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Case Study Questions Class 10 Maths with Solutions PDF Download

 case study questions class 10 maths pdf, case study questions class 10 maths with solutions, case study questions class 10 maths cbse chapter wise pdf download, how to solve case-based question in maths.

• First of all, a student needs to read the complete passage thoroughly. Then start solving the question
• After reading the question try to understand from which topics the question is asked. and try to remember all the concepts of that topic.
• Sometimes the question is very tricky and you will find it very difficult to understand. In that case, Read the question and passage again and again.
• After solving the answer check your answer with the options given.
• Remember, write only answering your answer book

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CBSE Class 10 Maths Case Study Questions for Chapter 14 - Statistics (Published By CBSE)

Case study question bank for cbse class 10 maths chapter 14 - statistics is available here. practice this new format of questions to score good marks in your board exam..

CBSE Class 10 Maths Case Study Questions for Chapter 14 - Statistics are published by the CBSE board itself. These questions are perfect to acquaint with the new format of the questions and make your board exam preparations. Questions are based on the real life situations. You can easily understand how concepts and logic are used in the case study questions. All the questions are provided with answers.  

Check Case Study Questions for Class 10 Maths Chapter 14 - Statistics

CASE STUDY 1:

COVID-19 Pandemic The COVID-19 pandemic, also known as coronavirus pandemic, is an ongoing pandemic of coronavirus disease caused by the transmission of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) among humans.

The following tables shows the age distribution of case admitted during a day in two different hospitals

Refer to table 1

1. The average age for which maximum cases occurred is

Answer: c) 36.82

2. The upper limit of modal class is

Answer: d) 45

3. The mean of the given data is

Answer: d) 35.4

Refer to table 2

4. The mode of the given data is

Answer: a) 41.4

5. The median of the given data is

Answer: b) 40.2

Electricity Energy Consumption

CASE STUDY 2:

Electricity energy consumption is the form of energy consumption that uses electric energy. Global electricity consumption continues to increase faster than world population, leading to an increase in the average amount of electricity consumed per person (per capita electricity consumption).

Refer to data received from Colony A

1. The median weekly consumption is

a) 12 units

b) 16 units

c) 20 units

d) None of these

Answer: c) 20 units

2. The mean weekly consumption is

a) 19.64 units

b) 22.5 units

c) 26 units

Answer: a) 19.64 units

3. The modal class of the above data is I

Answer: c) 20-30

Refer to data received from Colony B

4. The modal weekly consumption is

a) 38.2 units

b) 43.6 units

d) 32 units

Answer: b) 43.6 units

5. The mean weekly consumption is

a) 15.65 units

b) 32.8 units

c) 38.75 units

d) 48 units

Answer: c) 38.75 units

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CBSE Case Study Questions for Class 10 Maths - All Chapters

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CBSE Class 10 Science Case Study Questions Download Free PDF

If you are looking for the CBSE Class 10 Science Case Study Questions in PDF, then you are in the right place. CBSE 10th Class Case Study for the Science Subject is available here. These Case studies can help the students to solve the different types of questions that are based on the case study.

CBSE Board will be asking case study questions based on Science subjects in the upcoming board exams. Thus, it becomes an essential resource to study. 

The Science Subject case study for class 10th covers a wide range of chapters from the Science. Students willing to score good marks in their board exams can use it. The questions are highly interactive and it allows students to use their thoughts and skills to solve such kinds of questions.

Case Study Questions Class 10 Science

In board exams, students will find the questions based on assertion and reasoning . Also, there will be a few questions based on case studies. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

• Case Study Questions for Chapter 1 Chemical Reactions and Equations
• Case Study Questions for Chapter 2 Acids, Bases, and Salts
• Case Study Questions for Chapter 3 Metals and Non-Metals
• Case Study Questions for Chapter 4 Carbon and Its Compounds
• Case Study Questions for Chapter 5 Periodic Classification of elements
• Case Study Questions for Chapter 6 Life Processes
• Case Study Questions for Chapter 7 Control and Coordination
• Case Study Questions for Chapter 8 How do organisms reproduce?
• Case Study Questions for Chapter 9 Heredity and Evolution
• Case Study Questions for Chapter 10 Light reflection and refraction
• Case Study Questions for Chapter 11 Human eye and colorful world
• Case Study Questions for Chapter 12 Electricity
• Case Study Questions for Chapter 13 Magnetic effects of current
• Case Study Questions for Chapter 15 Our Environment

The above  Case studies  for CBSE Class 10 Science will help you to score good marks in the Case Study questions that have been coming in your examinations. These CBSE Class 10 Science Case Study have been developed by experts of cbseexperts.com   for benefit of Class 10 students.

Class 10 Science Assertion and Reason Questions

Case Study Type Questions in Science Class 10

Case Study Type Questions in Science Class 10 include the information or data. Students willing to solve them are required to read the passage carefully and then solve them. While solving the paragraph the ideal way is to highlight the key information or given data.

Because later it will ease them to write the final answers. Science Case study type questions consist of 4 to 5 questions that should be answered in an MCQ manner. 

While reading the paragraph students will get the clue in between about the possible answer of the question. They should definitely highlight those questions. This is the best way to solve such kind of Case study Type Questions.

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Case Study Questions Class 10 Maths Arithmetic Progressions

Case study questions class 10 maths chapter 5 arithmetic progressions.

CBSE Class 10 Case Study Questions Maths Arithmetic Progressions. Term 2 Important Case Study Questions for Class 10 Board Exam Students. Here we have arranged some Important Case Base Questions for students who are searching for Paragraph Based Questions Arithmetic Progressions.

CBSE Case Study Questions Class 10 Maths Arithmetic Progressions

Case Study – 1

[ KVS Raipur 2021 – 22 ]

(ii) Find the difference in number of candies placed in 7th and 3rd rows.

