case study questions class 10 maths chapter 14

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CBSE Class 10 Maths Case Study Questions PDF

Download Case Study Questions for Class 10 Mathematics to prepare for the upcoming CBSE Class 10 Final Exam. These Case Study and Passage Based questions are published by the experts of CBSE Experts for the students of CBSE Class 10 so that they can score 100% on Boards.

CBSE Class 10 Mathematics Exam 2024  will have a set of questions based on case studies in the form of MCQs. The CBSE Class 10 Mathematics Question Bank on Case Studies, provided in this article, can be very helpful to understand the new format of questions. Share this link with your friends.

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Chapterwise Case Study Questions for Class 10 Mathematics

Inboard 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.

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

• Class 10th Science Case Study Questions
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Class 10 Maths Syllabus 2024

Chapter-1  real numbers.

Starting with an introduction to real numbers, properties of real numbers, Euclid’s division lemma, fundamentals of arithmetic, Euclid’s division algorithm, revisiting irrational numbers, revisiting rational numbers and their decimal expansions followed by a bunch of problems for a thorough and better understanding.

Chapter-2  Polynomials

This chapter is quite important and marks securing topics in the syllabus. As this chapter is repeated almost every year, students find this a very easy and simple subject to understand. Topics like the geometrical meaning of the zeroes of a polynomial, the relationship between zeroes and coefficients of a polynomial, division algorithm for polynomials followed with exercises and solved examples for thorough understanding.

Chapter-3  Pair of Linear Equations in Two Variables

This chapter is very intriguing and the topics covered here are explained very clearly and perfectly using examples and exercises for each topic. Starting with the introduction, pair of linear equations in two variables, graphical method of solution of a pair of linear equations, algebraic methods of solving a pair of linear equations, substitution method, elimination method, cross-multiplication method, equations reducible to a pair of linear equations in two variables, etc are a few topics that are discussed in this chapter.

Chapter-4  Quadratic Equations

The Quadratic Equations chapter is a very important and high priority subject in terms of examination, and securing as well as the problems are very simple and easy. Problems like finding the value of X from a given equation, comparing and solving two equations to find X, Y values, proving the given equation is quadratic or not by knowing the highest power, from the given statement deriving the required quadratic equation, etc are few topics covered in this chapter and also an ample set of problems are provided for better practice purposes.

Chapter-5  Arithmetic Progressions

This chapter is another interesting and simpler topic where the problems here are mostly based on a single formula and the rest are derivations of the original one. Beginning with a basic brief introduction, definitions of arithmetic progressions, nth term of an AP, the sum of first n terms of an AP are a few important and priority topics covered under this chapter. Apart from that, there are many problems and exercises followed with each topic for good understanding.

Chapter-6  Triangles

This chapter Triangle is an interesting and easy chapter and students often like this very much and a securing unit as well. Here beginning with the introduction to triangles followed by other topics like similar figures, the similarity of triangles, criteria for similarity of triangles, areas of similar triangles, Pythagoras theorem, along with a page summary for revision purposes are discussed in this chapter with examples and exercises for practice purposes.

Chapter-7  Coordinate Geometry

Here starting with a general introduction, distance formula, section formula, area of the triangle are a few topics covered in this chapter followed with examples and exercises for better and thorough practice purposes.

Chapter-8  Introduction to Trigonometry

As trigonometry is a very important and vast subject, this topic is divided into two parts where one chapter is Introduction to Trigonometry and another part is Applications of Trigonometry. This Introduction to Trigonometry chapter is started with a general introduction, trigonometric ratios, trigonometric ratios of some specific angles, trigonometric ratios of complementary angles, trigonometric identities, etc are a few important topics covered in this chapter.

Chapter-9  Applications of Trigonometry

This chapter is the continuation of the previous chapter, where the various modeled applications are discussed here with examples and exercises for better understanding. Topics like heights and distances are covered here and at the end, a summary is provided with all the important and frequently used formulas used in this chapter for solving the problems.

Chapter-10  Circle

Beginning with the introduction to circles, tangent to a circle, several tangents from a point on a circle are some of the important topics covered in this chapter. This chapter being practical, there are an ample number of problems and solved examples for better understanding and practice purposes.

Chapter-11  Constructions

This chapter has more practical problems than theory-based definitions. Beginning with a general introduction to constructions, tools used, etc, the topics like division of a line segment, construction of tangents to a circle, and followed with few solved examples that help in solving the exercises provided after each topic.

Chapter-12  Areas related to Circles

This chapter problem is exclusively formula based wherein topics like perimeter and area of a circle- A Review, areas of sector and segment of a circle, areas of combinations of plane figures, and a page summary is provided just as a revision of the topics and formulas covered in the entire chapter and also there are many exercises and solved examples for practice purposes.

Chapter-13  Surface Areas and Volumes

Starting with the introduction, the surface area of a combination of solids, the volume of a combination of solids, conversion of solid from one shape to another, frustum of a cone, etc are to name a few topics explained in detail provided with a set of examples for a better comprehension of the concepts.

Chapter-14  Statistics

In this chapter starting with an introduction, topics like mean of grouped data, mode of grouped data, a median of grouped, graphical representation of cumulative frequency distribution are explained in detail with exercises for practice purposes. This chapter being a simple and easy subject, securing the marks is not difficult for students.

Chapter-15  Probability

Probability is another simple and important chapter in examination point of view and as seeking knowledge purposes as well. Beginning with an introduction to probability, an important topic called A theoretical approach is explained here. Since this chapter is one of the smallest in the syllabus and problems are also quite easy, students often like this chapter

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Case Study Class 10 Maths 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.

