UP Board Syllabus Class 10 Maths 2024-25

UP Board Class 10 Mathematics Syllabus for 2024-25

Class 10 Syllabus of UP Board has been released on the official website for all subjects. The syllabus is taught in previous classes in a deeper way, which also makes it more extensive and tougher to cover for some students. The first step for any student to prepare for UP Board exams is to have a clear understanding of the syllabus.

Below are the links to download the latest syllabus 2024-25 and reduced syllabus 2023-24 to get an idea about the topics which are removed and added in the new syllabus.

2024-25 Latest Syllabus UP Board Class 10 Maths

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2023-24 Reduced Syllabus

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(for reference purposes only)

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What’s New in Class 10 UP Board Maths Syllabus 2025?

The latest UP Board Class 10 Maths syllabus for the 2024-25 academic session has undergone some changes to align with the evolving curriculum and competency-based learning.

• No changes, 100% last year’s syllabus to be followed
• Updated Marking Scheme: There has been a shift in how marks are allocated to different chapters, giving more importance to practical applications.

Deleted Portion in Maths Syllabus Class 10 UP Board 2025

The deleted chapters or portions of the UP Board Class 10 Maths syllabus for the 2024-25 session include significant content that was part of the previous syllabus but has been removed due to syllabus reduction. Some of the key topics likely removed include:

1. Pair of Linear Equations in Two Variables (Graphical Method of Solution, Substitution, Elimination, and Cross-Multiplication methods).
2. Triangles (specific theorems, including some related to similarity and proofs based on them).
3. Surface Areas and Volumes (topics like frustum of a cone).
4. Constructions (complex constructions like constructing a triangle similar to a given triangle).

Class 10 Maths Chapter-wise Marking Scheme UP Board 2025

Knowing the marking scheme for each chapter is crucial to planning your study time effectively. Here's the chapter-wise marking scheme for Class 10 Maths.This breakdown can guide you to prioritize your study topics based on their weight in the final exam.

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Class 10 UP Board Mathematics Exam Pattern 2025

The 2025 UP Board Maths exam for Class 10 will follow the pattern below:

• Total Marks: 100 (80 marks for the theory paper + 20 marks for internal assessment)
• Duration: 3 hours
• Types of Questions:some text
  • Very Short Answer (VSA): 1 mark each
  • Short Answer (SA): 2 or 3 marks each
  • Long Answer (LA): 5 marks each

Internal Assessment will include:

• Periodic tests (10 marks)
• Notebook submission (5 marks)
• Subject enrichment activities (5 marks)

Overview of Class 10 Maths Syllabus 2025 UP Board 2025

1. The Class 10 Maths Syllabus for the UP Board 2025 covers a variety of topics that provide a thorough understanding of mathematical principles. The syllabus is divided into various sections, each focused on enhancing a student's conceptual clarity and problem-solving skills. Students will study topics ranging from basic number systems to the complex applications of trigonometry and coordinate geometry.
2. The syllabus is divided into 15 chapters, covering topics like algebra, geometry, trigonometry, and statistics. The detailed breakdown is given below.

Detailed Chapter-wise Breakdown of Maths Class 9 CBSE Syllabus

Unit 1: Number Systems

1. Real Numbers

• Euclid’s Division Lemma: It is a method for finding the Highest Common Factor (HCF) of two integers based on division. Important for understanding the concept of divisibility.
• Fundamental Theorem of Arithmetic: Every composite number can be expressed (factorized) as a product of primes. This theorem is crucial for learning about prime factorization.
• Irrational Numbers: Proofs of irrationality for numbers like √2, √3, and √5. Students learn about non-terminating and non-repeating decimal expansions of these numbers.
• Decimal Expansions of Rational Numbers: Students learn about the terminating and non-terminating repeating decimal expansion of rational numbers based on their denominators.

Unit 2: Algebra

2. Polynomials

• Zeros of a Polynomial: This part covers finding the roots of a polynomial equation, especially quadratic equations.
• Relationship Between Zeros and Coefficients of a Polynomial: For quadratic polynomials, students learn the relationships between the sum/product of the roots and the coefficients.
• Division Algorithm for Polynomials: Polynomial division is explained, where students solve polynomial equations using division methods.

3. Pair of Linear Equations in Two Variables

• Graphical Method of Solution: Solutions to linear equations using graphs, understanding the concept of intersection points, parallel lines, and coincident lines.
• Substitution and Elimination Methods: These are algebraic methods to solve pairs of linear equations by eliminating one variable.
• Cross-Multiplication Method: Another algebraic technique to solve linear equations efficiently when the substitution or elimination method becomes too complex.
• Equations Reducible to Linear Equations: Some non-linear equations can be converted into linear form, and students are taught to solve them accordingly.

4. Quadratic Equations

• Standard Form of a Quadratic Equation: It’s the ax² + bx + c = 0 form that students need to identify and solve.
• Solutions of Quadratic Equations: Methods like factorization and the quadratic formula are used to find the roots.
• Nature of Roots: The discriminant (b² – 4ac) helps in determining the nature of the roots: real and distinct, real and equal, or imaginary.

