NCERT Solutions for Class 10 Maths Chapter 1- Real Numbers |
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CBSE Class 10 Mathematics NCERT Solutions: Chapter 1, Real Numbers
In this Chapter you will get the NCERT Solutions for CBSE Class 10 Mathematics chapter, Real Numbers. You will get detailed and accurate solutions to all the NCERT questions.CBSE Class 10 NCERT Solutions
NCERT books offer a number of problems which students can practice to assess their learning and prepare for the examinations. Practicing a variety of questions helps to strengthen the fundamentals of a topic which makes students efficient in solving different questions asked in exams based on that particular topic. Therefore, students are suggested to solve all the NCERT questions and learn to write perfect solutions which will help them score good marks in exams.
For all the questions given in CBSE Class 10 Mathematics NCERT book we have collated detailed and accurate answers that will help students find the right approach to solve different questions.
Here, we are providing the NCERT solutions for Class 10 Mathematics chapter 15, Real Numbers. Our subject experts have reviewed these NCERT solutions to provide you the error free content which will make it easy for you to make an effective preparation for the annual exams.
Main topics discussed in Class 10 Mathematics chapter- Real Numbers are:
- Basics concepts related to real numbers
- Euclid’s Division Lemma,
- Fundamental Theorem of Arithmetic
- Revisiting irrational numbers
- Revisiting rational numbers and their decimal expansions and
CBSE Class 10 Maths Exam : Check Chapter-wise Weightage Paper with Latest Marking Scheme
Check here the chapter-wise weightage distribution for the CBSE Class 10 Maths Exam . Mark the chapters with high weightage to prepare them carefully.CBSE Class 10 Maths Chapter wise Weightage for Board Exam
CBSE Class 10 Maths Paper under the ongoing board exams will be conducted tomorrow – 12th March, . This year board will conduct two papers – Mathematics Standard and Mathematics Basic. On one side, where the students with basic Maths will solve the easy paper, the paper will be a bit tough for the students with standard Maths. In fact, the level of the standard Maths paper will be the same as of previous years’ board examinations. So, here the students with standard Maths will be more anxious about their preparations as they have to score good marks in the paper so that they may continue with Mathematics in the higher classes as well.
In this article, we are providing the in-depth analysis of the latest CBSE sample paper of Class 10 Standard Maths. With this analysis we are providing here the chapter-wise weightage distribution for the upcoming Maths Exam. This will help students to know the chapters which are important for the exam and need to be prepared carefully.
In CBSE Class 10 Maths Paper , there will be 40 questions divided into four sections – A, B, C and D.
- Section A (1-20) – Objective type questions carrying 1 mark each
- Section B (21-26) – Short answer type questions (Type I) carrying 2 marks each
- Section A (27-34) – Short answer type questions (Type II) carrying 3 marks each
- Section A (35-40) – Long answer type questions carrying 4 marks each
You can check below the number of questions from each chapter asked in all the four sections of Standard Maths Sample Paper:
Chapter Number | Section A | Section B | Section C | Section D | Total Marks |
Chapter 1 | 2 | 1 | 1 | – | 07 |
Chapter 2 | 1 | – | 1 | – | 04 |
Chapter 3 | 1 | – | 1 | 1 | 08 |
Chapter 4 | 1 | – | – | – | 01 |
Chapter 5 | 2 | – | 1 | – | 05 |
Chapter 6 | 3 | 1 | – | 1 | 09 |
Chapter 7 | 3 | – | 1 | – | 06 |
Chapter 8 | 3 | – | 1 | – | 06 |
Chapter 9 | – | 1 | – | 1 | 06 |
Chapter 10 | 1 | 1 | – | – | 03 |
Chapter 11 | – | – | – | 1 | 04 |
Chapter 12 | – | – | 1 | – | 03 |
Chapter 13 | 1 | 1 | – | 1 | 07 |
Chapter 14 | 1 | – | 1 | 1 | 08 |
Chapter 15 | 1 | 1 | – | – | 03 |
Total no. of questions | 20 | 6 | 8 | 6 | 80 |
According to the weightage mentioned above, we can now pick out the chapters which carry high weightage for the annual board examination.
Important Chapters with High Weightage for CBSE Class 10 Maths Board Exam
- Chapter 3 – Pair of Linear Equations in Two Variables = 8 Marks
- Chapter 5 – Arithmetic Progression = 5 Marks
- Chapter 6 – Triangles = 9 Marks
- Chapter 7 – Coordinate Geometry = 6 Marks
- Chapter 8 – Introduction to Trigonometry = 6 Marks
- Chapter 9 – Some Applications of Trigonometry = 6 Marks
- Chapter 13 – Surface Areas and Volumes = 7 Marks
- Chapter 14 – Statistics = 8 Marks
Thus students must focus on these important chapters to prepare them thoroughly so that they may secure high marks in their Maths paper.
Important thing to note here is that this analysis is completely based on the CBSE Class 10 Maths Sample Paper. Board, generally follows the same pattern as of sample papers, in the questions papers of board examinations. So, we can expect the questions in the Maths Paper arranged according to the distribution discussed here.
NCERT Solutions for Class 10 Maths Chapter 1- Real Numbers
Real Number is one of the important topics in Maths as it has a weightage of 6 marks in class 10 (Number system – Real Numbers) Maths board exams. The average number of questions asked from this chapter is usually 3.
Three questions were asked from this chapter in the previous year board examination (2018).
- One out of three questions in part A (1 marks).
- One out of three questions in part B (2 marks).
- One out of three questions in part C (3 marks).
This chapter talks about
- Euclid’s Division Algorithm
- The Fundamental Theorem of Arithmetic
- Revisiting Rational & Irrational Numbers
- Decimal Expansions
List of Exercises in class 10 Maths Chapter 1:
Exercise 1.1 Solutions 5 Question ( 4 long, 1 short)
Exercise 1.2 Solutions 7 Question ( 4 long, 3 short)
Exercise 1.3 Solutions 3 Question ( 3 short)
Exercise 1.4 Solutions 3 Question ( 3 short)
Real Numbers is introduced in class 9 and this is discussed more in details in class 10. NCERT Solutions for class 10 Maths chapter 1 Real Numbers provides the answers for the questions present in this chapter. The chapter discusses the real numbers and their applications. The divisibility of integers using Euclid’s division algorithm says that any positive integer a can be divided by another positive integer b such that the remainder will be smaller than b. On the other hand, The Fundamental Theorem of Arithmetic works on multiplication of positive integers.
The chapter starts with the introduction of real numbers in section 1.1 followed by two very important topics in section 1.2 and 1.3
- Euclid’s Division Algorithm – It includes 5 questions based on Theorem 1.1 – Euclid’s Division Lemma.
- The Fundamental Theorem of Arithmetic – Explore the applications of this topic which talks about the multiplication of positive integers, through solutions of the 7 problems in Exercise 1.2.
Next, it discusses the following topics which were introduced in class 9.
- Revisiting Rational & Irrational Numbers – In this the solutions for 3 problems in Exercise 1.3 is given which also use the topic in last Exercise 1.2.
- Decimal Expansions – It explores when the decimal expansion of a rational number is terminating and when it is recurring. It includes a total of 3 problems with sub-parts in Exercise 1.4