Now, CBSE will ask only subjective questions in class 10 Maths case studies. But if you search over the internet or even check many books, you will get only MCQs in the class 10 Maths case study in the session 2022-23. It is not the correct pattern. Just beware of such misleading websites and books.

We advise you to visit CBSE official website ( cbseacademic.nic.in ) and go through class 10 model question papers . You will find that CBSE is asking only subjective questions under case study in class 10 Maths. We at myCBSEguide helping CBSE students for the past 15 years and are committed to providing the most authentic study material to our students.

Here, myCBSEguide is the only application that has the most relevant and updated study material for CBSE students as per the official curriculum document 2022 – 2023. You can download updated sample papers for class 10 maths .

First of all, we would like to clarify that class 10 maths case study questions are subjective and CBSE will not ask multiple-choice questions in case studies. So, you must download the myCBSEguide app to get updated model question papers having new pattern subjective case study questions for class 10 the mathematics year 2022-23.

Class 10 Maths has the following chapters.

• Real Numbers Case Study Question
• Polynomials Case Study Question
• Pair of Linear Equations in Two Variables Case Study Question
• Quadratic Equations Case Study Question
• Arithmetic Progressions Case Study Question
• Triangles Case Study Question
• Coordinate Geometry Case Study Question
• Introduction to Trigonometry Case Study Question
• Some Applications of Trigonometry Case Study Question
• Circles Case Study Question
• Area Related to Circles Case Study Question
• Surface Areas and Volumes Case Study Question
• Statistics Case Study Question
• Probability Case Study Question

Format of Maths Case-Based Questions

CBSE Class 10 Maths Case Study Questions will have one passage and four questions. As you know, CBSE has introduced Case Study Questions in class 10 and class 12 this year, the annual examination will have case-based questions in almost all major subjects. This article will help you to find sample questions based on case studies and model question papers for CBSE class 10 Board Exams.

Maths Case Study Question Paper 2023

Here is the marks distribution of the CBSE class 10 maths board exam question paper. CBSE may ask case study questions from any of the following chapters. However, Mensuration, statistics, probability and Algebra are some important chapters in this regard.

Case Study Question in Mathematics

Here are some examples of case study-based questions for class 10 Mathematics. To get more questions and model question papers for the 2021 examination, download myCBSEguide Mobile App .

Case Study Question – 1

In the month of April to June 2022, the exports of passenger cars from India increased by 26% in the corresponding quarter of 2021–22, as per a report. A car manufacturing company planned to produce 1800 cars in 4th year and 2600 cars in 8th year. Assuming that the production increases uniformly by a fixed number every year.

• Find the production in the 1 st year.
• Find the production in the 12 th year.
• Find the total production in first 10 years. OR In which year the total production will reach to 15000 cars?

Case Study Question – 2

In a GPS, The lines that run east-west are known as lines of latitude, and the lines running north-south are known as lines of longitude. The latitude and the longitude of a place are its coordinates and the distance formula is used to find the distance between two places. The distance between two parallel lines is approximately 150 km. A family from Uttar Pradesh planned a round trip from Lucknow (L) to Puri (P) via Bhuj (B) and Nashik (N) as shown in the given figure below.

• Find the distance between Lucknow (L) to Bhuj(B).
• If Kota (K), internally divide the line segment joining Lucknow (L) to Bhuj (B) into 3 : 2 then find the coordinate of Kota (K).
• Name the type of triangle formed by the places Lucknow (L), Nashik (N) and Puri (P) OR Find a place (point) on the longitude (y-axis) which is equidistant from the points Lucknow (L) and Puri (P).

Case Study Question – 3

• Find the distance PA.
• Find the distance PB
• Find the width AB of the river. OR Find the height BQ if the angle of the elevation from P to Q be 30 o .

Case Study Question – 4

• What is the length of the line segment joining points B and F?
• The centre ‘Z’ of the figure will be the point of intersection of the diagonals of quadrilateral WXOP. Then what are the coordinates of Z?
• What are the coordinates of the point on y axis equidistant from A and G? OR What is the area of area of Trapezium AFGH?

Case Study Question – 5

The school auditorium was to be constructed to accommodate at least 1500 people. The chairs are to be placed in concentric circular arrangement in such a way that each succeeding circular row has 10 seats more than the previous one.

• If the first circular row has 30 seats, how many seats will be there in the 10th row?
• For 1500 seats in the auditorium, how many rows need to be there? OR If 1500 seats are to be arranged in the auditorium, how many seats are still left to be put after 10 th row?
• If there were 17 rows in the auditorium, how many seats will be there in the middle row?

Case Study Question – 6

• Draw a neat labelled figure to show the above situation diagrammatically.

• What is the speed of the plane in km/hr.

More Case Study Questions

We have class 10 maths case study questions in every chapter. You can download them as PDFs from the myCBSEguide App or from our free student dashboard .

As you know CBSE has reduced the syllabus this year, you should be careful while downloading these case study questions from the internet. You may get outdated or irrelevant questions there. It will not only be a waste of time but also lead to confusion.

Here, myCBSEguide is the most authentic learning app for CBSE students that is providing you up to date study material. You can download the myCBSEguide app and get access to 100+ case study questions for class 10 Maths.

How to Solve Case-Based Questions?

Questions based on a given case study are normally taken from real-life situations. These are certainly related to the concepts provided in the textbook but the plot of the question is always based on a day-to-day life problem. There will be all subjective-type questions in the case study. You should answer the case-based questions to the point.

What are Class 10 competency-based questions?

Competency-based questions are questions that are based on real-life situations. Case study questions are a type of competency-based questions. There may be multiple ways to assess the competencies. The case study is assumed to be one of the best methods to evaluate competencies. In class 10 maths, you will find 1-2 case study questions. We advise you to read the passage carefully before answering the questions.

