CBSE Syllabus For Class 10 Mathematics: Knowing the Syllabus is very important for the students of Class 10. Shaalaa has also provided a list of topics that every student needs to understand.

The CBSE Class 10 Mathematics syllabus for the academic year 2022-2023 is based on the Board's guidelines. Students should read the Class 10 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 CBSE Class 10 Mathematics Syllabus pdf 2022-2023. They will also receive a complete practical syllabus for Class 10 Mathematics in addition to this.

## CBSE Class 10 Mathematics Revised Syllabus

CBSE Class 10 Mathematics and their Unit wise marks distribution

### CBSE Class 10 Mathematics Course Structure 2022-2023 With Marking Scheme

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

I | Number Systems | 6 |

101 | Real Numbers | |

II | Algebra | 20 |

201 | Pair of Linear Equations in Two Variables | |

202 | Arithmetic Progressions | |

203 | Quadratic Equations | |

204 | Polynomials | |

III | Geometry | 6 |

301 | Circles | |

302 | Triangles | |

303 | Constructions | |

IV | Trigonometry | 15 |

401 | Heights and Distances | |

402 | Trigonometric Identities | |

403 | Introduction to Trigonometry | |

V | Statistics and Probability | 12 |

501 | Probability | |

502 | Statistics | |

VI | Coordinate Geometry | 10 |

601 | Lines (In Two-dimensions) | |

VII | Mensuration | 11 |

701 | Areas Related to Circles | |

702 | Surface Areas and Volumes | |

VIII | Internal Assessment | 20 |

Total | - |

## Syllabus

### CBSE Class 10 Mathematics Syllabus for Number Systems

- Introduction of Real Numbers
- Real Numbers Examples and Solutions
- Euclidâ€™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
- Revisiting 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 Algebra

- Linear Equation in Two Variables
- Graphical Method of Solution of a Pair of Linear Equations
- Algebraic Methods of Solving a Pair of Linear Equations
- 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

- 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 A.P.
- Sum of the First 'N' Terms of an Arithmetic Progression

- Derivation of the n th Term
- Application in Solving Daily Life Problems
- Arithmetic Progressions Examples and Solutions

- 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

### CBSE Class 10 Mathematics Syllabus for Geometry

- 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

- Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles

- 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
- In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of remaining two sides.

- Application of Pythagoras Theorem in Acute Angle and Obtuse Angle
- Triangles Examples and Solutions
- Angle Bisector
- Similarity of Triangles
- Ratio of Sides of Triangle

- 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

### CBSE Class 10 Mathematics Syllabus for 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 Statistics and 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

### CBSE Class 10 Mathematics Syllabus for Coordinate Geometry

- 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 Mensuration

- 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

- 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