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Case Study Questions Class 10 Maths with Solutions PDF Download

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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 class 10 pdf

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

case study questions class 10 pdf

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

More Case Study Questions

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

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 You may get outdated or irrelevant questions there.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

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

How to Solve Case-Based Questions?

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

What are Class 10 competency-based questions?

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

Case Study Questions in Maths Question Paper

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

Case Studies on CBSE’s Official Website

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

10 Maths Case Studies in myCBSEguide App

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

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  • CBSE Class 10 Study Material

CBSE Class 10 Maths Case Study Questions for Chapter 3 - Pair of Linear Equations in Two Variables (Published by CBSE)

Cbse's question bank on case study for class 10 maths chapter 3 is available here. these questions will be very helpful to prepare for the cbse class 10 maths exam 2022..

Gurmeet Kaur

Case study questions are going to be new for CBSE Class 10 students. These are the competency-based questions that are completely new to class 10 students. To help students understand the format of the questions, CBSE has released a question bank on case study for class 10 Maths. Students must practice with these questions to get familiarised with the concepts and logic used in the case study and understand how to answers them correctly. You may check below the case study questions for CBSE Class 10 Maths Chapter 3 - Pair of Linear Equations in Two Variables. You can also check the right answer at the end of each question.

Check Case Study Questions for Class 10 Maths Chapter 3 - Pair of Linear Equations in Two Variables

CASE STUDY-1:

1. If answer to all questions he attempted by guessing were wrong, then how many questions did he answer correctly?

2. How many questions did he guess?

3. If answer to all questions he attempted by guessing were wrong and answered 80 correctly, then how many marks he got?

4. If answer to all questions he attempted by guessing were wrong, then how many questions answered correctly to score 95 marks?

Let the no of questions whose answer is known to the student x and questions attempted by cheating be y

x – 1/4y =90

solving these two

x = 96 and y = 24

1. He answered 96 questions correctly.

2. He attempted 24 questions by guessing.

3. Marks = 80- ¼ 0f 40 =70

4. x – 1/4 of (120 – x) = 95

5x = 500, x = 100

CASE STUDY-2:

Amit is planning to buy a house and the layout is given below. The design and the measurement has been made such that areas of two bedrooms and kitchen together is 95 sq.m.

case study questions class 10 pdf

Based on the above information, answer the following questions:

1. Form the pair of linear equations in two variables from this situation.

2. Find the length of the outer boundary of the layout.

3. Find the area of each bedroom and kitchen in the layout.

4. Find the area of living room in the layout.

5. Find the cost of laying tiles in kitchen at the rate of Rs. 50 per sq.m.

1. Area of two bedrooms= 10x sq.m

Area of kitchen = 5y sq.m

10x + 5y = 95

Also, x + 2+ y = 15

2. Length of outer boundary = 12 + 15 + 12 + 15 = 54m

3. On solving two equation part(i)

x = 6m and y = 7m

area of bedroom = 5 x 6 = 30m

area of kitchen = 5 x 7 = 35m

4. Area of living room = (15 x 7) – 30 = 105 – 30 = 75 sq.m

5. Total cost of laying tiles in the kitchen = Rs50 x 35 = Rs1750

Case study-3 :

It is common that Governments revise travel fares from time to time based on various factors such as inflation ( a general increase in prices and fall in the purchasing value of money) on different types of vehicles like auto, Rickshaws, taxis, Radio cab etc. The auto charges in a city comprise of a fixed charge together with the charge for the distance covered. Study the following situations:

case study questions class 10 pdf

Situation 1: In city A, for a journey of 10 km, the charge paid is Rs 75 and for a journey of 15 km, the charge paid is Rs 110.

Situation 2: In a city B, for a journey of 8km, the charge paid is Rs91 and for a journey of 14km, the charge paid is Rs 145.

