UP Board 10 Syllabus 2025-26: Download Latest and Revised UP Class 10th Syllabus PDF with Subject-wise

Unit- 1: Number System

(1) Real numbers

Fundamental Theorem of Arithmetic - With Examples Why √2, √3, √5

Revisiting irrational numbers, verification of irrational numbers.

05 marks

Unit-2 : Algebra

1. Polynomials - Zeros of a polynomial. Relation between coefficients and zeros of quadratic polynomials.

2. Pair of linear equations in two variables --

Algebraic method for solving a pair of linear equations.

1. Substitution method

2. Deletion method

3. Quadratic Equation-

Standard Quadratic Equation ax2 + bx + c = 0, (a ≠ 0) Quadratic of Quadratic Equations (Real Roots Only)

Solution by formulas, by factorization. Difference between the discriminant of a quadratic equation and the nature of its roots

Relations. Applications of quadratic equations in daily life and written problems based on them.

4. Arithmetic Progressions

Derivation of the nth term of the arithmetic progression and the sum of the first n terms of the arithmetic progression.

8 marks

Unit 3: Coordinate Geometry

1. Line (two dimensional)-

Concepts of coordinate geometry, graphs of linear equations, distance formula, partition formula (internal division).

05 marks

Unit-4 : Geometry

1. Triangle

Definition, examples, counterexamples of similar triangles.

(a) A line drawn parallel to one side of a triangle divides the other two sides of the triangle in equal ratio.

(b) The line dividing two sides of a triangle in equal ratio is parallel to the third side.

(c) If in two triangles a pair of corresponding sides are proportional and the subtended angles are equal, then the triangles are similar.

(d) ... If in two triangles a pair of corresponding angles are equal and their corresponding sides are proportional, then the triangles are similar.

(d) If an angle of a triangle is equal to the corresponding angle of another triangle and their corresponding sides are in proportion, then the triangles will be similar.

2. Circle- tangent to a circle, point of contact

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

(b) The lengths of two tangents drawn from an external point are equal.

10 marks

Unit-5 : Trigonometry

1. Introduction to Trigonometry

'Trigonometric ratios of acute angles of a right triangle, Trigonometric ratios of 0° and 90°, Values ​​of trigonometric ratios (30°, 45°, 60°, 0°, 90°). Relations between them.

2. Trigonometric Identities

Establishing the identity and its application

3. Height and distance

Simple questions on angle of elevation, angle of depression, height, and distance (The question should not be more than two right-angled triangles). Angles of elevation/ depression should be 30, 45, and 60 degrees only

12 marks

Unit-6 : Mensuration

1. Areas related to circles -

Sector of a circle and area of ​​a segment of a circle.

2. Surface area and volume -

Surface area and volume of plane figures combined by any two of the following- cube, cuboid, sphere, hemisphere, and right circular cylinder/cone. Mixed questions (Questions related to a combination of two different types of solids, not more than this.

10 marks

Unit 7: Statistics and Probability

1. Statistics - Mean, median, and mode of grouped data.

2. Probability - Theoretical definition of probability, general questions based on a single event.

10 marks

Section A - Reading (10 marks)

1. One short unseen passage followed by three MCQs. 3x1=3

2. One unseen passage followed by three very short answer-type questions. 3x2=6

One vocabulary-based question- 1

Section B - Writing (10 marks)

3. Letter (formal/informal)/Application . 4

4. Descriptive paragraph/Report/ Article (One option based on given verbal input,

another on figurative input)in about 80-100 words. 6

Section C - Grammar (15 marks)

5. Five MCQs based on parts of speech, tenses, articles, reordering of sentences, and spellings. 5x1=5

6. Three very short answer-type questions based on narration, voice, and punctuation. 3x2=6

7. Translation of a short passage from Hindi to English. (4 sentences) 4

Section D - Literature (35 marks)

First Flight (23 marks)

Prose(15 marks)

8. Two MCQs based on the given extract. 2x1=2

9. Three MCQs based on lessons. 3x1=3

10. Two short answer-type questions in about 30-40 words each. 3+3=6

11. One long answer type question in about 60 words. 4

Poetry(08 marks)

12. Two MCQs based on the given extract. 2x1=2

13. One short answer type question based on poetry lessons in about 30-40 words 3

Or Four lines from any poem prescribed in the syllabus

14. Central idea of the given poem. 3

Footprints Without Feet(12 marks)

15. Five MCQs based on prescribed lessons. 5x1=5

16. One short answer type question in about 30-40 words. 3

17. One long answer type question in about 60 words. 4

I

India and the Contemporary World - 2 (History)

Section 1 - Events and Processes

Rise of Nationalism in Europe

Nationalism in India

Section 2 - Livelihood, Economy, and Society

The Making of a Global World

Era of Industrialization

Section 3 - Daily Life, Culture, and Politics

Printing Culture and the Modern World

Map Work

II

Contemporary India - 2 (Geography)

Unit 1

Resources and Development

Forest and Wildlife Resources

Water Resources

Agriculture

Unit 2

Mineral and Energy Resources

Manufacturing Industry

Life Lines of National Economy

Map Work

III

Democratic Politics - 2 (Civics)

Unit 1

Power-sharing and Federalism

Caste, Religion, and Gender Issues

Unit 2

Political Parties

Outcomes of Democracy

IV

Understanding of Economic Development (Economics)

Unit 1

Development

Sectors of the Indian Economy

Money and Credit

Unit 2

Globalization and Indian Economy

Consumer Rights