case study questions class 9 maths cbse chapter wise

Case Study Questions for Class 9 Maths

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Are you preparing for your Class 9 Maths board exams and looking for an effective study resource? Well, you’re in luck! In this article, we will provide you with a collection of Case Study Questions for Class 9 Maths specifically designed to help you excel in your exams. These questions are carefully curated to cover various mathematical concepts and problem-solving techniques. So, let’s dive in and explore these valuable resources that will enhance your preparation and boost your confidence.

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CBSE Class 9 Maths Board Exam will have a set of questions based on case studies in the form of MCQs. The CBSE Class 9 Mathematics Question Bank on Case Studies, provided in this article, can be very helpful to understand the new format of questions. Share this link with your friends.

If you want to want to prepare all the tough, tricky & difficult questions for your upcoming exams, this is where you should hang out.  CBSE Case Study Questions for Class 9  will provide you with detailed, latest, comprehensive & confidence-inspiring solutions to the maximum number of Case Study Questions covering all the topics from your  NCERT Text Books !

Table of Contents

CBSE Class 9th – MATHS: Chapterwise Case Study Question & Solution

Case study questions are a form of examination where students are presented with real-life scenarios that require the application of mathematical concepts to arrive at a solution. These questions are designed to assess students’ problem-solving abilities, critical thinking skills, and understanding of mathematical concepts in practical contexts.

Chapterwise Case Study Questions for Class 9 Maths

Case study questions play a crucial role in the field of mathematics education. They provide students with an opportunity to apply theoretical knowledge to real-world situations, thereby enhancing their comprehension of mathematical concepts. By engaging with case study questions, students develop the ability to analyze complex problems, make connections between different mathematical concepts, and formulate effective problem-solving strategies.

• Case Study Questions for Chapter 1 Number System
• Case Study Questions for Chapter 2 Polynomials
• Case Study Questions for Chapter 3 Coordinate Geometry
• Case Study Questions for Chapter 4 Linear Equations in Two Variables
• Case Study Questions for Chapter 5 Introduction to Euclid’s Geometry
• Case Study Questions for Chapter 6 Lines and Angles
• Case Study Questions for Chapter 7 Triangles
• Case Study Questions for Chapter 8 Quadilaterals
• Case Study Questions for Chapter 9 Areas of Parallelograms and Triangles
• Case Study Questions for Chapter 10 Circles
• Case Study Questions for Chapter 11 Constructions
• Case Study Questions for Chapter 12 Heron’s Formula
• Case Study Questions for Chapter 13 Surface Area and Volumes
• Case Study Questions for Chapter 14 Statistics
• Case Study Questions for Chapter 15 Probability

The above  Case studies for Class 9 Mathematics will help you to boost your scores as Case Study questions have been coming in your examinations. These CBSE Class 9 Maths Case Studies have been developed by experienced teachers of schools.studyrate.in for benefit of Class 10 students.

• Class 9 Science Case Study Questions
• Class 9 Social Science Case Study Questions

How to Approach Case Study Questions

When tackling case study questions, it is essential to adopt a systematic approach. Here are some steps to help you approach and solve these types of questions effectively:

• Read the case study carefully: Understand the given scenario and identify the key information.
• Identify the mathematical concepts involved: Determine the relevant mathematical concepts and formulas applicable to the problem.
• Formulate a plan: Devise a plan or strategy to solve the problem based on the given information and mathematical concepts.
• Solve the problem step by step: Apply the chosen approach and perform calculations or manipulations to arrive at the solution.
• Verify and interpret the results: Ensure the solution aligns with the initial problem and interpret the findings in the context of the case study.

Tips for Solving Case Study Questions

Here are some valuable tips to help you effectively solve case study questions:

• Read the question thoroughly and underline or highlight important information.
• Break down the problem into smaller, manageable parts.
• Visualize the problem using diagrams or charts if applicable.
• Use appropriate mathematical formulas and concepts to solve the problem.
• Show all the steps of your calculations to ensure clarity.
• Check your final answer and review the solution for accuracy and relevance to the case study.

Benefits of Practicing Case Study Questions

Practicing case study questions offers several benefits that can significantly contribute to your mathematical proficiency:

• Enhances critical thinking skills
• Improves problem-solving abilities
• Deepens understanding of mathematical concepts
• Develops analytical reasoning
• Prepares you for real-life applications of mathematics
• Boosts confidence in approaching complex mathematical problems

Case study questions offer a unique opportunity to apply mathematical knowledge in practical scenarios. By practicing these questions, you can enhance your problem-solving abilities, develop a deeper understanding of mathematical concepts, and boost your confidence for the Class 9 Maths board exams. Remember to approach each question systematically, apply the relevant concepts, and review your solutions for accuracy. Access the PDF resource provided to access a wealth of case study questions and further elevate your preparation.

Q1: Can case study questions help me score better in my Class 9 Maths exams?

Yes, practicing case study questions can significantly improve your problem-solving skills and boost your performance in exams. These questions offer a practical approach to understanding mathematical concepts and their real-life applications.

Q2: Are the case study questions in the PDF resource relevant to the Class 9 Maths syllabus?

Absolutely! The PDF resource contains case study questions that align with the Class 9 Maths syllabus. They cover various topics and concepts included in the curriculum, ensuring comprehensive preparation.

Q3: Are the solutions provided for the case study questions in the PDF resource?

Yes, the PDF resource includes solutions for each case study question. You can refer to these solutions to validate your answers and gain a better understanding of the problem-solving process.

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myCBSEguide

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• CBSE Class 9 Mathematics...

CBSE Class 9 Mathematics Case Study Questions

Table of Contents

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Download the app to get CBSE Sample Papers 2023-24, NCERT Solutions (Revised), Most Important Questions, Previous Year Question Bank, Mock Tests, and Detailed Notes.

If you’re looking for a comprehensive and reliable study resource and case study questions for class 9 CBSE, myCBSEguide is the perfect door to enter. With over 10,000 study notes, solved sample papers and practice questions, it’s got everything you need to ace your exams. Plus, it’s updated regularly to keep you aligned with the latest CBSE syllabus . So why wait? Start your journey to success with myCBSEguide today!