Refer situation 1

1. If the fixed charges of auto rickshaw be Rs x and the running charges be Rs y km/hr, the pair of linear equations representing the situation is

a) x + 10y =110, x + 15y = 75

b) x + 10y = 75, x + 15y = 110

c) 10x + y = 110, 15x + y = 75

d) 10x + y = 75, 15x + y = 110

Answer: b) x + 10y = 75, x + 15y = 110

2. A person travels a distance of 50km. The amount he has to pay is

Answer: c) Rs.355

Refer situation 2

3. What will a person have to pay for travelling a distance of 30km?

Answer: b) Rs.289

4. The graph of lines representing the conditions are: (situation 2)

case study questions class 10 pdf

Answer: (iii)

Also Check:

CBSE Case Study Questions for Class 10 Maths - All Chapters

Tips to Solve Case Study Based Questions Accurately

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Case Study Questions for Class 10 Maths Chapter 7 Coordinate Geometry

  • Last modified on: 1 year ago
  • Reading Time: 3 Minutes

Case Study Questions:

Question 1:

The top of a table is shown in the figure given below:

case study questions class 10 pdf

(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 B is (a) 4 units (b) 4 2 units (c) 16 units (d) 32 units

(iii) The coordinates of the mid point of line segment joining points M and Q are (a) (9, 3) (b) (5, 11) (c) (14, 14) (d) (7, 7)

(iv) Which among the following have same ordinate? (a) H and A (b) T and O (c) R and M (d) N and R

(v) If G is taken as the origin, and x, y axis put along GF and GB, then the point denoted by coordinate (4, 2) is (a) H (b) F (c) Q (d) R

case study questions class 10 pdf

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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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Study Rate

Class 10 Maths Case Study Questions Chapter 8 Introduction to Trigonometry

  • Post author: studyrate
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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

Join our Telegram Channel, there you will get various e-books for CBSE 2024 Boards exams for Class 9th, 10th, 11th, and 12th.

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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 class 10 pdf

(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 class 10 pdf

(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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Case Study on Triangles Class 10 Maths PDF

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

The case study questions on Triangles are based on the CBSE Class 10 Maths Syllabus, and therefore, referring to the Triangles 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 Triangles 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 Triangles, therefore, they prepared a set of solutions along with the case study questions on Triangles.

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

Why Solve Triangles Case Study Questions on Class 10 Maths?

There are three major reasons why one should solve Triangles 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 Triangles Case study questions as it will help better prepare for the Class 10 board exam preparation.
  • Develop Problem-Solving Skills: Class 10 Maths Triangles 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 Triangles Class 10 Maths Case Study questions are linked with real-life applications, therefore, solving them enables students to gain the theoretical knowledge of Triangles as well as real-life implications of those learnings too.

How to Answer Case Study Questions on Triangles?

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

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

  • Basic Formulas of Triangles: One of the most important things to know to solve Case Study Questions on Class 10 Triangles is to learn about the basic formulas or revise them before solving the case-based questions on Triangles.
  • 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 Triangles case study questions.
  • Strong Command of Calculations: Another important thing to do is to build a strong command of calculations especially, mental Maths calculations.

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CBSE 10th Standard Maths Subject Circles Case Study Questions With Solution 2021

By QB365 on 22 May, 2021

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

QB365 - Question Bank Software

10th Standard CBSE

Final Semester - June 2015

Case Study Questions

case study questions class 10 pdf

(ii) Which of the following is correct?

(iii) If DR = 7 cm and AD = 11 ern, then AP =

(iv) If O is the centre of the fountain, with \(\angle\) QCR = 60°, then \(\angle\) QOR

(v) Which of the following is correct?

case study questions class 10 pdf

(ii) Number of tangents that can be drawn on a circle is

(iii) Number of tangents that can be drawn to a circle from a point not on it, is

(iv) Number of secants that can be drawn to a circle from a point on it is

(v) A line that touches a circle at only one point is called

case study questions class 10 pdf

(ii) The value of BQ =

(iii) The value of PK =

(iv) The value of QY =

(v) Which of the following is true?

=PA.PK =QB.QK =PX.PK = QA.QB

case study questions class 10 pdf

\((a) 3 \sqrt{5} \mathrm{~cm}\) \((b) 5 \sqrt{5} \mathrm{~cm}\) \((c) 4 \sqrt{5} \mathrm{~cm}\) \((d) 6 \sqrt{5} \mathrm{~cm}\)

case study questions class 10 pdf

(iv) PT is a tangent to a circle with centre 0 and diameter = 40 cm. If PT = 21 cm, then OP =

case study questions class 10 pdf

POQ = 180°
APQ = \(\angle\)PQD = 90°

(ii) If I is a tangent to the circle with centre 0 and line m is passing through 0 intersects the tangent I at point of contact, then

