dav class 8 maths case study questions

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DAV Class 8 Maths Book Solutions Pdf – DAV Class 8 Maths Solutions

DAV Class 8 Maths Book Solutions Pdf: Many students feel difficulty finding the DAV Class 8 Maths Solutions. If you are also in the same situation then this is the right platform you came to. In this article, we provide complete solutions to DAV Class 8 Maths Book Pdf. With that, you can easily understand the concepts. Even DAV Maths Class 8 Solutions are available in pdf format, so you can just download them and practice.

Have a look at the complete article DAV Maths Book Class 8 Solutions Pdf, and practice all worksheets that are available for every chapter to score well in exams and get promoted to class 9 easily.

DAV Public School Class 8 Maths Book Solutions – DAV Maths Class 8 Solutions

In our DAV Class 8 Maths Solution, we have included all the chapters according to the latest DAV Maths Book Class 8 Pdf. And this PDF can be downloaded easily and follow all the chapter-wise worksheets that are provided with solutions to every problem by our math experts. With these DAV Class 8th Maths Solutions, you can prepare for exams very effectively and quickly.

Look into the below chapters and select the link of the worksheets that you like to check out the Secondary Mathematics Class 8th DAV Solutions for every problem.

Also, Check:

• DAV Books Solutions Class 8

DAV Class 8 Maths Book Solutions PDF Chapter 1 Squares and Square Roots

• DAV Class 8 Maths Chapter 1 Worksheet 1
• DAV Class 8 Maths Chapter 1 Worksheet 2
• DAV Class 8 Maths Chapter 1 Worksheet 3
• DAV Class 8 Maths Chapter 1 Worksheet 4
• DAV Class 8 Maths Chapter 1 Worksheet 5
• DAV Class 8 Maths Chapter 1 Brain Teasers

Class 8 DAV Maths Solutions Chapter 2 Cubes and Cube Roots

• DAV Class 8 Maths Chapter 2 Worksheet 1
• DAV Class 8 Maths Chapter 2 Worksheet 2
• DAV Class 8 Maths Chapter 2 Brain Teasers

DAV Class 8 Maths Solutions Chapter 3 Exponents and Radicals

• DAV Class 8 Maths Chapter 3 Worksheet 1
• DAV Class 8 Maths Chapter 3 Worksheet 2
• DAV Class 8 Maths Chapter 3 Brain Teasers

DAV Maths Class 8 Solutions Chapter 4 Direct and Inverse Variation

• DAV Class 8 Maths Chapter 4 Worksheet 1
• DAV Class 8 Maths Chapter 4 Worksheet 2
• DAV Class 8 Maths Chapter 4 Worksheet 3
• DAV Class 8 Maths Chapter 4 Brain Teasers

DAV Maths Book Class 8 Solutions Pdf Chapter 5 Profit, Loss and Discount

• DAV Class 8 Maths Chapter 5 Worksheet 1
• DAV Class 8 Maths Chapter 5 Worksheet 2
• DAV Class 8 Maths Chapter 5 Worksheet 3
• DAV Class 8 Maths Chapter 5 Brain Teasers

DAV Class 8 Maths Solution Pdf Chapter 6 Compound Interest

• DAV Class 8 Maths Chapter 6 Worksheet 1
• DAV Class 8 Maths Chapter 6 Worksheet 2
• DAV Class 8 Maths Chapter 6 Worksheet 3
• DAV Class 8 Maths Chapter 6 Worksheet 4
• DAV Class 8 Maths Chapter 6 Brain Teasers

DAV Class 8th Maths Solutions Chapter 7 Algebraic Identities

• DAV Class 8 Maths Chapter 7 Worksheet 1
• DAV Class 8 Maths Chapter 7 Worksheet 2
• DAV Class 8 Maths Chapter 7 Worksheet 3
• DAV Class 8 Maths Chapter 7 Worksheet 4
• DAV Class 8 Maths Chapter 7 Worksheet 5
• DAV Class 8 Maths Chapter 7 Worksheet 6
• DAV Class 8 Maths Chapter 7 Worksheet 7
• DAV Class 8 Maths Chapter 7 Brain Teasers

