Source: https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-2-1-polygons

[Revision notes](https://senecalearning.com/en-gb/revision-notes.md) › [IGCSE](https://senecalearning.com/en-gb/revision-notes/igcse.md) › [Maths](https://senecalearning.com/en-gb/revision-notes/igcse/maths.md) › [Edexcel IGCSE](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse.md) › [Higher](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher.md) › Polygons

# Polygons

Maths: Edexcel IGCSE Higher, topic 4.2.1

## Regular Polygons

A regular polygon is a many sided shape where all the sides are the same length and all the angles are the same size. The order of rotation and the number of lines of symmetry of a regular polygon are the same as the number of sides.

### Equilateral triangle (3 sides)

![Equilateral triangle (3 sides)](https://image-v2.cdn.app.senecalearning.com/2018-04/a6cc2d49-dc05-4a9e-8086-90d40fa584ea/Screen%20Shot%202018-04-16%20at%2010.55.33.png)

### Square (4 sides)

![Square (4 sides)](https://image-v2.cdn.app.senecalearning.com/2018-04/b0fb3036-7dd2-451d-94bf-b722809a15d4/Screen%20Shot%202018-04-16%20at%2010.55.37.png)

### Pentagon (5 sides)

![Pentagon (5 sides)](https://image-v2.cdn.app.senecalearning.com/2018-04/0311255b-46ce-4d84-9919-6a833caf167a/Screen%20Shot%202018-04-16%20at%2010.55.40.png)

### Hexagon (6 sides)

![Hexagon (6 sides)](https://image-v2.cdn.app.senecalearning.com/2018-04/5156aaa6-90b5-4f98-905f-79e9dc7ab643/Screen%20Shot%202018-04-16%20at%2010.55.44.png)

### Heptagon (7 sides)

![Heptagon (7 sides)](https://image-v2.cdn.app.senecalearning.com/2018-04/29eedf9d-f4e1-45f5-9625-6909c41760af/Screen%20Shot%202018-04-16%20at%2010.55.48.png)

### Octagon (8 sides)

![Octagon (8 sides)](https://image-v2.cdn.app.senecalearning.com/2018-04/447808cb-cb63-4160-8ca6-9b6ed849c5f9/Screen%20Shot%202018-04-16%20at%2010.55.52.png)

### Decagon (10 sides)

![Decagon (10 sides)](https://image-v2.cdn.app.senecalearning.com/2018-04/d10655a6-af07-4b8c-b651-d6645b47913e/Screen%20Shot%202018-04-16%20at%2010.55.57.png)

## Angles in a Polygon

The interior (inside) angles of a polygon (a shape made of straight lines) are the angles inside the shape.

### Interior (inside) angles

![Interior (inside) angles](https://image-v2.cdn.app.senecalearning.com/2018-03/e4b974bc-ce3a-4376-a05e-13ede764f74b/Screen%20Shot%202018-03-23%20at%2011.10.43.png)

- The sum of the interior angles is (n - 2) × 180° where n is the number of sides the polygon has.

### Exterior angles

![Exterior angles](https://image-v2.cdn.app.senecalearning.com/2018-03/61d40d13-e53a-4501-a151-faa22e9a69c1/Screen%20Shot%202018-03-23%20at%2011.16.35.png)

- If you extend the side of a polygon outside the shape then the exterior angle is the angle between the extended line and the adjacent edge. 
- The exterior angles add up to 360°. 
- In a regular polygon the exterior angle + interior angle = 180°.

## Test yourself on Polygons

- What do we call a shape with 6 sides all the same length?
- Which of these describes a square?
- What do the exterior angles of a triangle add up to?
- What is the sum of the exterior angles of this regular pentagon?
- What type of angles are being shown here?

[Practise this topic for free](https://app.senecalearning.com/classroom/course/641a6cb5-729a-404a-aeca-c7040cd18740/section/fba173cf-b96d-4e44-ae1a-339bb0d6e43b/session)

- Previous topic: [4.1.4 Exam-Style Questions - Angles](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-1-4-exam-style-questions-angles.md)
- Next topic: [4.2.2 Quadrilaterals](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-2-2-quadrilaterals.md)

