case study questions 12 maths

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Class 12 Maths Case...

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

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.


1.	Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas	44	55
2.	Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way.	20	25
3.	Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations	16	20
	Present and defend opinions by making judgments about information, the validity of ideas, or quality of work based on a set of criteria.
	Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions
		80	100

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


Periodic Tests ( Best 2 out of 3 tests conducted)	10 Marks
Mathematics Activities	10 Marks

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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Case Study Questions for Class 12 Maths PDF Download

We have provided here Case Study questions for the Class 12 Maths for board exams. You can read these chapter-wise Case Study questions. These questions are prepared by subject experts and experienced teachers. The answer key is also provided so that you can check the correct answer for each question. Practice these questions to score well in your final exams.

CBSE 12th Standard CBSE Maths question papers, important notes, study materials, Previous Year questions, Syllabus, and exam patterns. Free 12th Standard CBSE Maths books and syllabus online. Important keywords, Case Study Questions, and Solutions.

Class 12 Maths Case Study Questions

CBSE Class 12 Maths question paper will have case study questions too. These case-based questions will be objective type in nature. So, Class 12 Maths students must prepare themselves for such questions. First of all, you should study NCERT Textbooks line by line, and then you should practice as many questions as possible.

Chapter-wise Solved Case Study Questions for Class 12 Maths

Class 12 students should go through important Case Study problems for Maths before the exams. This will help them to understand the type of Case Study questions that can be asked in Grade 12 Maths examinations. Our expert faculty for standard 12 Maths have designed these questions based on the trend of questions that have been asked in last year’s exams. The solutions have been designed in a manner to help the grade 12 students understand the concepts and also easy to learn solutions.

Books for Class 12 Maths

Strictly as per the new term-wise syllabus for Board Examinations to be held in the academic session 2022-23 for class 12 Multiple Choice Questions based on new typologies introduced by the board- Stand-Alone MCQs, MCQs based on Assertion-Reason Case-based MCQs. Include Questions from CBSE official Question Bank released in April 2022 Answer key with Explanations What are the updates in the book: Strictly as per the Term wise syllabus for Board Examinations to be held in the academic session 2022-23. Chapter-wise -Topic-wise Multiple choice questions based on the special scheme of assessment for Board Examination for Class 12th.

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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

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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CBSE Case Study Questions for Class 12 Maths Matrices Free PDF

Mere Bacchon, you must practice the CBSE Case Study Questions Class 12 Maths Matrices in order to fully complete your preparation . They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!

I have made sure the questions (along with the solutions) prepare you fully for the upcoming exams. To download the latest CBSE Case Study Questions , just click ‘ Download PDF ’.

CBSE Case Study Questions for Class 12 Maths Matrices PDF

Mcq set 1 -, mcq set 2 -, checkout our case study questions for other chapters.

Chapter 1 Relations and Functions Case Study Questions
Chapter 2 Inverse Trigonometric Functions Case Study Questions
Chapter 4 Determinants Case Study Questions
Chapter 5 Continuity and Differentiability Case Study Questions

How should I study for my upcoming exams?

First, learn to sit for at least 2 hours at a stretch

Solve every question of NCERT by hand, without looking at the solution.

Solve NCERT Exemplar (if available)

Sit through chapter wise FULLY INVIGILATED TESTS

Practice MCQ Questions (Very Important)

Practice Assertion Reason & Case Study Based Questions

Sit through FULLY INVIGILATED TESTS involving MCQs. Assertion reason & Case Study Based Questions

After Completing everything mentioned above, Sit for atleast 6 full syllabus TESTS.

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CBSE 12th Standard Maths Subject Application of Integrals Case Study Questions 2021

By QB365 on 21 May, 2021

QB365 Provides the updated CASE Study Questions for Class 12 Maths, and also provide the detail solution for each and every case study questions . Case study questions are latest updated question pattern from NCERT, QB365 will helps to get more marks in Exams

QB365 - Question Bank Software

Cbse 12th standard maths application of integrals case study questions 2021.

12th Standard CBSE

Final Semester - June 2015

Case Study Questions

Consider the curve x 2 +y 2 = 16 and line y = x in the first quadrant. Based on the above information, answer the following questions. (i) Point of intersection of both the given curves is

(iv) The value of the integral $\int_{2 \sqrt{2}}^{4} \sqrt{16-x^{2}} d x$ is

(a) $2(\pi-2)$

(b) $2(\pi-8)$

(d) $4(\pi+2)$

(v) Area bounded by the two given curves is

(a) $3 \pi \text { sq. units }$

(b) $\frac{\pi}{2} \text { sq. units }$

(d) $2 \pi \text { sq. units }$

Consider the following equation of curve I' = 4x and straight line x + y = 3. Based on the above information, answer the following questions. (i) The line x + y = 3 cuts the x-axis and y-axis respectively at

(ii) Point(s) of intersection of two given curves is (are)

(v) Value of area bounded by given curves is

(

(ii) Equation of line BC is

(iii) Area of region ABCD is

(iv) Area of $\Delta A D C$ is

(iv) Area of $\Delta A B C$ is

(iv) The value of $2 \int_{0}^{3}\left(1-\frac{x}{3}\right) d x$ is

(v) Area of the smaller region bounded by the mirror and scratch is

(a) $3\left(\frac{\pi}{2}+1\right) \text { sq. units }$

(b) $\left(\frac{\pi}{2}+1\right) \text { sq. units }$

(d) $3\left(\frac{\pi}{2}-1\right) \text { sq. units }$

Consider the following equations of curves y = cos x, y = x + 1 and y = 0. On the basis of above information, answer the following questions. (i) The curves y = cos x and y = x + 1 meet at

(ii) y = cos x meet the x-axis at

(iii) Value of the integral $\int_{-1}^{0}(x+1) d x$ is

(iv) Value of the integral $\int_{0}^{\pi / 2} \cos x d x$ is

(v) Area bounded by the given curves is

*****************************************

Cbse 12th standard maths application of integrals case study questions 2021 answer keys.

