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CBSE Class 10 Maths Question Paper 2019 with Solutions - Free PDF

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Last updated date: 29th Mar 2024
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Math Class 10 Question Paper with Solutions

After a thorough study, practice and revision of all the chapters, you are more likely to be jammed with knowledge and so it is very important for you to carry out trials by putting your knowledge to test. Solving CBSE Class 10 Maths Question Paper 2019 is very pertinent as it helps you to determine a sound strategy to solve questions during CBSE Exam 2020. Maths Question Paper 2019 Class 10 along with Solutions will aid your self-assessment and will help you to recognize your areas of strength and weakness. Solving these 10th Maths Question Paper 2019 given by CBSE is the most authentic way to rehearse for the CBSE Exam. Register Online for Class 10 Science tuition on Vedantu.com to score more marks in CBSE board examination. Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students. Math Students who are looking for the better solutions ,can download Class 10 Math NCERT Solutions to help you to revise the complete syllabus and score more marks in your examinations.

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Structure of CBSE Class 10 Maths Question Paper 2019

Cbse 10th Math Question Paper 2019 is of total 100 marks, out of which 80 marks are customized as theory paper and the rest 20 marks are allocated for internal assessment. The pdf given below is of CBSE Board Exam 2019 Maths Question Paper Class 10. The duration of this paper is three hours and it contains a total of 40 questions divided into Section A, Section B, Section C and Section D. All the questions in Section A are objective type questions of 1 mark each, these questions are based on basic knowledge of the chapter and require a precise on-point answer. Section B and C contain short answer type questions of 2 and 3 marks respectively. These Sections contain proper sums and derivations covering up almost all the chapters. Section D consists of long answer type questions of 4 marks each. The answer to the questions in this section is a little complicated, lengthy and is time-consuming. Make sure you read the complete question before answering and don’t miss out steps. There is very less chance of losing marks in this chapter if you elaborate on your answer and include all the important answer keys.


Content of CBSE Math Question Paper 2019 and Unit-wise weightage

CBSE Class 10 Question Paper 2019 contains no overall choice except a few internal choices in the questions. To be precise, eleven out of thirty questions have internal choices.

Let’s understand each section and the types of questions given in class 10 Math question paper 2019.

Section A (6 marks): It contains 6 objective types of questions (from question 1 to 6) each of 1 mark.

The question in this section covers the following concept :

  • Finding the coordinate of the point.

  • Finding the unknown value of the quadratic equation for its root to be real.

  • Values of trigonometric angles

  • Divisibility of numbers

  • Angle angle similarity of a triangle

  • Finding rational numbers between two given numbers.

Section B (12 marks): This section contains 6 short questions (from question 7 to 12) each of 2 marks covering the following topics:

  • HCF using Euclid’s theorem.

  • The nth term of the given series.

  • Ratios and coordinate of a line segment.

  • Probability related to the tossing of a coin and dice.

  • Unknown term (or variable) of a linear equation.

Section C (30 marks): This section consists of 10 questions (from question 13 to 22) each of three marks, covering the following topics:

  • Proofs of irrational numbers

  • Finding the value of an unknown number in a polynomial equation.

  • Finding the age from the given details. 

  • Finding the unknown value of the equation of a line when the coordinates of the points of the line segment are given.

  • Proofs of the trigonometric equation.

  • Determination of the length of a tangent.

  • Proving of geometrical figure using Pythagoras theorem

  • Area of shaded region in a circle.

  • Application of mensuration.

Calculation of mode from frequency distribution table. Section D (32marks): This section deals with long answer type questions (from question 23 to 30) each of 4 marks. Given below are the topics covered:

  • Application of algebra

  • Sum of the first nth terms of AP series.

  • Application of trigonometry in calculating height and distance.

  • Construction of a triangle.

  • Frustum of a cone.

  • Proof of Pythagoras theorem

  • Finding the value of frequencies from the given median and class-interval.


Importance of Solving CBSE 10th Grade Math Question Paper 2019 for 2020 Preparation

The reason why most people select CBSE as a board is because of its educational policy which is very influential as it promises to accomplish student’s overall development. The main objective of the CBSE board is to ensure that the pattern of education provided is effective enough to help students focus on improving the important sections of the subject. Cracking CBSE is difficult without a proper understanding of the concept. Undoubtedly, the Exam requires rigorous preparation and commitment but the right amount of hard work and consistent practice can help you go as planned in order to achieve your goals. It is very important to evaluate your current preparation to improve your performance. Given below are the benefits of solving the previous year question paper. 

1. You become cognizant of exam pattern

Every exam has a pattern on the basis of which students' knowledge is scrutinized. The pattern is meaningful and a reliable method to check the performance based on fixed objectives. Previous Year’s Question paper is one of the key ways of cracking CBSE examination. 

