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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.

case study questions for class 10 maths

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.

Table of Contents

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 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

case study questions for class 10 maths

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

case study questions for class 10 maths

  • 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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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 questions for class 10 maths

CBSE 10th Standard Maths Subject Case Study Questions 2021

By QB365 on 21 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

case study questions for class 10 maths

Based on the above information, answer the following questions. (i) The upper limit of a class and lower limit of its succeeding class is differ by

(ii) The median class is

(iii) The cumulative frequency of the class preceding the median class is

(iv) The median of the distance travelled is

(v) If the mode of the distance travelled is 223.78 km, then mean of the distance travelled by the bus is

An electric scooter manufacturing company wants to declare the mileage of their electric scooters. For this, they recorded the mileage (km/ charge) of 50 scooters of the same model. Details of which are given in the following table.

case study questions for class 10 maths

(ii) The modal value of the given data is

(ill) The median value of the given data is

(iv) Assumed mean method is useful in determining the

(v) The manufacturer can claim that the mileage for his scooter is

Household income in India was drastically impacted due to the COVID-19 loekdown. Most of the companies decided to bring down the salaries of the employees by 50%. The following table shows the salaries (in percent) received by 25 employees during loekdown.

case study questions for class 10 maths

(ii) Total number of persons whose salary is reduced by atmost 40%, is

(iii) The modal class is

(iv) The median class of the given data is

(v) The empirical relationship between mean, median and mode is

A petrol pump owner wants to analyse the daily need of diesel at the pump. For this he collected the data of vehicles visited in 1 hr. The following frequency distribution table shows the classification of the number of vehicles and quantity of diesel filled in them.

case study questions for class 10 maths

(ii) Average diesel required for a vehicle is

(iii) If approximately 2000 vehicles comes daily at the petrol pump, then how much litres of diesel the pump should have?

(iv) The sum of upper and lower limit of median class is

(v) If the median of given data is 8litres, then mode will be equal to

case study questions for class 10 maths

(ii) \(\begin{equation} ₹ \end{equation} \)  20 coin

(iii) not a   \(\begin{equation} ₹ \end{equation} \)  10 coin

(iv) of denomination of atleast   \(\begin{equation} ₹ \end{equation} \) 10. 

(v) of denomination of atmost \(\begin{equation} ₹ \end{equation} \)  5.

case study questions for class 10 maths

(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

case study questions for class 10 maths

(ii) not of yellow colour

(iii) of green colour

(iv) of yellow colour 

(v) not of blue colour 

case study questions for class 10 maths

(ii) The probability of selecting a flowerhorn fish is

(iii) The probability of not selecting a koi fish is

(iv) The probability of selecting neither angle fish nor flowerhorn fish is 

(v) The probability of selecting a guppy fish is 

case study questions for class 10 maths

 (ii) The probability of getting the sum of numbers on two dice is 16, is

(iii) The probability that both the numbers are prime numbers, is

(iv) The probability that product of two numbers is odd, is|

(v) The probability that difference between numbers is zero, is 

case study questions for class 10 maths

(ii) The probability of getting a black diamond is

(iii) The probability of getting a face card is

(iv) The probability of getting a club is

(v) The probability of getting a red card is

case study questions for class 10 maths

(ii) If Anita spins the wheel, then the probability of getting no prize is

(iii) Anshu spins the wheel, the probability that the wheel stops at soccer ball is

(iv) The probability that one customer wins 15% discount is

(v) The probability of getting a free spin is 

case study questions for class 10 maths

(ii) A football is selected at random, the probability of selecting a non-defective football is

(iii) The total number of defective footballs produced in one day is

(iv) The total number of non-defective footballs produced in one day is 

(v) If the probability of selecting a defective football is , then the number of non-defective footballs produced in one day, if everyday same number of footballs produced in the factory, is 

case study questions for class 10 maths

(ii) The probability that Gupta's has atleast 1 boy is

(iii) The probability that Gupta's has atmost 1 girl is

(iv) The probability that Singhal's has no boy is

(v) The sum of probabilities that both families have exactly two girls is

case study questions for class 10 maths

(ii) The probability that the selected carton is not of orange juice is

(iii) The probability of selecting a carton of guava juice is

(iv) Vishal buys 4 cartons of apple juice, 3 cartons of orange juice and 3 cartons of guava juice. A customer comes to Vishal's shop and picks a tetrapack of juice at random. The probability that the customer picks a guava juice, if each carton has 10 tetrapacks of juice, is 

(v) If the storekeeper bought 14 more cartons of apple juice, then the probability of selecting a tetrapack of apple juice from the store is 

In the month of May, the weather forecast department gives the prediction of weather for the month of June, The given table shows the probabilities of forecast of different days:

case study questions for class 10 maths

(ii) If the number of cloudy days in June is 5, then x =

(iii) The probability that the day is not rainy is

(iv) If the sum of x < and y is  \(\begin{equation} \frac{3}{10} \end{equation}\) , then the number of rainy days in June is

(v) Find the number of partially cloudy days

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

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

(i) (b): The upper limit of a class and the lower class of its succeeding class differ by 1. (ii) (d) : Here, class intervals are in inclusive form. So, we first convert them in exclusive form. The frequency distribution table in exclusive form is as follows:

\(\text { Here, } \Sigma f_{i} \text { i.e., } N=60 \) \(\Rightarrow \frac{N}{2}=30\)

Now, the class interval whose cumulative frequency is just greater than 30 is 219.5 - 229.5. \(\therefore\) Median class is 219.5 - 229.5. (iii) (b): Clearly, the cumulative frequency of the class preceding the median class is 18 (iv) (d) : Median  \(=l+\left[\frac{\frac{N}{2}-c . f .}{f}\right] \times h\) \(=219.5+\left(\frac{30-18}{26}\right) \times 10 \) \(=219.5+\frac{12 \times 10}{26}=219.5+4.62=224.12\) \(\therefore\) Median of the distance travelled is 224.12 km (v) (d) : We know, Mode = 3 Median - 2 Mean \(\therefore \quad \text { Mean }=\frac{1}{2}(3 \text { Median }-\text { Mode }) \) \(=\frac{1}{2}(672.36-223.78)=224.29 \mathrm{~km}\)

