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CBSE Class 9 Mathematics Case Study Questions

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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)

INUMBER SYSTEMS10
IIALGEBRA20
IIICOORDINATE GEOMETRY04
IVGEOMETRY27
VMENSURATION13
VISTATISTICS & PROBABILITY06

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)

1.  Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers.
 Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas
4354
2. Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way.1924
3.
Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations

Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria.

Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions
1822
  80100

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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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

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Can I have more questions without downloading the app.

I love math

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

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

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.

Case Study Questions - 1
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Case Study Questions - 30

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

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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.

CBSE Class 9 Mathematics Case Study Questions

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.

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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.

Case-based Questions – 1
Case-based Questions – 2
Case-based Questions – 3
Case-based Questions – 4
Case-based Questions – 5
Case-based Questions – 6
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Case-based Questions – 30
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case study questions maths grade 9

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.

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Coordinate geometry case study questions with answer key.

9th Standard CBSE

Final Semester - June 2015

Mathematics

case study questions maths grade 9

(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?

case study questions maths grade 9

(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?  

case study questions maths grade 9

(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

case study questions maths grade 9

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

(c) Side of lawn is :

 units

(d) Shape of lawn is :

(e) Area of lawn is :

case study questions maths grade 9

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

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

Download CBSE and ICSE Books in PDF Format

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.

Introduction to Euclid’s Geometry
Case Study Questions
Competency Based Questions
CBSE
9
Maths
Class 9 Studying Students
Yes
Mentioned

Customised Study Materials for Teachers, Schools and Coaching Institute

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.

case study questions maths grade 9

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.

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

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CBSE Case Study Questions Class 9 Maths Chapter 6 Lines and Angles PDF Download

Case Study Questions Class 9 Maths Chapter 6  are very important to solve for your exam. Class 9 Maths Chapter 6 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 6  Lines and Angles

case study questions maths grade 9

CBSE Case Study Questions for Class 9 Maths Lines and Angles PDF

Case study questions class 9 maths chapter 6 lines and angles.

Case Study 1. A group of students is studying the concepts of lines and angles. They encountered the following scenario during their class:

A classroom has two parallel boards, Board A and Board B, on opposite walls. Two students, Rahul and Riya, are standing in the classroom, facing the boards. Rahul is standing between the two boards and looking at Board A, while Riya is standing near Board B and looking at Board A. They observed the following:

  • Rahul and Riya are facing each other.
  • Rahul’s left hand is pointing towards the ceiling.
  • Riya’s right hand is pointing towards the floor.

Based on this information, the students were asked to analyze the angles formed by the hands of Rahul and Riya. Let’s see if you can answer the questions correctly:

Q1. The angle formed between Rahul’s left hand and his line of sight is a: (a) Right angle (b) Obtuse angle (c) Acute angle (d) Straight angle

Answer: (a) Right angle

Q2. The angle formed between Riya’s right hand and her line of sight is a: (a) Right angle (b) Obtuse angle (c) Acute angle (d) Straight angle

Q3. The angle between the hands of Rahul and Riya is a: (a) Complementary angle (b) Supplementary angle (c) Vertical angle (d) Adjacent angle

Answer: (c) Vertical angle

Q4. The angle formed between Rahul’s left hand and Riya’s right hand is a: (a) Complementary angle (b) Supplementary angle (c) Vertical angle (d) Adjacent angle

Answer: (b) Supplementary angle

Q5. The sum of all the angles formed by the hands of Rahul and Riya is: (a) 180 degrees (b) 360 degrees (c) 90 degrees (d) 270 degrees

Answer: (b) 360 degrees

Case Study 2. A group of students is learning about the properties of angles and the concepts of lines. During their study session, they encountered the following scenario:

In their classroom, there is a wall with a vertical line drawn on it. The line is intersected by a horizontal line, forming four angles. The students observed the following:

  • The angle formed at the top-left corner is acute.
  • The angle formed at the top-right corner is obtuse.
  • The angle formed at the bottom-left corner is a right angle.
  • The angle formed at the bottom-right corner is a straight angle.

