The NCERT Exemplar book for Class 10 Math is a complete resource that supports the NCERT Mathematics textbook for Class 10 students. It includes additional practice problems and exercises to help students better understand and use mathematical concepts.
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The book is divided into various chapters, each focusing on different topics. Let’s explore the chapters included in the Class 10 Maths NCERT Exemplar book:
- Chapter 1: Real Numbers This chapter introduces the concept of real numbers, including rational and irrational numbers. It covers topics like Euclid’s division algorithm, HCF and LCM of numbers, and the properties of real numbers.
- Chapter 2: Polynomials The chapter deals with polynomials and their various aspects. It includes topics such as zeros of a polynomial, the relationship between zeroes and coefficients of a polynomial, and division algorithm for polynomials.
- Chapter 3: Pair of Linear Equations in Two Variables This chapter focuses on solving a pair of linear equations in two variables. It covers topics like graphical representation of linear equations, algebraic methods of solving linear equations, and word problems based on these concepts.
- Chapter 4: Quadratic Equations Quadratic Equations introduces the concept of quadratic equations and their solutions. The chapter covers topics like the methods of solving quadratic equations, nature of roots, and word problems involving quadratic equations.
- Chapter 5: Arithmetic Progressions This chapter deals with arithmetic progressions, including topics such as finding the nth term of an AP, sum of the first n terms of an AP, and word problems based on these concepts.
- Chapter 6: Triangles Triangles covers various properties and theorems related to triangles. It includes topics such as congruence of triangles, similarity of triangles, Pythagoras theorem, and applications of the theorem.
- Chapter 7: Coordinate Geometry This chapter introduces the concept of coordinate geometry and its applications. It covers topics like distance formula, section formula, area of a triangle using coordinate geometry, and more.
- Chapter 8: Introduction to Trigonometry This chapter focuses on trigonometric ratios, trigonometric identities, and their applications. It covers topics like trigonometric ratios of complementary angles, trigonometric identities, and simple problems involving heights and distances.
- Chapter 9: Some Applications of Trigonometry This chapter explores real-life applications of trigonometry. It includes topics like heights and distances, angle of elevation and depression, and problems related to shadows and similar triangles.
- Chapter 10: Circles Circles introduces the properties and theorems related to circles. It covers topics such as tangents to a circle, theorems related to the lengths of tangents drawn from an external point, and more.
- Chapter 11: Constructions This chapter focuses on geometric constructions using a compass and straightedge. It covers topics like constructing different types of triangles, bisecting angles, and dividing a line segment into a given ratio.
- Chapter 12: Areas Related to Circles Areas Related to Circles deals with the area of different figures associated with circles. It covers topics like areas of sectors and segments of a circle, and problems related to the length of an arc.
- Chapter 13: Surface Areas and Volumes This chapter discusses the surface areas and volumes of various three-dimensional shapes like cubes, cuboids, cylinders, cones, and spheres. It also includes problems related to composite solids.
- Chapter 14: Statistics and Probability This chapter covers topics related to statistics and probability. It includes concepts like mean, median, mode, cumulative frequency, and probability of an event.
Overall, the NCERT Exemplar Book for Class 10 Mathematics is a great tool for helping students build a solid mathematical foundation. It is advised that students study both this book and the NCERT textbook in order to fully understand the topics and gain experience in many problems to solve.
Source: https://ncert.nic.in/exemplar-problems.php
