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

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

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

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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
   
   

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Other Important Links for CBSE Class 10 Maths

CBSE Class 10 Other Subject Previous Year Question Papers