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NCERT Solutions for Class 10 Maths: In Class 10, Mathematics is considered to be one of the most important subjects. CBSE Maths for Class 10 requires logical reasoning and analytical skills which can be developed with the help of NCERT Solutions for Class 10 Maths. With the help of chapter-wise solutions for Class 10 Maths, you will be able to improve your ability to memorise formulas and master topics in preparation for the CBSE Class 10 Maths exam.
NCERT Solutions PDF for Class 10 Maths can be valuable when preparing for the term-end examination and further competitive examinations. The article contains the well-researched and reliable information compiled by subject matter experts at Embibe. The solutions have been created by experts familiarized with the CBSE marking scheme. This article will provide you with a detailed PDF of CBSE Class 10 Maths Solutions. Students can bookmark this page and directly view the NCERT solutions below.
The NCERT Class 10 Maths book contains 15 chapters each with exercises that help students practice the concepts. Students can find the NCERT exemplar solutions for class 10 maths here. For the academic session 2021-22, CBSE has divided the curriculum into two terms – Term-I and Term-II. Term-1 has 8 units while term-2 has 7 units. The term-wise NCERT Solutions for Class 10 Maths are provided below:
| NCERT Solutions Class 10 Maths for Term-2 Exam 2021-22 |
| Chapter 4: Quadratic Equations |
| Chapter 5: Arithmetic Progression |
| Chapter 9: Some Applications of Trigonometry |
| Chapter 10: Circles |
| Chapter 11: Constructions |
| Chapter 13: Surface Areas and Volumes |
Marking Scheme for Class 10 Maths Term-1 Exam
| Chapters | Marks |
|---|---|
| Chapter 1: Real Numbers | 6 |
| Chapter 2: Polynomials and Chapter 3: Pair of Linear Equations in Two Variables | 10 |
| Chapter 6: Triangles | 6 |
| Chapter 7: Coordinate Geometry | 6 |
| Chapter 8: Introduction to Trigonometry | 5 |
| Chapter 12: Area Related to Circles | 4 |
| Chapter 15: Probability | 3 |
| Total | 40 |
| Internal Assessment | 10 |
| First Term Total Marks | 50 |
Marking Scheme for Class 10 Maths Term-2 Exam
| Chapters | Marks |
|---|---|
| Chapter 4: Quadratic Equations and Chapter 5: Arithmetic Progression | 10 |
| Chapter 9: Some Applications of Trigonometry | 7 |
| Chapter 10: Circles and Chapter 11: Constructions | 9 |
| Chapter 13: Surface Areas and Volumes | 6 |
| Chapter 14: Statistics | 8 |
| Total | 40 |
| Internal Assessment | 10 |
| Second Term Total Marks | 50 |
CBSE NCERT Solutions for Class 10 Maths will help students complete their assignments and homework on time whilst supporting them in their board exam preparation. It will also help the students understand the concepts better.
Before getting into the detailed NCERT chapter-wise solutions for class 10 Maths, let us understand each chapter of NCERT Class 10 Maths book.
NCERT Solutions Class 10 Maths Chapter 1: After understanding some basic rules regarding real and irrational numbers in earlier grades, the first chapter of Class 10 Maths starts with some of the most critical concepts in Algebra.
The Division Lemma (lemma – an algorithm, a proven statement used to prove other statements) by Euclid is one of the first concepts that students will learn, followed by the Fundamental Theorem of Arithmetic by Carl Freidrich Gauss.
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NCERT Math Solution Class 10 Chapter 2: Expanding from the basics of polynomials learned in earlier classes, the chapter explains the concept of degree of polynomials and how polynomial with degree 1 is linear polynomial, degree 2 a quadratic polynomial, and degree 3 a cubic polynomial.
NCERT Maths Class 10 Solutions Chapter 3: In this chapter, we will learn several methods such as the substitution method, elimination method, and cross-multiplication method. The final concept in the chapter is the reduction of equations in two variables.
NCERT Maths Solution Class 10 Chapter 4: In this chapter, we will learn the standard form of quadratic equations, different methods of solving quadratic equations (by factorisation, by completing the square), and the nature of roots. The Quadratic Equation Class 10 PDF solutions will be extremely helpful.
NCERT Solutions Maths Class 10 Chapter 5: Progressions are found in nature as well as in Mathematics. One of the most important ones is the Fibonacci sequence (0, 1, 1, 2, 3, 5, 8, 13, 21,…). However, if we want to find a particular number in the sequence such as the 30th or 40th number, we have to use arithmetic progression. By using simple formulas of arithmetic progression it is possible to find numbers at specific places in a long series.
NCERT Maths Solutions Class 10 Chapter 6: Coming to geometry, we start with triangles. In this chapter, we will learn how similar triangles follow similarities in sizes and angles, and how we can determine similarities to solve problems. We will learn through exercises how to determine such similarities and further learn how to even find areas of triangles that are similar.
Class 10th Maths NCERT Solutions Chapter 7: Furthering the knowledge of triangles, this chapter teaches how we can find the distance between two points through the distance formula for triangles. Similarly, we will also learn how to find areas of triangles through a sectional formula for triangles.
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NCERT Solution Class 10 Maths Chapter 8: In Class 10, we finally get to trigonometry – one of the most interesting and practical concepts in the book. Trigonometry is the measurement of triangles. Through limited information on angles/distances, formulas in trigonometry help us find areas and distances.