(i) (a) : Equation of line AB is $y-0=\frac{3-0}{1+1}(x+1) \Rightarrow y=\frac{3}{2}(x+1)$ (ii) (c) : Equation of line BC is $y-3=\frac{2-3}{3-1}(x-1)$ $\Rightarrow y=-\frac{1}{2} x+\frac{1}{2}+3 \Rightarrow y=\frac{-1}{2} x+\frac{7}{2}$ (iii) (d) : Area of region ABCD = Area of $\triangle A B E$ + Area of region BCDE $=\int_{-1}^{1} \frac{3}{2}(x+1) d x+\int_{1}^{3}\left(\frac{-1}{2} x+\frac{7}{2}\right) d x$ $=\frac{3}{2}\left[\frac{x^{2}}{2}+x\right]_{-1}^{1}+\left[\frac{-x^{2}}{4}+\frac{7}{2} x\right]_{1}^{3}$ $=\frac{3}{2}\left[\frac{1}{2}+1-\frac{1}{2}+1\right]+\left[\frac{-9}{4}+\frac{21}{2}+\frac{1}{4}-\frac{7}{2}\right]$ = 3 + 5 = 8 sq. units (iv) (a) : Equation of line AC is $y-0=\frac{2-0}{3+1}(x+1)$ $\Rightarrow y=\frac{1}{2}(x+1)$ $\therefore \text { Area of } \Delta A D C=\int_{-1}^{3} \frac{1}{2}(x+1) d x=\left[\frac{x^{2}}{4}+\frac{1}{2} x\right]_{-1}^{3}$ $=\frac{9}{4}+\frac{3}{2}-\frac{1}{4}+\frac{1}{2}=4 \text { sq. units }$ (v) (b) : Area of $\Delta A B C$ = Area of region ABCD - Area of $\Delta A C D=8-4=4 \mathrm{sq} . \text { units }$

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Case Study on Matrices Class 12 Maths PDF

The passage-based questions are commonly known as case study questions. Students looking for Case Study on Matrices Class 12 Maths can use this page to download the PDF file.

The case study questions on Matrices are based on the CBSE Class 12 Maths Syllabus, and therefore, referring to the Matrices case study questions enable students to gain the appropriate knowledge and prepare better for the Class 12 Maths board examination. Continue reading to know how should students answer it and why it is essential to solve it, etc.

Case Study on Matrices Class 12 Maths with Solutions in PDF

Our experts have also kept in mind the challenges students may face while solving the case study on Matrices, therefore, they prepared a set of solutions along with the case study questions on Matrices.

The case study on Matrices Class 12 Maths with solutions in PDF helps students tackle questions that appear confusing or difficult to answer. The answers to the Matrices case study questions are very easy to grasp from the PDF - download links are given on this page.

Why Solve Matrices Case Study Questions on Class 12 Maths?

There are three major reasons why one should solve Matrices case study questions on Class 12 Maths - all those major reasons are discussed below:

To Prepare for the Board Examination: For many years CBSE board is asking case-based questions to the Class 12 Maths students, therefore, it is important to solve Matrices Case study questions as it will help better prepare for the Class 12 board exam preparation.
Develop Problem-Solving Skills: Class 12 Maths Matrices case study questions require students to analyze a given situation, identify the key issues, and apply relevant concepts to find out a solution. This can help CBSE Class 12 students develop their problem-solving skills, which are essential for success in any profession rather than Class 12 board exam preparation.
Understand Real-Life Applications: Several Matrices Class 12 Maths Case Study questions are linked with real-life applications, therefore, solving them enables students to gain the theoretical knowledge of Matrices as well as real-life implications of those learnings too.

How to Answer Case Study Questions on Matrices?

Students can choose their own way to answer Case Study on Matrices Class 12 Maths, however, we believe following these three steps would help a lot in answering Class 12 Maths Matrices Case Study questions.

Read Question Properly: Many make mistakes in the first step which is not reading the questions properly, therefore, it is important to read the question properly and answer questions accordingly.
Highlight Important Points Discussed in the Clause: While reading the paragraph, highlight the important points discussed as it will help you save your time and answer Matrices questions quickly.
Go Through Each Question One-By-One: Ideally, going through each question gradually is advised so, that a sync between each question and the answer can be maintained. When you are solving Matrices Class 12 Maths case study questions make sure you are approaching each question in a step-wise manner.

What to Know to Solve Case Study Questions on Class 12 Matrices?

A few essential things to know to solve Case Study Questions on Class 12 Matrices are -

Basic Formulas of Matrices: One of the most important things to know to solve Case Study Questions on Class 12 Matrices is to learn about the basic formulas or revise them before solving the case-based questions on Matrices.
To Think Analytically: Analytical thinkers have the ability to detect patterns and that is why it is an essential skill to learn to solve the CBSE Class 12 Maths Matrices case study questions.
Strong Command of Calculations: Another important thing to do is to build a strong command of calculations especially, mental Maths calculations.

