## CISCE ICSE Class 8 Maths Syllabus - Free PDF Download

CISCE Syllabus 2023-24 ICSE Class 8: The CISCE ICSE Class 8 Maths Syllabus for the examination year 2023-24 has been released by the Council for the Indian School Certificate Examinations, CISCE. The board will hold the final examination at the end of the year following the annual assessment scheme, which has led to the release of the syllabus. The 2023-24 CISCE ICSE Class 8 Maths Board Exam will entirely be based on the most recent syllabus. Therefore, students must thoroughly understand the new CISCE syllabus to prepare for their annual exam properly.

The detailed CISCE ICSE Class 8 Maths Syllabus for 2023-24 is below.

## CISCE ICSE Class 8 Mathematics Revised Syllabus

CISCE ICSE Class 8 Mathematics and their Unit wise marks distribution

### CISCE ICSE Class 8 Mathematics Course Structure 2023-24 With Marking Scheme

# | Unit/Topic | Weightage |
---|---|---|

I | Number System | |

1.1 | Rational Numbers | |

1.2 | Exponents | |

1.3 | Squares and Square Root | |

1.4 | Cubes and Cube Roots | |

1.5 | Playing with Numbers | |

1.6 | Sets | |

II | Ratio and Proportion | |

2.1 | Percent and Percentage | |

2.2 | Profit, Loss and Discount | |

2.3 | Interest | |

2.4 | Direct and Inverse Variations | |

III | Algebra | |

3.1 | Algebraic Expressions | |

3.2 | Identities | |

3.3 | Factorisation | |

3.4 | Linear Equations in One Variable | |

3.5 | Linear Inequations | |

IV | Geometry | |

4.1 | Understanding Shapes | |

4.2 | Special Types of Quadrilaterals | |

4.3 | Constructions | |

4.4 | Representing 3-D in 2-D | |

V | Mensuration | |

5.1 | Area of a Trapezium and a Polygon | |

5.2 | Surface Area, Volume and Capacity | |

VI | Data Handling (Statistics) | |

6.1 | Data Handling | |

6.2 | Probability | |

Total | - |

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## Syllabus

### CISCE ICSE Class 8 Mathematics Syllabus for Chapter 1: Number System

- Rational Numbers
- Addition of Rational Number
- Subtraction of Rational Number
- Multiplication of Rational Numbers
- Division of Rational Numbers
- Rational Numbers on a Number Line
- Inserting Rational Numbers Between Two Given Rational Numbers
- Method of Finding a Large Number of Rational Numbers Between Two Given Rational Numbers

- Concept of Exponents
- Law of Exponents (For Integral Powers)
- Product law
- Quotient Law
- Power Law

- Negative Integral Exponents
- More About Exponents

- Concept of Square Roots
- Finding square roots

- Finding Square Root by Division Method
- Finding Square Root Through Prime Factorisation
- To Find the Square Root of a Number Which is Not a Perfect Square (Using Division Method)
- Properties of Square Numbers

- Arranging the Objects in Rows and Columns
- Generalized Form of Numbers
- Two-digit Numbers
- Three-digit numbers

- Some Interesting Properties
- Letters for Digits (Cryptarithms)
- Tests for Divisibility of Numbers
- Divisibility by 10

- Divisibility by 2

- Divisibility by 5

- Divisibility by 3

- Divisibility by 6

- Divisibility by 11

- Divisibility by 4

- Concept of Sets
- Representation of a set

- Roster Method
- Set-Builder Method
- Venn Diagram

- Number of elements of a set
- Types of Sets

- Empty Set
- Singleton set
- Finite set
- Infinite set
- Subset
- Superset
- Proper Subset
- Power Set
- Equal sets
- Equivalent sets
- Universal set

- Operations on sets

- Complement of a set
- Union of Sets
- Intersection of sets

- De Morgan's Laws - Difference of Sets

- Intervals

- Open Interval
- Closed Interval
- Semi-closed Interval
- Semi-open Interval

- Representation of a Set
- Descriptive Form
- Roster Form or Tabular Form
- Set Builder Form or Rule Form

- Cardinal Number of a Set
- Types of Sets
- Empty Set or Null Set
- Singleton Set
- Finite Set
- Infinite Set
- Equivalent Sets
- Equal Sets
- Universal Set
- Subset
- Proper Subset
- Disjoint Sets
- Power Set

- Subset
- Proper Subset
- Number of Subsets and Proper Subsets of a Given Set
- Super Set
- Universal Set
- Complement of a Set
- De Morgan's Law
- Some Properties of Complement Sets

- Set Operations
- Complement of a Set
- Union of Two Sets
- Intersection of Two Sets
- Difference of Two Sets
- Symmetric Difference of Sets

- Difference of Two Sets
- Distributive Laws
- Venn Diagrams

### CISCE ICSE Class 8 Mathematics Syllabus for Chapter 2: Ratio and Proportion

- Overhead Expenses
- To Find S.P., When C.P. and Gain (Or Loss) Percent Are Given
- To Find C.P., When S.P. and Gain (Or Loss) Percent Are Given
- Concept of Discount
- Computation of Tax
Computation of tax including problems involving discounts, list-price, profit, loss, basic/cost price including inverse cases

- Goods and Service Tax (Gst)
- Gst Comprises of
- Central GST
- State GST
- Integrated GST

