case study sample in mathematics pdf class 10

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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
• Assertion and Reason Questions of Class 10th Science
• Assertion and Reason Questions of Class 10th Social Science

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 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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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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CBSE Class 10 Maths Case Study Questions for Chapter 2 - Polynomials (Published by CBSE)

Check the case study questions published by cbse for class 10 maths chapter 2 - polynomials. these questions are important for the preparation of cbse class 10 maths exam 2021-22..

CBSE Class 10 Maths paper in Board Exam 2022 will have some questions based on the case study. These questions are entirely new for the class 10 students. Therefore, the board has released a question bank to help the students get familiarised with the case study questions. We have provided here the case study questions for CBSE Class 10 Maths Chapter 2 - Polynomials. All the questions have sub-questions of MCQ type. You can find the answer (correct option) written against each question. Practice all the case study based questions right after you finish with the chapter - Polynomials. This will help you prepare for your Maths exam easily and effectively.

Case Study Questions for Class 10 Maths Chapter 2 - Polynomials

CASE STUDY 1:

The below picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.

1. In the standard form of quadratic polynomial, ax 2 + bx + c, a, b and c are

a) All are Polynomials.

b) All are rational numbers.

c) ‘a’ is a non zero real number and b and c are any Polynomials.

d) All are integers.

Answers: c) ‘a’ is a non zero real number and b and c are any Polynomials.

2. If the roots of the quadratic polynomial are equal, where the discriminant D = b 2 – 4ac, then

a) D > 0

b) D < 0

c) D ≥ 0

Answers: d) D = 0

3. If α and 1/α are the zeroes of the quadratic polynomial 2x2 – x + 8k, then k is

c) –1/4

Answers: b) 1/4

4. The graph of x 2 +1 = 0

a) Intersects x‐axis at two distinct points.

b)Touches x‐axis at a point.

c) Neither touches nor intersects x‐axis.

d)Either touches or intersects x‐ axis.

Answers: c) Neither touches nor intersects x‐axis.

5. If the sum of the roots is –p and product of the roots is –1/p, then the quadratic polynomial is

a) k(–px 2 + x/p + 1)

b) k(px 2 – x/p – 1)

c) k(x 2 + px – 1/p)

d) k(x 2 – px + 1/p)

Answers: c) k(x 2 + px – 1/p)

CASE STUDY 2:

An asana is a body posture, originally and still a general term for a sitting meditation pose, and later extended in hatha yoga and modern yoga as exercise, to any type of pose or position, adding reclining, standing, inverted, twisting, and balancing poses. In the figure, one can observe that poses can be related to representation of quadratic polynomial.

1. The shape of the poses shown is

d) Parabola

Answer: d) Parabola

2. The graph of parabola opens downwards, if _______

a) a ≥ 0

c) a < 0

d) a > 0

Answer: c) a < 0

3. In the graph, how many zeroes are there for the polynomial?

Answer: c) 2

4. The two zeroes in the above shown graph are

Answer: b) -2, 4

CASE STUDY 3:

Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoor on a court made out of wood. The projectile (path traced) of soccer ball and basketball are in the form of parabola representing quadratic polynomial.

1. The shape of the path traced shown is

2. The graph of parabola opens upwards, if _______

b) a < 0

c) a > 0

d) a ≥ 0

Answer: c) a > 0

3. Observe the following graph and answer

In the above graph, how many zeroes are there for the polynomial?

Answer: d) 3

4. The three zeroes in the above shown graph are

b) -2, 3, 1

c) -3, -1, 2

d) -2, -3, -1

Answer: c) -3, -1, 2

5. What will be the expression of the polynomial?

a) x 3 + 2x 2 – 5x – 6

b) x 3 + 2x 2 – 5x + 6

c) x 3 + 2x 2 + 5x – 6

d) x 3 + 2x 2 + 5x + 6

Answer: a) x 3 + 2x 2 – 5x – 6

Also Check:

CBSE Case Study Questions for Class 10 Maths - All Chapters

Tips to Solve Case Study Based Questions Accurately

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CBSE 10th Standard Maths Subject Probability Case Study Questions 2021

By QB365 on 22 May, 2021

QB365 Provides the updated CASE Study Questions for Class 10 Maths, 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