Significance of Mathematics in Class 9

Mathematics is an important subject for students of all ages. It helps students to develop problem-solving and critical-thinking skills, and to think logically and creatively. In addition, mathematics is essential for understanding and using many other subjects, such as science, engineering, and finance.

CBSE Class 9 is an important year for students, as it is the foundation year for the Class 10 board exams. In Class 9, students learn many important concepts in mathematics that will help them to succeed in their board exams and in their future studies. Therefore, it is essential for students to understand and master the concepts taught in Class 9 Mathematics .

Case studies in Class 9 Mathematics

A case study in mathematics is a detailed analysis of a particular mathematical problem or situation. Case studies are often used to examine the relationship between theory and practice, and to explore the connections between different areas of mathematics. Often, a case study will focus on a single problem or situation and will use a variety of methods to examine it. These methods may include algebraic, geometric, and/or statistical analysis.

Example of Case study questions in Class 9 Mathematics

The Central Board of Secondary Education (CBSE) has included case study questions in the Class 9 Mathematics paper. This means that Class 9 Mathematics students will have to solve questions based on real-life scenarios. This is a departure from the usual theoretical questions that are asked in Class 9 Mathematics exams.

The following are some examples of case study questions from Class 9 Mathematics:

Class 9 Mathematics Case study question 1

There is a square park ABCD in the middle of Saket colony in Delhi. Four children Deepak, Ashok, Arjun and Deepa went to play with their balls. The colour of the ball of Ashok, Deepak,  Arjun and Deepa are red, blue, yellow and green respectively. All four children roll their ball from centre point O in the direction of   XOY, X’OY, X’OY’ and XOY’ . Their balls stopped as shown in the above image.

Answer the following questions:

Answer Key:

Class 9 Mathematics Case study question 2

• Now he told Raju to draw another line CD as in the figure
• The teacher told Ajay to mark  ∠ AOD  as 2z
• Suraj was told to mark  ∠ AOC as 4y
• Clive Made and angle  ∠ COE = 60°
• Peter marked  ∠ BOE and  ∠ BOD as y and x respectively

Now answer the following questions:

• 2y + z = 90°
• 2y + z = 180°
• 4y + 2z = 120°
• (a) 2y + z = 90°

Class 9 Mathematics Case study question 3

• (a) 31.6 m²
• (c) 513.3 m³
• (b) 422.4 m²

Class 9 Mathematics Case study question 4

How to Answer Class 9 Mathematics Case study questions

To crack case study questions, Class 9 Mathematics students need to apply their mathematical knowledge to real-life situations. They should first read the question carefully and identify the key information. They should then identify the relevant mathematical concepts that can be applied to solve the question. Once they have done this, they can start solving the Class 9 Mathematics case study question.

Students need to be careful while solving the Class 9 Mathematics case study questions. They should not make any assumptions and should always check their answers. If they are stuck on a question, they should take a break and come back to it later. With some practice, the Class 9 Mathematics students will be able to crack case study questions with ease.

Class 9 Mathematics Curriculum at Glance

At the secondary level, the curriculum focuses on improving students’ ability to use Mathematics to solve real-world problems and to study the subject as a separate discipline. Students are expected to learn how to solve issues using algebraic approaches and how to apply their understanding of simple trigonometry to height and distance problems. Experimenting with numbers and geometric forms, making hypotheses, and validating them with more observations are all part of Math learning at this level.

The suggested curriculum covers number systems, algebra, geometry, trigonometry, mensuration, statistics, graphing, and coordinate geometry, among other topics. Math should be taught through activities that include the use of concrete materials, models, patterns, charts, photographs, posters, and other visual aids.

CBSE Class 9 Mathematics (Code No. 041)

Class 9 Mathematics question paper design

The CBSE Class 9 mathematics question paper design is intended to measure students’ grasp of the subject’s fundamental ideas. The paper will put their problem-solving and analytical skills to the test. Class 9 mathematics students are advised to go through the question paper pattern thoroughly before they start preparing for their examinations. This will help them understand the paper better and enable them to score maximum marks. Refer to the given Class 9 Mathematics question paper design.

QUESTION PAPER DESIGN (CLASS 9 MATHEMATICS)

Mycbseguide: blessing in disguise.

Class 9 is an important milestone in a student’s life. It is the last year of high school and the last chance to score well in the CBSE board exams. myCBSEguide is the perfect platform for students to get started on their preparations for Class 9 Mathematics. myCBSEguide provides comprehensive study material for all subjects, including practice questions, sample papers, case study questions and mock tests. It also offers tips and tricks on how to score well in exams. myCBSEguide is the perfect door to enter for class 9 CBSE preparations.

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14 thoughts on “CBSE Class 9 Mathematics Case Study Questions”

This method is not easy for me

aarti and rashika are two classmates. due to exams approaching in some days both decided to study together. during revision hour both find difficulties and they solved each other’s problems. aarti explains simplification of 2+ ?2 by rationalising the denominator and rashika explains 4+ ?2 simplification of (v10-?5)(v10+ ?5) by using the identity (a – b)(a+b). based on above information, answer the following questions: 1) what is the rationalising factor of the denominator of 2+ ?2 a) 2-?2 b) 2?2 c) 2+ ?2 by rationalising the denominator of aarti got the answer d) a) 4+3?2 b) 3+?2 c) 3-?2 4+ ?2 2+ ?2 d) 2-?3 the identity applied to solve (?10-?5) (v10+ ?5) is a) (a+b)(a – b) = (a – b)² c) (a – b)(a+b) = a² – b² d) (a-b)(a+b)=2(a² + b²) ii) b) (a+b)(a – b) = (a + b

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CBSE Case Study Questions for Class 9 Maths - Pdf PDF Download

Cbse case study questions for class  9 maths.

CBSE Case Study Questions for Class 9 Maths are a type of assessment where students are given a real-world scenario or situation and they need to apply mathematical concepts to solve the problem. These types of questions help students to develop their problem-solving skills and apply their knowledge of mathematics to real-life situations.

