Last Updated on May 4, 2025 by XAM CONTENT
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 4 Expressions using Letter-Numbers.
| Chapter | Expressions using Letter-Numbers |
| 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 Expressions using Letter-Numbers
Case Study Question 1
Passage: Coconut-Jaggery Laddu Business
Ketaki prepares and sells coconut-jaggery laddus. The cost of one coconut is ₹35 and that of 1 kg jaggery is ₹60. She uses an algebraic expression to calculate total expenses as:
Total Cost = 35c + 60j
where c is the number of coconuts and j is the quantity of jaggery in kg.
Recently, she bought coconuts and jaggery for a festival and used the expression to estimate costs and profits efficiently.
Q1. If Ketaki buys 6 coconuts and 4 kg of jaggery, what will be her total cost?
(a) ₹210
(b) ₹240
(c) ₹390
(d) ₹420
Q2. Which expression correctly represents the cost of buying 12 coconuts and 5 kg of jaggery?
(a) 12 × 60 + 5 × 35
(b) 12c + 5j
(c) 35 × 5 + 60 × 12
(d) 35 × 12 + 60 × 5
Q3. If the total cost is ₹650 and Ketaki bought 10 coconuts, how much jaggery (in kg) did she purchase?
(a) 5 kg
(b) 6 kg
(c) 4 kg
(d) 3 kg
Q4. What does the term 60j in the expression represent?
(a) Total number of coconuts
(b) Total cost of jaggery
(c) Total cost of coconuts
(d) Number of laddus made
Answers:
- Q1. (c) ₹390
- Q2. (d) 35 × 12 + 60 × 5
- Q3. (a) 5 kg
- Q4. (b) Total cost of jaggery
Difficulty Level:
- Q1: Easy
- Q2: Moderate
- Q3: Moderate
- Q4: Easy
Case Study Question 2:
Passage: Matchstick Triangle Pattern
Parthiv is creating a pattern using matchsticks. He places L-shaped matchsticks repeatedly. Each L shape uses 2 matchsticks, and he develops a formula to calculate total matchsticks for n L-shapes as:
Total Sticks = 2n
He also observes another pattern forming a triangle, where the number of matchsticks used in each step follows this sequence:
3, 5, 7, 9, 11…
This leads to the expression:
Total Matchsticks = 2y + 1
Q1. How many matchsticks are needed to form 25 L-shapes?
(a) 48
(b) 50
(c) 52
(d) 55
Q2. In the triangle pattern, what expression gives the number of matchsticks at step y?
(a) 2 + y
(b) y + 1
(c) 3 + 2 × y
(d) 2y + 1
Q3. What will be the number of matchsticks at step 33 in the triangle pattern?
(a) 65
(b) 66
(c) 67
(d) 68
Q4. Which of the following best describes the pattern used in the triangle formation?
(a) Constant addition of 3 matchsticks per step
(b) Multiplication of step number by 3
(c) Alternating pattern of matchsticks
(d) Linear growth with addition of 2 matchsticks per step
Answers:
- Q1. (b) 50
- Q2. (d) 2y + 1
- Q3. (c) 67
- Q4. (d) Linear growth with addition of 2 matchsticks per step
Difficulty Level:
- Q1: Easy
- Q2: Moderate
- Q3: Moderate
- Q4: Moderate
Explanation:
These questions test understanding of pattern recognition and writing algebraic expressions. Students apply the given formulas to calculate values for specific steps and explain the nature of the growth in the sequence.
We hope the given case study questions for Expressions using Letter-Numbers 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
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Topics from which case study questions may be asked
- Use of letters in expressions
- Forming algebraic expressions
- Simple rules and patterns
Algebra uses symbols to express mathematical ideas generally.
Frequently Asked Questions (FAQs) on Expressions using Letter-Numbers 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.