(ii) 7th row=3+(7-1)X2 = 3 + 12 = 15 and 3rd row = 3+(3-1) X 2 = 7 their diff.= 8

Answer: (a) 4900

4.) Find the production during first 3 years.

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Class 10 Social Science Case Study Questions

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

If you’re looking for CBSE Class 10 Social Science case study questions, myCBSEguide provides all the resources you need. We have a wide range of Class 10 Social Science case studies covering various topics, and our team of experts is on hand to provide guidance and support to Class 10 students. Whether you’re struggling with a particular topic or just need some extra help, myCBSEguide is the perfect place to turn.

Purpose of Class 10 Social Science

Up to the secondary level of schooling, social science is a core course. It is an essential component of a general education because it assists Class 10 Social Science students in comprehending the environment as a whole and acquiring a broader perspective as well as an empirical, reasonable, and humanitarian outlook. This is critical because it helps Class 10 Social Science students into well-informed and responsible citizens with the required qualities and skills to effectively engage and contribute to the process of development and nation-building.

Case Study Questions in Class 10 Social Science

Class 10 social science curriculum includes a wide range of topics. One way to help students learn and retain information from these topics is to incorporate case studies into the classroom. Case studies can provide real-world examples of the concepts being taught, and help students to understand how the theory can be applied in practice.

Incorporating case studies into the Class 10 social science curriculum can also help to develop critical thinking and problem-solving skills. By working through a case study, Class 10 social science students can learn how to identify key issues, consider different options and make decisions. These skills will be valuable in their future studies and careers.

Whichever way case studies are used, they can be a valuable addition to the Class 10 social science curriculum.

Class 10 Social Science Case Study Questions Samples

Students must solve a range of Class 10 Social Science case study questions in order to achieve good grades in Social Science. Students in Class 10 Social Science must be looking for some samples of case study questions in order to improve their grades. myCBSEguide has collected a variety of case study questions for Class 10 Social Science that will undoubtedly assist all students studying the subject. We’ve put created a collection of Class 10 Social Science case study questions for you.

Class 10 Social Science Case Study Question 1

Class 10 HISTORY: The Rise of Nationalism in Europe

Read the source given below and answer the questions that follow: Frederic Sorrieu prepared a series of four prints visualizing his dream of a world made up of ‘democratic and social Republics’, as he called them. The first print of the series shows the peoples of Europe and America – men and women of all ages and social classes – marching in a long train, and offering homage to the Statue of Liberty as they pass by it. Artists of the time of the French Revolution personified Liberty as a female figure. She bears the torch of Enlightenment in one hand and the Charter of the Rights of Man in the other. On the earth in the foreground of the image lie the shattered remains of the symbols of absolutist institutions. In Sorrieu’s utopian vision, the peoples of the world are grouped as distinct nations, identified through their flags and national costume. Leading the procession, way past the Statue of Liberty, are the United States and Switzerland, which by this time were already nation-states. France, identifiable by the revolutionary tricolour, has just reached the statue. She is followed by the peoples of Germany, bearing the black, red and gold flag. Answer the following MCQs by choosing the most appropriate option:

Who was Frederic Sorrieu?

• French artist
• German Artist
• Italian Artist
• British Artist

In which year did Frederic Sorrier prepare a series of four prints?

Which of the following statements correctly describes “absolutist”?

• Monarchical Government
• Democratic Government
• Uncentralised Government
• Bureaucratic Government

Which of the following is correct with respect to “utopian vision”?

• Homogenous society
• Monarchical society
• Ideal society
• All are correct

Answer Key:

• (a) French artist
• (a) Monarchical Government
• (c) Ideal society

Class 10 Social Science Case Study Question 2

Class 10 GEOGRAPHY: Lifelines of National Economy

Read the extract and answer the question that follows:

We use different materials and services in our daily life. Some of these are available in our immediate surroundings, while other requirements are met by bringing things from other places. Goods and services do not move from supply locales to demand locales on their own. The movement of these goods and services from their supply locations to demand locations necessitates the need for transport. Some people are engaged in facilitating these movements. These are known to be traders who make the products come to the consumers by transportation. Thus, the pace of development of a country depends upon the production of goods and services as well as their movement over space. Therefore, efficient means of transport are pre-requisites for fast development.

The movement of these goods and services can be over three important domains of our earth i.e. land, water and air. Based on these, transport can also be classified into the land, water and air transport. For a long time, trade and transport were restricted to limited space. With the development in science and technology, the area of influence of trade and transport expanded far and wide.

Today, the world has been converted into a large village with the help of efficient and fast-moving transport. Transport has been able to achieve this with the help of an equally developed communication system. Therefore, transport, communication and trade are complementary to each other.

• Explain the necessity of means of transport in modern times. (1)
• Enumerate the domains and means of transport. (2)
• Why are efficient means of transport pre-requisites for the fast development of the country? (2)
• The movement of goods and services from their supply locations to demand locations necessitates the need for transport.
• The movement of these goods and services can be over three important domains of our earth i.e. land, water and air.
• Based on these, transport can also be classified into the land, water and air transport.
• (Any two relevant points)
• Efficient and good transport for speedy movement of goods and services to different parts of India and to fulfill the needs of the people is needed.
• Goods and services do not move from supply locations to demand locations on their own. This necessitates the need for transport.
•  Some people are engaged in facilitating these movements. They go to traders who make the products and take them to the consumers by transportation.
• Thus, the pace of development of a country depends upon the production of goods and services as well as their movements over space.