Chapter Wise Case Based Questions for Class 9 Maths

The CBSE Class 9 Case Based Questions can be accessed from Chapetrwise Links provided below:

Chapter-wise case-based questions for Class 9 Maths are a set of questions based on specific chapters or topics covered in the maths textbook. These questions are designed to help students apply their understanding of mathematical concepts to real-world situations and events.

Chapter 1: Number System

• Case Based Questions: Number System

Chapter 2: Polynomial

• Case Based Questions: Polynomial

Chapter 3: Coordinate Geometry

• Case Based Questions: Coordinate Geometry

Chapter 4: Linear Equations

• Case Based Questions: Linear Equations - 1
• Case Based Questions: Linear Equations -2

Chapter 5: Introduction to Euclid’s Geometry

• Case Based Questions: Lines and Angles

Chapter 7: Triangles

• Case Based Questions: Triangles

Chapter 8: Quadrilaterals

• Case Based Questions: Quadrilaterals - 1
• Case Based Questions: Quadrilaterals - 2

Chapter 9: Areas of Parallelograms

• Case Based Questions: Circles

Chapter 11: Constructions

• Case Based Questions: Constructions

Chapter 12: Heron’s Formula

• Case Based Questions: Heron’s Formula

Chapter 13: Surface Areas and Volumes

• Case Based Questions: Surface Areas and Volumes

Chapter 14: Statistics

• Case Based Questions: Statistics

Chapter 15: Probability

• Case Based Questions: Probability

Weightage of Case Based Questions in Class 9 Maths

Why are Case Study Questions important in Maths Class  9?

• Enhance critical thinking:  Case study questions require students to analyze a real-life scenario and think critically to identify the problem and come up with possible solutions. This enhances their critical thinking and problem-solving skills.
• Apply theoretical concepts:  Case study questions allow students to apply theoretical concepts that they have learned in the classroom to real-life situations. This helps them to understand the practical application of the concepts and reinforces their learning.
• Develop decision-making skills:  Case study questions challenge students to make decisions based on the information provided in the scenario. This helps them to develop their decision-making skills and learn how to make informed decisions.
• Improve communication skills:  Case study questions often require students to present their findings and recommendations in written or oral form. This helps them to improve their communication skills and learn how to present their ideas effectively.
• Enhance teamwork skills:  Case study questions can also be done in groups, which helps students to develop teamwork skills and learn how to work collaboratively to solve problems.

In summary, case study questions are important in Class 9 because they enhance critical thinking, apply theoretical concepts, develop decision-making skills, improve communication skills, and enhance teamwork skills. They provide a practical and engaging way for students to learn and apply their knowledge and skills to real-life situations.

Class 9 Maths Curriculum at Glance

The Class 9 Maths curriculum in India covers a wide range of topics and concepts. Here is a brief overview of the Maths curriculum at a glance:

• Number Systems:  Students learn about the real number system, irrational numbers, rational numbers, decimal representation of rational numbers, and their properties.
• Algebra:  The Algebra section includes topics such as polynomials, linear equations in two variables, quadratic equations, and their solutions.
• Coordinate Geometry:  Students learn about the coordinate plane, distance formula, section formula, and slope of a line.
• Geometry:  This section includes topics such as Euclid’s geometry, lines and angles, triangles, and circles.
• Trigonometry: Students learn about trigonometric ratios, trigonometric identities, and their applications.
• Mensuration: This section includes topics such as area, volume, surface area, and their applications.
• Statistics and Probability:  Students learn about measures of central tendency, graphical representation of data, and probability.

The Class 9 Maths curriculum is designed to provide a strong foundation in mathematics and prepare students for higher education in the field. The curriculum is structured to develop critical thinking, problem-solving, and analytical skills, and to promote the application of mathematical concepts in real-life situations. The curriculum is also designed to help students prepare for competitive exams and develop a strong mathematical base for future academic and professional pursuits.

Students can also access Case Based Questions of all subjects of CBSE Class 9

• Case Based Questions for Class 9 Science
• Case Based Questions for Class 9 Social Science
• Case Based Questions for Class 9 English
• Case Based Questions for Class 9 Hindi
• Case Based Questions for Class 9 Sanskrit

Frequently Asked Questions (FAQs) on Case Based Questions for Class 9 Maths

What is case-based questions.

Case-Based Questions (CBQs) are open-ended problem solving tasks that require students to draw upon their knowledge of Maths concepts and processes to solve a novel problem. CBQs are often used as formative or summative assessments, as they can provide insights into how students reason through and apply mathematical principles in real-world problems.

What are case-based questions in Maths?

Case-based questions in Maths are problem-solving tasks that require students to apply their mathematical knowledge and skills to real-world situations or scenarios.

What are some common types of case-based questions in class 9 Maths?

Common types of case-based questions in class 9 Maths include word problems, real-world scenarios, and mathematical modeling tasks.

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CBSE Case Study Questions for Class 9 Maths - Pdf Free PDF Download

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• Important Questions for CBSE Class 9 Maths (2024-25)

CBSE Class 9 Maths Chapter wise Important Questions - Free PDF Download

Students studying in 9th standard need quality preparation for their upcoming examinations. Mathematics is such a subject that needs practice from the very beginning. Mostly, students are terrified of this particular subject and have no clear concept of mathematical chapters. Ultimately they end up scoring poor marks which drops their aggregate during finals. Students can follow Important Questions for Class 9 Maths by Vedantu to improve their mathematical knowledge and also to get good marks in exams. The PDF provided here highlights the Important Questions of Class 9 Maths . The downloadable PDF is designed according to the CBSE syllabus of 9th grade . It will help students to improve their mathematical skills and helps them to move a step forward to understand the subject. By practising Class 9 Maths Important Questions , students will build their confidence and clear their exams with flying colours.

You can also Download NCERT Solutions for Class 9 Maths to help you to revise the complete Syllabus and score more marks in your examinations. Vedantu provides students with a Free PDF download option for all the NCERT Solution of updated CBSE textbooks . Subjects like Science, Maths, Engish will become easy to study if you have access to NCERT Class 9 Science , Maths solutions, and solutions of other subjects that are available on Vedantu only.