Based on this information, the students were asked to analyze the angles formed by the intersecting lines. Let’s see if you can answer the questions correctly

Q1. The acute angle formed at the top-left corner measures: (a) 90 degrees (b) Less than 90 degrees (c) More than 90 degrees (d) It cannot be determined

Answer: (b) Less than 90 degrees

Q2. The obtuse angle formed at the top-right corner measures: (a) 90 degrees (b) Less than 90 degrees (c) More than 90 degrees (d) It cannot be determined

Answer: (c) More than 90 degrees

Q3. The right angle formed at the bottom-left corner measures: (a) 90 degrees (b) Less than 90 degrees (c) More than 90 degrees (d) It cannot be determined

Answer: (a) 90 degrees

Q4. The straight angle formed at the bottom-right corner measures: (a) 90 degrees (b) Less than 90 degrees (c) More than 90 degrees (d) It cannot be determined

Answer: (d) It cannot be determined

Q5. The sum of all the angles formed by the intersecting lines is: (a) 90 degrees (b) 180 degrees (c) 270 degrees (d) 360 degrees

Answer: (b) 180 degrees

Hope the information shed above regarding Case Study and Passage Based Questions for Case Study Questions Class 9 Maths Chapter 6 Lines and Angles 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 6 Lines and Angles 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.

case study questions maths grade 9

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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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. .

Garima Jha

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 

Give an example each for when two rectangles are:
A painted cuboid, Solid P, is cut along a plane to get two identical solids. One of the identical solids, Solid Q, is shown below.
Shown below is an isosceles right-angled ΔPQR. The area of ΔPQR is 18 cm2.
Shown below is a figure. ΔPQR is a right-angled triangle. There are 3 semicircles with diameters as sides of ΔPQR. All length measurements are in cm.
Shown below is a figure with two rectangles. The ratio of UV:VW = QR:RS = 3:4. Area of TUVW is 36 cm2.
i) Two chords of a circle, PQ and MN intersect at a point T. Show that PT × TQ = MT × TN. Draw a figure.
In the figure below, P, Q and R are collinear. P and Q are centres of the two circles. P lies on the circumference of the circle with centre Q. R is 10 cm from Q and 15 cm from P. Both circles have 2 common tangents from point R. 
Tanmay had hit a numbered ball into pocket P. The path followed by the cue ball and ball 8 is shown below. The cue ball's initial distance from the edges of the table is marked in the figure.
Shown below is the path when Tanmay hits a ball number 1 in pocket S. The distance CT is 50 cm and TS is 120 cm. The cue ball hits the side PQ at an angle of 45°.

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. 

CBSE Video Courses for Class 10 Students 

Class 10 students can study effectively for the exams with the help of video courses prepared by the subject matter experts. These video courses will explain the concepts in a simple and interactive manner which will help learners to understand clearly. 

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Case Study Questions for Class 9 Maths Chapter 6 Lines and Angles

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Here we are providing case study questions for Class 9 Maths Chapter 6 Lines and Angles. Students are suggested to solve the questions by themselves first and then check the answers. This will help students to check their grasp on this particular chapter Triangles.

Case Study Questions:

Questions 1:

ΔABC is an isosceles triangle in which ∠B = ∠C and LM | | BC. If ∠A = 50º.

case study questions maths grade 9

(i) The quadrilateral LMCB is (A) Trapezium (B) Square (C) rectangle (D) rhombus

(ii) The value of ∠LMC is: (A) 65º (B) 115º (C) 130º (D) 100º

(iii) The value of ∠ALM is: (A) 130º (B) 80º (C) 65º (D) 100º

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  1. CBSE Class 9 Maths Case Study Questions PDF Download

    Download Class 9 Maths Case Study Questions for Class 9 Mathematics to prepare for the upcoming CBSE Class 9 Exams 2023-24. These Case Study and Passage Based questions are published by the experts of CBSE Experts for the students of CBSE Class 9 so that they can score 100% in Exams.

  2. CBSE Class 9 Mathematics Case Study Questions

    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.

  3. Case Study Questions for Class 9 Maths

    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 ...

  4. CBSE Class 9th Maths 2023 : 30 Most Important Case Study Questions with

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

  5. Class 9 Maths Case Study Questions of Chapter 2 Polynomials PDF

    These case study questions challenge students to apply their knowledge of polynomials in real-life scenarios, enhancing their problem-solving abilities. This article provides for the Class 9 Maths Case Study Questions of Chapter 2: Polynomials, enabling students to practice and excel in their examinations.