Class 10 Social Science Case Study Question 3

Class 10 POLITICAL SCIENCE: Power-sharing

Read the extract given below and answer the questions that follow: The Belgian leaders recognised the existence of regional differences and cultural diversities. Between 1970 and 1993, they amended their constitution four times so as to work out an arrangement that would enable everyone to live together within the same country. The arrangement they worked out is different from any other country and is very innovative. Here are some of the elements of the Belgian model:

• Constitution prescribes that the number of Dutch and French-speaking ministers shall be equal in the central government. Some special laws require the support of the majority of members from each linguistic group.
• Many powers of the central government have been given to state governments of the two regions of the country. The state governments are not subordinate to the Central Government.
• Brussels has a separate government in which both the communities have equal representation. The French-speaking people accepted equal representation in Brussels because the Dutch-speaking community has accepted equal representation in the Central Government.
• Apart from the Central and the State Government, there is a third kind of government. This ‘community government’ is elected by people belonging to one language community – Dutch, French and German-speaking – no matter where they live. This government has the power regarding cultural, educational and language-related issues.

Answer the following MCQs by choosing the most appropriate option:

• India, Srilanka
• Belgium, Sri Lanka
• Wallonia, Brussels
• Flemish, Wallonia
• Which of the following is not the element of “Belgian model”?
• Equal number of ministers for both the groups
• Setting up of Community Government
• More power to the central government
• Equal representation at the state and central level
• “Apart from the Central and the State Government, there is a third kind of government”. Which of the following is incorrect with respect to this?
• The unique government is Community Government
• A single social group is given powers to handle community-related affairs
• Elected by people belonging to Dutch, French and German-speaking
• Power regarding cultural, educational and language-related issues
• Which of the following title best describes the given passage?
• The ethnic composition of Belgium
• Accommodation in Sri Lanka
• Accommodation in Belgium
• The ethnic composition of Sri Lanka
• (b) Belgium, Sri Lanka
• (c) More power to central government. [Explanation: Many powers of the central government have been given to state governments of the two regions of the country. The state governments are not subordinate to the Central Government.]
• (b) Single social group is given powers to handle the community-related affairs. [Explanation: A community government is one in which different social groups are given powers to handle community-related affairs.]
• (c) Accommodation in Belgium

Class 10 Social Science Case Study Question 4

Class 10 ECONOMICS: Development

Read the extract given below and answer the questions that follow: Besides seeking more income, oneway or the other, people also seek things like equal treatment, freedom, security, and respect of others. They resent discrimination. All of these are important goals. In fact, in some cases, these may be more important than more income or more consumption because material goods are not all that you need to live. Money, or material things that one can buy with it, is one factor on which our life depends. But the quality of our life also depends on non-material things. Consider an example: If you get a job in a far-off place, before accepting it you would try to consider many factors, apart from income, such as facilities for your family, working atmosphere, or opportunity to learn. In another case, a job may give you less pay but may offer regular employment that enhances your sense of security. Another job, however, may offer high pay but no job security and also leave no time for your family. This will reduce your sense of security and freedom. Similarly, for development, people look at a mix of goals. It is true that if women are engaged in paid work, their dignity in the household and society increases. However, it is also the case that if there is respect for women there would be more sharing of housework and a greater acceptance of women working outside. A safe and secure environment may allow more women to take up a variety of jobs or run a business. Hence, the developmental goals that people have are not only about better income but also about other important things in life. Answer the following MCQs by choosing the most appropriate option:

• Opportunity to learn
• Working atmosphere
• Job security
• All of the above
• The approach of living a life in bungalows, with costly cars, bikes and international tours is ________ life.
• Materialistic
• Both a and c
• “Women, who are engaged in paid jobs are an example of persons who fulfil a mix of goals.” Which of the following statement is incorrect with the given statement?
• A secure environment may allow more women to take up a variety of jobs or run a business.
• If there is respect for women, there would be greater acceptance of women working outside.
• If women are engaged in paid work, their dignity in the household and society decreases.
• “Besides seeking more income, people also seek things like equal treatment, freedom, security and respect of others”. What does the given statement signify?
• Mixed goals are important for people for development.
• Common goals are important for people for development.
• Conflicting goals are important for people for development.
• Similar goals are important for people for development.
• (d) All of the above
• (a) Materialistic
• (c) If women are engaged in paid work, their dignity in the household and society decreases. [Explanation: If women are engaged in paid work, their dignity in the household and society increases.]
• (a) Mixed goals are important for people for development.

Class 10 Social Science curriculum at a glance

The material of the Class 10 Social Science curriculum is mostly drawn from history, geography, politics, and economics. There are also elements of Sociology and Commerce. They provide a holistic vision of society in space and time, as well as in relation to one another. The numerous methods of inquiry used in each topic assist Class 10 Social Science students in understanding society from various perspectives and forming a comprehensive vision. Class 10 Social Science curriculum is designed to provide students with a comprehensive understanding of various disciplines like History, Geography, Economics and Political Science.

The table below provides the complete syllabus structure for Class 10 Social Science curriculum.

Class 10 SOCIAL SCIENCE COURSE CONTENT

Reasons to choose myCBSEguide for class 10

There are many reasons to choose myCBSEguide for CBSE social science Class 10.

• First and foremost, myCBSEguide provides comprehensive and up-to-date study material for the entire syllabus including class 10 social science case study questions. In addition, myCBSEguide also provides practice questions, sample papers and previous year question papers to help students prepare for the exams.
• Another reason to choose myCBSEguide is the online tests. Online tests are a great way to test your knowledge and prepare for the exams.
• Finally, myCBSEguide also provides a “Home Work help” forum where students can ask questions and get answers.

In conclusion, myCBSEguide is the ideal resource for CBSE social science Class 10 students, offering everything they need to excel in their studies.