Class 8 DAV Maths Book Solution Chapter 8 Polynomials

• DAV Class 8 Maths Chapter 8 Worksheet 1
• DAV Class 8 Maths Chapter 8 Worksheet 2
• DAV Class 8 Maths Chapter 8 Worksheet 3
• DAV Class 8 Maths Chapter 8 Brain Teasers

DAV Maths Solution Class 8 Chapter 9 Linear Equations in One Variable

• DAV Class 8 Maths Chapter 9 Worksheet 1
• DAV Class 8 Maths Chapter 9 Worksheet 2
• DAV Class 8 Maths Chapter 9 Brain Teasers

DAV Solution Class 8 Maths Chapter 10 Parallel Lines

• DAV Class 8 Maths Chapter 10 Worksheet 1
• DAV Class 8 Maths Chapter 10 Worksheet 2
• DAV Class 8 Maths Chapter 10 Worksheet 3
• DAV Class 8 Maths Chapter 10 Brain Teasers

Class 8 DAV Maths Solution Chapter 11 Understanding Quadrilaterals

• DAV Class 8 Maths Chapter 11 Worksheet 1
• DAV Class 8 Maths Chapter 11 Worksheet 2
• DAV Class 8 Maths Chapter 11 Worksheet 3
• DAV Class 8 Maths Chapter 11 Brain Teasers

DAV School Class 8 Maths Solutions Chapter 12 Construction of Quadrilaterals

• DAV Class 8 Maths Chapter 12 Worksheet 1
• DAV Class 8 Maths Chapter 12 Worksheet 2
• DAV Class 8 Maths Chapter 12 Worksheet 3
• DAV Class 8 Maths Chapter 12 Worksheet 4
• DAV Class 8 Maths Chapter 12 Brain Teasers

Maths Class 8 DAV Solutions Chapter 13 Introduction to Graphs

• DAV Class 8 Maths Chapter 13 Worksheet 1
• DAV Class 8 Maths Chapter 13 Worksheet 2
• DAV Class 8 Maths Chapter 13 Brain Teasers

Class 8 Maths DAV Solution Chapter 14 Mensuration

• DAV Class 8 Maths Chapter 14 Worksheet 1
• DAV Class 8 Maths Chapter 14 Worksheet 2
• DAV Class 8 Maths Chapter 14 Worksheet 3
• DAV Class 8 Maths Chapter 14 Worksheet 4
• DAV Class 8 Maths Chapter 14 Worksheet 5
• DAV Class 8 Maths Chapter 14 Worksheet 6
• DAV Class 8 Maths Chapter 14 Worksheet 7
• DAV Class 8 Maths Chapter 14 Worksheet 8
• DAV Class 8 Maths Chapter 14 Worksheet 9
• DAV Class 8 Maths Chapter 14 Brain Teasers

DAV Class 8 Maths Book Solution Chapter 15 Statistics and Probability

• DAV Class 8 Maths Chapter 15 Worksheet 1
• DAV Class 8 Maths Chapter 15 Worksheet 2
• DAV Class 8 Maths Chapter 15 Worksheet 3
• DAV Class 8 Maths Chapter 15 Worksheet 4
• DAV Class 8 Maths Chapter 15 Brain Teasers

DAV Public School Class 8 Maths Book Solutions Chapter 16 Rotational Symmetry

• DAV Class 8 Maths Chapter 16 Worksheet 1
• DAV Class 8 Maths Chapter 16 Worksheet 2
• DAV Class 8 Maths Chapter 16 Brain Teasers

DAV Class 8 Maths Syllabus 2023-24

Here we are going to provide you with a complete syllabus of class 8 Maths with the names of the concepts in every chapter. And also provides you with the weightage of marks for every chapter, instructions, weightage to form of questions, guidelines for internal assessment, and many others.

General Instructions:

• The entire syllabus has to be covered in two terms i.e. Term I and Term II.
• Each term will comprise 100 marks, whereas in written exam to have 80% weightage and the internal assessment will have 20% weightage.
• Term II will cover the whole syllabus and the written examination will have 80% weightage and internal assessment will have 20% weightage.

Guidelines for Internal Assessment (20 Marks) It is suggested that, in each term, the internal assessment will be carried out as follows:

Weightage to Form of Questions

Class 8 Maths DAV Book Pdf Detailed Syllabus

The syllabus has been divided into two parts, one for the first term and the other for the second term.