Case Study Questions in Maths Question Paper

CBSE has released new model question papers for annual examinations. myCBSEguide App has also created many model papers based on the new format (reduced syllabus) for the current session and uploaded them to myCBSEguide App. We advise all the students to download the myCBSEguide app and practice case study questions for class 10 maths as much as possible.

Case Studies on CBSE’s Official Website

CBSE has uploaded many case study questions on class 10 maths. You can download them from CBSE Official Website for free. Here you will find around 40-50 case study questions in PDF format for CBSE 10th class.

10 Maths Case Studies in myCBSEguide App

You can also download chapter-wise case study questions for class 10 maths from the myCBSEguide app. These class 10 case-based questions are prepared by our team of expert teachers. We have kept the new reduced syllabus in mind while creating these case-based questions. So, you will get the updated questions only.

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Class 10 Maths Chapter 14 Case Based Questions - Probability

Study Case - 1

Q2: The probability of drawing a ball of colour other than green colour is: (a) 0 (b) 4/25 (c) 21/25 (d) 17/25 Ans:  (c) Explanation:  From part (A), number of green balls = 4. ∴ Number of balls of colour other than = 25 − 4 = 21. ∴ Probability of drawing a ball of colour other than green colour = 21/25.

Q3: The probability of drawing either a green or white ball is: (a) 0 (b) 12/25 (c) 13/25 (d) 17/25 Ans: (b) Explanation:  The number of green balls = 4 and number of white balls =8. Therefore, total number of green balls + white balls = 4 + 8 = 12.. ∴ Probability of drawing either a or a white ball = 12/25.

Study Case - 2

Q1: The probability of getting almost one tail is: (a) 0 (b) 1 (c) 1/2 (d) 1/4 Ans:  (c) Explanation:  Sample space (S) = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} ⇒ n(S) = 8 Let A be the event of getting at most one tail.             ∴ A = {HHH, HHT, HTH, THH} ⇒ n(A) = 4 ∴ Required probability = 4/8 = 1/2

Q2: The probability of getting exactly 1 head is: (a) 1/2 (b) 1/4 (c) 1/8 (d) 3/8 Ans:  (d) Explanation:  Let B be the event of getting exactly 1 head. ∴B = {HTT, THT, TTH} ⇒ n(B) = 3 ∴ Required probability = 3/8 Q3: The probability of getting exactly 3 tails is: (a) 0 (b) 1 (c) 1/4 (d) 1/8 Ans:  (d) Explanation:  Let C be the event of getting exactly 3 tails.                 ∴ C = {TTT} ⇒ n(C) = 1 ∴  Required probability = 1/8 Q4: The probability of getting at most 3 heads is:   (a) 0 (b) 1 (c) 1/2 (d) 1/8 Ans: (b) Explanation:  Let D be the event of getting atmost 3 heads.             ∴ D = {HHH, HHT, HTH, HTT, THH, THT, TTT} ⇒ n(D) = 8 ∴  Required probability = 8/8 = 1.

Q5: The probability of getting at least two heads is: (a) 0 (b) 1 (c) 1/2 (d) 1/4 Ans: (c) Explanation:  Let E be the event of getting at least two heads. ∴E = {HHT, HTH, THH, HHH} ⇒ n(E) = 4 ∴ Required probability = n(E)/n(S) = 4/8 = 1/2.

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Case Study Class 10 Maths

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

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

The Case Study Class 10 Maths Questions cover a wide range of chapters from the subject. Students willing to score good marks in their board exams can use it to practice questions during the exam preparation. The questions are highly interactive and it allows students to use their thoughts and skills to solve the given Case study questions.

Download Class 10 Maths Case Study Questions and Answers PDF (Passage Based)

Download links of class 10 Maths Case Study questions and answers pdf is given on this website. Students can download them for free of cost because it is going to help them to practice a variety of questions from the exam perspective.

Case Study questions class 10 Maths include all chapters wise questions. A few passages are given in the case study PDF of Maths. Students can download them to read and solve the relevant questions that are given in the passage.

Students are advised to access Case Study questions class 10 Maths CBSE chapter wise PDF and learn how to easily solve questions. For gaining the basic knowledge students can refer to the NCERT Class 10th Textbooks. After gaining the basic information students can easily solve the Case Study class 10 Maths questions.

Case Study Questions Class 10 Maths Chapter 1 Real Numbers

Case Study Questions Class 10 Maths Chapter 2 Polynomials

Case Study Questions Class 10 Maths Chapter 3 Pair of Equations in Two Variables

Case Study Questions Class 10 Maths Chapter 4 Quadratic Equations

Case Study Questions Class 10 Maths Chapter 5 Arithmetic Progressions

Case Study Questions Class 10 Maths Chapter 6 Triangles

Case Study Questions Class 10 Maths Chapter 7 Coordinate Geometry

Case Study Questions Class 10 Maths Chapter 8. Introduction to Trigonometry

Case Study Questions Class 10 Maths Chapter 9 Some Applications of Trigonometry

Case Study Questions Class 10 Maths Chapter 10 Circles

Case Study Questions Class 10 Maths Chapter 12 Areas Related to Circles

Case Study Questions Class 10 Maths Chapter 13 Surface Areas & Volumes

Case Study Questions Class 10 Maths Chapter 14 Statistics

Case Study Questions Class 10 Maths Chapter 15 Probability

How to Solve Case Study Based Questions Class 10 Maths?

In order to solve the Case Study Based Questions Class 10 Maths students are needed to observe or analyse the given information or data. Students willing to solve Case Study Based Questions are required to read the passage carefully and then solve them. 

While solving the class 10 Maths Case Study questions, the ideal way is to highlight the key information or given data. Because, later it will ease them to write the final answers. 

