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CBSE Previous Year Question Papers Class 10 Maths PDF Free Solutions (2007-2020)

VSAT 2023

CBSE Last Year Question Papers for Class 10 Maths - Free PDF Download

Last updated date: 30th Jan 2023
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Studying in a CBSE or ICSE board is comparatively a difficult task for the students compared to the state board education. The only study material is not enough to get good marks in exams. For the same reason, various students prefer the CBSE previous year's question papers in Class 10 Mathematics for understanding the concepts in a much accurate manner and to know all the things in specific details. 

As a result, the 10th Class Mathematics question paper from past years has become quite important and necessary for students. These question papers solve many problems for the students and make them aware of the types of questions that come in the paper.  

Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students. Mathematics Students who are looking for better solutions can download Class 10 Mathematics NCERT Solutions to help you to revise the complete syllabus and score more marks in your examinations. Register Online for Class 10 Science tuition on Vedantu.com to score more marks in the CBSE board examination.


CBSE Class 10 Maths previous year question papers with solutions are available here for free download. The highly experienced teachers at Vedantu have solved the CBSE Maths question papers for Class 10 (2007 to 2020) in the solutions PDFs. Students can refer to these solved question paper PDFs online and can download the Solution PDFs for practising offline. They can download the last 14 years' Class 10 Maths question papers with Solutions PDFs for free from the Vedantu mobile app.


CBSE Previous Year Question Papers for Class 10 Maths (2007 - 2020)

Also, check CBSE Class 10 Previous Year Question Papers:

Competitive Exams after 12th Science

How CBSE Previous Year Question Papers Class 10 Maths with Solutions are Helpful to Score More Marks?

Before you start with your preparations for the CBSE exam 2022-23, you need to understand the exam pattern and the importance of each Chapter.

 

Exam Pattern

According to CBSE revised Exam Pattern, the Class 10 Theory Question Paper will be divided into four sections. The sum of the marks of all the four sections will be 80. The remaining 20 marks will be allotted for internal assessment. Below is the division of marks among all four sections. 

 

Chapter - Wise Weightage  

The CBSE has issued the marking pattern for the Exam CBSE Class 10 on its official website. The CBSE Class 10 Marking Scheme is a type of answer sheet that shows you how to mark each question in the example paper step by step. The CBSE Marking Scheme for Class 10 might help you understand how marks are assigned to each response step by step. We've put up a complete guide on CBSE Class 10 Marking Scheme and Weightage of Marks for Mathematics to help you get a head start on your test preparation.

CBSE has recently released the sample paper for Board Exam 2022-23. According to which the weightage of each unit along with Chapters are given below:

 

CBSE Class 10 Maths Weightage 2022-23

Units

Unit Name

Marks

I

Number Systems

06

II

Algebra

20

III

Coordinate Geometry

06

IV

Geometry

15

V

Trigonometry

12

VI

Mensuration

10

VII

Statistics & Probability

11


Total

80


Major Focus of the CBSE Class 10th Mathematics Previous Year Question Papers

The previous year's Mathematics Class 10 question paper primarily focuses on specific Chapters and target points. For the same reason, these target points are crucial in this Class, and for the same reason, they are included in most of the previous year's question papers in Mathematics. 

 

Below is a list of some Chapters that are preferably included in the previous year’s question paper for Class 10 Mathematics on CBSE- 

Trigonometry: Trigonometry is the most crucial and essential Chapter that is actively included in the question paper for Mathematics Class 10  because of it’s amazingness and importance. Trigonometry has many aspects, and all of them are adequately considered in the previous year's papers. The introduction and detailed concepts of trigonometry are explained nicely in these CBSE 10th Mathematics question papers.  

Triangles: A triangle is a type of shape, and this is the only thing that we learn in all our academic years. But, there are a lot of other things apart from just the shape. That is why the triangle is an important topic or Chapter in the Mathematics Class 10 question paper for sure. Triangles have many educational and career links, which is why the students in their 10th Class should appropriately study this Chapter.  

Statistics: Statistics covers a wide range of topics and concepts, all of which are included in the CBSE Class 10 Mathematics question paper. This Chapter is explained in precise detail in these question papers, and that is why it ends up being very important for the students, for sure. 

The above list of Chapters from the CBSE Class 10 Mathematics question paper is significant for the students. That is why students must take them into account in their educational careers if they are to succeed. With the help of these CBSE previous year question papers, Class 10 Mathematics with solutions will be very beneficial for the students in the first place, without any doubt or trouble.  