- Concept of Principal, Interest, Amount, and Simple Interest
- Simple Interest for one year
- Simple Interest for multiple years

- Concept of Compound Interest
- To Find the Principle (P); the Rate Percent (R) and the Time
- Interest Compounded Half Yearly
- Applications of Compound Interest Formula

- Variations
- Types of Variation
- Direct variation
- Inverse variation

- Direct Variation
- Inverse Variation
- Concept for Unitary Method (With Only Direct Variation Implied)
- Concept of Arrow Method
- Time and Work
- Unitary Method
- Sharing of the money for work

### CISCE ICSE Class 8 Mathematics Syllabus for Chapter 3: Algebra

- Algebraic Expressions
- Variable
- Constant
- Algebraic Expressions
- Value of Expression
- Number line and an expression

- Degree of Polynomial
- Polynomial in one variable
- Polynomial in more than one variable

- Product , Factor and Coefficient
- Like and Unlike Terms
- Combining like Terms
- Multiplication of Algebraic Expressions
- Multiplying Monomial by Monomials

- Multiplying a Monomial by a Polynomial
- Multiplying a Polynomial by a Polynomial
- Division of Algebraic Expressions
- Dividing a Monomial by a Monomial

- Dividing a Polynomial by a Monomial

- Dividing a Polynomial by a Polynomial

- Simplification of Expressions

- Algebraic Identities
( a + b )

^{2}= a^{2}+ 2ab + b^{2}. - Product of Sum and Difference of Two Terms
- Expansion Form of Numbers
- Important Formula of Expansion
- Cubes of Binomials
- Application of Formulae

- Factorisation by Taking Out Common Factors
- Factorisation by Grouping
- Factorisation by Difference of Two Squares
- Factorisation of Trinomials
- Factorising a Perfect Square Trinomial
- Factorising Completely

- Simple Linear Equations in One Variable
- Solving Linear Inequations
- Rules to solve inequation

- Linear Equation in One Variable
- Equations Reducible to the Linear Form

- Linear Equation in Two Variables
- Replacement Set and Solution Set
- Operation of Whole Numbers on Number Line
- Concept of Properties

### CISCE ICSE Class 8 Mathematics Syllabus for Chapter 4: Geometry

- Different Types of Curves - Closed Curve, Open Curve, Simple Curve.
- Concept of Polygone
- Types of Polygons

- Convex polygon
- Concave polygon

- Sum of Angles of a Polynomial
- Sum of Exterior Angles of a Polynomial
- Regular Polynomial
- Concept of Quadrilaterals - Sides, Adjacent Sides, Opposite Sides, Angle, Adjacent Angles and Opposite Angles

- Types of Quadrilaterals
- Properties of Trapezium

- Properties of a Parallelogram

- Properties of Rectangle

- Properties of Rhombus

- Properties of a Square
- Property: The diagonals of a square are perpendicular bisectors of each other.

- Introduction of Constructions
- Construction of an Angle
- To Construct an Angle Equal to Given Angle

- To Draw the Bisector of a Given Angle

- Construction of Angles of 60°,30°,90° and 45°

- Construction of Bisector of a Line

- Construction of Parallel Lines

- Drawing the Perpendicular Bisector of a Line Segment
- Constructing a Quadrilateral
- To construct a quadrilateral, whose four sides and one angle are given.
- To construct a quadrilateral, whose three sides and two consecutive angles are given.
- To construct a quadrilateral, whose four sides and one diagonal are given.
- To construct a quadrilateral, whose three sides and two diagonals are given.
- To construct a quadrilateral if two adjacent sides and any three angle are given.

- Construction of Parallelograms
- Construction of a Rectangle When Its Length and Breadth Are Given.
- Construction of Rhombus
- Construction of Square
- Concept of Reflection Symmetry

- 2dimensional Perspective of 3dimensional Objects
- Draw 3D shapes from 2D Shapes

- Cube
- Cuboid
- Cylinder
- Sphere
- Cone

- Faces, Edges and Vertices
- Euler's Formula
- Concept of Polyhedron
- Nets for Building 3-d Shapes - Cube, Cuboids, Cylinders, Cones, Pyramid, and Prism

### CISCE ICSE Class 8 Mathematics Syllabus for Chapter 5: Mensuration

- Perimeter of Triangles
- Perimeter of a Rectangle
- Perimeter of Squares
- Area of Trapezium
- Area of a Parallelogram
- Area of a Rhombus
- Area of the rhombus if base and height are given.
- Area of the rhombus if the diagonals are given.

- Area of Circle

- Concept of Surface Area, Volume, and Capacity
- Surface Area of a Cube
- Surface Area of Cylinder
- Right Circular Cylinder
- Hollow Cylinder

- Surface Area of a Cuboid

### CISCE ICSE Class 8 Mathematics Syllabus for Chapter 6: Data Handling (Statistics)

- Concept of Data Handling
- Data Handling
- Data
- Types of Data

- Collecting Data
- Frequency
- Raw Data, Arrayed Data and Frequency Distribution
- Constructing a Frequency Table
- Frequency Distribution Table
- Ungrouped Frequency Distribution Table:
- Grouped Frequency Distribution Table:

- Inclusive Frequency Distribution

- Exclusive Frequency Distribution

- Class Intervals and Class Limits
- Graphical Representation of Data
- Bar graph
- Pie graph
- Histogram