NCERT Class 10 Math Solution Chapter 9: After learning the basics of trigonometry, we will delve into some practical applications of trigonometry. Through the use of trigonometry, we will try to solve practical problems by using concepts such as the line of sight, angle of depression, and angle of elevation to determine height or distance.
NCERT Solution Maths Class 10 Chapter 10: Students learn about elements related to a circle such as a chord, arc, etc. in Class 9. In this chapter, students will learn about tangents and the different scenarios when lines touch or bisect circles on a given plane. How a line interacts with a circle opens up different possibilities and problems and students will learn how to solve them.
Maths NCERT Class 10 Chapter 11 Solutions: In this chapter on Construction, we will apply the rules of geometry learned so far, and construct shapes from the dimensions and measurements provided. Using tools such as a ruler, pencil, and protractor, students will form shapes according to different problems in the exercises.
Referring to Construction Class 10 PDF solutions is essential for this chapter to check if the structure created by students is as intended in the question.
Maths NCERT Solution Class 10 Chapter 12: Circles are some of the commonly found shapes in our surroundings. By merging lines and other shapes within circles, students will learn how to measure the areas of different segments using theorems and the number Pi.
Class 10 Math Solution Chapter 13: After looking at shapes on a plane, we move on to a 3-dimensional world and look at shapes like squares or rectangles as cubes or cuboids, triangles as cones, and circles as cylinders or spheres. We will learn in this chapter how to view objects as shapes and solve practical problems such as finding surface area and volume as mentioned in the exercises.
Class 10th Maths NCERT Solution Chapter 14: Used holistically in business, economics, and many other areas, we will learn how to find mean (average), median, and mode from a grouped dataset. After that, we will also study how to portray data in a graphical manner to understand trends and correlations within data.
NCERT Class 10th Maths Solution Chapter 15: From weather, sports, politics, to insurance, the probability is used in a multitude of areas. Students will learn some theoretical aspects of probability and apply them to determine impossible events, certain and uncertain events. Conclusively, the concepts of probability in the chapter will allow students to learn how to determine the outcomes of events through formulas.
CBSE Class 10 Maths differs from other subjects in a few ways. Because rote learning will not help you improve your score, you should focus more on practice. NCERT Solutions for Class 10 will assist you in developing fundamental abilities that will enable you to prepare for CBSE Class 10 board examinations, however, this will not be adequate if you choose to continue further education.
Before moving on to the next level, you must have a firm grasp of the ideas. Books like RD Sharma and Class 10 Maths NCERT Solutions can help you with this. Apart from that, you must answer CBSE Class 10 Maths textbook solutions if you want to prepare for admission examinations.
We understand how difficult it may be for a student to gather the necessary study resources. As a result, our specialists have developed NCERT Class 10 Maths Solutions, NCERT Class 10 Maths Notes, Class 10 Maths MCQs, and Class 10 Maths Important Questions as part of our Class 10 Study resources.
You will save time by using these study tools, and you will be able to study more efficiently. NCERT Solutions for Class 10 Maths are well-explained and provide you with a thorough understanding of various topics.
Math is a practice topic, therefore you should try not to make the same mistakes you did in the last test and instead learn from them. To enhance your score, you need to master time management. Time is the most valuable asset, and students should grasp the value of time and manage it well.
The NCERT Solutions for Class 10 Maths provided here will offer you a better understanding of the subject, allowing you to pass with flying colours. During test time, most students become worried, which has a negative influence on their academics, and their minds become tired of studying.
A person believes that they are unable to study. It is important to thicken oneself in such a scenario. Pay attention to your inner voice. Make yourself aware of the significance of this exam. When you thicken yourself in this way, energy will flow from inside you, assisting you in your studies.
The FAQs on NCERT Solutions for Class 10 Mathematics are mentioned below:
Q1: How many chapters does the NCERT Maths textbook have?
Ans: The NCERT Maths textbook for Class 10 features 15 chapters.
Q2: Why is it important to refer to NCERT 10 Maths Solutions?
Ans: Maths NCERT Class 10 Solutions for Class 10 exercise questions by Embibe provide a detailed and step-by-step explanation. Keeping the concepts in mind, they are easy to understand and easy to practice.
Q3: How can I score maximum marks in the 10th Maths exam?
Ans: The most important thing is to practice sums and problems every day. Give special attention to units like Algebra, Trigonometry, Statistics, and Probability as these topics have the highest weightage and can help you score maximum marks in the exam.
Q4: What are the benefits of CBSE Class 10 Maths solutions?
Ans: The benefits of having a Class 10 Maths NCERT solution are that you can refer to them later in offline mode. You don’t have to wait for your tutors to get your doubts cleared.
Q5: Is the NCERT Maths textbook enough for Class 10 Board Exams?
Ans: Yes, for the Class 10 board exam, the NCERT maths textbook is enough. However, you must also solve previous year’s papers and sample papers.
Q6: How to prepare for Class 10 Maths exams?
Ans: To get a good score in your board exams considers practising every chapter at least once. After doing so, you can attempt full course tests or chapter-wise tests for NCERT Class 10 Maths at Embibe. On Embibe, you can accurately track your progress and identify weak areas. Moreover, students can also refer to NCERT exemplar solutions for class 10 Maths.
We hope this article helps you. If you have any questions, feel to ask in the comment box below. We will get back to you at the earliest.
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