The National Council of Educational Research and Training (NCERT) publishes books with practice questions and solutions as per the CBSE Class 10 Maths syllabus every year. However, solving the Maths problems in the NCERT book can be challenging for students. At Version Weekly, you can find detailed solutions for the questions in the NCERT book for CBSE Class 10 Mathematics. You can use our Class 10 Maths NCERT book solutions to match your answers, methods and understand the correct answers.
- Chapter 1 Real Numbers
- Chapter 2 Polynomials
- Chapter 3 Pair of Linear Equations in Two Variables
- Chapter 4 Quadratic Equations
- Chapter 5 Arithmetic Progressions
- Chapter 6 Triangles
- Chapter 7 Coordinate Geometry
- Chapter 8 Introduction to Trigonometry
- Chapter 9 Applications of Trigonometry
- Chapter 10 Circle
- Chapter 11 Constructions
- Chapter 12 Areas related to Circles
- Chapter 13 Surface Areas and Volumes
- Chapter 14 Statistics
- Chapter 15 Probability
Most Important MCQ Questions for Class 10 Maths with Answers in PDF
- Real Numbers MCQ Questions
- Polynomials MCQ Questions
- Pair of Linear Equations in Two Variables MCQ Questions
- Quadratic Equations MCQ Questions
- Arithmetic Progressions MCQ Questions
- Triangles MCQ Questions
- Coordinate Geometry MCQ Questions
- Introduction to Trigonometry MCQ Questions
- Some Applications of Trigonometry MCQ Questions
- Circles MCQ Questions
- Constructions MCQ Questions
- Areas Related to Circles MCQ Questions
- Surface Areas and Volumes MCQ Questions
- Statistics MCQ Questions
- Probability MCQ Questions
Important Resources for CBSE Class 10 Maths:
- CBSE Class 10 Maths Notes
- Important Questions for CBSE Class 10 Maths
- CBSE Class 10 Maths Formulas
- NCERT Exemplar Problems Solutions for Class 10 Maths
- CBSE Sample Papers for Class 10 Maths
- CBSE Previous Year Question Papers for Class 10 Maths
- CBSE Class 10 Maths Syllabus
- NCERT Books for Class 10 Maths
- Changes for CBSE 2020 Exam for Class 10th
- Class 10 Maths Preparation Tips
How to Prepare Maths for Class 10? Tips to Improve Marks in Class 10 Maths Board Exams
CBSE Sample Question Paper for Class 10 Maths @ cbse.nic.in
| Year of Examination | Maths Sample Question Paper | Answers/ Marking Scheme |
| 2019-2020 | Download PDF | Download |
| 2018-2019 | Download PDF | Download |
| 2017-2018 | Download PDF | Download |
| 2016-2017 | PDF Download | Download |
| 2015-2016 | PDF Download | Download |
Download Formula Book for Class 10 Maths and Science
Points to keep in mind while writing the Maths paper
Before you go to write the exam, you should have a plan to solve all questions appropriately and complete the exam within 3 hours. Check below some important tips on how to solve the Maths CBSE Board Paper 2020:
- Read the question paper with full concentration.
- First, attempt the questions you are sure about and then move on to the unfamiliar ones.
- Solve each question in step-wise manner as there is a criterion of step marking in CBSE Board Exams.
- If you get stuck while solving a particular problem then leave it and move ahead. Get back to that question in last.
- Remember, there is no negative marking for wrong attempts in CBSE exams. So try to solve all the questions which you had left by applying the basic concepts.
- Try doing mental calculations to maintain speed.
- Cross check all the solutions in last to avoid any silly mistakes or major errors.
Important Tips to Finish Maths Paper on Time
Students often face problem in completing the Maths paper on time due to the long and tricky calculations performed while solving the Maths questions. Students generally panic while solving questions in exam due to which they are unable to finish the paper on time. Just because they run out of time, they have to leave a few questions unwillingly and quite often it has been observed that the questions they leave are those which they could do very easily. Such situation becomes very disappointing.
