Prior Content:
Possible Next Steps: Angles in Polygons, Circle Theorems, Constructions, Similar Shapes, Pie Charts
Contents
- 1.1.1 Drawing & Measuring Angles
- 1.1.2 Angle Notation
- 1.2 Types of Angles
- 2.1 Angles Around a Point
- 2.2 Angles on a Straight Line
- 2.3 Bearings
- 3.1 Vertically Opposite Angles
- 3.2 Angles Between Parallel Lines
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1.1 Drawing & Measuring Angles
Teaching Videos, Exercises & Activities
Tutorial Videos
Dlugoszwesterly Drawing & Measuring Reflex Angles
Corbettmaths Drawing Angles
Corbett Maths Estimating Angles
Corbett Maths Measuring Angles
Online Platforms (with Videos & Exercises)
Activities & Resources
- interactive-maths.com Estimate the (editable) Angle
- Go Teach Maths treasure trove of activities & ppts
- Pixi Maths
- Transum Estimating (and Measuring) Angles Starter with Online Interactive Protractor
- Math = Love (Sarah Carter)
- Transum
- BossMaths
Worksheets
- Corbettmaths
- Pixi Maths
- Mr Morley Maths
- Measure and Draw Angles: Notes jotter/worksheet
- Transum
- Estimating Angles Online Worksheets (4 Levels of Difficulty)
- Measuring Angles Online Worksheets (4 Levels of Difficulty)
Dr Frost Resources
Dr Frost Video
K101: Estimate the Size of an Angle.
Dr Frost Slides & Activities
Extra Questions
- Dr Frost Questions (Q1 with protractor, rest with movement on a circle -mainly clocks- but latter questions are tricky and good for extension work)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 62c: Compare and order angles up to two right angles by size.
- 109a: Measure a non-reflex angle with a protractor.
- 109b: Draw a non-reflex angle with a protractor.
- 111a: Determine the size of a reflex angle by measuring the conjugate angle with a protractor. (not yet active)
- 111b: Draw a reflex angle by drawing its conjugate with a protractor. (not yet active)
- 112a: Estimate the size of a non-reflex angle.
- 112b: Estimate the size of a reflex angle. (not yet active)
- 62: Exam Practice: Identifying right-angles and relating to other angles and turns
- 109: Exam Practice: Measuring and drawing non-reflex angles in degrees with a protractor
- 111: Exam Practice: Measuring and drawing reflex angles in degrees with a protractor
- 112: Exam Practice: Estimating the size of an angle
Extension Materials
Online Platforms
- cimt.org (Online Worksheets & Notes)
- Measuring & Estimating Angles 1 · 2
- Quarter-Turns, Compass Angles
1.1.2 Angle Notation
Teaching Videos, Exercises & Activities
Tutorial Videos
Hegarty Maths
Boss Maths
Online Platforms (with Videos & Exercises)
Activities & Resources
- fionaryan88 Identify and Label Angles and Lengths✦ (TES Account Required)
- Bossmaths Lesson✦.
- Mr Draper Maths Understanding Angle labels✦
- BossMaths
Worksheets
- alicecreswick Highlighting Angles and Line Segments✦ – Interpreting (TES Account Required)
- Big Brainmaths Labelling angles
- pfearon4 Measuring Angles with Notation – Interpreting (TES Account Required)
- kutasoftware worksheet
- Physics & Maths Tutor
Dr Frost Resources
Dr Frost Video
K102: Use the Three-Letter Angle Notation.
Dr Frost Slides & Activities
- Dr Frost Slides (4)
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
Extension Materials
1.2 Types of Angles
TEACHING VIDEOS, EXERCISES & ACTIVITIES

Tutorial Videos
Mathispower4u
Corbett Maths Types of Angle
Online Platforms (with Videos & Exercises)
- cimt.org
- Onlinemath4u notes, videos and links to online worksheets (this one)
- Khan Academy
- lesson (no reflex angles)
Activities & Resources
- Go Teach Maths treasure trove of activities & ppts
- Mathspad Angle Sort✦
- Pixi Maths
- Math = Love (Sarah Carter)
- Desmos
- Inaba Puzzle
- Don Steward
- Transum
Worksheets
- Corbett Maths,
- Starting Points Maths
- Complementary Angles (by Segar Rogers) · PDF
Dr Frost resources
Dr Frost Videos
Whole Topic Video
K99: Identify the Type of Different Angles.
Dr Frost Slides & Activities
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 76a: Identify the type of angle from drawn form.
