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Case Study Class 10 Maths Questions

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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.

INUMBER SYSTEMS06
IIALGEBRA20
IIICOORDINATE GEOMETRY06
IVGEOMETRY15
VTRIGONOMETRY12
VMENSURATION10
VISTATISTICS & PROBABILITY11

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 of maths class 10

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

case study questions of maths class 10

  • 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

Link to Download Case-Study Questions of class 10

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

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Case Study Class 10 Maths

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

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

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

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

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

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

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

Case Study Questions Class 10 Maths Chapter 1 Real Numbers

Case Study Questions Class 10 Maths Chapter 2 Polynomials

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

Case Study Questions Class 10 Maths Chapter 4 Quadratic Equations

Case Study Questions Class 10 Maths Chapter 5 Arithmetic Progressions

Case Study Questions Class 10 Maths Chapter 6 Triangles

Case Study Questions Class 10 Maths Chapter 7 Coordinate Geometry

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

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

Case Study Questions Class 10 Maths Chapter 10 Circles

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

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

Case Study Questions Class 10 Maths Chapter 14 Statistics

Case Study Questions Class 10 Maths Chapter 15 Probability

How to Solve Case Study Based Questions Class 10 Maths?

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

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

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

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

Features Of Class 10 Maths Case Study Questions And Answers Pdf

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

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

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

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

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

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case study questions of maths class 10

CBSE 10th Standard Maths Subject Case Study Questions With Solution 2021 Part - II

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 of maths class 10

(ii) Proportional expense for each person is

(iii) The fixed (or constant) expense for the party is

(iv) If there would be 15 guests at the lunch party, then what amount Mr Jindal has to pay?

(v) The system of linear equations representing both the situations will have

case study questions of maths class 10

(ii) Represent the situation faced by Suman, algebraically

(iii) The price of one Physics book is

(iv) The price of one Mathematics book is

(v) The system of linear equations represented by above situation, has

case study questions of maths class 10

(ii) Represent algebraically the situation of day- II.

(iii) The linear equation represented by day-I, intersect the x axis at

(iv) The linear equation represented by day-II, intersect the y-axis at

(v) Linear equations represented by day-I and day -II situations, are

Amit is preparing for his upcoming semester exam. For this, he has to practice the chapter of Quadratic Equations. So he started with factorization method. Let two linear factors of  \(a x^{2}+b x+c \text { be }(p x+q) \text { and }(r x+s)\) \(\therefore a x^{2}+b x+c=(p x+q)(r x+s)=p r x^{2}+(p s+q r) x+q s .\) Now, factorize each of the following quadratic equations and find the roots. (i) 6x 2 + x - 2 = 0

\((a) 1,6\) \((b) \frac{1}{2}, \frac{-2}{3}\) \((c) \frac{1}{3}, \frac{-1}{2}\) \((d) \frac{3}{2},-2\)

(ii) 2x 2 -+ x - 300 = 0

(iii) x 2 -  8x + 16 = 0

(iv) 6x 2 -  13x + 5 = 0

\((a) 2, \frac{3}{5}\) \((b) -2, \frac{-5}{3}\) \((c) \frac{1}{2}, \frac{-3}{5}\) \((d) \frac{1}{2}, \frac{5}{3}\)

(v) 100x 2 - 20x + 1 = 0

\((a) \frac{1}{10}, \frac{1}{10}\) \((b) -10,-10\) \((c) -10, \frac{1}{10}\) \((d) \frac{-1}{10}, \frac{-1}{10}\)

case study questions of maths class 10

(ii) Difference of pairs of shoes in 17 th  row and 10 th row is

(iii) On next day, she arranges x pairs of shoes in 15 rows, then x =

(iv) Find the pairs of shoes in 30 th row.

(v) The total number of pairs of shoes in 5 th and 8 th row is

case study questions of maths class 10

(ii) The number on first card is

(iii) What is the number on the 19 th card?

(iv) What is the number on the 23 rd card?

(v) The sum of numbers on the first 15 cards is 

A sequence is an ordered list of numbers. A sequence of numbers such that the difference between the consecutive terms is constant is said to be an arithmetic progression (A.P.). On the basis of above information, answer the following questions. (i) Which of the following sequence is an A.P.?

(ii) If x, y and z are in A.P., then

(iii) If a 1  a 2 , a 3  ..... , a n are in A.P., then which of the following is true?

+ k, a + k, a + k, , a + k are in A.P., where k is a constant.
k - a , k - a , , k - a are in A.P., where k is a constant.
, ka , ka ..... , ka are in A.P., where k is a constant.

(iv) If the n th term (n > 1) of an A.P. is smaller than the first term, then nature of its common difference (d) is

(v) Which of the following is incorrect about A.P.?

case study questions of maths class 10

- 0.2n - 7.8 - 7.9n + 7.7n - 7.8

(ii) Find the radius of the core.

(iii) S 2 =

(iv) What is the diameter of roll when one tissue sheet is rolled over it?

(v) Find the thickness of each tissue sheet

case study questions of maths class 10

(ii) Distance travelled by aeroplane towards west after   \(1 \frac{1}{2}\)   hr is

(iii) In the given figure, \(\angle\) POQ is 

(iv) Distance between aeroplanes after  \(1 \frac{1}{2}\)   hr is

\((a) 450 \sqrt{41} \mathrm{~km}\) \((b) 350 \sqrt{31} \mathrm{~km}\) \((c) 125 \sqrt{12} \mathrm{~km}\) \((d) 472 \sqrt{41} \mathrm{~km}\)

(v) Area of \(\Delta\) POQ is

case study questions of maths class 10

(ii) The value of x is

(iii) The value of PR is 

(iv) The value of RQ is 

(v) How much distance will be saved in reaching city Q after the construction of highway? 

case study questions of maths class 10

(ii) Length of BC =

(iii) Length of AD =

(iv) Length of ED = 

(v) Length of AE = 

\((a) \frac{2}{3} \times B E\) \((b) \sqrt{A D^{2}-D E^{2}}\) \((c) \frac{2}{3} \times \sqrt{B C^{2}-C E^{2}}\)

case study questions of maths class 10

(ii) The value of x + y is 

(iii) Which of the following is true?