Note: Final Term will cover the whole syllabus so time must be devoted to the revision.

Chapter 1 Square and Square Roots (12 Periods) Square of a number, triangular numbers, and numbers between two consecutive square numbers, finding the square root of a number by the repeated subtraction method, finding square roots of perfect squares by factorization, Using the division method, finding square roots of Positive integers which are perfect squares, Decimals which are perfect squares, Finding square roots of numbers which are not perfect squares by the division method up to three decimal places. Problems based on square roots (simple problems only).

Learning Outcomes: Students will be able to appreciate Squares of even numbers are even, Squares of odd numbers are odd, Perfect squares, and number ending in 2, 3, 7, or 8 is never perfect square, the Concept of Pythagorean triplet, find the square root of a number, By prime factorization, By long division method Students will be able to understand and apply the following rules:

• Rule 1: If a and b are perfect squares (b ≠ 0) then \(\sqrt{a \times b}=\sqrt{a} \times \sqrt{b}\), \(\sqrt{\frac{a}{b}} \times \frac{\sqrt{a}}{\sqrt{b}}\)
• Rule 2: The pairing of numbers in the division method starts from the decimal point. For the integral part, it goes from right to left, and for the decimal part, it goes from left to right.
• Rule 3: If p and q are not perfect squares, then to find \(\sqrt{\frac{p}{q}}\), we express \(\frac{p}{q}\) as a decimal and then apply division method.

Chapter 2 Cubes and Cube Roots (8 Periods) Cube of a number, Cube roots of perfect cubes by factorization (cube root should not exceed two digits).

Learning Outcomes: Students will be able to understand Cube and the cube root of a negative number is negative i.e. \(\sqrt[3]{-x}=-\sqrt[3]{x}\), Cube of an even natural number is even and cube of odd natural number is odd. Students will be able to apply the following rules: For any two integers a and b, we have \(\sqrt[3]{a b}=\sqrt[3]{a} \times \sqrt[3]{b}\), \(\sqrt[3]{\frac{a}{b}}=\frac{\sqrt[3]{a}}{\sqrt[3]{b}}\), b ≠ 0

Chapter 3 Exponents and Radicals (8 Periods) Idea of rational exponents, Laws of exponents including rational numbers as exponents, and Idea of radicals and radicands.

Learning Outcomes: Students will be able to convert radical form to exponential form and vice versa. Students will be able to apply the following rules: If a is any rational number different from zero and x, y are any rational numbers, then

• \(a^x \times a^y=a^{x+y}\)
• \(a^x \div a^y=a^{x-y}\)
• \(\left(a^x\right)^y=a^{x y}\)
• \((a)^0=1\)

Chapter 4 Direct and Inverse Variations (10 Periods) Direct variation, Inverse variation, and examples. Problems with Time and Work and Time and Distance.

Learning Outcomes: Students will be able to distinguish between Direct Variation and Inverse Variation, solve the problems on time and work as well as time and distance using the concepts of direct and inverse variations.

Chapter 5 Profit and Loss and Discount (12 Periods) Problems with profit and loss including discount (rebate), marked price, selling price (only single discount to be discussed), VAT.

Learning Outcomes: The students will be able to understand the concept of profit and loss, calculate S.P./C.P., apply the concept of discount, and understand VAT and service tax and its calculation.

Chapter 6 Compound Interest (12 Periods) Meaning of Compound Interest. Calculation of amount and compound interest by unitary method. Calculation of amount and compound interest by formula up to three years. Interest compounded annually, half-yearly, or quarterly up to three conversion periods, Growth and Depreciation.

Learning Outcomes: Students will be able to distinguish between simple interest and compound interest, calculate compound interest from the amount, calculate compound interest when compounded annually, half-yearly, and quarterly, and analyze growth and depreciation applicable in various situations.

Chapter 7 Algebraic Identities (12 Periods) Study of the following identities:

• (a + b) 2 = a 2 + 2ab + b 2
• (a – b) 2 = a 2 – 2ab + b 2
• (a + b) (a – b) = a 2 – b 2

The above identities may be verified through cardboard models. Expansion of the square of a trinomial: (a + b + c) 2 = a 2 + b 2 + c 2 + 2ab + 2bc + 2ca Product of two binomials: (x + a) (x + b) = x 2 + (a + b)x + ab Factorization of Algebraic Expressions based on the above identities.