- 76b: Identify the type of angle in numeric form. (not yet active)
- 76c: Identify angles of a certain type in a given shape. (not yet active)
- 76: Exam Practice: Types of angle
Further Practice
EXTENSION MATERIALS
2.1 Angles Around a Point
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbettmaths Angles at a Point
Courtesy of Maths Genie (From 4:14 to 7:07)
Online Platforms (with Videos & Exercises)
Activities & Resources
- Go Teach Maths treasure trove of activities & ppts
- Maths4Everyone Loop (Requires Angles on a Straight Line)
- interactive-maths.com Editable Examples
- Andy Lutwyche
- Don Steward
- Ticktock Maths
- Angles Around a Point lesson (slides)
Worksheets
- Dr Austin Maths
- Practice Strips (Editable Word | PDF | Answers)
- Corbettmaths
- Transum Online Worksheet (Level 1 Only)
- Onlinemath4u online worksheet
- Maths 4 Everyone
- CIMT MEP (online self-checking)
- Miss Konstantine (MathsHKO)
- Pret Homework (@MissBsResources)
- Angles (@MissBsResources, pdf)
Dr Frost resources
Dr Frost Videos
Whole Topic Video (Up to 2:08)
K104: Angles About a Point.
Dr Frost Slides & Activities
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 110b: Know the properties of angles about a point.
- 110c: Know the properties of angles in a right angle.
- 110: Exam Practice: Sum of the angles on a straight line and angles around a point
Further Practice
- Practise Questions (may include angles in a triangle and on a straight line)
EXTENSION MATERIALS
2.2 Angles on a Straight Line
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbettmaths Angles in a Straight Line
Corbett Maths Angles in a Right Angle
Courtesy of Maths Genie (up to 4:14)
Online Platforms (with Videos & Exercises)
- cimt.org
- Khan Academy
- Missing angle problems: Videos & practice
Activities
- Go Teach Maths treasure trove of activities & ppts
- interactive-maths.com Editable Examples
- Math = Love (Sarah Carter)
- Mr Chapman Maths
- Ticktock Maths
Worksheets
- Dr Austin Maths
- Onlinemath4u online worksheet
- Transum Online Worksheet (Level 2 Only)
- Corbettmaths
- Maths 4 Everyone
- Miss Konstantine (MathsHKO)
- Mr Morley Maths
- Angle Rules: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
- Pret Homework (@Mr_P_Maths)
- Angles on a Straight Line (@Mr_P_Maths, docx)
Dr Frost resources
Dr Frost Videos
Whole Topic Video
K103: Angles on a Line.
Dr Frost Slides & Activities
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 110a: Know the properties of angles on a straight line.
- 263a: Determine an algebraic expression for an angle involving angles on a line or angles about a point, where angles are given as algebraic terms only.
- 263b: Determine an algebraic expression for an angle involving angles on a line or angles about a point, where angles are given as general expressions.
- 263e: Form and solve an equation using algebraic angles to determine an unknown angle on a line or angles around a point.
- 110: Exam Practice: Sum of the angles on a straight line and angles around a point
- 263: Exam Practice: Algebraic expressions and equations using angle facts
Further Practice
- Practise Questions (may include angles in a triangle)
EXTENSION MATERIALS
Worksheet
- Angle chases – thanks to @MathedUp
- Mrdrapermaths presentation and exercises, first part only (leads on to angles in triangles)
2.3 Bearings
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Bearings
Corbett Maths Position if Bearings from Two Points
Corbett Maths Back Bearings
Corbett Maths Compass Directions
Courtesy of Maths Genie
Online Platforms (with Videos & Exercises)
Activities & Resources
- Dr Austin Maths
- Boss Maths Lesson✦
- collinbillet Maths GCSE Bearings✦ (TES Account Required)
- Maths 4 Everyone
- Go Teach Maths treasure trove of activities & ppts
- Pixi Maths
- Transum 2 Player Online Pool Game
- Andy Lutwyche
- Miss Konstantine (MathsHKO)
- Don Steward
- The Chalkface
- Bearings Course Plotter: PDF · Excel (if macros are blocked: right-click the file › Properties › tick Unblock)
- Finding bearings✦
- Goal Free Problems
- Mr Draper Maths Reasoning With Bearings✦
- Colin Foster
- MathsPad
- CIMT MEP
- pas1001
Worksheets
- Dr Austin Maths
- Measuring Bearings Practice Grid (Word | PDF | Answers)
- Drawing Bearings Practice Grid (Word | PDF | Answers)
- Measuring and Drawing Bearings Practice Strips (Word | PDF | Answers)
- Measuring Bearings Match-Up (Word | PDF✦ | Answers✦)
- Scale Diagrams Practice Strips (Word | PDF | Answers)
- Calculating Bearings Practice Grid (Word | PDF | Answers)
- Transum Online Worksheet (Level 1 & 2)
- thechalkface collection of worksheets and tasks✦
- Corbettmaths
- Bearings Practice Questions & Solutions
- Bearings Worksheet & Solutions
- cimt.org booklet with notes (huge and extends into parallel lines etc)
- Maths 4 Everyone
- Calculating Bearings First Steps
- Calculating Bearings Strengthen 1 · 2
- Calculating Bearings Extend 1 · 2
- Pixi Maths
- Self Marking Sheets by Phil Rhodes
- Bearings Excel File
- Maths Genie
- Bearings: Booklet · Worksheet · Solutions · Lesson · Topic page
- Mathsaurus (Kevin Olding)
- Naiker Maths
- Bearings: Worksheet
- Physics & Maths Tutor
- Access Maths
- MME
- 1st Class Maths
- Mr Morley Maths
- Bearings: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
- Pret Homework (@Mr3142)
- Bearings (@Mr3142, pptx)
Dr Frost resources
Dr Frost Videos
K324: Calculate a Bearing Given an Angle.