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Case Study Based Questions – Class 10 Maths

CBSE has recently added Case Study Based Questions or CSQ in Maths, Science and Social Science. You can visit this article to get to practice the official Sample Papers released by CBSE by clicking  over here . Also do join out telegram channel to get all the updates and to participate in Quiz by  clicking here.

What is Case Study Based Questions or CSQ?

Case Study Based or CSQ are typically questions in which the paragraph or passage is given and you simply have to answer them. This questions are not very tough to solve and are introduced so that you score better marks as schools and tuition are kept closed due to the COVID Pandemic. As a result, this had to be introduced. This is resulting to us, by having 34 MCQ which is really very good for scoring 100/100 in CBSE.

How to start preparing for CSQ’s?

To start preparing for CSQ you will need to learn all the chapters very thoroughly especially all the chapters of Geometry. CSQ from Maths can include a mixture of many chapters thus preparing all the concepts is must. They will surely be helpful. After completing all your syllabus you will need to practice a lot. So scroll below to find more than 15 Case study based question.

Is it Easy, Hard or Moderate?

This questions are very simple if practiced at least 20-25 questions than you can easily score lot of good marks or you can score full in Maths!! Practice all the questions below.

How much time to give to each CSQ?

You will be getting 4 Case Study Question’s each would be having 5 sub questions out of which you have to just do 4 questions. So find the shortest and most theoretical question as theoretical questions doesn’t required much solving and it will not even take 1 min to solve. Each question should not take more than 6 min, resulting to only 24 min for 16 questions which is enough. Solving as many CSQ helps in better understanding and reducing the time for each question.

Below are more than 15 examples of CSQ’s for Maths!

1st Case Study Based Question

Shankar is having a triangular open space in his plot. He divided the land into three parts by drawing boundaries PQ and RS which are parallel to BC. Other measurements are as shown in the figure.

• What is the area of this land? i) 120 m 2 ii) 60 m 2 iii) 20 m 2 iv) 30 m 2
• What is the length of PQ? i) 2.5 m ii) 5 m iii) 6 m iv) 8 m
• The length of RS is i) 5 m ii) 6 m iii) 8 m iv) 4 m
• Area of △APQ is i) 7.5 m 2 ii) 10 m 2 iii) 3.75 m 2 iv) 5 m 2
• What is the area of △ARS? i) 21.6 m 2 ii) 10 m 2 iii) 3.75 m 2 iv) 6 m 2

2nd Case Study Based Question

There is some fire incident in the house. The fireman is trying to enter the house from the window as the main door is locked. The window is 6 m above the ground. He places a ladder against the wall such that its foot is at a distance of 2.5 m from the wall and its top reaches the window.

• Here, be the ladder and be the wall with the window. i) CA, AB ii) AB, AC iii) AC, BC iv) AB, BC
• We will apply Pythagoras Theorem to find length of the ladder. It is: i) AB 2 = BC 2 – CA 2 ii) CA 2 = BC 2 + AB 2 iii) BC 2 = AB 2 + CA 2 iv) AB 2 = BC 2 + CA 2
• The length of the ladder is              . i) 4.5 m ii) 2.5 m iii)6.5 m iv) 5.5 m
• What would be the length of the ladder if it is placed 6 m away from the wall and the window is 8 m above the ground? i) 12 m ii) 10 m iii) 14 m iv) 8 m
• How far should the ladder be placed if the fireman gets a 9 m long ladder? i) 6.7 m (approx.) ii) 7.7 m (approx.) iii) 5.7 m (approx.) iv) 4.7 m (approx.)

3rd Case Study Based Question

In the school garden Ajay(A), Brijesh(B), Chinki(C) and Deepak(D) planted their flower plants of Rose, Sunflower, Champa and Jasmine respectively as shown in the following figure. A fifth student Eshan wanted to plant her flower in this area. The teacher instructed Eshan to plant his flower plant at a point E such that CE: EB = 3 : 2.

• Find the coordinates of point E where Eshan has to plant his flower plant. i) (5, 6) ii) (6, 5) iii) (5, 5) iv) (6, 7)
• Find the area of △ECD. i) 9.5 square unit ii) 11.5 square unit iii) 10.5 square unit iv)12.5 square unit
• Find the distance between the plants of Ajay and Deepak. i) 8.60 unit ii) 6.60 unit iii) 5.60 unit iv) 7.60 unit
• The distance between A and B is: i) 5.5 units ii) 7 units iii) 6 units iv) 5 units
• The distance between C and D is: i) 5.5 units ii) 7 units iii) 6 units iv) 5 units

4rth Case Study Based Questions

SUN ROOM The diagrams show the plans for a sun room. It will be built onto the wall of a house. The four walls of the sunroom are square clear glass panels. The roof is made using

• Four clear glass panels, trapezium in shape, all the same size.
• One tinted glass panel, half a regular octagon in shape

• Find the mid-point of the segment joining the points J (6, 17) and I (9, 16).[Refer to Top View] i) ( 33/2 , 15/2 ) ii) ( 3/2 , 1/2 ) iii) ( 15/2 , 33/2 ) iv) ( 1/2 , 3/2 )
• The distance of the point P from the y-axis is; [Refer to Top View] i) 4 ii) 15 iii) 19 iv) 25
• The distance between the points A and S is: [Refer to Front View] i) 4 ii) 8 iii) 16 iv) 20
• Find the coordinates of the point which divides the line segment joining the points A and B in the ratio 1:3 internally. [Refer to Front View] i) (8.5, 2.0) ii) (2.0, 9.5) iii) (3.0, 7.5) iv) (2.0, 8.5)
• If a point (x,y) is equidistant from the Q(9,8) and S(17,8), then [Refer to Front View] i) x + y = 13 ii) x – 13 = 0 iii) y – 13 = 0 iv) x – y = 13

5th Case Study based Question

Education with vocational training is helpful in making a student self-reliant and to help and serve the society. Keeping this in view, a teacher made the following table giving the frequency distribution of a student undergoing vocational training from the training institute.