Chapter wise Important Questions for CBSE Class 9 Maths

CBSE Class 9 Maths Chapter wise Important Questions (2024-25)

Importance of cbse class 9 maths book.

Books of CBSE board ensure that students don’t miss out on any topic and have complete coverage of the syllabus. The solutions provided in this book can be taken as a reference to understand how answers are written in an exam. These books contain formatted answers as suggested by CBSE board and allow students to study the answers and recreate it in the exam in similar language and get good marks.

CBSE Class 9 Maths Important Questions

If the students are looking for specific and detailed solutions of 9 th Class Maths Important Questions, then they are in the right place. Maths solutions include all the questions offered as per new revised syllabus of 9 th grade. The Chapters Of Class 9th Maths include-

Students can get different types of questions related to the chapters. As the chapters proceed, Important Questions For Class 9 Maths get tougher. Students can find questions from various chapters like-

Question from Linear Equations:

Q) The cost of a notebook is twice the cost of a pen. Illustrate linear equations in two variables to signify the statement. Consider two variables as “x” and “y”.

Question from Surface area and Volumes :

Q) If the base radius and height of a cone is 3.5cm and 12cm, then how much ice-cream can be put into the cone?

There are many more questions related to other vital chapters. From the above-mentioned questions, students can get a precise idea about Important Questions for Class 9 Maths .

Questions of Maths for Class 9 with Answers

As the above segment includes the detailed idea of probable Important Questions for Class 9 Maths chapter-wise, now students can follow Maths Questions for Class 9 With Answers .

Given Below is a Question and Solution from the Chapter of Statistics:

Q) The mean of 20 observations is 17. If observation 40 is changed to 12, what will be the value of the new mean?

Ans. Since 17 is the mean of 20 observations

        Sum of 20 observations= 17×20= 340

        New sum of 20 observations= 340-40+12

        New mean= 312/20= 15.6

Interested students can follow images related to important questions for class 9 maths with solutions:

Students can download the PDF, follow Vedantu’s official website or can download the app to get access to online classes arranged by expert subject teachers. To solve important questions of Maths Class 9 , students can go for RD Sharma and RS Agarwal or books from Arihant Publications referred by NCERT which are available on the app and the official website of Vedantu as well.

Class 9 Maths Study Materials

Other cbse class 9 important related links.

Important Questions for CBSE Class 9 Science

FAQs on Important Questions for CBSE Class 9 Maths (2024-25)

Q1. How Many Chapters are Covered in Class 9th Maths Important Questions?

Ans:  Overall, 15 chapters are covered in Important Questions for Class 9 Maths. They imply a thorough study of how the chapters agree with the overall subject matter as prescribed in the course.

Q2. Which is the Most Challenging Chapter in Class 9 Maths?

Ans:  The difficulty of a chapter varies from student to student and their overall understanding of a chapter. Some students find Geometry difficult, whereas some find Surface Area and Volume, Constructions and Statistics difficult. Generally, students find Geometry as the most difficult topic. Also, under the Geometry section, students consider Triangles as the most difficult part of 9 th grade Maths.

Q3. How Do Students Need to Practise Maths in Class 9?

Ans:  If the subject is Maths, then practice is the key for scoring superb marks in the exam. If students practice different types of mathematical problems, solve CBSE sample papers in one sitting within a set time limit, then it would be highly useful for the students to get through different competitive exams. Students must also give importance to high weightage chapters.

Q4. Which chapter is the most difficult for students in Class 9 Maths?

Ans: Class 9 Maths includes 11 chapters. Students find Geometry as a difficult chapter in Class 9 Maths. Students have to practice important questions and NCERT questions for all chapters to score high marks in Class 9 Maths. As one proceeds to different chapters, one will start getting difficult questions. Students can refer to the NCERT solutions for Class 9 Maths on Vedantu for free that can help students to understand all concepts easily. These solutions are available at free of cost on Vedantu(vedantu.com) and mobile app.

Q5. Is Class 9 Maths tough?

Ans: Class 9 Maths is not difficult if students practise it regularly. Students should understand the basic concepts given in so that they can also understand the concepts of Class 10 maths later. Students need to work hard to get good marks in Class 9 maths. They can also download the NCERT Solutions for all chapters to understand the basic concepts of math and for scoring full marks.

Q6. Which is the most important chapter in Maths Class 9 NCERT?

Ans: All chapters of Class 9 Maths NCERT are important because students of Class 9 will get similar chapters in Class 10th. They have to also understand all concepts of Class 9 maths for higher classes such as 11th and 12th. Important questions for Class 9 Maths are available online on Vedantu that can help students to understand all concepts and practise questions based on all chapters easily and quickly.

Q7. How can I practise Math in Class 9?

Ans: Students of Class 9 can practise maths from the NCERT Solutions and important questions available on Vedantu. Students should practise all questions given at the back of each exercise in the NCERT book. Students can also practise extra questions given on Vedantu that can help students to understand the concepts and score high marks in Class 9 Maths. All questions are solved and concepts are explained properly by expert Maths teachers.

Q8. How could I learn Class 9 Maths in an efficient and fast way?

Ans: Students can learn Class 9 Maths by practising all questions given in the NCERT book of class 9. They should revise and practice all questions regularly to understand the concepts. Students can also learn class 9 maths by doing extra and important questions available online. Students can download important questions for Class 9 Maths from Vedantu. They can solve important questions to practise Class 9 Maths and get high marks in exams.

Important Questions for CBSE Class 9

Cbse class 9 study materials, home tuitions in india.

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CBSE Class 9 Maths Most Important Case Study Based Questions With Solution

Cbse class 9 mathematics case study questions.

In this post I have provided CBSE Class 9 Maths Case Study Based Questions With Solution. These questions are very important for those students who are preparing for their final class 9 maths exam.

All these questions provided in this article are with solution which will help students for solving the problems. Dear students need to practice all these questions carefully with the help of given solutions.