QB365 - Question Bank Software

10th Standard CBSE

Final Semester - June 2015

Case Study Questions

(ii) a monkey

(iii) a teddy bear

(iv) not a monkey 

(v) not a pokemon 

(ii) If the probability of distributing dark chocolates is 4/9, then the number of dark chocolates Rohit has, is

(iii) The probability of distributing white chocolates is

(iv) The probability of distributing both milk and white chocolates is

(v) The probability of distributing all the chocolates is

In a party, some children decided to play musical chair game. In the game the person playing the music has been advised to stop the music at any time in the interval of 3 mins after he start the music in each turn. On the basis of the given information, answer the following questions. (i) What is the probability that the music will stop within first 30 sees after starting?

(ii) The probability that the music will stop within 45 sees after starting is

(iii) The probability that the music will stop after 2 mins after starting is

(iv) The probability that the music will not stop within first 60 sees after starting is

(v) The probability that the music will stop within first 82 sees after starting is

(ii) The probability of getting exactly 1 head is

(iii) The probability of getting exactly 3 tails is 

(iv) The probability of getting atmost 3 heads is 

(v) The probability of getting atleast two heads is

(ii) not of yellow colour

(iii) of green colour

(iv) of yellow colour 

(v) not of blue colour 

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

Cbse 10th standard maths subject probability case study questions 2021 answer keys.

Total number of puppets in claw crane = 58 + 42 + 36 + 64 = 200 (i) (b): P(picking a tiger) =  \(\begin{equation} \frac{36}{200}=\frac{9}{50} \end{equation}\) (ii) (a): P(picking a monkey) =  \(\begin{equation} \frac{64}{200}=\frac{8}{25} \end{equation}\) (iii) (c) : P(picking a teddy bear) =  \(\begin{equation} \frac{58}{200}=\frac{29}{100} \end{equation}\) (iv) (d) : P(not picking a monkey) = 1 - P(picking a monkey) \(\begin{equation} =1-\frac{8}{25}=\frac{17}{25} \end{equation}\) (v) (d): P(picking a pokemon) =  \(\begin{equation} \frac{42}{200}=\frac{21}{100} \end{equation}\) P(not picking a pokemon) = 1 - P(picking a pokemon) \(\begin{equation} =1-\frac{21}{100}=\frac{79}{100} \end{equation}\)

Since, every student get one chocolate. So, number of chocolates Rohit has is equal to the number of students in the class. (i) (a): Let number of milk chocolates Rohit has = x Probability of distributing milk chocolates =  \(\begin{equation} \frac{1}{3} \end{equation}\) \(\begin{equation} \Rightarrow \frac{x}{54}=\frac{1}{3} \Rightarrow x=\frac{54}{3}=18 \end{equation}\) (ii) (c): Let number of dark chocolates Rohit has = y Probability of distributing dark chocolates =  \(\begin{equation} \frac{4}{9} \end{equation}\) \(\begin{equation} \Rightarrow \frac{y}{54}=\frac{4}{9} \Rightarrow y=\frac{4 \times 54}{9}=24 \end{equation}\) (iii) (d) : Number of white chocolates Rohit has = 54 -(18 + 24) = 12 Required probability =  \(\begin{equation} \frac{12}{54}=\frac{2}{9} \end{equation}\) (iv) (b) : Total number of milk and white chocolates = 18 + 12 = 30 Required probability =  \(\begin{equation} \frac{30}{54}=\frac{5}{9} \end{equation}\) (v) (b): Since all students gets one chocolate. So, total number of chocolates distributed = 54 \(\begin{equation} \text { Required probability }=\frac{54}{54}=1 \end{equation}\)

Total time = 3 mins = 3 x 60 sees = 180 secs (i) (a): Required probability =  \(\begin{equation} \frac{30}{180}=\frac{1}{6} \end{equation}\) (ii) (a): Required probability =  \(\begin{equation} \frac{45}{180}=\frac{1}{4} \end{equation}\) (iii) (d) : P(music will stop within 2 mins) =  \(\begin{equation} \frac{120}{180}=\frac{2}{3} \end{equation}\) P(music will stop after 2 mins) =  \(\begin{equation} 1-\frac{2}{3}=\frac{1}{3} \end{equation}\) (iv) (b) : Required probability = 1 - P(music will stop within first 60 secs) \(\begin{equation} =1-\frac{60}{180}=1-\frac{1}{3}=\frac{2}{3} \end{equation}\) (v) (b): Required probability =  \(\begin{equation} \frac{82}{180}=\frac{41}{90} \end{equation}\)