m

(iii) Number of tangents that can be drawn to a circle from a point inside it, is

case study questions class 10 pdf

(v) A parallelogram circumscribing a circle is called a

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

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

case study questions class 10 pdf

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

Here, AS = 5 cm, BT = 4 cm  [ \(\therefore\) Radii of circles] (i) (c): Since, radius at point of contact is perpendicular to tangent. \(\therefore\) By Pythagoras theorem, we have \(P A=\sqrt{P S^{2}+A S^{2}}=\sqrt{12^{2}+5^{2}}=\sqrt{169}=13 \mathrm{~cm}\) (ii) (b): Again by Pythagoras theorem, we have \(B Q=\sqrt{T Q^{2}+B T^{2}}=\sqrt{3^{2}+4^{2}}=\sqrt{25}=5 \mathrm{~cm}\) (iii) (d): PK = PA + AK = 13 + 5 = 18 cm (iv) (c): QY = BQ - BY = 5 - 4 = 1 cm (v) (c): PS 2 = PA 2 - AS 2 = PA 2 - AK 2 = (PA + AK)(PA - AK) = PK.PX [ \(\because\) AK = AX]

case study questions class 10 pdf

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case study based questions class 10 Maths pdf download

Table of Contents

Check case study questions for all chapters of CBSE Class 10 Maths. All the questions (with answers) are published by the CBSE Board itself.

The Central Board of Secondary Education (CBSE) published the case study questions for Class 10 Maths. We have provided the chapter-wise questions for CBSE Class 10 Maths in this article. Students must go through these questions to acquaint themselves with the new format of questions. All these questions are published by the CBSE board hence carry importance for the exam.

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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 class 10 pdf

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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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 class 10 pdf

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
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  • 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
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All CBQ
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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.

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  • Exponents and Powers Class 8 Case Study Questions Maths Chapter 10

Download CBSE and ICSE Books in PDF Format

Last Updated on September 8, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 8 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 8 maths. In this article, you will find case study questions for CBSE Class 8 Maths Chapter 10 Exponents and Powers. It is a part of Case Study Questions for CBSE Class 8 Maths Series.

Exponents and Powers
Case Study Questions
Competency Based Questions
CBSE
8
Maths
Class 8 Studying Students
Yes
Mentioned

Customised Study Materials for Teachers, Schools and Coaching Institute

Table of Contents

Case Study Questions on Exponents and Powers

In a class science teacher give some information to all students about Solar system in following manner. Distance of earth from sun = 149600000 km Mass of earth = 5970000000000000000000000 kg Mass of Mars = 642000000000000000000000000000 kg Mass of sun = 1990000000000000000000000000000 kg Mass of moon = 73500000000000000000000 kg

Now asked them to answer some question.

Q. 1. Write distance of earth from sun in standard form? (a) 1.496×10 8 km (b) 14.96×10 8 km (c) 1.496×10 9 km (d) 14.96×10 9 km

Difficulty Level: Medium

Ans. Option (a) is correct. Explanation: In standard notation we write by using power of 10 so 149600000 km = 1.496 × 10 8 km

Q. 2. Write mass of sun in standard notation? (a) 19.9 × 10 28 kg (b) 1.99 × 10 28 kg (c) 1.99 × 10 30 kg (d) 19.9 × 10 30 kg

Ans. Option (c) is correct.

Q. 3. Mass of earth in standard notation: (a) 5.97 × 10 24 kg (b) 59.7 × 10 24 kg (c) 5.97 × 10 26 kg (d) 59.7 × 10 26 kg

Ans. Option (a) is correct.

Q. 4. Calculate the total mass of earth and moon.

Difficulty Level: Hard

Sol. Mass of earth = 5.97 × 10 24 kg Mass of moon = 7.35 × 10 22 kg Change mass of earth = 597.0 × 10 22 kg Sum of mass of earth and moon = 597.0 × 10 22 + 7.35 × 10 22 = 604.35 × 10 22 kg

Q. 5. Calculate difference of mass of mars from mass of sun?

Sol. Mass of sun = 1.99 × 10 30 kg Change mass of sun = 19.9 × 10 29 kg Mass of mars = 6.42 × 10 29 kg Difference between mass of sun and mass of mars is 19.9 × 1029 kg – 6.42 × 10 29 kg = 13.52 × 10 29 kg Hence, difference between mass of sun and mars =13.52×10 29 kg.

