NCERT Solutions For Class 10 Maths: Students looking for NCERT Solutions for Class 10 Maths can refer to this article. NCERT Maths Solutions provided in this article can be downloaded for free without any signup. Teachers and academic experts at Embibe have created detailed NCERT Solutions for Class 10 exercises questions of the NCERT Books. Scroll down to download Maths NCERT Solutions for Class 10th PDF.
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NCERT Maths Book Class 10 Solutions PDF Free Download: NCERT Solutions For Class 10 Maths PDF
The NCERT Class 10 Maths book contains 15 chapters each with its exercises that help students practice the concepts. The links to view/download Class 10 Maths NCERT solutions for each chapter are as below:
- Chapter 1: Real Numbers
- Chapter 2: Polynomials
- Chapter 3: Pair of Linear Equations in Two Variables
- Chapter 4: Quadratic Equations
- Chapter 5: Arithmetic Progressions
- Chapter 6: Triangles
- Chapter 7: Coordinate Geometry
- Chapter 8: Introduction to Trigonometry
- Chapter 9: Some Applications of Trigonometry
- Chapter 10: Circles
- Chapter 11: Constructions
- Chapter 12: Areas Related to Circles
- Chapter 13: Surface Areas and Volumes
- Chapter 14: Statistics
- Chapter 15: Probability
| Maths & Science Mock Tests – Class 10 | Class 10 Practice Questions |
Class 10 NCERT Maths Book Solution PDF Download: NCERT 10th Maths Unit-Wise Weightage Distribution
The unit-wise weightage distribution as per the CBSE Class 10 Maths Sample Paper and Class 10 Marking Scheme is tabulated below:
| Unit No & Name | Weightage |
| Unit 1 – Number System | 06 |
| Unit 2 – Algebra | 20 |
| Unit 3 – Coordinate Geometry | 06 |
| Unit 4 – Geometry | 15 |
| Unit 5 – Trigonometry | 12 |
| Unit 6 – Mensuration | 10 |
| Unit 7 – Statistics And Probability | 11 |
| Internal Assessment | 20 |
| Total Marks | 100 Marks |
Now let’s understand what are the topics and sub-topics you will learning in NCERT Book Solutions for Class 10 Maths.
Chapter 1: Real Numbers
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. T
| Chapter 1 NCERT Maths Class 10 PDF Solutions |
Chapter 2: Polynomials
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 a linear polynomial, degree 2 a quadratic polynomial, and degree 3 a cubic polynomial.
| NCERT Solution for Class 10 Maths Chapter 2 PDF |
Chapter 3: Pair Of Linear Equations In Two Variables
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 Solutions for Class 10th Maths Chapter 3 PDF |
Chapter 4: Quadratic Equations
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 factorization, by completing the square), and the nature of roots. The Quadratic Equation Class 10 PDF solutions will be extremely helpful.
| Class 10 NCERT Solutions Maths Chapter 4 PDF |
Chapter 5: Arithmetic Progressions
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 Solution Class 10th Maths Chapter 5 PDF |
Chapter 6: Triangles
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 about how to determine such similarities and further learn how to even find areas of triangles that are similar.
| NCERT Solutions for Class 10 Maths Chapter 6 PDF |
Chapter 7: Coordinate Geometry
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.
| NCERT Solutions for Class 10 Maths Chapter 7 PDF |
Chapter 8: Introduction To Trignometry
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 (metry) of triangles (trigono). Through limited information on angles/distances, formulas in trigonometry help us find areas and distances.
| NCERT Solutions for Class 10 Maths Chapter 8 PDF |
Chapter 9: Some Applications Of Trigonometry
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 Solutions for Class 10 Maths Chapter 9 PDF |
Chapter 10: Circles
NCERT Solution Of Maths Class 10 Chapter 10: Students have learned 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.
| NCERT Solutions for Class 10 Maths Chapter 10 PDF |
Chapter 11: Constructions
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 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.
| NCERT Solutions for Class 10 Maths Chapter 11 PDF |
Chapter 12: Areas Related To Circles
Math 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.
| NCERT Solutions for Class 10 Maths Chapter 12 PDF |
Chapter 13: Surface Areas And Volumes
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.
