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Case Study Questions for Class 8 Maths

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Case Study Questions for Class 8 Maths

Table of Contents

Here in this article, we are providing case study questions for class 8 maths.

Maths Class 8 Chapter List

Latest chapter list (2023-24).

Chapter 1 Rational Numbers Chapter 2 Linear Equations in One Variable Chapter 3 Understanding Quadrilaterals Chapter 4 Data Handling Chapter 5 Squares and Square Roots Chapter 6 Cubes and Cube Roots Chapter 7 Comparing Quantities Chapter 8 Algebraic Expressions and Identities Chapter 9 Mensuration Chapter 10 Exponents and Powers Chapter 11 Direct and Indirect proportions Chapter 12 Factorisation Chapter 13 Introduction to Graphs

Old Chapter List

Chapter 1 Rational Numbers Chapter 2 Linear Equations in One Variable Chapter 3 Understanding Quadrilaterals Chapter 4 Practical Geometry Chapter 5 Data Handling Chapter 6 Squares and Square Roots Chapter 7 Cubes and Cube Roots Chapter 8 Comparing Quantities Chapter 9 Algebraic Expressions and Identities Chapter 10 Visualising Solid Shapes Chapter 11 Mensuration Chapter 12 Exponents and Powers Chapter 13 Direct and Indirect proportions Chapter 14 Factorisation Chapter 15 Introduction to Graphs Chapter 16 Playing with Numbers

Tips for Answering Case Study Questions for Class 8 Maths in Exam

Case Study Questions for Class 8 Maths

1. Comprehensive Reading for Context: Prioritize a thorough understanding of the provided case study. Absorb the contextual details and data meticulously to establish a strong foundation for your solution.

2. Relevance Identification: Pinpoint pertinent mathematical concepts applicable to the case study. By doing so, you can streamline your thinking process and apply appropriate methods with precision.

3. Deconstruction of the Problem: Break down the complex problem into manageable components or steps. This approach enhances clarity and facilitates organized problem-solving.

4. Highlighting Key Data: Emphasize critical information and data supplied within the case study. This practice aids quick referencing during the problem-solving process.

5. Application of Formulas: Leverage pertinent mathematical formulas, theorems, and principles to solve the case study. Accuracy in formula selection and unit usage is paramount.

6. Transparent Workflow Display: Document your solution with transparency, showcasing intermediate calculations and steps taken. This not only helps track progress but also offers insight into your analytical process.

7. Variable Labeling and Definition: For introduced variables or unknowns, offer clear labels and definitions. This eliminates ambiguity and reinforces a structured solution approach.

8. Step Explanation: Accompany each step with an explanatory note. This reinforces your grasp of concepts and demonstrates effective application.

9. Realistic Application: When the case study pertains to real-world scenarios, infuse practical reasoning and logic into your solution. This ensures alignment with real-life implications.

10. Thorough Answer Review: Post-solving, meticulously review your answer for accuracy and coherence. Assess its compatibility with the case study’s context.

11. Solution Recap: Before submission, revisit your solution to guarantee comprehensive coverage of the problem and a well-organized response.

12. Previous Case Study Practice: Boost your confidence by practicing with past case study questions from exams or textbooks. This familiarity enhances your readiness for the question format.

13. Efficient Time Management: Strategically allocate time for each case study question based on its complexity and the overall exam duration.

14. Maintain Composure and Confidence: Approach questions with poise and self-assurance. Your preparation equips you to conquer the challenges presented.

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math case study examples class 8

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Case Study Questions for CBSE Class 8 Maths

Here we are providing case study questions for CBSE Class 8 Maths. The list of chapters is given below. Student can access the question by clicking on the chapter link.

Chapter List

Chapter 1 Rational Numbers Chapter 2 Linear Equations in One Variable Chapter 3 Understanding Quadrilaterals Chapter 4 Practical Geometry Chapter 5 Data Handling Chapter 6 Squares and Square Roots Chapter 7 Cubes and Cube Roots Chapter 8 Comparing Quantities Chapter 9 Algebraic Expressions and Identities Chapter 10 Visualising Solid Shapes Chapter 11 Mensuration Chapter 12 Exponents and Powers Chapter 13 Direct and Indirect proportions Chapter 14 Factorisation Chapter 15 Introduction to Graphs Chapter 16 Playing with Numbers

Deleted Chapter for Session 2023-24

Chapter 4, Chapter 10 and Chapter 16 are not in syllabus for session 2023-24.

What are Case Study Questions in CBSE Class 8 Maths?

Case based questions are questions that require students to analyze a hypothetical situation or scenario. These types of questions are designed to test a student’s ability to apply their knowledge and understanding of a particular topic to a real-life situation.

How to Solve Case Study Questions for CBSE Class 8 Maths?

To tackle Case Study-Based Questions in Class 8 Maths, students need to carefully observe and analyze the provided information or data. When approaching these questions, it’s crucial to read the passage thoroughly and then proceed to solve them.

When dealing with Class 8 Maths Case Study questions, an effective strategy is to identify and highlight key information or given data. This practice will prove beneficial when formulating the final answers.

A Case Study in Class 8 Maths usually consists of 4 to 5 questions that are answered in a multiple-choice question (MCQ) format. While addressing these MCQs, it’s advisable for students to closely read the paragraph, as it might contain hints related to the discussed topics.

Prior to solving Case Study type questions, it’s recommended to refer to the CBSE Syllabus. This helps in revisiting and reinforcing previous learnings, enhancing preparation and confidence.

By following these simple yet effective steps, students can approach Class 8 Maths Case Study questions with a clearer understanding and better problem-solving skills. This approach not only aids in academic success but also contributes to a deeper grasp of mathematical concepts.

Understanding Case Study Questions in CBSE Class 8 Maths

Case study questions have emerged as a dynamic and engaging approach within the CBSE Class 8 Maths curriculum. These questions deviate from traditional problem-solving by presenting students with real-world scenarios that require the application of mathematical concepts. In essence, case study questions bridge the gap between theoretical knowledge and practical application, fostering a deeper understanding of mathematics.

Exploring the Concept of Case Study Questions

Case study questions involve presenting students with contextualized problems that mimic situations they might encounter in their daily lives. These scenarios are designed to challenge students to think critically, analyze data, and formulate solutions using mathematical principles. By immersing students in such scenarios, educators aim to nurture their ability to solve complex problems in various contexts.

Importance of Case Study Questions in Mathematics Learning

The significance of case study questions lies in their ability to cultivate practical problem-solving skills. Unlike traditional exercises that often focus solely on mathematical manipulation, case studies require students to apply their knowledge to authentic situations. This application not only enhances their comprehension of mathematical concepts but also equips them with valuable life skills, as they learn to approach challenges systematically and logically.

How Case Study Questions Differ from Traditional Problems

The fundamental distinction between case study questions and conventional math problems lies in their context-driven nature. While traditional problems tend to be abstract and formulaic, case study questions introduce variables, uncertainty, and real-world relevance. This dynamic approach encourages students to think multidimensionally, as they must consider factors beyond the mathematical equations themselves.

Benefits of Using Case Study Questions for CBSE Class 8 Maths

The adoption of case study questions in CBSE Class 8 Maths curriculum brings forth a multitude of benefits that extend beyond traditional teaching methods. These advantages stem from the unique nature of case study questions, which encourage active engagement, real-world application, and the development of analytical skills.

Fostering Critical Thinking and Problem-Solving Skills

Case study questions compel students to approach problems from various angles, dissecting complex scenarios and extracting pertinent information. This process cultivates critical thinking by encouraging students to analyze, evaluate, and synthesize data to arrive at well-considered solutions. By navigating through intricate case studies, students hone their ability to tackle multifaceted problems that mirror real-life challenges.

Real-world Application of Mathematical Concepts

One of the paramount advantages of case study questions is their relevance to everyday situations. Students encounter mathematical concepts in action, witnessing firsthand how these principles are embedded in various scenarios. This exposure not only deepens their understanding of theoretical concepts but also helps them appreciate the practical utility of mathematics in diverse contexts.

Enhancing Analytical Abilities through Practical Scenarios

Case study questions promote the development of analytical skills by requiring students to interpret data, identify patterns, and derive meaningful insights. As students engage with intricate case studies, they refine their ability to discern crucial information from irrelevant details, strengthening their capacity to make informed decisions—a skill applicable not only in mathematics but also in various aspects of life.

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Important Questions for CBSE Class 8 Maths 2023-24

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Maths Important Questions for Class 8

Maths is a vast subject. The concept students learn in the lower classes helps in developing skills for higher classes. Thus, solving important questions for class 8 Maths helps students to score good marks.

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Class 8 Maths gives the student a chapter-wise plan to prepare the student for the CBSE class 8 examination. Important questions for class 8 Maths will help the students with practice for exam preparation. The questions are prepared by expert teachers of the subject so that all the topics and concepts are covered.

