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CBSE Class 10 Mathematics Question Paper 2019 with Solutions
Mathematics is an essential subject that helps in developing human intelligence and logic. It plays an important part in our continual efforts to understand the world around us. Be it scientific studies or financial understandings, a solid foundation in mathematics is pivotal. Mathematics not only prepares young students for their higher studies, but also helps in developing crucial life skills, like problemsolving abilities, analytical thinking, logical reasoning, and more. That’s why Mathematics is treated as one of the core subjects that every student must study in school.
NCERT is the organisation responsible for publishing school books adhering to the latest guidelines and syllabus prescribed by CBSE. The NCERT books are designed by subject experts with special attention to covering each topic in the CBSE syllabus in great detail. That’s why the Central board of secondary education (CBSE) also refers to the content in the NCERT books while setting the question papers.
However, with changing times and children’s growing IQ levels, CBSE is also constantly upgrading its question patterns. In the past three to four years, the CBSE question papers are set with more applicationbased questions, especially in Maths.
Maths Class 10 Question Paper with Solutions
After carefully studying, practising, and reviewing each chapter, students are likely to have a clear idea of the topics and concepts discussed in the chapters. Ideally, the teachers are expected to elaborate on the concepts in class and help students understand the concepts. However, NCERT makes sure to introduce each topic with enough details so that students can learn the subject themselves too without any further help.
They can go through the introduction, definitions, and theorems and then practice the example problems given in the chapter. Once they get a good grasp of the concepts, they can move ahead to solve the end text exercises at the end of the chapter. If the student is able to understand each question and find their solutions by following the correct method, then they have gained a good grasp of the topic and they should be able to solve any question that’s based on the topic.
To increase the level of complexity, students can try solving the CBSE Class 10 Maths Question Paper 2019. The questions from the previous year’s question papers give them an idea of what to expect in their coming exams, to assess if they are able to solve the papers within the given time frame and identify the topics that need more practice.
Students will be able to improve their selfassessment and become more aware of the areas in which they excel and those in which they are weak by using the CBSE Class 10 Maths Question Paper 2019 With Solutions.
The most reliable strategy to practice for the CBSE Exam is to work through these 10th Maths Question Paper 2019. Students may register on Extramarks.com for an online Class 10 Maths online session to improve their performance in the CBSE board exams. Students can access free CBSE Solutions (NCERT) and other educational resources through one of the best educational platforms known as Extramarks. Students looking for better Maths solutions can download the Class 10 Maths NCERT Solutions. These solutions will assist students in reviewing the entire syllabus so they can receive high grades in the exam. The Solutions are framed by our experienced faculty and subject experts who diligently follow the latest CBSE guidelines. Needless to say, they completely understand what is legitimate as per the board’s standards.
Structure of CBSE Class 10 Maths Question Paper 2019
The 2019 CBSE 10th Math Question Paper comprises 100 marks, 80 of which are designated for the exam paper, and the remaining 20 marks are set aside for internal assessment. Students can download the CBSE Sample Papers for Class 10 Mathematics from Extramarks to check the format. The total number of questions in the sample papers is forty, divided into sections labelled A, B, C, and D. This assignment is designed to be completed in three hours. Each of the questions in Section A is an objective question, and it is worth one point. These questions test your fundamental understanding of the chapter and demand you to provide an answer that is specific and spot on.
The questions in Sections B and C are shortanswer and are worth 2 and 3 marks, respectively. These Sections contain the correct sums and derivations for practically all of the chapters, covering almost the whole book. Questions in Section D are longanswer types, each worth four marks. The responses to the questions in this segment will be rather advanced level type, lengthy, and timeconsuming. Before responding, check that you have read the entire question carefully and have not skipped any steps. If students provide stepbystep solutions in their answers and include all relevant answer keys, there is a high chance of receiving a good score in this section.
Content of CBSE Maths Question Paper 2019 and Unitwise weightage
All the chapters in the NCERT Book for Class 10 are compulsory and students do not have the option of selective study if they want to score well. They should study all the chapters with equal attention as there will be no optional questions in the final paper.
The CBSE Class 10 Question Paper 2019, has easy multiplechoice questions (MCQs) for 1 mark. To be more specific, eleven of the thirty questions contain multiplechoice responses. Students must be very quick in their response to solve these MCQs in the minimum time possible.