Given frequency distribution table can be drawn as:

(i) (d): Clearly, average mileage \(=\frac{7240}{50}=144.8 \mathrm{~km} / \text { charge }\) (ii) (b) : Since, highest frequency is IS, therefore, modal class is 140-160. Here, l = 140,f 1 = 18,f 0  = 12,f 2 = 13, h = 20 \(\therefore \quad \text { Mode }=140+\frac{18-12}{36-12-13} \times 20=140+\frac{6}{11} \times 20 \) \(=140+\frac{120}{11}=140+10.91=150.91\) (iii) (b) : Here  \(\frac{N}{2}=\frac{50}{2}=25\)  and the corresponding class whose cumulative frequency is just greater than 25 is 140-160. Here, l = 140, c.f = 19, h = 20 and f= 18 \(\therefore \quad \text { Median }=l+\left(\frac{\frac{N}{2}-c . f .}{f}\right) \times h\) \(=140+\frac{25-19}{18} \times 20=140+\frac{60}{9}=146.67\) (iv) (a) : Assumed mean method is useful in determining the mean. (v) (a): Since, Mean = 144.S, Mode = 150.91 and Median = 146.67 and minimum of which is 144 approx, therefore manufacturer can claim the mileage for his scooter 144 km/charge.

(i) (d): Required number of persons = 9 + 6 = 15 (ii) (c) : Required number of persons = 6 + 8 + 2 = 16 (iii) (a) : 50-60 is the modal class as the maximum frequency is 9. (iv) (b) : The cumulative frequency distribution table for the given data can be drawn as :

\(\text { Here, } \frac{N}{2}=\frac{25}{2}=12.5\) The cumulative frequency just greater than 12.5 lies in the interval 60-70. Hence, the median class is 60-70. (v) (a): We know, Mode = 3 Median - 2 Mean \(\therefore\)   3 Median = Mode + 2 Mean.

(i) (a): If f i  and x i are very small, then direct method is appropriate method for calculating mean. (ii) (a) : The frequency distribution table from the given data can be drawn as :

\(\therefore \quad \text { Mean }=\frac{\Sigma f_{i} x_{i}}{\Sigma f_{i}}=\frac{326}{40}=8.15 \text { litres }\)

(iii) (b) : If 2000 vehicles comes daily and average quantity of diesel required for a vehicle is 8.15 litres, then total quantity of diesel required = 2000 x 8.15 = 16300 litres (iv) (c) : Here  \(N=40 \text { and } \frac{N}{2}=20\)  c.f for the distribution are 5, 15,25,32,40 Now, c.f just greater than 20 is 25 which is corresponding to the class interval 7-9. So median class is 7-9. \(\therefore\) Required sum of upper limit and lower limit = 7 + 9 = 16 (v) (b): We know, Mode = 3 Median -2 Mean = 3(8) - 2(8.15) = 24 - 16.3 = 7.7

Total number of coins = 50 + 48 + 36 + 28 + 8 = 170 (i) (c): Number of  \(\begin{equation} ₹ \end{equation} \)  5 coins = 36 Required probability =  \(\begin{equation} \frac{36}{70}=\frac{18}{85} \end{equation}\) (ii) (b): Number of \(\begin{equation} ₹ \end{equation} \) 20 coins = 8 Required probability =  \(\begin{equation} \frac{8}{170}=\frac{4}{85} \end{equation}\) (iii) (d): Number of \(\begin{equation} ₹ \end{equation} \) 10 coins = 28 Probability (coin is of \(\begin{equation} ₹ \end{equation} \) 10) =  \(\begin{equation} \frac{28}{170} \end{equation}\) Required probability = 1 - P(coin is of 10) \(\begin{equation} =1-\frac{28}{170}=\frac{142}{170}=\frac{71}{85} \end{equation}\) (iv) (a) : Total number of coins of  \(\begin{equation} ₹ \end{equation} \) 10 and \(\begin{equation} ₹ \end{equation} \)  20 = 28 + 8 = 36 Required probability =  \(\begin{equation} \frac{36}{170}=\frac{18}{85} \end{equation}\) (v) (a): Total number of coins of \(\begin{equation} ₹ \end{equation} \) 1, \(\begin{equation} ₹ \end{equation} \) 2 and \(\begin{equation} ₹ \end{equation} \)  5  = 50 + 48 + 36 = 134 Required probability =  \(\begin{equation} \frac{134}{170}=\frac{67}{85} \end{equation}\)

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 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) \(\begin{equation} =1-\frac{25}{120}=1-\frac{5}{24}=\frac{19}{24} \end{equation}\)

Total number of fish in the aquarium = 13 + 18 + 12 + 11 = 54 (i) (b): Number of male fish in the aquarium = 36 Number of female fish in the aquarium = 54 - 36 = 18 So, required probability =  \(\begin{equation} \frac{18}{54}=\frac{1}{3} \end{equation}\) (ii) (b): Required probability =  \(\begin{equation} \frac{18}{54}=\frac{1}{3} \end{equation}\) (iii) (d) : P(selecting a koi fish) =  \(\begin{equation} \frac{12}{54}=\frac{2}{9} \end{equation}\) P(not selecting a koi fish) = 1 - P(selecting a koi fish)  \(\begin{equation} =1-\frac{2}{9}=\frac{7}{9} \end{equation}\) (iv) (b) : Total number of guppy fish and koi fish = 13 + 12 = 25 P(selecting neither angel fish nor flowerhorn fish =25/54. (v) (c) : P(selecting a guppy fish) = 13/54.