The important questions for class 8 Mathes will help students to gauge their understanding of the major concepts that are taught in class 8 Maths. By practising them, students will get an idea of what type of questions will be asked in the exam. Solving the important questions of Maths for class 8 CBSE will help students understand the concept well.

To access the important questions for class 8 Maths, students may register at Extramarks.

Class 8 Maths Important Questions – Chapters Covered

There are 16 Chapters and sub-topics that have important questions for class 8 Maths. The list here is created as per the NCERT books and the latest CBSE syllabus and is mentioned below.

 Chapter 1: Rational Numbers

Rational numbers are the numbers that can be represented in the form of p/q, where p and q are integers, and q is not equal to 0.

  • Ex 1.1 Introduction to Rational Numbers
  • Ex 1.2 Properties of Rational Numbers
  • Ex 1.3 Representation of Rational Numbers on the Number Line
  • Ex 1.4 Rational Numbers between Two Rational Numbers

Chapter 2: Linear Equations in One Variable

Linear equations in one variable are algebraic expressions that have only one variable.

  • Ex 2.1 Introduction to Linear Equations in One Variable
  • Ex 2.2 Solving Equations which have Linear Expressions on one Side and Numbers on the Other Side
  • Ex 2.3 Some Applications
  • Ex 2.4 Solving Equations having the Variable on Both Sides
  • Ex 2.5 Some More Applications
  • Ex 2.6 Reducing Equations to Simpler Form
  • Ex 2.7 Equations Reducible to the Linear Form

Chapter 3: Understanding Quadrilaterals

Understanding quadrilaterals teaches different types of quadrilaterals and their properties.

  • Ex 3.1 Introduction to Quadrilaterals
  • Ex 3.2 Polygons
  • Ex 3.3 Sum of the Measures of the Exterior Angles of a Polygon
  • Ex 3.4 Kinds of Quadrilaterals
  • Ex 3.5 Some Special Parallelograms

Chapter 4: Practical Geometry

In this chapter, students will learn to construct the quadrilaterals based on certain given conditions, such as when the dimensions are given for its sides and diagonals or for angles.

  • Ex 4.1 Introduction to Practical Geometry
  • Ex 4.2 Constructing a Quadrilateral
  • Ex 4.3 Some Special Cases

Chapter 5: Data Handling

Students will understand the significance of data and its management in small and large industries.

  • Ex 5.1 Looking for Information – Data Handling
  • Ex 5.2 Organising Data
  • Ex 5.3 Grouping Data
  • Ex 5.4 Circle Graph or Pie Chart
  • Ex 5.5 Chance and Probability

Chapter 6: Squares and Square Roots.

Students will learn how to find squares and square roots for different numbers.

  • Ex 6.1 Introduction to Square and Square Roots
  • Ex 6.2 Properties of Square Numbers
  • Ex 6.3 Some More Interesting Patterns
  • Ex 6.4 Finding the Square of a Number
  • Ex 6.5 Square Roots
  • Ex 6.6 Square Roots of Decimals
  • Ex 6.7 Estimating Square Root

Chapter 7: Cubes and Cube Roots

In this chapter, students will learn to find cube and cube roots for different numbers.

  • Ex 7.1 Introduction to Cubes and Cube Roots
  • Ex 7.2 Cubes
  • Ex 7.3 Cube Roots

Chapter 8: Comparing Quantities

This chapter is based on finding percentage, cost price, selling price, profit, loss, and compound interest.

  • Ex 8.1 Recalling Ratios and Percentages
  • Ex 8.2 Finding the Increase or Decrease in percent
  • Ex 8.3 Finding Discounts
  • Ex 8.4 Prices Related to Buying and Selling (Profit and Loss)
  • Ex 8.5 Sales Tax/Value Added Tax/Goods and Services Tax
  • Ex 8.6 Compound Interest
  • Ex 8.7 Deducing a Formula for Compound Interest
  • Ex 8.8 Rate Compounded Annually or Half Yearly (Semi-Annually)
  • Ex 8.9 Applications of Compound Interest Formula

Chapter 9: Algebraic Expressions and Identities

The chapter teaches students to find the degree of the polynomial, dividing a monomial by monomial, dividing a polynomial by a monomial, and dividing polynomial by polynomial. It also teaches the students to divide the algebraic expression employing factorisation.

  • Ex 9.1 What are Expressions?
  • Ex 9.2 Terms, Factors and Coefficients
  • Ex 9.3 Monomials , Binomials and Polynomials
  • Ex 9.4 Like and Unlike Terms
  • Ex 9.5 Addition and Subtraction of Algebraic Expressions
  • Ex 9.6 Multiplication of Algebraic Expressions: Introduction
  • Ex 9.7 Multiplying a Monomial by a Monomial
  • Ex 9.8 Multiplying a Monomial by a Polynomial
  • Ex 9.9 Multiplying a Polynomial by a Polynomial
  • Ex 9.10 What is an Identity?
  • Ex 9.11 Standard Identities
  • Ex 9.12 Applying Identities

Chapter 10: Visualising Solid Shapes

The chapter introduces some very interesting concepts, such as visualising solid shapes, and views of 3d-shapes like cubes, cylinders, cones, spheres, etc.

  • Ex 10.1 Introduction to Visualising Solid Shapes
  • Ex 10.2 Views of 3D-Shapes
  • Ex 10.3 Mapping Space Around Us
  • Ex 10.4 Faces, Edges and Vertices

Chapter 11: Mensuration

This chapter deals with the measurement of area, perimeter, surface area and volume of different types of shapes.

  • Ex 11.2 Introduction to Mensuration
  • Ex 11.2 Let us Recall
  • Ex 11.3 Area of Trapezium
  • Ex 11.4 Area of a General Quadrilateral
  • Ex 11.5 Area of a Polygon
  • Ex 11.6 Solid Shapes
  • Ex 11.7 Surface Area of Cube, Cuboid and Cylinder
  • Ex 11.8 Volume of Cube, Cuboid and Cylinder
  • Ex 11.9 Volume and Capacity

Chapter 12: Exponents and Powers

Here students will learn how to write large numbers easily using exponents and powers.

  • Ex 12.1 Introduction to Exponents and Powers
  • Ex 12.2 Powers with Negative Exponents
  • Ex 12.3 Laws of Exponents
  • EX 12.4 Use of Exponents to Express Small Numbers in Standard Form

Chapter 13: Direct and Inverse Proportions.

A direct and inverse proportion are applied to determine how the quantities and amounts are correlated with each other.

  • Ex 13.1 Introduction to Direct and Inverse Proportions
  • Ex 13.2 Direct Proportion
  • Ex 13.3 Inverse Proportion

Chapter 14: Factorisation

This chapter deals with writing a given expression as the product of two or more factors is called factorisation.

  • Ex 14.1 Introduction to Factorisation
  • Ex 14.2 What is Factorisation?
  • Ex 14.3 Division of Algebraic Expressions
  • Ex 14.4 Division of Algebraic Expressions Continued (Polynomial ÷ Polynomial)
  • Ex 14.5 Can you Find the Error?

Chapter 15: Introduction to Graphs 

This chapter deals primarily with the representation of data using different graph diagrams.

  • Ex 15.1 Introduction
  • Ex 15.2 Linear Graphs
  • Ex 15.3 Some Applications

Chapter 16: Playing with Numbers

Playing with Numbers, introducing Numbers in General Form, Games with Numbers and Divisibility test by some numbers.

  • Ex 16.1 Introduction
  • Ex 16.2 Numbers in General Form
  • Ex 16.3 Games with Numbers
  • Ex 16.4 Letters for Digits
  • Ex 16.5 Tests of Divisibility

Important Questions For Class 8 Maths Weightage

Practicing important questions for class 8 Maths will build the student’s confidence which will help them to score better during examinations. It will help in building a strong foundation for students. While class 8 Maths’ important questions are crucial, it is also vital to revise all topics under the chapter before trying to solve the important questions. 

All important questions for class 8 Maths are prepared according to the latest syllabus and follow the guidelines set by CBSE, India. Solving these Maths questions for class 8 will assist the students in judging their understanding of the chapter.

Important Questions for Class 8 Maths Chapter Wise

Extramarks important questions for class 8 Maths are equipped with chapter-wise plans for the students to prepare well for the CBSE class 8 examination. The solutions provided for the Maths important questions for class 8 are prepared by subject experts who have got very good teaching experience. These questions are compiled with reference to NCERT Books, several years of examination papers and based on how crucial the topic is for higher studies.

Students can click on the link for chapter-wise important questions for class 8 Maths with solutions.