 

Previous Year Question Paper of Mathematics Class 10

The CBSE 10th standard Mathematics question papers solve many problems for students related to the examination papers' concepts and essential requirements. The students' syllabus and valid questions accordingly become very beneficial for the students in the first place, for sure.

Therefore, students are getting excellent benefits from the same for sure, and they can also achieve good marks in their examinations through the same. The availability of the CBSE Class 10 Mathematics previous year question papers will be perfect and up to the mark for the student's educational career, and they will not regret using these in the first place. 

  

How to Study Mathematics for CBSE Exam? Chapter-wise Instructions to Score Better Marks.

Real Numbers: Euclid's Division Algorithm and Fundamental Theorem of Arithmetic are the two properties of positive integers (non-fractional numbers). Understand and practise the steps to find HCF using Euclid’s division method. 

Practise the following types of numerical- representation of a composite number as multiplications of prime numbers, proving irrational numbers, terminating and non- terminating expansion of rational numbers. Knowing these types of sums can easily make you score full marks (i.e, 6marks) in this Chapter. You can also practise questions related to real numbers from Class 10 Mathematics Last Question Paper.

Polynomials: Learn to differentiate between degrees of polynomial, understand zeros of polynomials and its relation with coefficient of polynomials. Practice the division algorithm for polynomials. Division algorithm holds more marks and needs more practice. Practise questions from CBSE previous year question papers Class 10 Mathematics with solutions.

Pair of Linear equations in two variables: This Chapter is divided into 6 parts. The very first part introduces you to the linear equation of two variables. Just understand the concept and go through the problem sums given.

From the second part learn and practise finding solutions graphically, comparison of two lines (check if they intersect, parallel or coincide), checking of consistency and inconsistency of equations

From the third, fourth and fifth part practise solving pairs of linear equations by substitution method, elimination method and cross-multiplication method. These are the important sections of the Chapter and need thorough practice.

Last part teaches how to convert non-linear equations to linear equations. 

Quadratic Equation: Quadratic equation contains a variable raised to the power of 2 which is the highest degree. All you need to practise in this Chapter is to solve the quadratic equation (finding the roots)  by factorisation method and completing the square method. You can also find the roots by using Sridharacharya’s method. The last section of the Chapter deals with the nature of roots and problem sums. 

Arithmetic Progression: Solve numerical problems related to finding the first term or nth term or common difference of an AP series. Also, learn and practise finding out the total sum and last term of an AP series. Refer to Class 10 Mathematics Previous Year Question Paper for the types of CBSE questions related to this Chapter.

Triangles: Two triangles are said to be equal if their corresponding angles are equal or if their corresponding sides are in the same ratio. Learn the following theorems:  2 theorems related to the ratio of the division of two sides of a triangle, 3 theorems related to the criteria for similarity of triangles and 2 theorems related to the area of similar triangles. Also, understand and practise Pythagoras theorem.

Coordinate Geometry: To score maximum marks from this Chapter, practise different types of sums based on distance and section formula. Learn to find coordinates of points, the midpoint of the line segment and area of a triangle.

Introduction to Trigonometry: Learn the Trigonometric Ratios table and identities, know the properties of the right triangle, Pythagoras theorem and the relation between the sides of a right-angled triangle. Memorise the value of standard Trigonometric angles and basic formulas. Practise as many sums as you can.

Some applications of Trigonometry:  Learn the terms related to height and distance, that is the line of sight, horizontal level, the angle of elevation and the angle of depression. Find the height of a building or monument if the angle of elevation and the distance of the building is given. Similarly, the determination of the angle of elevation, angle of depression and distance of the object. 

Circles: Go through the following topics: Tangents to a circle, proving that the tangent at any point of a circle is perpendicular to the radius through the point of contact and the lengths of tangents drawn from an external point to circle are equal.

Constructions: Practise division of a line segment in a given ratio (internally), tangent to a circle from a point outside it and construction of a triangle similar to a given triangle.

Areas related to Circle: Area of a circle; area of sectors and segments of a circle. Practise problems based on areas and perimeter/circumference of the above-said plane figures. 

Surface area and Volume: Understand basic shapes and learn important formulas related to areas, perimeter, surface area and volume of all 2D and 3D figures. Practice breaking the figure into different simple shapes like square, triangle, etc to find the area of the volume of the figure.

Statistics: From this Chapter go through all the example sums and understand the concept of Mean, Classmark, upper and lower Class limit, assumed mean method, step deviation method, mode,  median and cumulative frequency.