Learning Outcomes: After the completion of this chapter, students will be able to distinguish between identity and equation, learn the application of identities, factorize algebraic expressions using the identities, and apply the identities in different practical situations.

Chapter 8 Polynomials (10 Periods) Idea of a polynomial in one variable and its terms, coefficients, and degree, Division of a polynomial in one variable by a monomial or binomial. (Restricted to polynomials in one variable of degree ‘4’). Verification of Dividend = Divisor × Quotient + Remainder. (Explain the cases of non-zero remainder and remainder equal to zero). Concept of a factor of a polynomial when the remainder is zero.

Learning Outcomes: The students will be able to identify coefficients and degree of a polynomial, divide a polynomial in one variable by a monomial as a binomial, verify the dividend by using Divisor × Quotient + Remainder, understand and appreciate the factor of a polynomial when the remainder is zero.

Chapter 9 Linear Equations in One Variable (10 Periods) Solving equations of the type \(\frac{a x+b}{c x+d}\) = k; cx + d ≠ 0 Word problems on linear equations in one variable, Simple problems from daily life situations like age, coins, number of students in a class, speed, distance, formation of ‘2’ digit numbers, etc. with special emphasis on the ability to translate word problems into mathematical statements.

Learning Outcomes: The students will be able to solve linear equations in one variable and convert the language into a linear equation based on different life situations.

Chapter 10 Parallel Lines (10 Periods) definition, Angle made by a transversal with two parallel lines and vice-versa. Verification of the following properties:

• Two lines parallel to the same line are parallel to each other.
• Two lines perpendicular to the same line are parallel to each other.
• To divide a line segment into a given number of equal segments.
• To divide a line segment in a given ratio internally (constructions should be done by using a ruler and compasses).

Learning Outcomes: After the completion of this unit, students will be able to appreciate different types of angles and their relation when a transversal intersects two parallel lines and vice-versa, divide a line segment into equal parts using parallel lines with the help of a ruler and compass, comprehend that two lines parallel/perpendicular to the same line are parallel to each other.

Chapter 11 Understanding Quadrilaterals (12 Periods) Introduction to curves, Polygons, squares, rectangles, rhombus, parallelograms, and trapezium (An example of a kite may be given as a special type of quadrilateral). Verification of the following Properties:

• Opposite sides of a parallelogram are equal.
• Opposite angles of a parallelogram are equal.
• Diagonals of a parallelogram bisect each other,
• Diagonals of a rectangle are equal and bisect each other.
• Diagonals of a square are equal, perpendicular to each other, and bisect each other.
• Diagonals of a rhombus bisect each other at right angles.

(Simple problems based on these properties involving one or two logical steps).

Learning Outcomes: After the completion of this chapter, students will be able to recognize different types of quadrilaterals i.e. trapezium, parallelogram, rectangle, rhombus, square, and kite, understand the properties of parallelogram, rectangle, rhombus, and square, distinguish between different type of quadrilaterals.

Chapter 12 Construction of Quadrilaterals (10 Periods) Construction of quadrilateral given:

• Four sides and one diagonal
• Three sides and both diagonals
• Two adjacent sides and three angles
• Three sides and two included angles.

(The sides should be in whole no. of cm or at least multiples of \(\frac{1}{2}\)a cm. Angles should be multiples of 15)

Learning Outcomes: After the completion of this chapter, students will be able to construct a quadrilateral with given conditions and comprehend whether the construction of a quadrilateral with given data is possible or not.

Chapter 13 Introduction to Graphs (5 Periods) Cartesian plane. Plotting a point on the Cartesian plane. Independent and dependent variables. Drawing of graphs and type of figure.

Learning Outcomes: After the completion of this chapter, students will be able to understand the Cartesian plane and its various elements, identify the coordinates of a point, evaluate the distance of a point from the x-axis and y-axis, plot the point on a Cartesian plane, join the points and identify the figure so formed, identify abscissa and ordinates of a point.

Chapter 14 Mensuration (5 + 10 Periods) Area of trapezium, general quadrilateral, and polygon. Surface area of cuboid, cube, and right Circular cylinder. Volume of cuboid, cube, and right circular cylinder. Visualizing solid shapes, and polyhedrons. Mapping space around us.

