Prior Content: Angles (Including Parallel Lines), Angles in Polygons, Constructions, Solving Quadratics, Forming Equations, Algebraic Proof, Circles & Sectors, Pythagoras, Similar Shapes

Possible Next Steps: Drawing & Using Graphs, Linear Graphs & Gradients

Contents

1.0 Whole Angle Circle Theorem Resources

Teaching Videos, Exercises & Activities
Tutorial Videos
Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
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

No Key Skills Yet

Further Practice
  • Practise Questions
Extension Materials
Worksheet

1.1 Isosceles Triangles from Radii

Teaching Videos, Exercises & Activities
Tutorial Videos
Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
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

No Key Skills Yet

Further Practice
  • Practise Questions
Extension Materials
Worksheet

1.2 The Angle in a Semi-Circle is a Right Angle

Teaching Videos, Exercises & Activities
Tutorial Videos

Corbett Maths Angle in a Semi-Circle Proof

Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
Dr Frost Resources
Dr Frost Video

K643: Know That the Angle in a Semicircle is 90 Degrees.

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

  • 643 Know That the Angle in a Semicircle is 90 Degrees.

Circle Theorems Key Skills Section (for selecting more than one)

Further Practice
  • Practise Questions
Extension Materials
Other Videos & Multimedia
Worksheet

1.3 The Angle in the Centre is Twice the Angle at the Circumference

Teaching Videos, Exercises & Activities
Tutorial Videos

Corbett Maths Angles at Centre & Circumference

Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
Dr Frost Resources
Dr Frost Video

K645: Know That the Angle at the Centre is Twice the Angle at the Circumference.

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

Circle Theorems Key Skills Section (for selecting more than one)

Further Practice
  • Practise Questions
Extension Materials
Worksheet

1.4 The Angles in Same Segments are Equal

Teaching Videos, Exercises & Activities
Tutorial Videos

Corbett Maths Angles in the Same Segment Proof

Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
Dr Frost Resources
Dr Frost Video

K646: Know That Angles in the Same Segment are Equal.

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

  • 646 Know That Angles in the Same Segment are Equal.

Circle Theorems Key Skills Section (for selecting more than one)

Further Practice
  • Practise Questions
Extension Materials
Worksheet

1.5 Opposite Angles in a Cyclic Quadrilateral Sum to 180 Degrees

Teaching Videos, Exercises & Activities
Tutorial Videos

Corbett Maths Angles in a Cyclic Quadrilateral Proof

Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
Dr Frost Resources
Dr Frost Video

K647: Know That Opposite Angles in a Cyclic Quadrilateral Add to 180.

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

  • 647 Know That Opposite Angles in a Cyclic Quadrilateral Add to 180.

Circle Theorems Key Skills Section (for selecting more than one)

Further Practice
  • Practise Questions
Extension Materials
Activities

1.6 The Perpendicular Bisector of a Chord Passes Through the Centre

Teaching Videos, Exercises & Activities
Tutorial Videos
Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
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

No Key Skills Yet

Further Practice
  • Practise Questions
Extension Materials
Worksheet

1.7 The Angle Between the Tangent and Radius is a Right Angle

Teaching Videos, Exercises & Activities
Tutorial Videos

Corbett Maths Radius Tangent Proof

Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
Dr Frost Resources
Dr Frost Video

K644: Know That Angle Between a Tangent and the Radius at the Point of Contact is 90.

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

  • 644 Know That Angle Between a Tangent and the Radius at the Point of Contact is 90.
  • 744 Use Pythagoras’ Theorem in a Circle Theorem Context.
  • Combination of All

Circle Theorems Key Skills Section (for selecting more than one)

Further Practice
  • Practise Questions
Extension Materials
Worksheet

1.8 The Angles in Alternate Segments are Equal

Teaching Videos, Exercises & Activities
Tutorial Videos

Corbett Maths Alternate Segment Theorem Proof

Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
Dr Frost Resources
Dr Frost Video

K648: Know That the Angle Between the Tangent and a Chord is Equal to the Angle in the Alternate Segment.

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

  • 648 Know That the Angle Between the Tangent and a Chord is Equal to the Angle in the Alternate Segment.

Circle Theorems Key Skills Section (for selecting more than one)

Further Practice
  • Practise Questions
Extension Materials
Worksheet

2.1 Intersecting Chords: Intersecting within a Circle (& Whole Intersecting Chords Resources)

Teaching Videos, Exercises & Activities
Tutorial Videos

Circle Theorems: Intersecting Chords – IGCSE Maths by Addvance Maths

Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
Dr Frost Resources
Dr Frost Video

Intersecting Chord and Intersecting Secant Theorems

Dr Frost Slides & Activities
  • All in one summary sheet
Topic Tests
  • Standard Test
  • Advanced Test
Extra Questions
  • Dr Frost Questions
Key Skills

No Key Skills Yet

Further Practice
  • Practise Questions
Extension Materials
Worksheet

2.2 Intersecting Chords: Two Chords Intersecting Outside a Circle

Teaching Videos, Exercises & Activities
Tutorial Videos
Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
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

No Key Skills Yet

Further Practice
  • Practise Questions
Extension Materials
Worksheet

2.3 Intersecting Chords: One Chord, One Tangent

Teaching Videos, Exercises & Activities
Tutorial Videos
Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
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

No Key Skills Yet

Further Practice
  • Practise Questions
Extension Materials
Worksheet

2.4 Intersecting Chords: Two Tangents are Equidistant from a Point to a Circle

Teaching Videos, Exercises & Activities
Tutorial Videos
Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
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

Circle Theorems Key Skills Section (for selecting more than one)

Further Practice
  • Practise Questions
Extension Materials
Worksheet

Whole Topic Summary Resources (Including Past Paper Questions)

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

Other Whole Topic Resources

Videos & Other Multimedia

Corbett Maths Circle Theorems

Corbett Maths Circle Theorem Questions

Sound Understanding The Circle of Theorems

Activities & Resources
Worksheets