class 9 maths case study questions and answers pdf

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CBSE Class 9th Maths 2023 : 30 Most Important Case Study Questions with Answers; Download PDF

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CBSE Class 9 Maths exam 2022-23 will have a set of questions based on case studies in the form of MCQs. CBSE Class 9 Maths Question Bank on Case Studies given in this article can be very helpful in understanding the new format of questions.

Each question has five sub-questions, each followed by four options and one correct answer. Students can easily download these questions in PDF format and refer to them for exam preparation.

CBSE Class 9 All Students can also Download here Class 9 Other Study Materials in PDF Format.

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CBSE Class 9th Exam 2024-25 : Skill Subject Sample Papers and Marking Scheme Released; Download PDF

CBSE has released the 2024-25 Class 9th skill subject sample papers and marking schemes. These resources help students understand the exam pattern, improve time management, and boost confidence. Download the PDFs from the CBSE official website to enhance your preparation. Practice consistently with these sample papers to excel in your exams and gain practical knowledge in key skill subjects.

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CBSE Class 9 Mathematics Case Study Questions

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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)

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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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16 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

MATHS PAAGAL HAI

All questions was easy but search ? hard questions. These questions was not comparable with cbse. It was totally wastage of time.

Where is search ? bar

maths is love

Can I have more questions without downloading the app.

I love math

Hello l am Devanshu chahal and l am an entorpinior. I am started my card bord business and remanded all the existing things this all possible by math now my business is 120 crore and my business profit is 25 crore in a month. l find the worker team because my business is going well Thanks

I am Riddhi Shrivastava… These questions was very good.. That’s it.. ..

For challenging Mathematics Case Study Questions, seeking a writing elite service can significantly aid your research. These services provide expert guidance, ensuring your case study is well-researched, accurately analyzed, and professionally written. With their assistance, you can tackle complex mathematical problems with confidence, leading to high-quality academic work that meets rigorous standards.

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Class 9th Maths - Coordinate Geometry Case Study Questions and Answers 2022 - 2023

By QB365 on 08 Sep, 2022

QB365 provides a detailed and simple solution for every Possible Case Study Questions in Class 9th Maths Subject - Coordinate Geometry, CBSE. It will help Students to get more practice questions, Students can Practice these question papers in addition to score best marks.

QB365 - Question Bank Software

Coordinate geometry case study questions with answer key.

9th Standard CBSE

Final Semester - June 2015

Mathematics

(b) What are the coordinates of C and D respectively?

(c) What is the distance between B and D?

(d) What is the distance between A and C?

(e) What are the coordinates of the point of intersection of AC and BD?

(ii) What are the coordinates of Police Station?

(iii) Distance between school and police station:

(iv) What are the coordinates of Library?

(v) In which quadrant the point (-1, 4) lies?  

(b) What are the coordinates of A and B respectively?

(c) The coordinates of point O in the sketch -2 is

(d) The point on the y-axis ( in sketch 2) which is equidistant from the points B and C is 

(e) The point on the x-axis ( in sketch 2) which is equidistant from the points C and D is

(b) What are the coordinates of R, taking A as origin?

(c) Side of lawn is :

(d) Shape of lawn is :

(e) Area of lawn is :

(ii) What are the coordinates of position 'D'?

(iii) What are the coordinates of position 'H'?

(iv) In which quadrant, the point 'C' lie?

(v) Find the perpendicular distance of the point E from the y-axis.

*****************************************

Coordinate geometry case study questions with answer key answer keys.

(a) (iii) A(3, 5); B(7, 9) (b) (i) C(11, 5); D(7, 1) (c) (iii) 8 units (d) (iii) 8 units (e) (i) (7, 5)

(i) (b) (2, 3) (ii) (a) (2, -1) (iii) (a) 4 (iv) (d) (6, 2) (v) (b) II

(a) (ii) A(13, 10); B(19, 10) (b) (iv) A(19, 6); B(13, 6) (c) (ii) (16, 8) (d) (i) (0, 8) (e)  (ii) (16, 0)

(a) (iv) C(10, 6) (b) (iii) R(5, 6) (c) (ii)   \(\sqrt{34}\)  units PS 2 = AS 2 + AP 2 = 5 2 + 3 2 = 25 + 9 = 34 ⇒ PS =  \(\sqrt{34}\) (d) (iv) Rhombus (e) (i) 30 sq. units Area of rhombus =  \(1 / 2\)  x product of diagonals =  \(1 / 2\)  x 6 x 10  = 30 sq. units

(i) (d) (-4, 3)  (ii) (b) (-3, -2) (iii) (b) (8, 4.5) (iv) (d) IV (v) (b) 10 units

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CBSE Class 9 Maths 30 Most Important Case Study Questions with Answers

Cbse class 9 maths 30 most important case study questions with answers download here free in pdf format..

