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• CBSE Sample Paper for Class 5 Maths with Solutions - Mock Paper-1 For Better Practice
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CBSE Class 5 Maths Sample Papers Mock Paper 1 (2024-25)

Maths is a subject that requires a lot of practice, and the sample paper for Class 5 Maths will help the students to do that in a very structured manner. It will help them get a stronger grasp of the chapters and answer all the numerical problems confidently. It is purely designed according to the CBSE syllabus guidelines and will give a real examination feeling to the students. Practising the sample papers and solving the problems therein will give the students an opportunity to develop a clear concept of CBSE Class 5 mathematics.

Sample Paper Class 5 Maths: How It Helps

The sample paper of Class 5 Maths covers the entire syllabus of the whole session. It helps an individual to prepare for the exam and help them to work on themselves and their weak points. We would like to offer a piece of advice to all the students and request them to make sure that they solve all the problems and prepare themselves for the exam. Solving these sums regularly will not only help you to practice the sums but also improve your mental ability and increase your interest in the subject.

Benefits of Sample Paper of Class 5 Maths 

The sample paper provided by Vedantu is designed according to the CBSE syllabus and is done with the modern CBSE pattern that will help the students to get a clearer view of the chapters.

CBSE sample papers for Class 5 Maths follow the trend of the past few years and hence, give the students a realistic view of the examination 

The sample papers provided by Vedantu help the students to solve the answers after thinking logically on the presented topic and improve their approach to solving the sums.

There are numerous other advantages of practising maths with sample question papers. It helps improve timing and fast-thinking ability- two crucial things for scoring great marks in maths. Thanks to Vedantu, even students of Class 5 can do that with the help of a freely downloadable Class 5 maths sample paper.

FAQs on CBSE Sample Paper for Class 5 Maths with Solutions - Mock Paper-1 For Better Practice

1. What are the important topics on which the questions of the sample paper for Class 5 Maths based?

Numbers – expanded form, word form, roman numbers, underline numbers, succeeding numbers, preceding numbers.

Mathematical Operations – like HCF, LCM, multiplication, subtraction, addition. 

Area and Perimeter – Important mathematical figures like triangle, rectangle, square, and pentagon.

Miscellaneous – questions on true and false, word problems, and definitions.

These are the important topics that students of grade 5 are going to learn via solving mock paper 1. Once they complete the entire syllabus, they can be encouraged to revise the syllabus so that they won't miss anything in their final examination.

2. What are the advantages of the sample paper of Class 5th maths?

All the sample papers provided here will help the students to solve the problems easily and score good marks in their examinations. 

All the sample papers are created by professionals and are designed to attract the student’s attention.

Solving the sample paper will improve the mental skill of the students. 

The sample paper will develop a schedule for the students.

Thus, these are the key advantages that the students are going to enjoy by preparing the sample paper fully and confidently.

3. Why should I go for Vedantu for CBSE Sample Paper for Class 5 Maths with Solutions - Mock Paper-1? 

Vedantu is the best CBSE Sample Paper for Class 5 Math with Solutions - Mock Paper-1 as it is available according to the student's time, energy, and place. The students can carry on their self-study according to their comfort of attending according to their well-defined timetable. This process instills more confidence and management within students. With good preparation, they are urged to excel in all subjects every single day.  Thus, this is how Vedantu is gaining the love of students all over the globe.

4. What is the total cost of downloading the CBSE Sample Paper for Class 5 Maths with Solutions - Mock Paper-1 from Vedantu? 

If you are going to download CBSE Sample Paper for Class 5 Maths with Solutions - Mock Paper-1 from Vedantu, you are not going to pay a single penny. You only require access to the portal with your unique username and password and there you go. The entire material is available for free that can be useful for your exam preparation.  Thus, this is a simplistic way with which you can avail of the entire study material from Vedantu for free that too as per your ease.

5. For how many hours should I study for the preparation of the CBSE Sample Paper for Class 5 Maths with Solutions - Mock Paper-1? 

Whether you devote 2 or 3 hours to studying CBSE Sample Paper for Class 5 Maths with Solutions - Mock Paper-1, you need to remain strict with it. Maths is a subject which demands more practice than any other subject. So, you should divide your time between learning and revising. Apart from this, you should also focus on learning the formulas and equations required for resolving the sums. If you follow this path, your preparation will be of excellent quality in all manners.

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Get CBSE Class 5 Mathematics study material in PDF format. MyCBSEguide provides solved question papers, annual examination papers, revision notes, worksheets, and NCERT solutions for Class 5 Mathematics. 

CBSE Class 5 Mathematics Study Material & Detailed Syllabus

The upper primary syllabus attempts to highlight or give extra importance to the development of mathematical understanding and thinking in the child. Parents and teachers must be knowing that the upper primary stage is the transitional stage that takes their wards to a world of greater abstraction. At this level, children begin to move from concrete to abstract notions, wherein the child will learn to use and understand mathematical language, including symbols.

CBSE Class 5 Maths syllabus aims to help learners decode mathematics as a discipline. It has been integrated into our experiences and what we come across in our daily lives which may have an abstract basis. All tools that are used in the classroom are to scaffold the learning process at the intermediate stage of learning. The learning process takes a child from the process of generalisation to distinctivness. Helping the child to develop a better understanding of logic and appreciating the notion of proof is also stressed.

CBSE Class 5 Maths Resources

Our resources for Class 5 Maths like syllabus, practice questions, revision notes, test papers, sample papers, worksheets, etc. We also provide learning videos for each chapter where understanding the concepts and their application becomes pretty much easier. The  myCBSEguide App  is known for providing quality study material in all the subjects of CBSE. The senior-level teachers vouch for the sample papers of Mathematics provided by myCBSEguide. We aim to deliver the same quality of content at the junior level as well.