  • Chapter 1. Rational Numbers
  • Chapter 2. Linear Equation in One Variable
  • Chapter 3. Understanding Quadrilaterals
  • Chapter 4. Practical Geometry
  • Chapter 5. Data Handling
  • Chapter 6. Squares and Square Roots
  • Chapter 7. Cubes and Cube Roots 
  • Chapter 8. Comparing Quantities
  • Chapter 9. Algebraic Expressions and Identities
  • Chapter 10. Visualising Solid Shapes
  • Chapter 11. Mensuration
  • Chapter 12. Exponents and Powers
  • Chapter 13. Direct and Inverse Proportions
  • Chapter 14. Factorisation
  • Chapter 15. Introduction to Graphs
  • Chapter 16. Playing with Numbers

Maths Questions for Class 8 with Answers – Types of Questions

The important questions for class 8 Maths include MCQs, short answer type questions, long answer type questions, and case study-based questions. These questions are a vital part of the study schedule. The chapter-wise important questions are good for students for self-study, which will help them in preparing for examinations. In addition to it, solving sample papers will be a great help for students.

Along with important questions for class 8 Maths, students can use various study materials during revision by clicking the link below.

Important Questions For Class 8 Maths With Solutions

  • CBSE revision notes
  • CBSE Sample papers
  • CBSE previous year question papers
  • CBSE extra questions

Benefits Of Solving Maths Questions for Class 8

Some of the benefits of Extramarks important questions for class 8 Maths include the following.

  • Solving these questions increases the confidence in the student, which in turn helps them to score good marks.
  • Practicing important questions for class 8 Maths helps students to improve in their weak topics.
  •  Solving them helps students to learn the formulae and understand the concepts well.
  • It covers all the important topics that will be asked in the exam.
  • Solving important questions for class 8 Maths increases students’ problem-solving skills and critical thinking abilities.
  • Students will understand the pattern of the question paper and the marking scheme of the exam.
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CBSE Class 8 Maths Important Questions

Chapter 1 - rational numbers.

math case study examples class 8

Chapter 2 - Linear Equations in One Variable

Chapter 3 - understanding quadrilaterals, chapter 4 - practical geometry, chapter 5 - data handling, chapter 6 - squares and square roots, chapter 7 - cubes and cube roots, chapter 8 - comparing quantities, chapter 9 - algebraic expressions and identities, chapter 10 - visualising solid shapes, chapter 11 - mensuration, chapter 12 - exponents and powers, chapter 13 - direct and inverse proportions, chapter 14 - factorisation, chapter 15 - introduction to graphs, chapter 16 - playing with numbers, faqs (frequently asked questions), 1. how are chapter-wise important questions for class 8 maths helpful for students.

The chapter-wise important questions for class 8 Maths can help the students to clear their doubts, improve in their weak topics and prepare themselves for the exam in a better way. They also help with board exam preparation.

2. Which chapter is interesting in class 8 Maths?

Playing with numbers is an interesting chapter in class 8 Mathcs. Students will enjoy puzzles of missing numbers.

3. How to score the highest marks in class 8 Maths?

One can score 90% and above in class 8 Maths by practising important questions for class 8 Maths, solving past  years’ question papers, revision notes, and sample papers.

CBSE Related Links

math case study examples class 8

  • CBSE Maths Important Questions
  • Class 8 Maths

CBSE Important Questions for Class 8 Maths

CBSE Important Questions for Class 8 Maths provides you with chapter-wise strategies to prepare for the CBSE Class 8 examination. We have given these questions to help you prepare for the Class 8 examination based on the CBSE syllabus. Daily practice on these Maths questions will help you to build a strong conceptual knowledge about the subject.

math case study examples class 8

Important questions for Class 8 Maths based on the NCERT syllabus are as follows:

The best way for students to improve their Maths scores is to thoroughly practise all these CBSE Class 8 Important Questions based on the Mathematics concepts. These questions will help the students assess their understanding of all the major concepts introduced in the Mathematics syllabus for CBSE Class 8.

Practise more CBSE Important Questions to have a better idea about the exam pattern.

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math case study examples class 8

Comparing Quantities

Comparing Quantities

Quantity is the extent, size or sum of countable or measurable discrete events, objects or phenomena. One can compare quantities if one has knowledge of ratios, discounts, and percentages. Let’s us learn more about them in detail in the upcoming sections.

Ratios and Percentages

  • In the ratio, a:b, a is called antecedent and b is called consequent.
  • The ratio of two numbers is always expressed in the lowest form. For example, If the ratio of two quantities is 17:34. Then, reduce it to 1:2 [17 X 2 = 34]
  • The order of the ratio is important. If we interchange the antecedent and the consequent then we get a different ratio. For example, 1:2 ≠ 2:1

Maths class 8 Comparing quantities

The antecedent and consequent in a ratio are always whole numbers. When they are not, convert them into whole numbers.

  • Multiple percentages are not additive in nature.

EXAMPLE 1: Two numbers are in the ratio 1:23. On adding 4 to the first and 5 to the second, their ratios become 1:13. Find the numbers.

SOLUTION:  Let the numbers be 1x and 23x.

Adding 4 to the first number, we get= 1x + 4

Adding 5 to the second number, we get= 23x + 5

The ratio of new numbers are in the ratio (1x + 4) : (23x + 5) which is equal to 1:13

Thus, (1x + 4) : (23x + 5) = 1:13

(1x + 4)/(23x + 5) = 1/13

13(1x + 4) = 1(23x + 5)             [Doing cross multiplication]

13x + 52 = 23x + 5

x = 4.7 Hence, the numbers are 4.7 and 23X4.7= 108.1 [ANS]

EXAMPLE 2:  Out of the salary of Rs.123456, I kept 1/2 as savings. Out of the remaining money, I spend 47% on food and 18% on rent. How much do I spend on food and house rent?

SOLUTION:  My salary is Rs. 123456

My savings s = 1/2  x  123456 = Rs. 0.61728

Remaining Money= Rs. (123456 - 61728) = Rs. 61728

Amount of money I spend on food = 47% x 61728 = (47/100) x 61728 = 0.47 x 61728

                                                                                                       = Rs. 29012.16

Amount of money I spend on rent = 18% x 61728 = 18/100 x 61728 = 0.18 x 61728

                                                                                                     = Rs. 11111.04

Hence, I spend Rs.29012.16 on food and Rs.11111.04 on rent. 

Increase or Decrease Percent

Maths class 8 Comparing quantities

EXAMPLE 1: The population of a town in a particular year increased by 10%. Next year it decreased by 10%. Find the net increase or decrease percent in the initial population.

SOLUTION: Let the initial population of the town be x. Population increased by= 10% X x= 0.1 X x =0.1x Increase Population= (x+0.1x)= 1.1x Next year, population decreased by= 10% X 1.1x= 0.1 X 1.1x= 0.11x Decreased population= 1.1x- 0.11x= 0.99x 0.99x<x, clearly the population decreased.

Decrease percent = x - 0.99x/x x 100 = 1%

Hence, the decrease in population is 1%. 

EXAMPLE 2: The price of onions increased by 12%. By how much percent should you reduce your consumption in the house so that your expenditure on onions does not increase?

SOLUTION:  Decrease in consumption= {[%Price Increase]/[100 + % Price Increase]} X 100

                                                     = 12/[100 + 12] x 100

                                                     = (12/112) x 100 = 10.7%

 Hence, I should reduce my consumption by 10.7% if the price of onions has increased by 12%.

Hence, I should reduce my consumption by 10.7% if the price of onions has increased by 12%.

Finding Discounts

Maths class 8 Comparing quantities

  • Subtract the discount from the original price For example, Discounted price for the shoes = Rs.(3456 - 414.72)                                              = Rs. 3041.28

EXAMPLE 1: An item marked at Rs.1234 is sold for Rs.567. What is the discount and discount%?

SOLUTION:  Discount Amount= Rs.(1234 – 567)= Rs. 667 Percentage Discount = (Discount Amount)/(Marked Price) X 100                               = 667/1234 X 100                               = 54.05% Hence, Discount= Rs.667; Percentage Discount= 54.05% 

EXAMPLE 2: The list price of a dress is Rs.8901. A discount of 23% is announced on sales. What are the amount of discount on it and its sales price? SOLUTION: Amount of discount= 23% X Rs.8901= Rs.2047.23 Sales Price= Rs.[8901- 2047.23] =Rs.6853.77 Hence, discount amount= Rs2047.23; sales price=Rs.6853.77. [Ans]

Profit & Loss

Cost Price: The price at which an article is purchased is called its cost price. It is abbreviated as CP. 

Maths class 8 Comparing quantities

Selling Price: The price at which an article is sold is called its selling price. It is abbreviated as SP.

Maths class 8 Comparing quantities

If the selling price is more than the cost price, the seller is said to have a profit or gain.

Maths class 8 Comparing quantities

If the selling price is less than the cost price, the seller is said to have incurred a loss.

Maths class 8 Comparing quantities

EXAMPLE 1:  Arya sold two digital cameras at Rs. 30,000 each. On one she gains 12% and on the other, she loses 12%. What percent does she gain/loss on the transaction? SOLUTION:  For the first digital camera:

 Gain= 12%

Let cost price(CP) = Rs. 100

Therefore, Selling Price(SP) = Rs. [100 + 12%/100] X 100= Rs.112

When the selling price is Rs.112, Cost Price is Rs. 100.