As you know CBSE Class 9 Maths exam will have a set of cased study based questions in the form of MCQs. CBSE Class 9 Maths Question Bank given in this article can be very helpful in understanding the new format of questions for new session.

All Of You Can Also Read

Case studies in class 9 mathematics.

The Central Board of Secondary Education (CBSE) has included case study based questions in the Class 9 Mathematics paper in current session. According to new pattern CBSE Class 9 Mathematics students will have to solve case based questions. This is a departure from the usual theoretical conceptual questions that are asked in Class 9 Maths exam in this year.

Each question provided in this post has five sub-questions, each followed by four options and one correct answer. All CBSE Class 9th Maths Students can easily download these questions in PDF form with the help of given download Links and refer for exam preparation.

There is many more free study materials are available at Maths And Physics With Pandey Sir website. For many more books and free study material all of you can visit at this website.

Given Below Are CBSE Class 9th Maths Case Based Questions With Their Respective Download Links.

• CBSE Maths Important Questions
• Class 9 Maths

CBSE Important Questions for Class 9 Maths

CBSE Class 9 Maths Important Questions will help you score well in the class examinations and prepare for the upcoming board examinations. We have focused on preparing you for the CBSE Class 9 exam based on the latest syllabus. This article will brush up your mathematical skills and move you a step forward towards understanding the subject.

These CBSE Important Questions for Class 9 Maths give an idea about the questions that are likely to be asked in the board exams. Getting familiar with these will also help you face the exams more confidently. Along with CBSE Important Questions and solutions, each chapter is provided with additional questions for practice such that they act as the Maths Question Bank for Class 9 . Hence, the important questions of CBSE Class 9 Maths will help the students to score good marks in the board exams.

Also, access:

• Sample Papers for CBSE Class 9 Maths
• Class 9 Maths MCQs
• NCERT Solutions for Class 9 Maths

Chapter-wise CBSE Important Questions for Class 9 Maths are as follows:

Learn and practise more CBSE Class 9 Important Questions on different topics to excel in Maths and score maximum marks in the examination. Also, download BYJU’S – The Learning App, to get practice tests.

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CBSE Case Study Questions for Class 9 Maths Surface Areas and Volumes Free PDF

Mere Bacchon, you must practice the CBSE Case Study Questions Class 9 Maths Surface Areas and Volumes  in order to fully complete your preparation . They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!

I have made sure the questions (along with the solutions) prepare you fully for the upcoming exams. To download the latest CBSE Case Study Questions , just click ‘ Download PDF ’.

CBSE Case Study Questions for Class 9 Maths Surface Areas and Volumes PDF

Checkout our case study questions for other chapters.

• Chapter 11 Constructions Case Study Questions
• Chapter 12 Heron’s Formula Case Study Questions
• Chapter 14 Statistics Case Study Questions
• Chapter 15 Probability Case Study Questions

How should I study for my upcoming exams?

First, learn to sit for at least 2 hours at a stretch

Solve every question of NCERT by hand, without looking at the solution.

Solve NCERT Exemplar (if available)

Sit through chapter wise FULLY INVIGILATED TESTS

Practice MCQ Questions (Very Important)

Practice Assertion Reason & Case Study Based Questions

Sit through FULLY INVIGILATED TESTS involving MCQs. Assertion reason & Case Study Based Questions

After Completing everything mentioned above, Sit for atleast 6 full syllabus TESTS.

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CBSE Case Study Questions Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles PDF Download

CBSE Case Study Questions Class 9 Maths Chapter 9  are very important to solve for your exam. Class 9 Maths Chapter 9 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving  case study-based   questions for Class 9 Maths Chapter 9  Areas of Parallelograms and Triangles

Case Study Questions Class 9 Maths Chapter 9

Case Study 1. A group of students is learning about the areas of parallelograms and triangles. They came across the following scenario:

Rahul and Sana participated in a gardening project where they needed to create rectangular plots in their backyard. They made the following observations:

• Rahul’s rectangular plot has a length of 10 meters and a height of 5 meters.
• Sana’s rectangular plot has a length of 12 meters and a height of 6 meters.
• Both plots have the same base and height.

Based on this information, the students were asked to analyze the areas of the parallelograms formed by the rectangular plots. Let’s see if you can answer the questions correctly:

Q1. The area of Rahul’s parallelogram is: (a) 25 square meters (b) 50 square meters (c) 60 square meters (d) 120 square meters

Answer: (b) 50 square meters

Q2. The area of Sana’s parallelogram is: (a) 25 square meters (b) 50 square meters (c) 60 square meters (d) 120 square meters

Answer: (c) 60 square meters

Q3. The type of parallelogram formed by Rahul’s plot is: (a) Rectangle (b) Square (c) Rhombus (d) None of the above

Answer: (a) Rectangle

Q4. The type of parallelogram formed by Sana’s plot is: (a) Rectangle (b) Square (c) Rhombus (d) None of the above

Answer: (c) Rhombus

Q5. The area of the triangle formed by the diagonal of Rahul’s plot is: (a) 25 square meters (b) 30 square meters (c) 50 square meters (d) It cannot be determined

Answer: (a) 25 square meters

Case Study 2. A group of students is exploring the concept of the area of parallelograms and triangles. They encountered the following scenario:

Riya and Ravi went on a school trip to a park. They noticed a triangular garden in the shape of an equilateral triangle. They made the following observations:

• Each side of the triangular garden measures 8 meters.
• The height of the triangular garden is 6 meters.
• The garden is divided into two equal parts by a diagonal.