  • Mensuration Class 8 Case Study Questions Maths Chapter 9
  • Algebraic Expressions and Identities Class 8 Case Study Questions Maths Chapter 8
  • Comparing Quantities Class 8 Case Study Questions Maths Chapter 7
  • Cube and Cube Roots Class 8 Case Study Questions Maths Chapter 6
  • Square and Square Roots Class 8 Case Study Questions Maths Chapter 5
  • Data Handling Class 8 Case Study Questions Maths Chapter 4
  • Understanding Quadrilaterals Class 8 Case Study Questions Maths Chapter 3

Linear Equations in One Variable Class 8 Case Study Questions Maths Chapter 2

Rational numbers class 8 case study questions maths chapter 1, download ebooks for cbse class 8 maths.

  • Rational Numbers Topicwise Worksheet for CBSE Class 8 Maths
  • Linear Equations in One Variable Worksheet for CBSE Class 8 Maths
  • Understanding Quadrilaterals Worksheet for CBSE Class 8 Maths
  • Data Handling Worksheet for CBSE Class 8 Maths
  • Squares and Square Roots Worksheet for CBSE Class 8 Maths
  • Cube and Cube Roots Worksheet for CBSE Class 8 Maths
  • Comparing Quantities Worksheet for CBSE Class 8 Maths
  • Algebraic Expressions and Identities Worksheet for CBSE Class 8 Maths

Topics from which case study questions may be asked

  • Use of Exponents to Express Small Numbers in Standard Form
  • Comparing very large number and very small numbers
  • Powers with negative Exponents
  • Laws of Exponents

When any non-zero integer is multiplied repeatedly with itself, it is called exponential form of the given number.

a b Here, a = base and b = exponent and we read it as ‘a’ raised to the power ‘b’.

Case study questions from the above given topic may be asked.

Frequently Asked Questions (FAQs) on Exponents and Powers Case Study

Q1: what are the important topics covered in chapter 10 exponents and powers for class 8.

A1: The key topics include laws of exponents, simplifying expressions using exponents, powers with negative exponents, and expressing numbers in standard and exponential forms.

Q2: What is an exponent in mathematics?

A2: An exponent refers to the number of times a number, known as the base, is multiplied by itself. For example, in 2 3 , 2 is the base and 3 is the exponent, meaning 2 × 2 × 2 = 8.

Q3: What are the laws of exponents?

A3: – Product law: $a^m \times a^n=a^{m+n}$ – Quotient law: $a^m \div a^n=a^{m-n}$ – Power of a power law: $\left(a^m\right)^n=a^{m \times n}$ – Zero exponent rule: $a^0=1$ (where $a \neq 0$ ) – Negative exponent rule: $a^{-m}=\frac{1}{a^m}$

Q4: How are negative exponents handled?

A4: Negative exponents represent reciprocals. For example, 2 −3 = 1/8​. So, when you have a negative exponent, you convert it into a fraction.

Q5: What is the power of zero?

A5: any non-zero number raised to the power of zero is always equal to 1.

Q6: How do we express large numbers using exponents?

A6: Large numbers are often written using exponents to make them more manageable. For example, 1 billion can be written as 10 9 .

Q7: Why do we use exponents in mathematics?

A7: Exponents simplify the representation and calculation of large or small numbers. They are essential in scientific notation, which is widely used in scientific fields to manage very large or very small values.

Q8: Are there any online resources or tools available for practicing Mensuration case study questions?

A8: We provide case study questions for CBSE Class 8 Maths on our  website . Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit  Physics Gurukul  website. they are having a large collection of case study questions for all classes.

Exponents and Powers Class 8 Case Study Questions Maths Chapter 10

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  1. PDF Real Numbers- Case Study Case Study 1

    REAL NUMBERS- CASE STUDYCASE STUDY 1.To enhance the reading skills of grade X students, the school nominates you and two of. our friends to set up a class library. There are two sectio. s- section A and section B of grade X. There are 32 students. ection A and 36 students in sectionB.What is the minimum number of books you will acquire for the ...

  2. 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 ...

  3. 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.

  4. 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 ...

  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

    Link to Download Case-Study Questions of class 10. Click Here to Download. we also provide complete notes and important questions of class 10 IT CODE 402. On this website, you will find a lot of study materials for the class 10 board examination. Here we provide the best quality study materials for your preparation.

