area and Perimeter ppt (Slides 1-7)
- Area and Perimeter Starter
- Don Steward
- Goal Free Problems
- Mr Draper Maths “Area’s Just Times”
- Mr Draper Maths Reasoning With Lengths
- Go Teach Maths
- Pondering Planning in Mathematics (Paul Rowlandson)
- Many Methods: One Topic (compound rectangle areas) (blog post) · slides
Worksheets
- Corbettmaths
- Area of Compound Shapes Practice Questions & Solutions
- Area of an L-Shape Worksheet & Solutions
- Pixi Maths
- CIMT MEP (online self-checking)
- Miss Konstantine (MathsHKO)
Dr Frost Resources
Dr Frost Videos
K113: Find the Area of Rectilinear Shapes by Counting Squares.
K116: Find the Perimeter of a Composite Rectilinear Shape.
K118: Find the Area of a Composite Rectilinear Shape.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced 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
- 80b: Determine the area of rectilinear shapes by counting squares.
- 138j: Determine a length in a composite rectangular shape using its area.
- 180a: Find the perimeter of a composite rectilinear shape.
- 180b: Find the perimeter of shapes made from several congruent rectangles.
- 181a: Find the area of a composite rectilinear shape where all side lengths are given.
- 181b: Find the area of a composite rectilinear shape where some side lengths are unknown.
- 181c: Determine a length in a rectilinear shape using its area.
- 181d: Determine a cost or quantity required associated with a composite rectilinear shape.
- 418c: Form (and solve) a quadratic equation or expression from the area of a more complex rectilinear shape.
- 80: Exam Practice: Area of shapes by counting squares
- 138: Exam Practice: Area of a rectangle by using the formula
- 180: Exam Practice: Perimeter of rectilinear shapes
- 181: Exam Practice: Area of composite rectilinear shapes
- 418: Exam Practice: Forming and solving quadratic or non-linear expressions or equations from a given context (excluding probability problems)
Further Practice
- Practise Questions
Extension Materials
Worksheet
2.1 Area of a Triangle
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Area of a Triangle
Online Platforms (with Videos & Exercises)
- Khan Academy
- Area of triangles: Videos & practice
Activities & Resources
- Pixi Maths
- Area and Perimeter ppt (Slides 8-11)
- Andy Lutwyche
- Don Steward
- Transum
- Interactive Maths
- Area of a Triangle: GeoGebra
- Go Teach Maths
- thewessens.net Classroom Apps
- Triangle Area (see why a triangle is half the surrounding rectangle)
- Investigating triangle area✦
- BossMaths
- Math Is Visual
- SMILE
- Right-angled triangle areas✦ (original by SMILE; copy hosted on Jo Morgan’s Drive)
- Ticktock Maths
- Area of Triangles lesson (slides)
Worksheets
- Dr Austin Maths
- Corbettmaths
- Area of a Triangle Practice Questions & Solutions
- Area of a Triangle Worksheet & Solutions
- Self Marking Sheets by Phil Rhodes
- Area of 2D shapes (Parallelogram, Triangle & Trapezium) Excel File
- CIMT MEP (online self-checking)
- Kuta Software
- Access Maths
- Starting Points Maths
- Area of a Triangle (by Kyle Gillies) · PDF
- Mr Morley Maths
- Area of a Triangle: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
Dr Frost Resources
Dr Frost Videos
K119: Find the Area of a Triangle.
K120: Find the Base or Height of a Triangle Given its Area.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced 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
- 140a: Find the area of a triangle.
- 140b: Find the base or height of a triangle given its area.
- 140c: Find the area of a triangle given the base, the height and another length.
- 140: Exam Practice: Area of a triangle
Further Practice
- Practise Questions
Extension Materials
Other Videos & Multimedia
Corbett Maths Area of a Regular Hexagon
Worksheet
- Corbettmaths
- Area of a Regular Hexagon Practice Questions & Solutions
- Area of a Regular Hexagon Worksheet & Solutions
3.1 Area of a Parallelogram
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbettmaths Area of a Parallelogram
Online Platforms (with Videos & Exercises)
- Khan Academy
- Area of parallelograms: Videos & practice
Activities & Resources
- Pixi Maths
- Area and Perimeter ppt (Slides 12-48)
- Don Steward
- Transum
- Interactive Maths
- Area of a Parallelogram: GeoGebra
- Go Teach Maths
- BossMaths
- Mr Thompson Maths
- Ticktock Maths
- Pondering Planning in Mathematics (Paul Rowlandson)
- Thinking About Areas of Parallelograms✦ (blog post) · slides
Worksheets
- Dr Austin Maths
- Corbettmaths
- Area of a Parallelogram Practice Questions & Solutions
- Area of a Parallelogram Worksheet & Solutions
- Kuta Software
- Access Maths
- Starting Points Maths
- Area of a Parallelogram (by Kyle Gillies) · PDF
- Mr Morley Maths
- Area of Quadrilaterals: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
Dr Frost Resources
Dr Frost Videos
K296: Find the Area of a Parallelogram.