(i) (b): Total number of possible outcomes on throwing two dice simultaneously = 6 x 6 = 36 (ii) (c): As we know, that maximum sum of numbers on two dice = 6 + 6 = 12 It is an impossible event. So, required probability = 0 (iii) (c) : Let A be the event that both the numbers on dice are prime.  A = {(2, 2), (2, 3), (2, 5), (3,2), (3, 3), (3, 5), (5, 2), (5,3), (5, 5)} \(\Rightarrow\) n(A) = 9 \(\begin{equation} P(A)=\frac{9}{36}=\frac{1}{4} \end{equation}\) (iv) (c) : Let B the event that product of two numbers is odd. B = {(1, 1), (1, 3), (1, 5), (3,1), (3, 3), (3, 5), (5,1), (5,3), (5, 5)} \(\Rightarrow\) n(B) = 9 \(\begin{equation} P(B)=\frac{9}{36}=\frac{1}{4} \end{equation}\) (v) (c) : Let C be the event that difference of two numbers is zero. C = {(1, 1), (2,2), (3, 3), (4,4), (5, 5), (6, 6)} \(\Rightarrow\) n(C) = 6 \(\begin{equation} P(C)=\frac{6}{36}=\frac{1}{6} \end{equation}\)

Total number of cards left = 52 - (4 + 4 + 4) = 52 - 12 = 40 There are four 2's, four 5's and four Jacks in a deck (i) (c): P(getting 6 of spade) =  \(\begin{equation} \frac{1}{40} \end{equation}\) (ii) (a): As there is no black diamond in the deck of cards. P(black diamond) = 0 (iii) (b) : Total number of face cards in a deck = 12 But all Jacks are removed Number offace cards left = 12 - 4 = 8 So, P(getting a face card) =  \(\begin{equation} \frac{8}{40}=\frac{1}{5} \end{equation}\) (iv) (d) : Number of cards of club left = 13 - 3 = 10 3 cards are removed of each kind P(getting a club) =  \(\begin{equation} \frac{10}{40}=\frac{1}{4} \end{equation}\) (v) (c): Number of red cards left = 26 - 6 = 20 P(getting a red card) =  \(\begin{equation} \frac{20}{40}=\frac{1}{2} \end{equation}\)

Total number of possible outcomes = 10 (i) (b): P(getting 100% discount) =  \(\begin{equation} \frac{1}{10} \end{equation}\) (ii) (c): P(getting no prize) =  \(\begin{equation} \frac{3}{10} \end{equation}\) (iii) (b) : P(getting a soccer ball) =  \(\begin{equation} \frac{2}{10}=\frac{1}{5} \end{equation}\) (iv) (b) : P(getting 15% discount) =  \(\begin{equation} \frac{2}{10}=\frac{1}{5} \end{equation}\) (v) (a): P(getting a free spin) =  \(\begin{equation} \frac{1}{10} \end{equation}\)

Total number of footballs produced in one day = 220000 (i) (c): P(selecting a defective football) =  \(\begin{equation} \frac{15}{100}=\frac{3}{20} \end{equation}\) (ii) (d): P(selecting a non-defective football) = 1- P(selecting a defective football) =  \(\begin{equation} 1-\frac{3}{20}=\frac{17}{20} \end{equation}\) (iii) (b) : Total number of defective footballs produced in 1 day =  \(\begin{equation} \frac{3}{20} \times 22000=3300 \end{equation}\) (iv) (a) : Total number of non-defective footballs produced in 1 day = 22000 - 3300 = 18700 (v) (d): P(selecting defective football)  \(\begin{equation} =\frac{8}{25} \end{equation}\) P (selecting non-defective football) =  \(\begin{equation} 1-\frac{8}{25}=\frac{17}{25} \end{equation}\) Number of non-defective footballs produced  \(\begin{equation} =\frac{17}{25} \times 22000=14960 \end{equation}\)

Let Band G denotes boy and girl respectively. Then, Possible outcomes for Gupta's family having two kids is {BB, BG, GG} Similarly, possible outcomes for Singhal's family having 3 kids is {BBB, BBG, BGG, GGG} (i) (b): Required probability =  \(\begin{equation} \frac{1}{4} \end{equation}\) (ii) (b): Required probability =  \(\begin{equation} \frac{2}{3} \end{equation}\) (iii) (b): Required probability =  \(\begin{equation} \frac{2}{3} \end{equation}\) (iv) (b) : Required probability =  \(\begin{equation} \frac{1}{4} \end{equation}\) (v) (c): Required probability =  \(\begin{equation} \frac{1}{3}+\frac{1}{4}=\frac{7}{12} \end{equation}\)

Total number of cartons in the store = 80 + 90 + 38 + 42 = 250 (i) (d) : P(choosing an apple juice carton) =  \(\begin{equation} \frac{90}{250}=\frac{9}{25} \end{equation}\) (ii) (c) : P( choosing an orange juice carton ) =  \(\begin{equation} \frac{80}{250}=\frac{8}{25} \end{equation}\) P(choosing not an orange juice carton) =  \(\begin{equation} =1-\frac{8}{25}=\frac{17}{25} \end{equation}\) (Iii) (d): P(choosing a guava juice carton) =  \(\begin{equation} \frac{42}{250}=\frac{21}{125} \end{equation}\) (iv) (c) : Total number of cartons Vishal bought =4+3+3=10 Number of tetrapacks in 1 carton = 10 Total number of tetrapacks Vishal has = 100 So, P( customer picks a guava juice tetrapack)  \(\begin{equation} =\frac{3 \times 10}{100}=\frac{3}{10} \end{equation}\) (v) (b): Number of cartons left with storekeeper = 250 - 10 = 240 Number of cartons he bought = 14 Total number of cartons are with storekeeper now = 240 + 14 = 254 So, P(selecting a tetrapack of apple juice from store)  \(\begin{equation} =\frac{(90-4+14) \times 10}{254 \times 10}=\frac{100}{254}=\frac{50}{127} \end{equation}\)