• Median class of above data: i) 20 – 24 ii) 20.5 – 24.5 iii) 19.5 – 24.5 iv) 24.5 – 29.5
• Calculate the median. i) 24.06 ii) 30.07 iii) 24.77 iv) 42.07
• The empirical relationship between mean, median, mode: i) Mode = 3 Median + 2 Mean ii) Mode = 3 Median – 2 Mean iii) Mode = 3 Mean + 2 Median iv) 3 Mode = Median – 2 Mean
• If mode = 80 and mean = 110, then find the median. i) 200 ii) 500 iii) 190 iv) 100
• The mode is the: i) middlemost frequent value ii) least frequent value iii) maximum frequent value iv) none of these

6th Case Study Based Question

Two brothers Ramesh and Pulkit were at home and have to reach School. Ramesh went to Library first to return a book and then reaches School directly whereas Pulkit went to Skate Park first to meet his friend and then reaches School directly.

• How far is School from their Home? i) 5 m ii) 3 m iii) 2 m iv) 4 m
• What is the extra distance travelled by Ramesh in reaching his School? i) 4.48 metres ii) 6.48 metres iii) 7.48 metres iv) 8.48 metres
• What is the extra distance travelled by Pulkit in reaching his School? (All distances are measured in metres as straight lines) i) 6.33 metres ii) 7.33 metres iii) 5.33 metres iv) 4.33 metres
• The location of the library is: i) (-1, 3) ii) (1, 3) iii) (3, 1) iv) (3, -1)
• The location of the Home is: i) (4, 2) ii) (1, 3) iii) (4, 5) iv) (5,4)

7th Case Study Based Question

The Class X students of a secondary school in Krishinagar have been allotted a rectangular plot of land for their gardening activity. Sapling of Gulmohar is planted on the boundary of the plot at a distance of 1m from each other. There is a triangular grassy lawn inside the plot as shown in Fig. The students have to sow seeds of flowering plants on the remaining area of the plot.

• Considering A as the origin, what are the coordinates of A? i) (0, 1) ii) (1, 0) iii) (0, 0) iv (-1, -1)
• What are the coordinates of P? i) (4, 6) ii) ( 6, 4) iii) (4, 5) iv) (5, 4)
• What are the coordinates of R? i) (6, 5) ii) (5, 6) iii) ( 6, 0) iv) (7, 4)
• What are the coordinates of D? i) (16, 0) ii) (0, 0) iii) (0, 16) iv) (16, 1)
• What are the coordinates of P if D is taken as the origin? i) (12, 2) ii) (-12, 6) iii) (12, 3) iv) (6, 10)

8th Case Study Based Question

There exist a tower near the house of Shankar. The top of the tower AB is tied with steel wire and on the ground, it is tied with string support. One day Shankar tried to measure the longest of the wire AC using Pythagoras theorem.

• In the figure, the length of wire AC is: (take BC = 60 ft) i) 75 ft ii) 100 ft iii) 120 ft iv) 90 ft
• What is the area of △ABC? i) 2400 ft 2 ii) 4800 ft 2 iii) 6000 ft 2 iv) 3000 ft 2
• What is the length of the wire PC? i) 20 ft ii) 30 ft iii) 25 ft iv) 40 ft
• What is the length of the hypotenuse in △ABC? i) 100 ft ii) 80 ft iii) 60 ft iv) 120 ft
• What is the area of a △POC? 100 ft 2 150 ft 2 200 ft 2 250 ft 2

9th Case Study Based Question

• SCALE FACTOR AND SIMILARITY SCALE FACTOR: A scale drawing of an object is the same shape as the object but a different size. The scale of a drawing is a comparison of the length used on a drawing to the length it represents. The scale is written as a ratio. SIMILAR FIGURES: The ratio of two corresponding sides in similar figures is called the scale factor. Hence, two shapes are Similar when one can become the other after a resize, flip, slide, or turn.

• A model of a boat is made on a scale of 1:4. The model is 120cm long. The full size of the boat has a width of 60cm. What is the width of the scale model? i) 20 cm ii) 25 cm iii) 15 cm iv) 240 cm
• What will affect the similarity of any two polygons? i) They are flipped horizontally ii) They are dilated by a scale factor iii) They are translated down iv) They are not the mirror image of one another
• If two similar triangles have a scale factor of a: b. Which statement regarding the two triangles is true? i) The ratio of their perimeters is 3a: b ii) Their altitudes have a ratio a: b iii) Their medians have a ratio a/2:b iv)Their angle bisector have a ration a 2 :b 2
• The shadow of a stick 5m long is 2m. At the same time, the shadow of a tree 12.5m high is: i) 3m ii)3.5m iii)4.5m iv)5m
• Below you see a student’s mathematical model of a farmhouse roof with measurements. The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a rectangular prism, EFGHKLMN. E is the middle of AT, F is the middle of BT, G is the middle of CT, and H is the middle of DT. All the edges of the pyramid in the model have a length of 12 m.

What is the length of EF, where EF is one of the horizontal edges of the block? i) 24m ii) 3m iii) 6m iv) 10m

10th Case Study Based Question

An Aeroplan leaves an Airport and flies due north at 300 km/h. At the same time, another Aeroplan leaves the same Airport and flies due west at 400 km/h.

