# Sum of series

**Sum of Series**:A **series** is the sum of a sequence of terms. When we add up the terms in a sequence, we get a series.

**Arithmetic Series**:An arithmetic series is the sum of the terms of an **arithmetic sequence**.

**Geometric Series**:A geometric series is the sum of the terms of a **geometric sequence**.

**Application in Equations of Straight Lines**:The concept of **pair of straight lines** involves equations that represent two intersecting straight lines.

Understanding these concepts can simplify complex problems and enhance your mathematical skills!

Core Assessment | Extended Assessment | Examination Timeline | Scoring System | Passing Marks | Chapter Names |
---|---|---|---|---|---|

Algebraic expressions and equations | Quadratic functions and equations | Exam takes place in May/June | Marking scheme based on accuracy and method | 50 | 1. Number
2. Algebra
3. Geometry and measure
4. Statistics and probability |

Trigonometry and geometry | Probability and statistics | Examination duration is 2 hours and 30 minutes | Marks awarded for correct answers with working shown | 55 | 1. Sets and functions
2. Quadratic functions and equations
3. Vectors
4. Probability |

In the IGCSE Mathematics syllabus, understanding **Area** and **Volume**is essential. Let’s break it down:

**1. Area**:

You’ll encounter various shapes like rectangles, triangles, circles, and parallelograms.

Understand how to calculate the area of each shape using relevant formulas:

Rectangle:

Area=length×width

Triangle:

Area=21×base×height

Circle:

Area=π×radius2

Practice solving problems involving composite shapes (combinations of basic shapes).

**2. Volume**:

Volume deals with three-dimensional objects like cubes, cylinders, spheres, and prisms.

**Key formulas for volume:**

Cube:

Volume=side3

Cylinder:

Volume=π×radius2×height

Sphere:

Volume=34π×radius3

Understand how to find the volume of composite solids as well.

To practice solving problems, as it reinforces your understanding.

Good luck with your IGCSE Mathematics studies!