Learning Outcomes: The students will be able to find the area of the plane figure (trapezium and quadrilateral), find the area of a polygon by dividing into various quadrilaterals and triangles, calculate the surface area of rectilinear solid figures, calculate the surface area of rectilinear solids i.e. cube and cuboids, distinguish between S.A. of a right circular cylinder and cube/cuboid, calculate S.A. of a right circular cylinder, understand the formation of cubes, cuboid with the help of nets, locate side view, top view and front view of solid figures, verify Euler’s formula for polyhedrons, map the different routes.

Chapter 15 Statistics and Probability (12 Periods) Raw data, frequency, making frequency table from the given raw data. Ungrouped and grouped data. Range, class size, class limits, and class marks. Grouping the given data into classes. Drawing, reading, and interpretation of histogram. Circle graphs or pie charts and their drawing, Probability, Chance, Experiment, Outcome, Event, and Probability of an event. Simple cases.

Learning Outcomes: After studying this chapter, students will be able to understand the terms observation, raw data, range, class marks, frequency, frequency table, differentiate between raw data, ungrouped and grouped data, mark pictorial representation through histogram and pie charts, and interpret the same, define the term trial, outcome, probability, find probability under different given situations.

Chapter 16 Rotational Symmetry (4 Periods) Rotational symmetry and its order; Centre of Rotation, Angle of Rotation. Line symmetry and Rotational Symmetry. Rotational symmetry should be confined.

Learning Outcomes: The students will be able to understand symmetry, distinguish between line symmetry and rotational symmetry, understand rotational turns about a fixed point, know the order of rotation of symmetry i.e. four in a square and 3 in an equilateral triangle, and calculate the angle of rotation about a fixed point.

FAQs on DAV Class 8 Maths Solutions PDF Free Download

1. How many chapters are available in this DAV Public School Class 8 Maths Book Pdf?

In this Class 8 DAV Maths Book Pdf, there are 16 chapters available starting from squares and square roots to rotational symmetry.

2. Where can I download the Class 8 Maths DAV Solution for free?

You can download the Class 8 DAV Maths Solution for free of cost at our learncram.com website.

3. What are the most important chapters in DAV class 8 maths?

Some of the most important chapters of DAV Class 8 Maths are

• Chapter 5: Profit and Loss and Discount
• Chapter 7: Algebraic Identities
• Chapter 14: Mensuration
• Chapter 15: Statistics and Probability

These have the highest weightage of marks in exams.

4. How are these Maths Class 8 DAV Solutions useful for exams?

By this DAV Solution Class 8 Maths you can practice all the important questions that are available in worksheets along with answers and score good marks in the exam by attempting all the questions.

With this DAV Class 8 Maths Book Solution PDF we are hoping that it is very helpful for students of class 8 in DAV to practice and prepare for exams well. If you find this PDF useful even share this with your friends. Also, explore all other class solutions and worksheets like DAV Solution Class 8, at our DAV Solutions web page.

Even visit our site regularly to stay updated.

DAV Board Class 8 Question Papers With Answers

Are you searching for the  DAV Board Class 8 Question Papers With Answers (Previous Year Question Papers English, Hindi, Science, Maths for Half yearly or Final Board Exam) ? If yes, then you have landed in the right place. The board exams for class 8th (Term 1 & 2) are fast approaching. In this article, you can access all the previous year’s question papers for preparation. The papers are available for classes 8th and include questions from all the important topics. 

• Free DAV PDF Textbook Resources

This material will be beneficial for students in Hindi, English, and Marathi mediums and is based on the latest syllabus. By studying these papers, you can increase your chances of passing the 8th class board exam with high marks. Additionally, we will provide you with the best study resources such as short notes, books, sample papers, and solutions to previous year’s papers. So, keep reading to download the question paper with answers.

Download DAV Board Class 8 Papers With Answers

Dav previous year question papers class 8 pdf, how to prepare for previous years question paper , final words.

Studying previous years’ question papers has several benefits. Firstly, it familiarizes you with the exam pattern and the type of questions that are usually asked from DAV School Books Class 8th PDF . This helps you understand the format of the exam and what to expect, which can boost your confidence on the day of the test. Secondly, by going through past papers, you can identify the areas where you need improvement and focus on them.