Sample space (5) = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} \(\Rightarrow\) n(5) = 8 (i) (c): Let A be the event of getting atmost one tail.  A = {HHH, HHT, HTH, THH} \(\Rightarrow\) n(A) = 4 Required probability =  \(\begin{equation} \frac{4}{8}=\frac{1}{2} \end{equation}\) (ii) (d ): Let B be the event of getting exactly 1 head. B = {HTT, THT, TTH} \(\Rightarrow\)  n(B) = 3 Required probability =  \(\begin{equation} \frac{3}{8} \end{equation}\) (iii) (d) : Let C be the event of getting exactly 3 tails. C = {TTT}  \(\Rightarrow\)  n( C) = 1 Required probability =  \(\begin{equation} \frac{1}{8} \end{equation}\) \(\begin{equation} \frac{1}{8} \end{equation}\) \(\begin{equation} \frac{1}{8} \end{equation}\) \(\begin{equation} \frac{1}{8} \end{equation}\) (iv) (b) : Let D be the event of getting atmost 3 heads. D = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} \(\Rightarrow\) n(D) = 8 Required probability =  \(\begin{equation} \frac{8}{8}=1 \end{equation}\) (v) (c): Let E be the event of getting atleast two heads. E = {HHT, HTH, THH, HHH} \(\Rightarrow\) n(E) = 4 Required probability =  \(\begin{equation} \frac{n(E)}{n(S)}=\frac{4}{8}=\frac{1}{2} \end{equation}\)

Total number of blocks in the kit = 120 Number of red blocks = 40 Number of blue blocks = 25 Number of green blocks = 30 Number of yellow blocks = 120 - (40 + 25 + 30) = 120 - 95 = 25 (i) (d): P(block is red)  \(\begin{equation} =\frac{40}{120}=\frac{1}{3} \end{equation}\) (ii) (c): P(block is not yellow) = 1 - P(block is yellow) \(\begin{equation} =1-\frac{25}{120}=1-\frac{5}{24}=\frac{19}{24} \end{equation}\) (iii) (c) : P(block is green) =  \(\begin{equation} \frac{30}{120}=\frac{1}{4} \end{equation}\) (iv) (b) : P(block is yellow) =  \(\begin{equation} \frac{5}{24} \end{equation}\) (v) (b): P(block is not blue) = 1 - P(block is blue) \(\begin{equation} =1-\frac{25}{120}=1-\frac{5}{24}=\frac{19}{24} \end{equation}\)

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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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CBSE Case Study Questions for Class 10 Maths Trigonometry Free PDF

Mere Bacchon, you must practice the CBSE Case Study Questions Class 10 Maths Trigonometry  in order to fully complete your preparation . They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!

I have made sure the questions (along with the solutions) prepare you fully for the upcoming exams. To download the latest CBSE Case Study Questions , just click ‘ Download PDF ’.

CBSE Case Study Questions for Class 10 Maths Trigonometry PDF

Checkout our case study questions for other chapters.

• Chapter 6 Triangles Case Study Questions
• Chapter 7 Coordinate Geometry Case Study Questions
• Chapter 9 Some Applications of Trigonometry Case Study Questions
• Chapter 10 Circles Case Study Questions

How should I study for my upcoming exams?

First, learn to sit for at least 2 hours at a stretch

Solve every question of NCERT by hand, without looking at the solution.