(iv) The ratio in which B divides AC is

(v) Which of the following equations is satisfied by the given points?

case study questions of maths class 10

(ii) The value of x is equal to

(iii) If M is any point exactly in between city A and city B, then coordinates of M are

(iv) The ratio in which A divides the line segment joining the points O and M is

(v) If the person analyse the petrol at the point M(the mid point of AB), then what should be his decision?

case study questions of maths class 10

\(A\left(\frac{2}{3}, 0\right),\) \((b) \left(0, \frac{2}{3}\right)\) \((c) \left(0, \frac{4}{3}\right)\) \((d) \left(\frac{4}{3}, 0\right)\)

(ii) The centre of circle is the

(iii) The radius of the circle is

\((a) \frac{4}{3} units\) \((b) \frac{3}{2} units\) \((c) \frac{2}{3} units\) \((d) \frac{3}{4} units\)

(iv) The area of the circle is

\((a) 16 \pi^{2} sq. units\) \((b) \frac{16}{9} \pi sq. units\) \((c) \frac{4}{9} \pi^{2} sq. units\) \((d) 4 \pi sq. units\)

(v) If  \(\left(1, \frac{\sqrt{7}}{3}\right)\)   is one of the ends of a diameter, then its other end is

\((a) \left(-1, \frac{\sqrt{7}}{3}\right)\) \((b) \left(1,-\frac{\sqrt{7}}{3}\right)\) \((c) \left(1, \frac{\sqrt{7}}{3}\right)\) \((d) \left(-1,-\frac{\sqrt{7}}{3}\right)\)

case study questions of maths class 10

km

(ii) The distance between A and Cis

km  km

(iii) If it is assumed that both buses have same speed, then by which bus do you want to travel from A to B?

(iv) If the fare for first bus is Rs10/km, then what will be the fare for total journey by that bus?

(v) If the fare for second bus is Rs 15/km, then what will be the fare to reach to the destination by this bus?

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Cbse 10th standard maths subject case study questions with solution 2021 part - ii answer keys.

(i) (a): 1 st situation can be represented as x + 7y = 650 ...(i) and 2 nd situation can be represented as x + 11y = 970 ...(ii) (ii) (b): Subtracting equations (i) from (ii), we get  \(4 y=320 \Rightarrow y=80\) \(\therefore\)  Proportional expense for each person is Rs 80. (iii) (c): Puttingy = 80 in equation (i), we get x + 7 x 80 = 650 \(\Rightarrow\) x = 650 - 560 = 90 \(\therefore\)  Fixed expense for the party is Rs 90 (iv) (d): If there will be 15 guests, then amount that Mr Jindal has to pay = Rs (90 + 15 x 80) = Rs 1290 (v) (a): We have a 1  = 1, b 1  = 7, c 1  = -650 and  \(a_{2}=1, b_{2}=11, c_{2}=-970 \) \(\therefore \frac{a_{1}}{a_{2}}=1, \frac{b_{1}}{b_{2}}=\frac{7}{11}, \frac{c_{1}}{c_{2}}=\frac{-650}{-970}=\frac{65}{97}\) \(\text { Here, } \frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}\) Thus, system of linear equations has unique solution.

(i) (a): Situation faced by Sudhir can be represented algebraically as 2x + 3y = 850 (ii) (b): Situation faced by Suman can be represented algebraically as 3x + 2y = 900 (iii) (c) : We have 2x + 3y = 850 .........(i) and 3x + 2y = 900 .........(ii) Multiplying (i) by 3 and (ii) by 2 and subtracting, we get 5y = 750 \(\Rightarrow\)   Y = 150 Thus, price of one Physics book is Rs 150. (iv) (d): From equation (i) we have, 2x + 3 x 150 = 850 \(\Rightarrow\) 2x = 850 - 450 = 400 \(\Rightarrow\) x = 200 Hence, cost of one Mathematics book = Rs 200 (v) (a): From above, we have \(a_{1} =2, b_{1}=3, c_{1}=-850 \) \(\text { and } a_{2} =3, b_{2}=2, c_{2}=-900\) \(\therefore \quad \frac{a_{1}}{a_{2}}=\frac{2}{3}, \frac{b_{1}}{b_{2}}=\frac{3}{2}, \frac{c_{1}}{c_{2}}=\frac{-850}{-900}=\frac{17}{18} \Rightarrow \frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}\) Thus system of linear equations has unique solution.

(i) (b): Algebraic representation of situation of day-I is 2x + y = 1600. (ii) (a): Algebraic representation of situation of day- II is 4x + 2y = 3000 \(\Rightarrow\) 2x + y = 1500. (iii) (c) : At x-axis, y = 0 \(\therefore\)   At y = 0, 2x + y = 1600 becomes 2x = 1600 \(\Rightarrow\) x = 800 \(\therefore\) Linear equation represented by day- I intersect the x-axis at (800, 0). (iv) (d) : At y-axis, x = 0 \(\therefore\) 2x + Y = 1500 \(\Rightarrow\)  y = 1500 \(\therefore\) Linear equation represented by day-II intersect the y-axis at (0, 1500). (v) (b): We have, 2x + y = 1600 and 2x + y = 1500 Since  \(\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}} \text { i.e., } \frac{1}{1}=\frac{1}{1} \neq \frac{16}{15}\) \(\therefore\) System of equations have no solution. \(\therefore\) Lines are parallel.

(i) (b): We have  \(6 x^{2}+x-2=0\) \(\Rightarrow \quad 6 x^{2}-3 x+4 x-2=0 \) \(\Rightarrow \quad(3 x+2)(2 x-1)=0 \) \(\Rightarrow \quad x=\frac{1}{2}, \frac{-2}{3}\) (ii) (c):  \(2 x^{2}+x-300=0\) \(\Rightarrow \quad 2 x^{2}-24 x+25 x-300=0 \) \(\Rightarrow \quad(x-12)(2 x+25)=0 \) \(\Rightarrow \quad x=12, \frac{-25}{2}\) (iii) (d):   \(x^{2}-8 x+16=0\) \(\Rightarrow(x-4)^{2}=0 \Rightarrow(x-4)(x-4)=0 \Rightarrow x=4,4\) (iv) (d):   \(6 x^{2}-13 x+5=0\) \(\Rightarrow \quad 6 x^{2}-3 x-10 x+5=0 \) \(\Rightarrow \quad(2 x-1)(3 x-5)=0 \) \(\Rightarrow \quad x=\frac{1}{2}, \frac{5}{3}\) (v) (a):  \(100 x^{2}-20 x+1=0\) \(\Rightarrow(10 x-1)^{2}=0 \Rightarrow x=\frac{1}{10}, \frac{1}{10}\)  