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Case Interview Math Guide: Everything You Need to Know

Master case interview math with our friendly guide! Learn essential tips, tricks, and strategies to ace every calculation and impress in your consulting interviews.

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Are you ready to conquer case interview math? Whether you're aiming for a consulting career or preparing for a challenging case interview, mastering the art of case interview math is crucial to your success. This guide will enhance your ability to tackle complex math problems, crunch numbers efficiently, and impress your interviewers with your analytical skills. By refining these abilities, you'll be better prepared to meet the high standards of management consulting firms and stand out in the competitive interview process.

In this comprehensive case interview math guide , we'll explore the three main types of math problems you'll encounter, along with practical examples. You'll learn essential formulas to have at your fingertips and discover techniques to sharpen your consulting math skills. We'll also share tips to help you stand out, provide effective preparation strategies, and offer valuable practice drills and resources. By the end, you'll be well-equipped to handle any math challenge that comes your way in your case interviews.

3 Types of Math Problems with Examples

In case interviews , you'll encounter three main types of math problems: word problems, straight calculations, and estimation questions. Each type tests different aspects of your quantitative skills and problem-solving abilities.

Word Problems

Word problems in case interviews often require algebraic calculations. These questions are designed to assess your ability to translate real-world scenarios into mathematical equations. For example, you might need to calculate the breakeven point for a product launch or determine the impact of a cost-cutting initiative on a company's financials.

Word problems require you to analyze a business scenario and apply your case math skills to find a solution. For instance, you might be asked to determine the profitability of a new product line based on market math data like costs, revenues, and market share.

Key Strategy: Break down the problem into smaller steps. Start by identifying key variables (such as costs, revenues, or quantities), and then translate them into equations. Practice framing business scenarios into solvable math problems by focusing on what the interviewer is truly asking.

Tip: Stay organized by writing down your calculations step-by-step. This will allow you to clearly explain your thought process to the interviewer and minimize errors, while also demonstrating your structured thinking skills.

Straight Calculations

Straight calculations involve performing direct calculations, such as multiplying revenue figures or dividing costs by units produced. These problems assess your ability to quickly and accurately handle basic arithmetic operations, which are crucial in management consulting.

They are often presented as standalone questions or follow-up queries within a larger case study. These problems test your ability to perform quick mental math under pressure. For instance, you might need to divide 100,000 by 50 to determine employee productivity or calculate 13% of $160 million to find the cost of goods sold.

Key Strategy: Prioritize accuracy before speed. Focus on methodical, step-by-step calculations rather than rushing to an answer. If you're unsure about mental math, write out each step. It’s better to be slightly slower but accurate than to provide a wrong answer quickly.

Tip: Always verify your results by double-checking your work. While speed is important, accuracy is even more crucial. Mistakes in simple calculations can affect your overall analysis and the recommendation you give to the interviewer.

Estimation Questions

Also known as market sizing questions, estimation problems require you to arrive at a value with minimal initial data. These questions assess your structured problem-solving skills and business judgment. For example, you might need to estimate the number of pizzas sold in New York City annually or the market size for a new tech product.

Key Strategy: Focus on logical reasoning and simplification. Instead of breaking the problem into smaller pieces, start by setting up a logical framework. Use approximate numbers and relevant assumptions to guide your estimate, aiming for an answer that's reasonable within a broad range.

Tip: Use reasonable assumptions and round numbers to keep your calculations simple and easy to follow. Don’t hesitate to state your assumptions clearly to the interviewer; they care more about your approach and logic than the exact answer.

By mastering these types of math problems, you'll be better equipped to tackle the quantitative challenges that arise in case interviews for management consulting roles.

Essential Case Interview Math Formulas

While most case interviews only require basic algebra like addition, subtraction, multiplication, division, and fractions/percentages, it’s best to be prepared for the following math formulas just in case you have to use them in the case interview:

Revenue and Profit Margin Calculations

To excel in case interviews, you need to master key formulas.

Start with the basics : Revenue = Price x Volume. This formula helps you calculate a company's total sales.

Next, understand profit calculations. Gross Profit = Revenue - Cost of Goods Sold, while Net Profit = Gross Profit - All other cost items.

These formulas are crucial for assessing a company's financial health.

Read : Unlocking Marginal Profit: A Step-by-Step Guide to Finding It

Market Sizing Equations

Market sizing is a common challenge in case interviews.

Use this formula : Market Size = # of Target Customers x Expected Annual Purchases. For market share, calculate: Market Share = Company Revenue / Total Market Revenue.

These equations help you estimate market potential and a company's position within it.

Break-Even Analysis

Break-even analysis is vital for assessing whether a company should put down an initial investment on a product or service.

The key formula is : Break-even Point = Fixed Costs / Contribution Margin.

Remember, contribution margin is (Price - Variable Cost) per unit. This analysis helps determine how many units a company needs to sell to cover its costs before generating profit.

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Master Mental Math Techniques

To excel in case interviews, you need to sharpen your mental calculations. These techniques will help you perform calculations quickly and accurately without a calculator, giving you an edge in tackling case interview math problems. By practicing these methods, you'll become more confident in solving consulting math problems, allowing you to approach each case interview with precision and ease.