Total number of days in June = 30 (i) (c): Number of sunny days = PCsunny day) x 30 =  \(\begin{equation} \frac{1}{2} \times 30=15 \end{equation}\) (ii) (b) : Number of cloudy days in June = 5 \(\begin{equation} x=\frac{5}{30}=\frac{1}{6} \end{equation}\) (iii) (a): Required probability =  \(\begin{equation} \frac{1}{2}+\frac{1}{6}+\frac{1}{5}=\frac{13}{15} \end{equation}\) (iv) (d) : We have,  \(\begin{equation} x+y=\frac{3}{10} \Rightarrow y=\frac{3}{10}-\frac{1}{6}=\frac{2}{15} \end{equation}\) So, number of rainy days =  \(\begin{equation} \frac{2}{15} \times 30=4 \end{equation}\) (v) (c): Number of partially cloudy days = P(partially cloudy days) x 30  \(\begin{equation} =\frac{1}{5} \times 30=6 \end{equation}\)

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case study questions for class 10 maths

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Case Study Based Questions – Class 10 Maths

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

What is Case Study Based Questions or CSQ?

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

How to start preparing for CSQ’s?

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

Is it Easy, Hard or Moderate?

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

How much time to give to each CSQ?

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

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

1st Case Study Based Question

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

Case Study Based Questions for Maths

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

2nd Case Study Based Question

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

case study questions for class 10 maths

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

3rd Case Study Based Question

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

case study based question coordinate geometry.

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

4rth Case Study Based Questions

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

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

Maths Case Study Based Questions(More than 25 questions)

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

5th Case Study based Question

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

Case Study Based Questions from Statistics(25+ CSQ Questions)

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

6th Case Study Based Question

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

case study questions for class 10 maths

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

7th Case Study Based Question

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

Case Study Based Question

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

8th Case Study Based Question

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

Case Study based Question triangles

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

9th Case Study Based Question

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

Case Study Based Question from Similar Triangles.

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

Sub Question Case Study Based Question Triangles.

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

10th Case Study Based Question

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

Case Study Based Question

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

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Class 10 Maths Chapter 2 MCQ

case study questions for class 10 maths

Class 10 Maths Chapter 2 MCQ based on Case Study with answers and explanation for the first term exams 2023-24. All the questions including CBSE MCQ set of questions are answered with complete explanation. Class 10 Maths Chapter 2 Case study based MCQ of Polynomials helps the students to understand the pattern of CBSE question papers and way of answering.

During the skipping through skipping rope, its look like the in the form of parabola. It is a natural examples of parabolic shape which is represented by a quadratic polynomial. Similarly, we can observe in many other cases forming a in a variety of forms of different parabolas.

10th Maths Chapter 2 Case Study – 1

In the standard form of quadratic polynomial, ax² + bx + c, the condition between a, b and c are

Because if a = 0, the equation become linear. Then it is not a quadratic polynomial. Hence, the correct option is (C).

  • View Answer

If the roots of the quadratic polynomial are unequal, where the discriminant D = b² – 4ac, then

We know that: If D = b² – 4ac 0, real and unequal roots. Hence, the correct option is (A).

If α and -α are the zeroes of the quadratic polynomial 2x² – 3(k – 4)x – 8, then k is

From the quadratic polynomial 2x² – 3(k – 4)x – 8 Sum of zeros = 3(k – 4)/2 [Because sum of zeros = -b/a] So, α + (- α) = 3(k – 4)/2, therefore, k – 4 = 0 or k = 4 Hence, the correct option is (A).

The graph of x² – 1 = 0

The given equation: x² – 1 = 0 or 1.x² + 0.x – 1 = 0 Here, a = 1, b = 0 and c = – 1 D = b² – 4ac = 0² – 4 х 1 х(- 1) = 4, therefore, there is two real root. So, the graph of the equation intersects x‐axis at two distinct points. Hence, the correct option is (A).

If the sum of the roots is p and product of the roots is -p, then the quadratic polynomial is

We know that the equation of a quadrilateral is given by: k [x² – (sum of roots)x + product of roots)] Therefore, the equation = k(x² – (p)x + (-p)] = k(x² – px – p) Hence, the correct option is (C).

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.

10th Maths Chapter 2 Case Study – 2

In the standard form of quadratic polynomial, ax² + bx + c, a, b and c are

Because if a = 0, the equation become linear. Then it is not a quadratic equation. Hence, the correct option is (C).

If the roots of the quadratic polynomial are equal, where the discriminant D = b² – 4ac, then

We know that: If D = b² – 4ac 0, real and unequal roots. Hence, the correct option is (D).

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

From the quadratic polynomial 2x² – x + 8k Product of zeros = 8k/4 [Because product of zeros = c/a] So, α x (1/α) = 8k/2 Therefore, 4k = 1 Hence, k = 1/4 Hence, the correct option is (B).

The graph of x² + 1 = 0

The given equation: x² + 1 = 0 or 1.x² + 0.x + 1 = 0 Here, a = 1, b = 0 and c = 1 D = b² – 4ac = 0² – 4 х 1 х 1 = – 4, therefore, there is no real root. So, the graph of the equation neither touches nor intersects x‐axis. Hence, the correct option is (C).

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

We know that the equation of a quadrilateral is given by: k [x² – (sum of roots)x + product of roots)] Therefore, the equation = k(x² – (-p)x + (-1/p)] = k(x² + px – 1/p) Hence, the correct option is (C).

Observe the position of the athlete taking long jump. He use to follow every time a particular shape of path. In the figure, a student can observe that the different positions can be related to representation of quadratic polynomial.

10th Maths Chapter 2 Case Study – 3

The path of the different positions form a

When we draw a dotted line following the different positions of athlete, it show a parabolic path. So, it is a parabola. Hence, the correct option is (D).

If the above case is represented by quadratic polynomial ax² + bx + c, then

If a > 0, the parabola is upward. If a < 0, the parabola is downward. Hence, the correct option is (C).