By referring to previous year question papers you develop a thorough understanding of the Examination Pattern. 

It furnishes your preparation with necessary information about syllabus and topics covered in the exam. 

It also helps to figure out the weightage of marks portioned out to different topics. This can help you to draft your preparation strategy based on important topics.

2. You interpret the complexity level of the question

Solving Previous Year’s Question Paper from CBSE Class 10 Maths Question Paper 2019 pdf exposes you to the type of questions that usually come in CBSE exam. On the basis of this you can gauge the level of difficulty or complexity being followed for questions from one year to the other year. It also makes you familiar with the nature and format of the question which in turn will help you solve the question in less time during CBSE board examination 2020. One of the reasons why students fail to complete the paper on time in spite of knowing the answers is because of their unawareness about the format and style of the question and thus they end up taking more time to solve the question. 

3. You develop the habit of exercising your knowledge

It is an undeniable fact that the learning of the theories alone never brings in you the talent to answer the questions precisely. Practice plays an important role in drilling into you the tendency to think of a solution to the given problem at breakneck speed. The more you practice the faster you will be able to solve problems or answer the question. Proper practice and revision will assist you to keep all the important points and formulas related to the chapters on your fingertips. Thus, it makes sense to focus on solving CBSE Class 10 2019 Math Question Paper if you are aiming to prepare for CBSE exam 2020.

4. You can predict the topics that are likely to come in the exam

The more previous year papers (i.e, cbse question paper 2019 class 10th ) you solve the more you get hold of the technique used in preparing the question paper. You get to notice the number of questions that are repeated and the interval of repetition. You observe how the format of the questions changes keeping the concept the same. Solving the last ten years question paper will make you aware of the topics that haven’t come in the exam for a long time and therefore have a high chance of coming in the next exam. This way you collect all the information from previous years question papers and strategize your preparation by prioritizing the chapters. 

5. Proper practice brings accuracy to your answer.

The cliché ‘Practice Makes Man Perfect’ holds true when it comes to accuracy. Solve more questions to become familiar with the type and nature of the questions that come in the exam and therefore there is a better chance of you attempting more questions in less time with more accuracy. This is so because while practicing you tend to learn not only formulas but also the format, concept and keywords which ultimately brings in the accuracy to your answer. You also become more confident about the answer as you would have answered similar questions many times. It is still advisable to improvise your answer in order to get better marks. So download CBSE Class 10 Math Question paper 2019 with solutions

6. You can assess your preparation

Solving the previous year’s question papers also helps you to track your progress and work on your weak areas that require special attention. This is a very important part of your preparation or in other words, it concludes your preparatory process. In addition to this, you can also take up practice tests and mock tests papers published from a trusted source.

Solving these question papers will help you in your current preparation level and will enhance your performance in the board exam. Hope you find the information about  “CBSE 10th Maths Previous Year Question Paper 2019” helpful for your preparation. In order to get the answers to the CBSE Questions Paper 2019 class 10, click on Cbse Class 10 Math Question Paper 2019 PDF download.

There's a great chance for you to score high in exams. You will just need to properly strategize your study. Once you study effectively, you will then need to test yourself. To do that, it is recommended that you solve the previous year question papers. These question papers not only test your preparation but also give you some extra information that you might have missed during your study. 


Why Vedantu? 

Vedantu is a platform where students get acquainted with the best study material. It provides NCERT Solutions from Class 1 to Class 12, popular book solutions. It also provides study material for CBSE, ICSE, State Boards, competitive exams, etc. On Vedantu, Students can join different online courses as well. 


What will You Get in This PDF?

This PDF contains CBSE Class 10 Math Question Paper 2019 with Solutions. All these solutions are prepared by an elite team of mathematicians. They have prepared these solutions by writing every step so that students can understand easily. The motive of providing these questions is that you know how you must approach questions in a CBSE Math paper. 

 

Syllabus for CBSE Class 10 Math (2021-2022)

Term 1 consists of 50 marks; 40 marks for seven chapters and 10 for Internal Assessment.

Chapters in Term 1:

 1. Number System (6 marks) 

 2. Algebra (10 marks) 

 3. Coordinate Geometry (6 marks)

 4. Geometry (6 marks)

 5. Trigonometry (5 marks)

 6. Mensuration (4 marks) 

 7. Statistics & Probability (3 marks) 

Internal Assessment:

 1. Periodic Tests (3 marks) 

 2. Multiple Assessments (2 marks) 

 3. Portfolio (2 marks) 

 4. Student Enrichment Activities - Practical Work (3 marks) 

Term 2 consists of 50 marks; 40 marks for five chapters and 10 marks for Internal Assessment.