1. Know the examination pattern and question paper design
In order to write the Maths exam smoothly, the most important thing is to understand the examination pattern/ question paper design which will make you familiarised with the structure of question paper you will get in the board exam. Moreover, you will also get to know the different formats in which questions will be asked along with their mark wise breakup. If you will be having an idea about the pattern of questions then you won’t find it difficult to understand the exam structure on the final day and save some of your crucial time.
2. Prepare a strategy for the exam before you take it
After understanding the examination pattern, next job is to deeply analyse the exam pattern and prepare a strategy for the final exam. Check the number of questions, their types and marks breakup to be followed in the CBSE board question paper.
Following table states the questions’ structure for CBSE Board Mathematics Exam 2020:
|
Section |
Number of Questions |
Marks per question |
|
A |
20 (1-20) |
1 |
|
B |
6 (21-26) |
2 |
|
C |
8 (27-34) |
3 |
|
D |
6 (35-40) |
4 |
Thus, you will have to solve a total of 40 questions in 3 hours, i,e., 180 minutes. So, you should make a proper time division so that you are able to attempt all questions well on time.
A moderate time division can be done as below:
|
Section |
Number of questions |
Time |
| A (1 mark questions) |
20 |
30 minutes |
| B (2 marks questions) |
6 |
25 minutes |
| C (3 marks questions) |
8 |
50 minutes |
| D (4 marks questions) |
6 |
60 minutes |
| Total |
30 |
165 minutes |
Following the above time division plan, you will still have 15-20 minutes which can be utilised in revising the whole paper, checking the complex calculations and attempting the left questions. Remember one thing, there is no negative marking in board exams, so students must try to attempt all questions.
3. Use the first 15 minutes effectively
The best thing that CBSE offers its students is the 15 minutes reading time before they start writing their exam. These, 15 minutes can be of great help to prepare a strategy for writing the exam appropriately. You must read all 40 questions properly and mark them into categories viz easy, manageable and tough. This is done to have an overall idea about the questions and make a rough plan to attempt all of them smoothly and correctly.
4. Don’t worry about the tough/complex problems
While going through the paper, when you find some questions that seem to be tough or complex to you, you need not to worry about it as this anxiety will only harm your performance. So, you just start with the easier problems. As you will move further solving each question and obtaining correct answer, you will gain confidence for the complex problems as well. This way, when you will actually work on them, you will find most of them to be much easier than they seemed earlier to you.
5. Understand the worth of each question
Now when you are going to attempt the paper, you must have an idea that how much each question is worth and estimate the time you should spend working on each one, so that you don’t waste much time on a question which won’t fetch you enough marks otherwise you will lose some important marks for other questions which might be left unsolved due to the time lack.
6. Maintain speed and accuracy hand in hand
Maintain accuracy while you are solving quickly. Make sure you don’t get confused between two different topics. Try to implement quicker methods in calculations to save your precious time. Be careful with the signs and terms used in a problem, otherwise it will take a lot of time to solve a problem leading to an incorrect answer. Be even more careful while copying a question from the question paper.
7. Keep a close watch on the time
Keeping an eye on your watch will help you keep a track of the time and know how many questions are still left. Moreover, it will help you check that you are strictly adhering to the time allocation scheme you had decided in the beginning. However, a minor variation in the time allotted to each section or question, is not at all a reason to worry.
Along with preparing hard for an exam it’s very important to make a strategy to write that exam in a proper way and in time as well so that your hard work gets reflected in your answer sheet. So, study hard and prepare smart, you will definitely succeed.
All the Very Best!
NCERT Solutions for Class 10 Maths
Chapter 1 – Real Numbers
The first chapter in CBSE Class 10 talks about HCF and LCM. These are followed by Euclid’s division lemma, rational and irrational numbers, and conversion of fractions to decimals and decimals to fractions. Version Weekly NCERT solutions have the solutions to all the questions present in all four exercises. These solutions help you to revise and practice with the easiest methods provided by our experts.