Number of pairs of shoes in 1 st , 2 nd , 3 rd row, ... are 3,5,7, ... So, it forms an A.P. with first term a = 3, d = 5 - 3 = 2 (i) (d): Let n be the number of rows required. \(\therefore S_{n}=120 \) \(\Rightarrow \quad \frac{n}{2}[2(3)+(n-1) 2]=120 \) \(\Rightarrow \quad n^{2}+2 n-120=0 \Rightarrow n^{2}+12 n-10 n-120=0\) \(\Rightarrow \quad(n+12)(n-10)=0 \Rightarrow n=10\) So, 10 rows required to put 120 pairs. (ii) (b): No. of pairs in 1ih row = t 17 = 3 + 16(2) = 35 No. of pairs in 10th row = t 10  = 3 + 9(2) = 21 \(\therefore\) Required difference = 35 - 21 = 14 (iii) (c) : Here n = 15 \(\therefore\) t 15  = 3 + 14(2) = 3 + 28 = 31 (iv) (a): No. of pairs in 30 th row = t 30 = 3 +29(2) = 61 (v) (c): No. of pairs in 5 th row = t 5  = 3 + 4(2) = 11 No. of pairs in 8 th row = t 8  = 3 + 7(2) = 17 \(\therefore\) Required sum = 11 + 17 = 28

Let the numbers on the cards be a, a + d, a + Zd, ... According to question, We have (a + 5d) + (a + 13d) = -76 \(\Rightarrow\) 2a+18d = -76 \(\Rightarrow\) a + 9d= -38 ... (1) And (a + 7d) + (a + 15d) = -96 \(\Rightarrow\) 2a + 22d = -96 \(\Rightarrow\) a + 11d = -48 ...(2) From (1) and (2), we get 2d= -10 \(\Rightarrow\) d= -5 From (1), a + 9(-5) = -38 \(\Rightarrow\) a = 7 (i) (b): The difference between the numbers on any two consecutive cards = common difference of the A.P.=-5 (ii) (d): Number on first card = a = 7 (iii) (b): Number on 19th card = a + 18d = 7 + 18(-5) = -83 (iv) (a): Number on 23rd card = a + 22d = 7 + 22( -5) = -103 (v) (d):  \(S_{15}=\frac{15}{2}[2(7)+14(-5)]=-420\)

(i) (c) (ii) (c) (iii) (d) (iv) (b) (v) (c)

Here S n = 0.1n 2 + 7.9n (i) (c): S n -1 = 0.1(n - 1) 2 + 7.9(n - 1) = 0.1n 2 + 7.7n - 7.8 (ii) (b): S 1 = t 1  = a = 0.1(1) 2 + 7.9(1) = 8 cm = Diameter of core So, radius of the core = 4 cm (iii) (a): S 2 = 0.1(2) 2 + 7.9(2) = 16.2 (iv) (d): Required diameter = t 2 = S 2 - S 1 = 16.2 - 8 = 8.2 cm (v) (c): As d = t 2 - t 1  = 8.2 - 8 = 0.2 cm So, thickness of tissue = 0.2 \(\div\)   2 = 0.1 cm = 1 mm

(i) (a): Speed = 1200 km/hr \(\text { Time }=1 \frac{1}{2} \mathrm{hr}=\frac{3}{2} \mathrm{hr}\) \(\therefore\)  Required distance = Speed x Time \(=1200 \times \frac{3}{2}=1800 \mathrm{~km}\) (ii) (c): Speed = 1500 km/hr Time =  \(\frac{3}{2}\)  hr. \(\therefore\)  Required distance = Speed x Time \(=1500 \times \frac{3}{2}=2250 \mathrm{~km}\) (iii) (b): Clearly, directions are always perpendicular to each other. \(\therefore \quad \angle P O Q=90^{\circ}\) (iv) (a): Distance between aeroplanes after  \(1\frac{1}{2}\)   hour  \(\begin{array}{l} =\sqrt{(1800)^{2}+(2250)^{2}}=\sqrt{3240000+5062500} \\ =\sqrt{8302500}=450 \sqrt{41} \mathrm{~km} \end{array}\) (v) (d): Area of  \(\Delta\) POQ= \(\frac{1}{2}\) x base x height \(=\frac{1}{2} \times 2250 \times 1800=2250 \times 900=2025000 \mathrm{~km}^{2}\)

(i) (b) (ii) (c): Using Pythagoras theorem, we have PQ 2 = PR 2 + RQ 2 \(\Rightarrow(26)^{2}=(2 x)^{2}+(2(x+7))^{2} \Rightarrow 676=4 x^{2}+4(x+7)^{2} \) \(\Rightarrow 169=x^{2}+x^{2}+49+14 x \Rightarrow x^{2}+7 x-60=0\) \(\Rightarrow x^{2}+12 x-5 x-60=0 \) \(\Rightarrow x(x+12)-5(x+12)=0 \Rightarrow(x-5)(x+12)=0 \) \(\Rightarrow x=5, x=-12\) \(\therefore \quad x=5\)   [Since length can't be negative] (iii) (a) : PR = 2x = 2 x 5 = 10 km (iv) (b): RQ= 2(x + 7) = 2(5 + 7) = 24 km (v) (d): Since, PR + RQ = 10 + 24 = 34 km Saved distance = 34 - 26 = 8 km

(i) (b): If \(\Delta\) AED and \(\Delta\) BEC, are similar by SAS similarity rule, then their corresponding proportional sides are  \(\frac{B E}{A E}=\frac{C E}{D E}\) (ii) (c): By Pythagoras theorem, we have \(\begin{array}{l} B C=\sqrt{C E^{2}+E B^{2}}=\sqrt{4^{2}+3^{2}}=\sqrt{16+9} \\ =\sqrt{25}=5 \mathrm{~cm} \end{array}\) (iii) (a): Since \(\Delta\) ADE and \(\Delta\) BCE are similar. \(\therefore \quad \frac{\text { Perimeter of } \triangle A D E}{\text { Perimeter of } \Delta B C E}=\frac{A D}{B C} \) \(\Rightarrow \frac{2}{3}=\frac{A D}{5} \Rightarrow A D=\frac{5 \times 2}{3}=\frac{10}{3} \mathrm{~cm}\) (iv) (b): \(\frac{\text { Perimeter of } \triangle A D E}{\text { Perimeter of } \Delta B C E}=\frac{E D}{C E} \) \(\Rightarrow \frac{2}{3}=\frac{E D}{4} \Rightarrow E D=\frac{4 \times 2}{3}=\frac{8}{3} \mathrm{~cm}\) (v) (d) :   \(\frac{\text { Perimeter of } \Delta A D E}{\text { Perimeter of } \Delta B C E}=\frac{A E}{B E} \Rightarrow \frac{2}{3} B E=A E\) \(\Rightarrow A E=\frac{2}{3} \sqrt{B C^{2}-C E^{2}} \) \(\text { Also, in } \triangle A E D, A E=\sqrt{A D^{2}-D E^{2}}\)

