Category: CBSE Sample Papers

Students can access the CBSE Sample Papers for Class 11 English Education with Solutions and marking scheme Term 2 Set 5 will help students in understanding the difficulty level of the exam.

CBSE Sample Papers for Class 11 English Term 2 Set 5 for Practice

Time : 2 Hours
Maximum Marks : 40

General Instructions :

• The Question Paper contains THREE sections-READING, WRITING & GRAMMAR and LITERATURE.
• Attempt questions based on specific instructions for each part.

Section A
Reading

Question 1.
Read the passage given below :

Mehmood, the kite-maker, had in the prime of his life been well known throughout the city. Some of his more elaborate kites once sold for as much as three or four rupees each.

At the request of the Nawab, he had once made a very special kind of kite, unlike any that had been seen in the district. It consisted of a series of small, very light paper disks trailing on a thin bamboo frame. To the end of each disk, he fixed a sprig of grass, forming a balance on both sides.

The surface of the foremost disk was slightly convex, and a fantastic face was painted on it, having two eyes made of small mirrors. The disks, decreasing in size from head to tail, assumed an undulatory form and gave the kite the appearance of a crawling serpent. It required a great skill to raise this cumbersome device from the ground, and only Mehmood could manage it.

Everyone had heard of the ‘Dragon Kite’ that Mehmood had built, and word went round that it possessed supernatural powers. A large crowd assembled in the open to watch its first public launching in the presence of the Nawab.

At the first attempt, it refused to leave the ground. The disks made a plaintive, protesting sound, and the sun was trapped in the little mirrors, making the kite a living, complaining creature. Then the wind came from the right direction, and the Dragon Kite soared into the sky, wriggling its way higher and higher, the sun still glinting in its devil-eyes.

And when it went very high, it pulled fiercely on the twine, and Mehmood’s young sons had to help him with the reel. Still the kite pulled, determined to be free, to break loose, to live a life of its own. And eventually it did so. The twine snapped, the kite leaped away towards the sun, sailing on heavenward until it was lost to view.

It was never found’again, and Mehmood wondered afterwards if he made too vivid, too living a thing of the great kite. He did not make another like it. Instead, he presented to the Nawab a musical kite, one that made a sound like a violin when it rose in the air.

Those were more leisurely, more spacious days. But the Nawab had died years ago, and his descendants were almost as poor as Mehmood himself. Kite-makers, like poets, once had their patrons, but no one knew Mehmood, simply because there were too many people in the Gali, and they could not be bothered with their neighbors.

When Mehmood was younger and fell sick, everyone in the neighborhood came to ask about his health, but now, when his days were drawing to a close, no one visited him. Most of his old friends were dead and his sons had grown up: one was working in a local garage and the other, who was in Pakistan at the time of the partition, had not been able to rejoin his relatives.

The children, who had bought kites from him ten years ago, were now grown men, struggling for a living; they did not have time for the old man and his memories. They had grown up in a swiftly changing and competitive world, and they looked at the old kite-maker and the banyan tree with the same indifference.

Both were taken for granted-permanent fixtures that were of no concern to the raucous, sweating mass of humanity that surrounded them. No longer did people gather under the banyan tree to discuss their problems and their plans; only in the summer months did a few seek shelter from the fierce sun.

Based on your understanding of the passage, answer ANY EIGHT questions from the nine given below. (1 x 8 = 8)

(i) Give one point of evidence that shows that Mehmood was a very good kite-maker

(ii) On whose request did Mehmood make the dragon kite?

(iii) What did the crowd believe the kite possessed?

(iv) The passage has drawn an analogy between two things. What are they?

(v) Rewrite the following sentence replacing the underlined words with a word or phrase from lines 20 to 30 in the passage.

Salman said that he needed a ball of strong string to tie the bundles.

(vi) What types of kite did Mehmood make?

(vii) Use a suitable word or phrase from lines 10-15 from the passage to complete this sentence.

The surface of the plains was not smooth; it was.

(viii)The author says, ‘Both were taken for granted Who or what is being spoken about in this sentence?

(ix) What happened to the dragon kite?

Question 2.
Read the following passage. (5)

(1) The tests of life are its plus factors. Overcoming illness and suffering molds character. Steel is iron plus fire, soil is rock plus heat. Sometimes the plus factor is more readily seen by the simple-hearted. Myers tells the story of a mother who brought into her home – as a companion to her own son- a little boy with a hunch back.