Solve NCERT Exemplar (if available)

Sit through chapter wise FULLY INVIGILATED TESTS

Practice MCQ Questions (Very Important)

Practice Assertion Reason & Case Study Based Questions

Sit through FULLY INVIGILATED TESTS involving MCQs. Assertion reason & Case Study Based Questions

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ScoreMore Case Study Chapterwise Practice Questions Science Maths English and SST Class 10

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ScoreMore Case Study Chapter-wise Practice Questions Science, Maths, English, and SST Class 10 is extra ordinally outlined to assist the students to get aware of new CBSE pattern. This book contains nearly 1800+ Chapter-wise MCQs related to Case study/ Source based/ Passage based, Assertion & Reason and Analytical Paragraphs with hints and explanations as per the most recent syllabus of CBSE for the educational year 2021.

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MTG ScoreMore Case Study Chapterwise Practice Questions Science, Mathematics (Basic & Standard), English and Social Science for class 10 is specially designed to help students get familiar with solving new patterns of questions introduced by CBSE in these Subjects for Academic Year 2020-2021. Practising these questions will definitely help students to get an edge in their CBSE preparations. This book contains new questions based on the new pattern of questions (Case study/ Source/ Passage based, Assertion & Reason) as per the latest syllabus of CBSE for the academic year 2021. In English Language and Literature Class 10, CBSE has introduced a new topic called Analytical Paragraph writing this year. In Case study/Source/Passage based questions, students will be expected to answer questions after reading a given paragraph or a passage. Assertion and Reason type question is just another way of checking the clarity of one’s concept.

• 1. Chemical Reactions and Equations
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• *This chapter is not a part of the Board Examination 2020-21 syllabus
• #Case study is not possible in the chapter

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CBSE Case Study Questions

While preparing for the board exams, students are being judged on different levels of skills, such as writing, reading, etc. CBSE Case Study Questions are one of them that helps in assessing critical thinking.

The Central Board of Secondary Education will be asking the case study questions in the Class 10 and 12 board examination. Therefore, here on this page, we have provided the CBSE Case Study Questions at free of cost. Our subject matter experts have prepared Case Study questions so that Apart from the basic standard questions, students can have a variety of problems to solve. 

Just like MCQs, and other written types CBSE Case Study Questions will impact the overall performance of a student. Therefore for the convenience of the students we have provided the download links here, so that they can easily access the Class 10 and 12 Case Study.

Download Subject Wise CBSE Case Study Questions and Answers PDF 

Going through such types of questions help the students to assess their understanding level in the topics discussed in NCERT Class 10 and 12 Books. By practicing the Class 10 and 12 Case Study Questions students will be very confident to ace the board exam. Also the CBSE case study will be very useful for the NEET exam preparation.

Doing a regular practice of CBSE Case Study questions is a great way to score higher marks in the board exams as it will help students to develop a grip on the concepts. 

Here our subject experts have crafted the Subject Wise Case Study. Download Subject Wise CBSE Case Study Question and Answers PDF from the below given links.

CBSE Case Study Question and Answers PDF for Class 12

• CBSE Case Study Question for Maths
• CBSE Case Study Question for Physics
• CBSE Case Study Question for Chemistry
• CBSE Case Study Question for Biology

CBSE Case Study Question and Answers PDF for Class 10

• CBSE Case Study Question for Science
• CBSE Case Study Question for Maths
• CBSE Case Study Question for English
• CBSE Case Study Question for Social Science

Case study types of questions are generally descriptive that helps to gather more information easily so, it is kinda easy to answer. However, our subject matter experts have given the solutions of all the CBSE Case Study Questions.

Passage Based  Case Study Questions in PDF

CBSE Case studies are known as Passage Based Questions. These types of problems usually contain a short/long paragraph with 4 to 5 questions. 

Students can easily solve Passage Based Case Study Questions by reading those passages. By reading the passage students will get the exact idea of what should be the answers. Because the passage already contains some vital information or data. However a better understanding of the basic concepts that can be learned from the NCERT Textbooks will aid in solving the Case based questions or passage based questions.

How to Download CBSE Case Study Questions ?

Follow the below given simple steps to know how to download CBSE Case Study Questions:-

• Open Selfstudys website in your browser
• Go to the navigation menu that look like this
• Now, click on CBSE and then Case Study respectively
• Now, you are ready to select the subject for which you want to download the case study questions.

How to Solve Case Study Based Questions?