If the sum of zeros of quadratic polynomial ax² + bx + c is equal to product of zero, then

Given polynomial: ax² + bx + c Sum of zeros = -b/a, Product of zeros = c/a, According to question, -b/a = c/a Therefore, – b = a or a + b = 0 Hence, the correct option is (C).

Observe the graph given below.

Class 10 Maths Chapter 2 MCQ

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

The graph of the polynomial cutting the x-axis at four distinct points. So, it has 4 zeros. Hence, the correct option is (D).

The four zeroes in the above shown graph are

The graph of the polynomial cutting x-axis at (-4, 0), (-2, 0), (1, 0) and (3, 0). So, the zeros of polynomial are -4, -2, 1 and 3. Hence, the correct option is (A).

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.

10th Maths Chapter 2 Case Study – 4

The shape of the poses shown is

The pose shown above are in the format of parabola. Hence, the correct option is (D).

The graph of parabola opens downwards, if

The zeroes of the quadratic polynomial 4√3 x² + 5x – 2√3 are.

Given polynomial: 4√3 x² + 5x – 2√3 = 4√3 x² + 8x – 3x – 2√3 = 4x (√3x + 2) – √3 (√3x + 2) = (√3x + 2) (4x – √3) Putting (√3x + 2) (4x – √3) = 0 x = -2/√3 or x = √3/4 Hence, the correct option is (B).

Observe the following graph:

Class 10 Maths Chapter 2 MCQ Case study

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

The graph of the polynomial cutting the x-axis at two distinct points. So, it has two zeros. Hence, the correct option is (C).

The two zeroes in the above shown graph are

The graph of the polynomial cutting x-axis at (-2, 0) and (4, 0). So, the zeros of polynomial are -2 and 4. Hence, the correct option is (B).

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.

10th Maths Chapter 2 Case Study – 5

The shape of the path traced shown is

The graph of parabola opens upwards, if.

Observe the following graph and answer:

Class 10 Maths Chapter 2 MCQ based on Case Study

The graph of the polynomial cutting the x-axis at three distinct points. So, it has three zeros. Hence, the correct option is (D).

The three zeroes in the above shown graph are

The graph of the polynomial cutting x-axis at (-3, 0), (-1, 0) and (2, 0). So, the zeros of polynomial are -3, -1 and 2. Hence, the correct option is (C).

What will be the expression of the polynomial?

The zeros of polynomial are -3, -1 and 2. Let α = -3, β = -1 and γ = 2 So, α + β + γ = -3 + (-1) + 2 = – 4 + 2 = -2 αβ + βγ + αγ = (-3)(-1) + (-1)(2) + (2)(-3) = 3 – 2 – 6 = – 5 αβγ = (-3)(-1)(2) = 6 Equation of polynomial = x³ – (α + β + γ) x² + (αβ + βγ + αγ) x – αβγ = x³ – (-2)x² + (- 5)x – 6 = x³ + 2x² – 5x – 6

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Class 10 Maths Case Study Questions Chapter 2 Polynomials

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Case study Questions in the Class 10 Mathematics Chapter 2  are very important to solve for your exam. Class 10 Maths Chapter 2 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 2  Polynomials

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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.

Polynomials Case Study Questions With Answers

Here, we have provided case-based/passage-based questions for Class 10 Maths  Chapter 2 Polynomials

Case Study/Passage-Based Questions

Question 1:

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 indoors on a court made out of wood. The projectile (path traced) of soccer ball and basketball are in the form of a parabola representing quadratic polynomial.

Study Rate

1. The shape of the path traced shown is

d) Parabola

Answer: d) Parabola

2. The graph of parabola opens upwards, if _______

b) a < 0

c) a > 0

Answer: c) a > 0

3. Observe the following graph and answer

Study Rate

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) x3 + 2×2 – 5x – 6

case study questions for class 10 maths

Answer: (b) parabolic

(ii) The expression of the polynomial represented by the graph is

Answer: (c) x2-36

(iii) Find the value of the polynomial represented by the graph when x = 6.

Answer: (c) 0

(iv) The sum of zeroes of the polynomial x 2  + 2x – 3 is

Answer: (b) -2

(v) If the sum of zeroes of polynomial at 2  + 5t + 3a is equal to their product, then find the value of a.

Answer:  (d) −53

Hope the information shed above regarding Case Study and Passage Based Questions for Class 10 Maths Chapter 2 Polynomials with Answers Pdf free download has been useful to an extent. If you have any other queries about CBSE Class 10 Maths Polynomials 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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Case Study on Polynomials Class 10 Maths PDF

The passage-based questions are commonly known as case study questions. Students looking for Case Study on Polynomials Class 10 Maths can use this page to download the PDF file. 

The case study questions on Polynomials are based on the CBSE Class 10 Maths Syllabus, and therefore, referring to the Polynomials case study questions enable students to gain the appropriate knowledge and prepare better for the Class 10 Maths board examination. Continue reading to know how should students answer it and why it is essential to solve it, etc.

Case Study on Polynomials Class 10 Maths with Solutions in PDF

Our experts have also kept in mind the challenges students may face while solving the case study on Polynomials, therefore, they prepared a set of solutions along with the case study questions on Polynomials.

The case study on Polynomials Class 10 Maths with solutions in PDF helps students tackle questions that appear confusing or difficult to answer. The answers to the Polynomials case study questions are very easy to grasp from the PDF - download links are given on this page.

Why Solve Polynomials Case Study Questions on Class 10 Maths?

There are three major reasons why one should solve Polynomials case study questions on Class 10 Maths - all those major reasons are discussed below:

  • To Prepare for the Board Examination: For many years CBSE board is asking case-based questions to the Class 10 Maths students, therefore, it is important to solve Polynomials Case study questions as it will help better prepare for the Class 10 board exam preparation.
  • Develop Problem-Solving Skills: Class 10 Maths Polynomials case study questions require students to analyze a given situation, identify the key issues, and apply relevant concepts to find out a solution. This can help CBSE Class 10 students develop their problem-solving skills, which are essential for success in any profession rather than Class 10 board exam preparation.
  • Understand Real-Life Applications: Several Polynomials Class 10 Maths Case Study questions are linked with real-life applications, therefore, solving them enables students to gain the theoretical knowledge of Polynomials as well as real-life implications of those learnings too.