When the selling price is Re. 1, Cost Price = Rs. 100/112

When the selling price is Rs.30, 000, Cost Price = Rs. (100/112) x 30000 = Rs. 26785.71

For the second digital camera:

Let cost price is Rs. 100.

Therefore, Selling Price-Rs. (100 - 12) = Rs. 88

When the selling price is Rs.88, cost price is Rs. 100.

When the selling price is Re. 1, cost price is Rs. 100/88.

When the selling price is Rs.30000, Cost Price is Rs. (100/88) X 30000 = Rs.34090.90

The total cost price of two digital cameras = Rs (26785.71+34090.90) = Rs.60876.61

The total selling price of two digital cameras = Rs. 2 X 30000= Rs.60,000

Thus, cost price > selling price, so there is a loss.

Loss CP - SP = Rs. (60876.61 - 60000) Rs. 876.61 

Loss Percentage= Loss/CP X 100 = 876.61/60876.61 X 100 = 1.4% 

Hence, Arya loses 1.4% on the whole transaction. Alternative Method: If two commodities are sold at the same price and the seller gets the same amount of gain & loss on each commodity then the seller always incurs a loss on the whole transaction.

Loss% = [Common Loss or Gain%/10] 2  = [12/10]² = 1.44%. 

EXAMPLE 2:  Krishna bought a laptop for Rs. 123456 and spent Rs.7890 on its spares. He later sold the laptop for Rs. 234567. Find her gain or loss percent.

  SOLUTION:  Cost price includes the overhead expenses also.

Therefore, cost price = Rs. (123456 + 7890) = Rs. 131346

And SP = Rs. 234567

Since Selling Price > Cost Price, there is a profit.

Profit = SP - CP = Rs. [234567 - 131346] = Rs.103221

Profit% = Profit/CP X 100 = 103221/131346 x 100 = 78.5%

Hence, her total profit is 78.5%. 

Sales Tax / Value-Added Tax

Sales Tax is calculated on the sales price.

Maths class 8 Comparing quantities

  • Value Added Tax (VAT) is a tax on the value added at each transfer of goods, from the original manufacturer to the retailer. For example, Assuming the rate of tax is 12% and a person purchases an article for Rs.345. The tax he pays= Rs.(12% X 345) = Rs. 41.4 Now, if he sells the same article for Rs. 678 The tax he recovers= Rs.(12% X 678) = Rs. 81.36 VAT = Tax recovered on the sale – Tax he paid on the purchase        = Rs.(81.36 – 41.4) = Rs.39.96

EXAMPLE 1: Swathi bought the following articles from a departmental store

Calculate the total bill paid, including sales tax paid by Swathi to the departmental store.

SOLUTION: Cost price of 3 dress= Rs.1234 X 3 = Rs.3702 Sales tax on dresses = Rs. (12% X 3702) = Rs. 444.24 Amount paid for 3 dresses = Rs(3702+444.24) = Rs 4146.24

Cost price of 2 bags= Rs 567 X 2 = Rs 1134 Sales Tax on 2 bags = Rs (3% X 1134) = Rs 34.02 Amount paid for 2 bags = Rs(34.02+1134) = Rs1168.02

Cost Price of 1 Laptop = Rs89012 Sales Tax on Laptop = Rs. (4% X 89012) = Rs.3560.48 Amount paid for 1 laptop = Rs. (89012 + 3560.48) = Rs.92572.48

Cost Price of 2 dinner set = Rs. (2 X 345) = Rs. 690 Sales Tax on 2 dinner sets= Rs(5% X 690) = Rs.34.5 Amount paid for 2 dinner sets = Rs.(34.5+690) = 724.5

Hence, total amount of bill = Rs.[4146.24+1168.02+92572.48+724.5) = Rs.98611.24

EXAMPLE 2: A shopkeeper bought an AC at a discount of 12% from the wholesaler, the printed of the AC is Rs.34567. The shopkeeper sells it to a consumer at a discount of 8% on the printed price. If the rate of sales tax is 9%, find i) the VAT paid by the shopkeeper. ii) the total amount that the consumer pays for the AC.

SOLUTION: M.P. = Rs.34567 Discount= 12% for shop-owner Discount = 8% for consumer Sales Tax = 9%

Discount for shopkeeper = Rs.(12% X 34567) = Rs. 4148.04 Cost for Shopkeeper = Rs(34567 – 4148.04) = Rs. 30418.96 Cost for Consumer = Rs(34567 – (8% X 34567)) = Rs. 31801.64

  • Tax charged by the shopkeeper= Rs.(9% X 31801.64) = Rs. 2862.1476 Tax paid by the shopkeeper = Rs.(9% X 30418.96) = Rs.2737.7064 Hence, VAT paid by the shopkeeper = Rs.(2862.1476 – 2737.7064) = Rs. 124.44
  • Amount paid by the consumer = Rs.(31801.64 +2862.1476) = Rs. 34663.78[Ans]

Compound Interest

  • Compound Interest is the interest calculated on the principal amount and also on the accumulated interest of previous periods.

When interest is compounded annually:

Maths class 8 Comparing quantities

When interest is compounded half-yearly:

Maths class 8 Comparing quantities

When interest is compounded quarterly:

Maths class 8 Comparing quantities

When interest is compounded annually but the time is in fraction, say 1 2/3 years

Maths class 8 Comparing quantities

When rates are different for different years say R1%, R2%, and R3% for three consecutive years, then:

Maths class 8 Comparing quantities

EXAMPLE 1:  Calculate the amount and compound interest on Rs.12, 345 for 6 7/8 years at 9% per annum compounded annually.

Amount = Rs. 12345 X [1 + 9/100] 6  x [1 + {(7 x 9/8)/100}] = Rs. 22334.22 

Compound Interest = Amount - P = Rs.(22334.22 - 12345) = Rs. 9989.22 

EXAMPLE 2:  Sonal borrowed Rs.23456 from a Bank to buy a bike at a rate of 7% p.a. compounded yearly. What amount will she pay at the end of 8 years and 9 months to clear the loan?

SOLUTION: 9 months = 9/12 years = 3/4 years

Total years = 8 ¾  years

Amount = Rs.23456 x [1 + 7/100] 8  × [1 +3 x 7/4/100] = 42,417.61 

Practice these questions

Q1) The ratio of the number of boys and a number of girls in a school of 1234 students is 5:6. If 78 new boys are admitted, find how many new girls should be admitted to make the ratio 1:2.

Q2) Rachel gets 91 marks in her exam. These are 23% of the total marks. Find the Maximum number of marks.

Q3) Increase 123 by 4% and then decrease it by 5%. Find the final number.

Q4) The marked price of a water cooler is Rs. 14650. The shopkeeper offers an off-season discount of 8% on it. Find its selling price.

Q5) Monica bought 2 dozen eggs for Rs. 156. Since 7 of them broke, he incurred a loss of Rs.120 on selling them. What was the selling price of one egg?

Q6) A manufacturer printed the price of his goods as Rs.1120 per article. He allowed a discount of 4% to the wholesaler who in his turn allowed a discount of 3% on the printed price to the retailer. If the prescribed rate of sales tax on the goods is 5% and the retailer sells it to the consumer at the printed price then find the value-added tax paid by the wholesaler and the retailer.

Q7) Vivan took a loan of Rs. 654987 from the bank. If the company charges interest at 15% per annum, compounded quarterly, what amount will discharge his debt after one year?

  • The percentage is not cumulative in nature.
  • Sales tax is are collected by the retailer when the final sale in the supply chain is reached via a sale to the end consumer.
  • Compound Interest is the interest calculated on the initial principal and also on the accumulated interest of previous periods of a deposit or loan.

Quiz for Comparing Quantities

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CBSE Class 8 Maths Sample Papers 2023-24 PDF (Free Download)

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Many students don’t achieve or score high marks in their annual examination because they don’t prepare for the exam properly. Therefore, subject matter experts at Selfstudys have prepared the CBSE Class 8 Maths Sample Papers to help students in their exam preparation.

These class 8 CBSE sample paper Maths are prepared by referring to the prescribed CBSE Class 8 syllabus. Those students who are preparing for their Class 8 annual examination will have to cover their whole syllabus as well as practice tons of questions before the board exam starts.

CBSE Class 8 Maths Sample Papers with Solutions

Since the Maths questions vary in difficulty levels, students may face trouble in answering all the given problems. Therefore, our subject matter experts have solved the entire set of CBSE Class 8 Maths Sample Papers in an easy to understand manner. 

Here on this page, we provide the CBSE Class 8 Maths sample papers with solutions in PDF file format. Referring to these CBSE class 8 Maths sample papers with solutions PDF, students can easily enhance their performance in the Maths examination, because the questions are solved by our subject matter experts keeping in mind the understanding level of a student. They have also kept in mind the CBSE Class 8 Syllabus and exam pattern.