• Distance travelled by the first Airplane in 1.5 hours i) 450 km ii) 300 km iii) 150 km iv) 600 km
• Distance travelled by the second Airplane in 1.5 hours i) 450 km ii) 300 km iii) 150 km iv) 600 km
• Which of the following line segment shows the distance between both the airplane? i) OA ii) AB iii) OB iv) WB
• Which airplane travelled a long distance and by how many km? i) Second, 150 km ii) Second, 250 km iii) First, 150 km iv) First, 250 km
• How far apart the two airplanes would be after 1.5 hours? i) 600 km ii) 750 km iii) 300 km iv) 150 km

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CBSE 10th Case Study Questions 2021-22 : Science Chapter-Wise Case Study Questions With Multiple Worksheets & Explanations

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CBSE 10th Case Study Questions 2021-22 : Science Chapter-Wise Case Study Questions With Multiple Worksheets & Explanations

This Article Contains Science Chapter-Wise Multiple Case Study Worksheets With Explanations For Class 10th Board Exams. CBSE has recently included these type of MCQ questions and one thing that is certain about these type of questions Is that once students practices how to solve these questions, You will never get an answer wrong that is for certain.

 Given Below Are The Class 10th Science Chapter Name Wih Respective Multiple Links Containing Case Study Worksheets & Solutions: 

Acids Bases and Salts: 

Carbon And Its Compounds: 

Chemical Reactions and Equations: 

Control And Coordination: 

Heredity and Evolution: 

How do Organisms Reproduce:

Human Eye and Colourful World: 

Life Processes: 

Light Reflection and Refraction: 

Magnetic Effects of Electric Current: 

Metals and Non Metals: 

Our Environment: 

Periodic Classification of Elements: 

Sources Of Energy: 

Sustainable Management of Natural Resources: 

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• CBSE Announces Online Marks Verification for Class 10 Supplementary Exams; Apply Online Beginning August 9 6 August, 2024, 10:45 am
• CBSE 10th Compartment Result 2024 Out: CBSE Class 10 Supplementary Results Released, Direct Link Here 5 August, 2024, 3:50 pm
• CBSE 10th Compartment Result 2024: CBSE to Release Class 10 Compartment Results Soon; Check Details Here 5 August, 2024, 3:28 pm
• When to Expect CBSE Class 10 Supplementary Results 2024? 3 August, 2024, 10:50 am
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CBSE Announces Online Marks Verification for Class 10 Supplementary Exams; Apply Online Beginning August 9

CBSE has announced the Class 10 supplementary exam results on August 5, 2024. Students can check results and download mark sheets from the official CBSE website. Dissatisfied students can apply for mark verification online from August 9 to August 10, 2024. Note that marks may decrease after re-evaluation, and the board’s decision is final. CBSE Class 10 main exam results showed a 93.12% pass rate.

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Case Study Questions for Class 10 Maths Chapter 10 Circles

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Question 1:

A student draws two circles that touch each other externally at point K with centres A and B and radii 6 cm and 4 cm, respectively as shown in the figure.

Based on the above information, answer the following questions. (i) The value of PA = (a) 10 cm (b) 5 cm (c) 13 cm (d) Can’t be determined

(ii) The value of BQ= (a) 4 cm (b) 5 cm (c) 6 cm (d) 18 cm

(iii) The value of PK = (a) 13 cm (b) 15 cm (c) 16 cm (d) 18 cm

(iv) The value of QY = (a) 2 cm (b) 5 cm (c) 1 cm (d) 3 cm

(v) If two circles touch externally, then the number of common tangents can be drawn is (a) 1 (b) 2 (c) 3 (d) None of these

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Chapter 1 Real Numbers Chapter 2 Polynomials Chapter 3 Pair of Linear Equations in Two Variables C hapter 4 Quadratic Equations Chapter 5 Arithmetic Progressions Chapter 6 Triangles Chapter 7 Coordinate Geometry Chapter 8 Introduction to Trigonometry Chapter 9 Some Applications of Trigonometry Chapter 10 Circles Chapter 11 Constructions Chapter 12 Areas Related to Circles Chapter 13 Surface Areas and Volumes Chapter 14 Statistics Chapter 15 Probability

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How Big Apple Ballroom Cha-Cha-Changed Class Scheduling With Acuity

Big Apple Ballroom , a boutique ballroom dancing studio, offers dance experiences for students that are authentic, creative, and fun. When many independent dance studios closed during the COVID-19 pandemic, the founders decided to open up a space of their own and bring their nearly 25 years of dance experience to New York City. Big Apple Ballroom was the first ballroom studio to open up when restrictions eased in 2021, and has since become a vibrant hub for everyone, from complete beginners to professionals seeking certification, to explore the joy of dancing.

Finding their rhythm amidst business growth

As Big Apple Ballroom gained popularity within the dance community, the studio needed a reliable way to organize and keep track of their growing class offerings and expanding team. “Moving from a single and then two-person business to having several staff, we needed a way to track bookings and client packages,” Michael Choi, co-owner of Big Apple Ballroom explains.

The traditional method of booking appointments via phone calls was inefficient, and they wanted to make it as easy as possible to attract new students and allow them to schedule in the way that they prefer. “Many ballroom studios rely exclusively on taking phone calls to book appointments and new students,” Choi says, “but many people in today’s era prefer to make an appointment by booking online by themselves.”

Discovering a dance partner in Acuity Scheduling

Big Apple Ballroom began exploring software to get their schedule on point and maximize time for teaching and student relations. They identified several key requirements for their ideal solution:

Intuitive and easy to use for staff, helping to minimize administrative tasks

Seamless integration with the studio’s website

Packages and lesson tracking compatible with their business structure

Acuity Scheduling met all these criteria and more. “Acuity Scheduling was easy to use and integrate with our website,” Choi notes.

Choreographing success with Acuity’s key features

At Big Apple Ballroom, Acuity is now an essential part of daily operations. “It’s the first page we have open on our desktop,” Choi says. “Each day we go over bookings for the upcoming day and later in the week to check payments due and the traffic in the studio.”