| NCERT Solutions for Class 10 Maths Chapter 13 PDF |
Chapter 14: Statistics
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 learning that, we will also study how to portray data in a graphical manner to understand trends and correlations within data.
| NCERT Solutions for Class 10 Maths Chapter 14 PDF |
Chapter 15: Probability
NCERT Class 10th Maths Solution Chapter 15: From weather, sports, politics, to insurance, 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.
| NCERT Solutions for Class 10 Maths Chapter 15 PDF |
Also, Download:
- NCERT Solutions For Class 10 Science
- NCERT Solutions for Class 10 Social Science
- NCERT Solutions for Class 10 English
Maths NCERT Solutions Class 10: Deleted Topics
Since the CBSE Syllabus is reduced by up to 30%, the officials have removed some of the Class 10 Maths topics for the academic year of 2020-21. Thus, during the board exam preparation, candidates can exclude the following NCERT Maths Class 10 topics:
Why Embibe For NCERT Class 10 Maths Solutions?
Maths Class 10 NCERT Solutions provided by Embibe are very good for understanding topics and practicing Maths. Here’s why:
- Deeper Understanding of Topics: In Mathematics, knowing an answer to a problem or knowing how to solve a particular kind of question is not important. It is crucial to understand the concepts within algebra, geometry, statistics, and trigonometry to clear Class 10 Maths and also be prepared for concepts of higher levels in the future. Detailed solutions by Embibe help you easily understand the underlying topics while solving questions.
- Ready Reference for Practice: Good students always make it a point to practice Math exercises from time to time. So, whenever you intend to practice after you have already solved exercises once, you might not remember everything, which is why it is important to have a ready reference for practice.
- Laying a Strong Foundation: While being able to solve exercise questions is good, it is also critical to have a good conceptual understanding. There are two reasons for this – 1) In exams, the questions might be tricky, but having conceptual knowledge makes them easy to solve. 2) As you progress to the next class, the same concepts are used to explain more difficult concepts, which makes it important to have a strong foundation in Maths.
- No Delay in Understanding: When students are met with a challenge, they sometimes have to wait to get some time with the faculty to properly understand problems and clear their doubts. On the other hand, NCERT Maths book Class 10 solutions help students quickly grasp these concepts and avoid the delay in understanding Mathematics.
Download – Algebra Formulas for Class 10
Clear Your Math Queries On Embibe Ask
If you want to clear your Math queries for CBSE Class 10 Maths, you have the easiest option at your disposal – Embibe Ask. Experts and fellow students constantly keep up with the Embibe Ask portal to check questions and provide answers in a detailed and swift manner. Furthermore, you can also check the portal to find interesting questions posted by other students to improve your knowledge.
Learn & Practice Class 10 Lessons Online With Embibe
After going through a chapter, it is important to practice questions and attempt mock exams to get better at Maths. Embibe not only offers you books and solutions to practice and study but also other resources like practice questions and mock tests. At Embibe, you can take CBSE Class 10 Mock Test. You can also solve CBSE Class 10 Practice Questions on Embibe and check the 10th Class Maths Book solutions if needed. Both practice questions and mock tests are available for free on Embibe so that you can improve your knowledge and test scores.
FAQs On Class 10 Maths NCERT Solutions
The FAQs on Class 10 Maths NCERT Solutions are provided below:
A: 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 handy to practice.
A: You can download the PDF files through the respective chapter links and keep them on your computer or mobile phone for later reference. You can also print these files if you prefer that.
A: The NCERT Maths textbook for Class 10 features 15 chapters.
A: The benefits of having 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.
A: If you have ample time, you should consider practicing 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.
A: You can easily refer to this article on Maths formulas for Class 10. It covers the entire syllabus and contains all the formulas that are important for the exam.
A: The most important thing is to practice sums and problems every day. Pay 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.
Download NCERT Class 10 Science Solutions From Here
The Maths Class 10 solutions provided here will allow you to easily understand problems for all the chapters. When you study Mathematics, it is important to keep practicing all chapters so that you do not forget the formulas and rules for solving problems.
We hope this article helps you. If you have any questions, feel free to ask in the comment box below. We will get back to you at the earliest. Stay tuned to embibe.com for more on CBSE NCERT Solutions For Class 10.
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