CBSE Class 10 Maths Syllabus - Free PDF Download
CBSE Syllabus 2024-25 Class 10: The CBSE Class 10 Maths Syllabus for the examination year 2024-25 has been released by the Central Board of Secondary Education, CBSE. 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 2024-25 CBSE Class 10 Maths Board Exam will entirely be based on the most recent syllabus. Therefore, students must thoroughly understand the new CBSE syllabus to prepare for their annual exam properly.
The detailed CBSE Class 10 Maths Syllabus for 2024-25 is below.
Academic year:
CBSE Class 10 Mathematics Revised Syllabus
CBSE Class 10 Mathematics and their Unit wise marks distribution
CBSE Class 10 Mathematics Course Structure 2024-25 With Marking Scheme
| # | Unit/Topic | Weightage |
|---|---|---|
| I | Number Systems | 6 |
| 1.1 | Real Numbers | |
| II | Algebra | 20 |
| 2.1 | Polynomials | |
| 2.2 | Pair of Linear Equations in Two Variables | |
| 2.3 | Quadratic Equations | |
| 2.4 | Arithmetic Progressions | |
| III | Coordinate Geometry | 10 |
| 3.1 | Lines (In Two-dimensions) | |
| IV | Geometry | 6 |
| 3.3 | Constructions | |
| 4.1 | Triangles | |
| 4.2 | Circles | |
| V | Trigonometry | 15 |
| 5.1 | Introduction to Trigonometry | |
| 5.2 | Trigonometric Identities | |
| 5.3 | Some Applications of Trigonometry | |
| VI | Mensuration | 11 |
| 6.1 | Areas Related to Circles | |
| 6.2 | Surface Areas and Volumes | |
| VII | Statistics and Probability | 12 |
| 7.1 | Statistics | |
| 7.2 | Probability | |
| VIII | Internal Assessment | 20 |
| Total | - |
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Syllabus
CBSE Class 10 Mathematics Syllabus for Chapter 1: Number Systems
1.1 Real Numbers
- Introduction of Real Numbers
- Real Numbers Examples and Solutions
- Euclid’s Division Lemma
- Fundamental Theorem of Arithmetic
- Significance of the Fundamental Theorem of Arithmetic
- Fundamental Theorem of Arithmetic Motivating Through Examples
- Proofs of Irrationality
of Squareroot of 2
- Concept of Irrational Numbers
- Rational Numbers and Their Decimal Expansions
- Decimal Representation of Rational Numbers in Terms of Terminating Or Non-terminating Recurring Decimals
CBSE Class 10 Mathematics Syllabus for Chapter 2: Algebra
2.1 Polynomials
2.2 Pair of Linear Equations in Two Variables
- Introduction to linear equations in two variables
- Methods of solving linear equations in two variables
- Graphical Method
- Algebraic Methods of Solving a Pair of Linear Equations
- Substitution Method
- Elimination Method
- Cross - Multiplication Method
- Equations Reducible to a Pair of Linear Equations in Two Variables
- Consistency of Pair of Linear Equations
- Inconsistency of Pair of Linear Equations
- Algebraic Conditions for Number of Solutions
- Simple Situational Problems
- Pair of Linear Equations in Two Variables
- Pair of Linear Equations in Two Variables Examples and Solutions
- Relation Between Co-efficient
2.3 Quadratic Equations
- Quadratic Equations
- Standard Form of a Quadratic Equation
- Solutions of Quadratic Equations by Factorization
- Solutions of Quadratic Equations by Completing the Square
- Nature of Roots of a Quadratic Equation
- Relationship Between Discriminant and Nature of Roots
- Situational Problems Based on Quadratic Equations Related to Day to Day Activities to Be Incorporated
- Application of Quadratic Equation
2.4 Arithmetic Progressions
- Arithmetic Progression
- Terms and Common Difference of an A.P.