CBSE Class 9 Maths exam 2023 will have a set of questions based on case studies in the form of MCQs. CBSE Class 9 Maths Question Bank on Case Studies given in this webpage can be very helpful in understanding the new format of questions.

Each question has five sub-questions, each followed by four options and one correct answer. Candidates can easily download these questions in PDF format and refer to them for exam preparation 2023.

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

• Class 9 Important Question

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

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Case Study Questions for Class 9 Maths Chapter 1 Real Numbers

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

Case Study Questions:

Question 1:

Himanshu has made a project on real numbers, where he finely explained the applicability of exponential laws and divisibility conditions on real numbers. He also included some assessment questions at the end of his project as listed below. Answer them.

(i) For what value of n, 4 n  ends in 0?

(a) 10 (b) when n is even (c) when n is odd (d) no value of n

(ii) If a is a positive rational number and n is a positive integer greater than 1, then for what value of n, a is a rational number?

(a) when n is any even integer (b) when n is any odd integer (c) for all n > 1 (d) only when n=0

(iii) If x and y are two odd positive integers, then which of the following is true?

(a) x 2 +y 2  is even (b) x 2 +y 2  is not divisible by 4 (c) x 2 +y 2  is odd (d) both (a) and (b)

(iv) The statement ‘One of every three consecutive positive integers is divisible by 3’ is

(a) always true (b) always false (c) sometimes true (d) None of these

(v) If n is any odd integer, then n 2  – 1 is divisible by

(a) 22 (b) 55 (c) 88 (d) 8

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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

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• Introduction to Euclid’s Geometry Class 9 Case Study Questions Maths Chapter 5

Last Updated on August 26, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 9 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 9 maths. In this article, you will find case study questions for CBSE Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry. It is a part of Case Study Questions for CBSE Class 9 Maths Series.

Table of Contents

Case Study Questions on Introduction to Euclid’s Geometry

A National Public School organised an education trip to a museum. Almost all the students of class IX went to the trip with their teacher of Mathematics. They saw many pictures of mathematicians and read about their contributions in the field of Mathematics. After visiting the museum, teacher asked the following questions from the students.

On the basis of the above information, solve the following questions:

Q 1. Pythagoras was a student of: a. Euclid b. Thales c. Archimedes d. Both a. and b.

Ans. (b) Pythagoras was a student of Thales. So, option (b) is correct.

Q 2. Name of the mathematician who is visible in the last picture, is: a. Euclid b. Pythagoras c. Thales d. None of these

Ans. (a) Euclid mathematician is visible in the last picture. So, option (a) is correct.

Q 3. Euclid stated that ‘A circle can be drawn with any centre and any radius’, is a/an: a. definition b. postulate c. axiom d. proof

Ans. (b) Euclid stated that ‘A circle can be drawn with any centre and any radius’ is postulate. So, option (b) is correct.

Q 4. In which country Thales belong to? a. Greece b. Egypt c. Babylonia d. Rome

Ans. (a) Thales belongs to Greece Country. So, option (a) is correct.

Q 5. Which of the following needs a proof? a. Definition b. Theorem c. Axiom d. Postulate

Ans. (b) Theorem needs a proof. So, option (b) is correct.

Understanding Euclid’s Geometry

Euclid’s Definitions

• A point is that which has no part.
• A line is breadthless length.
• The ends of a line are points.
• A straight line is a line which lies evenly with the points on itself.
• A surface is that which has length and breadth only.
• The edges of a surface are lines.
• A plane surface is a surface which lies evenly with the straight lines on itself.

A sentence which can be judged to be true or false, e.g., The sum of the angles of a quadrilateral is 360°, is a true statement and a line segment has one end point, is a false statement.

The basic facts taken for granted without proof. e.g., A line has infinitely many points.

A mathematical statement whose truth has been established (proved)

Euclid’s Axioms

• Things which are equal to the same thing are equal to one another.
• If equals are added to equals, the wholes are equal.
• If equals are subtracted from equals, the remainders are equal.
• Things which coincide with one another, are equal to one another.
• The whole is greater than the part.
• Things which are double of the same things, are equal to one another.
• Things which are halves of the same things, are equal to one another.

