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Class 11 Maths Case Study Questions

**The rationale behind teaching Mathematics**

The general rationale to teach Mathematics at the senior secondary level is to assist students:

- In knowledge acquisition and cognitive understanding of basic ideas, words, principles, symbols, and mastery of underlying processes and abilities, notably through motivation and visualization.
- To experience the flow of arguments while demonstrating a point or addressing an issue.
- To use the information and skills gained to address issues using several methods wherever possible.
- To cultivate a good mentality in order to think, evaluate, and explain coherently.
- To spark interest in the subject by taking part in relevant tournaments.
- To familiarise pupils with many areas of mathematics utilized in daily life.
- To pique students’ interest in studying mathematics as a discipline.

**Case studies in Class 11 Mathematics**

A case study in mathematics is a comprehensive examination of a specific mathematical topic or scenario. Case studies are frequently used to investigate the link between theory and practise, as well as the connections between different fields of mathematics. A case study will frequently focus on a specific topic or circumstance and will investigate it using a range of methodologies. These approaches may incorporate algebraic, geometric, and/or statistical analysis.

**Sample Class 11 Mathematics case study questions**

When it comes to preparing for Class 11 Mathematics, one of the best things Class 11 Mathematics students can do is to look at some Class 11 Mathematics sample case study questions. Class 11 Mathematics sample case study questions will give you a good idea of the types of Class 11 Mathematics sample case study questions that will be asked in the exam and help you to prepare more effectively.

Looking at sample questions is also a good way to identify any areas of weakness in your knowledge. If you find that you struggle with a particular topic, you can then focus your revision on that area.

myCBSEguide offers ample Class 11 Mathematics case study questions, so there is no excuse. With a little bit of preparation, Class 11 Mathematics students can boost their chances of getting the grade they deserve.

Some samples of Class 11 Mathematics case study questions are as follows:

**Class 11 Mathematics case study question 1**

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

In drilling world’s deepest hole, the Kola Superdeep Borehole, the deepest manmade hole on Earth and deepest artificial point on Earth, as a result of a scientific drilling project, it was found that the temperature T in degree Celsius, x km below the surface of Earth, was given by:

T = 30 + 25 (x – 3), 3 < x < 15.

If the required temperature lies between 200^{o} C and 300^{o} C, then

- the depth, x will lie between
- 9 km and 13 km
- 9.8 km and 13.8 km
- 9.5 km and 13.5 km
- 10 km and 14 km

- Solve for x. -9x+2> 18 OR 13x+15 ≤−4
**x ≤ −1913**- x < −1613
- −1613 < x < −1913
- There are no solution.

**Find the inequality represented by the graph**

- y ≤ 12x+2
- y > 12x+2
- y ≥ 12x+2
- y < 12x+2

- If |x| < 5 then the value of x lies in the interval
- (-∞, -5)
- (∞, 5)
- (-5, ∞)
- (-5, 5)

- Graph the following inequality on the number line: x > −32

**Answer Key:**

- (b) 9.8 km and 13.8 km
- (a)

**−1913 ≤ x** - (b) y > 12x+2
- (d) (-5, 5)
- (d)

**Class 11 Mathematics case study question 2**

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

A state cricket authority has to choose a team of 11 members, to do it so the authority asks 2 coaches of a government academy to select the team members that have experience as well as the best performers in last 15 matches. They can make up a team of 11 cricketers amongst 15 possible candidates. In how many ways can the final eleven be selected from 15 cricket players if:

- there is no restriction
- 1365
- 2365
- 1465
- 1375

- one of then must be included
- 1002
- 1003
- 1001
- 1004

- one of them, who is in bad form, must always be excluded
- 480
- 364
- 1365
- 640

- Two of them being leg spinners, one and only one leg spinner must be included?
^{2}C_{1}×^{13}C_{10}^{2}C_{1}×^{10}C_{13}^{1}C_{2}×^{13}C_{10}^{2}C_{10}×^{13}C_{10}

- If there are 6 bowlers, 3 wicket-keepers, and 11 batsmen in all. The number of ways in which a

A team of 4 bowlers, 2 wicket-keepers, and 5 batsmen can be chosen.^{6}C_{2}×^{3}C_{4}×^{11}C_{5}^{6}C_{2}×^{3}C_{4}×^{11}C_{5}^{6}C_{2}×^{3}C_{5}×^{11}C_{4}^{6}C_{2} ×^{3}C_{1} ×^{11}C_{5}

**Answer Key:**- (a)
- (b) (13)
^{4}ways - (c) 2860 ways.
- (c) n!
- (a) 9, 4

- there is no restriction

**Class 11 Mathematics case study question 3**

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

Father of Ashok is a builder, He planned a 12 story building in Gurgaon sector 5. For this, he bought a plot of 500 square yards at the rate of Rs 1000 /yard². The builder planned ground floor of 5 m height, first floor of 4.75 m and so on each floor is 0.25 m less than its previous floor.

**Now Answer the following questions:**

- What is the height of the last floor?
- 2.5 m
- 2.75 m
- 2.25 m
- 3 m

- Which floor no is of 3 m height?
- 5
- 7
- 10
- 9

- What is the total height of the building?
- 40 m
- 43.5
- 40.5 m
- 44 m

- Up to which floor the height is 33 m?
- 8
- 7
- 10
- 9

- Which floor no. is half in height of ground floor?
- 10
- 9
- 12
- 11

**Answer Key:**

- (c) 2.25 m
- (d) 9
- (b) 43.5
- (a) 8 m
- (d) 11

**Class 11 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

**A peek at the Class 11 Mathematics curriculum**

The Mathematics Syllabus has evolved over time in response to the subject’s expansion and developing societal requirements. The Senior Secondary stage serves as a springboard for students to pursue higher academic education in Mathematics or professional subjects such as Engineering, Physical and Biological Science, Commerce, or Computer Applications. The current updated curriculum has been prepared in compliance with the National Curriculum Framework 2005 and the instructions provided by the Focus Group on Teaching Mathematics 2005 in order to satisfy the rising demands of all student groups. Greater focus has been placed on the application of various principles by motivating the themes from real-life events and other subject areas.

**Class 11 Mathematics (Code No. 041) **

S.no. | Units | No. of Periods | Marks |

I. | Sets and Functions | 60 | 23 |

II. | Algebra | 50 | 25 |

III. | Coordinate Geometry | 50 | 12 |

IV. | Calculus | 40 | 08 |

V. | Statistics and Probability | 40 | 12 |

Total | 240 | 80 | |

Internal Assessment | 20 |

**Design of Class 11 Mathematics exam paper**

CBSE Class 11 mathematics question paper is designed to assess students’ understanding of the subject’s essential concepts. Class 11 mathematics question paper will assess their problem-solving and analytical abilities. Before beginning their test preparations, students in Class 11 maths should properly review the question paper format. This will assist Class 11 mathematics students in better understanding the paper and achieving optimum scores. Refer to the Class 11 Mathematics question paper design provided.

** Class 11 Mathematics Question Paper Design**

S.No. | Typology of Questions | Total Marks | % Weightage |

1. | Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. | 44 | 55 |

Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas | |||

2 | Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. | 20 | 25 |

3 | Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations | 16 | 20 |

Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria. | |||

Total | 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.

Internal Assessment | 20 Marks |

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

Mathematics Activities | 10 Marks |

** ****Prescribed Books:**

- Mathematics Textbook for Class XI, NCERT Publications
- Mathematics Exemplar Problem for Class XI, Published by NCERT
- Mathematics Lab Manual class XI, published by NCERT

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