Rounding and Estimation

Simplify large numbers by removing zeros and using labels (m, k, b). For example, 200 million becomes 200m. This method helps you manage zeros efficiently and makes calculations more manageable.

Percentage Calculations

For percentage growth, use the Rule of 72. Divide 72 by the growth rate to estimate doubling time. For instance, at 12% growth, a value doubles in approximately 6 years (72 ÷ 12 = 6).

Quick Multiplication and Division

Break down complex calculations into simpler steps. For 14 x 6, calculate (10 x 6) + (4 x 6) = 84. Use the Halve and Double Method for tricky multiplications. For 160 x 350, halve 160 and double 350, then multiply: 80 x 700 = 56,000.

How to Stand Out in Case Interview Math

To excel in case interview math, you need to demonstrate efficiency and confidence. Here are key strategies to help you stand out:

Simplify your calculations

If the question doesn’t demand a specific answer, round numbers to make them more manageable. For example, instead of calculating 29 x 4, round 29 to 30 and multiply by 4. This shows you're focused on solving math problems efficiently, rather than getting bogged down in trivial details.

Master the common fractions

Memorize common fractions, their percentage values, and decimal conversions from 1/2 to 1/10. This knowledge can save you significant time during calculations. For instance, knowing that 1/8 equals 0.125 can help you quickly arrive at an exact answer during case math exercises.

Do not miscount the zeros

When working with large numbers, keep close track of zeros to prevent errors. Instead of writing out long numbers, use scientific notation, like expressing 60,000,000 as 6 x 10^7. This simplifies consulting math calculations and reduces the risk of mistakes.

How to Prepare for Case Interview Math

Understand the theory.

To excel in case interview math, you need to master key formulas and concepts. Focus on revenue and profit calculations, market sizing equations , and break-even analysis. While in-depth understanding isn't required, having a rough idea of business terms and their formulas can be handy. Remember, calculators aren't allowed in case interviews, so practice mental math.

Put the Theory into Practice

Once you've grasped the theory, it's time to practice. Use calculation drills to sharpen your skills. Focus on simplifying calculations, factoring and expanding expressions, and dealing with growth rates efficiently. Memorize common statistics, like local population figures, to save time. Practice within full case contexts for the most realistic experience.

Practice Drills and Resources

Online math tools.

Strengthen your consulting math skills by using online tools designed specifically for case interview preparation. These resources offer a range of exercises to help you master essential consulting math formulas, such as percentages, ratios, and basic arithmetic, ensuring you can tackle quantitative problems with confidence during your interviews.

Sample Problems

Practice with real-world scenarios. For instance, try estimating the market demand for cell phones over 30 years or calculating the profit-maximizing layout for a convenience store. These problems mirror the types of questions you might encounter in actual case interviews.

Timed Exercises

Engage in timed math drills to improve your speed and accuracy. Aim to solve problems within 5-10 seconds, gradually increasing difficulty as you progress. Focus on areas where you struggle, and practice consistently to maintain your skills. Remember to verbalize your thought process while solving problems to simulate interview conditions.

Land Your Dream Consulting Job With the Help of an Expert

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Mastering case interview math is a game-changer for aspiring consultants. This comprehensive guide has provided a comprehensive overview of the types of math problems you'll face, essential formulas to memorize, and techniques to sharpen your mental math skills. By applying these strategies and consistently practicing, you'll be well-prepared to tackle any case interview math challenge that comes your way.

Remember, success in case interview math isn't just about crunching numbers quickly. It's also about demonstrating your structured thinking, problem-solving approach, and business acumen, all of which are crucial in management consulting. By honing these skills and staying calm under pressure, you'll be able to stand out and make a lasting impression on your interviewers. Keep practicing, stay confident, and you'll be well on your way to acing the math portion of your case interviews, especially when faced with market math scenarios.

What exactly is 'case math'?

Case Interview Math involves analyzing data to form a well-informed recommendation to address a business issue. It assumes a basic understanding of operations like multiplication, addition, subtraction, division, and percentages. More importantly, it requires an understanding of how to interpret these mathematical results within the context of the case problem.

What mathematical abilities are essential for case interviews?

In case interviews, the essential math skills include basic arithmetic operations such as addition, subtraction, multiplication, and division. You will also need to work with percentages, decimals, or fractions, and be able to calculate percentage values, which involves division.

How important is mental math in consulting interviews?

Mental math is essential in consulting interviews as it allows you to perform quick calculations without relying on a calculator. This ability is particularly useful when you're under time constraints or need to make rapid decisions during the case interview process.

Is the math involved in case interviews difficult?

The math typically encountered in case interviews is not particularly challenging. It involves basic algebra, including operations like addition, subtraction, multiplication, division, and working with fractions and percentages. Additionally, you may need to extract and interpret data from tables.

Why do consulting firms emphasize math skills in case interviews?

Consulting firms prioritize math skills because consultants frequently need to analyze data, create models, and make recommendations based on numerical insights. Strong case math abilities allow you to approach problems methodically and deliver precise, actionable advice.

How can I enhance my mathematical skills for case interviews?

Improving your math skills for case interviews primarily involves extensive practice. Engaging in numerous practice problems will help you become quicker, familiarize you with various problem types, and improve your ability to apply fundamental mathematical skills in different scenarios. Participating in mock case interviews is an effective way to practice.

How much time should I dedicate to practicing case interview math?