Postulate: The assumptions which are specific to geometry, e.g., Two points make a line.

Euclid’s Postulates

Postulate 1: A straight line may be drawn from any one point to any other point. Postulate 2: A terminated line can be produced indefinitely. Postulate 3: A circle can be drawn with any centre and any radius. Postulate 4: All right angles are equal to one another. Postulate 5: (Parallel Postulate): If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.

• Quadrilaterals Class 9 Case Study Questions Maths Chapter 8
• Triangles Class 9 Case Study Questions Maths Chapter 7
• Lines and Angles Class 9 Case Study Questions Maths Chapter 6
• Linear Equations in Two Variables Class 9 Case Study Questions Maths Chapter 4
• Coordinate Geometry Class 9 Case Study Questions Maths Chapter 3

Polynomials Class 9 Case Study Questions Maths Chapter 2

Number systems class 9 case study questions maths chapter 1, topics from which case study questions may be asked.

• 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.

An axiom generally is true for any field in science, while a postulate can be specific on a particular field.

Case study questions from the above given topic may be asked.

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Frequently Asked Questions (FAQs) on Introduction to Euclid’s Geometry Case Study

Q1: what is euclid’s geometry.

A1: Euclid’s Geometry is a mathematical system attributed to the ancient Greek mathematician Euclid. It is based on a set of definitions, postulates (axioms), and propositions (theorems). This geometry primarily deals with the properties and relations of points, lines, surfaces, and solids in a two-dimensional and three-dimensional space.

Q2: Who was Euclid?

A2: Euclid was a Greek mathematician, often referred to as the “Father of Geometry.” He lived around 300 BCE in Alexandria, Egypt. His most famous work, Elements , is a collection of books that form the foundation of what is now known as Euclidean geometry.

Q3: What are Euclid’s Axioms?

A3: Euclid’s axioms are basic assumptions that are accepted as true without proof. These axioms form the foundation of Euclidean geometry. Some of the key axioms include: (i) A straight line segment can be drawn joining any two points. (ii) Any straight line segment can be extended indefinitely in a straight line. (iii) All right angles are equal to each other. (iv) A circle can be drawn with any center and any radius.

Q4: What is the difference between an axiom and a theorem in Euclid’s Geometry?

A4: An axiom is a statement accepted as true without proof, serving as a starting point for further reasoning and arguments. A theorem, on the other hand, is a statement that has been proven to be true based on axioms and previously established theorems.

Q5: How did Euclid contribute to the field of geometry?

A5: Euclid’s major contribution to geometry was the systematic organization of geometric knowledge into a logical and rigorous framework. His work, Elements , consists of 13 books that cover a wide range of topics, including plane geometry, number theory, and solid geometry. This work laid the foundation for the study of geometry for centuries.

Q6: Why is Euclid’s Geometry still important in modern mathematics?

A6: Euclid’s Geometry is important because it provides a clear and logical framework for understanding the properties of shapes and spaces. The principles laid out by Euclid are still used as the foundation for many areas of mathematics, including modern geometry, algebra, and calculus.

Q7: Are there any online resources or tools available for practicing Euclid’s Geometry case study questions?

A8: We provide case study questions for CBSE Class 9 Maths on our website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit Physics Gurukul website. they are having a large collection of case study questions for all classes.

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• CBSE Class 10

CBSE Class 10 Maths Competency-Based Questions With Answer Key 2024-25: Chapter 6 Triangles Free PDF Download

Cbse class 10 maths chapter 6 practice questions 2025: students check and download the cbse class 10 chapter 6 triangles competency-focused practice questions along with answer key for 2024-25. .

CBSE 2024-25 Competency Based Questions With Answers: The Central Board of Secondary Education (CBSE) has designed and released the competency‐focused practice questions for students of classes 10 and 12. Students can practice questions ranging from multiple choice questions to case studies. CBSE has made available the practice questions on its website, cbse.academic.nic.in. This article covers the CBSE Class 10 Maths Chapter 6 Triangles competency-focused questions. 

These assessments contain high quality questions and concepts that are important for learning. When students will solve the competency-based questions, they will engage in learning by doing. The questions are designed to test the understanding of students and remove any gaps that may exist in the learning process. Competency-based practice questions follow the principle of learning with understanding. 