Set Wise CBSE Class 8 Maths Sample Papers

The more you practice the better you become, our experts believe in this quote and that is why they have prepared the CBSE Class 8 Maths Sample papers in set wise format. On Selfstudys, students are free to download the sample question paper for class 8 Maths CBSE in a set wise format. 

CBSE Class 8 Maths Sample Paper 2024 Set 1

CBSE Class 8 Maths Sample Paper 2024 Set 2

CBSE Class 8 Maths Sample Paper 2024 Set 3

CBSE Class 8 Maths Sample Paper 2024 Set 4

CBSE Class 8 Maths Sample Paper 2024 Set 5

CBSE Class 8 Maths Sample Paper 2024 Set 6

CBSE Class 8 Maths Sample Paper 2024 Set 7

CBSE Class 8 Maths Sample Paper 2024 Set 8

CBSE Class 8 Maths Sample Paper 2024 Set 9

CBSE Class 8 Maths Sample Paper 2024 Set 10

CBSE Class 8 Maths Sample Papers (Term-1) 2021-22 Set - 1

CBSE Class 8 Maths Sample Papers (Term-1) 2021-22 Set - 2

CBSE Class 8 Maths Sample Papers (Term-1) 2021-22 Set - 3

CBSE Class 8 Maths Sample Papers (Term-1) 2021-22 Set - 4

CBSE Class 8 Maths Sample Papers (Term-1) 2021-22 Set - 5

CBSE Class 8 Maths Sample Papers Term-I 2021 Set - 1

CBSE Class 8 Maths Sample Papers Term-I 2021 Set - 2

CBSE Class 8 Maths Sample Papers Term-I 2021 Set - 3

CBSE Class 8 Maths Sample Papers Term-II 2021 Set - 1

CBSE Class 8 Maths Sample Papers Term-II 2021 Set - 2

The great advantage of referring to the Set Wise CBSE Class 8 Maths Sample Papers is that it provides numerous questions that follow the actual annual exam pattern and the syllabus. Apart from this, the PDF that we provide here contains CBSE class 8 Maths sample papers with solutions.

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Why Someone Needs CBSE Class 8 Maths Sample Papers 

Those who want to learn about the questions, their types, marking weightage, etc. need to refer to the CBSE Class 8 Maths Sample Papers. It not only helps in this, but Maths Sample Question Papers are very helpful in practicing tons of unique questions.

Also, if someone has fear of exams and its environments, they can refer to the sample paper of class 8 Maths CBSE SA2, SA1 or any types of class 8 Maths papers that can help them to be thorough with the whole Maths syllabus.

Who Needs CBSE Class 8 Maths Sample Papers

  • Those Class 8 students who are studying at a CBSE affiliated school need CBSE Class 8 Maths Sample papers. 
  • Students who want to be thorough with plenty of questions
  • Students looking for additional Maths questions to practice apart from their CBSE Class 8 Maths Book.
  • Those who have fear of classroom tests or annual examination

Is it Worth to Use CBSE Class 8 Maths Sample Papers

Solving the CBSE Class 8 Maths Sample Papers is worthy as it helps students to understand the questions' difficulty. It also allows them to solve the Maths questions that are given in their CBSE Class 8 Maths Syllabus.

Being thorough with the CBSE sample paper of class 8 Maths enables students to revise the topics and subtopics they covered earlier in their classrooms. Apart from all these worthy points, the class 8 CBSE sample paper Maths is helpful in doing the last minute exam preparation.

When is The Right Time to Solve Class 8 CBSE Sample Paper Maths

A CBSE class 8 student can solve class 8 CBSE sample paper Maths anytime they want, but ideally it should be referred about 3 months before the CBSE class 8 Maths half yearly exam or annual exam begins. 

However, there is no hard and fast rule for this tool to use. The sample papers are beneficial for solving various types of questions and so a student can refer to it whenever they want.

Use Class 8 Maths Sample Papers to Know Everything About Annual Exam Before Appearing in Them

Our subject matter experts and the teachers suggest the students: use a sample question paper for class 8 Maths CBSE before appearing in the annual examination. Doing so helps understand what types of Maths questions are asked. Whether the questions are from the syllabus or outside the syllabi. If the questions are from the syllabus, then what Maths topics are necessary to cover to score good marks? And how much time is required to solve the whole question paper of Class 8 Maths?

This information is helpful and assists in preparing for the CBSE Class 8 Maths annual examination. Therefore, students should use class 8 Maths sample papers to know everything about annual exams before appearing in them.

Benefits of Practicing CBSE Class 8 Maths Sample Papers

A set of CBSE class 8 Maths sample papers means a collection of the questions that follow the final exam pattern. Solving such questions before the final examination provides students with support in developing a deeper understanding on how the questions should be answered in the Maths examination. Apart from this, there are a few more benefits of practicing CBSE class 8 Maths sample papers:

  • It helps in revision
  • Assist students to be thorough with the Maths questions so that answering them in the exam could be easier.
  • CBSE sample paper of class 8 Maths also enables the students to do the self-analysis. Means they can analyse their level of understanding very easily.

Study Tips for Annual Exam Using CBSE Class 8 Maths Sample Papers with Solution

Maths subjects require an immense attention of a learner. It is an easy subject to score good marks, but students will have to pay very close attention to types of questions that are asked in the examination such as MCQs, Short answer types of questions, Long answer types of questions, fill in the blanks, etc. However, here are some of the study tips for the annual exam preparation using CBSE Class 8 Maths Sample Papers with Solution.

  • Before using the CBSE sample paper of class 8 Maths to prepare for the exam, firstly cover the whole CBSE Class 8 Syllabus for Maths.
  • Once done with the Maths syllabus go for a quick revision of the entire topics you have studied.
  • Then refer to the sample question paper for class 8 Maths CBSE to check where you lack in the preparation. The CBSE class 8 Maths annual exam sample papers is an ideal study tool that helps students discover the advanced level of questions that may be asked in the actual annual examination.

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  • Important Questions for CBSE Class 8 Maths (2024-25)

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CBSE Class 8 Maths Important Questions - Chapter wise Solutions - Free PDF Download

Class 8 Maths has the ideal syllabus with chapters focusing on important topics. These chapters have been included by the CBSE board to develop the fundamental concepts related to these topics. Hence, students will need the support of the complete study material along with the Class 8 Maths term 2 Important Questions with Solutions for all chapters. These questions have been framed by the experts by following the CBSE guidelines . The solutions to these questions will enable students to develop their answering skills accordingly.

Get here all the important questions for class 8 maths as free PDF downloads to enhance your exam preparation. These solutions are prepared by our subject matter experts with very vast teaching experience. The class 8 maths important questions have covered all the significant chapters and related important questions. Along with the important questions, you will find respective elaborate step-by-step answers in class 8 maths extra questions. Scroll down and download today all the maths questions for class 8 with answers to enhance your exam scores. The Important Questions for Class 8 Maths NCERT CBSE Board PDF can be downloaded by simply visiting Vedantu.com. Vedantu also provides NCERT Solutions for all subjects and classes for free.   

You can also Download NCERT Solution for Class 8 Science to help you to revise the complete Syllabus and score more marks in your examinations.

Significance of CBSE Class 8 Maths Term 2 Important Questions with Solutions

There are 16 chapters included in the Class 8 Maths syllabus covering topics related to various arithmetic, algebra and geometry concepts. All these chapters need proper attention from the students to complete the preparation. For this, they can solve the important questions developed by the experts. These questions come with answers so that students can relate to the topics and carry on with preparing with an exam syllabus .

Solving these Important Questions for Class 8 Maths Board Exam will enable students to find out how the experts have framed the answers by following the concepts and topics included in each chapter. The solutions will enable students to focus on how to proceed with the preparation chapters too. By comparing their answers to the solutions, they can easily find out where they need to focus more.

They can also use the solutions to find out the ideal ways of attempting these questions and develop their answering skills. They will also learn to use the concepts and formulas studied in the chapters to compile precise answers.

Advantages of CBSE Important Questions for Class 8 Maths Board Exam

The questions have been compiled for all the chapters to form individual files. These files can be found in the list given on this page. Hence, you can add more convenience to your preparation.

Solving these questions will enable you to make your practice sessions more productive. You will find new questions suggested by the experts to study and solve. Broaden your preparation by using these question papers for all chapters.

Use the solutions to resolve doubts related to these important questions faster. Discover which part of these chapters needs more attention and make your preparation stronger.

Download CBSE Class 8 Maths Important Questions 2024-25 PDF

Also, check CBSE Class 8 Important Questions for other chapters:

Chapterwise Important Questions for CBSE Class 8 Maths

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Maths Questions For Class 8 With Answers

Maths is a very vast subject. The concepts from lower classes are linked to the topics in higher classes. Maths is one such subject, where there are high chances for you to score a centum. To be able to do so, you should know your basics well. Along with it, you need to have repeated practise with sums apart fro the ones given in the NCERT solutions . This is where the extra questions for class 8 maths pdf come into play. These free downloadable pdfs of class 8 maths extra questions cover all the additional questions from the entire syllabus chapter-wise, along with solutions.