Thirdly, previous year’s papers can give you an insight into the level of difficulty of the exam and the topics that are given more emphasis. Additionally, it helps you understand the marking scheme and the distribution of marks, which can be useful in preparing a strategy to attempt the paper. 

Lastly, by solving past papers, you can track your progress and gauge your preparedness for the actual exam. Overall, studying the previous year’s papers is a crucial part of exam preparation that can help you score better.

• Social Science
• Also, Download DAV Class 8 Sample Paper

Preparing from the previous year’s question papers can be a great way to study and improve your chances of success in an exam. Here are some steps that you can follow:

• Get all the previous year’s question papers : Start by collecting as many previous year’s question papers as you can find. These can often be found online or in libraries.
• Study the pattern : Look at the pattern of questions asked over the years. This will help you understand what types of questions are frequently asked and what areas you need to focus on.
• Practice, practice, practice : Once you have the question papers, start solving them one by one. This will help you get familiar with the types of questions, and you can identify your weak areas and focus on them.
• Analyze your performance : After you have completed solving the question papers, analyze your performance. Find out which questions you were able to answer correctly and which ones you were not. This will help you understand where you need to focus your study efforts.
• Refer to the syllabus : Make sure you are familiar with the syllabus for the exam. The previous year’s question papers are usually based on the syllabus, so it is important to know what topics will be covered in the exam.
• Seek help : If you are struggling with any particular question or topic, don’t hesitate to seek help from your teacher, tutor, or a study group.

By following these steps, you can effectively prepare from the previous year’s question papers and increase your chances of success in the exam.

We hope you will find our  DAV Board Class 8 Question Papers With Answers  PDF informative and helpful. You can download more PDFs like these on our website  www.TheDarshika.com . On our website, you can download notes, sample papers, etc., in just a few clicks. Make sure you share our content with your friends to help them with their preparation as well. Leave a comment down below if you find our content helpful. 

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DAV Class 8 Maths Solution Chapter 1 Squares and Square roots

DAV School Books Class 8 Maths Solution Chapter 1 Squares and Square roots all Question Answer. DAV Class 8 1st Chapter Squares and Square roots full Chapter explanation by expert teacher.

Worksheet 1

1) Which of the following are perfect squares?

6561 is the square of 81 which is not an even number.

212300000 is not perfect square of any number.

3610000 = 361*10000= 19 2 ×100 2 from this we can see that if we square root the given number we will get 1900. So 3610000 is the perfect square of 1900.

From the digits of the given numbers we can see that the numbers are 2, 4, 6 and 7. We know that the numbers with digits 2 and 7 at ones place cannot be perfect squares. For that reason 1022 and 1027 cannot be perfect squares. The possible perfect square only from observing the digits from unit place is 1024 and 1026. However, we know that 1026 is not a perfect square of any integer. Only 1024 is the perfect square among the given numbers.

iv) 80 2 and 81 2 v) 101 2 and 102 2 vi) 205 2 and 206 2

vi) The number of non-square number between 205 2 and 206 2 is 2*205=410.

6) Write down the correct answer.

iii) 569 2 – 568 2

7) Observe the pattern in the following and find the missing numbers:

1+3+5+7+ (…….) up to n terms = n 2

ii) (6, 7, 8)

iii) (10, 24, 26)

Worksheet 2

15 – 3 = 12

48 – 3 = 45

48 – 9 = 39

168 – 3 = 165

56 – 11 = 45

Worksheet 3

6) An officer wants to arrange 20500 cadets in the form of a square. How many cadets are there in each row?

So the length of the rectangle is 2a.

Worksheet 4

Worksheet 5.

vii) √ {23(394/729)}

= √ (9/10000)

Now lets try with 9.4 now.

12 2 <150<13 2

So now we can say that

Let’s check 24.5 as 24<24.5<25.

The perfect squares near 1000 are 961 and 1024.

Now let’s further increase to 31.7 now.

∴ The area of each scarf = (150/10)m 2 = 15m 2

Or, 14.44<15<15.21

Or, 795.24<800<800.89

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• Rational Numbers Class 8 Case Study Questions Maths Chapter 1

Last Updated on April 30, 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 1 Rational Numbers. It is a part of Case Study Questions for CBSE Class 8 Maths Series.