CBSE Class 5 Mathematics Syllabus

Geometry (Shapes and Spatial Understanding)

Numbers (Mental Arithmetic & Fractional Numbers)

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CBSE Class 5 Maths Model Question Papers Test Papers

Leaning is not enough, so our kids need to need their progress. So, here we have all kinds of tests apt for Upper Primary level Mathematics students. The sample question papers for Class 5 Maths provided on  myCBSEguide  are mostly question papers from different schools. We also have a section of previous years' questions where you find assorted questions asked in various schools in various levels of class 5 Maths school examination. The idea is to make the students well aware of all possible question typologies for Class 5 Maths. 

CBSE Class 5 Maths MCQs and Online Tests

Being adept in objective-type questions right from a young age can prove to be extremely useful for students. This is because they will have to sit for various online tests or any other entrance or competitive tests, usually based on MCQs. So why not prepare from the primary stage itself? Our Students' Dashboard allows you to explore the maximum number of objective-type questions for any given chapter of Class 5 Maths. These questions cultivate a habit of time management in the students. You can also practice objective questions, which include MCQs of varied typologies. Download the app to get an experience of these fun tests for your young ones. 

CBSE Class 5 Maths Flashcards, Learning Videos, and CBQs

We at myCBSEguide keep making efforts to make our content most feasible and interesting for the learners. We keep updating as per the latest changes and developments in the curriculum strictly following the guidelines of CBSE . 

Here you can get Class 5 Maths Learning Videos for each chapter and their related topics. Our learning videos help students to understand the subjects conceptually. The Class 5 Mathematics Flashcards on our dashboard make the learning experience more fun as students learn the magic formulas and definitions in the play-way method.

CBSE Class 5 Maths Case Based Questions

The latest modification in the overall curriculum emphasises competency-based learning. Therefore, here we bring some of the finest Case-Based Questions for class 5 Maths which will develop a better understanding of the important chapters.  Some of the best CBSE teachers are associated with us. We assure you quality content in the form of notes and questions for Maths. Our resources will help the learner to get those insights that are generally skipped in simple pen-paper exercises.

The underlying philosophy of the course is to develop the child as being confident and competent in doing mathematics, having the foundations to learn more, and developing an interest in doing Mathematics. The focus is not on giving complicated arithmetic and numerical calculations but to develop a sense of estimation and an understanding of mathematical ideas.

Follow myCBSEguide to get all the relevant study materials for CBSE and other state boards along with ICSE/ICS, JEE and NEET.

• NCERT Solutions for Class 05

CBSE and many other state boards follow NCERT books. Here are NCERT chapter-end questions and their answers for class 5 English, EVS, Hindi, Maths and other subjects. NCERT Solutions – Class 5 NCERT Solutions for Class-5 English NCERT Solutions for Class-5 EVS NCERT Solutions for Class-5 Hindi NCERT Solutions for …

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CBSE Class 5 Worksheets for All Subjects

CBSE Class 5 Worksheets for All Subjects Maths, Science, Social Science, English and Hindi are available in myCBSEguide App for free download. Worksheets help students to practice the concepts. The most important thing about these practice sets is their composition. We know, creating worksheets is a time-consuming task. Sometimes, we …

NCERT Solutions for Class 5 Maths

NCERT Solutions for Class 5 Maths includes all the questions provided in NCERT Books for 5th Class Maths Subject. Here all questions are solved with detailed explanation and available for free to check mycbseguide.com. Book: National Council of Educational Research and Training (NCERT) Class: 5th Class Subject: Mathematics NCERT solutions …

NCERT Solutions for Class 5 Maths Smart Charts

NCERT Solutions for Class 5 Maths Smart Charts book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. …

NCERT Solutions for Class 5 Maths Ways of Multiply and Divide

NCERT Solutions for Class 5 Maths Ways of Multiply and Divide book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from …

NCERT Solutions for Class 5 Maths Can you See The Pattern

NCERT Solutions for Class 5 Maths Can you See The Pattern book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from …

NCERT Solutions for Class 5 Maths Mapping Your Way

NCERT Solutions for Class 5 Maths Mapping Your Way book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text …

NCERT Solutions for Class 5 Maths Boxes And Sketches

NCERT Solutions for Class 5 Maths Boxes And Sketches book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text …

NCERT Solutions for Class 5 Maths Tenths And Hundredths

NCERT Solutions for Class 5 Maths Tenths And Hundredths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text …

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CBSE Class 10 Maths Case Study

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. Students must solve these case study based problems as soon as they are done with their syllabus. 

These case studies are in the form of Multiple Choice Questions where students need to answer them as asked in the exam. The MCQs are not that difficult but having a deep and thorough understanding of NCERT Maths textbooks are required to answer these. Furthermore, we have provided the PDF File of CBSE Class 10 maths case study 2021-2022.

Class 10 Maths (Formula, Case Based, MCQ, Assertion Reason Question with Solutions)

In order to score good marks in the term 1 exam students must be aware of the Important formulas, Case Based Questions, MCQ and Assertion Reasons with solutions. Solving these types of questions is important because the board will ask them in the Term 1 exam as per the changed exam pattern of CBSE Class 10th.

Important formulas should be necessarily learned by the students because the case studies are solved with the help of important formulas. Apart from that there are assertion reason based questions that are important too. 

Assertion Reasoning is a kind of question in which one statement (Assertion) is given and its reason is given (Explanation of statement). Students need to decide whether both the statement and reason are correct or not. If both are correct then they have to decide whether the given reason supports the statement or not. In such ways, assertion reasoning questions are being solved. However, for doing so and getting rid of confusions while solving. Students are advised to practice these as much as possible.

For doing so we have given the PDF that has a bunch of MCQs questions based on case based, assertion, important formulas, etc. All the Multiple Choice problems are given with detailed explanations.

