case study in maths for class 9th

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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 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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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 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 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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Class 9th Maths - Surface 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 - Surface, 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

Surface areas and volumes case study questions with answer key.

9th Standard CBSE

Final Semester - June 2015

Mathematics

(b) What is the curved surface area of hemispherical dome ?

(c) What is the height of the cubodial part ?

d) What is the circumference of the base of the dome ?

(v) The total surface area of a hemispherical dome having radius 7 cm is:

(ii) Write the formula to find the volume of one pillar (including hemispherical dome) :

(iii) The volume of the hemispherical dome at the centre if base radius is 7 m is :

(iv) What is the lateral surface area of all 4 pillars if height of the each pillar is 14 m and base radius is 1.4 m (without dome)?

(v) The cost of polishing all the four pillars if the cost of 1 m 2 is Rs. 270, will be :

Mathematics teacher of a school took his 10th standard students to show Taj Mahal. It was a part of their Educational trip. The teacher had interest in history as well. He narrated the facts of Taj Mahal to the students. Then the teacher said in this monument one can find combination of solid figures. There are 4 pillars which are cylindrical in shape. Also, 2 domes at the back side which are hemispherical. 1 big domes at the centre. It is the finest example of the symmetry. (Use π = 22/7) (i)How much cloth material will be required to cover 2 small domes each of radius  4.2 metres?

(ii) Write the formula to find the volume of a cylindrical pillar:

(iii) Find the lateral surface area of two pillars if height of the pillar is 7 m and radius of the base is 1.4 m.

(iv) How much is the volume of a hemisphere if the radius of the base is 3.5 m?

(v) What is the ratio of sum of volumes of two hemispheres of radius 1 cm each to the volume of a sphere of radius 2 cm?

(ii) If the area of windows and doors is 22 sq m.  The area of the walls to be painted

(iii) What is the area of the tiles to be used for flooring?

(iv) The total area of the room is (including windows and doors):

(v) What is the volume of the air in the room?

(b) The radius of the base of the cylinder is

(c) The area of the circular base required for the cylinder is

(d) How much will be the area of square sheet left unused after removing the circular base of the cylinder from it?

(e) Find the volume of water that can be filled in the cylinder.

(ii) What is the volume of cylindrical shape?

(iii) What is the formula of volume of sphere?

(iv) When clay changes into on shape to other which of the following remains same. 

(v) The radius of the sphere formed is :

(ii) What is formula for calculating the lateral surface area of the cylinder?

(iii) What is the volume of two cylinders?

(iv) If the cuboid needs to be painted red, how much area need to be painted?

(v)  If a cloth is needed to cover the cylindrical part, how much cloth is needed?

(ii) What is the formula for calculating the total surface area of the cylindrical container i.e., milk container?

(iii) If the cube shown in the picture is of dimension 6 cm each. Find the capacity of this cubic container.

(iv) Find the ratio between the volume and C.S.A. of the cylindrical container.

(v)  What is the formula for calculating the total surface area of the hemisphere?

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

Surface areas and volumes case study questions with answer key answer keys.

(a) (ii) 2(lb + bh + hl) (b) (ii) 968π m 2 Diameter = 44 m Radius = 22 m Curved surface area of hemispherical dome = 2πr 2 = 2π(22) 2  = 968π m 2 (c) (iii) 29 m Total height of monument =  51 m Radius of hemispherical dome part =  height of hemispherical dome = 22 m Height of the cuboid part = 51 m - 22 m = 29 m (d) (iii) 44π Circumference of the base of the dome = 2πr = 2π(22) = 44π (v) The total surface of a hemispherical dome having radius 7 cm is: (v) (a) 462 cm 2 TSA of hemispherical dome = 3πr 2 = 3 x  \(\begin{equation} \frac{22}{7} \end{equation}\)   x 7 x 7 = 462 cm 2