## Maths: Edexcel IGCSE Higher contents

### 1 Numbers
- 1.1 Integers
  - [1.1.1 Integers](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-1-integers.md)
  - [1.1.2 Ordering Numbers](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-2-ordering-numbers.md)
  - [1.1.3 The Four Rules of Operations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-3-the-four-rules-of-operations.md)
  - [1.1.4 Hierarchy of Operations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-4-hierarchy-of-operations.md)
  - [1.1.5 Definitions & Terms](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-5-definitions-and-terms.md)
  - [1.1.6 HCF & LCM](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-6-hcf-and-lcm.md)
  - [1.1.7 Standard Form](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-7-standard-form.md)
  - [1.1.8 Standard Form 2](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-8-standard-form-2.md)
  - [1.1.9 Prime Numbers](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-9-prime-numbers.md)
  - [1.1.10 End of Topic Test - Standard Form](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-1-10-end-of-topic-test-standard-form.md)
- 1.2 Fractions
  - [1.2.1 Fractions](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-2-1-fractions.md)
  - [1.2.2 Using Fractions](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-2-2-using-fractions.md)
  - [1.2.3 Conversion](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-2-3-conversion.md)
  - [1.2.4 Reciprocals](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-2-4-reciprocals.md)
- 1.3 Decimals
  - [1.3.1 Decimals](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-3-1-decimals.md)
  - [1.3.2 Decimals 2](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-3-2-decimals-2.md)
  - [1.3.3 Exam-Style Questions - Recurring Decimals](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-3-3-exam-style-questions-recurring-decimals.md)
  - [1.3.4 Comparing & Converting Decimals](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-3-4-comparing-and-converting-decimals.md)
  - [1.3.5 End of Topic Test - Fractions & Decimals](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-3-5-end-of-topic-test-fractions-and-decimals.md)
- 1.4 Powers & Roots
  - [1.4.1 Square Numbers](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-4-1-square-numbers.md)
  - [1.4.2 Index Notation](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-4-2-index-notation.md)
  - [1.4.3 Exam-Style Questions - Index Notation](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-4-3-exam-style-questions-index-notation.md)
  - [1.4.4 Advanced Indices](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-4-4-advanced-indices.md)
  - [1.4.5 Surds](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-4-5-surds.md)
  - [1.4.6 End of Topic Test - Powers & Roots](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-4-6-end-of-topic-test-powers-and-roots.md)
- 1.5 Set Language & Notation
  - [1.5.1 Sets](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-5-1-sets.md)
- 1.6 Percentages
  - [1.6.1 Percentages](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-6-1-percentages.md)
  - [1.6.2 Percentage Change](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-6-2-percentage-change.md)
  - [1.6.3 Percentages in Finance](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-6-3-percentages-in-finance.md)
  - [1.6.4 Compound Interest](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-6-4-compound-interest.md)
- 1.7 Ratio & Proportion
  - [1.7.1 Manipulating Ratios](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-7-1-manipulating-ratios.md)
  - [1.7.2 Proportion](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-7-2-proportion.md)
- 1.8 Degree of Accuracy
  - [1.8.1 Rounding & Significant Figures](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-8-1-rounding-and-significant-figures.md)
  - [1.8.2 Estimation](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-8-2-estimation.md)
  - [1.8.3 Upper & Lower Bounds](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-8-3-upper-and-lower-bounds.md)
  - [1.8.4 Limits of Accuracy](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-8-4-limits-of-accuracy.md)
  - [1.8.5 Limits of Accuracy 2](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-8-5-limits-of-accuracy-2.md)
  - [1.8.6 End of Topic Test - Rounding & Estimation](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/1-8-6-end-of-topic-test-rounding-and-estimation.md)

### 2 Equations, Formulae & Identities
- 2.1 Algebraic Manipulation
  - [2.1.1 Algebra Basics](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-1-1-algebra-basics.md)
  - [2.1.2 Power Rules & Collecting Terms](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-1-2-power-rules-and-collecting-terms.md)
  - [2.1.3 Expanding Brackets](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-1-3-expanding-brackets.md)
  - [2.1.4 Expanding Brackets 2](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-1-4-expanding-brackets-2.md)
  - [2.1.5 Factorising Quadratics](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-1-5-factorising-quadratics.md)
  - [2.1.6 Algebraic Fractions](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-1-6-algebraic-fractions.md)
  - [2.1.7 Proofs](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-1-7-proofs.md)
  - [2.1.8 End of Topic Test - Algebra & Proofs](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-1-8-end-of-topic-test-algebra-and-proofs.md)
  - [2.1.9 Exam-Style Questions - Algebraic Proof](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-1-9-exam-style-questions-algebraic-proof.md)
- 2.2 Expressions & Formulae
  - [2.2.1 Rearranging Formulae](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-2-1-rearranging-formulae.md)
  - [2.2.2 Simple Formulae](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-2-2-simple-formulae.md)
  - [2.2.3 End of Topic Test - Algebra Manipulation & Formula](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-2-3-end-of-topic-test-algebra-manipulation-and-formula.md)
- 2.3 Linear Equations
  - [2.3.1 Solving Linear Equations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-3-1-solving-linear-equations.md)
  - [2.3.2 Simultaneous Linear Equations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-3-2-simultaneous-linear-equations.md)
- 2.4 Quadratic Equations
  - [2.4.1 Solving Quadratics](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-4-1-solving-quadratics.md)
  - [2.4.2 Solving Quadratics 2](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-4-2-solving-quadratics-2.md)
  - [2.4.3 End of Topic Test - Solving Equations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-4-3-end-of-topic-test-solving-equations.md)
  - [2.4.4 Simulateous Quadratic Equations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-4-4-simulateous-quadratic-equations.md)
  - [2.4.5 Exam-Style Questions - Simultaneous Equations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-4-5-exam-style-questions-simultaneous-equations.md)
  - [2.4.6 Graphs of Simultaneous Equations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-4-6-graphs-of-simultaneous-equations.md)
  - [2.4.7 End of Topic Test - Simultaneous Equations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-4-7-end-of-topic-test-simultaneous-equations.md)
- 2.5 Proportion
  - [2.5.1 Graphs & Proportion](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-5-1-graphs-and-proportion.md)
- 2.6 Inequalities
  - [2.6.1 Solving Inequalities](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-6-1-solving-inequalities.md)
  - [2.6.2 Graphs of Inequalities](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-6-2-graphs-of-inequalities.md)
  - [2.6.3 Exam-Style Questions - Inequalities](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-6-3-exam-style-questions-inequalities.md)
  - [2.6.4 End of Topic Test - Inequalities](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/2-6-4-end-of-topic-test-inequalities.md)