CBSE Class 10th Case study Questions

Recently CBSE Board has the exam pattern and included case study questions to make the final paper a little easier. However, Many students are nervous after hearing about the case based questions. They should not be nervous because case study are easy and given in the board papers to ease the Class 10th board exam papers. However to answer them a thorough understanding of the basic concepts are important. For which students can refer to the NCERT textbook.

Basically, case study are the types of questions which are developed from the given data. In these types of problems, a paragraph or passage is given followed by the 5 questions that are given to answer . These types of problems are generally easy to answer because the data are given in the passage and students have to just analyse and find those data to answer the questions.

CBSE Class 10th Assertion Reasoning Questions

These types of questions are solved by reading the statement, and given reason. Sometimes these types of problems can make students confused. To understand the assertion and reason, students need to know that there will be one statement that is known as assertion and another one will be the reason, which is supposed to be the reason for the given statement. However, it is students duty to determine whether the statement and reason are correct or not. If both are correct then it becomes important to check, does reason support the statement? 

Moreover, to solve the problem they need to look at the given options and then answer them.

CBSE Class 10 Maths Case Based MCQ

CBSE Class 10 Maths Case Based MCQ are either Multiple Choice Questions or assertion reasons. To solve such types of problems it is ideal to use elimination methods. Doing so will save time and answering the questions will be much easier. Students preparing for the board exams should definitely solve these types of problems on a daily basis.

Also, the CBSE Class 10 Maths MCQ Based Questions are provided to us to download in PDF file format. All are developed as per the latest syllabus of CBSE Class Xth.

Class 10th Mathematics Multiple Choice Questions

Class 10 Mathematics Multiple Choice Questions for all the chapters helps students to quickly revise their learnings, and complete their syllabus multiple times. MCQs are in the form of objective types of questions whose 4 different options are given and one of them is a true answer to that problem. Such types of problems also aid in self assessment.

Case Study Based Questions of class 10th Maths are in the form of passage. In these types of questions the paragraphs are given and students need to find out the given data from the paragraph to answer the questions. The problems are generally in Multiple Choice Questions.

The Best Class 10 Maths Case Study Questions are available on Selfstudys.com. Click here to download for free.

To solve Class 10 Maths Case Studies Questions you need to read the passage and questions very carefully. Once you are done with reading you can begin to solve the questions one by one. While solving the problems you have to look at the data and clues mentioned in the passage.

In Class 10 Mathematics the assertion and reasoning questions are a kind of Multiple Choice Questions where a statement is given and a reason is given for that individual statement. Now, to answer the questions you need to verify the statement (assertion) and reason too. If both are true then the last step is to see whether the given reason support=rts the statement or not.

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

By QB365 on 21 May, 2021

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

QB365 - Question Bank Software

10th Standard CBSE

Final Semester - June 2015

Case Study Questions

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

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

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

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

(ii) Find the value of \(\alpha\) + \(\beta\) +  \(\alpha\) \(\beta\) .

(iii) The value of p(2) is

(iv) If \(\alpha\) and \(\beta\) are zeroes of  \(x^{2}+x-2, \text { then } \frac{1}{\alpha}+\frac{1}{\beta}=\)

(v) If sum of zeroes of  \(q(x)=k x^{2}+2 x+3 k\)  is equal to their product, then k =

(ii) The axis of symmetry of the given parabola is

(iii) The zeroes of the polynomial, represented in the given graph, are

(iv) Which of the following polynomial has -2 and -3 as its zeroes?

(v) For what value of 'x', the value of the polynomial  \(f(x)=(x-3)^{2}+9 \text { is } 9 ?\)

(ii) What will be the expression of the polynomial given in diagram?

(iii) What is the value of the polynomial, represented by the graph, when x = 4?

(iv) If the tunnel is represented by x 2  + 3x - 2, then its zeroes are

(v) If one zero is 4 and sum of zeroes is -3, then representation of tunnel as a polynomial is

(ii) The sum of product of zeroes taken two at a time is

(iii) Product of zeroes of polynomial p(x) is

(iv) The value of the polynomial p(x), when x = 4 is

(v) If  \(\alpha,\beta,\gamma\)  are the zeroes of a polynomial g(x) such that  \(\alpha+\beta+\gamma=3, \alpha \beta+\beta \gamma+\gamma \alpha=-16\)   and  \(\alpha \beta \gamma=-48\)   then, g(x) =

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

(i) (b): Graph of a quadratic polynomial is a parabolic in shape. (ii) (c): Since the graph of the polynomial cuts the x-axis at (-6,0) and (6, 0). So, the zeroes of polynomial are -6 and 6. \(\therefore\) Required polynomial is p(x) = x 2 - (-6 + 6)x + (-6)(6) = x 2 - 36 (iii) (c) : We have, p(x) = x 2 - 36 Now, p( 6) = 62 - 36 = 36 - 36 = 0 (iv) (b): Letf (x) = x 2 + 2x - 3. Then, \(\text { Sum of zeroes }=-\frac{\text { coefficient of } x}{\text { coefficient of } x^{2}}=-\frac{(2)}{1}=-2\) (v) (d): The given polynomial is at 2 + 5t + 3a Given, sum of zeroes = product of zeroes. \(\Rightarrow \quad \frac{-5}{a}=\frac{3 a}{a} \Rightarrow a=\frac{-5}{3}\)