  6. CBSE Case Study Questions Class 9 Maths Chapter 2 Polynomials PDF

    Case Study Questions Class 9 Maths Chapter 2. Case Study/Passage-Based Questions. Case Study 1. Ankur and Ranjan start a new business together. The amount invested by both partners together is given by the polynomial p (x) = 4x 2 + 12x + 5, which is the product of their individual shares. Coefficient of x2 in the given polynomial is.

  7. CBSE Case Study Questions Class 9 Maths Chapter 5 Introduction to

    Case Study Questions Class 9 Maths Chapter 5 Case Study 1: In a mathematics class, students were learning about Euclid's Geometry and the properties of lines and angles. The teacher drew the following figure on the board: Using this figure, the teacher presented some statements and asked the students to determine whether they were true or false.

  8. Class 9 Maths Case Study Questions Chapter 4 Linear Equations in two

    Case study Questions in Class 9 Mathematics Chapter 4 are very important to solve for your exam. Class 9 Maths Chapter 4 Case Study Questions have been prepared for the latest exam pattern.

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

    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.

  10. Class 9th Maths

    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.

  11. CBSE Case Study Questions For Class 9 Maths Surface Areas And Volumes

    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!

  12. Case Study Questions for Class 9 Maths Chapter 4 Linear Equations in

    Case Study Questions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Case Study Questions Question 1: Anil went to buy some vegetables, he bought 'x' kgs. of tomato and 'y' kgs. of potato. The total cost of vegetables comes out to be of Rs. 200.

  13. CBSE Case Study Questions Class 9 Maths Chapter 12 Heron ...

    CBSE Case Study Questions Class 9 Maths Chapter 12 Heron's Formula PDF Download are very important to solve for your exam. Class 9 Maths Chapter 12 Case Study Questions have been prepared for the latest exam pattern.

  14. Class 9 Maths Case Study Questions Chapter 3 Coordinate Geometry

    Here, we have provided case-based/passage-based questions for Class 9 Maths Chapter 3 Coordinate Geometry. Case Study/Passage-Based Questions. Case Study 1: Alia and Shagun are friends living on the same street in Patel Nagar. Shogun's house is at the intersection of one street with another street on which there is a library.

  15. CBSE Class 9 Case Study Questions

    Maths Case-Study Qs. TopperLearning offers an online platform to access case studies for CBSE Class 9 students. Explore your analytical and problem-solving skills by solving case studies with our expert guidance. Get started today!

  16. Case Study Questions for Class 9 Maths Chapter 1 Real Numbers

    Case Study Questions for Class 9 Maths Chapter 1 Real Numbers 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.

  17. Number Systems Class 9 Case Study Questions Maths Chapter 1

    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.

  18. Category: Case Study Questions for Class 9 Maths

    Case Study Questions for Class 9 Maths Chapter 13 Surface Area and Volume. May 10, 2022 Physics Gurukul 1 Comment.

  19. Introduction to Euclid's Geometry Class 9 Case Study Questions Maths

    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.

  20. CBSE Case Study Questions Class 9 Maths Chapter 6 Lines ...

    Case Study Questions Class 9 Maths Chapter 6 Lines and Angles. Case Study 1. A group of students is studying the concepts of lines and angles. They encountered the following scenario during their class: A classroom has two parallel boards, Board A and Board B, on opposite walls. Two students, Rahul and Riya, are standing in the classroom ...

  21. Class 9 Maths Case Study Questions Chapter 14 Statistics

    Here, we have provided case-based/passage-based questions for Class 9 Maths Chapter 14 Statistics. Case Study/Passage-Based Questions. Case Study 1: The Class teacher of Class X prepares the result analysis of a student. She compares the marks of a student obtained in Class IX (2018-19) and Class X (2019-20) using the double bar graph as shown ...

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

    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 ...

  23. CBSE Class 10 Maths Competency-Based Questions With Answer Key 2024-25

    CBSE Class 10 Maths Competency-Based Questions With Answers 2024-25: CBSE Class 10 students download competency-focused practice questions and answers for Maths chapter 6 Triangles. Download free ...

  24. Case Study Questions for Class 9 Maths Chapter 9 Quadrilaterals

    Home » CBSE Class 9 Maths » Case Study Questions for Class 9 Maths » Case Study Questions for Class 9 Maths Chapter 9 Quadrilaterals 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.

  25. Case Study Questions for Class 9 Maths Chapter 6 Lines and Angles

    Here we are providing case study questions for Class 9 Maths Chapter 6 Lines and Angles. Students are suggested to solve the questions by themselves first and then check the answers.