How to Answer Case Study Questions on Polynomials?

Students can choose their own way to answer Case Study on Polynomials Class 10 Maths, however, we believe following these three steps would help a lot in answering Class 10 Maths Polynomials Case Study questions.

  • Read Question Properly: Many make mistakes in the first step which is not reading the questions properly, therefore, it is important to read the question properly and answer questions accordingly.
  • Highlight Important Points Discussed in the Clause: While reading the paragraph, highlight the important points discussed as it will help you save your time and answer Polynomials questions quickly.
  • Go Through Each Question One-By-One: Ideally, going through each question gradually is advised so, that a sync between each question and the answer can be maintained. When you are solving Polynomials Class 10 Maths case study questions make sure you are approaching each question in a step-wise manner.

What to Know to Solve Case Study Questions on Class 10 Polynomials?

 A few essential things to know to solve Case Study Questions on Class 10 Polynomials are -

  • Basic Formulas of Polynomials: One of the most important things to know to solve Case Study Questions on Class 10 Polynomials is to learn about the basic formulas or revise them before solving the case-based questions on Polynomials.
  • To Think Analytically: Analytical thinkers have the ability to detect patterns and that is why it is an essential skill to learn to solve the CBSE Class 10 Maths Polynomials case study questions.
  • Strong Command of Calculations: Another important thing to do is to build a strong command of calculations especially, mental Maths calculations.

Where to Find Case Study on Polynomials Class 10 Maths?

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RBSE Class 10 Maths Model Paper 2024, Important Questions_0.1

RBSE Class 10 Maths Model Paper 2024, Important Questions

The RBSE Class 10 Maths Model Paper 2024 is given here along with important questions. Download RBSE 10th Maths Model Paper 2024 PDF to score good marks. Know Rajasthan Board 10th Maths Paper Pattern

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The Rajasthan Board of Secondary Education (RBSE) is going to conduct the RBSE Class 10 Maths exam on March 27, 2024. For this purpose, the Rajasthan Board has provided students with the RBSE Class 10 Maths Model Paper 2024. Along with the model paper, students can also get some important questions for the Rajasthan Board 10th class Mathematics board exam. The Rajasthan Board 10th Mathematics exam is compulsory for every students studying in 10th grade.

RBSE Class 10 Maths Model Paper 2024

The RBSE Class 10 Maths Model Paper 2024 has been released by the Board of Secondary Education, Rajasthan (BSER) before the board exam. The Rajasthan Board Class 10 Math Model Question Paper 2024 features different types of questions that are most likely to be asked in the actual board paper. The RBSE Class 10th Mathematics Model Question 2024 Paper consists of a range of diverse and challenging questions designed according to the actual exam pattern.

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RBSE Class 10th Maths Sample Paper

The Rajasthan Board Class 10th sample question paper 2024 has been formulated in both the English and Hindi language, just like the actual board paper. Students taking the class 10 math final exam can tackle these sample questions to better grasp the question paper format. Students will gain an understanding of the types of questions and themes that are important by practicing these questions. Solving these problems allows students to establish an effective time management approach for their final exam.

The RBSE 10th Class Mathematics sample paper is formulated by the expert board members who are also given the task of formulating the board exam paper. So it is highly likely that the questions featuring in the model paper can be asked in the exam as it is or with slight modifications. In the previous years’ exam papers too, the questions have been taken from the sample paper. Therefore, candidates advised to solve the Mathematics model paper with seriousness.

Check: Rajasthan Board Class 10 Date Sheet 2024

Rajasthan Board 10th Maths Important Questions

Some of the most important questions for the RBSE 10th Maths final exam 2024 is given below. Students should revise these questions to score excellent marks.

Q) Is it possible to make a mango orchard whose length is twice the width and its area is 800 square meters? It yes, find its length and width. 

Q)  Find two consecutive positive integers whose sum of squares is 365. 

Q) Find the ratio in which the point (-3, P) divides the points (-5, -4) and (-2. 3). Also find the value of P?

Q)  Prove that the opposite of a quadrilateral circumscribed about a circle sides subtend angles Complement on center front arms. 

Q) The first term and last term of A.P. is 1 and 11 respectively. If the sum of its terms is 36 then find the number of terms.

Q) Two dice are thrown simultaneously. What is the probability that – i. Equal marks will be obtained in both the dice. ii. The sum of the numbers of both the dice will be 7.

Q) A chord of a circle of radius 12 cm subtends an angle of 60° at the centre. Find the areas of the corresponding minor and major circle segments.

Q) The length of a wall is 5 meters, width is 30 cm and height is 3 meters. How many bricks measuring 20 cm x 10 cm x 7.5 cm will be required to build a wall?

Q) The shadow of a tower standing on a level ground becomes 40 meters longer when the angle of elevation of the Sun decreases from 60° to 30°, find the height of the tower. 

Q) The value of the angle of each quadrant of a circle is- (a) 30° (b) 45° (c) 60° (d) 90° 

RBSE Class 10 Maths Model Paper 2024, Important Questions_4.1

RBSE 10th Maths Question Paper 2024 Pattern

Students must know the Rajasthan Board 10th class maths exam paper pattern in advance so that they can perform well. The Rajasthan Board Class 10 Maths Question paper 2024 has a total of 22 questions. The question paper for Maths subject contains 4 sections in total. The sections present in the Rajasthan Class 10th mathematics question paper are Section A, Section B, Section C, and Section D. The sections are divided on the basis of question type and marks allocated for each question. The detailed pattern for each section of the question paper is given below.