case study questions of maths class 10

(i) (a): We have, OA = 2 \(\sqrt{2}\) km \(\Rightarrow \sqrt{2^{2}+y^{2}}=2 \sqrt{2} \) \(\Rightarrow 4+y^{2}=8 \Rightarrow y^{2}=4 \) \(\Rightarrow y=2 \quad(\because y=-2 \text { is not possible })\) (ii) (c): We have OB = 8 \(\sqrt{2}\) \(\Rightarrow \sqrt{x^{2}+8^{2}}=8 \sqrt{2} \) \(\Rightarrow x^{2}+64=128 \Rightarrow x^{2}=64 \) \(\Rightarrow x=8 \quad(\because x=-8 \text { is not possible })\) (iii) (c) : Coordinates of A and Bare (2, 2) and (8, 8) respectively, therefore coordinates of point M are \(\left(\frac{2+8}{2}, \frac{2+8}{2}\right)\) i.e .,(5.5) (iv) (d): Let A divides OM in the ratio k: 1.Then \(2=\frac{5 k+0}{k+1} \Rightarrow 2 \mathrm{k}+2=5 k \Rightarrow 3 k=2 \Rightarrow k=\frac{2}{3}\) \(\therefore\) Required ratio = 2 : 3 (v) (b): Since M is the mid-point of A and B therefore AM = MB. Hence, he should try his luck moving towards B.

(i) (c): Required coordinates are  \(\left(0, \frac{4}{3}\right)\) (ii) (c) (iii) (a): Radius = Distance between (0,0) and  \(\left(\frac{4}{3}, 0\right)\) \(=\sqrt{\left(\frac{4}{3}\right)^{2}+0^{2}}=\frac{4}{3} \text { units }\) (iv) (b): Area of circle = \(\pi\) (radius) 2 \(=\pi\left(\frac{4}{3}\right)^{2}=\frac{16}{9} \pi \text { sq. units }\) (v) (d): Let the coordinates of the other end be (x,y). Then (0,0) will bethe mid-point of  \(\left(1, \frac{\sqrt{7}}{3}\right)\)  and (x, y). \(\therefore\left(\frac{1+x}{2}, \frac{\frac{\sqrt{7}}{3}+y}{2}\right)=(0,0) \) \(\Rightarrow \frac{1+x}{2}=0 \text { and } \frac{\frac{\sqrt{7}}{3}+y}{2}=0 \) \(\Rightarrow x=-1 \text { and } y=-\frac{\sqrt{7}}{3}\) Thus, the coordinates of other end be  \(\left(-1, \frac{-\sqrt{7}}{3}\right)\)

Coordinates of A, Band Care (-2, -3), (2, 3) and (3,2). (i) (d): Required distance  \(=\sqrt{(2+2)^{2}+(3+3)^{2}}\) \(=\sqrt{4^{2}+6^{2}}=\sqrt{16+36}=2 \sqrt{13} \mathrm{~km} \approx 7.2 \mathrm{~km}\) (ii) (d): Required distance  \(=\sqrt{(3+2)^{2}+(2+3)^{2}}\) \(=\sqrt{5^{2}+5^{2}}=5 \sqrt{2} \mathrm{~km}\) (iii) (b): Distance between Band C \(=\sqrt{(3-2)^{2}+(2-3)^{2}}=\sqrt{1+1}=\sqrt{2} \mathrm{~km}\) Thus, distance travelled by first bus to reach to B \(=A C+C B=5 \sqrt{2}+\sqrt{2}=6 \sqrt{2} \mathrm{~km} \approx 8.48 \mathrm{~km}\) and distance travelled by second bus to reach to B \(=A B=2 \sqrt{13} \mathrm{~km} \approx 7.2 \mathrm{~km}\) \(\therefore\)  Distance of first bus is greater than distance of the second bus, therefore second bus should be chosen. (iv) (d): Distance travelled by first bus = 8.48 km \(\therefore\) Total fare = 8.48 x 10 = Rs 84.80 (v) (b): Distance travelled by second bus = 7. 2 km \(\therefore\) Total fare = 7.2 x 15 = Rs 108  

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Class 10 Maths Case Study Questions Chapter 8 Introduction to Trigonometry

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Case study Questions in the Class 10 Mathematics Chapter 8  are very important to solve for your exam. Class 10 Maths Chapter 8 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 8  Introduction to Trigonometry

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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.

Introduction to Trigonometry Case Study Questions With Answers

Here, we have provided case-based/passage-based questions for Class 10 Maths  Chapter 8 Introduction to Trigonometry

Case Study/Passage-Based Questions

Question 1:

case study questions of maths class 10

(a) 2m(b) 3m(c) 4m(d) 6m

Answer: (d) 6m

(ii) Measure of ∠A =

(a) 30°(b) 60°(c) 45°(d) None of these

Answer: (c) 45°

(iii) Measure of ∠C =

(iv) Find the value of sinA + cosC.

(a) 0(b) 1(c) 1/2(d) 2√2

Answer: (d) 2√2

(v) Find the value of tan 2 C + tan 2  A.

(a) 0(b) 1(c) 2(d) 1/2

Answer: (c) 2

Question 2:

case study questions of maths class 10

(a) 30°(b) 45°(c) 60°(d) None of these

Answer: (a) 30°

(ii) The measure of  ∠C is

Answer: (c) 60°

(iii) The length of AC is 

(a)2√3 m(b)√3m(c)4√3m(d)6√3m

Answer: (d)6√3m

(iv) cos2A =

(a) 0(b)1/2(c)1/√2(d)√3/2

Answer: (b)1/2

Hope the information shed above regarding Case Study and Passage Based Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry with Answers Pdf free download has been useful to an extent. If you have any other queries about CBSE Class 10 Maths Introduction to Trigonometry 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 Real Numbers Free PDF

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Mere Bacchon, you must practice the CBSE Case Study Questions Class 10 Maths Real Numbers  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 Real Numbers PDF

Mcq set 1 -, mcq set 2 -, checkout our case study questions for other chapters.