Let’s review the 2019 question paper for class ten maths and make sure we grasp each part and the different types of questions.
Section A carries a total of six marks and has six different objective questions (numbered one through six), each of which is worth one mark.
The following idea is addressed in this section:
 Locating the point’s coordinates is the next step.
 Finding the value of the quadratic equation’s unknown variable such that the root can be considered real
 Calculations of trigonometric angles and their values
 The ability of numbers to be divided
 The similarity of a triangle
 It is finding rational numbers that are in between two numbers.
Section B carries a total of 12 points and comprises six shorter questions (numbered 7 through 12), each of which is worth 2 points and covers one of the following subject areas:
 Calculating the HCF using Euclid’s theorem
 The nth term in the sequence that was presented.
 A line segment’s ratios as well as its coordinates.
 Probability is associated with the act of flipping a coin and rolling dice.
 Unknown term (or variable) in an equation using linear algebra.
Section C (for a total of 30 marks): This section comprises ten questions (numbered 13 to 22), each of which is worth three marks, and it covers the following subject areas:
 Irrational number proofs and examples
 The process of determining the value of a number that is not known in a polynomial equation.
 Estimating the age based on the information provided.
 When the coordinates of the points along a line segment are known, it is possible to determine the value of an unknown variable in the line equation.
 The equation of trigonometry and its supporting evidence.
 The measurement of the length of a tangent is performed here.
 Pythagorean theorem application in the demonstration of a geometrical figure
 In a circle, the extent of the shaded region.
 Utilisation of the measuring tool.
The mode can be determined by using the frequency distribution table. Section D (32 total points): The questions in this section are of the lengthy answer variety (questions 23 through 30), and each one is worth four marks. The following is a list of the themes that are discussed:
 Utilisation of algebraic concepts
 The total value of the first n terms in the AP series.
 To calculate height and distance accurately, trigonometry is put to use.
 Building a triangle from the ground up.
 The base of a cone’s frustum.
 A demonstration of the Pythagorean theorem
 Determine the value of the frequencies based on the median and class intervals given.
Importance of Solving CBSE 10th Class Math Question Paper 2019 for 2022 Preparation
Teachers and toppers often recommend solving CBSE Class 10 Maths question papers for students to prepare well for their final exams. The practice of solving sample question papers helps students develop their speed and reduce their chances of making silly mistakes. In addition to that, there are many benefits of solving the previous year’s question papers, some of them are –
 Students become familiar with the question paper format
On every test, there is a format that is utilized to evaluate a student’s level of knowledge. The pattern provides a meaningful and dependable mechanism for assessing performance with predetermined goals. One of the most effective strategies for passing the CBSE examination is to study the previous years’ question papers.
Students can comprehensively understand the Examination Pattern by solving the question papers from previous years. Your preparation is enhanced by including essential information on the CBSE Syllabus and the subjects you will be tested for.
It is also helpful to determine the percentage of total marks that will be allocated to each of the different topics. Students can use this information to build a systematic approach based on the most important topics.
 Students analyse the degree of difficulty included within the question
By working through the CBSE Previous Year Question Papers students will become familiar with the kinds of questions expected in the CBSE exams. They can use this as a basis to check the level of difficulty or complexity that was followed for questions from one year to the next. Additionally, it acquaints them with the nature and format of the question, which, in turn, will allow them to solve the question in less time during the CBSE board examination in the year 2020. One of the reasons students are unable to finish the paper on time despite knowing the answers is because they are unaware of the structure and type of questions, and as a result, they take more time to solve the questions. This leads them to miss the deadline for completing the exam on time.
 Students will eventually form the routine of using their knowledge.
Learning the concepts on their own will give them the ability to respond to queries accurately. With regular practice, they may be able to think of a solution to a problem quickly. Students’ ability to find solutions to problems or provide an answer will increase with the amount of practice they put in. Also, they will also be able to remember all the essential formulas linked to the chapters. If students want to be fully prepared for the CBSE examination in 2020, the best way to do so would be to concentrate on answering the questions in the CBSE Class 10 Maths Question Paper from 2019.
 Students can anticipate the topics that will most likely be in the examination.
Students will have the opportunity to take note of the number of questions that are repeated as well as the time gap between each repetition. They may notice how the questions are presented in different formats while maintaining the same core premise. By working through the question papers from the previous ten years, they will become more aware of the topics that haven’t been tested for a significant time. In this method, students can compile all of the information from question papers from past years and formulate a strategy for their study by ranking the chapters in order of importance.