Chapters in Term 2:

 1. Algebra (cont.) (10 marks) 

 2. Geometry (cont.) (9 marks) 

 3. Trigonometry (cont.) (7 marks) 

 4. Mensuration (cont.) (6 marks) 

 5. Statistics & Probability (cont.) (8 marks) 

Internal Assessment:

 1. Periodic Tests (3 marks) 

 2. Multiple Assessments (2 marks) 

 3. Portfolio (2 marks) 

 4. Student Enrichment Activities - Practical Work (3 marks) 


Inside CBSE Class 10 Math Question Paper 2019

Time: 3 hours

Maximum Marks: 80 

Pages: 26

Instructions: You will need to solve all the questions. 

There are 30 questions which are divided into 4 sections - A, B, C and D. 

There are 6 questions each of 1 mark in section A. 

There are 6 questions each of 2 marks in section B. 

There are 10 questions each of 3 marks in section C. 

There are 8 questions each of 4 marks in section D. 

You will not get an overall choice. However, you will get an internal choice in two questions of 1 mark each, two questions of 2 marks each, four questions of 3 marks each and three questions of 4 marks each. In such questions, you need to attempt only one of the alternatives. 

The use of a calculator is not allowed. 


Why should You Solve the 2019 CBSE Class 10 Math Paper? 

The reason you should solve the 2019 CBSE Class 10 Math Paper is that it would give you a thorough understanding of how the Math paper is set. It will help you become more comfortable with the exam format. It will add more to your knowledge so that you don't miss anything out. Solving this paper will help you in identifying the marks weightage from each chapter so that you can prioritize the important chapters. If you read this paper, you can see whether it is complex for you or not. If it is, you can up the ante of your exam preparation accordingly. 

Usually, in a Maths paper, students run out of time. That is because they don't practice sample papers properly. So, if you don't want that to happen to you, you need to start practicing these papers as soon as possible. Studies have revealed that the more you practise, the more you tend to develop a habit of playing your skills. Plus, Maths is that sort of subject in which you can't just read. At some point, you have to practice what you have studied and that's where these papers come in handy. After practicing a lot of sample papers and previous year question papers, you can predict the upcoming paper and prepare yourself accordingly. Proper practice will also enable you to become more accurate. You will make fewer mistakes while attempting different questions.

FAQs on CBSE Class 10 Maths Question Paper 2019 with Solutions - Free PDF

1. How does last years’ 2019 maths question paper with solutions of Vedantu will help me with the exams?

At Vedantu, we understand the necessity of practice and, hence, we provided you with the CBSE Class 10 Math Previous Year Question Papers with Solutions. We also help you with the free PDF download as well for CBSE last year Math Paper Class 10 board question paper, so that you can print it out, and appear for a mock examination by yourself.


At Vedantu, we desire to change the age-old ways of education as it has become inefficient. Getting enough practice by solving CBSE previous year question papers in Class 10 Math is something we, at Vedantu, believe in strongly. By practising CBSE Class 10 Math Question Paper on a regular basis, students can overcome the fear of exams. These last year papers also aid in the pressure of taking a real exam.



2. What is the syllabus of class 10 maths syllabus?

Altogether there are 7 units in Class 10 Math syllabus. Below is the list of chapters: 

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. Explain about the cartesian coordinates system and equation of a straight line.

    As per the cartesian coordinate system, a plan which is made up of two number lines, which are perpendicular to each other which are represented in a graph with X and Y coordinates will be called a coordinate axis. 


    Equation of a straight line: 

    Basically, straight lines are used to draw lines on the cartesian planes. 

    Slope intercept form is used by the equation of a line 

    y = MX +b

    where m is the slope of the line and b is the y-intercept.

    M = change in y / change in x

    4. What does the 3rd chapter Pair of Linear Equations in Two Variables consist of?

    Pair of Linear Equations in Two Variables is the third chapter of CBSE Class 10 Math Book Solutions. The chapter discusses the pair of linear equations in two variables, algebraic methods of solving a pair of linear equations; this concept includes various methods like substitution, elimination and cross-multiplication method. You shall also come across a graphical method of solution of a pair of linear equations and equations reducible to a pair of linear equations in two variables. This chapter mainly focuses on how to solve pairs of linear equations by the graphical method, for this you need a graphical sheet to solve the questions and an algebraic method.

    5. When was the 2019 CBSE Class 10 Math Exam held? 

    On March 7, 2019, the Central Board of Secondary Education (CBSE) held the Class 10th Math paper. This was the first main paper in the CBSE Board Exams 2019 for students in class ten. This paper had a moderate degree of difficulty. This paper had a total of 30 questions in it. This paper required students to complete it in three hours and the maximum marks in this paper were 80.