CBSE Class 10 Mathematics Syllabus 2026: CBSE 10th Mathematics Syllabus PDF Download

I

Number Systems

6

II

Algebra

20

III

Coordinate Geometry

6

IV

Geometry

15

V

Trignometry

12

VI

Mensuration

10

VII

Statistics and Probability

11

Total Marks in Theory

80

Internal Assessment

20

Total Marks

100

I

Number Systems

1. Real number
Statements of the Fundamental Theorem of Arithmetic are made after analysing past work and after illuminating and inspiring with examples. proofs of irrationality.

II

Algebra

1. Polynomials

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

2. Pair of Linear Equations in Two Variables
a pair of two-variable linear equations with a graphic representation of their consistency/inconsistency.
Algebraic requirements for the quantity of solutions. algebraic solution of two linear equations in two variables, using substitution and elimination. Situational problems that are easy.

3. Quadratic Equations
Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic
equations (only real roots) by factorization, and by using quadratic formula. Relationship
between discriminant and nature of roots.
Situational problems based on quadratic equations related to day to day activities to be
incorporated.

4. Arithmetic Progressions
Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application.

III

Coordinate Geometry

Coordinate Geometry
Concepts of coordinate geometry, graphs of linear equations. Distance formula.
Section formula (internal division).

IV

Geometry

1. Triangles
Definitions, examples, counter examples of similar triangles.
1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar. 5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.

2. Circles
Tangent to a circle at, point of contact

1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.

2. (Prove) The lengths of tangents drawn from an external point to a circle are equal.

V

Trigonometry

1. Introduction to Trigonometry
Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0o and 90o. Values of the trigonometric ratios of 30, 45 and 60 degrees . Relationships between the ratios.

2. Trigonometric Identities
Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given

3. Heights And Distances-Angle of elevation, Angle of Depression.
Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation/depression should be only 30°, 45°, 60°.

VI

Mensuration

1. Areas Related To Circles
area of a circle's sectors and segments. problems based on the surfaces and edges of the aforementioned planar models. (Only central angles of 60°, 90°, and 120° should be used for calculating the area of a section of a circle.

2. Surface Areas and Volumes
Surface areas and volumes of combinations of any two of the following: cubes, cuboids,
spheres, hemispheres and right circular cylinders/cones.

VII

Statistics & Probability

1. Statistics
Mean, median and mode of grouped data (bimodal situation to be avoided).

2. Probability
Classical definition of probability. Simple problems on finding the probability of an
event.

Chapter 1: Real Number

2–7

15–18

1.2 Euclid’s division lemma

1.5 Revisiting rational numbers and their decimal expansions

Chapter 2: Polynomials

33–37

2.4 Division algorithm for polynomials

Chapter 3:Pair of Linear Equations in Two Variables

39–46

57–69

3.2 Pair of linear equations in two variables

3.3 Graphical method of solution of a pair of linear equations3.

4.3 Cross-multiplication method

3.5 equation reducible to a pair of linear equations in two variables

Chapter 4: Quadratic Equations

76–88

91–92

4.4 Solution of a quadratic equation by completing the squares

Chapter6: Triangles

141–144

144–154

6.5 Areas of similar triangles

6.6 Pythagoras theorem

Chapter7: Coordinate Geometry

168–172

7.4 Area of a triangle

Chapter 8: Introduction to Trigonometry

87–190

193–194

8.4 Trigonometric ratios of complementary angles

Chapter 9: Some Applications of Trigonometry

195–196

205

9.1 Introduction

Chapter 11: Construction

216–222

11.1 Introduction

11.2 Division of a line segment

11.3 Construction of tangents to a circle

11.4 Summary

Chapter 12: Areas Related to Circles

223

224–226

231–238

12.1 Introduction

12.2 Perimeter and area of acircle- A review

12.4 Areas of combinations of plane figures

Chapter 13: Surface Areas and Volumes

248–252

252–259

13.4 Conversion of solid from one shape to another

13.5 Frustum of a cone

Chapter 14: Statistics

289–294

14.5 Graphical representation of cumulative frequency distribution

Chapter 15: Probability

295–296

311–312

15.1 Introduction Exercise

15.2 (Optional)