Based on this information, the students were asked to analyze the areas of the parallelograms and triangles formed by the garden. Let’s see if you can answer the questions correctly:

MCQ Questions:

Q1. The area of the triangular garden is: (a) 12 square meters (b) 24 square meters (c) 32 square meters (d) 48 square meters

Answer: (b) 24 square meters

Q2. The area of each triangular part formed by the diagonal is: (a) 12 square meters (b) 16 square meters (c) 24 square meters (d) 48 square meters

Answer: (c) 24 square meters

Q3. The type of parallelogram formed by the triangular garden is: (a) Rectangle (b) Square (c) Rhombus (d) None of the above

Q4. The length of the diagonal of the parallelogram formed by the triangular garden is: (a) 8 meters (b) 12 meters (c) 16 meters (d) 24 meters

Answer: (b) 12 meters

Q5. The area of the parallelogram formed by the triangular garden is: (a) 24 square meters (b) 32 square meters (c) 48 square meters (d) 64 square meters

Answer: (c) 48 square meters

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CBSE Class 9 Mathematics Marks Wise Question with Solution PDF

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CBSE Class 9 Mathematics Marks Wise Question with Answers is an extremely useful revision tool. It is very beneficial for students who are aiming to make the most out of their exam preparation. Board exams examine the educational skills of the student. Practising CBSE Class 9 Mathematics Marks Wise Question is a must. You can download here Mathematics Marks Wise Question with solutions at free of cost.

CBSE Class 9 Mathematics Marks Wise Question

CBSE is one of the most preferred educational board in India. This renowned board was established in the year 1952. CBSE Board is known for its comprehensive syllabus and the quality of education and well-structured question paper. The board aims to give a good education to its students so that they can grow both mentally and physically.

CBSE Board conducts the exam for Class 9. The exams for Class 9 are usually conducted in the month of March every year and the results are announced in the month of May. The questions that are asked in the CBSE board examination are according to the pattern issued by the NCERT. Students who are preparing for their CBSE examination must know the benefits of solving the CBSE Class 9 Mathematics Marks Wise Question. The questions are designed by SelfStudys experts according to the CCE guidelines.

CBSE Mathematics Marks Wise Question for Class 9

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CBSE Class 9 Mathematics Marks Wise Question PDF

Class 9 is considered to be the most important part for students aspiring to clear the NEET exam. In CBSE Class 9, several important chapters are presented to the students which are crucial to forming the basic skills required for a medical & engineer career.

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CBSE Class 9 Mathematics Marks Wise Question with Solutions

To help the students to prepare for examination more effectively, we provide CBSE Mathematics Marks Wise Question for Class 9 are given here. It is suggested to check these Mathematics Marks Wise Question to be able to tackle any question in the examinations.

It is suggested to practice this CBSE Class 9 Mathematics Marks Wise Question thoroughly before the exams. Apart from these Mathematics Marks Wise Question, students are also suggested to check the below-given links for sample and question papers and prepare more efficiently for the examinations.

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CBSE Class 9 Mathematics Marks Wise Question with Answers

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These CBSE Class 9 Mathematics Marks Wise Question for exams are framed by our best teachers. They also give solutions to these questions that explain the concepts in a short yet easy to understand manner. 

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Important Questions For CBSE Class 9 Maths

Chapter-wise important questions for CBSE class 9 maths with solutions are available on this page. All these questions are prepared by our expert teachers and easily downloadable for free in PDF format. Students are advised to learn these questions to score good marks in the exam.

Chapter-wise Important Questions For CBSE Class 9 Maths

• Chapter 1 – Number Systems
• Chapter 2 – Polynomials
• Chapter 3 – Coordinate Geometry
• Chapter 4 – Linear Equations In Two Variables
• Chapter 5 – Introduction To Euclid’s Geometry
• Chapter 6 – Line And Angles
• Chapter 7 – Triangles
• Chapter 8 – Quadrilaterals
• Chapter 9 – Areas of Parallelograms And Triangles
• Chapter 10 – Circles
• Chapter 11 – Constructions
• Chapter 12 – Heron’s Formula
• Chapter 13 – Surface Areas And Volumes
• Chapter 14 – Statistics
• Chapter 15 – Probability

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CBSE Class 9 Maths -Study Notes Chapter Wise

CBSE Class 9  Science CBSE Class 9 Social Science CBSE Class 9 Maths

CBSE Class 9  Maths Study Materials All Chapters

• Number System
• Polynomials
• Linear Equations
• Introduction to Euclid’s geometry
• Lines and angles
• Quadrilaterals
• Areas of parallelograms and triangles
• Construction
• Heron’s formula
• Surface areas and volumes
• Probability

Course Overview

CBSE Class 9 Maths Syllabus

Best Reference Books for CBSE Class 9 Maths besides NCERT Textbooks:

Maths is one of the most important subjects and also considered as one of the most difficult subjects of CBSE Class 9. But besides NCERT Books there some excellent reference books which can make this subject a cake walk for you.

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Case Study Questions for Class 9 Maths Chapter 9 Quadrilaterals

• Last modified on: 2 years ago
• Reading Time: 3 Minutes

Case Study Questions

Question 1:

After summervacation, Manit’s class teacher organised a small MCQ quiz, based on the properties of quadrilaterals. During quiz, she asks different questions to students. Some of the questions are listed below.

(i) Which of the following is/are the condition(s) for ABCD to be a quadrilateral? (a) The four points A, B, C and D must be distinct and co-planar. (b) No three of points A, B, C and D are collinear. (c) Line segments i.e., AB, BC, CD, DA intersect at their end points only. (d) All of these

(ii) Which of the following is wrong condition for a quadrilateral said to be a parallelogram? (a) Opposite sides are equal (b) Opposite angles are equal (c) Diagonal can’t bisect each other (d) None of these

(iii) If AX and CY are the bisectors of the angles A and C of a parallelogram ABCD, then

(a) AX || CY (b) AX || CD (c) AX || AB (d) None of these

(iv) ABCD and AEFG are two parallelograms. If ∠C = 63°, then determine ∠G.

(a) 63° (b) 117° (c) 90° (d) 120°

(v) If angles of a quadrilateral are in ratio 3 : 5 : 5 : 7, then find all the angles. (a) 54°, 80°, 80°, 146° (b) 34°, 100°, 100°, 126° (c) 54°, 90°, 90°, 126° (d) None of these

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3 thoughts on “ Case Study Questions for Class 9 Maths Chapter 9 Quadrilaterals ”

Thank you so much 🥰

Aare bhai question ke sath uska solution bhi to do yaar 🤔🤔. By the way questions was help full

Bat to shai he exam me Rahi questions pucha tha

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CBSE Class 9 Maths Syllabus 2024-2025: Download New Syllabus in PDF Here

Cbse class 9 maths syllabus 2024-25: check and download the cbse class 9 mathematics syllabus for the new academic session 2024-2025. go through the syllabus to know the latest course structure and examination pattern for cbse class 9 maths..

