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Class 12 Maths Case Study Questions
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Class 12 Maths question paper will have 1-2 Case Study Questions. These questions will carry 5 MCQs and students will attempt any four of them. As all of these are only MCQs, it is easy to score good marks with a little practice. Class 12 Maths Case Study Questions are available on the myCBSEguide App and Student Dashboard .
Why Case Studies in CBSE Syllabus?
CBSE has introduced case study questions in the CBSE curriculum recently. The purpose was to make students ready to face real-life challenges with the knowledge acquired in their classrooms. It means, there was a need to connect theories with practicals. Whatsoever the students are learning, they must know how to apply it in their day-to-day life. That’s why CBSE is emphasizing case studies and competency-based education .
Case Study Questions in Maths
Let’s have a look over the class 12 Mathematics sample question paper issued by CBSE, New Delhi. Question numbers 17 and 18 are case study questions.
Focus on concepts
If you go through each MCQ there, you will find that the theme/case study is common but the questions are based on different concepts related to the theme. It means, that if you have done ample practice on the various concepts, you can solve all these MCQs in minutes.
Easy Questions with a Practical Approach
The difficulty level of the questions is average or say easy in some cases. On the other hand, you get four options to choose from. So, you get two levels of support to get full marks with very little effort.
Practice Questions Regularly
Most of the time we feel that it’s easy and neglect it. But in the end, we have to pay for this negligence. This may happen here too. Although it’s easy to score good marks on the case study questions if you don’t practice such questions, you may lose your marks. So, we suggest students should practice at least 30-40 such questions before writing the board exam.
12 Maths Case-Based Questions
We are giving you some examples of case study questions here. We have arranged hundreds of such questions chapter-wise on the myCBSEguide App. It is the complete guide for CBSE students. You can download the myCBSEguide App and get more case study questions there.
Case Study Question – 1
- A is a diagonal matrix
- A is a scalar matrix
- A is a zero matrix
- A is a square matrix
- If A and B are two matrices such that AB = B and BA = A, then B 2 is equal to
Case Study Question – 2
- 4(x 3 – 24x 2 + 144x)
- 4(x 3 – 34x 2 + 244x)
- x 3 – 24x 2 + 144x
- 4x 3 – 24x 2 + 144x
- Local maxima at x = c 1
- Local minima at x = c 1
- Neither maxima nor minima at x = c 1
- None of these
Case Study Questions Matrices -1
Answer Key:
Case Study Questions Matrices – 2
Read the case study carefully and answer any four out of the following questions: Once a mathematics teacher drew a triangle ABC on the blackboard. Now he asked Jose,” If I increase AB by 11 cm and decrease the side BC by 11 cm, then what type of triangle it would be?” Jose said, “It will become an equilateral triangle.”
Again teacher asked Suraj,” If I multiply the side AB by 4 then what will be the relation of this with side AC?” Suraj said it will be 10 cm more than the three times AC.
Find the sides of the triangle using the matrix method and answer the following questions:
- (a) 3 × 3
Case Study Questions Determinants – 01
DETERMINANTS: A determinant is a square array of numbers (written within a pair of vertical lines) that represents a certain sum of products. We can solve a system of equations using determinants, but it becomes very tedious for large systems. We will only do 2 × 2 and 3 × 3 systems using determinants. Using the properties of determinants solve the problem given below and answer the questions that follow:
Three shopkeepers Ram Lal, Shyam Lal, and Ghansham are using polythene bags, handmade bags (prepared by prisoners), and newspaper envelopes as carrying bags. It is found that the shopkeepers Ram Lal, Shyam Lal, and Ghansham are using (20,30,40), (30,40,20), and (40,20,30) polythene bags, handmade bags, and newspapers envelopes respectively. The shopkeeper’s Ram Lal, Shyam Lal, and Ghansham spent ₹250, ₹270, and ₹200 on these carry bags respectively.
- (b) Shyam Lal
- (a) Ram Lal
Case Study Questions Determinants – 02
Case study questions application of derivatives.
- R(x) = -x 2 + 200x + 150000
- R(x) = x 2 – 200x – 140000
- R(x) = 200x 2 + x + 150000
- R(x) = -x 2 + 100 x + 100000
- R'(x) > 0
- R'(x) < 0
- R”(x) = 0
- (a) -x 2 + 200x + 150000
- (a) R'(x) = 0
- (c) 257, -63
Case Study Questions Vector Algebra
- tan−1(5/12)
- tan−1(12/3)
- (b) 130 m/s
- (a) tan−1(5/12)
- (b) 170 m/s
More Case Study Questions
These are only some samples. If you wish to get more case study questions for CBSE class 12 maths, install the myCBSEguide App. It has class 12 Maths chapter-wise case studies with solutions.
