CISCE Syllabus For Class 8 Mathematics: Knowing the Syllabus is very important for the students of Class 8. Shaalaa has also provided a list of topics that every student needs to understand.
The CISCE Class 8 Mathematics syllabus for the academic year 2021-2022 is based on the Board's guidelines. Students should read the Class 8 Mathematics Syllabus to learn about the subject's subjects and subtopics.
Students will discover the unit names, chapters under each unit, and subtopics under each chapter in the CISCE Class 8 Mathematics Syllabus pdf 2021-2022. They will also receive a complete practical syllabus for Class 8 Mathematics in addition to this.
Academic year:
CISCE Class 8 Mathematics Revised Syllabus
CISCE Class 8 Mathematics and their Unit wise marks distribution
CISCE Class 8 Mathematics Course Structure 2021-2022 With Marking Scheme
| # | Unit/Topic | Marks |
|---|---|---|
| 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 | - |
Syllabus
I Number System
1.1 Rational Numbers
- Concept of 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
1.2 Exponents
- Concept of Exponents
- Law of Exponents (For Integral Powers)
- Product law
- Quotient Law
- Power Law
- Negative Integral Exponents
- More About Exponents
1.3 Squares and Square Root
1.4 Cubes and Cube Roots
1.5 Playing with Numbers
- Introduction of Playing with Numbers
- Generalized Form of Numbers
- Two-digit Numbers
- Three-digit numbers
- Some Interesting Properties
- Letters for Digits (Cryptarithms)
- Tests for Divisibility of Numbers
1.6 Sets
- Concept of Sets
- 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
- 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 Diagram
II Ratio and Proportion
2.1 Percent and Percentage
2.2 Profit, Loss and Discount
- 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
2.3 Interest
- 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
2.4 Direct and Inverse Variations
- 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
III Algebra
3.1 Algebraic Expressions
- 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 a Monomial by a Polynomial
- Multiplying a Polynomial by a Polynomial
- Division of Algebraic Expressions
- Simplification of Expressions
3.2 Identities
3.3 Factorisation
3.4 Linear Equations in One Variable
3.5 Linear Inequations
IV Geometry
4.1 Understanding Shapes
- 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
4.2 Special Types of Quadrilaterals
4.3 Constructions
- Introduction of Constructions
- Construction of an Angle
- 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.
- Construction of Parallelograms
- Construction of a Rectangle When Its Length and Breadth Are Given.
- Construction of Rhombus
- Construction of Square
- Concept of Reflection Symmetry
4.4 Representing 3-D in 2-D
- 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
V Mensuration
5.1 Area of a Trapezium and a Polygon
- 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
5.2 Surface Area, Volume and Capacity
- 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
VI Data Handling (Statistics)
6.1 Data Handling
- 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
6.2 Probability
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