Table of Contents

Case Study Questions on Rational Numbers

Passage 1: Aditya who is working in a multinational company earns ₹150000 per month. Out of his earnings he spend 1/10th on food items, 1/4th on shopping with family, 1/5th of remaining on education of his two kids and rest of his money he puts in his savings.

Difficulty Level: Easy

On basis of this information given in passage answer the following questions.

Q. 1. How much money he spends on food items? (a) 15000 (b) 1500 (c) 1050 (d) 10500

Q. 2. How much money he spend on shopping? (a) 32000 (b) 37500 (c) 25000 (d) 27500

Q. 3. How much money was left with him after spending on food and shopping? (a) 90000 (b) 95000 (c) 98500 (d) 97500

Ans. Option (d) is correct. Explanation: Total earning = ₹ 150000 Money spent on food and shopping = ₹ 15000 + ₹ 37500 = ₹ 52500 Money left after food and shopping = ₹ 150000 – ₹ 52500 = ₹ 97500

Q. 4. Calculate the amount spend by Aditya on education of children?

Sol. Total money earn by Aditya = ₹150000 Total amount spend by him on shopping and food = ₹52500 Money left = ₹150000 – ₹52500= ₹97500 Money spend on education of children $=\frac{1}{5}$ of Money left $\quad=\frac{1}{5}$ of 97500 = ₹19500

Q. 5. How much money he saved?

Sol. Saving = Total earning – total expenditure = 150000 – (15000 + 37500 + 19500) = 150000 – 72000 = ₹78000. Thus money saved by Aditya is ₹78000.

• 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, download ebooks for cbse class 8 maths rational numbers.

• Rational Number Topicwise Worksheet for CBSE Class 8 Maths

Topics from which case study questions may be asked

• Rational Number and its identification.
• Whole Number, Natural Number and their Properties.
• Difference between Rational and Irrational Number.

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

Frequently Asked Questions (FAQs) on Rational Numbers Case Study

Q1: what is the significance of rational numbers in mathematics.

A1: Rational numbers play a crucial role in mathematics as they represent quantities that can be expressed as fractions of integers. They include both integers and fractions, making them essential for various mathematical operations and real-life applications.

Q2: How are rational numbers defined, and what are their properties?

A2: Rational numbers are defined as numbers that can be expressed in the form p/q ​, where p and q are integers and q≠0. They possess properties such as closure under addition, subtraction, multiplication, and division, as well as the commutative, associative, and distributive properties.

Q3: Can you provide real-life examples where rational numbers are used?

A3: Real-life examples of rational numbers include measurements such as length, mass, and time, as well as quantities like money, fractions of a whole, and ratios in cooking recipes or construction projects.

Q4: What are the key concepts covered in Chapter 1 of CBSE Class 8 Maths regarding rational numbers?

A4: Chapter 1 of CBSE Class 8 Maths covers concepts such as understanding rational numbers, representation on the number line, operations on rational numbers, and solving problems involving rational numbers. More Precisely, (i) Rational Number and its identification. (ii) Whole Number, Natural Number and their Properties. (iii) Difference between Rational and Irrational Number.

Q5: Can you explain the operations (addition, subtraction, multiplication, division) involving rational numbers with examples?

A5: Addition, subtraction, multiplication, and division of rational numbers follow specific rules. For example, to add or subtract rational numbers, we find a common denominator, while for multiplication and division, we multiply or divide the numerators and denominators.

Q6: What are the common misconceptions students have about rational numbers, and how can they be clarified?

A6: Common misconceptions include confusion between rational and irrational numbers, misunderstanding the concept of fractions, and errors in performing operations. These can be clarified through hands-on practice, visual representations, and providing clear explanations of concepts.

Q7: Are there any online resources or tools available for practicing rational number case study questions?

A7: 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.

Q8: What are the important keywords for CBSE Class 8 Maths Rational Numbers?

A8: List of important keywords given below – Natural Numbers: Positive Counting number starting from 1. Whole Number: All natural number together with 0. Rational Number: Numbers which can be expressed in p/q form, where q ≠ 0 and p and q are integers. Fraction: Numbers which can be expressed in form of p/q but are only positive

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