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Class 11 Applied Maths Case Study Questions

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**Applied Mathematics: Foundations for Class 11 students**

Mathematics is already divided into two levels by CBSE: Basic (easy) and Standard (challenging, though not as difficult as Class 10). After Class 10, “Basic” is for students who do not wish to continue studying mathematics, and “Standard” is for those who want to continue

Now, the idea struck that people who don’t want to continue with math or aren’t permitted to do so with Mathematics (code 041), which covers Trigonometry, Vectors, 3D, etc., should still be given the opportunity to comprehend the practical necessity for it, therefore CBSE developed Applied Mathematics (code 241). Any skill topic has a certain job role as its focus. However, the elective course Applied Mathematics focuses on the field of Mathematics with a particular focus on its applications.

**Much-needed Applied Mathematics Subject**

Students who attend secondary school are better equipped to choose their career opportunities when they graduate. A crucial subject that aids students in selecting their career paths in mathematics. In higher education, mathematics is frequently employed as a supplementary topic in the fields of economics, commerce, social sciences, and many others. According to observations, students who want to study Commerce or Social Science in college may not be able to use the senior secondary mathematics curriculum designed for science topics. With this in mind, the mathematics curriculum for senior secondary classes is expanded to include an additional elective subject with the goal of giving pupils useful math training outside of the physical sciences.

**Relevance of Class 11 Applied Mathematics Case Study Questions**

- To understand the importance of data in modern society, case studies based on data from the fields of business, economics, psychology, education, biology, and census data will be used.
- Class 11 Applied Mathematics Case Study Questions also strengthen logical thinking abilities such as developing and verifying mathematical arguments, framing instances, and identifying counter examples.
- It motivates Class 11 Applied Mathematics students to do mathematical research and to forge linkages between mathematical concepts and other academic fields.
- Class 11 Applied Mathematics students will gain a solid grasp of descriptive and inferential statistics through the Class 11 Applied Mathematics case study questions, which they may then use to describe, evaluate, and draw conclusions from a given set of data.

**Illustrations of Class 11 applied mathematics case study questions**

The use of mathematical techniques to solve issues in the actual world is known as applied mathematics. A student’s capacity to apply mathematical ideas to situations that occur in the real world is evaluated using Class 11 applied mathematics case study questions

Below are some illustrations of applied mathematics case study problems for class 11

**Class 11 applied mathematics case study question 1**

**Read the Case study given below and attempt any 4 subparts:**

A farmer, Ramgarh, took a bank loan from SBI for repairing his house. But he could not pay the amount on time.

This resulted in the accumulation of interest and the amount to pay reached Rs.1,00,000.

After a few months, the farmer opened a shop that resulted in enough income and the income increased on a regular basis. So he decided to pay the bank loan in a different manner.

The farmer visited the bank. He made an agreement with the bank that he will start paying the amount of Rs.1,00,000 without interest from Jan 2020. In January he will pay Rs.5000 and will increase the payment by Rs. 100 in each month, as shown in the figure.

Now answer the following questions:

- In how many months will the farmer clear the loan amount?
- 16
- 15
- 18
- 20

- How much amount he has to pay in last month in rupees?
- 1400
- 1500
- 1800
- 2000

- In which month he will pay Rs.6000?
- 14th
- 10th
- 12th
- 11th

- How much amount he will pay in 10th month in Rs.?
- 6000
- 6400
- 7500
- 7000

- How much amount in rupees till 10th month he will have paid?
- 54500
- 50000
- 55000
- 60000

**Answer Key:**

- (c) 18
- (a) 1400
- (d) 11th
- (b) 6400
- (a) 54,500

### Class 11 applied mathematics case study question 2

**Read the Case study given below and attempt any 4 sub parts:**

In a colony, as shown in the following picture, an electric pole has been installed. The pole has been tied by strong wire PQ to support this pole, some electricians were working on the staircase PS.

In the left and right side of the pole, two street lights are fixed at a height of 3m and 4m respectively. These lights are given supply by wires PM and PN. The height OP=5 m and O is the origin.

