UP Board 10th Maths Syllabus 2025 PDF Download, Unit-wise Topics

UP Board 10th Maths Syllabus 2025 is updated by Uttar Pradesh Madhyamik Shiksha Parishad on the official portal: upmsp.edu.in. The UP Board conducts the main examination based on the revised syllabus of each subject. Students are required to cover all the chapters included in the UP Board 10th Class syllabus. Read the article full to know the unit-wise UP Board Maths syllabus 2025.

How to Download UP Board 10th Maths Syllabus 2025?

It is very simple to download the syllabus as PDF from the official site. Students and teachers may follow the steps:

  • Go to the official site upmsp.edu.in syllabus 2025.
  • In the home page, click on ‘Course 24 – 25’ link found on the left side drop down bar.
  • A new page displays with various class subject-wise syllabus as PDF.
  • Search ‘UP 10th Maths Syllabus 2025’ in particular from the list of subjects of class 10.
  • Click on ‘Maths’ link to download the PDF.
  • A new page will open to display the latest syllabus updated by UPMSP.
  • Save, Download and take a print out of the PDF for studying purposes.

UP Board Class 10 Maths Syllabus PDF Download Links

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UP Board Class 10 Mathematics Syllabus 2025

Uttar Pradesh Board of Madhyamik Shiksha Parishad has updated chapter-wise details of UP Board class 10 mathematics 2025. Students are required to cover all the topics before the UP Board Exam Date 2025

1 – Number SystemEuclid Division Algorithm, Fundamental Theorem of Arithmetic with example, Verification of Irrational Numbers, Representation of Rational Numbers in terms of consecutive non-recurring Decimals.
2 – AlgebraPolynomial Numbers: Polynomial numbers, Relation of coefficients and Zeros of Quadratic Polynomials, Statement of Division Algorithm for Polynomial with Real Coefficients and General Questions on it.

Pair of Linear Equation with Two Variables: Pair of Linear Equation in Two variables, Solution of Linear Equation by Graphical Method, Algebraic Method of solving a Linear Equation – Replacement Method, Deletion Method and Cross multiplication method, Reversible equations in pair of linear equations of two variables.

Quadratic Equation: Standard Quadratic Equation ax2+bx+c=0, (a not equal to 0), solve the quadratic equation by making it a perfect square by the quadratic formulas, Relationship between Discriminant of Quadratic equation and the nature of its roots, Day-to-day use of quadratic equations and questions based on them.

Arithmetic Progression: Derivation of nth Series of Arithmetic Progression and sum of first n terms, Use of AP in solving problems related to real life.
3 – Coordinate GeometryConcept of coordinate Geometry, graph of linear equation, Distance Formula, Section Formula, Area of Triangle.
4 – GeometryTriangles: Definition and Example of Congruent Triangle
A line drawn parallel to one side of a triangle divides the remaining two sides in equal proportion.

The line that divides two sides of a triangle in equal proportion is parallel to the third side.

Triangles are congruent if a pair of adjacent angles is equal and adjacent sides are proportional.

Triangles are congruent if one angle of one triangle is equal to the corresponding angle of another triangle and their corresponding sides are proportional.

If a perpendicular is placed on the Hypotenuse from the vertex of the right triangle, then the triangles on either side of the perpendicular line are mutual and identical to the original triangle.

The ratio of area of congruent triangle is proportional to the squares of the corresponding sides.

In the right angle triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is the right angle.

Circle – Tangent Line and Tangent Point of Circle
The tangent line of the circle will be perpendicular to the radius passing through the tangent point.

Two tangents drawn from an external point are equal in length.

Divide the given line segment in a given ratio

Drawing a tangent from a point given outside the circle.

Construction of Triangle congruent to given triangle.
5 – TrigonometryIntroduction to trigonometry: Trigonometric ratios of acute angles of right triangles, Trigonometric ratios of 0 degree and 90 Degrees, Trigonometric ratio values (30͒, 45͒, 60͒, 0͒ & 90͒) and relationship between them.

Trigonometric Identities: Establishing trigonometric identities and its application, trigonometric ratios of complementary angles.

Height & Distance: Elevation angle, Depression angle, Basic questions on Height and Distance, Elevation and Depression angle should only be 30͒, 45͒ & 60͒.
6 – MensurationArea of Circle: Area of Circle, Sector of Circle, Area of Segment, Area of combination of the above plane figures (Questions will be for 60͒, 90͒ & 120͒ angle only)
Surface Area & Volume: Surface Area and Volume of plane shapes, connected by any two of the following – Cube, cuboid, sphere, hemisphere, ellipse, cylinder, cone and tapered cone, questions related to conversions of one kind of solid shape into another and other similar questions.
7 – Statistics and ProbabilityStatistics: Mean, Median, Mode of classified data, cumulative frequency graph.
Probability: Theoretical Definition of Probability, Questions based on a single event.

UP Board Class 10 Maths 2025 – Marks Distribution

We have shared chapter-wise marks distributed in Mathematics for the main examination. Check the table below and prepare as well to score UP Board class 10 Passing Marks 2025:

Unit NameMarks
Number system5
Coordinate geometry5
Statistics and Probability10
Project work30
Grand Total100

Also read

FAQs Related to UP Board class 10 Maths Syllabus 2025

  1. What are the chapters included in Uttar Pradesh Board Maths Syllabus 2025?

    Geometry, Coordinate Geometry, Mensuration, Statistics & Probability, Algebra, Trigonometry are the subjects included in UP Board class 10 maths syllabus 2025.

  2. Is it easy to cover UP Class 10 Mathematics syllabus 2025?

    Students should cover the unit-wise syllabus during the class hours. Only then, they can cover all the syllabus to face the exam with confidence.

  3. How many hours should I spend to cover each chapter in UP Board class 10 maths syllabus 2025?

    It is based on the learning capacity of students to cover the chapters. Keep practising on every problem to answer hassle-free during the main examination. 

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