  • The section A of the question paper consists of objective type questions. This section contains multiple choice questions, fill in the blanks and very short answer type questions. Each question in this section is worth 1 mark. There are 3 questions in this section with multiple sub-questions.
  • The section B of the question paper comprise short answer type questions worth 2 marks each. There are 12 questions in this section from Question Number 4 to 15.
  • The section C of the math question paper contains 4 questions from question number 16 to 19. The marks for each question of this section is 3. Questions in this part of the exam paper are short answer type.
  • The RBSE 10th Maths question paper’s section D contains long answer type questions. There are three questions in this section from Question Number 20 to 22. Each question of this section is worth 4 marks.

Unit Wise Weightage for RBSE Maths Class 10 Question Paper 2024

Students can check the unit-wise weightage of topics to plan their exam study accordingly. The weightage assigned to the unit clearly shows the significance of the specific topics.

RBSE Sample Paper 2024 Class 10 PDF Download Maths

The RBSE 10th Maths Model Question Paper 2024 is provided below for class 10 board students. Students must solve the questions given in the model question paper with full honesty so that they can score excellent marks in the board exam. The model question paper pdf for the mathematics subject mentioned here is the exact copy of the board exam paper.

RBSE Class 10 Maths Model Question Paper 2024 PDF

RBSE Class 10 Maths Question Paper 2024

The questions asked in the Rajasthan Board 10th Maths question paper on 27 March 2024 will be given below for students in the PDF format. The question paper PDF provided here can be used as a reference for checking their answers with the help of the answer key. The question paper can be downloaded after the conclusion of the examination on the exam day itself. Students should keep checking this page to get the RBSE Class 10 Maths question paper 2024.

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RBSE Class 10 Maths Board Paper Answer Key 2024

The Rajasthan Board Class 10th Maths answer key for the questions present in the March board exam question paper is provided here for students. The answers mentioned here is formulated by expert teachers, so that students can get the correct answer for all the questions. By going through the answer key, students will be able to calculate their overall marks for the Mathematics exam paper. The answer key will be made available after the conclusion of the exam.

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What is the total number of questions in the RBSE 10th class Mathematics exam paper?

The RBSE 10th Mathematics exam paper has a total of 22 questions with multiple sub-questions.

Does the Rajasthan Board 10th Mathematics exam paper contains multiple choice questions?

Yes, the Rajasthan Board 10th Mathematics exam paper contains 20 multiple choice questions.

How many sections does the RBSE 10th Maths question paper has?

The RBSE 10th maths question paper has 4 sections from Section A to Section D.

Where can students download the Rajasthan 10th Maths Model Paper 2024?

Students can download the Rajasthan Board 10th Maths model question paper 2024 from the above article.

How many marks are allocated for the RBSE class 10th Maths question paper 2024?

The RBSE Class 10 Maths theory exam paper is held for 80 marks.

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case study questions for class 10 maths

CBSE Class 10 Mathematics paper was easy but lengthy with questions from NCERT

T he CBSE board exam 2024 began for both Classes 10 and 12 on February 15 and the Class 10 Mathematics paper was held on March 11. Students said that the Math paper was of easy to moderate level in difficulty.

The paper was a little lengthy but not so much that students couldn't complete it. Several students noted that the long answer questions or case studies were a little tough.

Questions were given from the NCERT and Exemplar questions. Those who had prepared well found the paper moderately easy.

WHAT TEACHERS HAVE TO SAY

"The CBSE Class 10 Mathematics paper maintained an easy to moderate difficulty level, effectively testing students' application and problem solving skills," says Jayant Kumar, TGT Mathematics, Seth Anandram Jaipuria School, Lucknow.

"Students who had a good grasp of core concepts found the paper manageable, although some areas were noted to be tricky," he says.

"Overall, the exam was aligned with the sample paper format and marking scheme, offering a mix of easy and engaging questions," he adds.

The Class 10  Mathematics paper received positive feedback from both students and teachers, aligning well with CBSE sample papers. The timely completion by students and the ease of the case study-based questions suggest a well-balanced and accessible paper," says Harmeet Kaur, HOD Mathematics at Silverline Prestige School, Ghaziabad 

"The provision of appropriate choices in the paper further contributed to student satisfaction, reflecting a successful examination," Kaur adds.

"The CBSE Class 10 Math question paper was easier than the CBSE Class 10 sample question paper. The paper was not lengthy at all, Most students felt Section-E was not difficult but time-consuming," says Ajit Pratap Singh, PGT Maths,  KIIT World School, Gurugram.

"The questions on the exam ranged in difficulty from easy and done within 3 hours. Case study based questions required students to use some extra effort and time but they were easy," he adds.

"The CBSE class 10 Basic Math paper struck a moderate balance. It featured logical questions that required a comprehensive understanding of the chapters. One question was from an exercise that had been removed from the NCERT," says Ajay Pal Singh, Principal of Bhai Parmanand Vidya Mandir.

"Section A presented an easy level . Section B was comparatively simpler, whereas Sections C and D posed an above average challenge, demanding careful reading of the questions. Despite being sourced from NCERT, the questions proved to be of a challenging difficulty level," Singh says. 

"Section E attained  a moderate difficulty level. The exam's design, aimed at assessing students' competency, was challenging. Overall, it encompassed various types and topics of Mathematics," he adds.

CBSE Class 10 Mathematics paper was easy but lengthy with questions from NCERT

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AP Class 10 Maths Important Questions for Board Exam 2024, Free PDF Download

Ap ssc maths important questions: get important questions to prepare for ap ssc class 10 maths exam 2024. check questions of 1, 2 and 4 marks to practise important questions and secure good marks in the mathematics exam..

Gurmeet Kaur

AP Class 10 Maths Important Questions 2024

1 mark important questions.

1.Find the value of Log x √x.

2.If HCF (306, 657) = 9, find LCM.

3.If the prime factorization of natural number (n) is 2 3 x3 2 x5 2 x7. How many consecutive zeroes will it have at the end of it justify your answer?

