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 20212022 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 20212022. 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 20212022 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 Twodimensions)  
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 Nonterminating Recurring Decimals
CBSE Class 10 Mathematics Syllabus for Algebra
 Linear Equations in Two Variables
 Graphical Method of Solution of a Pair of Linear Equations
 Graphical Method of Solving a System of Linear Equations
 Algebraic Methods of Solving a Pair of Linear Equations
 Equations Reducible to a Pair of Linear Equations in Two Variables
 Equations Reducible to Linear Equations
 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 Coefficient
 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 AP
 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
 Introduction and Standard Form of a Quadratic Equation  ax^{2} + bx + c = 0, (a ≠ 0)
 Solutions of Quadratic Equations by Factorization
 Solutions of Quadratic Equations by Completing the Square
 method of completing the square
 Nature of Roots
 Nature of Roots Based on Discriminant
 two distinct real roots, two equal real roots, no real roots
 Solutions of Quadratic Equations by Using Quadratic Formula and Nature of Roots

Two distinct real roots if b^{2} – 4ac > 0

Two equal real roots if b^{2} – 4ac = 0

No real roots if b^{2} – 4ac < 0
 Relationship Between Discriminant and Nature of Roots
 Situational Problems Based on Quadratic Equations Related to Day to Day Activities to Be Incorporated
 Quadratic Equations Examples and Solutions
Application of quadratic equation
CBSE Class 10 Mathematics Syllabus for Geometry
 Tangent to a Circle
Theorem  The 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
 Similarity of Triangles
 Basic Proportionality Theorem Or Thales Theorem
 Criteria for Similarity of Triangles
 Areas of Similar Triangles
 Rightangled Triangles and Pythagoras Property
 Similarity Triangle Theorem
If in a two triangles corresponding angles are equal then their corresponding sides are in same ratio hence two triangle are similar
 Application of Pythagoras Theorem in Acute Angle and Obtuse Angle
 Triangles Examples and Solutions
 Angle Bisector
 Similarity
 Similar triangles
 Criteria of Similarity
 AA Criterion of similarity
 SAS Criterion of similarity
 SSS Criterion of similarity  Construction of similar 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
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