  • Chapter 2: Polynomials Case Study Questions
  • Chapter 3: Pair of Linear Equations in Two Variables Case Study Questions
  • Chapter 4: Quadratic Equation Case Study Questions
  • Chapter 5: Arithmetic Progressions Case Study Questions

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Class 10 Maths: Case Study Questions of Chapter 4 Quadratic Equations PDF

Case study Questions on the Class 10 Mathematics Chapter 4  are very important to solve for your exam. Class 10 Maths Chapter 4 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving case study-based questions for Class 10 Maths Chapter 4 Quadratic Equations

case study questions of maths class 10

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.

Quadratic Equations Case Study Questions With answers

Here, we have provided case-based/passage-based questions for Class 10 Maths  Chapter 4 Quadratic Equations

Case Study/Passage Based Questions

1)Formation of Quadratic Equation

Quadratic equations started around 3000 B.C. with the Babylonians. They were one of the world’s first civilizations and came up with some great ideas like agriculture, irrigation, and writing. There were many reasons why Babylonians needed to solve quadratic equations. For example to know what amount of crop you can grow on the square field. Now represent the following situations in the form of a quadratic equation.

The sum of squares of two consecutive integers is 650. (a) x 2 + 2x – 650 = 0 (b) 2x 2 +2x – 649 = 0 (c) x 2 – 2x – 650 = 0 (d) 2x 2 + 6x – 550 = 0

Answer: (b) 2×2 +2x – 649 = 0

The sum of two numbers is 15 and the sum of their reciprocals is 3/10. (a) x 2 + 10x – 150 = 0 (b) 15x 2 – x + 150 = 0 (c) x 2 – 15x + 50 = 0 (d) 3x 2 – 10x + 15 = 0

Answer: (c) x2 – 15x + 50 = 0

Two numbers differ by 3 and their product is 504. (a) 3x 2 – 504 = 0 (b) x 2 – 504x + 3 = 0 (c) 504x 2 +3 = x (d) x 2 + 3x – 504 = 0

Answer: (d) x2 + 3x – 504 = 0

A natural number whose square diminished by 84 is thrice of 8 more of a given number. (a) x 2 + 8x – 84 = 0 (b) 3x 2 – 84x + 3 = 0 (c) x 2 – 3x – 108 = 0 (d) x 2 –11x + 60 = 0

Answer: (c) x2 – 3x – 108 = 0

A natural number when increased by 12, equals 160 times its reciprocal. (a) x 2 – 12x + 160 = 0 (b) x 2 – 160x + 12 = 0 (c) 12x 2 – x – 160 = 0 (d) x 2 + 12x – 160 = 0

Answer: (d) x2 + 12x – 160 = 0

2)Nature of Roots A quadratic equation can be defined as an equation of degree 2. This means that the highest exponent of the polynomial in it is 2. The standard form of a quadratic equation is ax 2 + bx + c = 0, where a, b, and c are real numbers and a ≠ 0. Every quadratic equation has two roots depending on the nature of its discriminant, D = b 2 – 4ac

Which of the following quadratic equation have no real roots? (a) –4x 2 + 7x – 4 = 0 (b) –4x 2 + 7x – 2 = 0 (c) –2x 2 +5x – 2 = 0 (d) 3x 2 + 6x + 2 = 0

Answer: (a) –4×2 + 7x – 4 = 0

Which of the following quadratic equation have rational roots? (a) x 2 + x – 1 = 0 (b) x 2 – 5x + 6 = 0 (c) 4x 2 – 3x – 2 = 0 (d) 6x 2 – x + 11 = 0

Answer: (b) x2 – 5x + 6 = 0

Which of the following quadratic equation have irrational roots? (a) 3x 2 +2x + 2 = 0 (b) 4x 2 – 7x + 3 = 0 (c) 6x 2 – 3x – 5 = 0 (d) 2x 2 +3x – 2 = 0

Answer: (c) 6×2 – 3x – 5 = 0

Which of the following quadratic equations have equal roots? (a) x 2 – 3x + 4 = 0 (b) 2x 2 – 2x + 1 = 0 (c) 5x 2 – 10x + 1 = 0 (d) 9x 2 + 6x + 1 = 0

Answer: (d) 9×2 + 6x + 1 = 0

Which of the following quadratic equations has two distinct real roots? (a) x 2 + 3x + 1 = 0 (b) –x 2 + 3x – 3 = 0 (c) 4x 2 + 8x + 4 = 0 (d) 3x 2 + 6x + 4 = 0

Answer: (a) x2 + 3x + 1 = 0

Hope the information shed above regarding Case Study and Passage Based Questions for Class 10 Maths Chapter 4 Quadratic Equations with Answers Pdf free download has been useful to an extent. If you have any other queries of CBSE Class 10 Maths Quadratic Equations 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 Questions for Class 10 Maths Chapter 1 Real Numbers

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Question 1:

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

(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)

(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

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

(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

Question 2:

To enhance the reading skills of grade X students, the school nominates you and two of your friends to set up a class library. There are two sections- section A and section B of grade X. There are 32 students in section A and 36 students in section B.

(i) What is the minimum number of books you will acquire for the class library, so that they can be distributed equally among students of Section A or Section B? (a) 144 (b) 128 (c) 288 (d) 272

(ii) If the product of two positive integers is equal to the product of their HCF and LCM is true then, the HCF (32 , 36) is (a) 2 (b) 4 (c) 6 (d) 8

(iii) 36 can be expressed as a product of its primes as (a) (b) (c) (d)

(iv) 7 is a (a) Prime number (b) Composite number (c) Neither prime nor composite (d) None of the above

(v) If p and q are positive integers such that p = a and q= b, where a , b are prime numbers, then the LCM (p, q) is (a) ab (b) a 2 b 2 (c) a 3 b 2 (d) a 3 b 3

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

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CBSE Class 10 Maths Standard Question Paper Set-1 (30/5/1) 2024

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Maths Standard Set-1 (30/5/1) Question Paper for CBSE Class 10 - 2024 with Solutions - Download FREE PDF

Vedantu’s CBSE Class 10 Maths Set-1 (30/5/1) Question Paper 2024 solves all the questions and provides the answers in a PDF format. This question paper is designed to help students to prepare thoroughly for their examinations. It includes various questions covering the CBSE Class 10 Maths Syllabus , ensuring students practise and understand every concept effectively.