There are very simple methods that a student should keep in mind while solving CBSE Case Study Questions for any subject:

• Read each line of paragraph carefully and pay attention to the given data/numbers. Often questions are framed according to the highlighted data of the passage.
• Since case study questions are often framed in Multiple choice questions, students should have the knowledge of elimination methods in MCQs.
• Having a good understanding of the topics that are discussed in CBSE Books are ideal to Solve Case Study Based Questions.

Features Of CBSE  Case Study Questions And Answers PDF

The three most noticeable features of CBSE Case Study Questions And Answers Pdf are -

• It Is Free To Use:  Keeping in mind the need of students and to help them in doing Self Study, our team has made all the PDF of CBSE Case Study Questions free of cost.
• Answers Are Given:  Not only the PDFs are free provided but answers are given for all the questions of CBSE Case Study Questions. 
• PDF Can Be Downloaded Or Viewed Online:  Many students don’t like to download the PDFs on their device due to the shortage of storage. Therefore, CBSE Case Study questions are made available here in online format, so that students can view them online. However, through the Selfstudys app, a learner can download the PDFs too.

Benefits of Using CBSE  Case Study Questions and Answers

The CBSE Case Study Questions and Answers can help a student in several ways:

• In Exam Preparation:  Those who go through the CBSE Case Study Questions will find support during the exam preparation as case based questions are also asked in the CBSE Board examination. 
• Help in brushing up the previous learnings:  No matter how brilliant you are, you have to revise the studied topics time and again to keep them refreshed. And in this task, the CBSE Case Study Questions and Answers can help a lot.
• To develop the critical thinking:  Able to analyse information and make an objective judgement is a skill that is known as critical thinking. A student can use CBSE Case Study Questions with answers to develop critical thinking so that they can make better decisions in their life and in the board examination.

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Sample Papers for Class 10 Maths PDF Download

Cbse sample paper for class 10 maths.

Sample papers for Class 10 Maths are designed to assist students in preparing for their final exams. They are created in accordance with the latest syllabus and exam pattern recommended by the respective educational board. Sample papers typically include questions of varying difficulty levels, ranging from easy to challenging, covering all topics of the Maths syllabus. Solving sample papers for Class 10 Maths has numerous advantages. Firstly, it provides students with a sense of the format and pattern of the actual exam, including the number of questions, marks allocation, and question types. Secondly, it allows students to identify their weak areas by practicing sample papers and pinpointing the topics or areas where they require more practice or encounter difficulties. Thirdly, it improves time management skills by assisting students in answering questions within the allotted time frame and enhancing their speed and accuracy. Lastly, solving sample papers on a regular basis can help students gain confidence and alleviate exam-related stress and anxiety. Sample papers for Class 10 Maths are widely available online or in Books. Students can also approach their teachers or coaching institutes for sample papers and guidance on how to solve them effectively.

Year Wise Sample Papers for Class 10 Maths

Year-wise sample papers for Class 10 Maths are practice test papers that are designed to help students prepare for their board exams. These sample papers cover all the topics in the Class 10 Maths syllabus and are based on the latest exam pattern and marking scheme.

CBSE Sample Question Papers for 2022-23

• Class 10 Maths (Basic): CBSE (Official) Sample Question Paper (2022-23)
• Class 10 Maths (Basic): CBSE (Official) Marking Scheme (2022-23)
• Class 10 Maths (Standard): CBSE (Official) Sample Question Paper (2022-23)
• Class 10 Maths (Standard): CBSE (Official) Marking Scheme (2022-23)
• CBSE Sample Question Paper (2022-23) (Basic) - 1
• CBSE Sample Question Paper with Solutions (2022-23) (Basic) - 1
• CBSE Sample Question Paper (2022-23) (Standard) - 1
• CBSE Sample Question Paper with Solutions (2022-23) (Standard) - 1
• CBSE Sample Question Paper (2022-23) (Basic) - 2
• CBSE Sample Question Paper with Solutions (2022-23) (Basic) - 2
• CBSE Sample Question Paper (2022-23) (Standard) - 2
• CBSE Sample Question Paper with Solutions (2022-23) (Standard) - 2
• CBSE Sample Question Paper (2022-23) (Basic) - 3
• CBSE Sample Question Paper with Solutions (2022-23) (Basic) - 3
• CBSE Sample Question Paper (2022-23) (Standard) - 3
• CBSE Sample Question Paper with Solutions (2022-23) (Standard) - 3

