Hello students, we are providing case study questions for class 7 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 7 Maths. In this article, you will find case study questions for cbse class 7 Maths chapter 8 Working with Fractions.
| Chapter | Working with Fractions |
| Book | Ganita Prakash for Grade 7 |
| Type of Questions | Case Study Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 7 |
| Subject | Maths |
| Useful for | Class 7 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 7 Maths Chapterwise Case Study |
Case Study Questions on Working with Fractions
Case Study Question 1
Passage: Tortoise Walks a Fraction of the Distance
Aaron’s pet tortoise walks only ¼ km in 1 hour. One day, Aaron recorded its movement to calculate how far it could go in fractional hours. He noted:
- In 3 hours: ¼ × 3 = ?
- In ½ hour: ½ × ¼ = ?
- In ¾ hour: ¾ × ¼ = ?
Q1. What distance does the tortoise walk in 3 hours?
(a) ¾ km
(b) 1½ km
(c) 1¼ km
(d) ¾ m
Answer: (b)
Difficulty Level: Easy
Explanation: ¼ × 3 = ¾ + ¾ + ¾ = ¾ × 3 = 3⁄4 × 3 = 3⁄1 × ¼ = 3⁄4 km = 1½ km.
Q2. What is the result of ½ × ¼?
(a) ¼
(b) ⅛
(c) ½
(d) ¾
Answer: (b)
Difficulty Level: Moderate
Explanation: ½ × ¼ = 1 × 1 / 2 × 4 = 1⁄8.
Q3. The tortoise walks ¾ km in 3 hours. What is its speed per hour?
(a) ¼ km/hr
(b) ⅛ km/hr
(c) ½ km/hr
(d) 1 km/hr
Answer: (a)
Difficulty Level: Moderate
Explanation: ¾ km ÷ 3 = ¼ km/hr.
Q4. Which of the following is the correct expression for the distance covered in ¾ hour?
(a) ¼ × ¾
(b) ¾ + ¼
(c) ¾ ÷ ¼
(d) ¼ + ¼
Answer: (a)
Difficulty Level: Easy
Explanation: Distance = speed × time = ¼ × ¾.
Case Study Question 2
Passage: Miser’s Fractional Donation (Based on Bhāskara II’s Puzzle)
A miser donates a small portion of a silver coin called dramma. The total donation is calculated as:
½ of ⅔ of ¾ of ⅕ of 1⁄16 of ¼ of 1 dramma.
Bhāskara II humorously claimed the beggar received just 1 cowrie shell, the smallest possible value.
Q1. What is the correct expression for the donation?
(a) ½ × ⅔ × ¾ × ⅕ × 1⁄16 × ¼
(b) ¼ × ⅔ × ⅓ × ⅕ × 1⁄16
(c) ⅕ × ¼ × 1⁄16 × ¾ × ½ × ⅔
(d) Both (a) and (c)
Answer: (d)
Difficulty Level: Tough
Explanation: Multiplication of fractions is associative and commutative; both orders give the same result.
Q2. What is the simplified value of the product ½ × ⅔ × ¾ × ⅕ × 1⁄16 × ¼?
(a) 1⁄128
(b) 1⁄2560
(c) 1⁄1280
(d) 6⁄7680
Answer: (c)
Difficulty Level: Tough
Explanation: Product = 6⁄7680 = 1⁄1280 after simplification.
Q3. If 1 dramma = 1280 cowrie shells, how many cowrie shells did the beggar receive?
(a) 6
(b) 0.5
(c) 1
(d) 2
Answer: (c)
Difficulty Level: Easy
Explanation: 1⁄1280 of a dramma = 1 cowrie shell.
Q4. What mathematical principle is demonstrated in Bhāskara’s donation puzzle?
(a) Algebraic identities
(b) Area of rectangle
(c) Successive fraction multiplication
(d) Geometry of numbers
Answer: (c)
Difficulty Level: Moderate
Explanation: Successive multiplication of unit fractions represents a shrinking portion.
We hope the given case study questions for Working with Fractions Class 7 helps you in your learning.
Also check
- Ganita Prakash Class 7 Maths Chapter 8 Working with Fractions Case Study Questions
- Ganita Prakash Class 7 Maths Chapter 7 A Tale of Three Intersecting Lines Case Study Questions
- Ganita Prakash Class 7 Maths Chapter 6 Number Play Case Study Questions
- Ganita Prakash Class 7 Maths Chapter 5 Parallel and Intersecting Lines Case Study Questions
- Ganita Prakash Class 7 Maths Chapter 4 Expressions using Letter-Numbers Case Study Questions
- Ganita Prakash Class 7 Maths Chapter 3 A Peek Beyond the Point Case Study Questions
- Ganita Prakash Class 7 Maths Chapter 2 Arithmetic Expressions Case Study Questions
- Ganita Prakash Class 7 Maths Chapter 1 Large Numbers Around Us Case Study Questions
Topics from which case study questions may be asked
- Understanding fractions
- Addition and subtraction of fractions
- Equivalent fractions
Fractions are parts of a whole — essential in daily life math.
Frequently Asked Questions (FAQs) on Working with Fractions Case Study Questions
Q1: What is Ganita Prakash for Class 7 Maths?
A1: Ganita Prakash is the newly released NCERT textbook for Class 7 Mathematics, designed as per the National Education Policy (NEP) 2020. It promotes logical reasoning, activity-based learning, and real-life application of maths concepts.
Q2: How can I prepare for Class 7 Maths Case Study questions effectively?
A2: Practice chapterwise questions regularly, focus on understanding concepts, and review explanations for each answer. Solving a variety of moderate to tough level questions is key to mastering this format.
Q3: Are the Case Study questions based on the Ganita Prakash chapters?
A3: Yes, all questions are created strictly based on the topics and themes covered in the Ganita Prakash Class 7 Maths textbook to ensure alignment with the NCERT curriculum.
Q4: Where can I find chapterwise Case Study questions for Class 7 Maths?
A4: You can find them for free on xamcontent.com, organized by chapter and difficulty level, along with answers and explanations.