Class 8 Maths Important Questions - Question-wise Analysis

Question 1 - this set of questions are called Very short answer type of Questions. The questions here are of one mark each. The problems in this section will look simple but tend to be very tricky at times. The answers expected here will take only one or two steps to get the solution provided you have a proper conceptual understanding of the question asked. The various types of very short answer type questions that would be asked are

Fill in the blanks - Here you are expected to complete the sentences to make them meaningful. These sentences tend to be usually part of various theories of mathematical statements which you need to complete. 

State whether the following are True or False - In this section, statements or expressions are given and you have to solve them or analyze them and state whether they are true or false. 

Choose the correct option - This section tend to come very rarely in Maths paper, but it is always safe to be aware of them.in this type of problems, each question has four options. But only one of the four options is the correct answer. You are supposed to figure out the correct answer. These kinds of questions are a sure-shot way of obtaining marks. However, they are possible only with regular practice. 

Question and Answer - maths is not a theoretical subject. Therefore you cannot expect questions with huge answers. However, you can always expect one-line answer questions related to definitions or examples. 

Question 2 - Question two of the extra questions for class 8 maths are also known as Short answer questions. In this segment, each and every question carries Two marks each. Questions here are generally asking two or three steps to get the answer. These questions are usually asked from chapters that are more related to basics. 

Question 3 -  Maths questions for class 8 with answers also have short answer type questions.  Here, each and every question carries three marks. The question in this section tends to get more definitive. It is advisable for you to write without missing each and every step. The same is being followed in the given solutions. 

Question 4 - Important questions with answers for class 10  Maths Question 4 is called the Long Answer Type Questions. All the questions here carry five marks each. Therefore the answers are expected to be more elaborated. The answers here are supposed to be given in a very detailed step by step procedure. The same as been followed while preparing the solutions for important questions for class 8 maths. 

Important Questions For Class 8 Maths With Solutions

Apart from solving class 8 maths important questions, here are a few essential tips to perform  well in Maths:

Make memory cards for formulas. This will make you accurate with the formulas allowing you to easily apply the same. 

Get all the doubts cleared as and when possible as they tend to become a barrier for following concepts. 

Along with important questions and NCERT books , do not forget to refer to CBSE Previous Year Question Papers Class 8 Maths, sample papers and revision notes. 

Solving the extra questions for class 8 maths is very important in order to score high marks in the exam. A lot of small yet important questions and concepts tend to get slipped away in NCERT book exercises or revision notes. Problems based on these concepts are given here chapter-wise in class 8 maths extra questions along with detailed solutions. Download them here today as free PDF downloads and incorporate them in your study process.

CBSE Class 8 Maths Unit-Wise Marks Weightage - 2024-25

Cbse class 8 maths study materials, other cbse class 8 important questions related links, download class 8 maths important questions with answers pdf.

Use the Class 8 Maths Important Questions with Answers PDF 2024 for all the chapters and redefine your approach to this subject. Take a step ahead of the competition by understanding the best methods to solve fundamental questions. Practice using these solutions and escalate your answering skills. Strengthen your conceptual foundation by solving these questions and referring to the solutions and ace the Class 8 Maths exams.

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FAQs on Important Questions for CBSE Class 8 Maths (2024-25)

1. Why should you refer to the important questions for CBSE Class 8 Maths on Vedantu?

Rational Numbers, Square Roots, Cube Roots, Data Handling, Factorization, are some of the topics included in the CBSE Class 8 Mathematics syllabus. On Vedantu, you will find a chapter-wise explanation, important questions, and NCERT solutions for all the chapters covered in the Mathematics syllabus of class 8. These important questions are prepared by our subject-matter experts and you can get a question-wise analysis for every chapter. This will help you get a clear understanding of all the concepts introduced in CBSE class 8 Mathematics. Also, you will get to know the correct problem-solving approach for every type of sum in your syllabus. The chapter-wise PDFs of important questions can be downloaded for free on your computers, laptops, tablets, or smartphones.

2. What are the chapters covered in the important questions for CBSE Class 8 Maths?

The chapters covered in the important questions for CBSE Class 8 Maths are as follows.

Rational Numbers

Linear Equations in one variable

Understanding Quadrilaterals

Practical Geometry

Data Handling

Squares and Square Roots

Cubes and Cube Roots

Comparing Quantities

Algebraic Expressions and Identities  

Visualising Solid Shapes

Mensuration

Exponents and Powers

Direct and Inverse Proportions

Factorization

Introduction to Graphs

Playing with Numbers

A thorough understanding of these above concepts will lay the foundation for higher mathematics. Referring to the example sums, the important questions, and NCERT solutions of CBSE Class 8 Mathematics will help you understand the required logical problem-solving approach for these concepts.

3. Which type of questions of CBSE Class 8 Mathematics are easiest to score?

You may expect easy questions from the basic concepts and theories of your Mathematics syllabus in the first part of the CBSE class 8 Mathematics question paper. These are the ‘very short-answer type questions’ and generally involve one or two-step solutions. Hence these will not take much time.

At times, these questions are tricky so you have to understand properly what is to be calculated. These questions include ‘stating if a statement is true or false’, ‘fill in the blanks’, ‘Choose the correct answer’, and ‘question and answers’. Each of these questions carries 1 mark.

4. Will practicing the important questions for CBSE Class 8 Mathematics help to improve my maths score?

Yes, your maths score is likely to improve if you practise all the important questions for CBSE Class 8 Mathematics thoroughly. These questions will help you assess your understanding of the concepts introduced in your Mathematics syllabus for class 8. There will be 1 mark, 2 marks, 3 marks, and 5 marks questions in the CBSE Class 8 Mathematics question paper. The important questions and solutions for CBSE Class 8 Mathematics on Vedantu consist of all these types of questions. Referring to these questions will help you identify your problem areas and address your doubts. Hence, paving the way for better preparation for your maths examination.

5. What is the blueprint of the Class 8 Maths question paper?

The blueprint of the Class 8 Maths question paper is as follows; 

There are ten very short answer type questions in the question paper. Here, each question carries one mark. 

The question paper will have six short answer type questions and each question carries two marks. The total mark of this section is 12. 

The Class 8 Maths question paper consists of six short answer type questions. Each question carries three marks thus, having a total of 18 marks. 

The paper has six long answer type questions. Each question has five marks. This section carries 13 marks. 

Hence, there will be 28 questions in the paper. And the grand total of the question paper is 70 marks.

6. How to download chapter-wise PDF Solutions of Class 8 Maths?

To download a chapter-wise PDF Solutions of Class 8 Maths, go through the given steps. 

Firstly, you have to visit the Vedantu website (vedantu.com). 

You will be redirected to the webpage of Vedantu. Now search for Class 8 Maths Solutions. 

Here, you will have the facility of downloading chapter-wise solutions in a PDF format free of cost. 

On this webpage, you will see a list of different chapters that are mentioned in the NCERT Maths textbook. 

Select a chapter of your wish for which you require the PDF Solutions. 

Click on the download icon to get the PDF. 

You can also download the PDF solutions from the Vedantu app.

7. How to make a study plan for Class 8 Maths?

Here’s how you can make a study plan for Class 8 Maths-

Decide your short term and long term goals when you are studying maths. 

Figure out all the chapters that you need to study in the Maths subject. 

Know how you are going to prepare each chapter in Maths. 

Create your daily based schedule. 

Divide your schedule so you can study the subject and accomplish your other tasks. 

Take small breaks in between your study sessions. You can take five to ten minutes of break after studying for 45 to 50 minutes.

8. How can you score more than 90% marks in Class 8 Maths?

If you are a student of Class 8 and aim to score more than 90% marks in Maths then check out the given suggestions. 

Practise last year's sample question paper and other related questions to apply your learnt skills. 

Try to figure out your weak and strong topics. You should focus more on your weak topics and try to strengthen them. You can spend less time on those topics that are clear to you. 

Practise the NCERT Solutions from Vedantu to know the type of questions asked in the examination. 

Ask your doubts from your Math mentors. Make sure that all your doubts are clear before the exam. By clearing your queries, you’ll be able to prepare well for the exam and will get good scores. 

9. What is the chapter-wise weightage of marks in Class 8 Maths?

The chapter-wise weightage of marks in percentage in Class 8 Maths is as follows. 