Interested dancers can visit Big Apple Ballroom’s website and use the scheduling page to book lessons and classes effortlessly. The options range from personalized instruction and dance evaluations to special events like date night dances, as well as group classes in styles like Swing, Ballroom, and Latin. When booking, students can select a preferred instructor, view their availability, choose the time that’s best for them, and even submit payment .

For first-time, introductory classes, students provide important details such as their dance style interests, goals, and how they discovered Big Apple Ballroom through a custom client intake form . Agreeing to the studio’s policies and health attestation is simple through the checkbox functionality.

One of Big Apple Ballroom’s favorite features is the ability to bundle classes and offer them as packages for purchase . With Acuity, students can purchase any combination of 5 group classes for the price of 3, incentivizing bookings and increasing the studio’s revenue.

“Acuity made tracking packages much easier,” says Choi.

“In the new environment of managing more students (we grew from a nuclear clientele to having many more people use the space and take lessons), we needed a way for all our staff to see what was going on at any moment.”

A leap forward for dance studios and instructors

Acuity Scheduling has provided a customizable yet user-friendly way for Big Apple Ballroom to manage their growing studio, helping them waltz through the hassles of admin work so they can spend more time dancing and accelerate their students’ progress.

For other studios and instructors still searching for the perfect fit for their schedule, Choi says, “Give Acuity a go. It’s got a lot of flexibility and the simplicity is great.”

Tutorial: How to Set Repeating Hours for Regular Schedules

Tutorial: syncing appointments with third-party calendars.

Class 10 Maths Case Study Questions of Chapter 1 Real Numbers

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Case study Questions in the Class 10 Mathematics Chapter 1  are very important to solve for your exam. Class 10 Maths Chapter 1 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving Class 10 Maths Case Study Questions Chapter 1  Real Numbers

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In CBSE Class 10 Maths Paper, Students will have to answer some questions based on  Assertion and Reason . There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

Real Numbers Case Study Questions With Answers

Here, we have provided case-based/passage-based questions for Class 10 Maths  Chapter 1 Real Numbers

Case Study/Passage-Based Questions

Case Study 1: Srikanth 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. (i) For what value of n, 4 n  ends in 0?

Answer: (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 n  is a rational number?

Answer: (c) for all n > 1 

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

Answer: (d) both (a) and (b)

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

Answer: (a) always true

(v) If n is any odd integer, then n2 – 1 is divisible by

Answer: (d) 8

Case Study 2: HCF and LCM are widely used in number system especially in real numbers in finding relationship between different numbers and their general forms. Also, product of two positive integers is equal to the product of their HCF and LCM Based on the above information answer the following questions.

(i) If two positive integers x and y are expressible in terms of primes as x =p 2 q 3  and y=p 3 q, then which of the following is true? (a) HCF = pq 2  x LCM (b) LCM = pq 2  x HCF (c) LCM = p 2 q x HCF (d) HCF = p 2 q x LCM

Answer: (b) LCM = pq2 x HCF

ii) A boy with collection of marbles realizes that if he makes a group of 5 or 6 marbles, there are always two marbles left, then which of the following is correct if the number of marbles is p? (a) p is odd (b) p is even (c) p is not prime (d) both (b) and (c)

Answer: (d) both (b) and (c)

(iii) Find the largest possible positive integer that will divide 398, 436 and 542 leaving remainder 7, 11, 15 respectively. (a) 3 (b) 1 (c) 34 (d) 17

Answer: (d) 17

(iv) Find the least positive integer that on adding 1 is exactly divisible by 126 and 600. (a) 12600 (b) 12599 (C) 12601 (d) 12500

Answer: (b) 12599

(v) If A, B and C are three rational numbers such that 85C – 340A = 109, 425A + 85B = 146, then the sum of A, B and C is divisible by (a) 3 (b) 6 (c) 7 (d) 9

Answer: (a) 3

Case Study 3: Real numbers are an essential concept in mathematics that encompasses both rational and irrational numbers. Rational numbers are those that can be expressed as fractions, where the numerator and denominator are integers and the denominator is not zero. Examples of rational numbers include integers, decimals, and fractions. On the other hand, irrational numbers are those that cannot be expressed as fractions and have non-terminating and non-repeating decimal expansions. Examples of irrational numbers include √2, π (pi), and e. Real numbers are represented on the number line, which extends infinitely in both positive and negative directions. The set of real numbers is closed under addition, subtraction, multiplication, and division, making it a fundamental number system used in various mathematical operations and calculations.

Which numbers can be classified as rational numbers? a) Fractions b) Integers c) Decimals d) All of the above Answer: d) All of the above

What are rational numbers? a) Numbers that can be expressed as fractions b) Numbers that have non-terminating decimal expansions c) Numbers that extend infinitely in both positive and negative directions d) Numbers that cannot be expressed as fractions Answer: a) Numbers that can be expressed as fractions

What are examples of irrational numbers? a) √2, π (pi), e b) Integers, decimals, fractions c) Numbers with terminating decimal expansions d) Numbers that can be expressed as fractions Answer: a) √2, π (pi), e

How are real numbers represented? a) On the number line b) In complex mathematical formulas c) In algebraic equations d) In geometric figures Answer: a) On the number line

What operations are closed under the set of real numbers? a) Addition, subtraction, multiplication b) Subtraction, multiplication, division c) Addition, multiplication, division d) Addition, subtraction, multiplication, division Answer: d) Addition, subtraction, multiplication, division

Hope the information shed above regarding Case Study and Passage Based Questions for Class 10 Maths Chapter 1 Real Numbers with Answers Pdf free download has been useful to an extent. If you have any other queries about CBSE Class 10 Maths Real Numbers 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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Over 50% of Students Failing Class 10, 12 Exams Are from MP, Gujarat, UP, Bihar, Andhra Boards And CBSE, Finds Govt Study