K297: Find the Base or Height of a Parallelogram Given its Area.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced 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
- 139a: Calculate the area of a parallelogram.
- 139b: Calculate the area of a parallelogram requiring subtraction of lengths.
- 139c: Calculate the base or height of a parallelogram given its area.
- 139d: Calculate the area of a parallelogram given the base, the height and another length.
- 183a: Calculate the area of a kite involving right-angles.
- 183b: Calculate the area of a kite given the length of its two diagonals.
- 139: Exam Practice: Area of a parallelogram
- 183: Exam Practice: Area of kites
Further Practice
- Practise Questions
Extension Materials
Worksheet
3.2 Area of a Trapezium
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Area of a Trapezium
Online Platforms (with Videos & Exercises)
- Khan Academy
- Area of composite shapes (including trapezia): Videos & practice
Activities & Resources
- Pixi Maths
- Area and Perimeter ppt (Slides 49-53)
- Don Steward
- The Chalkface
- Adidas Area: PDF
- Transum
- Interactive Maths
- Area of a Trapezium: GeoGebra
- Go Teach Maths
- BossMaths
- Interwoven Maths
- Areas of trapeziums interwoven✦ (by Karen Hancock)
- Mr Thompson Maths
- Ticktock Maths
- Area of Trapeziums lesson (slides)
- NCETM
- NCETM Key Idea: The area of a trapezium (PowerPoint)
Worksheets
- Dr Austin Maths
- Corbettmaths
- Area of a Trapezium Practice Questions & Solutions
- Area of a Trapezium Worksheet & Solutions
- Pixi Maths
- CIMT MEP (online self-checking)
- Kuta Software
- Access Maths
Dr Frost Resources
Dr Frost Video
K299: Find the Area of a Trapezium.
K300: Find a Length in a Trapezium Given its Area.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced 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
- 184a: Calculate the area of a trapezium.
- 184b: Determine a length in a trapezium given its area.
- 184c: Solve problems involving cost with the area of a trapezium.
- 184d: Determine the length or area within a compound shape involving or forming a trapezium.
- 184e: Determine the length or area within a compound shape formed by two polygons (one non-rectangular), given the total area.
- 418d: Form (and solve) a quadratic equation or expression from the area of a trapezium.
- 418e: Form (and solve) a quadratic equation or expression for the area of a trapezium inside a rectangle.
- 184: Exam Practice: Area of trapeziums
- 418: Exam Practice: Forming and solving quadratic or non-linear expressions or equations from a given context (excluding probability problems)
Further Practice
- Practise Questions
Extension Materials
Worksheet
4.1 Compound Shapes
Teaching Videos, Exercises & Activities
Tutorial Videos
Finding the area of compound shapes by Maths Genie
Finding the Area of a Composite Figure | Area of Composite Rectangles by Math with Mr. J
Finding the Perimeter and Area of a Composite Shape by Math with Mr. J
Corbett Maths Area of Compound Shapes
Online Platforms (with Videos & Exercises)
Activities & Resources
- Andy Lutwyche
- Don Steward
- The Chalkface
- Shack Area: PDF · PowerPoint
- Transum
- Interactive Maths
- Area of Compound Shapes: GeoGebra
- Goal Free Problems
- Go Teach Maths
- MathsPad
- Interwoven Maths
- L shapes with fractions✦ (by Nathan Day)
- Nuffield Foundation
- BossMaths
- Owen134866
Worksheets
- Dr Austin Maths
- 2D Practice Strips (Word | PDF | Answers)
- 2D Crack the Code (Word | PDF | Answers✦)
- 2D Practice Strips (Word | PDF | Answers)
- Practice Strips (Word | PDF | Answers)
- Harder Compound Shapes Practice Strips (Word | PDF | Answers)
- Worded Problems Practice Strips (Word | PDF | Answers)
- 2D Sort It Out (Word | PDF | Answers)
- Corbettmaths
- Area of Compound Shapes Practice Questions & Solutions
- Area of Compound Shapes Worksheet & Solutions
- Miss Konstantine (MathsHKO)
- Maths Genie
- Area of Compound Shapes: Booklet · Worksheet · Solutions · Lesson · Topic page
- Access Maths
- Area Crossover Problems: Functional Area Problem | Accompany Sheet | Compound Area Problem | Accompany Sheet
- 1st Class Maths
Dr Frost Resources
Dr Frost Video
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced 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
- 182a: Calculate the area of a composite shape involving a triangle and a rectangle, given all lengths.
