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 reallife 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.
 CBSE Class 10 Maths Course Structure
 CBSE Class 10 Maths Revised Syllabus for Board Exam 2022
 CBSE Class 10 Board Exam Paper Pattern
 How to prepare for CBSE Class 10 Maths Board Exam?
 CBSE Class 10 Math Case Study Questions
 CBSE Class 10 Math Chapterwise important notes and Mind Map
 CBSE Class 10 Maths Chapter Wise Sample Questions Worksheets
 CBSE Class 10 Maths Chapter wise Important Questions – HOTS
 CBSE Class 10 Maths Chapter Wise Important Questions – MCQs
 CBSE Class 10 Maths Chapter Wise Sample Test Papers
 NCERT Class 10 Maths Solutions Chapter Wise
 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  l Euclid’s Division Lemma
l Euclid’s Division Algorithm l Fundamental Theorem of Arithmetic ( Finding LCM & HCF ) l Proofs of irrationality l Decimal representation of rational numbers 
Polynomials  l Zeroes of polynomial
l Relationship between zeroes & coefficients of quadratic polynomials l Division Algorithm 
Pair of Linear Equations in 2 variables  l Graphical Method for Solutions
l Consistency/Inconsistency l Algebraic Conditions for Number of Solutions l Solving pair of Linear Equations by Substitution l Solving pair of Linear Equations by Elimination l Solving pair of Linear Equations by Cross Multiplication l Simple situational problems l Reducible Linear Equations 
Quadratic Equations  l Standard form of Quadratic Equation
l Solution of quadratic Equations by Factorization l Quadratic Formula l Relation between discriminant and nature of roots l Situational problems based on equations reducible to quadratic equations 
Arithmetic Progressions  l Nth term of AP
l Sum of first n terms to AP l Application to daily life problems involving sum to n terms 
Coordinate Geometry  l Coordinates
l Graphs of linear equations l Distance Formula l Section Formula (internal division) l Midpoint Formula l Area of Triangle

Triangles  l 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 l 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  l 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 rightangled 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 sin^{2}A + cos^{2}A = 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 reallife 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 CompetencyBased Questions that assess the application of concepts in reallife/ 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 casebased subparts. An examinee is to attempt any 4 out of 5 subparts.
Part – B:
 Question No 21 to 26 are Very short answer type questions of 2 mark each
 Question No 27 to 33 are Short Answer Type questions of 3 marks each
 Question No 34 to 36 are Long Answer Type questions of 5 marks each.
 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 subquestions.
Students need to attempt 4 of these subquestions. 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 Chapterwise important notes and Mind Map
CBSE Class 10 Maths Chapterwise 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 mindmap can be downloaded and printed for your reference.
 Chapter 1 Real Numbers Important Notes
 Chapter 2 Polynomials Important Notes
 Chapter 3 Pair of Linear Equations in Two Variables Important Notes
 Chapter 4 Quadratic Equations Important Notes
 Chapter 5 Arithmetic Progressions Important Notes
 Chapter 6 Triangles Important Notes
 Chapter 7 Coordinate Geometry Important Notes
 Chapter 8 Introduction to Trigonometry Important Notes
 Chapter 9 Applications of Trigonometry Important Notes
 Chapter 10 Circle Important Notes
 Chapter 11 Constructions Important Notes
 Chapter 12 Areas related to Circles Important Notes
 Chapter 13 Surface Areas and Volumes Important Notes
 Chapter 14 Statistics Important Notes
 Chapter 15 Probability Important Notes
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.
 Chapter 1 Real Numbers Sample Questions Worksheets
 Chapter 2 Polynomials Sample Questions Worksheets
 Chapter 3 Pair of Linear Equations in Two Variables Sample Questions Worksheets
 Chapter 4 Quadratic Equations Sample Questions Worksheets
 Chapter 5 Arithmetic Progressions Sample Questions Worksheets
 Chapter 6 Triangles Sample Questions Worksheets
 Chapter 7 Coordinate Geometry Sample Questions Worksheets
 Chapter 8 Introduction to Trigonometry Sample Questions Worksheets
 Chapter 9 Applications of Trigonometry Sample Questions Worksheets
 Chapter 10 Circle Sample Questions Worksheets
 Chapter 11 Constructions Sample Questions Worksheets
 Chapter 12 Areas related to Circles Sample Questions Worksheets
 Chapter 13 Surface Areas and Volumes Sample Questions Worksheets
 Chapter 14 Statistics Sample Questions Worksheets
 Chapter 15 Probability Sample Questions Worksheets
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.