Chapter 2 – Polynomials
Chapter 2 of Class 10 CBSE is on polynomials. Our solutions tell you how to efficiently verify the relation between zeros and the coefficient. The NCERT solutions also explain the method to find the zeros of polynomials and the solutions for quadratic polynomials.
Chapter 3 – Pairs of Linear Equations in Two Variables
Class 10 Maths Chapter 3 is the study of algebraic and graphical methods for solving linear equations. Through our solutions, revise the elimination method and cross-multiplication method that can be used in solving problems based on linear equations.
Chapter 4 – Quadratic Equations
Chapter 4 is about converting word problems to quadratic equations. By using our expert answers or solutions to your Maths-related questions as your reference, you will be able to find the roots of a quadratic equation in this chapter.
Chapter 5 – Arithmetic Progressions
Chapter 5 has questions on arithmetic progressions. To help you understand the concept of arithmetic progression, our experts have shared detailed answers for the NCERT textbook questions in our NCERT Solutions for Class 10.
Chapter 6 – Triangles
Chapter 6 includes solutions for the important topic of triangles. Understand how the shape of a triangle is formed. Solve problems related to the properties of triangles in this chapter. Study the different types of triangles such as isosceles triangle, right-angled triangle, equilateral triangle and applications of triangles in trigonometry with Class 10 Maths NCERT book solutions.
Chapter 7 – Coordinate Geometry
Class 10 Maths Chapter 7 improves your knowledge about concepts such as slopes, origins, axes, coordinates etc. In this chapter, you will learn how to find the coordinates as per the given data. Explore answers such as finding the distance between two points using their coordinates and more.
Chapter 8 – Introduction to Trigonometry
Take advantage of our well-written NCERT solutions for Class 10 Maths Chapter 8 to practice problems related to trigonometry without stress. Understand how to tackle problems on trigonometric ratios of angles from NCERT Solutions.
Chapter 9 – Some Applications of Trigonometry
Get detailed answers or solutions on applications of trigonometry as per the latest CBSE Class 10 NCERT books. Learn to solve questions on finding the heights and distances of various objects. Also, revise the various applications of trigonometry with our NCERT solutions for Class 10 Maths Chapter 9.
Chapter 10 – Circles
Understand concepts such as tangent, secant and number tangents from a point to a circle and more with a proper solution. Also, learn about the relevance of the radius, diameter and centre while studying the topic of circles in detail.
Chapter 11 – Constructions
Class 10 Maths Chapter solutions will help you to attempt questions that involve drawing tangents to a circle. Also, find answers on accurately creating a division of the line segments in our textbook solutions. Additionally, you will learn how to give the mathematical justification or solution of a construction.
Chapter 12 – Areas Related to Circles
There are three questions related to the area of circles in this chapter. Solve problems related to ‘Perimeter and Area of a Circle’, ‘Areas of Combinations of Plane Figures’ and ‘Areas of Sector and Segment of a Circle’. Use our NCERT solutions for Class 10 Maths Chapter 12 to revise this chapter thoroughly.
Chapter 13 – Surface Areas and Volumes
In CBSE Class 10, the ‘Surface Areas and Volumes’ chapter is a part of the mensuration unit. You can find detailed explanations of these concepts on our website. The NCERT Grade 10 Maths Chapter 13 solutions will help you to practice the problems with the help of the NCERT solutions for each question.
Chapter 14 – Statistics
Study with ease the concept of grouped and ungrouped data in Statistics. Without taking any stress, you can now revise cumulative frequency curves by practicing our expert solutions for this chapter. Learn how to find the mean, mode or median of grouped data from our NCERT solutions. Also, learn to solve Statistics questions by understanding the concept of cumulative frequency distribution and get a proper final solution.
Chapter 15 – Probability
NCERT Class 10 Maths Chapter 15 includes detailed answers on probability-based questions. These NCERT solutions will teach you how to solve simple problems based on the concept of theoretical probability.