5. Arithmetic Progressions (AP)

• nth Term of an AP: Students learn to find the nth term of an AP, which is a crucial concept for solving sequence-related problems.
• Sum of First n Terms of an AP: Formula for finding the sum of terms in an arithmetic sequence, often tested in board exams.

Unit 3: Coordinate Geometry

6. Coordinate Geometry

• Distance Formula: Formula to calculate the distance between two points on a coordinate plane. This is a fundamental tool for solving problems related to shapes and figures.
• Section Formula: This formula divides a line segment internally in a given ratio, an important concept in geometry.
• Area of a Triangle: Using the coordinates of the triangle’s vertices, students calculate the area of the triangle, which is a frequently tested concept in exams.

Unit 4: Geometry

7. Triangles

• Similar Triangles: Criteria for similarity (AAA, SAS, SSS) are taught, and problems based on similar triangles are solved.
• Basic Proportionality Theorem (Thales’ Theorem): It states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.
• Pythagoras Theorem: A critical theorem where students learn about the relationship between the sides of a right-angled triangle. The converse is also frequently used in problems.

8. Circles

• Tangent to a Circle: This concept covers the properties of tangents, especially the fact that a tangent to a circle is perpendicular to the radius at the point of contact.
• Number of Tangents from a Point to a Circle: Students learn how many tangents can be drawn from a point outside a circle to the circle, a common question in exams.

9. Constructions

• Division of a Line Segment: This covers how to divide a given line segment internally in a given ratio using geometrical methods.
• Construction of Tangents to a Circle: Methods to draw tangents to a circle from an external point, and constructing tangents without measurements.

Unit 5: Trigonometry

10. Introduction to Trigonometry

• Trigonometric Ratios: Definitions and applications of sine, cosine, and tangent functions for acute angles.
• Trigonometric Identities: Formulas like sin²θ + cos²θ = 1, and how they are used to solve problems.
• Trigonometric Ratios of Complementary Angles: Understanding how trigonometric ratios of complementary angles are related.

11. Applications of Trigonometry

• Heights and Distances: Real-life applications of trigonometry, focusing on how to use trigonometric ratios to calculate heights and distances. Problems usually involve calculating the height of an object or the distance between objects using angles of elevation and depression.

Unit 6: Mensuration

12. Areas Related to Circles

• Area of a Sector and Segment of a Circle: This chapter covers formulas to calculate the area of different parts of a circle, including sectors and segments.
• Areas of Combinations of Plane Figures: Students learn to calculate the area of combined figures like squares, rectangles, triangles, and circles.

13. Surface Areas and Volumes

• Surface Areas and Volumes of Combinations of Solid Figures: This chapter includes calculating the surface area and volume of combined solid figures like cylinders, cones, and spheres.
• Volume of a Frustum of a Cone: Students learn to find the volume of a frustum, which is a section of a cone that remains after slicing it parallel to the base.

Unit 7: Statistics and Probability

14. Statistics

• Mean, Median, and Mode of Grouped Data: Measures of central tendency for grouped data are discussed. Problems based on these concepts are very common in exams.
• Cumulative Frequency Graph (Ogive): A graphical representation used to determine the median of grouped data.

15. Probability

• Classical Definition of Probability: Basic probability concepts are taught, focusing on theoretical probability as the ratio of favorable outcomes to total outcomes.
• Simple Problems on Single Events: Students solve problems based on the likelihood of a single event, like tossing a coin or rolling a die.

Important Topics for Maths Board Exam Class 10 UP 2025

This table provides a clear structure of the important topics in the Class 10 UP Board Maths syllabus, helping students focus on essential areas for board exam preparation.

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Study Tips for Class 10 UP Maths Board Exam 2025

1. Plan Your Study Time: Create a timetable that allows you to cover each chapter while leaving room for revision.
2. Practice Regularly: Mathematics requires regular practice. Solve problems from NCERT and sample papers to strengthen your concepts.
3. Focus on Problem-Solving Skills: Don’t just memorize formulas—understand their applications and practice solving different types of problems.
4. Take Mock Tests: Regularly attempt mock tests to assess your progress and manage time efficiently.
5. Use Diagrams and Graphs: For geometry and coordinate geometry, practice drawing diagrams and graphs for better visualization and understanding.

Frequently Asked Questions

1. What are the most important chapters for Class 10 Maths UP Board?
   Ans: Key chapters include Trigonometry, Quadratic Equations, and Coordinate Geometry due to their high weightage.
2. Is there any deleted portion in the 2024-25 Maths Syllabus?
   Ans: Yes, certain advanced trigonometric identities and complex geometric constructions have been deleted.
3. How can I score well in Class 10 Maths?
   Ans: Regular practice, understanding concepts, and focusing on important topics are the key strategies to score well.