Rational Numbers- 8%

Linear Equations- 10%

Understanding Quadrilaterals- 9%

Practical Geometry - 8%

Data Handling- 11%

Square and square roots- 12%

Cube and cube roots- 6%

Comparing quantities- 16%

Algebraic identities and expressions- 8%

Visualising solid shapes- 7%

Menstruation - 11%

Exponents and powers- 6%

Direct and inverse propositions- 8%

Factorization- 12%

Introduction to graphs- 4%

Playing with numbers- 10%

Important Questions for CBSE Class 8

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Class 8 Maths

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Edusaksham provides visual and interesting exercises to clarify complex ideas with regards to numerical issues. The concepts instructed in class eighth of CBSE are firmly related to the ideas showed later on in class ninth. Edusaksham class 8 course enables the focus to board tests and other further selection tests like Maths, Science Olympiads and NTSE without any difficulty. Top quality representation methods empower markable enthusiasm for Learning science. Edusaksham platform connects youthful personalities and students in which a subject video addresses student enthusiasm towards the subject and Learning capacity of the student. In CBSE Class 8 for Maths and Science, more consistent models are utilized for explaining complex ideas making simple Learning. Reasonable learning helps students have an edge over others later on while planning for board tests. Edusaksham enables the parents to understand the effect of the classes and how they are profiting by the item.

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Class 8 Maths Subject

Mathematics for class 8.

math case study examples class 8

  • 100+ E-Learning Videos
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• Improved performance – With our scientifically designed content significant improvements in performance will be attained. • Attain the desired IQ – Get the desired IQ in 8th class mathematics with our exhaustive maths models for class 8 CBSE. • Easy tracking of progress – We provide easy tracking facility to help you understand how you are progressing with every step in the course. • Self-paced learning – Every individual has a different learning pace. Keeping that in mind, we have designed the course to be self-paced. • Identify focus areas – Students may be better in certain concepts than others. This course will facilitate them for a better understanding of the areas where they need to focus more. • Build strong foundations – With this course, we aim to help a child understand every concept of the subject so that their foundation in mathematics becomes very strong. • Simple parent’s supervision – Parents will be able to monitor their children’s performance easily with the features provided in the course. • Quick re-learning – Even if a child fails at solving a problem, they will be able to solve the problems again till they get it, thus allowing room for re-learning.

COURSES OFFERED :

• Class 8 – Maths - Part 1 (293 lessons) • Class 8 – Maths – Part 2 (256 lessons) • Class 8 – Exam Revision

  • Chapter 1 - RATIONAL NUMBER
  • Chapter 2 - LINEAR EQUATION IN ONE VARIABLE
  • Chapter 3 - UNDERSTANDING QUADRILATERALS
  • Chapter 4 - PRACTICAL GEOMETRY
  • Chapter 5 - DATA HANDLING
  • Chapter 6 - SQUARE AND SQUARE ROOTS
  • Chapter 7 - CUBES AND CUBE ROOTS
  • Chapter 8 - COMPARISON QUANTITIES
  • Chapter 9 - ALGEBRAIC EXPRESSION AND IDENTITIES
  • Chapter 10 - VISUALIZING SOLID SHAPES
  • Chapter 11 - MENSURATION
  • Chapter 12 - EXPONENTS AND POWERS
  • Chapter 13 - DIRECT AND INVERSE PROPERTIES
  • Chapter 14 - FACTORISATION
  • Chapter 15 - INTRODUCTION TO GRAPHS
  • Chapter 16 - PLAYING WITH NUMBERS

DETAILED SYLLABUS : 1. Rational Numbers 1.1 Introduction to rational number 1.2 Properties of Rational Numbers 1.2.1 Closure 1.2.2 Commutativity 1.2.3 Associativity 1.2.4 The Role of Zero 1.2.5 The Role of 1 1.2.6 Negative of a number 1.2.7 Reciprocal 1.3 Representation of Rational Numbers on the Number Line 1.4 Rational Number between Two Rational Numbers 2. Linear Equation in One Variable 2.1 Linear Equations in One Variable – Introduction 2.2 Linear Equations in One Variable 2.2.1 Solving Equations which have Linear Expressions on one side and Numbers on the other side 2.2.2 Solving Equations having the Variable on both sides 2.2.3 Reducing Equations to simpler form 2.2.4 Equations reducible to the Linear Form 3 Understanding Quadrilaterals 3.1 Introduction 3.2 Polygon 3.2.1 Classification of Polygons 3.2.2 Diagonals 3.2.3 Convex and concave polygons 3.2.4 Regular and irregular polygons 3.2.5 Angle sum property 3.3 Sum of the Measures of the Exterior Angles of a Polygon 3.4 Types of Quadrilaterals 3.4.1 Trapeziums 3.4.2 Kite 3.4.3 Parallelogram 3.4.4 Elements of a parallelogram 3.4.5 Angles of a parallelogram 3.4.6 Diagonals of a parallelogram 3.5 Special Parallelograms 3.5.1 Rhombus 3.5.2 A Rectangle 3.5.3 A Square 4 Practical Geometry 4.1 Constructing a Quadrilateral 4.1.1 When the lengths of four sides and a diagonal are given 4.1.2 When two diagonals and three sides are given 4.1.3 When two adjacent sides and three angles are known 4.1.4 When three sides and two included angles are given 4.2 Some Special Cases 5 Data Handling 5.1 Introduction 5.2 Organising Data 5.3 Grouping Data 5.3.1 Grouping Data 5.3.2 Bars with a difference 5.4 Circle Graph or Pie Chart 5.4.1 Circle Graph or Pie Chart 5.4.2 Drawing pie charts 5.5 Chance and Probability 5.5.1 Getting a result 5.5.2 Equally likely outcomes: 5.5.3 Linking chances to probability 5.5.4 Outcomes as events 5.5.5 Chance and probability related to real life 6 Square and Square Root 6.1 Introduction to Square Roots 6.2 Properties of Square Numbers 6.3 Some More Interesting Patterns 6.4 Finding the Square of a Number 6.4.1 Finding the Square of a Number 6.4.2 Other patterns in squares 6.4.3 Pythagorean triplets 6.5 Square Roots 6.5.1 Finding square roots 6.5.2 Finding square root through repeated subtraction 6.5.3 Finding square root through prime factorisation 6.5.4 Finding square root by division method 6.6 Square Roots of Decimals 6.7 Estimating Square Root 7 Cubes and Cube Root 7.1 Cubes 7.1.1 Cubes 7.1.2 Some Interesting Patterns 7.1.3 Smallest multiple that is a perfect cube 7.2 Cube Roots 7.2.1 Cube Roots 7.2.2 Cube root through prime factorisation method 7.2.3 Cube root of a cube number 7.3 Cube Roots - Cube root using unit digit method 8 Comparing Quantities 8.1 Comparing Quantities 8.1.1 Recalling Ratios and Percentages 8.1.2 Finding the Increase or Decrease Per cent 8.1.3 Finding Discounts 8.1.4 Estimation in percentages 8.2 Prices Related to Buying and Selling (Profit and Loss) 8.3 Sales Tax/Value Added Tax 8.4 Compound Interest 8.4.1 Compound Interest 8.4.2 Deducing a Formula for Compound Interest 8.4.3 Rate Compounded Annually or Half Yearly (Semi Annually) 8.4.4 Applications of Compound Interest Formula 9 Algebraic Expression and Identities 9.1 What are Expressions? 9.2 Terms, Factors and Coefficients 9.3 Monomials, Binomials and Polynomials 9.4 Like and Unlike Terms 9.5 Addition and Subtraction of Algebraic Expressions 9.6 Multiplication of Algebraic Expressions 9.6.1 Multiplying a Monomial by a Monomial 9.6.2 Multiplying two monomials 9.6.3 Multiplying three or more monomials 9.6.4 Multiplying a Monomial by a Polynomial 9.6.5 Multiplying a monomial by a binomial 9.6.6 Multiplying a monomial by a trinomial 9.6.7 Multiplying a Polynomial by a Polynomial 9.6.8 Multiplying a binomial by a binomial 9.6.9 Multiplying a binomial by a trinomial 9.7 Identities 9.7.1 Standard Identities 9.7.2 Applying Identities 10 Visualizing Solid Shape 10.1 Introduction 10.2 Views of 3D-Shapes 10.3 Mapping Space around Us 10.4 Faces, Edges and Vertices 11 Mensuration 11.1 Mensuration – Introduction 11.2 Area of Trapezium 11.3 Area of a General Quadrilateral 11.4 Area of a Polygon 11.5 Surface Area 11.5.1 Cuboid 11.5.2 Cube 11.5.3 Cylinder 11.6 Volume 11.6.1 Cuboid 11.6.2 Cube 11.6.3 Cylinder 11.7 Volume and Capacity 12 Exponents and Powers 12.1 Exponents & Powers 12.2 Powers with Negative Exponents 12.3 Laws of Exponents 12.4 Use of Exponents to Express Small Numbers in Standard Form 12.4.1 Use of Exponents to Express Small Numbers in Standard Form 12.4.2 Use of Exponents to Express Small Numbers in Standard Form - Comparing very large and very small numbers 13 Direct and Inverse Proportion 13.1 Direct Proportions 13.2 Inverse Proportions 14 Factorization 14.1 Factorization 14.1.1 Factors of natural numbers 14.1.2 Factors of algebraic expressions 14.1.3 Method of common factors 14.1.4 Factorisation by regrouping terms 14.1.5 Factorisation using identities 14.1.6 Factors of the form ( x + a) ( x + b) 14.2 Division of Algebraic Expressions 14.2.1 Division of a monomial by another monomial 14.2.2 Division of a polynomial by a monomial 14.3 Division of Algebraic Expressions Continued (Polynomial ÷ Polynomial) 14.4 Can you Find the Error? 15 Introduction to Graphs 15.1 Introduction to Graphs 15.1.1 A Bar Graph 15.1.2 A Pie graph (or a circle-graph) 15.1.3 A histogram 15.1.4 A line graph 15.2 Linear Graphs 15.2.1 Location of a point 15.2.2 Coordinates 15.3 Application of Graphs 16 Playing with Numbers 16.1 Playing with Numbers 16.1.1 Numbers in General Form 16.1.2 Games with Numbers 16.1.3 Letters for Digits 16.2 Tests of Divisibility 16.2.1 Divisibility by 10 16.2.2 Divisibility by 5 16.2.3 Divisibility by 2 16.2.4 Divisibility by 9 & 3

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Unit 11: Compound interest

Percent change word problems.