Reported By : Vatsala Shrangi

Last Updated: August 22, 2024, 01:28 IST

New Delhi, India

The analysis also showed that more girls registered and appeared in both secondary and higher secondary exams from government-managed schools, but it is the opposite in privately-run and government-aided schools. (Representational pic)

The analysis conducted by the school education department examined class 10 and 12 results of the total 59 existing school boards across the country, of which three are national-level boards while the remaining are state boards

More than half of the students failing class 10 and 12 board exams in India in 2023 were majorly from six school boards — Madhya Pradesh (MP), Gujarat, Bihar, Uttar Pradesh (UP), Andhra Pradesh, and the Central Board of Secondary Education (CBSE) — findings from a study of the exam results of secondary and higher secondary education boards carried out by the union ministry of education (MoE) showed.

The analysis conducted by the school education department examined class 10 and 12 results of the total 59 existing school boards across the country, of which three are national-level boards while the remaining are state boards.

The study highlights that the student failure rate for class 10 at the central board is 6% while for state boards is 16%. For class 12, it is 12% at the central board and 18% at state boards.

According to the study, 56% of students remaining unsuccessful in class 10 board exams are majorly from MP, Gujarat, Bihar, UP, and Andhra Pradesh.

Those failing to clear class 12 board exams are also concentrated across five school boards — UP, MP, CBSE, Bihar, and Gujarat.

The MoE undertook this study in line with the National Education Policy (NEP) 2020, which envisages standardising various school boards and providing a level playing field to all for national-level competitive entrance exams like JEE, NEET, and CUET, among others.

Of the 59 school boards, 41 are common boards for secondary and higher secondary while nine are standalone higher secondary boards [Andhra Pradesh, Assam (2), Kerala (2), Manipur, Odisha, West Bengal, and Telangana].

Six state boards follow their own syllabus (not NCERT) — Andhra Pradesh (AP), Odisha, Telangana, Bihar, Tamil Nadu, and West Bengal.

The study highlighted the variation in the exam duration of these boards ranging between 8 days and 34 days for class 10 (Bihar- 8 days, CBSE- 34 days), and 10 days to 63 days for class 12 (Bihar- 10 days, CBSE- 49 days, Punjab Board- 63 days).

According to the ministry, until last year there were 60 school boards, but with the Karnataka government merging the SSLC Board and PU Board in 2023, the number came down to 59.

“One of the biggest challenges in implementing NEP 2020 is working with 59 different school boards. For states at the bottom of the passing percentage and higher number of students failing in classes 10 and 12, we have referred the analysis to the states to come up with strategies to improve the existing scenario. We hope some of them like Karnataka will want to merge eventually,” said Sanjay Kumar, secretary, school education, MoE.

Since education is a subject in the concurrent list, states are not bound to follow any of the central government’s directives.

Number of students not clearing class 10, 12 remains high

According to the study, around 33.5 lakh class 10 students (5.5 lakh not appearing and 28 lakh failed) are not reaching class 11.

In class 12, around 32.4 lakh students (5.2 lakh not appearing and 27.2 lakh failed) are not completing the final stage of school.

“This is one of the causes for low retention rate and Gross Enrolment Ratio (GER) at higher secondary level. Open schools are yet to pick up with only 4.2 lakh students enrolled, of whom 2 lakhs passed for class 10 while in case of class 12 only 6.5 lakh enrolled, 6.2 lakh appeared and 3.3 lakh passed (2.9 lakh failed),” the report stated.

Out of the total class 10 pass-out students, 14% are from central boards and 86% from state boards. In the case of class 12, this figure stands at 12% from the central board and 88% from state boards.

“There is a need to try innovative ways to retain students. For example, Andhra Pradesh (with effect from 2023) allowed failed students to repeat for one more year as regular students,” the report said.

Number of girls opting for Science remains low

Results depict that more girls are opting for the Arts/Humanities stream, whereas the number of male students opting for the Science stream is higher.

According to data, 25.04% of girls opted for Science in 2023 while 29.8% of boys enrolled in it. This figure stood at 23.3% for girls in 2022 and 29.1% for boys.

The percentage of girls enrolling for Arts last year was 28.3% while for boys it was 21.12%. In 2022, the figure was 28.2% for girls and 21.8% for boys.

Notably, there are five school boards that are at the bottom with the least number of students enrolling in the Science stream, including Meghalaya (11.38%), Tripura (12.83%), West Bengal (14.61%), Nagaland (15.75%), and Punjab (16.35%), as per the report.

States with the highest number of Science students include Andhra Pradesh (77.97%), Manipur (68.43%), Tamil Nadu (65.94%), Telangana (65.05%), and UP (62.02%).

Disparity in performance of class 10, 12 within same boards

The study observed that there is a huge disparity between the performances of students of class 10 and 12 boards within the same state.

“This is a strong case for converging to single boards and equivalence of curriculum and assessment,” the report stated.

Data showed that the deviation in performance between class 10 and 12 board results widened in Odisha and West Bengal while it remained the same in Kerala. At the same time, in Assam, Andhra Pradesh, Telangana, and Manipur, this gap narrowed.

Gap in gender parity in privately-run schools

The analysis also showed that more girls registered and appeared in both secondary and higher secondary exams from government-managed schools, but it is the opposite in privately-run and government-aided schools. But, the number of boys in private schools is significantly higher.

The data points to gender parity in government-run schools, but a large gap in privately-run schools. However, despite the lower numbers, the overall performance of female students in private schools is better than that of the boys. This indicates that parents need to invest more in the girls’ education, who have been a socially disadvantaged group, and that given an opportunity they are faring better than the boys.