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The solutions provided by Vedantu are detailed; by using this question paper and its solutions, students can enhance their problem-solving skills, improve their understanding of mathematical concepts, and gain confidence for the actual examination. Vedantu's CBSE Class 10 Maths Previous Question Paper consists of different sets of papers that help students practise different questions.

Instructions to Follow - CBSE Class 10 Maths Standard Question Paper Set-1 (30/5/1) 2024

Read the following instructions carefully and follow them:

(i) This question paper contains 38 questions. All questions are compulsory.

(ii) Question Paper is divided into five Sections – Section A, B, C, D and E .

(iii) In Section– A question number 1 to 18 are Multiple Choice Questions (MCQs) and question number 19 & 20 are Assertion-Reason based questions of Answer (VSA) type questions of 2 marks each.

(iv) In Section– B questions number 21 to 25 are Very Short Answer (VSA) type questions, carrying 2 marks each.

(v) In Section– C question number 26 to 31 are Short Answer (SA) type questions carrying 3 marks each.

(vi) In Section– D question number 32 to 35 are Long Answer (LA) type Questions carrying 5 marks each.

(vii) In Section– E question number 36 to 38 are Case Study based questions Carrying 4 marks each. Internal choice is provided in 2 marks question in each case study.

(viii)There is no overall choice. However, an internal choice has been provided in 2 questions in Section- B , 2 questions in Section- C , 2 questions in Section- D and 3 questions in Section- E .

(ix) Draw neat diagram wherever required. Take pie =22/7 wherever required not stated.

(x) Use of calculators is not allowed .

Syllabus and Weightage of Units for CBSE Maths Class 10 - Exam 2024-25

For the CBSE Class 10 Maths exam 2024-25, the syllabus is designed to cover key areas including Algebra, Geometry, Trigonometry, and Statistics. Each unit has a specific weightage, emphasizing the importance of topics such as Polynomials, Quadratic Equations, and Coordinate Geometry. Understanding this weightage helps students prioritize their study efforts and focus on the most critical areas of the curriculum.

S.No.

Unit Name

Marks

I

Number System

6

II

Algebra

20

III

Coordinate Geometry

6

IV

Geometry

15

V

Trigonometry

12

VI

Mensuration

10

VII

Statistics & Probability

11


TOTAL

80

Benefits of Solving CBSE Class 10 Maths Standard Question Paper Set-1 (30/5/1) 2024

Solving Class 10 Maths 2024 Set-1 (30/5/1) Question Paper helps students understand the format and types of questions that appear in the exam, making them more comfortable with the main exam.

By working through this question paper, students can recognise which frequently asked topics and focus their revision accordingly.

Practising with this paper helps students improve their time management during the exam, ensuring they can complete all questions within the given time limit.

Regular practice with previous papers builds confidence as students become more familiar with the types of questions and the best ways to answer them.

With continuous practice, students can reduce mistakes and improve their accuracy in solving mathematical problems.

Vedantu’s The Class 10 Maths Standard 2024 Set-1 (30/5/1) Question Paper is a useful material for students. It helps them understand the exam format, identify key topics, improve time management, and build confidence. By practising with this paper, students can assess their strengths and weaknesses, refine their problem-solving skills, and enhance their overall exam performance. It is an essential tool for effective preparation and success in the CBSE Maths exam. 

Class 10 Mathematics Question Paper 2024 Links PDF Download - All Other Sets

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CBSE Class 10 Maths Basic Set-1 (430/4/1) Question Paper 2024

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CBSE Class 10 Maths Basic Set-1 (430/5/1) Question Paper 2024

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Class 10 Mathematics Year-wise Question Papers (2013 - 2024)

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FAQs on CBSE Class 10 Maths Standard Question Paper Set-1 (30/5/1) 2024

1. How many sets of question papers are there in Vedantu’s Class 10 Maths Question Paper 2024?

There are 5 sets of previous question papers of the year 2024 available on the Vedantu website that provide different versions namely CBSE Class 10 Standard Maths Question Paper 2024 With Solutions and CBSE Class 10 Standard Maths Question Paper 2024 With Solutions of the exam for students to practise.

2. Why should I practise with Class 10 Maths Question Paper 2024 PDF?

Practising with these papers helps you understand the exam pattern, improve your ability to answer different types of questions, and improve your time management skills.

3. How can the solutions in Class 10 Maths Question Paper 2024 PDF help me?

Solutions in Vedantu’s Class 10 Maths 2024 Question Paper provide step-by-step explanations for each question, helping you understand concepts better and learn the correct problem-solving approach.

4. Are the Class 10 Maths Question Paper 2024 PDF by Vedantu useful for revision?

Yes, they are excellent for revision. By solving them, you can revise important topics, identify weak areas, and improve your overall preparation for the exam.

5. What type of questions does the CBSE Class 10 Standard Maths Question Paper 2024 With Solutions contain?

The CBSE Class 10 Standard Maths Question Paper 2024 With Solutions includes multiple/choice, short answer, and long answer questions covering all topics in the syllabus.

6. What type of questions does the CBSE Class 10 Standard Maths Question Paper 2024 With Solutions contain?

The CBSE Class 10 Standard Maths Question Paper 2024 with Solutions contains questions focusing on fundamental concepts and practical applications designed for students not pursuing advanced mathematics in their future studies.

7. How do these question papers prepare me for the CBSE exam?

Class 10 Maths 2024 Question Paper helps you prepare for the CBSE exam by giving each section's format, difficulty, and time taken. Practising with them helps you with the exam structure and enhances your readiness.

8. Can I access the Class 10 Maths Question Paper 2024 PDF Download from the Vedantu website for FREE?

Yes, Vedantu provides these papers for free, making them accessible to all students preparing for the Class 10 Maths exam. You can also refer to the Vedantu website for other subject's question papers.

9. What is the purpose of solving the CBSE Class 10 Maths 2024 Question Paper?

Solving these papers helps students understand the exam pattern, practise different types of questions, and assess their preparation level.

10. Does Vedantu Class 10 Maths 2024 Question Paper provide solutions with the question papers?

Yes, Vedantu provides detailed solutions for all the questions in these question papers, helping students understand the correct methods to solve problems.

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Class 10 Maths Case Study Based Questions

case study questions of maths class 10

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Home » Extras » Class 10 Maths Competency Based Questions 2024-25: Download PDF

Class 10 Maths Competency Based Questions 2024-25: Download PDF

Class 10 Maths Competency Based Questions are available for download here on aglasem.com. These Class 10 Competency Based Questions include MCQs, fill in the blanks, short answer questions, long answer questions, and answer key from the Maths curriculum and need you to apply understanding a little beyond the 10th class Maths textbook. For CBSE students, understanding and mastering these questions is crucial for success in Maths exam. Here you will understand what Competency Based Questions for Maths are, how they differ from traditional questions, and get tips on tackling these questions. You can also download Class 10 Competency Based Questions Maths PDF .