CBSE Sample Question Papers for 2021-22

• CBSE Sample Question Paper- Term II (2021-22) - 1
• CBSE Sample Question Paper- Term II (2021-22) - 2
• CBSE Sample Question Paper- Term II (2021-22) - 3
• CBSE Sample Question Paper- Term II (2021-22) - 4
• CBSE Sample Question Paper- Term II (2021-22) - 5
• CBSE Sample Question Paper- Term I (2021-22) - 1
• CBSE Sample Question Paper- Term I (2021-22)
• CBSE Sample Question Paper- Term I (2021-22)- 2
• CBSE Sample Question Paper- Term I (2021-22) - 3
• CBSE Sample Question Paper- Term I (2021-22) - 4

CBSE Sample Question Papers for 2020-21

• CBSE Sample Question Paper (2020-21) (Basic) - 1
• CBSE Sample Question Paper (2020-21) (Basic) - 2
• CBSE Sample Question Paper (2020-21) (Basic) - 3
• CBSE Sample Question Paper (2020-21) (Basic) - 4
• CBSE Sample Question Paper (2020-21) (Standard) - 1
• CBSE Sample Question Paper (2020-21) (Standard) - 2
• CBSE Sample Question Paper (2020-21) (Standard) - 3
• CBSE Sample Question Paper (2020-21) (Standard) - 4

CBSE Sample Question Papers for 2019-20

• CBSE Sample Question Paper (2019-20) - 1
• CBSE Sample Question Paper (2019-20) - 2
• CBSE Sample Question Paper (2019-20) - 3
• CBSE Sample Question Paper (2019-20) - 4
• CBSE Sample Question Paper (2019-20) - 5
• CBSE Sample Question Paper (2019-20) - 6
• CBSE Sample Question Paper (2019-20) - 7
• CBSE Sample Question Paper (2019-20) - 8
• CBSE Sample Question Paper (2019-20) - 9
• CBSE Sample Question Paper (2019-20) - 10
• CBSE Sample Question Paper (2019-20) - 11
• CBSE Sample Question Paper Solutions (2019-20) (Basic) - 11
• CBSE Sample Question Paper Solutions (2019-20) (Standard) - 11

CBSE Sample Question Papers for 2017-19 

• CBSE Sample Question Paper (2018-19)
• CBSE Sample Question Paper Solutions (2018-19)
• CBSE Sample Question Paper (2017-18)

Unit Wise Weightage of CBSE Class 10 Maths

Why Someone Needs CBSE Class 10 Maths Sample Paper?

CBSE Class 10 Maths sample papers are important resources for students preparing for their board exams. Here are some reasons why someone needs CBSE Class 10 Maths sample papers:

• Practice: Sample papers help students practice and revise the concepts they have learned. By solving these papers, students can identify their weak areas and work on them.
• Familiarity with exam pattern: The sample papers are designed to follow the exam pattern and syllabus of the board exams. By solving these papers, students get familiarized with the pattern and the types of questions they can expect in the board exams.
• Time management:  Sample papers help students develop an effective strategy for time management during the board exams. By solving these papers, students can learn how to allocate their time wisely to ensure that they can answer all the questions within the given time frame.
• Self-evaluation:  Sample papers include model answers and marking schemes, which help students evaluate their performance and identify areas that need improvement.
• Boost confidence: By solving sample papers, students can gain confidence and reduce their exam anxiety. They will be better prepared and feel more confident on the day of the board exams.

In summary, CBSE Class 10 Maths sample papers are essential resources for students preparing for their board exams. They help students practice, get familiarized with the exam pattern, develop effective time management strategies, evaluate their performance, and boost their confidence.