Dr Frost Slides & Activities
Exam Practice
Extra Questions
- Dr Frost Questions (see parallel lines also)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 264a: Know the correspondence between bearings and compass directions.
- 264b: Calculate a bearing using a simple diagram.
- 264c: Measure a bearing using a protractor.
- 264d: Calculate a bearing using angles on parallel lines.
- 264e: Use the bearing of one object from another to calculate the bearing of the opposite.
- 264f: Calculate bearings using parallel lines and isosceles triangles.
- 264: Exam Practice: Bearings (excluding trigonometry)
Further Practice
EXTENSION MATERIALS
3.1 Vertically Opposite Angles
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbettmaths Vertically Opposite Angles
Online Platforms (with Videos & Exercises)
- Khan Academy
- Lesson (Including Complementary & Supplementary Angles)
Activities & Resources
- Go Teach Maths treasure trove of activities & ppts
- interactive-maths.com Striping Angles starter and interactive resource
- BossMaths
Worksheets
- Dr Austin Maths
- Transum Online Worksheet (Level 3, but could do Level 4 too which is mixed)
- Corbettmaths
- Missing Angles Practice Questions (Ignore Polygon Questions) & Solutions
- Angles Worksheet (Q4) & Solutions
Dr Frost resources
Dr Frost Videos
Whole Topic Video (Including Parallel Lines)
K307: Vertically Opposite Angles.
Extra Questions
- Dr Frost Questions (last 5 Q’s are extension (and require knowledge of angles in a Triangle & Quadrilateral)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
EXTENSION MATERIALS
3.2 Angles Between Parallel Lines
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Angles: Parallel Lines
Courtesy of Maths Genie
Online Platforms (with Videos & Exercises)
- Maths Made Easy
- Khan Academy
Activities & Resources
- Ben Sparkes Geogebra Interactive Activity
- Go Teach Maths treasure trove of activities & ppts
- Andy Lutwyche
- Properties Codebreaker
- Defuse The Bomb – (up to circle theorems)
- Clumsy Clive
- Crack The Safe – Facts
- Matching
- Exploding
- Properties Spiders
- Codebreaker
- Fill In The Blanks
- X-Men
- Properties
- Show that…
- Algebra
- Anglebert Humperdinck
- Designing a Motocross Course – Calculating
- Scalextric
- SSDD 2: Parallel lines
- Math = Love (Sarah Carter)
- Don Steward
- Interactive Maths
- Angles on Parallel Lines: GeoGebra
- Goal Free Problems
- Mr Draper Maths Reasoning With Angles in Parallel Lines
- Desmos
- Lines, Transversals, and Angles (explore angles formed by a transversal, parallel vs non-parallel lines)
- Polygraph: Angle Relationships (vocabulary game: corresponding, alternate, co-interior angles)
- MathsPad
- Jo Morgan
- Interwoven Maths
- Solving linear equations from parallel lines✦ (by Nathan Day)
- maths-starters.co.uk
- BossMaths
- Mr Thompson Maths
- mathymcmatherson
- SMILE
- Unmarked angles✦ (original by SMILE; copy hosted on Jo Morgan’s Drive)
- Missing angles✦ (original by SMILE; copy hosted on Jo Morgan’s Drive)
- Pondering Planning in Mathematics (Paul Rowlandson)
- Thinking About Corresponding Angles (blog post) · slides
- NCETM
- greatmathsteachingideas.com First Letter Prompts (Requires Knowledge of Shape Rules)
- mathopolis.com multiple choice quiz
- Pixi Maths
- WW Vertically Opposite Angles & Parallel Lines intro Animation.