12 Maths Exam pattern
Question Paper Design of CBSE class 12 maths is as below. It clearly shows that 20% weightage will be given to HOTS questions. Whereas 55% of questions will be easy to solve.
- No. chapter-wise weightage. Care to be taken to cover all the chapters
- Suitable internal variations may be made for generating various templates keeping the overall weightage to different forms of questions and typology of questions the same.
Choice(s): There will be no overall choice in the question paper. However, 33% of internal choices will be given in all the sections
12 Maths Prescribed Books
- Mathematics Part I – Textbook for Class XII, NCERT Publication
- Mathematics Part II – Textbook for Class XII, NCERT Publication
- Mathematics Exemplar Problem for Class XII, Published by NCERT
- Mathematics Lab Manual class XII, published by NCERT
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- CBSE Class 12
CBSE Class 12 Maths Exam 2024 Important Case Study Based Questions
Case study questions for class 12 maths: check here the important case study based questions of section e in the cbse class 12 maths exam 2024 for last minute preparation..
CBSE Class 12 Maths Exam 2024 Important Questions: The Central Board of Secondary Education is the largest and one of the most famed school boards in India, and lakhs of students are currently enrolled in it. The CBSE conducts the Class 12 board exams annually. The next paper is arguably the most important for science and commerce stream students: Maths on 9 March. Maths is essential for non-medical science and commerce aspirants and is also required in subjects like physics, statistics and accounts. CBSE Class 12 Maths requires extensive practice, especially important topics like Calculus and Algebra. There will be five sections in the 2024 CBSE Class 12 Maths exam, and the last section E will comprise two case study-based questions of 4 marks. These questions are quite important from the exam point of view, and you can check and practice the solved versions here.
CBSE Class 12 Maths Unit Wise Marks Distribution 2024
CBSE Maths Previous Year Question Paper Class 12
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CBSE Class 12 Maths Case Study Questions 2023
Q uestion 1: Ramesh is elder brother of Suresh. Ramesh wants to help his younger brother Suresh to solve the following problems of integrals. Write the suitable substitution by which Ramesh can help him.
Question 2: Mr Shashi, who is an architect, designs a building for a small company. The design of window on the ground floor is proposed to be different than other floors. The window is in the shape of a rectangle which is surmounted by a semi-circular opening. This window is having a perimeter of 10 m as shown below :
Based on the above information answer the following :
(i) If 2x and 2y represents the length and breadth of the rectangular portion of the windows, then the relation between the variables is:
(ii) The combined area (A) of the rectangular region and semi-circular region of the window expressed as a function of x is:
(iii) The maximum value of area A, of the whole window is
The owner of this small company is interested in maximizing the area of the whole window so that maximum light input is possible.
For this to happen, the length of rectangular portion of the window should be
(i) 4y = 10 - (2 + π)x
(ii) A = 10x - (2 + 12π)x 2
(iii) 50/4 + π
20/4 + π
Question 3: Read the following and answer the questions given below
The front gate of a building is in the shape of a trapezium as shown below. Its three sides other than base are of 10 m each. The height of the gate is h meter. On the basis of below figure, answer the following questions:
(i) Write the Area (A) of the gate in terms of .
(ii) Write the value of when Area (A) is maximum.
(iii) Write the value of h when Area (A) is maximum .
Write the Maximum value of Area (A) .
(i) (10 + x)√100 - x 2
(iii) 5√3m OR 75√3/m.m2
Question 4 : Read the following and answer the questions given below
Given three identical boxes 1 st, 2 nd and 3 rd each containing two coins. In 1 st box both coins are gold coins, in 2 nd box both are silver coins and in 3 rd box there is one gold and one silver coin. A person chooses a box at random and takes out a coin.
On the basis of above information, answer the following questions:
(i) What is the probability of choosing 1 st box ?
(ii) What is the probability of getting gold coin from 3 rd box ?
(iii) What is the total probability of drawing gold coin ?
If drawn coin is of gold the probability that other coin in the box is also of gold?
(iii) 1/2 Or 2/3
Question 5: Read the following and answer the questions given below
Sand is pouring from a pipe at the rate of 12 cm 3 / second the falling sand forms a cone on the ground in such a way that the height of the cone is always 1/6 th of the radius of the base. Based on above information answer the following:
(i) Write the expression for volume in terms of height only.
(ii) What is the rate of Change of height, when height is 4 cm?
i) 12πh 3
(ii) 1/48 cm/s
Question 6: There are two antiaircraft guns, named as A and B. The probabilities that the shell fired from them hits an airplane are 0.3 and 0.2 respectively. Both of them fired one shell at an airplane at the same time.
(i) What is the probability that the shell fired from exactly one of them hit the plane?
(ii) If it is known that the shell fired from exactly one of them hit the plane, then what is the probability that it was fired from B?
- CBSE Class 12 Maths Deleted Syllabus 2023-24
- NCERT Solutions 12th Maths PDF
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