Probability: Learn the Classical definition of probability and practise simple problems on single events. Mathematics Previous Year Question Paper Class 10 contains a lot of questions from this Chapter.

 

How to Secure Good Marks in CBSE Exam 2022-23?

To excel in Mathematics all you need is the right strategy and lots of hard work. It is a myth that only intelligent people excel in Mathematics because even intelligence is 90% of hard work. So follow the tips below to align your preparation in the right direction. 

  1. Go through the syllabus properly and segregate the Chapters. Read the Chapter, understand the concept, go through the example sums, solve different types of questions from the exercise and test yourself by solving the previous year question paper.

  2. Practise as many questions as you can solve from CBSE previous year question papers in Class 10 Mathematics with solutions to understand the question pattern, complexity level and the importance or weightage of different Chapters. Practise will bring out the perfection in your answers, will make you confident, bring speed and also help you memorize the method.

  3. Do not skip or leave any Chapter. If you don’t have enough time then at least go through the example sums and solve a few basic numericals to gain confidence. Leaving Chapters can make you miss out on easy questions. 

  4. Work on your perfection. Don’t forget to master the Chapter you studied well because it can become your strength and help you score good marks. Solve all the complicated exercise questions and also solve questions related to those Chapters from Mathematics previous year question paper Class 10.

  5. Do not panic, do not get nervous and don’t start learning any new topic just before the exams. Instead, keep revising and practising whatever you have studied. 

  6. Revision is as important as preparation so revise your Class notes, formulas, the questions you solved and whatever you studied. Because the lack of revision can make your time and studies go in vain if you forget. So focus on revision especially during the last days of your exam. 

 

Why Solve CBSE Class 10 Mathematics Last Year’s Question Paper?

CBSE is a board with an influential educational policy which ensures a standard and effective pattern of education to all the students pursuing CBSE. To crack the CBSE Exam one needs rigorous preparation and commitment, the right amount of hard work and consistent practice. It is also very important to evaluate your current preparation and your performance. Given below are the benefits of solving the previous year question paper. 

Every exam has a reliable exam pattern to test students' knowledge and their ability to perform in future. Solving Mathematics previous year question paper Class 10 after studying the Chapter helps you to understand the exam pattern, weightage of each topic, and furnishes your exam preparation. Practise increases your speed during exams because a lot of students fail to complete the paper on time. Practising drills in you the tendency to think of the solution of the given question at breakneck speed. Also, you can predict the topics that can come in exam by gauging the frequency and interval of the repeated questions. This can help you strategize your preparation and score good marks. So solve the Class 10 Mathematics Previous Year Question Paper, refer to the solutions and ask your teacher incase of any doubt.

 

How to Solve CBSE Class 10 Mathematics Previous Year’s Questions?

Previous year’s question paper is considered as an exquisite study material for all the student’s who are diligently preparing for CBSE board exams. To ace your preparation it is recommended to use Question papers in the most effective way. Some students end up only reading the questions and some just go through the solutions of the questions. There are some students who waste a lot of time blindly mugging up the question answers from Solved Papers. Some refer to ten years after completing every Chapter and solving selective questions. Thus, there are various ways of utilizing Previous years question papers but it is important for you to know the most effective way of solving the question paper. Below are some tips to follow while solving ten years of CBSE.

1. Solve the question paper under timed Condition - Sometimes you notice yourself taking more time to solve the questions from ten years even after studying the Chapter well. You can also feel the need to refer to the Chapter while solving questions, this is because you have not revised the Chapter or missed out the points while studying. Thus, to solve question papers it is very important to remember and be sure of each part of the Chapter or else you won’t be able to complete the paper on time. Go through example sums and practise different types of questions from the exercises to understand the concept and increase your speed. Once your knowledge of the Chapter becomes strong, you will gain enough speed to complete the paper fast. While solving the question paper, fix a certain time for each question and try to solve it in the set time. Even if you fail to complete a question under timed conditions, keep moving on to the next question and check how many questions you answered on time. Revise the Chapter and try the incomplete questions again.  

2. Try solving the questions without seeing the solutions- Study the subject/ section well before starting with Question papers and do not refer to the book of solutions while solving. Match your answers from the given solution after solving the question paper, this will help you understand the difference in your level and the level of answer expected. You also get to analyze how strong your preparation is and what are the areas you are weak in so that you can work on your weakness and achieve your set goal. Rectify your mistakes and try not to repeat them during exams.

