UP Board Class 10 Maths Syllabus 2025-26 – Download PDF, Chapter-Wise Marks Distribution

Unit

Chapters

Expected Marks

Unit I: Number Systems

Real Numbers

6

Unit II: Algebra

Polynomials

Pair of Linear Equations in Two Variables

Quadratic Equations

Arithmetic Progressions

20

Unit III: Coordinate Geometry

Coordinate Geometry

6

Unit IV: Geometry

Triangles

Circles

15

Unit V: Trigonometry

Introduction to Trigonometry

Some Applications of Trigonometry

12

Unit VI: Mensuration

Areas related to Circles

Surface Areas and Volumes

10

Unit VII: Statistics and Probability

Statistics

Probability

11

Chapter Name

Topics

1. Real Numbers

1.1 Introduction
1.2 The Fundamental Theorem of Arithmetic
1.3 Revisiting Irrational Numbers
1.4 Summary

2. Polynomials

2.1 Introduction
2.2 Geometrical Meaning of the Zeros of a Polynomial
2.3 Relationship between Zeros and Coefficients of a Polynomial
2.4 Summary

3. Pair of Linear Equations in Two Variables

3.1 Introduction
3.2 Graphical Method of Solution of a Pair of Linear Equations
3.3 Algebraic Methods of Solving a Pair of Linear Equations
3.4 Summary

4. Quadratic Equations

4.1 Introduction
4.2 Quadratic Equations
4.3 Solution of a Quadratic Equation by Factorisation
4.4 Nature of Roots
4.5 Summary

5. Arithmetic Progressions

5.1 Introduction
5.2 Arithmetic Progressions
5.3 nth Term of an AP
5.4 Sum of First n Terms of an AP
5.5 Summary

6. Triangles

6.1 Introduction
6.2 Similar Figures
6.3 Similarity of Triangles
6.4 Criteria for Similarity of Triangles
6.5 Summary

7. Coordinate Geometry

7.1 Introduction
7.2 Distance Formula
7.3 Section Formula
7.4 Summary

8. Introduction to Trigonometry

8.1 Introduction
8.2 Trigonometric Ratios
8.3 Trigonometric Ratios of Some Specific Angles
8.4 Trigonometric Identities
8.5 Summary

9. Some Applications of Trigonometry

9.1 Heights and Distances
9.2 Summary

10. Circles

10.1 Introduction
10.2 Tangent to a Circle
10.3 Number of Tangents from a Point on a Circle
10.4 Summary

11. Areas Related to Circles

11.1 Areas of Sector and Segment of a Circle
11.2 Summary

12. Surface Areas and Volumes

12.1 Introduction
12.2 Surface Area of a Combination of Solids
12.3 Volume of a Combination of Solids
12.4 Summary

13. Statistics

13.1 Introduction
13.2 Mean of Grouped Data
13.3 Mode of Grouped Data
13.4 Median of Grouped Data
13.5 Summary

14. Probability

14.1 Probability — A Theoretical Approach
14.2 Summary