  7. CBSE Class 10 Science Chapter Wise Important Case Study Questions

    As mentioned above, Case Based Questions will carry a total of 12 marks i.e about 15 percent of the total CBSE Class 10 Science marks will come from the Case Study Based Question.

  8. Case Study Class 10 Science Questions and Answers (Download PDF)

    Accurate answers of all the Case-based questions given in the PDF. Case Study class 10 Science 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.

  9. CBSE Class 10 Maths Case Study Questions for Class 10 Maths Chapter 1

    The CBSE Class 10 questions papers of Board Exam 2022 will have questions based on case study. Therefore, students should get familiarised with these questions to do well in their board exam.

  10. Case Study Questions Class 10 Science

    Class 10 Science Sample Papers with case study questions are available in the myCBSEguide App. There are 4 such questions (Q.No.17 to 20) in the CBSE model question paper. If you analyze the format, you will find that the MCQs are very easy to answer. So, we suggest you, read the given paragraph carefully and then start answering the questions.

  11. 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.

  12. CBSE Class 10 Social Science Case Study Questions Download Free PDF

    These CBSE Class 10 Social Science Case Study's have been developed by experienced teachers of cbseexpert.com for benefit of Class 10 students. For CBSE Class 10, the board has decided to introduce a minimum of 30 percent competency-based questions in form of case study questions, MCQs, source-based integrated questions, etc. in the new exam ...

  13. Class 10 Science Case Study Questions PDF Download

    To support your preparation for Class 10 Science examinations, we have created a comprehensive PDF resource containing a collection of case study questions designed specifically for this subject. This PDF includes a variety of case studies covering different topics in Physics, Chemistry, and Biology. It will provide you with ample practice ...

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

    Arithmetic Progressions Case Study Questions With answers. Here, we have provided case-based/passage-based questions for Class 10 Maths Chapter 5 Arithmetic Progressions. Case Study/Passage Based Questions. In a class, the teacher asks every student to write an example of A.P. Two friends Geeta and Madhuri write their progressions as -5, -2 ...

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

    Case study questions for CBSE Class 10 Maths Chapter 3 are available here. CBSE has published these questions on its website cbse.nic.in.

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

    Join our Telegram Channel for Free PDF Download. Join Now! Download Product Brochure (Editable Study Materials) Download Product Brochure. ... Next Case Study Questions for Class 10 Maths Chapter 12 Areas Related to Circles. NCERT Books & Solutions. NCERT Books 2023-24. NCERT Solutions. NCERT Notes. NCERT Exemplar Books.

  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 on Triangles Class 10 Maths PDF

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

  19. CBSE 10th Standard Maths Circles Case Study Questions With Solution

    CBSE 10th Standard Maths Subject Circles Case Study Questions With Solution 2021 Answer Keys. Case Study Questions. (i) (b): Here, OS the is radius of circle. Since radius at the point of contact is perpendicularto tangent. So, \ (\angle\) OSA = 90°. (ii) (d): Since, length of tangents drawn from an external point to a circle are equal.

  20. case study based questions class 10 Maths pdf download

    Check case study questions for all chapters of CBSE Class 10 Maths. All the questions (with answers) are published by the CBSE Board itself. The Central Board of Secondary Education (CBSE) published the case study questions for Class 10 Maths. We have provided the chapter-wise questions for CBSE Class 10 Maths in this article.

  21. Case study questions for CBSE 10th

    Download case study question pdfs for CBSE Class 10th Maths, CBSE Class 10th English, CBSE Class 10th Sciece, CBSE Class 10th SST. As the CBSE 10th Term-1 Board Exams are approaching fast, you can use these worksheets for FREE for practice by students for the new case study formats for CBSE introduced this year.

  22. CBSE Class 10 Science Case Study Questions Download Free PDF

    Case Study Questions Class 10 Science. In board exams, students will find the questions based on assertion and reasoning. Also, there will be a few questions based on case studies. In that, a paragraph will be given, and then the MCQ questions based on it will be asked. Case Study Questions for Chapter 1 Chemical Reactions and Equations.

  23. 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

  24. 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 ...

  25. Exponents and Powers Class 8 Case Study Questions Maths Chapter 10

    Hello students, we are providing case study questions for class 8 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 8 maths.