She had warned her son to be careful, not to refer to his disability. The boys were playing and after a few minutes, she overheard her son say to his companion “Do you know what you have got on your back?” The little boy was embarrassed, but before he could reply, his playmate continued, “It is the box in which your wings are, and some day God is going to cut it open and then you will fly away and be an angel.”

(2) Often it takes a third eye or a change in focus, to see the plus factor. Walking along the corridors of a hospital recently, where patients were struggling with fear of pain and tests, I was perturbed. What gave me a fresh perspective were the sayings put up everywhere, intended to uplift. One saying made me conscious of the beauty of the universe in the midst of pain, suffering and struggle. The other saying assured me that God was with me when I was in deep water and that no troubles would overwhelm me.

(3) The importance of those sayings also made me aware of the nethar springs that flow into people’s lives when they touch rock bottom or are lonely or guilt-ridden. The nethar springs make recovery possible, and they bring peace and patience in the midst of negative forces.

(4) The forces of death and destruction are more psychological than physical. When malice, hatred and hard-heartedness prevail, they get channelled as forces of destruction. Where openness, peace and good-heartedness prevail, the forces of life gush forth to regenerate hope and joy.

The life force is triumphant when love overcomes fear. Both fear and love are deep mysteries, but the effect of love is to build, whereas fear tends to destroy. Love is generally the plus factor that helps build character. It creates bonds and its reach is infinite.

(A) On the basis of your reading of the above passage, make note on it using headings and sub-headings. Use recognisable abbreviations (wherever necessary-minimum 4) and a format you consider suitable. Also supply an appropriate title to it. (3)

(B) Write a summary of the above passage in about 50 words. (2)

Section B
Writing and Grammar (12 Marks)

Question 3.
Design a poster for your School Fete. You may use slogans. Do not exceed 50 words. (3)

Question 4.
Attempt ANY ONE from (A) and (B) given below.

(A) Vishal/Veena, a student of class XI of 10 Green Park, New Delhi is interested in learning languages. He/ she sees an advertisement in the ‘Times of India’ issued by “The Institute of Foreign languages”, New Delhi about the certificate course in Japanese offered by them. He/she decides to write a letter to the Director of the Institute seeking more information about the course duration, working hours, fee structure, etc. Write the letter. (Word-Limit 120-150 words.) (5)

(B) A number of your classmates (especially those from science and commerce streams) bunk their classes in order to attend coaching classes. Write a debate in 150-200 words on ‘Tuition at coaching centres is not essential. (5)

Question 5.
Do as directed. (1 x 4 = 4)
(i) the class/at once/ordered/you/are/to leave (Rearrange the given words to make meaningful sentence.)

(ii) One man’s meat is another man’s poison. (Identify a determiner in the sentence.)

(iii) _______________ girls have not come for sports practice. (Fill a suitable determiner in the blank.)

(iv) _______________ your homework? (Fill in the blank with the correct tense form.)

Section C
Literature (15 Marks)

Question 6.
Answer the following questions within 30-40 words each.
(i) Give the central idea of the poem, The Voice of the Rain.
(ii) Why do people willingly undergo the trials of difficult journeys?
(iii) What happens when it rains after a long hot spell?

Question 7.
Answer the following questions within 70-80 words each. (3 x 3 = 9)

(i) Compare and contrast Andrew’s emotional, mental and physical state at the beginning of the story and at the end.
OR
What is the reaction of Doris and Cyril to the unusual behavior of their mother?

(ii) Why did the Headmaster summon Albert? What was the outcome?

(iii) Write a brief character sketch of Frank Hunter.

Students can access the CBSE Sample Papers for Class 11 Applied Mathematics with Solutions and marking scheme Term 2 Set 3 will help students in understanding the difficulty level of the exam.

CBSE Sample Papers for Class 11 Applied Mathematics Term 2 Set 3 for Practice

Time : 2 Hours
Maximum Marks : 40

General Instructions:

• The question paper is divided into 3 sections -A, B and C.
• Section A comprises of 6 questions of 2 marks each. Internal choice has been provided in two questions.
• Section B comprises of 4 questions of 3 marks each. Internal choice has been provided in one question.
• Section C comprises of 4 questions. It contains one case study-based question. Internal choice has been provided in one question.

Section – A [2 Marks each]

Question 1.

Question 2.
Define direct and indirect taxes.