Benefits of CBSE Class 10 Maths Sample Paper

There are several benefits of CBSE Class 10 Maths sample papers for students preparing for their board exams. Some of the key benefits include:

• Practice and Revision:  Sample papers provide students with a great opportunity to practice and revise the concepts they have learned in class. By solving these papers, students can test their understanding of various topics and identify the areas that need improvement.
• Familiarity with Exam Pattern:  Sample papers are designed to follow the exam pattern and syllabus of the board exams. By solving these papers, students can get familiarized with the types of questions asked in the board exams and the exam pattern. This helps them to be better prepared and confident on the day of the exam.
• Time Management:  Sample papers help students to develop an effective strategy for time management during the board exams. By solving these papers, students can learn how to allocate their time wisely to ensure that they can answer all the questions within the given time frame.
• Self-evaluation: Sample papers come with model answers and marking schemes, which help students evaluate their performance and identify areas that need improvement. This self-evaluation helps them to better understand their strengths and weaknesses, and to focus on the areas that need more attention.
• Reduction of Exam Anxiety:  By solving sample papers, students can reduce their exam anxiety and feel more confident on the day of the board exams. They will be better prepared and know what to expect, which can help to reduce their stress levels.

In summary, CBSE Class 10 Maths sample papers provide several benefits to students preparing for their board exams. They help students to practice and revise, get familiarized with the exam pattern, develop effective time management strategies, evaluate their performance, and reduce their exam anxiety.

Features of CBSE Sample Question Paper for Class 10 Maths

The CBSE Sample Question Paper for Class 10 Maths typically includes the following features:

• Covers Entire Syllabus: The sample paper covers the entire syllabus prescribed by the CBSE for Class 10 Maths.
• Exam Pattern: The sample paper follows the exam pattern and format as per the latest CBSE guidelines, including the number and type of questions, marking scheme, and duration.
• Variety of Questions: The sample paper includes a variety of questions, such as objective type, short answer type, long answer type, and case study-based questions, to test the students' understanding of different topics and their ability to apply the concepts.
• Difficulty Level: The sample paper is designed to have a similar difficulty level to that of the actual board exam. It includes questions of varying difficulty levels to help students prepare for different types of questions.
• Model Answers and Marking Scheme: The sample paper includes model answers and marking schemes for each question, which help students to understand the expected answers and the marking scheme.
• Helpful Tips and Suggestions: The sample paper may also include helpful tips and suggestions on how to answer different types of questions, common mistakes to avoid, and important formulas and theorems to remember.
• Latest Updates: The CBSE Sample Question Paper for Class 10 Maths is updated regularly to include any changes in the syllabus or exam pattern, ensuring that students get the most up-to-date and relevant practice material.

Overall, the CBSE Sample Question Paper for Class 10 Maths is an important tool for students to practice and prepare for the board exam. It includes a variety of questions, follows the latest exam pattern and syllabus, and provides helpful tips and model answers to help students improve their performance.

Students can also access Sample Papers of all subjects of Class 10:

• Sample Papers for Class 10 Science
• Sample Papers for Class 10 Social Science
• Sample Papers for Class 10 English
• Sample Papers for Class 10 Hindi
• Sample Papers for Class 10 Sanskrit 

Frequently Asked Questions (FAQs): Sample Papers for Class 10 Maths

What are sample papers for class 10 maths.

Sample papers for Class 10 Maths are sets of practice papers that include questions that are likely to appear in the actual board exams. These papers help students to assess their understanding of the subject and prepare for the board exams.

Why are sample papers important for Class 10 Maths?

Sample papers are important for Class 10 Maths because they help students to understand the exam pattern and the types of questions that could be asked in the board exams. Practicing sample papers also helps students to manage their time effectively during the actual exam and improves their confidence.

How should I use sample papers for Class 10 Maths?

You should use sample papers for Class 10 Maths to assess your understanding of the subject, identify your strengths and weaknesses, and practice time management skills. You can also use sample papers to familiarize yourself with the exam pattern and the types of questions that could be asked in the board exams.

Are the questions in sample papers for Class 10 Maths similar to the actual board exam questions?

The questions in sample papers for Class 10 Maths are similar to the actual board exam questions in terms of the format and the level of difficulty. However, the actual board exam questions may be different from the questions in the sample papers.

Top Courses for Class 10

Important questions, past year papers, study material, sample papers for class 10 maths, semester notes, video lectures, previous year questions with solutions, viva questions, practice quizzes, objective type questions, sample paper, mock tests for examination, extra questions, shortcuts and tricks.

Sample Papers for Class 10 Maths Free PDF Download

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