All you need to know about CBSE Class 10 Maths


All you need to know about CBSE Class 10 Maths

The main objective of CBSE Class 10 Maths is to help students to consolidate their Maths knowledge and skills learnt in the primary grade. The class 10 Math students are introduced to new word problems and chapters like Trigonometry which can help them with understanding real-life applications of the concept learnt. Newly introduced Case Study questions can also help achieve this objective.

In this article, you will find all the information about CBSE Class 10 Maths syllabus, study material, preparation tips for the Class 10 Maths Board Exam 2022.

The article covers the following topics. You may click on link to find out the information you are looking for with respect to CBSE Class 10 Maths.

  1. CBSE Class 10 Maths Course Structure
  2. CBSE Class 10 Maths Revised Syllabus for Board Exam 2022
  3. CBSE Class 10 Board Exam Paper Pattern
  4. How to prepare for CBSE Class 10 Maths Board Exam?
  5. CBSE Class 10 Math Case Study Questions
  6. CBSE Class 10 Math Chapter-wise important notes and Mind Map
  7. CBSE Class 10 Maths Chapter Wise Sample Questions Worksheets
  8. CBSE Class 10 Maths Chapter wise Important Questions – HOTS
  9. CBSE Class 10 Maths Chapter Wise Important Questions – MCQs
  10. CBSE Class 10 Maths Chapter Wise Sample Test Papers
  11. NCERT Class 10 Maths Solutions Chapter Wise
  12. FAQs for Class 10 Maths

1.CBSE Class 10 Math Course Structure


In CBSE Class 10 Maths, for the Class 10 Maths Board Exam 2022 the course is structured as follow:

Unit No Unit Name Marks in CBSE Class 10 Maths Board Exam 2022
1. Number Systems 6
2. Algebra 20
3. Coordinate Geometry 6
4. Geometry 15
5. Trigonometry 12
6. Mensuration 10
7. Statistics & Probability 11
  Total 80




2. CBSE Class 10 Maths Revised Syllabus for Board Exam 2022

Chapter Name Syllabus for CBSE Class 10 Maths Board Exam 2022
Real Number Euclid’s Division Lemma

Euclid’s Division Algorithm

Fundamental Theorem of Arithmetic ( Finding LCM & HCF )

Proofs of irrationality

Decimal representation of rational numbers

Polynomials Zeroes of polynomial

Relationship between zeroes & coefficients of quadratic polynomials

Division Algorithm

Pair of Linear Equations in 2 variables Graphical Method for Solutions


Algebraic Conditions for Number of Solutions

Solving pair of Linear Equations by Substitution

Solving pair of Linear Equations by Elimination

Solving pair of Linear Equations by Cross Multiplication

Simple situational problems

Reducible Linear Equations

Quadratic Equations Standard form of Quadratic Equation

Solution of quadratic Equations by Factorization

Quadratic Formula

Relation between discriminant and nature of roots

Situational problems based on equations reducible to quadratic equations

Arithmetic Progressions Nth term of AP

Sum of first n terms to AP

Application to daily life problems involving sum to n terms

Coordinate Geometry Coordinates

Graphs of linear equations

Distance Formula

Section Formula (internal division)

Midpoint Formula

Area of Triangle


Triangles Basic Proportionality Theorem – If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.(proof also to be learnt )


l  Converse of BPT – If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side

l  Conditions of Similarity – AA, SSS, SAS

Areas of Similar Triangles – The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides

l  Pythagoras Theorem

l  Converse of Pythagoras Theorem – if the square on one side is equal to sum of the squares on the other two sides, the angle opposite to the first side is a right angle

Circles Tangent to circle at pt of contact – The tangent at any point of a circle is perpendicular to the radius through the point of contact.

l  Tangents from the same external point – The lengths of tangents drawn from an external point to a circle are equal.

Constructions l  Division of a line segment in a given ratio (internally)

l  Construction of a triangle similar to a given triangle.

l   Tangents to a circle from a point outside it.