Class 10 Maths Competency Based Questions 2024-25

Here you can access a wide array of CBSE Competency Based Questions for the Maths subject. The PDF includes Multiple Choice Questions, Fill in the Blanks, Short Answer Questions, and Long Answer Questions, along with the answer key for class 10 Maths. The Competency Based Questions for Class 10 Maths can be found here.

Class 10 Maths Competency Focused Practice Questions Download Link – Click Here to Download 10 Maths CBQ PDF

Class 10 Maths Competency Based Questions PDF

The complete pdf for competency focused practice questions for Maths is as follows.

case study questions of maths class 10

What are Maths Competency Based Questions?

These are designed to evaluate a student’s understanding of concepts of Maths, their ability to apply knowledge in real-life situations, and their critical thinking skills. Unlike traditional questions that may focus on rote learning or memorization, Competency Focused Questions require students to demonstrate a deeper comprehension of the subject matter (Maths). These questions measure various competencies in the Maths subject, such as problem-solving, logical reasoning, creativity, and subject-specific skills.

For Class 10 Competency Based Questions of Maths , students are expected to think beyond the Maths textbook and demonstrate their skills in a way that aligns with real-world applications.

  • Class 10 Competency Based Questions

In addition to Maths, the Competency Focused Questions for all subjects for students in 10th standard are as follows.

  • Social Science

Other Classes CBQ Download Links

Similarly the class wise CBQ practice question bank for school board are as follows.

  • Class 3 Competency Based Questions
  • Class 4 Competency Based Questions
  • Class 5 Competency Based Questions
  • Class 6 Competency Based Questions
  • Class 7 Competency Based Questions
  • Class 8 Competency Based Questions
  • Class 9 Competency Based Questions

Class 10 Maths Competency Questions  – An Overview

The highlights of this educational resource are as follows.

AspectsDetails
BoardCBSE / State Board
ClassClass 10
SubjectMaths
Study Material HereCompetency Based Question for Class 10 Maths
More CBQ for This Class
All CBQ
Specimen Paper
Previous Year Paper

Competency Based Questions are revolutionizing the way students approach their studies. By focusing on the core competencies required by the CBSE board, students in Class 10 can develop the skills necessary to excel academically and beyond. Whether you are dealing with Class 10 Maths Competency Based Questions or any other subject, remember to focus on understanding, application, and critical thinking.

Start practicing today, and make these questions a core part of your study strategy. The more you engage with these questions, the more confident you’ll become in your ability to tackle any challenge that comes your way!

If you have any queries on 10th Maths Specimen Paper 2025, then please ask in comments below.

To get study material, exam alerts and news, join our Whatsapp Channel .

CBSE Class 12 Question Paper 2024: Download Subject-Wise Previous Year Papers

Competency based questions class 6 – pdf download, related posts, karnataka 2nd puc quarterly exam biology question paper 2024 pdf – download here, karnataka 2nd puc quarterly exam chemistry question paper 2024 pdf – download here, karnataka 2nd puc quarterly exam computer science question paper 2024 pdf – download here, karnataka 2nd puc quarterly exam english question paper 2024 pdf – download here, leave a reply cancel reply, cbse board quick links.

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  • CBSE Class 10

CBSE Class 10 Maths Competency-Based Questions With Answer Key 2024-25: Chapter 7 Coordinate Geometry Free PDF Download

Cbse class 10 maths chapter 7 practice questions 2025: cbse class 10 students download the maths chapter 7 coordinate geometry competency-focused practice questions along with answer key for 2024-25. .

Garima Jha

What are Competency-Focused Practice Questions?

Download volume 3 and 4 of cbse class 10 maths chapter 7 coordinate geometry, cbse class 10 maths chapter 7 competency based-questions .

Shown below are 2 identical rectangles such that their breadth is half their length.
Shown below is a quarter of a circle with centre at (0, 0). An arbitrary point R lies on the boundary of the quadrant.
A circle has its centre at the origin. The radius of the circle is 5 units. 
Arshad was eating chips while working with graph paper. One chip fell on his graph paper as shown below.
Shown below is the map of India put on a coordinate plane where each small square represents 1 sq unit. (Check pdf for image).

Tips to Prepare for CBSE Class 10 Mathematics Examination

1. Mathematics is a subject that demands regular practice. It is important that students practice as much as they can. Practice the questions given at the end of each chapter. Note the points where you get stuck during solving questions. 

2. Students should prepare an effective study plan and give time to all topics on the basis of their strengths and weaknesses. Don’t let your bias towards your favourite chapter affect the time-table. The schedule should also have time for revision. 

3. Students should solve the problems from CBSE Class 10 subject textbook to clear the concepts and strengthen understanding. While solving problems, students should make it a habit to show rough work clearly which will help them in the examination as well. 

CBSE Video Courses for Class 10 Students 

Class 10 students can study effectively for the exams with the help of video courses prepared by the subject matter experts. These video courses will explain the concepts in a simple and interactive manner which will help learners to understand clearly. 

CBSE Class 10 Video Courses 

Also, check

CBSE Class 10 Syllabus 2024-25: Download Latest and Revised FREE PDFs

NCERT Books for Class 10 All Subjects PDF (2024-25)

NCERT Solutions for Class 10 (2024-2025) All Subjects & Chapters: Download in PDF

CBSE Class 10 Maths Mind Maps for Quick Revision

CBSE Class 10 Maths MCQs: Important for 2024-2025 Exams, Download Chapter-Wise PDF

Prime Numbers Notes

Relations and Functions

Polynomial Equations: Concepts, Definition, Formula and Types

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  2. CASE STUDY BASED QUESTIONS CLASS 10 MATHS CHAPTER-1

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  3. Case Study Questions Class 10 Maths Chapter 1 Real Numbers

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COMMENTS

  1. CBSE Class 10 Maths Case Study Questions PDF

    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 ...

  2. CBSE Class 10 Maths Case Study : Case Study With Solutions

    CBSE Board has introduced the case study questions for the ongoing academic session 2021-22. The board will ask the paper on the basis of a different exam pattern which has been introduced this year where 50% syllabus is occupied for MCQ for Term 1 exam. Selfstudys has provided below the chapter-wise questions for CBSE Class 10 Maths.