**Now answer the following questions:**

- What are the coordinates of point P?
- (5, 0)
- (0, 5)
- (0, -5)
- (0, 10)

- What is the length of the staircase?
- 12 m
- 15 m
- 13m
- 20 m

- What is the area of the ΔOPQ?
- 12 m²
- 15 m²
- 13m²
- 20 m²

- What is the equation of line PN?
- x + 15y = -75
- x – 15y + 75 = 0
- x + 5y = 50
- x – 5y = 20

- What is length of wire PM?
- 2√26 m
- √26 m
- 26 m
- 25 m

**Answer Key:**

- (b) (0, 5)
- (c) 13 m
- (d) 20 m²
- (b) x – 15y + 75 = 0
- (a) 2√26 m

### Class 11 applied mathematics case study question 3

**Read the Case study given below and attempt any 4 sub parts:**

During the math class, a teacher clears the concept of permutation and combination to the 11th standard students. After the class was over she asks the students some questions, one of the question was: how many numbers between 99 and 1000 (both excluding) can be formed such that:

- every digit is either 3 or 7.
- 8 ways
- 2 ways
- 27ways
- 16 ways

- there is no restriction.
- 1000 ways
- 900 ways
- 800 ways
- 700 ways

- no digit is repeated.
- 684 ways
- 600 ways
- 648 ways
- 729 ways

- the digit in hundred’s place is 7.
- 70 ways
- 80 ways
- 90 ways
- 100 ways

- at least one of the digits is 7.
- 252 ways
- 525 ways
- 200 ways
- 500 ways

**Answer Key:**

- (a) 8 ways
- (b) 900 ways
- (c) 648 ways
- (d) 100 ways
- (a) 252 ways

**Class 11 applied mathematics case study question 4**

**Read the Case study given below and attempt any 4 sub parts:**

villages of Shanu and Arun’s are 50km apart and are situated on Delhi Agra highway as shown in the following picture. Another highway YY’ crosses Agra Delhi highway at O(0,0). A small local road PQ crosses both the highways at pints A and B such that OA=10 km and OB =12 km. Also, the villages of Barun and Jeetu are on the smaller high way YY’. Barun’s village B is 12km from O and that of Jeetu is 15 km from O.

**Now answer the following questions:**

- What are the coordinates of A?
- (10, 0)
- (10, 12)
- (0,10)
- (0,15)

- What is the equation of line AB?
- 5x + 6y = 60
- 6x + 5y = 60
- x = 10
- y = 12

- What is the distance of AB from O(0, 0)?
- 60 km
- 60/√61 km
- √61 km
- 60 km

- What is the slope of line AB?
- 6/5
- 5/6
- -6/5
- 10/12

- What is the length of line AB?
- √61 km
- 12 km
- 10 km
- 2√ 61 km

**Answer Key:**

- (a) (10, 0)
- (b) 6x + 5y = 60
- (b) 60/√ 61 km
- (c) -6/5
- (d) 2√61 km

Class 11 applied mathematics case study questions presented here are based on real-life applications of ideas learned in Class 11. These questions will assist students to understand how case study questions will be asked in papers. The questions are intended to assess the student’s comprehension of the principles as well as their ability to apply them to realistic conditions.

**What students will study in Class 11 Applied Mathematics?**

Students in Class 11 Applied Mathematics will study a number of topics. Topics in Class 11 Applied Mathematics are significant for students who want to career in mathematics or a related discipline. Students will build critical problem-solving abilities in their future studies and professions by studying Class 11 Applied mathematics themes.

**CBSE Class 11 Applied Mathematics (Code No. 241) **

No. | Units | No. of Periods | Marks |

I. | Numbers, Quantification and Numerical Applications | 25 | 09 |

II. | Algebra | 45 | 15 |

III. | Mathematical Reasoning | 15 | 06 |

IV. | Calculus | 35 | 10 |

V. | Probability | 25 | 08 |

VI. | Descriptive Statistics | 35 | 12 |

VII | Basics of Financial Mathematics | 45 | 15 |

VIII | Coordinate Geometry | 15 | 05 |

Total | 240 | 80 | |

Internal Assessment | 20 |

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