Case Study class 10 Maths consists of 4 to 5 questions that should be answered in MCQ manner. While answering the MCQs of Case Study, students are required to read the paragraph as they can get some clue in between related to the topics discussed.

Also, before solving the Case study type questions it is ideal to use the CBSE Syllabus to brush up the previous learnings.

Features Of Class 10 Maths Case Study Questions And Answers Pdf

Students referring to the Class 10 Maths Case Study Questions And Answers Pdf from Selfstudys will find these features:-

• Accurate answers of all the Case-based questions given in the PDF.
• Case Study class 10 Maths solutions are prepared by subject experts referring to the CBSE Syllabus of class 10.
• Free to download in Portable Document Format (PDF) so that students can study without having access to the internet.

Benefits of Using CBSE Class 10 Maths Case Study Questions and Answers

Since, CBSE Class 10 Maths Case Study Questions and Answers are prepared by our maths experts referring to the CBSE Class 10 Syllabus, it provided benefits in various way:-

• Case study class 10 maths helps in exam preparation since, CBSE Class 10 Question Papers contain case-based questions.
• It allows students to utilise their learning to solve real life problems.
• Solving case study questions class 10 maths helps students in developing their observation skills.
• Those students who solve Case Study Class 10 Maths on a regular basis become extremely good at answering normal formula based maths questions.
• By using class 10 Maths Case Study questions and answers pdf, students focus more on Selfstudys instead of wasting their valuable time.
• With the help of given solutions students learn to solve all Case Study questions class 10 Maths CBSE chapter wise pdf regardless of its difficulty level.

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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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Important Questions for Class 10 Maths Chapter 14 Statistics

August 9, 2019 by Sastry CBSE

Statistics Class 10 Important Questions Very Short Answer (1 Mark)

Question 1. In a continuous frequency distribution, the median of the data is 21. If each observation is increased by 5, then find the new median. (2015) Solution: New median = 21 + 5 = 26

Statistics Class 10 Important Questions Short Answer-I (2 Marks)

Question 13. Find the median of the data using an empirical formula, when it is given that mode = 35.3 and mean = 30.5. (2014) Solution: Mode = 3(Median) – 2(Mean) 35.3 = 3(Median) – 2(30.5) 35.3 = 3(Median) – 61 96.3 = 3 Median Median = \(\frac{96.3}{3}\) = 32.1

Question 14. Show that the mode of the series obtained by combining the two series S 1 and S 2 given below is different from that of S 1 and S 2 taken separately: (2015) S 1 : 3, 5, 8, 8, 9, 12, 13, 9, 9 S 2 : 7, 4, 7, 8, 7, 8, 13 Solution: In S 1 : Number 9 occurs 3 times (maximum) ∴ Mode of S 1 Series = 9 In S 2 : Number 7 occurs 3 times (maximum) ∴ Mode of S, Series = 7 After combination: In S 1 & S 2 : No. 8 occurs 4 times (maximum) ∴ Mode of S 1 & S 2 taken combined = 8 So, mode of S 1 & S 2 combined is different from that of S 1 & S 2 taken separately.

Statistics Class 10 Important Questions Short Answer-II (3 Marks)

Statistics Class 10 Important Questions Long Answer (4 Marks)

Important Questions for Class 10 Maths

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Chapter 13 Class 10 Statistics

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Updated for new NCERT Book.

Solutions of all questions of Chapter 13 Statistics of Class 10 available free at teachoo. All NCERT Questions are solved, with detailed answers of each and every question and example of the NCERT Book.

In the Statistics chapter of Class 9 , we learned how to find mean, median, mode of raw and ungrouped data.

In this chapter, we will

• Learn what is Class mark of a Grouped Frequency Distribution table (x i )
• Direct Method ( f i x i )
• Using Assumed mean method ( f i d i )
• Using Step Deviation method ( f i u i )
• Finding Mode of Grouped data
• Finding Median of Grouped Data
• Converting frequency distribution of less than type to normal
• Converting frequency distribution of more than type to normal
• Relationship between Mean, Median and Mode ( 3 Median = Mode + 2 Mean )
• Drawing a less than and more than ogive , and finding median.

Click on an exercise below to start.

Clicking on a topic will open the first question (or concept), after which all the concepts and questions are given in an arrowed list. Check it out now.

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Concept wise.

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NCERT Solutions for Class 10 Maths Ch 14 Statistics

• Exercise 14.1
• Exercise 14.2
• Exercise 14.3
• Exercise 14.4

How many exercises in Chapter 14 Statistics

What are the methods to calculate mean, mode = (...........) − 2 (mean), write the empirical relation between mean, mode and median., contact form.

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Case Study Questions for Class 10 Maths

• Last modified on: 1 year ago
• Reading Time: 13 Minutes

This article covers case study questions for Class 10 Maths. Students are suggested to go through all the questions to score better in the exams.

Why Students Fear Case Study Questions for Class 10 Maths?

Students may fear Case Study questions for Class 10 Maths for the following reasons:

• Application of Concepts: Case Study questions require the application of mathematical concepts to real-world situations. Students may find it difficult to apply the concepts they have learned to solve the given scenario.
• Limited Practice: Unlike other types of questions, students may have limited practice with Case Study questions. This lack of familiarity may cause anxiety and fear among students.
• Lengthy and Complex Scenarios: Case Study questions often present lengthy and complex scenarios, which can be overwhelming for students. They may struggle to identify the relevant information and apply the appropriate mathematical concepts.
• Time Pressure: Case Study questions may require more time to solve compared to other types of questions. This can add to the stress and anxiety of students, especially during an exam.
• Fear of Making Mistakes: Since Case Study questions involve applying concepts to real-world situations, students may fear making mistakes or getting the wrong answer. This fear may cause them to avoid attempting the question altogether.