Dedicating regular time to practice is crucial. Aim for at least 30 minutes a day of focused math drills. This consistency will help you build speed and confidence, especially in performing calculations under pressure during a consulting interview.

Read these next :

How to Excel in Mental Math Practice: A Comprehensive Guide

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Class 12 Maths: Case Study of Chapter 3 Matrices PDF Download

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In Class 12 Boards there will be Case studies and Passage Based Questions will be asked, So practice these types of questions. Study Rate is always there to help you. Free PDF Download of CBSE Class 12 Mathematics Chapter 3 Matrices Case Study and Passage Based Questions with Answers were Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 12 Maths Matrices to know their preparation level.

Join our Telegram Channel, there you will get various e-books for CBSE 2024 Boards exams for Class 9th, 10th, 11th, and 12th.

In CBSE Class 12 Maths Paper, There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

Matrices Case Study Questions With answers

Here, we have provided case-based/passage-based questions for Class 12 Mathematics Chapter 3 Matrices

Case Study/Passage-Based Questions

Three car dealers, say A, Band C, deals in three types of cars, namely Hatchback cars, Sedan cars, and SUV cars. The sales figure for 2019 and 2020 showed that dealer A sold 120 Hatchback, 50 Sedan, and 10 SUV cars in 2019 and 300 Hatchback, 150 Sedan, and 20 SUV cars in 2020; dealer B sold 100 Hatchback, 30 Sedan, and S SUV cars in 2019 and 200 Hatchback, 50 Sedan, 6 SUV cars in 2020; dealer C sold 90 Hatchback, 40 Sedan, 2 SUV cars in 2019 and 100 Hatchback, 60 Sedan,S SUV cars in 2020.

Based on the above information, answer the following questions.

(i) The matrix summarizing sales data for 2019 is

Answer: (b)

(ii) The matrix summarizing sales data of 2020 is

Answer: (a)

(iii) The total number of cars sold in two given years, by each dealer, is given by the matrix

Answer: (c)

(iv) The increase in sales from 2019 to 2020 is given by the matrix

(v) If each dealer receives a profit of Rs.50000 on the sale of a Hatchback, Rs.100000 on the sale of a Sedan, and Rs. 200000 on the sale of an SUV (v) then the amount of profit received in the year 2020 by each dealer is given by the matrix.

Hope the information shed above regarding Case Study and Passage Based Questions for Class 12 Maths Chapter 3 Matrices with Answers Pdf free download has been useful to an extent. If you have any other queries of CBSE Class 12 Mathematics Matrices Case Study and Passage Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible. By Team Study Rate

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Case Study Questions for Class 12 Maths Chapter 7 Integrals

Last modified on: 1 year ago
Reading Time: 2 Minutes

Case Study Questions:

Question 1:

Read the following text and answer the following questions on the basis of the same:

(i) Find the value of

$$ \int_{-1}^1 x^{99} d x $$

(ii) Find the value of

$$ \int_{-\pi}^\pi x \cos x d x $$

(iii) Find the value of

$$ \int_{-\pi / 2}^{\pi / 2} \sin ^3 x d x $$

(iv) Find the value of

$$ \int_{-\pi}^\pi x \sin x d x $$

(v) Find the value of

$$ \int_{-\pi}^\pi \tan x \sec ^2 x d x $$

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Comparing Quantities Class 7 Case Study Questions Maths Chapter 7

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Last Updated on August 24, 2024 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 7 Comparing Quantities. It is a part of Case Study Questions for CBSE Class 7 Maths Series.

	Comparing Quantities
	Case Study Questions
	Competency Based Questions
	CBSE
	7
	Maths
	Class 7 Studying Students
	Yes
	Mentioned

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Table of Contents

Case Study Questions on Comparing Quantities

Online shopping has increased in the past few years. There are several apps and websites available which allow buyers to purchase goods online.

Q. 1. In a survey, every three out five people prefer online shopping over shopping from the local market. What percentage of people in the survey prefer shopping from the local market?

Difficulty Level: Medium

\begin{aligned} \text { Required percentage } & =\frac{2}{5} \times 100 \% \\ & =40 \% \end{aligned}

Q. 2. The marked price of a hot water geyser is 9000. It is available at a discounted price for 7560 on an online shopping website. What is the percent reduction in the cost of the geyser?

Marked price of a geyser =₹9000 Discounted price of the geyser =₹7560 Discount = ₹9000 – ₹7560 = ₹1440 $\therefore$ Required percentage reduction

$$ \begin{aligned} & =\frac{1440}{9000} \times 100 \% \\ & =16 \% \end{aligned} $$

Q. 3. Misha spent ` 15,000 for groceries and home products last month. She shopped online as well as from the local market. The amount of money she spent on online shopping is three times the amount she spent on shopping from the local market. What percentage of money did Misha spend by shopping online?

Q. 4. Nisha purchased 20 pairs of earrings for 200. She pasted colourful beads on the earrings with glue. The beads cost her 30 and a tube of glue to stick the beads costs 20. She sold each pair of earrings for 40. After selling all the earrings, how many rupees did she make as profit?

Ans. Option (b) is correct.