3. Don’t go Chapter-wise - Solving previous year questions after completing the Chapters is more effective than solving ten years questions separately for each Chapter. 

4. Use pen and paper to solve and keep it as a note - Making a note of the solved answers along with the questions is very beneficial as it can be handy and easy for you to revise whenever you want. 

5. Revise all the questions you have solved - Make sure you revise all the solved answers before exams and not regret later. Imagine how amazing it would be if you solve a question from ten years ago and come across a similar question in the exam. But what if you fail to recollect the answer. Thus, revision is as important as preparation. So don’t let your hard work go in vain.

 

Ask for Solutions of Sample Question Papers for Class 10 Mathematics

Learning has never been this easy before, with Vedantu offering state-of-the-art technology to bring education beyond boundaries. Bridging the divide between teachers and students, this suave virtual technology which even keeps control of break sessions and instant alerts to parents, are just a few of the system's highlights. There are different approaches applied to learning, as understood and rooted in Vedantu's philosophy. 

Thus, all the offerings and Mathematics question papers for Class 10 solutions are customized yet exhaustive, with the utmost care given to every student’s pain point. It does not stop at just providing solutions in a PDF version, but is meticulous enough to work around students? specific needs and provide clarifications beyond the regular text. 


Vedantu's tutors are handpicked by a team of professionals who understand what the students need, after an in-depth survey carried out constantly for continuous improvement. These tutors are then coached before on-boarding for providing personalized learning which includes giving regular tests to students, doubt busting and thorough revision, teaching as per the Class curriculum and providing regular reports to parents about their child's progress. All tutors stand for undying passion and commitment towards teaching, a quality which our existing customers keep coming back to us for. 

A student, on the other hand, has the liberty to explore courses they would want to begin their learning from in Mathematics and Sciences. This assistance is beneficial in both making a strong foundation of the subject, for the students' understanding, and also building pace for students to do better in examinations. Since it's a virtual and interactive session that students and tutor enjoy, it is much better than recorded lectures and works seamlessly with the world-Class technology in use. It's a customized learning experience aimed at creating happy students, eager to learn and perform their best.

 

Date Announced for CBSE Class X Examination 2022-23

Currently, the CBSE Class ten term one examination is set for Saturday, December 4th, 2021. The exam will last 90 minutes and will take place between 11:30 a.m. and 1:00 p.m. Both the topics Mathematics standard and Mathematics basic, with subject codes 041 and 241, are to be completed in the 90 minutes allotted.

 

Notes Released from CBSE Regarding Examination 2022-23

  1. Minor subject date sheets will be sent to schools separately. These subjects will be examined beginning November 17th, 2021.

  2. In addition to the foregoing examinations for Class X, examinations for minor topics in Class XII will be held.

  3. Each main subject's paper will be 90 minutes long.

  4. Instead of 15 minutes, the reading time will be 20 minutes. Because of the winter season, the exam will begin at 11:30 a.m. rather than 10:30 a.m.

  5. In addition, the Admit Card and the Schools will supply any other examination-related information that is required. CBSE will also keep schools, candidates, and parents up to date on examinations through a variety of different channels.

  6. Information shared on social media may or may not be taken into account.

  7. Always double-check the veracity of any information on the CBSE website cbse.nic.in

Preparation Tips for CBSE Class 10 Maths Exam

The following tips from our subject experts will help students do well in their Class 10 CBSE Maths exam.
  • Make a study plan to cover five/ six chapters in a week.

  • Revise and practise the formulas from each chapter covered in the Class 10 Maths syllabus daily.

  • Make a note of the sums that you are facing difficulty in solving. Revise the concepts required to solve these sums from scratch and practice them.

  • Keep a time slot of an hour or two for practising the construction of geometric figures at least three days a week.

  • Solve the Class 10 Maths CBSE previous year question papers thoroughly before the exam.

Importance of Solving the Previous Years Question Papers for Class 10 Maths Exam

The following points will help you get a better understanding of the advantages of solving the CBSE previous year Class 10 Math question papers.

Going through the last 15 years or last 10 years CBSE Class 10 Maths question papers will help you get a clear idea of the number of sections to be expected in Class 10 CBSE Maths exam 2022.

Referring to the previous year question papers (2007-2020) for Class 10 Maths will provide you with knowledge about the marks distribution.

Practising the step-by-step solutions available for all sums covered in the last 15 years Maths Class 10 CBSE question papers will help students to get a good grip on the concepts covered in the syllabus for Maths Class 10.

