CBSE 10th Maths Case Study Questions: CBSE Class 10 is one of the most important years for students, and the board is now focusing more on competency-based and application-based learning. One major change in recent years is the introduction of Case Study Questions in almost every subject. In CBSE Class 10 Maths, Case Study Questions are designed to test how well students can use mathematical concepts in real-life situations instead of only memorising formulas. In the 2025 CBSE Class 10 Maths Board Exam, these questions will continue to be a key part of the paper, helping teachers assess analytical thinking and problem-solving skills.
This article explains the format, types, examples, and best preparation strategies for Class 10 Maths Case Study Questions. It will help students understand concepts more clearly, prepare smartly for the exam, and feel more confident with reduced stress.
What are CBSE Class 10 Mathematics Case Study Questions?
Case Study Questions in CBSE Class 10 Mathematics are not only about theory or calculations. Their purpose is to connect classroom learning with real-life situations. With CBSE promoting competency-based assessment, these questions are expected to become even more important in the upcoming board exams.
Case Study Questions are a type of competency-based question designed to test a student’s ability to:
- Apply mathematical concepts in real-life situations
- Analyse the given information or data
- Solve problems based on application and reasoning
Instead of direct numerical problems, these questions come with a short passage, situation, or case, followed by 3 subjective questions related to that case.
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CBSE Class 10 Maths Case Study Question Format
According to the CBSE Class 10 Maths Paper Design 2025, the paper includes:
- 3 Case study-based questions, carrying 4 marks each.
- In Section E of the question paper
- All the questions have three sub parts (i), (ii), (iii) of marks 1, 1, 2 respectively.
- The third case study question has two sub-parts of 2 marks each
These questions require students to understand the given case, extract relevant information, and solve accordingly.
Chapters for Class 10 Maths Case Study Questions
CBSE tends to pick case-based questions from chapters that lend themselves to real-world applications. Chapters from Which Class 10 Case Study Questions are commonly asked are listed below:
- Pair of Linear Equations in Two Variables: Case based on LCM, speed, ages, money
- Quadratic Equations: Area, number problems
- Arithmetic Progressions (AP): nth term & sum of n terms
- Triangles: Areas of similar triangles
- Coordinate Geometry: Distance formula, Section formula
- Applications of Trigonometry: Heights & Distance
- Areas Related to Circles: Area of sector, segment and circular paths
- Surface Areas and Volumes: Combination of solids, Frustum of a cone
- Probability: Simple events, Everyday probability problems
Also Check,
| CBSE 10th Science Case Study Questions with Answers, Check Important Questions and Tips to Solve |
| CBSE 10th Science Assertion and Reason Questions with Answers, Important Questions for Board Exam |
Importance of Case Study Questions in Class 10 Maths
Case study questions in Class 10 Maths are important because they test how well students can apply maths in real-life situations. These questions help improve logical thinking and problem-solving skills. They also make learning more practical and useful beyond just memorising formulas. Practising them can help students score better in the board exam.
- Encourage real-world connection of abstract concepts
- Enhance logical and analytical thinking
- Strengthen problem-solving approach
- Help students understand the utility of math in daily life
- Increase the weightage of application-based learning in exams
Also Check,
| CBSE Class 10 Science Exam Pattern 2025-26 OUT; Check Latest Paper Format and Marking Scheme |
| CBSE Class 10 Science Syllabus 2025-26 Released; Check Latest Unit-wise Weightage, Download PDF |
Tips to Solve Maths Case Study Questions Effectively
To solve Maths case study questions effectively, first read the question carefully and understand the real-life situation given. Identify the maths concepts or formulas needed to solve it. Break the problem into small parts and solve step by step. Practice similar questions regularly to improve speed and accuracy. Here are some expert tips for solving Class 10th Maths Case Study Questions effectively:
1. Understand the Case Thoroughly: Read the passage/case carefully and note down all given numerical values, shapes, dimensions, or relationships.
2. Identify the Chapter and Concept: Try to match the case with the most relevant concept or formula from the syllabus. For example, a motion-based question might relate to derivatives.
3. Break Down the Problem: Treat each sub-question individually. Don’t get overwhelmed by the case’s length; they are often easier than they look!
4. Draw Diagrams or Sketches: A visual approach helps when dealing with geometry, vectors, or calculus. It helps make sense of the situation better.
5. Practice from Sample Papers and Past Year Papers: Use the CBSE Class 10 Sample Paper 2025 and CBSE Class 10 Previous Year Question Papers to practice similar case-based questions.
CBSE Class 10 Maths Case Study Question
Let’s look at an example to understand how these questions appear:
Case 1: An electrician has to repair a fault on an electric pole of height 10 m. He needs to reach a point 2.5 m below the top of the pole to undertake the repair work. The ladder is inclined at an angle of 45° against the pole with the horizontal.
Based on the above information, answer the following question:
(i) What is the distance from the bottom of the pole to the top of the ladder on the pole?
Answer: The distance between the bottom of the pole and the top of the ladder is 7.5 m.
(ii) What is the distance between the foot of the pole and the foot of the ladder?
Answer: The distance between the foot of the pole and the foot of the ladder is 7.5 m.
(iii) What is the length of the ladder?