(i) (d) none of these C.SA of hemispheres = 2 x 2πr 2 = 4 x  \(\frac{22}{7}\)   x  \(\frac{42}{10}\)   x  \(\frac{42}{10}\)   =  \(\frac{88 \times 252}{100}\) =  221.76 m 2 (ii) (b) π r 2 (2/3 r + h ) Volume of pillar = volume of cylinder + volume of hemisphere = πr 2  +  \(\frac{2}{3}\) πr 3  =  πr 2 \(\left(h+\frac{2}{3} r\right)\) (iii) (c) 718.66 m 3 Volume of the hemispherical dome =  \(\frac{2}{3}\) πr 3 =  \(\frac{2}{3}\)  x  \(\frac{22}{7}\)   x 7 x 7 x7 = 718. 66 m 3 (iv) (b) 591.36 m 2  Lateral surface are of 4 pillars = 4 x 2πrh = 4 x 2 x  \(\frac{22}{7}\)  x 14 x 14 = 591.36 m 2 (v) (a) Rs. 1,59,667.20 The cost of polishing all the four pillars = 591.36 x 270 = 159,667.20

(i) (b) 78.57 m 2 Radius of a dome, r = 2.5 cm The dome is hemispherical in shape. Then, cloth material required = 2 x Surface area of hemisphere = 2 x 2πr 2 = 4 x  \(\frac{22}{7}\)   x 2.5 x 2.5 = 78.57 m 2 (ii) (a)  πr 2 h (iii) (b) 123.2m 2 Height of each pillar, h = 7 m Radius of base, r = 1.4 m Lateral surface area or curved surface area of 2 pillars = 2 x  2πrh = 4 x  \(\frac{22}{7}\)   x 1.4 x 7 = 123.2 m 2 (iv) (d) 89.83 m 3 Radius of hemisphere, r = 3.5 m Then, volume of a hemisphere, V =  \(\frac{2}{3}\) πr 3 =  \(\frac{2}{3} \times \frac{22}{7}\)   x (3.5) 3 = 89.83 m 3 (v) (b) 1:8 Volume of 2 hemispheres of radius 1 cm = 2 x  \(\frac{2}{3}\) πr 3  =  \(\frac{4}{3}\) π(1) 3  =  \(\frac{4}{3}\) π cm 3 Volume of 1 shpere of radius 2cm =  \(\frac{4}{3}\) π(r 3 ) =  \(\frac{4}{3}\) π(2) 3  = \(\frac{32}{3}\) π cm 3 Then, required ratio =  \(\frac{\frac{4}{3} \pi}{\frac{32}{3} \pi}\)   =  \(\frac{1}{8}\)

(i) (a) 112 sq m Total area of four walls = 2 (l + b)h = 2 (8.6 + 5.4) x 4 = 112 sq m (ii) (c) 90 sq m Wall painted area = 112 sq m - 22 sq m  = 90 sq m (iii) (b) 46.44 sq m Area of tiles = 1 x b = 8.6 m x 5.4 m = 46.44 sq m. (iv) (d)  204.88 sq m Total area of room = 2(lb + bh + hl) = 2 (8.6 x 5.4 + 5.4 x 4 + 8.6) = 2 (46.44 + 21.6 + 34.4) = 204.88 sq m (v) (d) 204.88 sq m Volume of the air in the room = lbh = 8.6 x 5.4 x 4 = 185.76 cu.m

(a) (iv) 660 cm² The curved surface area of the cylider formed = area of the plastic rectangular sheet = (44 x 15) cm² =  660 cm² (b) (iii) 7 cm circumference of the base = length of the rectangular sheet = 44 cm ∴ 2πr = 44 ⇒ 2 x  \(\frac{22}{7}\) x r = 44 ⇒ r = 7. (c) (i) 154 cm² =   \(\left(\frac{22}{7} \times 7 \times 7\right)\) cm² = 154 cm² . (d) (ii) 71 cm²  Area of the square sheet = a 2  = (15 x 15) cm² = 225 cm². ∴ Area of square sheet left unused = Area of square - Area of the base of the cylinder = (225 - 154) cm² = 71 cm². (e) (iv) 2310 ml Volume of water that can be filled in the cylinder = Volume of the cylinder = πr 2 h \(\left(\frac{22}{7} \times 7 \times 7 \times 15\right)\)   cm 3 = 2310    cm 3 =  2310 ml. [∵ 1 ml = 1    cm 3 ]

