Previous Year Question Papers Class 10 Maths

CBSE Previous Year Question Papers Class 10 Maths with Solutions

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

CBSE Previous Year Question Paper for Class 10 is the best way to analyse your preparation levels. While preparing for Class 10 Board Exams, if you are stuck at a stage where you are not sure where exactly you stand. Then CBSE Class 10 Previous excellence in your upcoming exams. 

Utopper is a platform that provides free NCERT Solutions and other study materials for students. Maths Students who are looking for better solutions ,They can download Class 10 Maths NCERT Solutions to help you to revise complete syllabus and score more marks in your examinations. Science Students who are looking for NCERT Solutions for Class 10 Science will also find the Solutions curated by our Master Teachers really Helpful.

CBSE Previous Year Question Papers for Class 10 Maths

Previous Year Question Paper 2018

How CBSE Previous Year Question Papers Class 10 Maths with Solutions are helpful to score more marks?

Before you start with your preparations for CBSE exam 2020, it is important for you to understand the exam pattern and the importance of each chapter.

Exam Pattern

According to CBSE revised Exam Pattern, 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 the four sections.


Number of questions

Marks Per Question

Total Marks

Section A

20 questions (1-20)

1 mark per question


Section B

6 questions (21-26)

2 marks per question


Section C

8 questions (27-34)

3 marks per question


Section D

6 questions (35-40)

4 marks per question



80 marks

Chapter-wise weightage  

CBSE has recently released the sample paper for Board Exam 2020. According to which the weightage of each unit along with chapters are given below: 





Unit 1

Number System

6 marks

Real Numbers


Unit 2


20 marks

Pair of Linear equations in two variables

Quadratic Equation

Arithmetic Progression

Unit 3

Coordinate Geometry

6 marks


Coordinate Geometry

Unit 4


15 marks



Unit 5


12 marks

Introduction to Trigonometry

Some applications of Trigonometry

Unit 6


10 marks

Areas related to Circle

Surface area and Volume

Unit 7

Statistics and Probability

11 marks



How to study Maths for CBSE Exam 2020? 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 Maths Last Question Paper.

Polynomials: Learn to differentiate between degrees of polynomial, understand zeroes of polynomial 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 maths 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 pair 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 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 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 Maths 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. Maths Previous Year Question Paper Class 10 contains a lot of questions from this Chapter.

How to secure good marks in CBSE Exam 2020?

To excel in Maths all you need is the right strategy and lots of hard work. It is a myth that only intelligent people excel in maths 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 class 10 maths 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, brings speed and also helps you memorize the method.

  3. Do not skip or leave any chapter. If you don’t have enough time then atleast go through the examples sums and solve a few basic numerical 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 Maths 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 Maths 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 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 Maths 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 2020 by gauging the frequency and interval of the repeated questions. This can help you strategize your preparation and score good marks. So solve Class 10 Maths Previous Year Question Paper, refer to the solutions and ask your teacher incase of any doubt.

How to solve CBSE Class 10 Maths 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. Given below are some tips to follow while solving ten years 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 of referring 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 it 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 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.