CBSE Class 9 Maths Syllabus 2024-2025: The Central Board of Secondary Education (CBSE) has released the syllabus for all Class 9 subjects. In this article, we have provided the detailed syllabus of CBSE Class 9 Maths subject to facilitate students' preparation for the new academic session 2024-2025. This updated syllabus serves as a complete guide for the course structure, prescribed content and the criteria of assessment for Mathematics in class 9.

• Curriculum Familiarization: It helps students become familiar with the subjects, topics, and chapters to be covered throughout the year.
• Goal Setting: Knowledge of the syllabus allows students to set academic goals and plan their studies effectively to achieve them.
• Time Management: Knowledge of prescribed weightage and amount of content allows students to allocate time to cover each topic systematically.
• Assessment Preparation: The syllabus provides students with an idea of the expected questions and topics for the examinations, allowing them to tailor their studies accordingly.
• Academic Performance: Being aware of the syllabus helps students track their progress and identify areas where they need improvement, leading to better academic performance.

Therefore, students must be familiar with the latest CBSE syllabus to excel and perform well in the CBSE Class 9 Mathematics exam in the upcoming academic year.

CBSE Class 9 Mathematics Syllabus 2024-2025

Cbse class 9 maths course content.

UNIT 1: NUMBER SYSTEMS

1. Real Numbers

1. Review of representation of natural numbers, integers, and rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers.

2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as √2, √3 and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, viz. every point on the number line represents a unique real number.

3. Definition of nth root of a real number.

4. Rationalization (with precise meaning) of real numbers of the type 1/(a+b√x) and 1/( √ x + √y) (and their combinations) where x and y are natural number and a and b are integers.

5. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing learner to arrive at the general laws.)

UNIT 2: ALGEBRA

1.  Polynomials

Definition of a polynomial in one variable, with examples and counter examples. Coefficients of a polynomial, terms of a polynomial and zero polynomial. Degree of a polynomial. Constant, linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Factors and multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of ax2 + bx + c, a ≠ 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem. Recall of algebraic expressions and identities. Verification of identities:

and their use in factorization of polynomials.

2. Linear Equations In Two Variables

Recall of linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax + by + c=0. Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line.

UNIT 3: COORDINATE GEOMETRY COORDINATE GEOMETRY

The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.

UNIT 4: GEOMETRY

1. Introduction To Euclid'S Geometry

History - Geometry in India and Euclid's geometry. Euclid's method of formalizing observed phenomenon into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Showing the relationship between axiom and theorem, for example: (Axiom)

1. Given two distinct points, there exists one and only one line through them. (Theorem)

2. (Prove) Two distinct lines cannot have more than one point in common.

2. Lines And Angles 

1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180O and the converse.

2. (Prove) If two lines intersect, vertically opposite angles are equal.

3. (Motivate) Lines which are parallel to a given line are parallel.

3. Triangles 

1. (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence).

2. (Prove) Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence).

3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).

4. (Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. (RHS Congruence)

5. (Prove) The angles opposite to equal sides of a triangle are equal.

6. (Motivate) The sides opposite to equal angles of a triangle are equal.

4. Quadrilaterals

1. (Prove) The diagonal divides a parallelogram into two congruent triangles.

2. (Motivate) In a parallelogram opposite sides are equal, and conversely.

3. (Motivate) In a parallelogram opposite angles are equal, and conversely.

4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal.

5. (Motivate) In a parallelogram, the diagonals bisect each other and conversely.

6. (Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and in half of it and (motivate) its converse.

1. (Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.

2. (Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord.

3. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely.

4. (Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.

5. (Motivate) Angles in the same segment of a circle are equal.

6. (Motivate) If a line segment joining two points subtends equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle.

7. (Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180° and its converse.

UNIT 5: MENSURATION 

Area of a triangle using Heron's formula (without proof)

2. Surface Areas And Volumes

Surface areas and volumes of spheres (including hemispheres) and right circular cones.

UNIT 6: STATISTICS & PROBABILITY

Internal Assessment - 20 Marks

Prescribed textbooks for cbse class 9 maths.

• Mathematics - Textbook for class IX - NCERT Publication  
• Guidelines for Mathematics Laboratory in Schools, class IX - CBSE Publication
• Laboratory Manual - Mathematics, secondary stage - NCERT Publication
• Mathematics exemplar problems for class IX, NCERT publication.

NCERT Book for Class 9 M aths (REVISED)

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CBSE Class 12 Maths Study Material

Learn cbse class xii maths with our easy-to-follow ncert-based study material. we've covered everything a student needs to learn in maths, equipping you with the core concepts to top your exams. we'll guide you through the essential concepts in a clear, engaging, and easy-to-understand way, so you can understand every chapter of class 12 maths and unlock your potential in this field to score 95+ marks in your class 12th board exam..

R D Sharma Solutions

Discover a smoother learning journey through our effortless roadmap

Chapter 1: Relations and Functions

What are Relations?

Types of Functions

Composition of Functions

Invertible Functions

Chapter 2: Inverse Trigonometric Functions

Inverse Trigonometric Functions

Graphs of Inverse Trigonometric Functions - Trigonometry | Class 12 Maths

Properties of Inverse Trigonometric Functions

Inverse Trigonometric Identities

Chapter 3: Matrices

19 articles

Order of Matrix

Types of Matrices

Column Matrix

Rectangular Matrix

Square Matrix

Zero Matrix

Diagonal Matrix

Scalar Matrix

Identity Matrix

Triangular Matrix

How to solve Equality of Matrices?