  3. Case Study Class 10 Maths Questions

    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.

  4. PDF Real Numbers- Case Study Case Study 1

    POLYNOMIALS- CASE STUDY 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.

  5. Class 10 Maths Case Study Questions PDF Download

    In this article, we will provide you with a comprehensive collection of case study questions specifically designed for Class 10 Maths Case Study Questions. Whether you are a student or a teacher, these case study questions will prove to be a valuable resource in your preparation or teaching process. Download Books for Boards.

  6. Case Study Questions Class 10 Maths with Solutions PDF Download

    Case Study Questions Class 10 Maths PDF. In class 10 Board Exam 2021, You will find a new type of case-based questions. This is for the first time when you are going to face these type of questions in the board examination. CBSE has introduced these types of questions to better understand each chapter of class 10 maths.

  7. Important Case Study Questions CBSE Class 10 Maths

    Important Case Study Questions from CBSE Class 10 Maths: CBSE Class 10 Maths board exam 2024 is on March 11, 2024. With the exam approaching fast, CBSE Board exam candidates are trying to cover ...

  8. CBSE Class 10 Maths: Case Study Questions of Chapter 2 ...

    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.

  9. CBSE Class 10 Maths Case Study Questions for Chapter 4 Quadratic

    Case Study Questions for Class 10 Maths Chapter 4 - Quadratic Equations. CASE STUDY 1: Raj and Ajay are very close friends. Both the families decide to go to Ranikhet by their own cars. Raj's ...

  10. CBSE Class 10 Maths Case Study Questions for Maths Chapter 5

    Case Study Questions for Class 10 Maths Chapter 5 - Arithmetic Progression. CASE STUDY 1: India is competitive manufacturing location due to the low cost of manpower and strong technical and ...

  11. Class 10 Maths Case Study Questions of Chapter 1 Real Numbers

    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

  12. Cbse 10th Maths Case Study Questions

    By QB365 on 20 May, 2021. QB365 Provides the updated CASE Study Questions for Class 10 , and also provide the detail solution for each and every case study questions . Case study questions are latest updated question pattern from NCERT, QB365 will helps to get more marks in Exams. Tags: case study questions , cbse case study questions , 10th ...

  13. Case Study Class 10 Maths Questions and Answers (Download PDF)

    Students referring to the Class 10 Maths Case Study Questions And Answers Pdf from Selfstudys will find these features:-. Accurate answers of all the Case-based questions given in the PDF. Case Study class 10 Maths solutions are prepared by subject experts referring to the CBSE Syllabus of class 10. Free to download in Portable Document Format ...

  14. CBSE 10th Standard Maths Case Study Questions With Solution

    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 +91 86828 95000. [email protected].

  15. Class 10 Maths: Case Study Questions of Chapter 5 Arithmetic

    Class 10 Maths Chapter 5 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving case study-based questions for Class 10 Maths Chapter 5 Arithmetic Progressions. In CBSE Class 10 Maths Paper, Students will have to answer some questions based on Assertion and Reason.

  16. CBSE Class 10 Maths Case Study Questions for Chapter 3

    Check Case Study Questions for Class 10 Maths Chapter 3 - Pair of Linear Equations in Two Variables. CASE STUDY-1: A test consists of 'True' or 'False' questions. One mark is awarded for ...

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

    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. Introduction to Trigonometry Case Study Questions With Answers. Here, we have provided case-based/passage-based questions for Class 10 Maths Chapter 8 Introduction to Trigonometry

  18. Case Study Questions for Class 10 Maths Chapter 7 Coordinate Geometry

    Case Study Questions: Question 1: The top of a table is shown in the figure given below: (i) The coordinates of the points H and G are respectively(a) (1, 5), (5, 1) (b) (0, 5), (5, 0) (c) (1, 5), (5, 0) (d) (5, 1), (1, 5) (ii) The distance between the points A and … Continue reading Case Study Questions for Class 10 Maths Chapter 7 Coordinate Geometry

  19. CBSE Case Study Questions for Class 10 Maths Real Numbers Free PDF

    Mere Bacchon, you must practice the CBSE Case Study Questions Class 10 Maths Real Numbers 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.

  20. Class 10 Maths: Case Study Questions of Chapter 4 Quadratic Equations

    Case study Questions on the Class 10 Mathematics Chapter 4 are very important to solve for your exam. Class 10 Maths Chapter 4 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving case study-based questions for Class 10 Maths Chapter 4 Quadratic Equations

  21. Case Study Questions for Class 10 Maths Chapter 1 Real Numbers

    Case Study Questions for Class 10 Maths Chapter 1 Real Numbers. Question 1: 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 ...

  22. CBSE Class 10 Maths Standard Question Paper Set-1 (30/5/1) 2024

    Class 10 Maths Question Paper 2024 Standard Set (30/5/1) with Solutions. Vedantu provides practice sets that cover all topics according to syllabus for effective exam preparation. ... In Section- E question number 36 to 38 are Case Study based questions Carrying 4 marks each. Internal choice is provided in 2 marks question in each case study ...

  23. CBSE Class 10 Maths Case Study Questions for Chapter 9

    Check Case Study Questions for Class 10 Maths Chapter 9: CASE STUDY 1: A group of students of class X visited India Gate on an education trip. The teacher and students had interest in history as well.

  24. Class 10 Maths Case Study Based Questions

    Download Class 10 Maths Case Study Based Questions free from Aglasem Docs. aglasem.com. Login. Number of coins - 0 Login To Add Coins Benefits Welcome Coins ... Maths Question Bank AglaSem Class 10. Save to library Add Notes Download 1 / 1. Updated On : 04 Sep 2024. Save to library 1 / 1.

  25. Class 10 Maths Competency Based Questions 2024-25: Download PDF

    Competency Based Questions are revolutionizing the way students approach their studies. By focusing on the core competencies required by the CBSE board, students in Class 10 can develop the skills necessary to excel academically and beyond. Whether you are dealing with Class 10 Maths Competency Based Questions or any other subject, remember to focus on understanding, application, and critical ...

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    Check Case Study Questions for Class 10 Maths Chapter 7 - Coordinate Geometry. CASE STUDY 1: In order to conduct Sports Day activities in your School, lines have been drawn with chalk powder at a ...

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    The competency-focused questions contain a variety of questions such as free response questions, multiple choice questions and case studies. CBSE has made available the practice questions on its ...