Students can solve these previous year's Maths question papers for Class 10 on their own and verify their answers with the solutions given in the PDFs to understand their exam preparation.

Also, solving the last 15 years or last 10 years' Maths question papers will help students gauge the time management skills required for the Class 10 Maths exam.


Besides the CBSE Maths Class 10 previous year question papers (2007-2020), the subject matter experts have curated and prepared several other useful study resources for Class 10 Maths. Students can refer to the Class 10 Maths chapter-wise NCERT Solutions PDF on Vedantu for covering the Maths syllabus from scratch. Also, they can revise the syllabus for their CBSE Class 10 Maths exam by downloading and referring to the revision notes, sample papers, important questions, and other study resources from Vedantu, for free.


 

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Vedantu primarily serves students in the Indian Certificate of Secondary Education (ICSE) and the Central Board of Secondary Education from Grades 4 to 12. Live online tutoring in STEM, Hindi, English, Sanskrit, German, French, Environmental Science, and Social Science is currently the company's major business. For its one-on-one student-teacher live sessions, it employs the White Board Audio Video Environment (WAVE) technique. It offers exam preparation Classes for the Joint Entrance Examination (JEE) Foundation, the National Talent Search Examination (NTSE), the National Eligibility Entrance Test (NEET), and the Problem Solving Assessment at Indian Institutes of Technology (PSA). Use the platform to properly train yourself and bring out your greatest qualities.


Other Important Links for CBSE Class 10 Maths

 

CBSE Class 10 Other Subject Previous Year Question Papers

FAQs on CBSE Previous Year Question Papers Class 10 Maths PDF Free Solutions (2007-2020)

1. What is the exam pattern for CBSE Class 10 Maths paper?

According to the latest CBSE exam pattern, CBSE Class 10 Maths question paper will consist of 40 questions in total which are divided into four sections, i.e. A, B, C and D. Class 10 Maths question paper will carry 80 marks in total.

  • Section A will contain 20 objective type questions with each worth of one mark. Apart from MCQ, there will be various types of objective type questions such as fill in the blanks, short answer type questions, etc.

  • Section B will contain six short answer type questions (Type-I) with each worth of two marks.

  • Section C will contain six short answer type questions (Type-II) with each worth of three marks.

  • Section D will contain six long answer type questions with each worth of four marks.

2. What are the advantages of solving CBSE Class 10 Maths Previous Year Papers?

The advantages of solving CBSE Class 10 Maths Previous Year Papers are given in the following. Take a look -

  1. It will help students get an idea about the exam nature and pattern.

  2. Students will be aware of the difficulty level of the questions asked in the exam.

  3. Referring to the CBSE Class 10 previous year papers will help students build concentration and gain confidence in the exam without any fear.

  4. Practising these previous years papers also helps Class 10 students to know their conceptual strengths and weaknesses which they can work on and improve before the CBSE board exam.

3. How to solve CBSE Class 10 Previous Year Papers for Mathematics?

You can follow the steps given below to solve the CBSE Class 10 Previous Year Papers for Mathematics. Take a look.

  • Step 1 – Firstly, download the CBSE Class 10 previous year paper from Vedantu website or app that you want to solve/ practise.

  • Step 2 – Solve the question papers seriously just like you would take the real exam.

  • Step 3 – Then take help of our solutions PDF (available on our site/ app) to evaluate your written paper. Identify the questions/ answers that you couldn’t answer correctly.

  • Step 4 – Then work on those topics/ concepts and revise again.

4. Can I download these CBSE previous years’ question papers for Class 10 Maths for free?

Yes, you can download last 10 years question papers of CBSE Class 10 Mathematics, Science and Social Science subject from the links given in PDF format below. Along with the CBSE previous year papers Class 10 papers, students can also find a separate solution PDF for each paper. The answers are provided in a detailed manner so that students can easily understand the solution. These answers files will also help students to understand how much to write for a particular question based on the marks allocated to it. Thus, students get to know them better and answer writing skills which will fetch them more marks in the exam.

5. Which books should I refer to when preparing for CBSE Class 10 Mathematics?

This is an excellent question, because students can become puzzled and turn to other publications that aren't as useful for CBSE board exams. NCERT books are the finest if you wish to do well in board exams. You can utilise NCERT books to solve problems. Not only should you consult NCERT books and solutions, but you should also consult previous papers and sample papers, since these are essential for exam success. You can download the Vedantu app from the play store and kick start your preparation for the exams.

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