Explanation :

Total amount spent on 20 pairs of earrings = 200 + 30 + 20 = 250 S.P. of 20 pairs of earrings = 20 × 40 = 800 So, Profit = S.P. – C.P. = 800 – 250 = 550

Q. 5. What percentage profit did Nisha make?

Explanation: Percentage of profit made by Nisha

$$ \begin{aligned} & =\frac{\text { Profit }}{\text { C.P. }} \times 100 \% \\ & =\frac{550}{250} \times 100 \% \\ & =220 \% \end{aligned} $$

Triangle and its Properties Class 7 Case Study Questions Maths Chapter 6
Lines and Angles Class 7 Case Study Questions Maths Chapter 5
Simple Equations Class 7 Case Study Questions Maths Chapter 4
Data Handling Class 7 Case Study Questions Maths Chapter 3

Fractions and Decimals Class 7 Case Study Questions Maths Chapter 2

Integers class 7 case study questions maths chapter 1, topics from which case study questions may be asked.

Interpreting percentage
Buying and selling
Simple interest

The ratio of two numbers is expressed in its simplest form and has no units. An equality of two ratios is called a proportion.

A proportion has 4 terms. The first and fourth terms of a proportion are called the extreme terms while second and third terms are called the means.

One of the ways of comparing quantities is percentage. Per cent is derived from Latin word ‘per centum’ meaning ‘per hundred’. Percent is represented by the symbol % and means hundredth too.

Case study questions from the above given topic may be asked.

Percent means per hundred. The numerator of a fraction with denominator 100 represents percentage to convert a fraction into percent, multiply to fraction by 100.

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Frequently Asked Questions (FAQs) on Comparing Quantities Case Study

Q1: what is an equivalent ratio.

A1: An equivalent ratio is a ratio that represents the same relationship between quantities as another ratio, but in different terms. For example, the ratio 2:3 is equivalent to 4:6 and 6:9. Equivalent ratios are useful in scaling quantities up or down while maintaining the same proportional relationship.

Q2: How is a ratio different from a fraction?

A2: A ratio is a way to compare two quantities by division, indicating how many times one quantity is contained in another. A fraction, on the other hand, represents a part of a whole. While ratios compare two numbers, fractions describe a part of a single quantity.

Q3: How do you convert a fraction to a percentage?

A3: To convert a fraction to a percentage, multiply the fraction by 100 and add the percentage symbol (%).

Q4: What is the formula for calculating percentage increase or decrease?

A4: The formula for percentage increase or decrease is: Percentage Change $=\frac{\text { Change in Value }}{\text { Original Value }} \times 100$ For an increase, the change in value is positive, and for a decrease, it’s negative.

Q5: How do you calculate profit or loss percentage?

A5: The profit or loss percentage is calculated using the following formulas: Profit Percentage:

$$ \text { Profit } \%=\frac{\text { Profit }}{\text { Cost Price }} \times 100 $$ Loss Percentage: $$ \operatorname{Loss} \%=\frac{\text { Loss }}{\text { Cost Price }} \times 100 $$

Q6: Can you give an example of how to solve a word problem involving ratios?

A6: Sure! Suppose there are 120 boys and 80 girls in a school. The ratio of boys to girls is calculated as: Ratio = 120/80 = 3/2 This means for every 3 boys, there are 2 girls.

Q7: What is the importance of understanding percentages in daily life?

A7: Understanding percentages is crucial in daily life as they are used in various situations such as calculating discounts, interest rates, taxes, and more. Percentages help in making informed decisions related to finance, shopping, and comparing data.

Q8: What are the key concepts covered in Chapter 7: Comparing Quantities?

A8: Chapter 7 of Class 7 Maths covers several important concepts, including ratios, percentages, equivalent ratios, and their applications in real-life scenarios. Students also learn about converting fractions to percentages and vice versa, finding the percentage increase or decrease, and calculating profit and loss.

Q9: Are there any online resources or tools available for practicing comparing quantities case study questions?

A9: 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.

Comparing Quantities Class 7 Case Study Questions Maths Chapter 7

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“curious is as curious does”: fostering question-asking in a sino-foreign engineering school—a case study.

1. Introduction

2. literature review, 2.1. curiosity, 2.2. question-asking, curiosity, and stem, 2.3. question-asking: culture and gender, 2.4. research questions.

What are students’ perceptions about question-asking and curiosity in research following a project-based learning intervention in a communications course, and what role does gender play in this process?

3. Materials and Methods

3.1. participants and context, 3.2. procedure and analysis, 4.1. curiosity and question-asking.

“During the whole process, we learned a lot about the history of the Nobel prize, the life and research experiences of each prize winner. The solid knowledge foundation and a strong sense of curiosity motivated this successful research, which also inspire me to work harder and be more curious to find some questions rises from life (author’s emphasis). We got an insight of the timeline of its discovery and were excited by the indefatigable spirit of exploration” .

“During this project, finding sparks is a very interesting entry point for me to understanding better. The Nobel Prize is an ambitious project, but no matter how ambitious the study was also started by an original spark, a small idea (author’s emphasis). I think it’s very inspiring: grab some sparks and keep working on them, never give up, maybe you can also be the next Nobel winner” .

“[The discovery of graphene by isolating it from chemical waste] “Actually it was totally strange behavior for a scientist since chemical waste is always useless and dangerous. But Geim acted from curiosity, and with this strange behavior he created a legend. Probably, I should put more curiosity into everything around me.” Geim impressed another student as well, “…I have a lot of new understanding of science from Andre Geim. He won both the Ig Noble prize awarded to research that makes people laugh and the 2010 Nobel Prize. I think the source of success is curiosity. He always has strange ideas which can achieve very amazing results…. So, I think in my study I need to keep curious all the time. The strange ideas are not bad. Sometimes they may be the source to success” .