- General Term of an Arithmetic Progression
- nth Term of an AP
- general term of the AP
- Sum of First ‘n’ Terms of an Arithmetic Progressions
- Derivation of the n th Term
- Application in Solving Daily Life Problems
- Arithmetic Progressions Examples and Solutions
CBSE Class 10 Mathematics Syllabus for Chapter 3: Coordinate Geometry
3.1 Lines (In Two-dimensions)
- Coordinate Geometry
- To find distance between any two points on an axis.
- To find the distance between two points if the segment joining these points is parallel to any axis in the XY plane.
- Distance Formula
- Section Formula
- Area of a Triangle
- Graphs of Linear Equations
- Basic Geometric Constructions
CBSE Class 10 Mathematics Syllabus for Chapter 4: Geometry
3.3 Constructions
- Division of a Line Segment
- Division of Line Segment in a Given Ratio
- Construction of a Triangle Similar to a Given Triangle
- To divide a line segment in a given ratio
- To construct a triangle similar to a given triangle as per given scale factor
- Construction of Tangents to a Circle
- Construction of Tangent to the Circle from the Point Out Side the Circle
- To construct the tangents to a circle from a point outside it
- Constructions Examples and Solutions
4.1 Triangles
- Similar Figures
- Basic Proportionality Theorem (Thales Theorem)
- Theorem: If a line parallel to a side of a triangle intersects the remaining sides in two distinct points, then the line divides the sides in the same proportion.
- Criteria for Similarity of Triangles
- AAA test for similarity of triangles
- AA test for similarity of triangles
- SAS test of similarity of triangles
- SSS test for similarity of triangles
- Areas of Similar Triangles
- Theorem: When two triangles are similar, the ratio of areas of those triangles is equal to the ratio of the squares of their corresponding sides.
- Right-angled Triangles and Pythagoras Property
- Application of Pythagoras Theorem in Acute Angle and Obtuse Angle
- Triangles Examples and Solutions
- Concept of Angle Bisector
- Similarity of Triangles
- Ratio of Sides of Triangle
4.2 Circles
- Concept of Circle
- Tangent to a Circle
- Tangent theorem: A tangent at any point of a circle is perpendicular to the radius through the point of contact.
- Number of Tangents from a Point on a Circle
Theorem - The Length of Two Tangent Segments Drawn from a Point Outside the Circle Are Equal
CBSE Class 10 Mathematics Syllabus for Chapter 5: Trigonometry
5.1 Introduction to Trigonometry
- Trigonometry
- Trigonometric Ratios
- Trigonometric Ratios and Its Reciprocal
- Trigonometric Ratios of Some Special Angles
- Trigonometric Ratios of Complementary Angles
- Trigonometric Identities
- Proof of Existence
Well Defined
- Relationships Between the Ratios
5.2 Trigonometric Identities
5.3 Some Applications of Trigonometry
- Heights and Distances
- Problems involving Angle of Elevation
- Problems involving Angle of Depression
- Problems involving Angle of Elevation and Depression
CBSE Class 10 Mathematics Syllabus for Chapter 6: Mensuration
6.1 Areas Related to Circles
- Perimeter and Area of a Circle - A Review
- Areas of Sector and Segment of a Circle
- Area of the Sector and Circular Segment
- Length of an Arc
- Areas of Combinations of Plane Figures
- Circumference of a Circle
- Area of Circle
6.2 Surface Areas and Volumes
- Surface Area of a Combination of Solids
- Volume of a Combination of Solids
- Conversion of Solid from One Shape to Another
- Frustum of a Cone
- Concept of Surface Area, Volume, and Capacity
- Surface Area and Volume of Different Combination of Solid Figures
- Consideration of the time volume/surface area for solid formed using two or more shapes
- Surface Area and Volume of Three Dimensional Figures
CBSE Class 10 Mathematics Syllabus for Chapter 7: Statistics and Probability
7.1 Statistics
7.2 Probability
- Probability - A Theoretical Approach
- Classical Definition of Probability
- Type of Event - Impossible and Sure Or Certain
- assume that all the experiments have equally likely outcomes, impossible event, sure event or a certain event, complementary events,
- Sample Space
- Basic Ideas of Probability
- Concept Or Properties of Probability
- Simple Problems on Single Events
Not using set notation