Question 3.
₹ 5,000 is invested in a Term Deposit Scheme that fetches interest 6% per annum compounded quarterly. What will be interest after one year ? What is effective rate of interest ? [(1.015)⁴ = 1.0613]
OR
Sachin deposited ₹ 1,00,000 in his bank for 2 years at simple rate of 6%. How much interest would he earn ? How much would be the final value of deposit ?

Question 4.
Reporting time of an employee is given below:

If the reporting time is 10 : 30 a.m., then find the probability of his coming late.

Question 5.
Find the equation of the line passing through (1, 2) and parallel to the line y = 3x – 1.

Question 6.
Determine n, if ²ⁿC₃: ^{nC₃ = 12 : 1.}

Section – B [3 Marks each]

Question 7.
A girl throws a die. If she gets a 5 or 6, she tosses a coin three times and notes the number of heads. If she gets 1,2,3 or 4, she tosses a coin two times and notes the number of heads obtained. If she obtained exactly two heads, what is the probability that she threw 1,2, 3 or 4 with the die ?

Question 8.
Find the equation of the circle which passes through (1, -2) and (4, – 3) and whose centre lies on the line 3x + 4y =

Question 7.
OR
Find the equation of circle which passes through the points (0, 2), (3, 0) and (3, 2). Find also the centre and radius of this circle.

Question 9.
A bag contains 8 red and 5 white balls. Two successive draws of all 3 balls are made at random from the bag without replacements. Find the probability that the first draw yields 3 white balls and second draw yields 3 red balls.

Question 10.
₹ 2 ,000 is invested at annual rate of interest of 10%. What is the amount after two years if compounding is done (a) annually (b) semi-annually (c) quarterly.

Section – C [4 marks each]

Question 11.
If all the word “MOTHER” are written in all possible orders and the word so formed are arranged in a dictionary order, then find the rank of word ‘MOTHER’ ?

Question 12.
Calculate the income tax payable by following individuals for the assessment year 2020-21: [U]

OR
Compute the tax liability of Mr. A (aged 42), having total income of ₹ 1,01,00,000 for AY 2020-21.

Question 13.
Find the derivative of x³ – 27 by the first principle method.

Question 14.
Read the following text and answer the following questions on the basis of the same:
At a point of time, people need only some currency for their day- to-day needs. For instance, workers who receive their salaries at the end of each month have extra cash at the beginning of the month.
What do people do with this extra cash? They deposit it with the banks by opening a bank account in their name. Banks accept the deposits and also pay an amount as interest on the deposits. In this way people’s money is safe with the banks and it earns an amount as interest.

Roshan invested ₹ 50,000 in bank at the rate of 10% per annum compounded annually.
On the basis of information given above, answer the following questions:
(a) What will be the interest for the first year and interest for the second year? (2)
(b) What is the difference between the simple interest and compound interest for the first year and for the first two years? (2)

Students can access the CBSE Sample Papers for Class 11 English Education with Solutions and marking scheme Term 2 Set 4 will help students in understanding the difficulty level of the exam.

CBSE Sample Papers for Class 11 English Term 2 Set 4 for Practice

Time : 2 Hours
Maximum Marks : 40

General Instructions :

• The Question Paper contains THREE sections-READING, WRITING & GRAMMAR and LITERATURE.
• Attempt questions based on specific instructions for each part.

Section A
Reading (13 Marks)

Question 1.
Read the passage given below :

Computers are capable of doing extremely complicated work in all branches of learning. They can solve the most complex mathematical problems or put thousands of unrelated data in order. These machines can be put to varied uses. For instance, they can provide information on the best way to prevent traffic accidents. They work accurately and at high speed.

They save research workers’ years of hard work. This whole process, by which machines can be used to work for us, has been called ‘automation’. In future, automation may enable human beings to enjoy more leisure than they do today. The coming of automation is bound to have important social consequences.

Some years ago, an expert on automation, Sir Leon Bagrit pointed out that it was a mistake to believe that these machines could think. There is no possibility that human beings will be controlled by machines. Though computers are capable of learning from their mistakes and improving on their performances, they need detailed instructions from human beings to be able to operate. They can never lead independent lives or rule the world by taking decisions of their own.

Sir Leon said that in future, computers would be developed which would be small enough to be carried in one’s pocket. Ordinary people would then be able to use them to obtain valuable information. Computers could be plugged into a wireless network and can be used like radios.

For instance, people going on holiday, could be informed about weather conditions. Car drivers can be given an alternative route, when there is a traffic jam. It will also be possible to make tiny translating machines. This will enable people, who do not share a common language, to talk to each other without any difficulty or to read foreign publications.