 Chapter 1 Real Numbers Important Questions – HOTS
 Chapter 2 Polynomials Important Questions – HOTS
 Chapter 3 Pair of Linear Equations in Two Variables Important Questions – HOTS
 Chapter 4 Quadratic Equations Important Questions – HOTS
 Chapter 5 Arithmetic Progressions Important Questions – HOTS
 Chapter 6 Triangles Important Questions – HOTS
 Chapter 7 Coordinate Geometry Important Questions – HOTS
 Chapter 8 Introduction to Trigonometry Important Questions – HOTS
 Chapter 9 Applications of Trigonometry Important Questions – HOTS
 Chapter 10 Circle Important Questions – HOTS
 Chapter 11 Constructions Important Questions – HOTS
 Chapter 12 Areas related to Circles Important Questions – HOTS
 Chapter 13 Surface Areas and Volumes Important Questions – HOTS
 Chapter 14 Statistics Important Questions – HOTS
 Chapter 15 Probability Important Questions – HOTS
9) CBSE Class 10 Maths Chapter Wise Important Questions – MCQs
CBSE Class 10 Maths Chapterwise 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
 Chapter 1 Real Numbers Important Questions – MCQs
 Chapter 2 Polynomials Important Questions – MCQs
 Chapter 3 Pair of Linear Equations in Two Variables Important Questions – MCQs
 Chapter 4 Quadratic Equations Important Questions – MCQs
 Chapter 5 Arithmetic Progressions Important Questions – MCQs
 Chapter 6 Triangles Important Questions – MCQs
 Chapter 7 Coordinate Geometry Important Questions – MCQs
 Chapter 8 Introduction to Trigonometry Important Questions – MCQs
 Chapter 9 Applications of Trigonometry Important Questions – MCQs
 Chapter 10 Circle Important Questions – MCQs
 Chapter 11 Constructions Important Questions – MCQs
 Chapter 12 Areas related to Circles Important Questions – MCQs
 Chapter 13 Surface Areas and Volumes Important Questions – MCQs
 Chapter 14 Statistics Important Questions – MCQs
 Chapter 15 Probability Important Questions – MCQs
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.
 Chapter 1 Real Numbers Sample Test Papers
 Chapter 2 Polynomials Sample Test Papers
 Chapter 3 Pair of Linear Equations in Two Variables Sample Test Papers
 Chapter 4 Quadratic Equations Sample Test Papers
 Chapter 5 Arithmetic Progressions Sample Test Papers
 Chapter 6 Triangles Sample Test Papers
 Chapter 7 Coordinate Geometry Sample Test Papers
 Chapter 8 Introduction to Trigonometry Sample Test Papers
 Chapter 9 Applications of Trigonometry Sample Test Papers
 Chapter 10 Circle Sample Test Papers
 Chapter 11 Constructions Sample Test Papers
 Chapter 12 Areas related to Circles Sample Test Papers
 Chapter 13 Surface Areas and Volumes Sample Test Papers
 Chapter 14 Statistics Sample Test Papers
 Chapter 15 Probability Sample Test Papers
11) NCERT Class 10 Maths Solutions Chapter Wise
The Class 10 NCERT math Textbook is the most important resource for a 10thgrade 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.
 Chapter 1 Real Numbers NCERT Class 10 Maths Solutions
 Chapter 2 Polynomials NCERT Class 10 Maths Solutions
 Chapter 3 Pair of Linear Equations in Two Variables NCERT Class 10 Maths Solutions
 Chapter 4 Quadratic Equations NCERT Class 10 Maths Solutions
 Chapter 5 Arithmetic Progressions NCERT Class 10 Maths Solutions
 Chapter 6 Triangles NCERT Class 10 Maths Solutions
 Chapter 7 Coordinate Geometry NCERT Class 10 Maths Solutions
 Chapter 8 Introduction to Trigonometry NCERT Class 10 Maths Solutions
 Chapter 9 Applications of Trigonometry NCERT Class 10 Maths Solutions
 Chapter 10 Circle NCERT Class 10 Maths Solutions
 Chapter 11 Constructions NCERT Class 10 Maths Solutions
 Chapter 12 Areas related to Circles NCERT Class 10 Maths Solutions
 Chapter 13 Surface Areas and Volumes NCERT Class 10 Maths Solutions
 Chapter 14 Statistics NCERT Class 10 Maths Solutions
 Chapter 15 Probability NCERT Class 10 Maths Solutions
12) FAQS for Class 10 Maths
 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
 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.
 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 problemsolving for reallife applications.
 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.
 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 Higherorder 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.
 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. StandardLevel and Basiclevel Question papers shall be based on the same syllabus. However, StandardLevel Mathematics assesses higher Mathematical abilities compared to BasicLevel. 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
STANDARD PAPER  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 
 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.
 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 CompetencyBased Questions, it will be important to solve more question related to reallife applications. Chapters such as Linear Equations, Quadratic Equations, Trigonometry, and Surface Areas and Volumes are the main chapters from where many reallife situational problems are asked.
You may join the CBSE Maths 100 course for a clear cut path towards securing 100%.