In conclusion, students may fear Case Study questions for Class 10 Maths due to the application of concepts, limited practice, lengthy and complex scenarios, time pressure, and fear of making mistakes. Teachers can help alleviate these fears by providing ample practice opportunities, breaking down the scenarios into smaller parts, and encouraging students to attempt the questions.

Best Way to Approach Case Study Questions for Class 10 Maths

Here are some tips on how to approach Case Study questions for Class 10 Maths:

• Read the scenario carefully: The first step is to read the scenario carefully and identify the key information. Pay attention to the given values, units, and any other important details.
• Identify the mathematical concepts involved: Once you have read the scenario, identify the mathematical concepts that are involved. This will help you determine which formulas or equations to apply.
• Break down the scenario into smaller parts: Some Case Study questions may have lengthy and complex scenarios. To make it easier, try to break down the scenario into smaller parts and identify the specific information that is needed to solve each part.
• Solve the problem step by step: Once you have identified the key information and the mathematical concepts involved, start solving the problem step by step. Show all the calculations and equations used.
• Check your answers: After you have solved the problem, check your answers to ensure that they are accurate and relevant to the scenario given. If possible, try to cross-check your answer using a different approach or formula.
• Practice, Practice, Practice: The more you practice Case Study questions, the more familiar you will become with the format and the types of scenarios presented. This will help you develop confidence and improve your performance.

In conclusion, approaching Case Study questions for Class 10 Maths involves careful reading of the scenario, identifying the mathematical concepts involved, breaking down the problem into smaller parts, solving the problem step by step, checking the answers, and practicing regularly.

Topics Covered in CBSE Class 10 Maths

Here are the topics covered in CBSE Class 10 Maths:

• Real Numbers: Euclid’s division lemma, HCF and LCM, irrational numbers, decimal representation of rational numbers, and the relationship between roots and coefficients of a quadratic equation.
• Polynomials: Zeros of a polynomial, relationship between zeros and coefficients of a polynomial, division algorithm for polynomials, and factorization of polynomials.
• Pair of Linear Equations in Two Variables: Graphical method of solution, algebraic methods of solution, and word problems based on linear equations.
• Quadratic Equations: Standard form of a quadratic equation, solutions of a quadratic equation by factorization and by using the quadratic formula, relationship between roots and coefficients, and nature of roots.
• Arithmetic Progressions: nth term of an AP, sum of first n terms of an AP, and word problems based on arithmetic progressions.
• Triangles: Properties of triangles, congruence of triangles, criteria for similarity of triangles, and Pythagoras theorem.
• Coordinate Geometry: Distance formula, section formula, area of a triangle, and equation of a line in different forms.
• Introduction to Trigonometry: Trigonometric ratios, trigonometric ratios of complementary angles, and word problems based on trigonometry.
• Some Applications of Trigonometry: Heights and distances.
• Circles: Tangent to a circle, number of tangents from a point on a circle, and chord properties.
• Constructions: Construction of bisectors of line segments and angles, construction of a triangle similar to a given triangle, and construction of a triangle of given perimeter and base angles.
• Areas Related to Circles: Areas of sectors and segments of a circle.
• Surface Areas and Volumes: Surface areas and volumes of spheres, cones, cylinders, and cuboids.

In conclusion, CBSE Class 10 Maths covers a wide range of topics including real numbers, polynomials, linear equations, quadratic equations, arithmetic progressions, triangles, coordinate geometry, trigonometry, circles, constructions, areas related to circles, and surface areas and volumes.

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• NCERT Solutions
• NCERT Solutions for Class 10
• NCERT Solutions for Class 10 Maths
• Chapter 14 Statistics
• Exercise 14.3

NCERT Solutions for Class 10 Maths Chapter 14 - Statistics Exercise 14.3

* According to the CBSE Syllabus 2023-24, this chapter has been renumbered as Chapter 13.

NCERT Solutions for Class 10 Maths Chapter 14 – Statistics Exercise 14.3 have been provided here, prepared by our subject experts. These NCERT Class 10 solutions are designed in accordance with the NCERT syllabus and guidelines prescribed by CBSE.

NCERT Solutions for Class 10 Maths are based on the upcoming academic session of 2023-2024. These are helpful for students to do their revision at the time of the board exam and also to score well. Go through the NCERT Class 10 Maths solutions presented here for each question of Exercise 14.3.

NCERT Solutions Class 10 Maths Chapter 14 Statistics Exercise 14.3

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Access Other Exercise Solutions of Class 10 Maths Chapter 14 – Statistics

Exercise 14.1 Solutions 6 Questions (6 long)

Exercise 14.2 Solutions 7 Questions (7 long)

Exercise 14.4 Solutions 3 Questions (3 long)

Access Answers to NCERT Class 10 Maths Chapter 14 – Statistics Exercise 14.3

1. The following frequency distribution gives the monthly consumption of an electricity of 68 consumers in a locality. Find the median, mean and mode of the data and compare them.

Find the cumulative frequency of the given data as follows:

From the table, it is observed that, N = 68 and hence N/2=34

Hence, the median class is 125-145 with cumulative frequency = 42

Where, l = 125, N = 68, cf = 22, f = 20, h = 20

Median is calculated as follows:

= 125 + [(34 − 22)/20] × 20

Therefore, median = 137

To calculate the mode:

Modal class = 125-145,

f m or f 1 = 20, f 0 = 13, f 2 = 14 & h = 20

Mode formula:

Mode = l+ [(f 1 – f 0 )/(2f 1 – f 0 – f 2 )] × h

Mode = 125 + [(20 – 13)/ (40 – 13 – 14)] × 20

= 125 + (140/13)

= 125 + 10.77

Therefore, mode = 135.77

Calculate the Mean:

x̄ = a + h (∑f i u i /∑f i ) = 135 + 20 (7/68)

Mean = 137.05

In this case, mean, median and mode are more/less equal in this distribution.