(i) (c) rectangle (ii) (b) 288π cm 3 Volume of cylindrical shape = πr 2 h = π (6) 2  x 8 = 288 π cm 3 (iii) (d)  \(\frac{4}{3}\)   πr 3 (iv) (a) Volume (v) (c) 6 cm Volume of Sphere = Volume of cylindrical shape ⇒  \(\frac{4}{3}\) πR 3  = πr 2 h ⇒ R 3  =  \(\frac{3}{4}\)  (6) 2  x 8 ⇒ R 3  = 216 ⇒ R = 6 cm

(i) (c)  2.25 m 3 Here, l = 1.5 m, b = 3 m, h = 0.5 m volume of cuboid, lbh = 1.5 x 3 x 0.5 = 4.5 x 0.5 = 2.25 m 3 (ii) (b)  2πrh C.S.A. of cylinder = 2πrh (iii) (b)  1.134 m 3 Volume of two cylinders = 2 x πr 2 h = 2x3.14x \(\begin{equation} \left(\frac{0.6}{2}\right)^{2} \end{equation}\)   x2 = 3.14 x 0.6 x 0.6 = 1.1304 m 3 (iv) (b) 13 m 2 Area to be painted = T.S.A. of cuboid - 2 x base circular area = 2(lb + bh + hl) - 2πr 2 | = 2(1.5 x 3 + 3 x 0.5 + 0.5 x 1.5) - 2 x 3.14 x  \(\begin{equation} \left(\frac{0.6}{2}\right)^{2} \end{equation}\) = 2(4.5 + 1.5 + 0.75 - 3.14 x 0.3 x 0.6) = 2 x 6.75 - 0.57 = 12.93 ~ 13 (v) (d) 7.536 m 2 C.S.A. of cylinder = 2 x 2πrh  = 4 x 3.14 x  \(\left(\frac{0.6}{2}\right)\)   x 2 = 4 x 3.14 x 0.6 = 7.536 m 2

(i) (c)  942.477 m 3 Quantity of milk = Volume of cotainer = πr 2 h = π x (5) 2  x (12) = 942.477 m 3 (ii) (b)  2πr (r + h) (iii) (c) 216 Volume of cube = a 3  = 6 x 6 x 6 = 216 cm 3 (iv) (b)  \(\frac{5}{2}\) Ratio =  \(\frac{\text { Volume }}{\text { C.S.A. }}\) =  \(\frac{\pi r^{2} h}{2 \pi r h}\)  =  \(\frac{r}{2}\)  =  \(\frac{5}{2}\) (v) (c)  3πr 2 2πr 2  + πr 2  =  3πr 2

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CBSE Case Study Questions for Class 9 Maths Circles Free PDF

Mere Bacchon, you must practice the CBSE Case Study Questions Class 9 Maths Circles  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 Circles PDF

Checkout our case study questions for other chapters.

• Chapter 8 Quadrilaterals Case Study Questions
• Chapter 9 Areas of Parallelograms and Triangles Case Study Questions
• Chapter 11 Constructions Case Study Questions
• Chapter 12 Heron’s Formula Case Study Questions

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Case Study Questions for Class 9 Maths Chapter 12 Herons Formula

Case study questions for class 9 maths chapter 9 areas of parallelograms and triangles, case study questions for class 9 maths chapter 6 lines and angles, case study questions for class 9 maths chapter 7 triangles, case study questions for class 9 maths chapter 5 introduction to euclid’s geometry, case study and passage based questions for class 9 maths chapter 14 statistics, case study questions for class 9 maths chapter 1 real numbers, case study questions for class 9 maths chapter 4 linear equations in two variables, case study questions for class 9 maths chapter 3 coordinate geometry, case study questions for class 9 maths chapter 15 probability, case study questions for class 9 maths chapter 13 surface area and volume, case study questions for class 9 maths chapter 10 circles, case study questions for class 9 maths chapter 9 quadrilaterals, case study questions for class 9 maths chapter 2 polynomials.