Introduction to Trigonometry l  Trigonometric ratios of an acute angle of a right-angled triangle

l  Values of the trigonometric ratios of 30, 45 and 60 degrees .with proof

l  Trig Ratios of complementary angles

l  Relationships between the ratios.

l  Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given.

Applications of Trigonometry l  Angle of Elevation

l  Angle of Depression

l  Problems on heights and distances

Areas Related to circles l  area of a circle

l  area of sectors and segments of a circle

l  Problems based on areas and perimeter/circumference

l  (In calculating area of segment of a circle, problems should be restricted to the central angle of 60°, 90° and 120° only)

l  Plane figures involving triangles, simple quadrilaterals and circle should be taken.)


Surface Area & Volumes l  Cubes

l  Cuboids

l  Sphere

l  Hemisphere

l  Right Circular Cone

l  Right circular cylinder

l  Frustum of a cone


Statistics l  Mean using the direct method

l  Mean using the assumed mean method

l  Step Deviation Method for finding Mean

l  Cumulative Frequency Graph ( ogive)

l  Median

l  Mode

Probability l  Classical definition of probability.

l  Simple problems on finding the probability of an event.


3.CBSE Class 10 Board Exam 2022 Paper Pattern

The new CBSE Class 10 Board Exam paper has a very different pattern from previous years.

5 mark questions have been introduced in the CBSE Math paper. These are long answer questions that are mostly based on the NCERT Maths Textbook.

Case Study questions have been introduced for the very first time. These are conceptual questions based on real-life applications. These will form 20% of the paper, which is 16 marks.

Objective Type Questions which are in the form of 1 mark questions such as V.S.A ( very short answer questions), MCQs ( Multiple Choice Questions), Fill in the Blanks, True or False Questions will form 30% of the paper, which is 24 marks.

Hence 50% of the paper ( 40 marks) will be Competency-Based Questions that assess the application of concepts in real-life/ unfamiliar.

The detailed question paper pattern for CBSE Board Exam 2022 has not been released yet. Below is the Question Paper pattern followed in 2021.

The CBSE Class 10 Board question paper 2021 contained two parts A and B.

Both Part A and Part B will have internal choices.

 Part – A

1.This part consists of 2 sections- I and II.

2.Section I has 16 questions of 1 mark each. Internal choice is provided in 5 questions.

3.Section II has 4 questions on a case study. Each case study has 5 case-based sub-parts. An examinee is to attempt any 4 out of 5 sub-parts.

Part – B:

  1. Question No 21 to 26 are Very short answer type questions of 2 mark each
  2. Question No 27 to 33 are Short Answer Type questions of 3 marks each
  3. Question No 34 to 36 are Long Answer Type questions of 5 marks each.
  4. Internal choice is provided in 2 questions of 2 marks, 2 questions of 3 marks and 1 question of 5 marks.


4 How to prepare for CBSE Class 10 Maths Board Exam?

The Class 10 NCERT Maths Textbook questions should be thoroughly revised before the Board Exams. At least 10 Board Exam Sample papers needs are practised keeping 3 hours time Limit. Do not forget to practice the new pattern Case Study Questions, as these questions can be tricky and unfamiliar, and require out of box thinking.

One day before the Class 10 Math Board Exam

– Revise all Triangles and Circles Theorems

– Go through Chapter Wise Formulas

– Keep compass box ready with scale, compass, protractor, ad 2 sharpened pencils.

– Eat and sleep well

On the day of the Class 10 Maths Board Exam

– Use 15 minutes of reading time to carefully go through the question paper

– In questions with OR option decide which question you will attempt

– use the reading time to also read at least 2 case study questions and understand

– Be careful about time spent per question. Ideally spend 35 minutes for the 16 1 mark descriptive questions, 30 minutes for the case study questions, 30 minutes for 2 mark questions, 40 minutes for 3 marks questions and 30 minutes for 5 mark questions and 15 minutes for checking the paper

– Write neatly. Highlight all the final answers

– Do not write too many steps for 1 mark questions


5) CBSE Class 10 Maths Case Study Questions

The CBSE Class 10 Maths Exam will be most likely conducted in March 2022. The CBSE has included case study based questions for the Class 10 Maths Board Exam for the very first time. There will be four case study sets in the Class 10 Maths Board Question Paper (as per the 2021 paper pattern) each with 5 sub-questions.