2. If the median of a distribution given below is 28.5, find the value of x & y.

Given data, n = 60

Median of the given data = 28.5

Where, N/2 = 30

Median class is 20 – 30 with a cumulative frequency = 25 + x

Lower limit of median class, l = 20,

cf = 5 + x,

f = 20 & h = 10

Substitute the values

28.5 = 20 + [(30 − 5 − x)/20] × 10

8.5 = (25 – x)/2

17 = 25 – x

Therefore, x = 8.

Now, from cumulative frequency, we can identify the value of x + y as follows:

60 = 45 + x + y

Now, substitute the value of x, to find y

60 = 45 + 8 + y

y = 60 – 53

Therefore, the value of x = 8 and y = 7.

3. The life insurance agent found the following data for the distribution of ages of 100 policy holders. Calculate the median age, if policies are given only to the persons whose age is 18 years onwards but less than the 60 years.

Given data: N = 100 and N/2 = 50

Median class = 35-40

Then, l = 35, cf = 45, f = 33 & h = 5

Median = 35 + [(50 – 45)/33] × 5

= 35 + (25/33)

Therefore, the median age = 35.76 years.

4. The lengths of 40 leaves in a plant are measured correctly to the nearest millimeter, and the data obtained is represented as in the following table:

Find the median length of the leaves.

(Hint : The data needs to be converted to continuous classes for finding the median, since the formula assumes continuous classes. The classes then change to 117.5 – 126.5, 126.5 – 135.5, . . ., 171.5 – 180.5.)

Since the data are not continuous reduce 0.5 in the lower limit and add 0.5 in the upper limit.

So, the data obtained are:

N = 40 and N/2 = 20

Median class = 144.5-153.5

then, l = 144.5,

cf = 17, f = 12 & h = 9

Median = 144.5 + [(20 – 17)/ 12] × 9

= 144.5 + (9/4)

= 146.75 mm

Therefore, the median length of the leaves = 146.75 mm.

5. The following table gives the distribution of a lifetime of 400 neon lamps.

Find the median lifetime of a lamp.

N = 400 & N/2 = 200

Median class = 3000 – 3500

Therefore, l = 3000, cf = 130,

f = 86 & h = 500

Median = 3000 + [(200 – 130)/86] × 500

= 3000 + (35000/86)

= 3000 + 406.98

Therefore, the median lifetime of the lamps = 3406.98 hours

6. 100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows:

Determine the median number of letters in the surnames. Find the mean number of letters in the surnames. Also, find the modal size of the surnames.

To calculate median:

N = 100 & N/2 = 50

Median class = 7-10

Therefore, l = 7, cf = 36, f = 40 & h = 3

Median = 7 + [(50 – 36)/40] × 3

Median = 7 + (42/40)

Median = 8.05

Calculate the Mode:

Modal class = 7-10,

Where, l = 7, f 1 = 40, f 0 = 30, f 2 = 16 & h = 3

Mode = 7 + [(40 – 30)/(2 × 40 – 30 – 16)] × 3

= 7 + (30/34)

Therefore mode = 7.88

Mean = x̄ = ∑f i x i /∑f i

Mean = 832/100 = 8.32

Therefore, mean = 8.32

7. The distribution below gives the weights of 30 students of a class. Find the median weight of the students.

Given: N = 30 and N/2= 15

Median class = 55-60

l = 55, C f = 13, f = 6 & h = 5

Median = 55 + [(15 – 13)/6] × 5

= 55 + (10/6)

= 55 + 1.666

Therefore, the median weight of the students = 56.67

In this exercise, students will solve questions based on finding the median of grouped data, which is a measure of central tendency, which gives the value of the middle-most observation in the data.

A group collection of data will be provided to the students to find the median for cases having odd and even numbers of observations. To solve complete problems for Class 10 Maths Chapter 14 exercise-wise, students can visit us any time. Also, get more study materials, such as notes, books, question papers, etc., to practise well.

The problems in Ex.14.3 are solved as per the guidance and formulas explained in the example questions before the exercise. NCERT solutions serve as the best materials for students who are looking for solutions for all the subjects class-wise and chapter-wise.

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CBSE 10th Standard Maths Subject Case Study Questions with Solutions

By QB365 on 20 May, 2021

QB365 Provides the updated CASE Study Questions for Class 10 , and also provide the detail solution for each and every case study questions . Case study questions are latest updated question pattern from NCERT, QB365 will helps to get  more marks in Exams

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Important Case Study Questions CBSE Class 10 Maths

Cbse class 10 maths important case study questions: cbse class 10 maths exam 2024 is just around the corner. case study questions can be a hard nut to track if not prepared well. check here important case study questions from class 10th maths curriculum  for cbse class 10 maths board exam 2024..

CBSE Class 10 Maths Question Paper Structure

• Section A : 20 Multiple Choice Questions (MCQs) carrying 1 mark each. 
• Section B : 5 Short Answer-I (SA-I) type questions carrying 2 marks each. 
• Section C : 6 Short Answer-II (SA-II) type questions carrying 3 marks each. 
• Section D : 4 Long Answer (LA) type questions carrying 5 marks each.
• Section E : 3 Case Based integrated units of assessment (4 marks each) with sub-parts of the values of 1, 1 and 2 marks each respectively.

CBSE Class 10 Maths Important Case Study Questions

Related:  CBSE Class 10 Maths Important Formulas for Last Minute Revision for Board Exam 2024

1 Two Friends Geeta and Sita were playing near the river. So, they decide to play a game in which they have to throw the stone in the river, and whoever will throw the stone at maximum distance, win the game. Geeta Starts first and throws the stone in the river. During her throw, her hand was making an angle of 60° with the Horizontal plane. Sita throws at 45°.