(i) (b): Given, a and \(\beta\) are the zeroes of  \(p(x)=x^{2}-24 x+128\) \(\text { Putting } p(x)=0 \text { , we get }\) \( x^{2}-8 x-16 x+128=0 \) \(\Rightarrow x(x-8)-16(x-8)=0 \) \(\Rightarrow (x-8)(x-16)=0 \Rightarrow x=8 \text { or } x=16 \) \(\therefore \alpha=8, \beta=16\) (ii) (c) :  \(\alpha+\beta+\alpha \beta =8+16+(8)(16) =24+128=152 \) (iii) (d) :  \(p(2)=2^{2}-2 4(2)+128=4-48+128=84\) (iv) (a): Since a and \(\beta\) are zeroes of  \(x^{2}+x-2\) \(\therefore \quad \alpha+\beta=-1 \text { and } \alpha \beta=-2 \) \(\text { Now, } \frac{1}{\alpha}+\frac{1}{\beta}=\frac{\beta+\alpha}{\alpha \beta}=\frac{-1}{-2}=\frac{1}{2}\) (v) (c): Sum of zeroes  \(=\frac{-2}{k}\) Product of zeroes  \(=\frac{3 k}{k}=3\) According to question, we have  \(\frac{-2}{k}=3\) \(\Rightarrow \quad k=\frac{-2}{3}\)

(i) (b): The shape of the path of the soccer ball is a parabola. (ii) (c): The axis of symmetry of the given curve is a line parallel to y-axis. (iii) (a): The zeroes of the polynomial, represented in the given graph, are -2 and 7, since the curve cuts the x-axis at these points. (iv) (d): A polynomial having zeroes -2 and -3 is  \(p(x)=x^{2}-(-2-3) x+(-2)(-3)=x^{2}+5 x+6\) (v) (c): We have  \(f(x)=(x-3)^{2}+9\) \(\text { Now, } 9=(x-3)^{2}+9 \) \(\Rightarrow(x-3)^{2}=0 \Rightarrow x-3=0 \Rightarrow x=3\)

(i) (a): Since, the graph intersects the x-axis at two points, namely x = 8, -2. So, 8, - 2 are the zeroes of the given polynomial. (ii) (b): The expression of the polynomial given in diagram is  \(-x^{2}+6 x+16\) (iii) (c) : Let  \(p(x)=-x^{2}+6 x+16\) \(\text { When } x=4, p(4)=-4^{2}+6 \times 4+16=24\) (iv) (d): Let  \(f(x)=-x^{2}+3 x-2\) Now, consider  \(f(x)=0 \Rightarrow-x^{2}+3 x-2=0\) \(\begin{aligned} &\Rightarrow x^{2}-3 x+2=0 \Rightarrow(x-2)(x-1)=0\\ &\Rightarrow x=1,2 \text { are its zeroes. } \end{aligned}\) (v) (b): Let a and \(\beta\)  are the zeroes of the required polynomial. Given  \(\alpha + \beta = - 3\) If \(\alpha\) = 4, then  \(\beta\) = -7 \(\therefore \quad \text { Representation of tunnel is }-x^{2}-3 x+28 \text { . }\)

(i) (c): For finding  \(\alpha,\beta,\)   \(\gamma\)  consider p(x) = 0 \(\Rightarrow \quad x^{3}-18 x^{2}+95 x-150=0 \) \(\Rightarrow \quad(x-3)\left(x^{2}-15 x+50\right)=0 \) \(\Rightarrow \quad(x-3)(x-5)(x-10)=0 \Rightarrow x=10 \text { or } x=5 \text { or } x=3 \) \(\text { Thus } \alpha=10, \beta=5 \text { and } \gamma=3\) (ii) (d): Here  \(\alpha=10, \beta=5 \text { and } \gamma=3\) \(\therefore\)   Sum of product of zeroes taken two at a time \(\begin{array}{l} =\alpha \beta+\beta \gamma+\gamma \alpha=(10)(5)+(5)(3)+(3)(10) \\ =50+15+30=95 \end{array}\) (iii) (a): Product of zeroes of polynomial p(x) =  \(\alpha\beta\gamma\) = (10) (5) (3) = 150 (iv) (b): We have  \(p(x)=x^{3}-18 x^{2}+95 x-150\) \(\begin{array}{l} \text { Now, } p(4)=4^{3}-18(4)^{2}+95(4)-150 \\ =64-288+380-150=6 \end{array}\) (v) (d):   \(g(x)=x^{3}-(\alpha+\beta+\gamma) x^{2} +(\alpha \beta+\beta \gamma+\gamma \alpha) x-\alpha \beta \gamma \) \(\Rightarrow g(x)=x^{3}-3 x^{2}-16 x-(-48)=x^{3}-3 x^{2}-16 x+48\)

Related 10th Standard CBSE Maths Materials

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• What is fraction? A fraction is a numerical quantity that is not a whole number. For example, ½ is a fraction of 1 as numerator and 2 as a denominator

Fractions having the same denominator are called like fractions. For example, ½,3/2, 5/2, 7/2, are all like fractions.

• Fractions having different denominators are called, unlike fractions. For example, ½, 2/3, ¾, 4/5, are all unlike fractions
• A fraction whose numerator is less than the denominator is called proper fraction. For example, 8/9, 7/8, 6/7, 5/6 are all proper fractions.
• A fraction whose numerator is greater than the denominator is called improper fraction. For example, 3/2, 4/3, 5/4, 6/5 are all improper fractions.

EXAMPLE 1: Find the fraction of shaded and unshaded part.

EXAMPLE 2: Find the fraction of red balls, green balls and blue balls.

SOLUTION: Total number of balls= 10 Number of red balls= 4

Fraction of red balls= 4/10= 2/5

Fraction of green balls= 5/10= ½

Fraction of blue balls= 1/10

Fraction as a division

• Any fraction can be expressed as a division by writing its numerator as dividend and denominator as divisor

Numerator/Denominator

= Dividend ÷ Divisor

=Dividend/Divisor

EXAMPLE 1: Write 1÷2 as a fraction.

SOLUTION: ½

EXAMPLE 2: Write 2/3 as division.

SOLUTION: 2÷3

To convert a mixed no. into an improper fraction & vice versa

• To convert a mixed number into an improper fraction multiply the quotient with the divisor and add the product with remainder in the numerator. The denominator will contain the divisor.

• To convert an improper fraction into a mixed number, divide the numerator of the fraction by the denominator. Write the quotient as the whole number. The remainder in the numerator and the divisor in the denominator.

