Class 9 is when the rigour of academics begins, as it is the class right before the 10th board year and it is the time to get serious about our studies. What we learn in class 9 maths is fairly simple, but it is important to attain a good understanding of the same, because it acts as a base for mathematics, and even other subjects, in higher classes. For example, the basics of statistics that you will learn in chapter 14 will be helpful if you choose to take economics in class 11. Another example is number systems, which you will learn in NCERT class 9 maths chapter 1, and it is important to know this because you will use number systems in concepts of electronics if you choose physics, and further on in maths classes. Thus, it is incredibly important to find a good base in mathematics starting with the NCERT solution maths class 9 chapter 1, Number Systems. You can also download NCERT Solution for Class 9 Science, Maths solutions, and solutions of other subjects that are available on Vedantu only.
You can opt for Chapter 1 - Number System NCERT Solutions for Class 9 Maths PDF for Upcoming Exams and also You can Find the Solutions of All the Maths Chapters below.
NCERT Solutions for Class 9 Maths
Now that we have given you an idea about how important it is to get a base in maths early on, we shall also acknowledge that math is not the easiest subject in the world for everyone. Sometimes, it can be a thing of nightmares, quite literally when you need to stay up all night trying to understand some or another concept for a maths exam the next day. Hereâ€™s where the NCERT solutions for class 9 maths ch 1 come in - they can help you out in such situations where you arenâ€™t being able to understand. These NCERT solutions for class 9 maths (chapter 1 especially) are magical for students who dislike or are weak in maths. They provide all the answers to the questions in the back of every chapter in the book so that a student need not incessantly struggle with the same.
Maths comes for a total of 100 marks, out of which 20 marks go from the internal assessment and the rest of the 80 marks come from the written final exam. The following is the breakdown of the syllabus and marks weightage of NCERT class 9 maths.
Written Final Exam | 80 marks |
Internal Assessment | 20 marks |
Total | 100 marks |
The following is a breakdown of the weightage marks for the internal assessment:
Pen & Paper Tests | 5 marks |
Multiple Assessment | 5 marks |
Portfolio/Project Work | 5 marks |
Lab Practical | 5 marks |
Total | 20 marks |
The following is the weightage breakdown for the final written exam:
Chapter No | Chapter Name | Weightage Marks |
1 | Number Systems | 8 |
2 | Algebra | 17 |
3 | Coordinate Geometry | 4 |
4 | Geometry | 28 |
5 | Mensuration | 13 |
6 | Statistics & Probability | 10 |
Total | 80 |
As mentioned in the table, maths class 9 chapter 1, Number Systems, counts for 8 marks out of the total 80 marks for the written exam.
The NCERT solutions for class 9 maths chapter 1 are incredibly helpful to students due to a number of reasons. At Vedantu, we try to make the solutions we create for all students to be utterly accurate and precise so that theyâ€™re usable and helpful for students. The following are some of the reasons why the class 9 maths NCERT solutions of chapter 1 are very beneficial for students.
The NCERT solutions by Vedantu are completely free to access - thereâ€™s no need to pay for the materials that you need for your studies, and we understand this.
These maths NCERT solutions of class 9 chapter 1 not only help with studying for exams, but theyâ€™re also helpful for when students are trying to finish difficult homework questions.
Vedantuâ€™s class 9 maths chapter 1 NCERT solutions are in a PDF format which can be downloaded. This prevents students from unnecessarily wasting time on the internet when the solutions are right there in your files on your PC or even mobile phone or tablet.
The solutions can be printed, and this ensures that screen time for students is reduced.
The solutions have been written by maths teachers who are experienced in the field and, thus, the accuracy of the solutions is ensured.
Q1. What all Comes Under the Purview of NCERT Maths Class 9 Chapter 1 Number Systems?
Ans. Under NCERT maths class 9 chapter 1 Number Systems, the topics covered include a short introduction about what number systems are using number lines, defining rational and irrational numbers using fractions, defining real numbers and also stating their decimal expansions. The chapter then comes back to the number line, so as to teach students how to represent real numbers on the number line. The chapter also shows students how to add, subtract, multiply and divide real numbers, or, in short, conduct operations on real numbers. The last topic in class 9 maths chapter 1 is a part of operations, it is called the laws of exponents for real numbers.
Q2. What are the Weightage Marks for Mathematics in Class 9?
Ans. The total mathematics paper in class 9 is 100 marks, like any other subject. Out of these 100 marks, 20 marks goes from internal assessments (pen and paper tests, multiple assessments, portfolios/project work and lab practicals for 5 marks each), and the remaining 80 marks are from the written test at the end of the school year. Out of these 80 marks, the chapter Number Systems comes for 8 marks, Algebra for 17 marks,Â Coordinate Geometry for 4 marks, Geometry for 28 marks, Mensuration for 13 marks, and Statistics and Probability for 10 marks. All of these chaptersâ€™ respective marks total up to a cumulative 80 marks for the written paper.
3. How many sums are there in the NCERT Class 9 Chapter 1 Number System?
Answer: There are six exercises in the NCERT Class 9 Chapter 1 Number System. In the first exercise, Ex-1.1, there are 4 sums and in the second exercise, Ex-1.2, there are 3 sums. These first two exercises deal with the basic concepts of the number system, such as identifying the features of a rational number or an irrational number and locating them on the number line. In the third exercise, Ex-1.3, there are 9 sums, and most of them have sub-questions. The fourth exercise, Ex-1.4, comprises 2 sums, that deal with successive magnification for locating a decimal number on the number line. The fifth exercise, Ex-1.5, consists of 5 sums, on the concept of rationalization. The sixth exercise, Ex-1.6, consists of 3 sums, that have sub-questions. The sums in this exercise will require you to find the various roots of numbers.
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