• Straight Line
• Semi circle
• Bi-Quadratic
• Parabola Open Upward
• Parabola Open Downward
• Hyperbola Open Upward
• Hyperbola Open downward
• Two Real Points
• One Real Point
• Three Real Points
• Putting y=0 in given Polynomial
• Putting y=1 in the given Polynomial
• Putting x=0 in the given Polynomial.
• Putting x=1 in the given Polynomial.

2 The department of Computer Science and Technology is conducting an International Seminar. In the seminar, the number of participants in Mathematics, Science and Computer Science are 60, 84 and 108 respectively. The coordinator has made the arrangement such that in each room, the same number of participants are to be seated and all of them being in the same subject. Also, they allotted the separate room for all the official other than participants.

(i) Find the total number of participants.

(a) 60 

(b) 84 

(c) 108 

(d) none of these

(ii) Find the LCM of 60, 84 and 108.

(a) 12 

(b) 504 

(c) 544320 

(iii) Find the HCF of 60, 84 and 108.

(iv) Find the minimum number of rooms required, if in each room, the same number of participants are to be seated and all of them being in the same subject.

(b) 20 

(c) 21 

(v) Based on the above (iv) conditions, find the minimum number of rooms required for all the participants and officials.

• In the standard form of quadratic polynomial, ax2 + bx + c, what are a, b and c ?
• If the roots of the quadratic polynomial are equal, what is the discriminant D ?
• If α and 1/α are the zeroes of the quadratic polynomial 2x2 – x + 8k, then find the value of k ?
• Represent the first situation algebraically.

a) 12x+10y=11200

b) 10x+12y=11200

c) 12x-10y=11200

d) 10x-12y=1120

2 Represent the second situation algebraically

a) 46x+55y=51400

b) 55x+46y=51400

c) 55x-46y=51400

d) 46x-55y=51400

3 The system of linear equations representing both the situations will have.

a) Infinite number of solutions

b) Unique solution

c) No Solutions

d) Exactly two solutions

4 The graph of the system of linear equations representing both the situations will be

a) Parallel lines

b) Coincident lines

c) Intersecting lines

d) None of these

• Represent algebraically the situation in hall “Rose”.

a) 50x + y = 10000

b) 50x − y = 10000

c) x + 50y = 10000

d) x − 50y = 10000

2 Represent algebraically the situation in hall “Jasmine”

a) x + 25y = 7500

b) x − 25y = 7500

c) 25x + y = 7500

d) 25x − y = 7500

3 What is the fixed rent of the halls?

4 Find the amount the hotel charged per person.

6 Riya has a field with a flowerbed and grassland. The grassland is in the shape of a rectangle while the flowerbed is in the shape of a square. The length of the grassland is found to be 3 m more than twice the length of the flowerbed. Total area of the whole land is 1260m2

(a)If the length of the square is x m then find the total length of the field i

(b) What will be the perimeter of the whole figure in terms of x?

(c )Find the value of x if the area of total field is 1260 m2

(d) Find the area of grassland and the flowerbed separately.

7 Your friend Veer wants to participate in a 200m race. He can currently run that distance in 51 seconds and with each day of practice it takes him 2 seconds less. He wants to do it in 31 seconds.

1 Write first four terms are in AP for the given situation.

2 What is the minimum number of days he needs to practice till his goal is achieved.

3 How many seconds it takes after the 5th day .

8 Helicopter Patrolling: A helicopter is hovering over a crowd of people watching a police standoff in a parking garage across the street. Stewart notices the shadow of the helicopter is lagging approximately 57 m behind a point directly below the helicopter. If he is 160 cm tall and casts a shadow of 38 cm at this time,

(i) what is the altitude of the helicopter?

(ii) What will be length of shadow of Stewart at 12:00 pm

(iii) Write the name of triangles formed for this situation.

9 Seema has a 10 m × 10 m kitchen garden attached to her kitchen. She divides it into a 10 ×10 grid and wants to grow some vegetables and herbs used in the kitchen. She puts some soil and manure in that and sow a green chilly plant at A, a coriander plant at B and a tomato plant at C. Her friend Kusum visited the garden and praised the plants grown there. She pointed out that they seem to be in a straight line. See the below diagram carefully and answer the following questions:

(i) Find the distance between A and B is

(ii) Find the mid- point of the distance AB

(iii) Find the distance between B and C

10 A heavy-duty ramp is used to winch heavy appliances from street level up to a warehouse loading dock. If the ramp is 2 meter high and the incline is 4 meter long.

(Use √3 = 1.73)

a What angle does the dock make with the street?

b How long is the base of the ramp? ( In round figure)

• If the length of the base is 12 cm and the height is 5 cm then the length of the hypotenuse of that sandwich is:
• If he increases the base length to 15 cm and the hypotenuse to 17 cm, then the height of the sandwich is :
• The value of tan 45° + cot 45°

(a) 1 (b) 2 (c) 3 (d) 4

12 A flag pole ‘h’ metres is on the top of the hemispherical dome of radius ‘r’ metres. A man is standing 7 m away from the dome. Seeing the top of the pole at an angle 45° and moving 5 m away from the dome and seeing the bottom of the pole at an angle 30°.

(i) the height of the pole

(ii) radius( height) of the dome

(iii) Is it possible to see the pole at the angle of 60 0

(iv) If the height of pole is increased, the angle elevation will .....

14 John had a farm with many animals like cows, dogs, horses etc. He had sufficient grass land for the cows and horses to graze, One day Three of his horses were tied with 7 metre long ropes at the three corners of a triangular lawn having sides 20m, 34m and 42m.