Finding and checking equivalent fraction

• To find the equivalent fraction to a given fraction, divide or multiply the numerator or denominator by the same number. (other than zero)

• To check for equivalent fractions, we need two equivalent fraction.

SOLUTION: 2x4=8 3X3=9 8≠9

Hence, the fractions are not equal.

To find a fraction in its lowest term

• A fraction is in its lowest term when the numerator and the denominator don’t have a common factor, except 1.
• There are two methods of finding a fraction in its lowest term. They are: Method 1: Divide the numerator and denominator with their common factor till we are left with only the common factor 1

Method 2: Divide the numerator and denominator of the given fraction with their HCF.

To find the fraction of a number or quantity

• Divide the number by the denominator. Then, multiply the quotient so obtained by the numerator.

EXAMPLE 1: A group has 120 children. 4/5 of them are girls. Find the number of boys.

No. of boys= (120-96) = 24

EXAMPLE 2: Find 1/4 of a year in months.

SOLUTION: A year has 12 months. ¼ X 12 = 3 months [ANS]

To compare unlike fractions

• First find the LCM of the denominators of the given fractions.
• Then convert the unlike fractions into equivalent like fraction with LCM as their common denominator.
• Compare the like fractions.

Convert mixed fractions into improper fractions to compare them.

To add/subtract unlike fractions

• Find the LCM of the denominator of unlike fraction.
• Then convert the unlike fraction into equivalent like fraction with LCM as common denominator.
• Add/subtract the like fraction so obtained.

EXAMPLE 1: Add/subtract ½ and/from 1/6.

SOLUTION: LCM of 2 and 6 is = 2x3=6 2| 2,6 1,3

Reciprocal of a fractional number

• When the product of two fraction is 1, we say that each of the fraction is the reciprocal or multiplicative inverse of the other.

Division of fractions

• Division is repeated subtraction.
• Division by a fraction is same as multiplication by its reciprocal. 0 has no reciprocal. The reciprocal of 1 is 1. 0 divided by any non-zero number = 0

Practice these questions

• LCM of denominators is to be found only while performing addition or subtraction of unlike fractions.
• While multiplying fractions we can change their order, but the product remains the same. (commutative property)
• If a fraction is multiplied by 0, the product is always zero.
• If a fraction is multiplied by 1, the product is the same fraction.
• A fraction is in the lowest term when the only common factor between the numerator and the denominator is 1
• If any of the fraction is a mixed number or a whole number, change it to an improper function and then multiply.

Quiz for Fractions

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CBSE Case Study Questions for Class 6 – 10, 12 for Maths, Science, SST

Cbse case study questions for maths, science, social science.

CBSE Case Study Questions:   Case Study Questions for all Class 1, 2, 4, 5, 6, 7, 8, 9,10, 11 and 12 by Experienced Teachers. We Net Ex. Arranged here Important Case Based Questions for CBSE Board – Maths, Science, Social Science, English.

One must keep in mind to not discover the answers straight forwardly within the given entry but moreover think effectively to determine the answer. Case based questions are either MCQs or Attestation Reason Questions, so for endeavoring such questions you must take after the run the show of end. Case studies capture a range of perspectives, as opposed to the single view of an individual you get with a survey response or interview. This gives the opportunity to gain a greater understanding of the subject in hand and reduces the potential for any bias, by diluting the agenda of a particular individual.

• Case Study Questions Class 6 Science
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• Class 8 Social Science Case Study Question
• Case Study Question for Class 10 Basic Maths
• Case Study Question for Class 10 Maths Standard
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• Case Study Question for Class 10 Computer
• Class 11 Biology Case Study Question
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• Case Study Question for Class 12 Biology
• Class 12 Physics Case Study Question

Due to a little test, the case ponder can conduct an in-depth investigation. – Case ponders make openings for a wealthy surrender of information, and the profundity of investigation can in turn bring tall levels of legitimacy (i.e. giving an exact and comprehensive degree of what the think about is trusting to degree).

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5th Class Mathematics Lines and Angles Question Bank

Done angles total questions - 25.

A)  Acute                           done clear

B)  Obtuse          done clear

C)         Right                done clear

D)  Straight done clear

A)  2                     done clear

B)         3                     done clear

C)  4                     done clear

D)         5 done clear

question_answer 3) At what time given below do the minute and hour hands of a dock make a right angle?

A)  12 O'clock         done clear

B)  Quarter to 9 done clear

C)  Half past 9      done clear

D)         3 O'clock                      done clear

A)  0                                 done clear

B)  1                     done clear

C)  2                     done clear

D)         3 done clear

A)  2                                 done clear

B)  3                     done clear

C)  4        done clear

D)         5         done clear

A)  Jyoti                done clear

B)  Harsha             done clear

C)         Jiya                 done clear

D)         Harsh                           done clear

question_answer 7) An angle which measures more than 0° but less than 90° is called ____.     

A)  Acute                         done clear

B)  Obtuse                done clear

C)                                 Right                    done clear

D)          None of these                            done clear

A)  1                     done clear

B)         2                     done clear

C)  3                     done clear

D)         4                     done clear

A)  Ray BD                        done clear

B)  Line AD              done clear

C)                     Angle B            done clear

D)         Line segment CD done clear

B)  Obtuse done clear

C)         Reflex                 done clear

D)         Straight done clear

A) \[20{}^\circ \]                           done clear

B)  \[70{}^\circ ~~\]         done clear

C)        \[80{}^\circ ~\]            done clear

D)         \[60{}^\circ ~\]                       done clear

question_answer 12) At 3:25, the smaller angle formed between the two hands of a clock is ____.