  • Percent word problem: penguins (Opens a modal)
  • Percent word problem: magic club (Opens a modal)
  • Percent word problems Get 5 of 7 questions to level up!
  • Percentage change word problems Get 3 of 4 questions to level up!

Compound interest

  • Intro to compound interest (Opens a modal)
  • Solved example: compound interest (Opens a modal)
  • Find compound interest Get 3 of 4 questions to level up!
  • Word problems on compound interest Get 3 of 4 questions to level up!

IMAGES

  1. case study questions class 8 maths understanding quadrilaterals

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  2. (PDF) A case study in Math Education: Mathematics Education to Adult

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  3. CLASS 8 : mathematics NCERT: CHAPTER 5 :DATA HANDLING-CASE STUDY -5

    math case study examples class 8

  4. NCERT Solutions Class 8 Maths Chapter 8 Comparing Quantities

    math case study examples class 8

  5. NCERT Solutions Class 8 Maths Chapter 6 Squares and Square Roots

    math case study examples class 8

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    math case study examples class 8

VIDEO

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COMMENTS

  1. Case Study Questions for Class 8 Maths

    Tips for Answering Case Study Questions for Class 8 Maths in Exam. 1. Comprehensive Reading for Context: Prioritize a thorough understanding of the provided case study. Absorb the contextual details and data meticulously to establish a strong foundation for your solution. 2.

  2. CBSE 8th Standard CBSE all Case study Questions Updated

    Learning APP for Students. CBSE 8th Standard CBSE all question papers, important notes , study materials , Previuous Year questions, Syllabus and exam patterns. Free 8th Standard CBSE all books and syllabus online. Practice Online test for free in QB365 Study Material. Important keywords, Case Study Questions and Solutions.

  3. CBSE Class 8th Maths Value Based Questions PDF Download

    CBSE Maths Value Based Questions for Class 8th download here in PDF format. The most CBSE Maths Value Based Questions for annual examination are given here for free of cost. The additional questions for practice the Class 8th exam are collected from various sources. It covers questions asked in previous year examinations.

  4. Case Study Questions for CBSE Class 8 Maths

    This practice will prove beneficial when formulating the final answers. A Case Study in Class 8 Maths usually consists of 4 to 5 questions that are answered in a multiple-choice question (MCQ) format. While addressing these MCQs, it's advisable for students to closely read the paragraph, as it might contain hints related to the discussed topics.

  5. Class 8 maths (India)

    Unit 8: Algebraic expressions and identities. 0/1100 Mastery points. Addition and subtraction Multiplying monomials by monomials Multiplying monomials by polynomials. Multiplying binomials Standard identities Polynomials word problems.

  6. CBSE Sample Papers for Class 8 Maths

    Here we have provided a set of solved sample papers and 5 sets of unsolved CBSE Sample Papers for Class 8 Maths. These papers are designed by the subject experts and are as per the CBSE exam pattern. These papers cover all the important topics of the Syllabus. Students can download the CBSE Class 8 Maths sample papers from the table below.

  7. CBSE Maths Questions for Class 8 for the Year 2023-24

    The important questions for class 8 Maths include MCQs, short answer type questions, long answer type questions, and case study-based questions. These questions are a vital part of the study schedule. The chapter-wise important questions are good for students for self-study, which will help them in preparing for examinations.

  8. CBSE Important Questions for Class 8 Maths

    49,604. Important questions for Class 8 Maths based on the NCERT syllabus are as follows: Important Questions for Class 8 Maths Chapter-wise. Important Questions Chapter 1 - Rational Numbers. Important Questions Chapter 2 - Linear Equations in One Variable. Important Questions Chapter 3 - Understanding Quadrilaterals.

  9. Linear equations in one variable

    Class 8 (Old) 14 units · 96 skills. Unit 1. Rational numbers. Unit 2. Linear equations in one variable. ... Math; Class 8 (Old) Unit 2: Linear equations in one variable. 800 possible mastery points. Mastered. Proficient. ... Worked example: two-step equations (Opens a modal) Equation with variables on both sides: fractions (Opens a modal)

  10. Case study Class 8 l Mensuration Based Questions

    #MathDecode #math #mathtricks #8math #casestudy#examtips Case study based Questions of mathematics. Chapter : MensurationPlease Like , subscribe and Share to...

  11. Factorisation

    Class 8 (Old) 14 units · 96 skills. Unit 1. Rational numbers. Unit 2. Linear equations in one variable. ... Math; Class 8 (Old) Unit 11: Factorisation. 1,100 possible mastery points. Mastered. Proficient. Familiar. Attempted. Not started. ... Worked example: finding the missing monomial factor (Opens a modal)

  12. Class 8 Comparing Quantities

    EXAMPLE 1: Two numbers are in the ratio 1:23. On adding 4 to the first and 5 to the second, their ratios become 1:13. Find the numbers. SOLUTION: Let the numbers be 1x and 23x. Adding 4 to the first number, we get= 1x + 4. Adding 5 to the second number, we get= 23x + 5.

  13. PDF Grade 8 / Case Study 1: MATH

    PAGE 6Understanding Pr ficiency. Grade 8 / Case Study 1 ATH 4SAE AANCE PEOANCE AS. Overview of Student's Performance. This student's responses show a strong understanding of the task throughout each of the items in the problem set. S/he determined that the stack of 8 cups was 28 centimeters tall. The work presented in item 2 provides ...

  14. CBSE Class 8 Maths Sample Papers 2023-24 PDF (Free Download)

    On Selfstudys, students are free to download the sample question paper for class 8 Maths CBSE in a set wise format. CBSE Class 8 Maths Sample Paper 2024 Set 1. CBSE Class 8 Maths Sample Paper 2024 Set 2. CBSE Class 8 Maths Sample Paper 2024 Set 3. CBSE Class 8 Maths Sample Paper 2024 Set 4.

  15. CBSE Class 8 Maths Important Questions 2024-25

    Class 8 Maths has the ideal syllabus with chapters focusing on important topics. These chapters have been included by the CBSE board to develop the fundamental concepts related to these topics. Hence, students will need the support of the complete study material along with the Class 8 Maths term 2 Important Questions with Solutions for all chapters. . These questions have been framed by the ...

  16. Latest CBSE Class 8 Mathematics Study Material & Practice Paper

    Mathematics for Class 8. 100+ E-Learning Videos. 100 Conceptual Notes for Class 8 maths. 300+ self-indulging friendly worksheets. 2200+ Questions. Detailed Explanations for each question. Difficulty Levels viz. for each test. See the Complete Details Enroll for Free.

  17. Classroom Case Studies, Grades 6-8

    Using video case studies, observe what teachers do to develop students' algebraic thinking and investigate ways to incorporate algebra into K-8 mathematics curricula. This video is for the 6-8 grade band. In This Grade Band: Part A: Classroom Video. Part B: An Example for Developing Algebraic Thinking. Part C: Patterns That Illustrate Algebraic ...

  18. Compound interest

    Math; Class 8; Unit 11: Compound interest. 400 possible mastery points. Mastered. Proficient. Familiar. Attempted. Not started. ... Solved example: compound interest (Opens a modal) Practice. ... Our mission is to provide a free, world-class education to anyone, anywhere. Khan Academy is a 501(c)(3) nonprofit organization. Donate or volunteer ...

  19. PDF Real Numbers- Case Study Case Study 1

    POLYNOMIALS- CASE STUDY CASE STUDY 1: The below picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.

  20. Applied Sciences

    The study sample included four patients (three males and one female, aged 18 to 34 years) with skeletal Class III malocclusion, three of whom underwent a bimaxillary surgery and one of whom underwent only a bilateral sagittal split osteotomy. ... A Case Series Study of Skeletal Class III Malocclusions" Applied Sciences 14, no. 8: 3529. https ...