 Having the appropriate amount of practice will provide accuracy to their answer.
The saying “practice makes perfect” stands true regarding precision. By working through a more significant number of CBSE Important Questions, students will become accustomed to the format and content of the questions on the exam; as a result, they will have a better chance of answering more questions correctly in less time. As the student’s practice, they are more likely to acquire not only formulae but also the format, the concept, and the keywords that will ultimately bring correctness to their answers. Because they have answered questions from previous years papers, they are quite similar to one that came in the exam several times, students will also develop a greater sense of confidence over the answers.
 Students can assess their preparation
By working through the question papers from the previous year, students may track their progress and focus their study time on the areas of the subject that need more improvement. This is the last step in the preparation process and is also an essential element. In other words, it brings students’ preparation to a close. In addition, they may also choose to participate in practice examinations and mock test papers published by a reliable source.
Students’ present level of preparation will benefit from working through mock test papers, and their performance on the board exam will improve as a result. We wish students good luck in their studies and hope that the information provided here regarding “CBSE 10th Maths Previous Year Question Paper 2019″ is of great help to them.
Students have a fantastic opportunity to score 100% marks in the examinations. They simply need to strategise their approach for the research carefully. After the effective study, they will then need to put their knowledge to the test. To do this, students should work over the question papers from the year before. These question papers will not only put their preparation to the test but will also provide them with supplementary material that they may have overlooked during their studies.
Why Extramarks?
Students can access the most relevant and uptodate reading material through the Extramarks platform. It offers NCERT Solutions for classes 1 through 12 and solutions for other subjects as well. . In addition, it offers study material for the CBSE, ICSE, State Boards, and other competitive exams. Students have the opportunity to enrol in a variety of online classes through Extramarks. The Mathematics solutions are written in a cohesive and wellstructured way. Students can study from it without having to look elsewhere for any assistance. This is true for all subjects
What will You Get in This PDF?
The CBSE Class 10 Maths Question Paper 2019 with Solutions can be found in PDF format on Extramarks website. The inhouse Mathematics subject experts have prepared all of these answers for you. They have prepared these answers by explaining each stepin detail so that students would understand them easily. This exercise aims to familiarise you with how you are expected to approach questions on the CBSE Math examination.
CBSE Syllabus for Class 10 Math (20222023)
Term 1 consists of 50 marks; 40 for seven chapters and 10 for Internal Assessment.
Chapters in Term 1:
 Number System (6 marks)
 Algebra (10 marks)
 Coordinate Geometry (6 marks)
 Geometry (6 marks)
 Trigonometry (5 marks)
 Mensuration (4 marks)
 Statistics & Probability (3 marks)
Internal Assessment:
 Periodic Tests (3 marks)
 Multiple Assessments (2 marks)
 Portfolio (2 marks)
 Student Enrichment Activities – Practical Work (3 marks)
Term 2 consists of 50 marks; 40 for five chapters and 10 for Internal Assessment.
Chapters in Term 2:
 Algebra (cont.) (10 marks)
 Geometry (cont.) (9 marks)
 Trigonometry (cont.) (7 marks)
 Mensuration (cont.) (6 marks)
 Statistics & Probability (cont.) (8 marks)
Internal Assessment:
 Periodic Tests (3 marks)
 Multiple Assessments (2 marks)
 Portfolio (2 marks)
 Student Enrichment Activities – Practical Work (3 marks)
Inside CBSE Class 10 Math Question Paper 2019
Duration: three hours
Maximum Marks: 80
Pages: 26
You need to find the correct answers to all of the questions.
There are a total of 30 questions, and they are arranged in the following sections: A, B, C, and D.
In part A, there are six questions, each worth one mark.
In part B, there are 6 questions, each with 2 marks.
In part C, there are ten questions, and each one is worth three marks.
Section D has a total of 8 questions, each worth 4 marks.
You will not be given a choice that encompasses everything. On the other hand, you will be given an internal choice option for two questions worth one point each, two questions worth two points each, four questions worth three points each, and three questions worth four points each. In this type of question, you simply need to choose one of the possible answers.
Students are not allowed to use the Calculator.