A)  Obtuse             done clear

B)  Acute   done clear

C)         Right                done clear

D)         None of these done clear

A)  1                                 done clear

B)  2                     done clear

D)         4 done clear

A)  Obtuse                         done clear

B)  Acute                 done clear

C)                     Right                done clear

D)         Straight     done clear

A)  2                                 done clear

B)  3                     done clear

C)         4        done clear

D)         5                     done clear

A)  1                     done clear

B)         2                     done clear

A)  CD                               done clear

B)  EF                   done clear

C)  GH                  done clear

D)         IJ done clear

question_answer 18) Which of the following is greater than a right angle?

A)  \[20{}^\circ ~\]                                   done clear

B)  \[45{}^\circ ~\]                       done clear

C) \[110{}^\circ \]             done clear

D)         \[135{}^\circ ~\] done clear

question_answer 20) An angle which measures more than \[90{}^\circ \] but less than \[180{}^\circ \]is called_____.

A)  Acute done clear

C)  Right done clear

D)  None of these done clear

A)  4                                 done clear

B)  5                     done clear

C)  6                     done clear

D)         7            done clear

A)  The figure has 3 angles that are greater than a right angle. done clear

B)  The figure has 4 right angles. done clear

C)  The figure has 4 angles less than a right angle. done clear

D) The figure has sides more than the sixth multiple of 2. done clear

A)  12                                done clear

B)  13                    done clear

C)  14                    done clear

D)         15                    done clear

B)  5                     done clear

C)         3                     done clear

D)         4               done clear

A)  2                                 done clear

B)  4                     done clear

C)  6                     done clear

D)         8    done clear

Study Package

Questions - Angles

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CBSE Class 10 Maths Case Study Questions for Class 10 Maths Chapter 1 - Real Numbers (Published by CBSE)

Cbse class 10 maths cased study question bank for chapter 1 - real numbers is available here. this question bank is very useful to prepare for the class 10 maths exam 2021-2022..

The Central Board of Secondary Education has introduced the case study questions in class 10 exam pattern 2021-2022. 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.

We have provided here case study questions for Class 10 Maths Chapter 1 - Real Numbers. These questions have been published by the CBSE board itself. Students must solve all these questions at the same time they finish with the chapter - Real numbers. 

Case Study Questions for Class 10 Maths Chapter 1 - Real Numbers

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.

1. 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?

Answer: c) 288

2. 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

Answer: b) 4

3. 36 can be expressed as a product of its primes as

a) 2 2 × 3 2

b) 2 1 × 3 3

c) 2 3 × 3 1

d) 2 0 × 3 0

Answer: a) 2 2 × 3 2

4. 7 × 11 × 13 × 15 + 15 is a

a) Prime number

b) Composite number

c) Neither prime nor composite

d) None of the above

Answer: b) Composite number

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

Answer: b) a 2 b 2

CASE STUDY 2:

A seminar is being conducted by an Educational Organisation, where the participants will be educators of different subjects. The number of participants in Hindi, English and Mathematics are 60, 84 and 108 respectively.

1. In each room the same number of participants are to be seated and all of them being in the same subject, hence maximum number participants that can accommodated in each room are

Answer: b) 12

2. What is the minimum number of rooms required during the event?

Answer: d) 21

3. The LCM of 60, 84 and 108 is

Answer: a) 3780

4. The product of HCF and LCM of 60,84 and 108 is

Answer: d) 45360

5. 108 can be expressed as a product of its primes as

a) 2 3 × 3 2

b) 2 3 × 3 3

c) 2 2 × 3 2

d) 2 2 × 3 3

Answer: d) 2 2 × 3 3

CASE STUDY 3:

A Mathematics Exhibition is being conducted in your School and one of your friends is making a model of a factor tree. He has some difficulty and asks for your help in completing a quiz for the audience.

Observe the following factor tree and answer the following:

1. What will be the value of x?

Answer: b) 13915

2. What will be the value of y?

Answer: c) 11

3. What will be the value of z?

Answer: b) 23

4. According to Fundamental Theorem of Arithmetic 13915 is a

a) Composite number

b) Prime number

d) Even number

Answer: a) Composite number

5. The prime factorisation of 13915 is

a) 5 × 11 3 × 13 2

b) 5 × 11 3 × 23 2

c) 5 × 11 2 × 23

d) 5 × 11 2 × 13 2

Answer: c) 5 × 11 2 × 23

Also Check:

CBSE Case Study Questions for Class 10 Maths - All Chapters

Tips to Solve Case Study Based Questions Accurately

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Place Value Questions

Place value questions with solutions are provided here for students to practice and enhance their skills. The place value of a digit in a number represents the position or place of that digit. For example, the place value of 2 in 726 is the tens place. Knowledge of place values will help kids to write numbers in words in both Indian and international systems.

Place value charts in Indian and International systems of numerals :

Learn more about Place Values .

Place Value Questions with Solution

Identifying the place value of a digit within a given number are taught to students of grades 1 to 5. These questions on place values will help them affirm their concept regarding place values and the numeral system.

Question 1: Find the place value of 5 for the following numbers:

Question 2: Find the place value of 2 and 7 for the following numbers:

(iii) 28467

Questions 3: Fill in the blanks:

(i) 20600 + ____ + 30 + 5 = 28635.

(ii) _____ + ____ + 86 = 4586.

(iii) 4000 + 3 + 400 + ____ = 4443.

(iv) 34589 = _____ + _____ + ____ + ______ +_____.

(i) 20600 + 8000 + 30 + 5 = 28635.

(ii) 4000 + 500 + 86 = 4586.

(iii) 4000 + 3 + 400 + 40 = 4443.

(iv) 34589 = 30,000 + 4000 + 500 + 80 + 9 .

• Numbers in Words
• Addition and Subtraction
• Number Lines
• Types of Numbers

Question 4: Identify the number which has 4 in tens place and 8 in thousands place. The digit in ones is half the sum of the digits in tens and thousands, and the digit in hundreds place is six less than the digit in ones place. Find the number.