Students need to attempt 4 of these sub-questions. The case study section alone is worth 16 marks which is 20% of the total marks, which students cannot risk losing.

Such type of questions is entirely new for the Class 10 students. These case studies will check the comprehension and interpretation skills of the students. The NCERT Math Class 10 textbook, previous board papers and regular school worksheets do not give the best insights on how to grasp, understand, or solve these seemingly long questions in the shortest time possible. The problem is there a huge dependency on memorizing and reproducing content. Even in Math, as long as the question is familiar, students have the confidence to solve it. This type of study does not work for solving case studies. In addition to memory, students need to understand the case study, see how to apply learnt concepts, and then solve the questions.

Students may join the Case Study 101 Course for sufficient practice for Case Study Type Questions. The course covers all important aspects of Case Study preparation, including out of box thinking and mathematical literacy which will help in scoring 16 out of 16 marks in the Case Studies.


6.CBSE Class 10 Maths Chapter-wise important notes and Mind Map

CBSE Class 10 Maths Chapter-wise important notes & Mind map is very useful in learning the theorems and formulas from each chapter. This will help you prepare for your CBSE Class 10 Maths Board paper. The notes and mind-map can be downloaded and printed for your reference.


7) CBSE Class 10 Maths Chapter Wise Sample Questions Worksheets

The below chapter wise sample worksheets will give you practice for revising concepts of each chapter in details. The worksheets have been designed by Math subject experts. Solve each question in the worksheet to enhance your Board exam preparation.


8) CBSE Class 10 Maths Chapter wise Important Questions – HOTS

CBSE Class 10 Maths Chapter wise Important Questions are Higher Order Thinking Skills Questions which will help to enhance your board exam preparation by providing you additional important questions from each chapter to study. Solving all these questions in addition to the Class 10 NCERT Maths textbook questions will help you get a thorough understanding of the chapter.

9) CBSE Class 10 Maths Chapter Wise Important Questions – MCQs

CBSE Class 10 Maths Chapter-wise MCQs ( Multiple Choice Questions ) practice is required to improve performance in online school test which are mostly conducted in MCQ pattern. Moreover, the practice for these type of question will also help in case study based questions, which are MCQ type questions

10) CBSE Class 10 Maths Chapter Wise Sample Test Papers

Solving more test papers can help you get better marks in the exam. Solve the below chapter wise test papers to get practice for questions of different marks, whether it’s short answer questions or long answer questions.


11) NCERT Class 10 Maths  Solutions Chapter Wise

The Class 10 NCERT math Textbook is the most important resource for a 10th-grade student to prepare for Board Exams. 70% of questions in the CBSE grade 10 board exam, come directly from the NCERT Maths Textbook. Hence every question in the Textbook must be practised thoroughly in order to succeed well in the exam. Often the same questions from the NCERT Math textbook are repeated in the exam with only a few values changed. The NCERT questions may also be modified to provide context for a case study based questions, which are newly introduced in CBSE Class 10 Board exam.

12) FAQS for Class 10 Maths

  1. Do I need coaching/tuition to score well in board exams?

No. It is not compulsory. The NCERT Textbook provides enough questions to master the concepts and formulas required for the Board Exam paper. However, access to good quality study material and shortcut techniques are not available easily to every student. The right tutor and institute can help you get to your goal faster by giving you greater conceptual clarity, giving you the right guidance, giving personalized attention and improving upon your weak areas. Certain sections of the Math Board exam paper like Case study based questions are new to the students. Good quality material is not easily available for this. In such a situation, a specialized course like CBSE MATHS 100 can be very useful in providing the class 10 student with the required practice to score well in the CBSE Class 10 Exam

  1. How to master in Class 10 Maths CBSE Board exam 2022?

The CBSE Board Exam 2022 is following a new pattern and different syllabus. It is important the Class 10 student be well versed with this new format and syllabus. Time management techniques will be very important as there is a total of 40 1 mark questions now – 24 objective and 16 case study – which can time to solve unless managed carefully. Conceptual clarity and correct recall of formula is important for the exams. For the 5 mark questions, complete steps including diagrams, figures, formula, and theorems will be important.

