Mathematics Revision Notes

BETA

62 topics covering the complete 0580 syllabus

Syllabus-Aligned AI-Enhanced
Note: These notes are in beta. Some diagrams may be missing or display as placeholder text. We're actively working on adding proper graphics for all topics.
62
Topics
9
Units
276
Objectives

Unit 1

1.1

Types of number

9 Core 2 Ext
1.10

Limits of accuracy

1 Core 1 Ext
1.11

Ratio and proportion

3 Core 2 Ext
1.12

Rates

3 Core 3 Ext
1.13

Percentages

4 Core 5 Ext
1.14

Using a calculator

3 Core 3 Ext
1.15

Time

3 Core 3 Ext
1.16

Money

2 Core 2 Ext
1.17

Exponential growth and decay

1 Ext
1.18

Surds

2 Ext
1.2

Sets

1 Core 1 Ext
1.3

Powers and roots

5 Core 2 Ext
1.4

Fractions, decimals and percentages

6 Core 3 Ext
1.5

Ordering

1 Core 1 Ext
1.6

The four operations

1 Core
1.7

Indices I

2 Core 1 Ext
1.8

Standard form

3 Core 3 Ext
1.9

Estimation

3 Core 3 Ext

Unit 2

2.1

Introduction to algebra

2 Core 2 Ext
2.10

Graphs of functions

2 Core 6 Ext
2.11

Sketching curves

1 Core 6 Ext
2.12

Differentiation

4 Ext
2.13

Functions

3 Ext
2.2

Algebraic manipulation

3 Core 10 Ext
2.3

Algebraic fractions

2 Ext
2.4

Indices II

2 Ext
2.5

Equations

4 Core 7 Ext
2.6

Inequalities

1 Core 3 Ext
2.7

Sequences

3 Core 3 Ext
2.8

Proportion

1 Ext
2.9

Graphs in practical situations

2 Core 4 Ext

Unit 3

3.1

Coordinates

1 Core
3.2

Drawing linear graphs

1 Core
3.3

Gradient of linear graphs

1 Core 1 Ext
3.4

Length and midpoint

2 Ext
3.5

Equations of linear graphs

1 Core 1 Ext
3.6

Parallel lines

1 Core
3.7

Perpendicular lines

1 Ext

Unit 4

4.1

Geometrical terms

1 Core 21 Ext
4.2

Geometrical constructions

3 Core 3 Ext
4.3

Scale drawings

2 Core 2 Ext
4.4

Similarity

1 Core 2 Ext
4.5

Symmetry

1 Core 1 Ext
4.6

Angles

8 Core 5 Ext
4.7

Circle theorems I

2 Core 7 Ext
4.8

Circle theorems II

4 Ext

Unit 5

5.1

Units of measure

1 Core
5.2

Area and perimeter

1 Core
5.3

Circles, arcs and sectors

2 Core 2 Ext
5.4

Surface area and volume

6 Core
5.5

Compound shapes and parts of shapes

4 Core

Unit 6

6.1

Pythagoras' theorem

1 Core
6.2

Right-angled triangles

2 Core

Unit 7

7.1

Transformations

4 Core

Unit 8

8.1

Introduction to probability

3 Core
8.2

Relative and expected frequencies

2 Core
8.3

Probability of combined events

3 Core

Unit 9

9.1

Classifying statistical data

1 Core
9.2

Interpreting statistical data

3 Core
9.3

Averages and range

1 Core
9.4

Statistical charts and diagrams

5 Core
9.5

Scatter diagrams

3 Core

About These Revision Notes

These revision notes are designed specifically for Cambridge IGCSE Mathematics (0580) students. Each topic is structured to help you master the syllabus efficiently.

What's Included

Select a topic above to start revising. Each page includes LaTeX-rendered equations and is optimized for both desktop and mobile study.