Matrix Operations

Matrix Addition

Transpose of a Matrix

Symmetric and Skew Symmetric Matrices

Invertible Matrix

Inverse of a Matrix by Elementary Operations - Matrices | Class 12 Maths

Chapter 4: Determinants

Determinant of a Matrix with Solved Examples

Properties of Determinants

Area of a Triangle using Determinants

Minors and Cofactors

Adjoint of a Matrix

Inverse of a Matrix

Applications of Matrices and Determinants

System of Linear Equations

Chapter 5: Continuity and Differentiability

15 articles

Continuity of Functions

Algebra of Continuous Functions - Continuity and Differentiability | Class 12 Maths

Derivatives of Composite Functions

Chain Rule Derivative - Theorem, Proof, Examples

Quotient Rule | Formula, Proof and Examples

Derivatives of Implicit Functions - Continuity and Differentiability | Class 12 Maths

Implicit Differentiation

Implicit differentiation - Advanced Examples

Derivatives of Inverse Functions

Derivatives of Inverse Trigonometric Functions | Class 12 Maths

Exponential Functions| Definition, Formula, Examples

Logarithmic Differentiation - Continuity and Differentiability

Derivative of Functions in Parametric Forms

Second Order Derivatives in Continuity and Differentiability | Class 12 Maths

Higher Order Derivatives

Chapter 6: Application of Derivatives

Derivatives as Rate of Change

Increasing and Decreasing Functions

Increasing and Decreasing Intervals

Maxima and Minima in Calculus

Relative Minima and Maxima

Absolute Minima and Maxima

Concave Function

Inflection Point

Chapter 7: Integrals

Differentiation and Integration Formula

Methods of Integration

Integration by Substitution

Integration by U-substitution

Trigonometric Substitution

Partial Fraction Expansion

Integration of Trigonometric Functions

Integration by Partial Fractions

Integration by Parts

Definite Integral

Computing Definite Integrals

Fundamental Theorem of Calculus

Evaluating Definite Integrals

Properties of Definite Integrals

Definite Integrals of Piecewise Functions

Chapter 8: Application of Integrals

Area under Simple Curves

Chapter 9: Differential Equations

Differential Equations

Order and Degree of Differential Equations

Particular Solutions to Differential Equations

First Order Differential Equation: Type, Solution and Examples

Homogeneous Differential Equations

Separable Differential Equations

Linear Differential Equations

Exact Equations and Integrating Factors

Chapter 10: Vector Algebra

Vector Algebra

Zero Vector

Unit Vector

Triangle Law of Vector Addition

Parallelogram Law of Vector Addition

Commutative Property - Definition | Commutative Law and Examples

Associative Property

Additive Identity Property Definition and Examples

Additive Inverse

Section Formula - Vector Algebra

Dot and Cross Products on Vectors

How to calculate Dot Product of Two Vectors?

Cross Product of two Vectors

Chapter 11: Three Dimensional Geometry

Direction Cosines and Direction Ratios

Equation of a Line in 3D

Angles Between two Lines in 3D Space

Shortest Distance Between Two Lines in 3D Space | Class 12 Maths

Distance between two parallel lines

Chapter 12: Linear Programming

Linear Programming

Graphical Solution of Linear Programming Problems

Chapter 13: Probability

Conditional Probability and Independence - Probability | Class 12 Maths

Multiplication Theorem

Dependent and Independent Events

Bayes' Theorem

Mathematics - Law of Total Probability

Class 12th Maths Paper Set

CBSE Class 12 Previous Year Question Papers

Class 12th Maths R D Sharma Solution

RD Sharma Class 12 Solutions for Maths

This CBSE Class 12 Maths Study Material is made by expert teachers to help you learn Theory and Applications. Our Class 12 Maths study material provides a comprehensive journey through all the essential chapters you'll encounter in your exams. We'll start by building a strong foundation in relations and functions, including their different types, compositions, and inverses. In addition, this study material by GeeksforGeeks also provides detailed solutions to previous year's questions, so students can learn how to answer them correctly. This helps students to understand the concepts behind the questions and to improve their problem-solving skills.

What do we offer?

GeeksforGeeks has designed this study material for class 12 students to make learning Maths an interactive and enjoyable experience. Our expert teachers provide clear and concise explanations of the concepts to keep you motivated and focused. We've also incorporated practice problems and quizzes to help you apply your knowledge to score 95+ Marks in your class 12 Maths board exam.

Key Highlights of this Study Material:

• Clear & Engaging Explanations: Break down complex concepts with easy-to-understand language and step-by-step breakdowns.
• Self-Paced: Learn at your own pace with visual aids, diagrams, and animations that bring concepts to life.
• Practice questions: Here we provide selected practice questions to test your skills and make sure you're ready for the exam.
• Highlights All formulas: Important Maths formulas are covered throughout the lessons, equipping you with the necessary formulas to score 95+ marks in your class 12 Maths exam with confidence.
• Solved Previous Year Questions: Gain an edge with previous year's questions integrated throughout the material. Analyze past exam trends and question styles to score well in the CBSE Class 12 Maths board exam.

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Your Class 12 content is exceptional! It's clear, comprehensive, and immensely helpful. The engaging presentation and practical examples make learning enjoyable.

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Q1. How to get 95 percent in Maths class 12?

Learn from the past. Gain insights into the exam pattern and question types by solving previous years' question papers. Additionally, familiarise yourself with the Sample Question Papers 23-24 released by CBSE to grasp the expected pattern comprehensively.

Q2. Is CBSE 12th maths tough?

Not really, Class 12 maths is considered to be easier than Class 11 maths.CBSE 12th Maths Difficulty is moderate for prepared students. Practice and mock tests are key to success.

Q3. How many chapters are present in Class 12 Maths?

Class 12 Mathematics textbook comprises a total of 13 chapters. All the chapters are significant from the board examination perspective.

Q4. What are the Crucial Chapters in the Mathematics Syllabus for Class 12?

The latest syllabus for class 12 Mathematics 2024-25 covers some crucial chapters and that is: Relations and Functions Algebra Calculus Vectors and Three-Dimensional Geometry Linear Programming Probability

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