CBSE Class 10 Maths Chapter 6 Competency Based-Questions 

Tips to Prepare for CBSE Class 10 Mathematics Examination

1. Students must first familiarize themselves with the syllabus so as to understand which topics carry more weightage. Ensure that you prepare according to the latest syllabus only. 

2. Mathematics is a subject that demands regular practice. It is important that students practice as much as they can. Practice the questions given at the end of each chapter. Note the points where you get stuck during solving questions. 

3. Students should prepare an effective study plan and give time to all topics on the basis of their strengths and weaknesses. Don’t let your bias towards your favourite chapter affect the time-table. The schedule should also have time for revision. 

4. Students should solve the problems from CBSE Class 10 subject textbook to clear the concepts and strengthen understanding. While solving problems, students should make it a habit to show rough work clearly which will help them in the examination as well. 

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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

Hope the information shed above regarding Case Study and Passage Based Questions for Case Study Questions Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles with Answers Pdf free download has been useful to an extent. If you have any other queries about Case Study Questions Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles and Passage-Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible.

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Class 9 Maths Case Study Questions of Chapter 13 Surface Areas and Volumes

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Case study Questions in Class 9 Mathematics Chapter 13  are very important to solve for your exam. Class 9 Maths Chapter 13 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 Case Study Questions  Chapter 13 Surface Areas and Volumes

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These case study questions challenge students to apply their knowledge of quadrilaterals in practical scenarios, enhancing their problem-solving abilities. This article provides the Class 9 Maths Case Study Questions of Chapter 13 Surface Areas and Volumes, enabling students to practice and excel in their examinations.

Surface Areas and Volumes Case Study Questions With Answers

Here, we have provided case-based/passage-based questions for Class 9 Maths Chapter 13 Surface Areas and Volumes

Case Study/Passage-Based Questions

Case Study 1: A class teacher brings some clay in the classroom to teach the topic of mensuration. First she forms a cylinder of radius 6 cm and height 8 cm and then she molds that cylinder into sphere.

Find the volume of the cylindrical shape. (a) 288 π cm 3 (b) 244 π cm 3 (c) 240 π cm 3 (d) 216 π cm 3

Answer: (a) 288 π cm3

When clay changes into one shape to other, which of the following remains same? (a) Area (b) C.S.A (c) Radius (d) Volume

Answer: (d) Volume

The radius of the sphere is (a) 2 cm (b) 4 cm (c) 5 cm (d) 6 cm

Answer: (d) 6 cm

Find the volume of sphere, the teacher made. (a) 288 π cm 3 (b) 184 π cm 3 (c) 240 π cm 3 (d) 216 π cm 3

Case Study 2: Ankita realised the need of food for birds on her terrace and decided to make a bird feeder. She got a flexible plastic rectangular sheet of size 44 cm × 15 cm. She rolled it along its length and joined the two opposite ends using a tape for circular base of cylinder. She found a square sheet of size 15 cm × 15 cm by cutting it into required circular shape she prepared the bird feeder as shown in figure.

The curved surface area of the cylinder formed is (a) 550 cm 2 (b) 660 cm 2 (c) 430 cm 2 (d) 840 cm 2

Answer: (b) 660 cm2

The radius of the base of the cylinder is (a) 5 cm (b) 6 cm (c) 7 cm (d) 8 cm

Answer: (c) 7 cm

The area of the circular base required for the cylinder is (a) 154 cm 2 (b) 164 cm 2 (c) 240 cm 2 (d) 184 cm 2

Answer: (a) 154 cm2

How much will be the area of square sheet left unused after removing the circular base of the cylinder from it? (a) 78 cm 2 (b) 62 cm 2 (c) 75 cm 2 (d) 71 cm 2

Answer: (d) 71 cm2

Topics Covered in the Case Studies of Chapter 13: Surface Areas and Volumes

The case studies in the Class 9 Maths Case Study Questions of Chapter 13: Surface Areas and Volumes cover the following topics:

• Surface Areas of Solids (Cuboid, Cylinder, Cone, and Sphere)
• Volumes of Solids (Cuboid, Cylinder, Cone, and Sphere)
• Conversion of Units
• Application of Surface Areas and Volumes in Real-Life Scenarios

Hope the information shed above regarding Case Study and Passage Based Questions for Class 9 Mathematics Chapter 13 Surface Areas and Volumes with Answers Pdf free download has been useful to an extent. If you have any other queries about CBSE Class 9 Maths Surface Areas and Volumes Case Study and Passage Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible By Team Study Rate

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