- 182b: Determine the area of a composite shape involving a triangle and a rectangle and unknown side lengths.
- 182c: Determine the area of a composite shape involving a triangle and a rectangle, and the area of a simple part.
- 182d: Determine a length in a composite shape involving a triangle and a rectangle, and the total area.
- 182e: Determine the area of a non-standard quadrilateral drawn on a square grid.
- 182f: Determine the area of a triangle or a rotated rectangle inside another rectangle.
- 182g: Solve problems involving dividing the area of a rectilinear shape for a given quantity.
- 182h: Solve problems involving dividing the area of a rectilinear shape and calculating costs.
- 182i: Determine the area of a pentagon formed from a rectangle and a triangle.
- 182j: Determine the area of a pentagon or hexagon formed from a rectangle and a trapezium.
- 182k: Determine the area of a hexagon formed from a rectangle and two triangles.
- 185a: Determine the area of a rectangle with the same perimeter as a triangle.
- 185b: Determine the side length or perimeter of a rectangle with the same area as a triangle.
- 185c: Determine the base or height of a triangle with the same area as a rectangle.
- 185d: Determine the side lengths of rectangles and triangles with related areas.
- 185e: Determine the side lengths of rectangles and trapezia with related areas.
- 185f: Determine the side lengths of triangles and trapezia with related areas.
- 418f: Form (and solve) a quadratic equation or expression by equating the area of two shapes.
- 182: Exam Practice: Area of composite shapes using rectangles and triangles
- 185: Exam Practice: Related shape problems
- 418: Exam Practice: Forming and solving quadratic or non-linear expressions or equations from a given context (excluding probability problems)
Further Practice
- Practise Questions
Extension Materials
Worksheet
Whole Topic Summary Resources (Including Past Paper Questions)
Download 2D Area & Perimeter PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Other Whole Topic Resources
Acute Learning Problem Pairs
- Area as PowerPoint or PDF
- Perimeter as PowerPoint or PDF
Worksheets
- Maths 4 Everyone
- Andy Lutwyche
- MathedUp
- Area & Perimeter: Worksheet · Practice · Quiz · Question Gallery
- Maths Genie
- Area and Perimeter: Booklet · Worksheet · Solutions · Lesson · Topic page
- Mathsaurus (Kevin Olding)
- Physics & Maths Tutor
- MME
- 1st Class Maths
- @taylorda01
Activities
- Math = Love (Sarah Carter)
- NRICH (student problems)
- Don Steward
- Equable Triangles
- Fractions of Rectangles
- Did the Babylonians Use Similar Triangles?
- Area for a Fixed Perimeter
- Digitizing Rectangles
- Consecutive Areas
- Perimeter and Area
- One Less Side, Same Area
- Transformers
- Area with Perimeter
- Quadrilaterals to a Rectangle
- Kite Areas
- Matching Shapes to Measures✦
- Rectangles
- The Chalkface
- Rectangle Investigation: Excel (if macros are blocked: right-click the file › Properties › tick Unblock)
- Triangle Overlap activity: PowerPoint
- Triangle Trickery activity: PowerPoint
- The Impossible Triangle: PowerPoint
- Access Maths
- Interactive Maths
- Goal Free Problems
- Go Teach Maths
- MathsPad
- Oak National Academy
- Miss Konstantine (MathsHKO)
- John Mason (PMTheta)
- pas1001
- SMILE
- Areas of polygons✦ (original by SMILE; copy hosted on Jo Morgan’s Drive)
- Polygon areas✦ (original by SMILE; copy hosted on Jo Morgan’s Drive)
External Whole Topic Past Paper Style Questions
- Transum
- Exam-style questions: Mensuration
- NCETM
- NCETM Checkpoints: Perimeter and area (diagnostic tasks)
- Standards Unit (DfES)
- Standards Unit SS4: Evaluating Statements about Length and Area (Standards Unit, DfES; PDF
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.