### 3 Sequences, Functions & Graphs
- 3.1 Sequences
  - [3.1.1 Sequence Rules](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-1-1-sequence-rules.md)
  - [3.1.2 Finding Terms](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-1-2-finding-terms.md)
  - [3.1.3 Exam-Style Questions - Sequences](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-1-3-exam-style-questions-sequences.md)
  - [3.1.4 End of Topic Test - Sequences](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-1-4-end-of-topic-test-sequences.md)
- 3.2 Functions
  - [3.2.1 Functions](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-2-1-functions.md)
  - [3.2.2 Composite & Inverse](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-2-2-composite-and-inverse.md)
  - [3.2.3 End of Topic Test - Functions](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-2-3-end-of-topic-test-functions.md)
- 3.3 Graphs
  - [3.3.1 Plotting Graphs](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-3-1-plotting-graphs.md)
  - [3.3.2 Straight Line Graphs](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-3-2-straight-line-graphs.md)
  - [3.3.3 Properties of Graphs](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-3-3-properties-of-graphs.md)
  - [3.3.4 Quadratic Graphs](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-3-4-quadratic-graphs.md)
  - [3.3.5 Practical Graphs](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-3-5-practical-graphs.md)
  - [3.3.6 Graphs of Polynomials](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-3-6-graphs-of-polynomials.md)
  - [3.3.7 End of Topic Test Graphs](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-3-7-end-of-topic-test-graphs.md)
- 3.4 Common Graphs
  - [3.4.1 Graphs of Common Functions](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-4-1-graphs-of-common-functions.md)
  - [3.4.2 Transformations of Graphs](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-4-2-transformations-of-graphs.md)
  - [3.4.3 End of Topic Test - Transformations and Graph](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-4-3-end-of-topic-test-transformations-and-graph.md)
- 3.5 Calculus
  - [3.5.1 Derivatives of Functions](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-5-1-derivatives-of-functions.md)
  - [3.5.2 Maxima & Minima](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/3-5-2-maxima-and-minima.md)