Answer: The length of the ladder is 7.5 root 2 m.
(iv) What is the measure of ∠CDB?
Answer: 45 degrees.
Case 2: On account of ‘Swachh Bharat Abhiyan’, some houses of a locality in
Delhi decided to clean up and beautify a school of their locality by planting
some plants. They involved the school kids and the local community to do so.
The data indicating the number of plants contributed by different houses is
shown below:
| Number of plants | 0 - 5 | 5-10 | 10 - 15 | 15 - 20 | 20 - 25 |
| Number of houses | 7 | 11 | 10 | 9 | 13 |
Based on the above information, answer the following question:
(i) What is the mean of the number of plants contributed by different houses?
Answer: The mean number of plants contributed by different houses is 13.5.
(ii) What is the median class for the distribution?
Answer: The median class is 10 - 15.
(iii) What is the modal class for the distribution?
Answer: The modal class is 20 - 25.
(iv) How many houses of the locality came forward to plant between 5 to 20?
Answer: The total number of houses is 30.
Case 3: The Doric column structures are the ones that have cylindrical pillars supporting a tomb. It is an architectural element from ancient Greece, and it represents one of the five orders of classical architecture. The figure below shows an architectural structure that has Doric columns with a hemispherical tomb on the top. The height and radius of each of the Doric columns are 7 m and 20 cm, respectively. The solid hemispherical dome has a radius of 3.5 m.
Based on the above information, answer the following questions:
(i) Find the curved surface area of each Doric column.
Answer: The curved surface area of a Doric column is 8.8 sq m.
(ii) What is the curved surface area of the hemispherical dome?
Answer: The curved surface area of the hemispherical dome is 77 sq m.
(iii) If 14 Doric columns are supporting the tomb, then find the total surface area of all the Doric columns.
Answer: The total surface area of all the Doric columns is 126.72 sq m.
(Iv) If 10% of the concrete material used to make the dome is cement, then what is the amount of cement material required to make the solid hemispherical dome?
Answer: The amount of cement material required to make the solid hemispherical dome is 8.983 cubic m.
CBSE Class 10 Maths Case Study Question PDF [Free]
Click on the link provided below to download the CBSE Class 10 Maths Case Study Question PDF with answers for free without any login. Get the direct link to download the PDF.
| CBSE Class 10 Maths Case Study Question PDF | Download here |
| CBSE Class 10 Maths Case Study Question- Solution PDF | Download here |
Common Mistakes to Avoid In Maths Case Study Questions
- Skipping the passage: Students often directly jump to the question without understanding the context.
- Misinterpreting the case: Especially in word problems involving diagrams or figures.
- Not revising key formulas: Weak formula recall can ruin your answer.
- Lack of practice: These questions are relatively new, and many students aren’t used to them yet.
CBSE Class 10 Maths Syllabus 2025-26
The Central Board of Secondary Education (CBSE) has released the Maths Syllabus for Class 10 for the 2025-26 academic year. This Maths Syllabus outlines the course structure, chapters, and topics that students will need to study in the subject. The CBSE Class 10 Maths Syllabus covers a wide range of topics, including Number Systems, Algebra, Coordinate Geometry, Geometry, Trigonometry, Mensuration and Statistics & Probability. It is divided into units with specific weightage, helping students plan their preparation effectively. The Class 10th Maths unite-wise chapters and weightage are provided below :
| Unit Name | Chapter Name |
Weightage in Marks |
| Number Systems | Real Numbers | 6 |
|
Algebra |
Polynomials |
20 |
| Pair Of Linear Equations In Two Variables | ||
| Quadratic Equations | ||
| Arithmetic Progressions | ||
| Coordinate Geometry | Coordinate Geometry | 6 |
|
Geometry |
Triangles |
15 |
| Circles | ||
|
Trigonometry |
Introduction To Trigonometry |
12 |
| Trigonometric Identities | ||
| Heights And Distances | ||
|
Mensuration |
Areas Related To Circles |
10 |
| Surface Areas And Volumes | ||
|
Statistics And Probability |
Statistics |
11 |
| Probability |
Check the latest and detailed CBSE Class 10 Maths Syllabus 2025-26; Check Latest Unit-wise Weightage, Download PDF.
CBSE Class 10 Mathematics Exam Pattern 2025-26
CBSE has released the exam pattern and marking scheme for the 2025-26 academic year. Based on the official question paper design shared along with the syllabus, the board will follow the same CBSE Class 10 Maths Exam Pattern and marking scheme as in 2024-25. The CBSE Class 12 Mathematics board exam for 2025–26 consists of a theory paper of 80 marks and an internal assessment of 20 marks. The question paper will be divided into five different sections:
| Section | Question Type | Number of Questions | Marks |
| A | Multiple Choice Questions & Assertion and Reason Questions (1 mark) | 20 | 20 |
| B | Very Short Answer (2 mark) | 5 | 10 |
| C | Short Answer (3 marks) | 6 | 18 |
| D | Long Answer (5 marks) | 4 | 20 |
| E | Case Study-Based Questions (3 marks) | 3 | 12 |
| Total | 38 | 80 | |
Check the latest and detailed CBES Class 10th Maths Exam Pattern 2025-26 with Marking Scheme.