The NCERT Class 10 Mathematics textbook, titled Mathematics, is an essential academic resource for students aiming to strengthen their foundational knowledge and problem-solving skills in mathematics. It is meticulously structured to cover all major concepts, ranging from algebra and geometry to trigonometry and probability, preparing students for higher studies and competitive exams. Below, you’ll find a detailed overview of each chapter, along with direct download links for the respective chapters.
Class 10 Mathematics Textbook Mathematics
Here’s the list of chapters from the Class 10 Mathematics Textbook, Mathematics:
- Preface SectionChapter 1: Real NumbersChapter 2: PolynomialsChapter 3: Pair of Linear Equations in Two VariablesChapter 4: Quadratic EquationsChapter 5: Arithmetic ProgressionsChapter 6: TrianglesChapter 7: Coordinate GeometryChapter 8: Introduction to TrigonometryChapter 9: Some Applications of TrigonometryChapter 10: CirclesChapter 11: ConstructionsChapter 12: Areas Related to CirclesChapter 13: Surface Areas and VolumesChapter 14: StatisticsChapter 15: Probability
NCERT Class 10 Mathematics Book Mathematics
Preface Section
The Preface Section introduces the primary objectives of the textbook and outlines the pedagogical approach used. It emphasizes the importance of conceptual clarity and real-world applications of mathematical principles.
Download “Mathematics: Preface Section” in PDF
Chapter 1: Real Numbers
This chapter delves into the properties of real numbers. Key topics include the Euclidean division algorithm, the Fundamental Theorem of Arithmetic, and the concept of irrational numbers. It also covers the decimal expansion of real numbers, preparing students for advanced number theory.
Download “Mathematics: Chapter 1” in PDF
Chapter 2: Polynomials
Chapter 2 focuses on polynomials, their degrees, and the relationship between zeros and coefficients. Students also learn about the division algorithm for polynomials, enabling them to solve polynomial equations effectively.
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Chapter 3: Pair of Linear Equations in Two Variables
This chapter introduces pairs of linear equations and methods for solving them, such as graphical representation, substitution, elimination, and cross-multiplication. It also discusses the consistency and inconsistency of linear systems.
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Chapter 4: Quadratic Equations
Students explore the formation and solutions of quadratic equations using methods like factorization, completing the square, and the quadratic formula. Additionally, it discusses the discriminant and the nature of roots with practical applications.
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Chapter 5: Arithmetic Progressions
Arithmetic Progressions (AP) is the focus of Chapter 5. Key concepts include deriving formulas for the nth term and the sum of the first n terms. Real-life applications and pattern recognition are also emphasized.
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Chapter 6: Triangles
This chapter examines the properties of triangles, focusing on criteria for similarity, such as the Basic Proportionality Theorem and Pythagorean theorem. It includes proofs, examples, and applications of similarity.
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Chapter 7: Coordinate Geometry
Students delve into the analytical aspects of geometry in this chapter. Topics include the distance formula, section formula, and finding the area of triangles on the coordinate plane.
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Chapter 8: Introduction to Trigonometry
This foundational chapter introduces trigonometric ratios and their relationships. Students also learn about trigonometric identities and their applications in solving right-angled triangles.
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Chapter 9: Some Applications of Trigonometry
Building on Chapter 8, this chapter applies trigonometric concepts to real-life scenarios. Students solve problems involving heights and distances using angles of elevation and depression.
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Chapter 10: Circles
Chapter 10 explores the geometry of circles, focusing on properties and theorems related to tangents. It discusses the number of tangents drawn from an external point to a circle.
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Chapter 11: Constructions
This practical chapter teaches students geometric constructions, such as dividing a line segment in a given ratio and constructing tangents to a circle. It sharpens their precision and logical reasoning skills.
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Chapter 12: Areas Related to Circles
Chapter 12 focuses on calculating the areas of sectors and segments of a circle. It also deals with solving problems involving combinations of plane figures.
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Chapter 13: Surface Areas and Volumes
Students explore the surface areas and volumes of 3D shapes, including cylinders, cones, spheres, and frustums. The chapter also covers problems involving the conversion of solids from one form to another.
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Chapter 14: Statistics
Statistics introduces measures of central tendency (mean, median, mode) and graphical representation of data, such as cumulative frequency graphs, aiding in data interpretation.
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Chapter 15: Probability
This chapter provides a theoretical approach to probability, discussing basic concepts, axioms, and solving problems based on single events.
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Related Links
| Topic | Resource |
| Entire Book for Download (NCERT Official Link) | Download Mathematics Book |
| More Books in this Subject | Mathematics Subject Books in Class 10 |
| All books for Class 10 | All Class 10 NCERT Books |