### 4 Geometry
- 4.1 Angles, Lines & Triangles
  - [4.1.1 Angles & Lines](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-1-1-angles-and-lines.md)
  - [4.1.2 Angle Rules](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-1-2-angle-rules.md)
  - [4.1.3 Angles in Triangles](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-1-3-angles-in-triangles.md)
  - [4.1.4 Exam-Style Questions - Angles](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-1-4-exam-style-questions-angles.md)
- 4.2 Polygons
  - [4.2.1 Polygons](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-2-1-polygons.md)
  - [4.2.2 Quadrilaterals](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-2-2-quadrilaterals.md)
  - [4.2.3 Congruence](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-2-3-congruence.md)
  - [4.2.4 Scale Factor](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-2-4-scale-factor.md)
  - [4.2.5 Exam-Style Questions - Enlargements](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-2-5-exam-style-questions-enlargements.md)
  - [4.2.6 End of Topic Test - Geometry](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-2-6-end-of-topic-test-geometry.md)
- 4.3 Symmetry
  - [4.3.1 Symmetry](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-3-1-symmetry.md)
  - [4.3.2 Exam-Style Questions - Reflection](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-3-2-exam-style-questions-reflection.md)
- 4.4 Measures
  - [4.4.1 Measurements](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-4-1-measurements.md)
  - [4.4.2 Time](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-4-2-time.md)
  - [4.4.3 Bearings](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-4-3-bearings.md)
  - [4.4.4 Speed](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-4-4-speed.md)
- 4.5 Circle Properties
  - [4.5.1 Properties of a Circle](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-5-1-properties-of-a-circle.md)
  - [4.5.2 Circle Theorems](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-5-2-circle-theorems.md)
  - [4.5.3 Circle Theorems 2](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-5-3-circle-theorems-2.md)
  - [4.5.4 Circle Theorems 3](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-5-4-circle-theorems-3.md)
  - [4.5.5 Exam-Style Questions - Circle Theorems](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-5-5-exam-style-questions-circle-theorems.md)
- 4.6 Trigonometry & Pythagoras’ theorem
  - [4.6.1 Pythagoras' Theorem](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-6-1-pythagoras-theorem.md)
  - [4.6.2 Trigonometry](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-6-2-trigonometry.md)
  - [4.6.3 Sine & Cosine for Obtuse Angles](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-6-3-sine-and-cosine-for-obtuse-angles.md)
  - [4.6.4 Triangle Formulae](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-6-4-triangle-formulae.md)
  - [4.6.5 Exam-Style Questions - Trigonometry & Area](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-6-5-exam-style-questions-trigonometry-and-area.md)
- 4.7 Mensuration of 2D Shapes
  - [4.7.1 Standard Units](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-7-1-standard-units.md)
  - [4.7.2 Perimeter of 2D Shapes](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-7-2-perimeter-of-2d-shapes.md)
  - [4.7.3 Area of 2D Shapes](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-7-3-area-of-2d-shapes.md)
  - [4.7.4 Area & Circumference of Circle](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-7-4-area-and-circumference-of-circle.md)
  - [4.7.5 End of Topic Test - Trigonometry & Shapes](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-7-5-end-of-topic-test-trigonometry-and-shapes.md)
- 4.8 3D Shapes & Volume
  - [4.8.1 3D Shapes](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-8-1-3d-shapes.md)
  - [4.8.2 Surface Area](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-8-2-surface-area.md)
  - [4.8.3 Volume](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-8-3-volume.md)
  - [4.8.4 Exam-Style Questions - Volume](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/4-8-4-exam-style-questions-volume.md)

### 5 Vectors & Transformation Geometry
- 5.1 Vectors
  - [5.1.1 Vectors](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/5-1-1-vectors.md)
  - [5.1.2 Vectors 2](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/5-1-2-vectors-2.md)
  - [5.1.3 Exam-Style Questions - Vectors](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/5-1-3-exam-style-questions-vectors.md)
- 5.2 Transformation Geometry
  - [5.2.1 Transformations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/5-2-1-transformations.md)
  - [5.2.2 Rotations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/5-2-2-rotations.md)
  - [5.2.3 Translations & Reflections](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/5-2-3-translations-and-reflections.md)
  - [5.2.4 Enlargements](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/5-2-4-enlargements.md)
  - [5.2.5 Effects of Transformations](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/5-2-5-effects-of-transformations.md)

### 6 Statistics & Probability
- 6.1 Statistical Measures
  - [6.1.1 Basic Statistics](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-1-1-basic-statistics.md)
  - [6.1.2 Frequency Table](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-1-2-frequency-table.md)
- 6.2 Graphical Representation of Data
  - [6.2.1 Pictograms, Bar Charts & Pie  Charts](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-2-1-pictograms-bar-charts-and-pie-charts.md)
  - [6.2.2 Histograms](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-2-2-histograms.md)
  - [6.2.3 Cumulative Frequency](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-2-3-cumulative-frequency.md)
  - [6.2.4 Cumulative Frequency 2](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-2-4-cumulative-frequency-2.md)
  - [6.2.5 Exam-Style Questions - Cumulative Frequency](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-2-5-exam-style-questions-cumulative-frequency.md)
  - [6.2.6 End of Topic - Datasets](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-2-6-end-of-topic-datasets.md)
- 6.3 Probability
  - [6.3.1 Probability](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-1-probability.md)
  - [6.3.2 Theoretical Probability](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-2-theoretical-probability.md)
  - [6.3.3 Experimental Probability](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-3-experimental-probability.md)
  - [6.3.4 Venn Diagrams](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-4-venn-diagrams.md)
  - [6.3.5 Sample Space Diagrams](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-5-sample-space-diagrams.md)
  - [6.3.6 Tree Diagrams](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-6-tree-diagrams.md)
  - [6.3.7 Independent Events](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-7-independent-events.md)
  - [6.3.8 Conditional Probability](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-8-conditional-probability.md)
  - [6.3.9 End of Topic Test - Probability](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-9-end-of-topic-test-probability.md)
  - [6.3.10 Exam-Style Questions - Probability](https://senecalearning.com/en-gb/revision-notes/igcse/maths/edexcel-igcse/higher/6-3-10-exam-style-questions-probability.md)