Given, the number has 4 in the tens place and 8 in thousands place.

Digit in ones place = (8 + 4) ÷ 2 = 12/2 = 6

Digit in hundreds place = less than the digit in ones place = 6 – 6 = 0

Thus, the number is –

Question 5: Write following numbers in the place value chart in both Indian and International system:

(ii) 912597

(iii) 213709

(iv) 120986

Question 6: Find the sum and product of the place value and face value of 6 in the number 86245.

Place value of 6 = 6000

Face value of 6 = 6

6000 + 6 = 6006

6000 × 6 = 36000

Question 7: State ‘true’ or ‘false’ for the following statements:

(i) The place value and face value of any digit in ones place are the same.

(ii) Sum of the place values of 3 in the numbers 3986 and 9723 is 3030.

(iii) 300 + 60 + 5 = 356.

(iv) The face value of any digit is either less than or equal to the place value of the digit.

(v) The product of the place value of 4 in 4956 and the face value of 7 in 171 is 280000.

(i) The place value and face value of any digit in ones place are the same. (True)

(ii) Sum of the place values of 3 in the numbers 3986 and 9723 is 3030. (False)

(iii) 300 + 60 + 5 = 356. (False)

(iv) The face value of any digit is either less than or equal to the place value of the digit. (True)

(v) The product of the place value of 4 in 4956 and the face value of 7 in 171 is 280000. (False)

Question 8: Write the following numbers in words according to the Indian system:

(ii) 129644

(iii) 25456

(i) 94562 – Ninety-four thousand five hundred sixty-two.

(ii) 129644 – One lakh twenty-nine thousand six hundred forty-four.

(iii) 2545600 – Twenty-five lakhs forty-five thousand six hundred.

(v) 30764 – Thirty thousand seven hundred sixty-four.

Question 9: Write the following numbers in words according to the International system:

(ii) 5720964

(iii) 40972

(iv) 497114

(i) 34921 – Thirty-four thousand nine hundred twenty-one

(ii) 5720964 – Five million seven hundred twenty thousand nine hundred sixty-four

(iii) 40972 – Forty thousand nine hundred seventy-two

(iv) 497114 – Four hundred ninety-seven thousand one hundred fourteen

Question 10: Compare the following using ‘>’, ‘<’ or ‘=’:

(i) Place value of 3 in 3245 ____ Place value of 6 in 265

(ii) Places value of 5 in 456 ____ Place value of 2 in 234

(iii) Place value of 7 in 7980 ____ Place value of 5 in 5790

(iv) Place value of 4 in 234 ____ Face value of 9 in 494

(i) Place value of 3 in 3245 > Place value of 6 in 265

(ii) Places value of 5 in 456 < Place value of 2 in 234

(iii) Place value of 7 in 7980 > Place value of 5 in 5790

(iv) Place value of 4 in 234 = Face value of 4 in 495

Question 11: Write the following numbers in the place value charts:

(ii) 325.006

(iii) 0.976

Question 12: Fill in the blanks:

(i) 1 × 100 + 2 × 10 + 8 × 1 + 5 × 1/10 + 2 × 1/100 = _____.

(ii) 2 × 1000 + 28 × 10 + 1 × 1/10 + 1 × 1/100 = ________.

(iii) 0.008 + 1.07 + 0.5 = _______.

(iv) 300 + 4 + 45 + 0.0006 + 0.007 + 0.08 = ______.

(i) 1 × 100 + 2 × 10 + 8 × 1 + 5 × 1/10 + 2 × 1/100 = 128.52

(ii) 2 × 1000 + 28 × 10 + 1 × 1/10 + 1 × 1/100 = 2280.11

(iii) 0.008 + 1.07 + 0.5 = 1.578

(iv) 300 + 4 + 45 + 0.0006 + 0.007 + 0.08 = 349.0876

Practice Questions:

1. Find the place value of 6 for the following numbers:

(iii) 497612

2. The digits in the tens and the thousands place of a number are 3 and 9, respectively. The digit in the ones and the ten thousands places are 3 and 4 more than the digit in tens place. If the digit in the hundreds place is three less than the digit in ten thousands place, find the number.

3. Fill in the blanks:

(i) 3000 + 700 + _____ + 8 = 3758.

(ii) 200 + 9050 + 4 = ______.

(iii) 2000 + 0.009 + 12.23 + 300 = _____.

Keep visiting BYJU’S to get more such Maths lessons in a simple, concise and easy to understand way. Also, register at BYJU’S – The Learning App to get complete assistance for Maths preparation with video lessons, notes, tips and other study materials.

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CBSE Class 10 Maths Case Study Questions PDF

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

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

Table of Contents

Chapterwise Case Study Questions for Class 10 Mathematics

Inboard exams, students will find the questions based on assertion and reasoning. Also, there will be a few questions based on case studies. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

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

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

Class 10 Maths Syllabus 2024

Chapter-1  real numbers.

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

Chapter-2  Polynomials

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

Chapter-3  Pair of Linear Equations in Two Variables

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

Chapter-4  Quadratic Equations

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

Chapter-5  Arithmetic Progressions

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

Chapter-6  Triangles

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

Chapter-7  Coordinate Geometry

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

Chapter-8  Introduction to Trigonometry

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

Chapter-9  Applications of Trigonometry

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

Chapter-10  Circle

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

Chapter-11  Constructions

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

Chapter-12  Areas related to Circles

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

Chapter-13  Surface Areas and Volumes

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

Chapter-14  Statistics

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

Chapter-15  Probability

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

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• Previous Years Questions
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• Assertion and Reason Questions

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Class 9 Maths Case Study Questions of Chapter 2 Polynomials PDF Download

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Case study Questions in Class 9 Mathematics Chapter 2  are very important to solve for your exam. Class 9 Maths Chapter 2 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving  Class 9 Maths Case Study Questions  Chapter 2 Polynomials

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

These case study questions challenge students to apply their knowledge of polynomials in real-life scenarios, enhancing their problem-solving abilities. This article provides for the Class 9 Maths Case Study Questions of Chapter 2: Polynomials , enabling students to practice and excel in their examinations.

