Last Updated on July 31, 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.

Chapter | Rational Numbers |

Type of Questions | Case Study Questions |

Nature of Questions | Competency Based Questions |

Board | CBSE |

Class | 8 |

Subject | Maths |

Useful for | Class 8 Studying Students |

Answers provided | Yes |

Difficulty level | Mentioned |

Important Link | Class 8 Maths Chapterwise Case Study |

### Case Study Questions on Rational Numbers

**Questions**

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

Explanation: Total earning of Aditya = ₹ 150000

Money spent on food $=\frac{1}{10}$ of 150000

=₹ 15000

Q. 2. How much money he spend on shopping?

(a) 32000

(b) 37500

(c) 25000

(d) 27500

Explanation: Total earning of Aditya = ₹ 150000

Money spent on food $=\frac{1}{4}$ of 150000

=₹ 37500

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.

### Also check

- Square and Square Roots Class 8 Case Study Questions Maths Chapter 5
- Data Handling Class 8 Case Study Questions Maths Chapter 4
- Understanding Quadrilaterals Class 8 Case Study Questions Maths Chapter 3
- Linear Equations in One Variable Class 8 Case Study Questions Maths Chapter 2
- Rational Numbers Class 8 Case Study Questions Maths Chapter 1

### Download eBooks for CBSE Class 8 Maths Rational Numbers

### 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.

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### 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