  1. Why has No of 1 Mark Questions increased in the CBSE Board Exam 2021?

Following are the benefits of adding 1 mark questions in the CBSE Board Exam ( 24 objective 1 mark questions, and 16 MCQ questions in the form of subquestions to case studies )

  • Your foundation basics of maths will increase
  • You will have the confidence to apply and attempt for Olympiads, aptitude test, and competitive exams in the future
  • Your mathematical competency and thinking will improve, which will help you become better with problem-solving for real-life applications.
  1. How to obtain NCERT Maths Solutions for Class 10?

You may click here and follow the links below the heading to access chapter wise solution to NCERT class 10 Math textbook questions. Solving the NCERT exercises is a very important first step to scoring well in Class 10 exams. Keep in mind that though there were deleted portions last year, this academic year according to the curriculum released by CBSE, there are no deleted portions. You need to follow the new curriculum carefully while practising for CBSE Board Exam 2022.


  1. What is NCERT Exemplar?

NCERT Exemplar is an excellent resource by NCERT which provides free to use question bank for every chapter of the NCERT Maths Class 10 Textbook. Each chapter comes with Objective Questions, Fill in blank Questions. True or False Questions, Very Short Answer Questions, Short Answer Questions and Long Answer Questions. The questions are of Higher-order compared to the NCERT Maths Textbook and hence is a valuable resource for practising HOTS questions. Questions from NCERT Exemplar have often appeared in the previous CBSE Maths Board exam. The Class 10 Maths exemplar questions can be accessed by clicking here.


  1. What is the difference between the Standard Level and Basic Level of Mathematics in the class X Board examination to be held in 2022?

The existing Mathematics examination pattern which was followed up to Board exam 2019 is the Standard Level Examination. Two levels of papers were introduced for the first time in 2020. Standard-Level and Basic-level Question papers shall be based on the same syllabus. However, Standard-Level Mathematics assesses higher Mathematical abilities compared to Basic-Level. Accordingly, the difficulty level of the Mathematics – ‘Basic’ is less than that of Mathematics-‘Standard’

The idea is to make the evaluation more students centric and reduce the pressure on the student who doesn’t want to pursue Mathematics after class X.


The below table shows the main differences with respect to percentage distribution with respect to type of questions for the Standard and Basic Paper


S. No. Typology of Questions Total Marks  % Weightage (approx.) Total Marks  % Weightage (approx.)
1 Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers.
Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas
43 54 60 75
2 Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. 19 24 12 15
3 Analysing : Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations
Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria.
Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions
18 22 8 10
  Total 80 100 80 100



  1. Which is the best place to prepare for Case Study Questions for CBSE Maths Board Exam 2022?

The Case Study 101 Course provides complete information required for scoring full marks in the case studies. It is the only course that prepares the class 10 student thoroughly for any type of exam. The course covers the main skills required to attempt case studies, different case study types, and timed tests for thorough case study practice.


  1. Is it possible to score 100% in the CBSE Maths Board Exam 2022?


Yes, It is possible. Mathematics is a subject where 100% can be scored if all questions are answered correctly, and steps written clearly. Good conceptual clarity and presence of mind are required. Regular practice will be very important when it comes to scoring 100% on the exam

It is not important to go through a lot of guidebooks for scoring 100%. However, with a change in the question paper pattern, and an increase in Competency-Based Questions, it will be important to solve more question related to real-life applications. Chapters such as Linear Equations, Quadratic Equations, Trigonometry, and Surface Areas and Volumes are the main chapters from where many real-life situational problems are asked.

You may join the CBSE Maths 100 course for a clear cut path towards securing 100%.