Polynomials Case Study Questions With Answers

Here, we have provided case-based/passage-based questions for Class 9 Maths Chapter 2 Polynomials

Case Study/Passage Based Questions

Ankur and Ranjan start a new business together. The amount invested by both partners together is given by the polynomial p(x) = 4x 2 + 12x + 5, which is the product of their individual shares.

Coefficient of x 2 in the given polynomial is (a) 2 (b) 3 (c) 4 (d) 12

Answer: (c) 4

Total amount invested by both, if x = 1000 is (a) 301506 (b)370561 (c) 4012005 (d)490621

Answer: (c) 4012005

The shares of Ankur and Ranjan invested individually are (a) (2x + 1),(2x + 5)(b) (2x + 3),(x + 1) (c) (x + 1),(x + 3) (d) None of these

Answer: (a) (2x + 1),(2x + 5)

Name the polynomial of amounts invested by each partner. (a) Cubic (b) Quadratic (c) Linear (d) None of these

Answer: (c) Linear

Find the value of x, if the total amount invested is equal to 0. (a) –1/2 (b) –5/2 (c) Both (a) and (b) (d) None of these

Answer: (c) Both (a) and (b)

One day, the principal of a particular school visited the classroom. The class teacher was teaching the concept of a polynomial to students. He was very much impressed by her way of teaching. To check, whether the students also understand the concept taught by her or not, he asked various questions to students. Some of them are given below. Answer them

Which one of the following is not a polynomial? (a) 4x 2 + 2x – 1 (b) y+3/y (c) x 3 – 1 (d) y 2 + 5y + 1

Answer: (b) y+3/y

The polynomial of the type ax 2 + bx + c, a = 0 is called (a) Linear polynomial (b) Quadratic polynomial (c) Cubic polynomial (d) Biquadratic polynomial

Answer: (a) Linear polynomial

The value of k, if (x – 1) is a factor of 4x 3 + 3x 2 – 4x + k, is (a) 1 (b) –2 (c) –3 (d) 3

Answer: (c) –3

If x + 2 is the factor of x 3 – 2ax 2 + 16, then value of a is (a) –7 (b) 1 (c) –1 (d) 7

Answer: (b) 1

The number of zeroes of the polynomial x 2 + 4x + 2 is (a) 1 (b) 2 (c) 3 (d) 4

Answer: (b) 2

Case Study/Passage-Based Questions

Case Study 3. Amit and Rahul are friends who love collecting stamps. They decide to start a stamp collection club and contribute funds to purchase new stamps. They both invest a certain amount of money in the club. Let’s represent Amit’s investment by the polynomial A(x) = 3x^2 + 2x + 1 and Rahul’s investment by the polynomial R(x) = 2x^2 – 5x + 3. The sum of their investments is represented by the polynomial S(x), which is the sum of A(x) and R(x).

Q1. What is the coefficient of x^2 in Amit’s investment polynomial A(x)? (a) 3 (b) 2 (c) 1 (d) 0

Answer: (a) 3

Q2. What is the constant term in Rahul’s investment polynomial R(x)? (a) 2 (b) -5 (c) 3 (d) 0

Answer: (c) 6

Q3. What is the degree of the polynomial S(x), representing the sum of their investments? (a) 4 (b) 3 (c) 2 (d) 1

Answer: (c) 2

Q4. What is the coefficient of x in the polynomial S(x)? (a) 7 (b) -3 (c) 0 (d) 5

Answer: (b) -3

Q5. What is the sum of their investments, represented by the polynomial S(x)? (a) 5x^2 + 7x + 4 (b) 5x^2 – 3x + 4 (c) 5x^2 – 3x + 5 (d) 5x^2 + 7x + 5

Answer: (b) 5x^2 – 3x + 4

Case Study 4. A school is organizing a fundraising event to support a local charity. The students are divided into three groups: Group A, Group B, and Group C. Each group is responsible for collecting donations from different areas of the town.

Group A consists of 30 students and each student is expected to collect ‘x’ amount of money. The polynomial representing the total amount collected by Group A is given as A(x) = 2x^2 + 5x + 10.

Group B consists of 20 students and each student is expected to collect ‘y’ amount of money. The polynomial representing the total amount collected by Group B is given as B(y) = 3y^2 – 4y + 7.

Group C consists of 40 students and each student is expected to collect ‘z’ amount of money. The polynomial representing the total amount collected by Group C is given as C(z) = 4z^2 + 3z – 2.

Q1. What is the coefficient of x in the polynomial A(x)? (a) 2 (b) 5 (c) 10 (d) 0

Answer: (b) 5

Q2. What is the degree of the polynomial B(y)? (a) 2 (b) 3 (c) 4 (d) 1

Answer: (b) 3

Q3. What is the constant term in the polynomial C(z)? (a) 4 (b) 3 (c) -2 (d) 0

Answer: (c) -2

Q4. What is the sum of the coefficients of the polynomial A(x)? (a) 2 (b) 5 (c) 10 (d) 17

Answer: (c) 10

Q5. What is the total number of students in all three groups combined? (a) 30 (b) 20 (c) 40 (d) 90

Answer: (c) 40

The Class 9 Maths Case Study Questions of Chapter 2: Polynomials serve as a valuable resource for students seeking to enhance their understanding of polynomial concepts and problem-solving skills. By practicing these case studies, students can strengthen their grasp of polynomials and their applications in real-life scenarios. Embrace the opportunity to engage with practical problems and excel in your mathematical journey.

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I didnt understand last question

The number of zeroes of the polynomial x2 + 4x + 2 is The answer is too easy, i.e. 2

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