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NCERT Class 9 Maths : Latest Syllabus based Study Material

Learn ncert class 9 maths with our easy-to-follow ncert-based study material. we've compiled everything a student needs to learn class 9 maths, equipping you with the core concepts to top your exams. we'll guide you through the essential concepts from all chapters in a clear, engaging, and easy-to-understand way, so you can learn all concepts of class 9 maths and unlock your potential in this field to score 95+ marks in all your exams..

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Chapter 1 - Number Systems

Number System in Maths

Irrational Numbers: Definition, Examples, Symbol, Properties

Real Numbers

Decimal Expansion of Real Numbers

Operations on Real Numbers

Laws of Exponents for Real Numbers

Chapter 2 - Polynomials

Polynomials in One Variable - Polynomials | Class 9 Maths

Zeros of Polynomial

Factorization of Polynomial

Remainder Theorem

Algebraic Identities of Polynomials

Chapter 3 - Coordinate Geometry

Coordinate Geometry

Cartesian Coordinate System

Chapter 4 - Linear Equations in Two Variables

Linear Equations

Chapter 5 - Introduction To Euclid's Geometry

Euclidean Geometry

Chapter 6 - Lines And Angles

Lines and Angles

Types of Lines

Intersecting Lines

Pairs of Angles - Lines & Angles

Parallel Lines

Chapter 7 - Triangles

Triangles in Geometry

Congruence of Triangles |SSS, SAS, ASA, and RHS Rules

Properties of Triangle

RHS Congruence Rule

Chapter 8: Quadrilaterals

Properties of Parallelograms

Mid Point Theorem

Chapter 9: Circles

Chords of a Circle

Angle subtended by an arc at the centre of a circle

What is Cyclic Quadrilateral

Chapter 10: Heron’s Formula

Heron's Formula

Chapter 11: Surface Areas and Volumes

Surface Area of Cone

Surface Area of Sphere: Formula, Derivation and Solved Examples

Volume of Cone: Formula, Derivation and Examples

Volume of a Sphere

Chapter 12: Statistics

Graphical Representation of Data

Bar Graph | Examples & How To Draw a Bar Graph

Histogram - Definition, Types, Graph, and Examples

Frequency Polygon | Meaning, Steps to Draw and Examples

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This NCERT Class 9 Maths Study Material is designed by expert teachers to help you learn the theory and Applications of Class 9 mathematics. Follow along with the interactive tutorials that demonstrate how to solve problems and apply mathematical concepts. In addition, GeeksforGeeks has also provided detailed answers to previous year's questions, so students can practice and learn how to answer them correctly. This helps students to understand the concepts behind the questions and to improve their problem-solving skills.

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Key Highlights of this Tutorial:

• Based on the Latest NCERT Board Class 8 Syllabus
• Highlights All formulas: Important Maths formulas are covered throughout the lessons, equipping you with the necessary formulas to score 95+ marks in your class 9 Maths exam with confidence.

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Q1. Which is the hardest chapter in maths class 9 NCERT?

Some students find Geometry difficult whereas others may find the Surface area and Volume, Constructions, or Statistics. But, in general, most students find Geometry as the most difficult topic.

Q2. Which chapter is most important for class 9 maths?

The highest-scoring chapter is Polynomials. To clear your exam with flying results, you must prepare this chapter well.

Q3. How do you get 100% maths class 9?

To score full marks in math, you need to clearly understand the concepts, practice regularly, focus on accuracy, manage your time effectively, use shortcuts and tricks, and seek help when needed.

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For the students of Class 9, the important benefit of using the NCERT Study Materials is for Class 9 exam preparation. This Study material focuses deeply on the fundamentals of every concept according to the latest NCERT syllabus and curriculum.

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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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