4.If log 2  (x 2 -4x+7)=2 find the value of'x'.

5.If n(AUB)=51,n(A)=20, n(B)=44 then find n(A∩B)

6.If A={0,1,2}, B={2,4} find n(AUB)

7.Is 1/(x-1) a polynomial? Justify your answer.

8.The number of skirts is two less than twice the number of pants purchased. Also the number of skirts is four less than for times the number of pants purchased. Express this data in the form of a linear equation.

9.Check whether the pair of linear equations 2x+y-5 = 0 and 3x-2y-4 = 0 intersecting, parallel, or coincident lines?

10.The sum of the reciprocals of Rehman's ages (in years) 3 year ago and 5 years from now is 1/3. Find his present age.

11.Find the value of k for 2x 2 -kx+3=0,so that it has two equal roots ?

12.Evaluate cos36cos54 - sin36 sin54?

2 Mark Important Questions

1.Why 6 n +5 n  always end with 1? Explain

2.Prove that log a a=1

3.A number when divided by 61 gives 21 as quotient and 32 as remainder find the number.

4.Represent AUB, A∩B, A-B, B-A, A⊆B, B⊆A, A⊆B⊆C as Venn Diagrams

5.If A={1,2,3,4}, B= {1,2,3,5,6} then find A∩B and B∩A. Are they equal?

6.(i) If A={1,2,3},B={3,4,5}

(ii) A= (3,4,5,6,7}, B= {1,6,7,8,9} then verify n(AU B)=n(A)+n(B)-n(A-B)

7.Why are ¼ and - 1 zeroes of the polynomials p(x) = 4x 2  + 3х- 1?

8.Find quadratic polynomial whose zeroes are 2 and -1/3 respectively?

10.The difference of squares of two numbers is 180, the square of the smaller number is 8 times the larger number. Find the two numbers.

11.Find the roots of the equation

x + 1/x = 4(1/4), x≠0.

12.Find the 10th term of the AP 5, 1, -3, -7, ……………

13.Find x so that x, x+2, x+6 are consecutive terms of GP?

14.Subbarao started work in 1995 at annual salary of Rs.5000 received an increment of and Rs. 206 each year. In which year did his income reach Rs.7000?

15.A sphere, a cylinder and a cone are of the same radius and same height. Find the ratio of their curved surface areas?

16.If sin(A-B)= ½ and cos(A+B) = ½ find A and B.

17.Find 'X' if the median of the observations in ascending order is

4 Mark Important Questions

1.(i) If x 2 +y 2 =25xy then show that 21og(x+y)=3log3+logx+logy

(ii)x 2 +y 2 =6xy then show that 2log(x+y)=3log2+logx+logy

2.(2.3) x =(0.23) Y  = 1000 then find the value of (1/x)-(1/y)

3.Show that a positive odd integer is of the form 4q+1 or 4q+3 where q is integer

4.Which of the following are sets? Justify

(i) the collection of all months of a year beginning with "j" (ii) The collection of ten most talented writers of India.

(iii) A team of eleven best cricket batsmen of the world.

(iv) The collection of all boys In your class

(v) the collection of all even

5.Find all the zeroes of 2x 4  - 3x 3  - 3x 2  + 6x- 2, if you know that two of its zeroes are √2 and - √2.

6.Verify that 1, -1 and - 3 are the zeroes of the cubic polynomial x 3  + 3x 2  - x - 3 and check the relationship between zeroes and the coefficients.

7.A boat goes 30km upstream and 44km downstream in 10hrs in 13hrs it can go 40km upstream and 55km downstream. Determine the speed of the stream and that of the boat in still water.

8.2 women and 5 men can together finish an embroidery work in 4 days while 3 women and 6 men can finish it in 3 days. Find the time taken by 1 woman alone and 1 man alone to finish the work.

9.Solve 2/3 + 3/y  = 13 and 5/x - 4/y = -2.

10.Solve 3x+2y = 5 and 2x-2y = 7 graphically?

11.In a competitive exam, 3 marks are to awarded for every correct answer and for every wrong answer, 1 mark will ba deducted. Madhu scored 40 marks in this exam. Had 4 marks been awarded for each correct answer and 2 marks deducted for each incorrect answer, Madhu would have scored 50 marks. How many questions were there in/the test? (Madhu attempted all the questions)

12.Two water taps together can fill a tank in 9(3/8) hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately find the time in which watch tap can separately fill the tank.

13.A manufacture of TV sets produced 600 sets in the third year and 700 sets in the seventh year. Assuming that the production increases uniformly by a fixed number every year, find

(i) the production in the 1 year?

(ii) the production in the 10 year?

(iii)the total production in 7 years?

15.Find the area of the segments shaded in figure, if PQ=24 cm, PR = 7 cm and QR is the diameter of the circle with centre Q. (Take  π=22/7)

case study questions for class 10 maths

16.Construct a triangle of sides 4cm, 5cm and 6 cm. Then Construct a triangle similar to it, whose sides are 2/3 of corresponding sides of first triangle.

17.If cosecθ + cotθ = k then prove that

cosθ = (k 2  − 1)/(k 2  + 1).

18.A straight high way leads to the foot of the tower. Ramaiah standing at the top of the tower observes a car at angle of depression 30 0 . The car is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the cars is found to be 60 0 . Find the time taken by a car to reach the foot of the tower from this point?

19.A 1.5m tall boy is looking at the top of the temple which is 30m in height from a point at a certain distance. The angle of elevation from his eye to the top of the crown of the temple increases from 30º to 60 0  as he walks towards the temple. Find the distance he walked towards the temple.

20.A die is thrown once. Find the probability of getting:

(i) a prime number

(ii) a number lying between 2 and 6

(iii) an odd number

NCERT Solutions for Class 10 Maths (2023 - 2024) All Chapters, PDF Download

NCERT Book for Class 10 Maths PDF 2023-24

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