“I also saw that winning the Nobel Prize is actually a consequent result of his [Dr. Honjo] extraordinary traits of perseverance and curiosity. The project acts as a powerful tool to show us how these qualities matter in our life.” Also, “From Dr. Feynman’s life I know that curiosity is not only important, but also makes life interesting and that being proficient and focused on one’s own profession is almost the best gift to life” .

“I also learned that scientists who won the Nobel Prize are not always excellent and untouchable. They would be distressed about finishing their undergraduate studies. But he [Yoshinori] also had one of the qualities that all successful scientists almost invariably have, which is a constant curiosity and thirst for knowledge. All these will affect my future study” .

4.2. Gender and Change in Attitude towards Question-Asking

“I learned [from Frances Arnold] good scientific spirit. She is a feminist and showed me that women can be powerful too” .

“It was surprising to see how few female Nobel Prize winners there were, which made me think more about gender inequality in science” .

“We marveled at her [Frances Arnold] experience and were impressed by her perseverance. At the same time, all the members of group saw ourselves as new age women. We are convinced that setbacks cannot stop is, that the future is created by us, that the core of scientific discovery lies in discovering “no man’s land”, and we must dare to discover and innovate!”

“In the process of preparing the speech, we studied the whole procedure of the discovery, and we also had a deeper understanding of the Nobel prize itself. I highly appreciate the laureates’ love for science, meticulous attitude towards research projects, and perseverance in the face of difficulties. Their deeds inspired me to study and work harder in the future, trying to change the situation that there are far fewer female winners than male winners (author’s emphasis)” .

“I am really shy to present my ideas, but this project helped me become more confident in asking questions and participating” . (Female student)

“Curiosity drives us to find the facts, and this project reinforced my ability to ask questions and engage with the material” . (Male)

“I feel more confident now, but I still find it challenging to ask questions in front of the whole class” . (Female)

“Asking questions has always been something I enjoy, and this project made me even more confident in doing so” . (Male)

4.3. Learning from Researchers’ Biographies: Failure and Perseverance

“But in this project, through step by step understanding of Nobel Prize winners. I also slowly discovered that these legendary geniuses are actually just ordinary people like us, who make mistakes and fail. It’s just that they work harder than us, have a solid academic foundation, and have more perseverance” .

“During the whole process, we learned a lot about the history of Nobel prize, the life and research experiences of each prize winner. The solid knowledge foundation and a strong sense of curiosity motivated this successful research, which also inspire me to work harder and be more curious to find some questions rises from life. We got an insight of the timeline of its discovery and were excited by the indefatigable spirit of exploration” .

“By learning about the biographies of the three winners, I found that they have several things in common: 1. they all have their own teams; 2. none of the research processes are smooth (author’s emphasis); 3. the research results among the three complement each other” .

5. Discussion

6. limitations and conclusions, author contributions, institutional review board statement, informed consent statement, data availability statement, conflicts of interest.

Survey Question	Question Scale	Number of Students	Percentage of Students
Was your Nobel Prize presentation successful?	1 = No	0	0.0%
	2 = Maybe	41	43.2%
	3 = Yes	54	56.8%
Were you satisfied with the presentation produced by your group?	1 = No	1	1.1%
	2 = Maybe	18	18.9%
	3 = Yes	76	80.0%
Overall, was the Nobel prize project an enjoyable learning experience?	1 = Strongly disagree	11	11.6%
	2 = Disagree	3	3.2%
	3 = Neutral	20	21.1%
	4 = Agree	37	38.9%
	5 = Strongly agree	24	25.3%
What skills did you improve the most on this project? [Communication]	1 = Nothing	1	1.1%
	2 = A little bit	6	6.3%
	3 = Somewhat	24	25.3%
	4 = Much	28	29.5%
	5 = Very much	36	37.9%
What skills did you improve the most on this project? [Question-asking]	1 = Nothing	2	2.1%
	2 = A little bit	13	13.7%
	3 = Somewhat	25	26.3%
	4 = Much	29	30.5%
	5 = Very much	26	27.4%
Please give your opinion on [I have gained insight into how scientific research is conducted as a result of this project.]	1 = Nothing	1	1.1%
	2 = A little bit	6	6.3%
	3 = Somewhat	23	24.2%
	4 = Much	35	36.8%
Please give your opinion on [I was encouraged to research topics outside of the classroom.]	1 = Nothing	1	1.1%
	2 = A little bit	6	6.3%
	3 = Somewhat	19	20.0%
	4 = Much	34	35.8%
	5 = Very much	35	36.8%

Variable 1	Variable 2	Correlation Coefficient	Significance Level (p-Value)
Curiosity-driven approach	Enjoyment of group work	0.45	p < 0.01
Curiosity-driven approach	Improvement in question-asking skills	0.43	p < 0.05
Satisfaction with the Nobel Prize project	Improvement in teamwork skills	0.55	p < 0.01
Nervousness during presentations	Gender (Female)	0.50	p < 0.01
Group work experience	Success in Nobel Prize presentation	0.48	p < 0.01
Satisfaction with group presentation	Clear division of labor	0.52	p < 0.01
Enjoyment of giving oral presentations	Improvement in communication skills	0.40	p < 0.05
Time management issues	Dissatisfaction with group project outcome	−0.47	p < 0.05
Language barrier	Nervousness during presentations	0.42	p < 0.05