Worksheets
- Dr Austin Maths
- Transum Online Worksheet Set and Angle Chase
- MissBrookesMaths Angles in parallel lines tick or trash
- Corbettmaths
- Parallel Lines Practice Questions & Solutions
- Parallel Lines Worksheet & Solutions
- dooranran Death Star Angles✦ (TES Account Required)
- A Similar ‘Dinky King’ Worksheet to the Death Star one above can be found on pinterest or original worksheet here as Word doc or PDF (Answers)
- Maths 4 Everyone
- Pixi Maths
- CIMT MEP (online self-checking)
- Miss Konstantine (MathsHKO)
- Maths Genie
- Angles in Parallel Lines: Booklet · Worksheet · Solutions · Lesson · Topic page
- Kuta Software
- Mathsaurus (Kevin Olding)
- Naiker Maths
- Angles in Parallel Lines: Worksheet
- Access Maths
- Angles in Parallel Lines Crossover Problem: Problem | Accompany Sheet | Fluency & Reasoning Sheet
- MME
- @taylorda01
- Labrown20
- Starting Points Maths
- Mr Morley Maths
- Angles in Parallel Lines: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
- Pret Homework (@marshasmith244)
- Angles in Parallel Lines (@marshasmith244, docx)
- Pret Homework (@sazzlemaths)
- Angles in Parallel Lines (@sazzlemaths, pptx)
Dr Frost resources
Dr Frost Videos
Whole Topic Video (Including vertically opposite)
K303: Identify Pairs of Perpendicular and Parallel Lines.
K305: Alternate Angles on Parallel Lines.
K306: Corresponding Angles on Parallel Lines.
K308: Cointerior (Allied) Angles on Parallel Lines.
K325: Calculate a Bearing With Parallel Lines.
Dr Frost Slides & Activities
- Dr Frost Slides (11-25) (many extension qs here)
- All in one summary sheet
Exam Practice
Extra Questions
- Dr Frost Questions 1 (Big but a lot of Q’s should take very little time to do)
- Dr Frost Questions 2 (Parallel Lines with Bearings)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 63b: Identify pairs of perpendicular and parallel lines.
- 262a: Recognise alternate, corresponding and co-interior (allied) angles.
- 262b: Determine an angle using alternate angles on parallel lines.
- 262c: Determine an angle using corresponding angles on parallel lines.
- 262d: Determine an angle using co-interior (allied) angles on parallel lines.
- 262e: Determine if a given pair of lines is parallel using alternate, corresponding or co-interior angle rules.
- 262h: Determine an angle using alternate or corresponding angles combined with vertically opposite angles.
- 262j: Determine an angle in a complex diagram involving multiple angle laws and parallel lines.
- 262l: Write a geometric proof using angle facts, including those for polygons and on parallel lines.
- 263d: Determine algebraic expressions for angle involving parallel lines, where angles are given as general expressions.
- 263h: Form and solve an equation using algebraic angles to determine an unknown angle involving parallel lines.
- 264d: Calculate a bearing using angles on parallel lines.
- 63: Exam Practice: Identifying vertical, horizontal, parallel and perpendicular lines
- 262: Exam Practice: Alternate, corresponding and co-interior angles
- 263: Exam Practice: Algebraic expressions and equations using angle facts
- 264: Exam Practice: Bearings (excluding trigonometry)
EXTENSION MATERIALS
Brilliant.org
Whole Topic Summary Resources (Including Past Paper Questions)
Download Angles 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
- Angle facts (basic) as PowerPoint or PDF
- Angles in parallel lines as PowerPoint or PDF
- Bearings as PowerPoint or PDF
Activities & Resources
- Pixi Maths
- Math = Love (Sarah Carter)
- NRICH (student problems)
- Inaba Puzzle
- Don Steward
- Transum
- Goal Free Problems
- Go Teach Maths
- Interwoven Maths
- Angles and ratio✦ (by Sam Blatherwick)
- MathsBot
- BossMaths
- CIMT MEP
Worksheets
- cimt.org mixture of Questions (except parallel lines)
- Maths 4 Everyone
- MathedUp
- Angles: Worksheet · Practice · Quiz · Question Gallery
- Bearings: Worksheet · Practice · Quiz · Question Gallery
- Maths Genie
- Angles: Booklet · Worksheet · Solutions · Lesson · Topic page
- Naiker Maths
- Angle Problems: Worksheet
- Physics & Maths Tutor
- MME
- @taylorda01
External Whole Topic Past Paper Style Questions
- Transum
- Exam-style questions: Angles
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.