Q.Why should You Solve the 2019 CBSE Class 10 Math Paper?
Ans. The 2019 CBSE Class 10 Math Paper is a resource that you should work through because doing so will provide you with a thorough understanding of how the Maths paper is organised. It will assist you in becoming more familiar with the examination layout. By working through this assignment, you will be able to determine the percentage of total marks from each chapter.
In most of the Maths previous year’s question papers, students find themselves running out of time. Practising the sample papers can help them develop their time management skills. It also helps students improve their accuracy via the appropriate use of the practice. When you tackle various questions, you will commit fewer errors and help you to get high scores in the exams..
FAQs (Frequently Asked Questions)
1. How can the 2019 Maths test questions and answers from the previous year's Extramarks help me prepare for my exams?
Understanding the importance of practice, Extramarks has supplied you with the CBSE Class 10 Math Previous Year Question Papers with Answers. We also provide a free PDF download of the previous year’s CBSE Math Paper for Class 10 so that you can take a printout and practice a mock exam on your own.
Extramarks believes that outdated educational methods have become ineffective and need to be replaced by online ebooks and classes which became quite trendy during the covid19 pandemic. Extramarks recommends the students gain good practice by completing Class 10 Math CBSE Previous Years Question Papers. By regularly practising the CBSE Class
Math Question Paper, students can overcome their exam anxiety to a great extent. In addition to preparing students for the pressures of taking an exam, these sample questions from previous years can also help alleviate the stress associated with completing a test.
2. What is the CBSE Syllabus of Class 10 for maths?
 Altogether there are 7 units in the Class 10 Math syllabus. The list of chapters is given below:
Unit 1: Number System
Chapter 1: Real numbers
Unit 2: Algebra
Chapter 2: Polynomials
Chapter 3: Pair of linear equations in two variables
Chapter 4: Quadratic Equations
Chapter 5: Arithmetic Progression
Unit 3: Coordinate Geometry
Chapter 6: Lines (in two dimensions)
Unit 4: Geometry
Chapter 7: Triangles
Chapter 8: Circles
Chapter 9: Constructions
Unit 5: Trigonometry
Chapter 10: Introduction to trigonometry
Chapter 11: Trigonometric Identities
Chapter 12: Heights and distances
Unit 6: Mensuration
Chapter 13: Areas related to circles
Chapter 14: Surface Areas and Volumes
Unit 7: Statistics and Probability
Chapter 15: Statistics
Chapter 16: Probability
3. When was the 2019 CBSE Class 10 Mathematics exam conducted?
 The Central Board of Secondary Education (CBSE) administered the Class 10 Math examination on March 7, 2019. This was the first main exam for Class 10 students in the 2019 CBSE Board Exams. This paper had a total of thirty questions. Students were required to finish this 80 marks paper in three hours.
4. Are NCERT Books enough for competitive exams?
The NCERT Books provide the concepts and foundations of specific topics. The explanations in these textbooks for Class 10 are detailed. Students preparing for any form of examination can therefore utilise these materials. NCERT Books PDF format and Solutions provided by Extramarks, when used together, provide an important resource for enhancing your learning abilities by offering a deeper conceptual understanding of each subject matter covered in the NCERT Books.
5. Explain the cartesian coordinates system and the equation of a straight line.
 According to the cartesian coordinate system, a coordinate axis is a plan composed of two number lines perpendicular to each other and shown in a graph with X and Y coordinates. This plan is represented in the graph by the X and Y coordinates.
The equation for a straight line is as follows:
The most common method when drawing lines on cartesian planes is using straight lines.
The equation of a line is written in slopeintercept form.
y = MX +b
Where m represents the slope of the line and b, the yintercept is used in the equation.
M is the change in y divided by the change in x.
6. Why is it important to do CBSE Class 10th Maths Previous Years' Question Papers?
 There are many reasons to do the CBSE Class 10th question papers from previous years. A few of the advantages are given below:
 By doing CBSE Class 10th Maths question papers from previous years, students will find it easy to cover the whole curriculum. Learning ideas won’t help unless they put them to good use.
 Students can figure out what their strengths and weaknesses are by looking at the question papers from previous years. Students can figure out how well they are prepared for the exams.
 When exam papers from the past few years are solved, students will have a better idea of what kind of questions are expected and how to complete the paper on time and they will be able to handle advancedlevel questions easily.