Problem/Issue	Male (%)	Female (%)
Group Members Not Participating	35%	40%
Nervousness During Presentation	30%	50%
Difficulty Reaching Consensus	20%	15%
Time Management Issues	10%	20%
Language Barrier	5%	5%

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Rakedzon, T.; Van Horne, C. “Curious Is as Curious Does”: Fostering Question-Asking in a Sino-Foreign Engineering School—A Case Study. Sustainability 2024 , 16 , 7308. https://doi.org/10.3390/su16177308

Rakedzon T, Van Horne C. “Curious Is as Curious Does”: Fostering Question-Asking in a Sino-Foreign Engineering School—A Case Study. Sustainability . 2024; 16(17):7308. https://doi.org/10.3390/su16177308

Rakedzon, Tzipora, and Constance Van Horne. 2024. "“Curious Is as Curious Does”: Fostering Question-Asking in a Sino-Foreign Engineering School—A Case Study" Sustainability 16, no. 17: 7308. https://doi.org/10.3390/su16177308

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CBSE Class 12 Maths Case Study : Questions With Solutions
Class 12th Maths Case Study. In class 12th Maths Case Study the questions are based on the real world scenarios. A passage filled with information or data is provided to the students. On the basis of that paragraph upto 5 questions are developed which should be answered by the students.
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Practice these questions to score well in your Board Final exams. We are providing Case Study questions for class 12 Biology based on the latest syllabi. There is a total of 13 chapters included in CBSE class 12 Maths exams. Students can practice these questions for concept clarity and score better marks in their exams.
Class 12 Maths Case Study Questions
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CBSE Class 12 Maths question paper will have case study questions too. These case-based questions will be objective type in nature. So, Class 12 Maths students must prepare themselves for such questions. First of all, you should study NCERT Textbooks line by line, and then you should practice as many questions as possible. Chapter-wise Solved ...
CBSE Class 12 Maths Important Case Study Based Questions 2024
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. By Mudit Chhikara Dec 27 ...
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CBSE Class 12th
CBSE will ask two Case Study Questions in the CBSE class 12 Mathematics questions paper. Question numbers 15 and 16 are case-based questions where 5 MCQs will be asked based on a paragraph. Each theme will have five questions and students will have a choice to attempt any four of them. Chapters. Download.
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Case Study Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions. Case Study Questions: Question 1: The Government of India is planning to fix a hoarding board at the face of a building on the road of a busy market for awareness on COVID-19 protocol. Ram, Robert and Rahim are the three engineers who are working on this project.
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Case Study on Matrices Class 12 Maths PDF
Students looking for Case Study on Matrices Class 12 Maths can use this page to download the PDF file. The case study questions on Matrices are based on the CBSE Class 12 Maths Syllabus, and therefore, referring to the Matrices case study questions enable students to gain the appropriate knowledge and prepare better for the Class 12 Maths board ...
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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. Hello students, we are providing case study questions for class 8 maths. ... 12. Difficulty Level: Easy. Ans. Option (c) is correct. Explanation: Area of square = 256 m 2 (x + 2) 2 = 162 x ...
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Case Study Questions for Class 12 Maths. Chapter 1 Relations and Functions. Chapter 2 Inverse Trigonometric Functions. Chapter 3 Matrices. Chapter 4 Determinants. Chapter 5 Continuity and Differentiability. Chapter 6 Applications of Derivatives. Chapter 7 Integrals. Chapter 8 Applications of Integrals.
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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. Hello students, we are providing case study questions for class 7 maths. ... 12 = 45 - 12 = 33. Q. 3. If one student Aavya of another class who scored 9 marks more than the doubled of ...
Case Interview Math Guide: Everything You Need to Know
They are often presented as standalone questions or follow-up queries within a larger case study. These problems test your ability to perform quick mental math under pressure. For instance, you might need to divide 100,000 by 50 to determine employee productivity or calculate 13% of $160 million to find the cost of goods sold.
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Case Study Questions for Class 12 Maths Chapter 7 Integrals
Case Study Questions for Class 12 Maths Chapter 7 Integrals. Case Study Questions: Question 1: Read the following text and answer the following questions on the basis of the same: (i) Find the value of. ∫1 −1 x99dx. (ii) Find the value of. ∫π −π x cos xdx. (iii) Find the value of.
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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.
"Curious Is as Curious Does": Fostering Question-Asking in a Sino
Curiosity and question-asking are at the heart of science and engineering education. However, question-asking can be difficult for students due to several factors, including fear, language barriers, and cultural norms. This is especially true among Chinese students, who represent a growing number of upcoming engineers. To address this, in this case study from a university teaching reform ...

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Table of Contents

3 Types of Math Problems with Examples

Word Problems

Straight Calculations

Estimation Questions

Essential Case Interview Math Formulas

Revenue and Profit Margin Calculations

Market Sizing Equations

Break-Even Analysis

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Example Cases

Casing Drills

Mock Interviews

Master Mental Math Techniques

Rounding and Estimation

Percentage Calculations

Quick Multiplication and Division

How to Stand Out in Case Interview Math

Simplify your calculations

Master the common fractions

Do not miscount the zeros

How to Prepare for Case Interview Math

Put the Theory into Practice

Practice Drills and Resources

Sample Problems

Timed Exercises

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