(a) Find the area of the triangular lawn .

(b) Find the area of the field that can be grazed by the horses.

(c) The area that cannot be grazed by the horses.

15 Arun, a 10th standard student, makes a project on coronavirus in science for an exhibition in his school. In this project, he picks a sphere which has volume 38808 cm3 and 11 cylindrical shapes, each of volume 1540 cm3 with length 10 cm.

Based on the above information, answer the following questions.

(i) Diameter of the base of the cylinder is

(ii) Diameter of the sphere is

(iii) Total volume of the shape formed is

(iv) Curved surface area of the one cylindrical shape is

(v) Total area covered by cylindrical shapes on the surface of sphere is

• In which age group, will the maximum number of children belong?
• Find the mode of the ages of children playing in the park?

17 Piggy bank or Money box( a coin container) is normally used by children. Piggy bank serves as a pedagogical device to teach about saving money to children. Generally, piggy banks have openings besides the slot for inserting coins but some do not have openings. We have to smash the piggy bank with a hammer or by other means, to get the money inside it. A child Shreya has a Piggybank. She saves her money in her Piggybank. One day she found that her Piggybank contains hundred 50 paisa coins, fifty 1 rupees coin, twenty 2 rupees coin, and ten 5 rupees coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down.

(a) The probability that the fallen coin will be 50 paisa coin, is -------

(b) The probability that the fallen coin will be 5 rupees coin, is---------

(c) The probability that the fallen coin will be 2 rupees coin, is---------

(d) The probability that the fallen coin will be 2 rupees coin or 5 rupees coin, is--------

• Find the probability of getting no heads
• Find the probability of getting one tail

Download answers to CBSE Class 10 Maths Important Case Study Questions

Chapter-wise important case study questions cbse class 10 maths.

• CBSE class 10 Maths syllabus 2024
• NCERT Book for Class 10 Maths
• NCERT Solutions for Class 10 Maths
• NCERT Exemplar Solutions for Class 10 Maths
• CBSE Class 10 Maths Sample Paper 2023 (Standard)
• CBSE Class 10 Maths Sample Paper 2023 (Basic)
• Previous Year Questions of CBSE Class 10 Maths
• CBSE Class 10 Maths Important Questions and Answers
• CBSE Class 10 Maths Topper Answer Sheet
• CBSE Class 10 Maths Important Formulas for Last Minute Revision
• CBSE Class 10 Maths Preparation Tips to Score 95+ Marks in CBSE Class 10 Maths Board Exam 2023
• Class 10 CBSE Admit Cards 2023-24
• CBSE Class 10 Date Sheet 2024
• CBSE Class 10 Syllabus 2023 - 2024
• CBSE Class 10 DELETED Syllabus 2023-24
• CBSE Class 10 Preparation Tips 2023: How to Prepare for Class 10th Board Exam?
• CBSE Class 10th Sample Paper 2022-23: Download Sample Question Papers and Marking Scheme
• CBSE Class 10 Previous Year Question Papers for 2022-23
• CBSE Class 10 Important Questions and Answers for 2023-24 of ALL Chapters
• CBSE Class 10 Practice Papers: All Subjects
• CBSE Topper Answer Sheet Class 10: Model Answer Paper Download PDF

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Virat And Rohit: कैसा है रोहित-विराट का टी20I रिकॉर्ड, कुछ स्टैट्स आपको कर देंगे हैरान?

T20 World Cup 2024 Prize Money: विराट, सूर्या और बुमराह को मिले कितने पैसे? सेमीफाइनलिस्ट टीमें भी मालामाल, देखें लिस्ट    

T20 World Cup 2024 Awards List: फाइनल सहित विश्व कप में किसने जीता कौन-सा अवार्ड? यहां है पूरी लिस्ट

ICC T20 World Cup Winners Till 2024: किस देश ने कब और कितनी बार जीता टी20 वर्ल्ड कप टाइटल? देखें पूरी लिस्ट

Today’s School Assembly Headlines (1 July): TISS dismisses 55 faculty members, India Wins T20 World Cup 2024, Sunita Williams’ return to Earth and Other News in English

Centripetal force: Concepts, Definition and Formula

Picture Puzzle IQ Test: Find out which woman will bring more water in 5 seconds!

JKBOSE 11th Result 2024 Releasing Shortly at jkbose.nic.in, Download JK Board Soft, Hard Zone Marksheet Here

Ordnance Factory Bhandara Recruitment 2024: Apply Online For 158 DBW Posts, Check eligibility

MECON AE Recruitment 2024: Notification Out for Various Engineer and other posts, Selection based on personal interview

HCL Junior Manager Recruitment 2024: Notification Out at hindustancopper.com, Salary Upto Rs. 1,20,000

Rajasthan BSTC Question Paper 2024: डाउनलोड करें राजस्थान बीएसटीसी प्री डीएलएड परीक्षा प्रश्न पत्र PDF

Rajasthan BSTC Pre Deled Question Paper 2024: Download Paper PDF Set Wise

Rajasthan BSTC Pre Deled Cut Off 2024: यहाँ चेक राजस्थान बीएसटीसी परीक्षा की संभावित कट ऑफ

Rajasthan BSTC Expected Cut Off 2024: Check Pre DElEd Qualifying Marks

गाड़ियों की नंबर प्लेट पर क्यों लिखा होता है A/F, जानें

PM In India: भारत के कौन-से नेता मुख्यमंत्री या मंत्री रहे बिना सीधे बने प्रधानमंत्री?

कितने जिले वाला राज्य है पंजाब, जानें

Potato in Space? What is Viral 'Space Potato', Check All Details

कौन हैं उत्तर प्रदेश के नए मुख्य सचिव मनोज कुमार सिंह, जानें