It is impossible to assess the importance of a machine of this sort, for many international misunderstandings are caused simply due to our failure to understand each other. Computers will also be used in ordinary public hospitals. By providing a machine with a patient’s system, a doctor will be able to diagnose the nature of his illness.

Similarly, machines could be used to keep a check on a patient’s health record and bring it up-to-date. Doctors will, therefore, have immediate access to many facts which will help them in their work. Book-keepers and accountants too could be relieved of dull clerical work, for the tedious task of compiling, and checking lists or figures, could be done entirely by machines. Computers are the most efficient servant, man has ever had and there is no limit to the way they can be used to improve our lives.

Based on your understanding of the passage, answer ANY EIGHT questions from the nine given below. (1 x 8 = 8)

(i) Give one point of argument that shows that computers cannot control human beings.

(ii) Why does the passage say that computers are the most efficient servant that man has ever had?

(iii) Who was Sir Leon Bagrit?

(iv) What is automation?

(v) Rewrite the following sentence replacing the underlined word with a word or phrase from lines 10 to 15 in the passage.

Your carelessness can lead to bad results.

(vi) How are computers helpful for the book-keepers and the accountants?

(vii) Use a suitable word or phrase from lines 35-40 from the passage to complete this sentence.

The procedure of filling the form and taking admission in the college is.

(viii) How can many international misunderstandings be averted?

(ix) Give any one use of computers for doctors while treating their patients.

Question 2.
Read the following passage. (5)
(1) In life, you’ll always come across situations where there will be someone else who’s better than you, someone who looks better, has more money or is more intelligent than you. How you choose to approach these situations depends on the perspective you take. Rather than judging people on a single attribute and getting intimidated, be comfortable with who you are and approach other people as complete individuals rather than a bundle of good or bad attributes.

(2) The key to not letting others intimidate you is to know your own worth. Don’t let your sense of worth be defined by what others think of you or how you compare yourself with them. Know what you are, and be comfortable in your skin. Instead of feeling threatened and letting your ego in the way, you could benefit a great deal by being around people who might be better than you in some ways. Respect others for what they are and use these opportunities to learn from the strengths and virtues of others.

(3) Don’t get bogged down by what you don’t have or can’t do. We all have limitations. Learn to accept them and focus on your strengths. A lot of times, we come under pressure due to a bid to fit in with more popular or more influential people. However, at times like these, it’s important for you to stay true to yourself and say ‘no’ when you’re expected to do something that makes you uncomfortable.

(A) On the basis of your reading of the above passage, make note on it using headings and subheadings. Use recognisable abbreviations (wherever necessary-minimum 4) and a format you consider suitable. Also supply an appropriate title to it. (3)

(B) Write a summary of the above passage in about 50 words. (2)

Section B
Writing and Grammar (12 Marks)

Question 3.
As the manager of ‘Excellent Coaching Centre’ run by you, prepare a poster calling attention of the students desirous of attending IIT, CPMT courses to join your coaching centre. (3)

Question 4.
Attempt ANY ONE from (A) and (B) given below.

(A) Write a letter to your Principal, requesting him to issue a character certificate and a certificate to certify that you are a regular student of the school. Also write why you need it. (5)

(B) “A career counsellor (not you, yourself) is the best person to guide you in the choice of a career.” Write a debate in 150 words either for or against the motion.

Question 5.
A. Fill in the blanks to complete the following sentences. (1 x 4 = 4)
(i) My new car consumes too petrol.

(ii) By the time I left England, we in Bristol for five years.

(iii) What next week?

B. Rearrange the given words to form a meaningful sentence, this/letter/has/been/your/grandfather/by/written

Section C
Literature (15 Marks)

Question 6.
Answer the following questions within 30-40 words each. (2 x 3 = 6)

(i) Why is the rain compared to music?

(ii) What do you learn about the system of education in old, British schools from the play, “The Browning Version”?

(iii) Bring out the hypocrisy that the adults exhibit with regard to love.

Question 7.
Answer the following questions within 70-80 words each. (3 x 3 = 9)

(i) The play ‘Mother’s Day’ is a humorous and satirical depiction of the status of the woman in a family. Bring out briefly the elements of humour and satire.
OR
Describe the thoughts and feelings of Andrew Manson as he sat dozing by the kitchen fire?

(ii) Why was Albert quite nervous when he met the doctor? What did this nervousness indicate about his nature?

(iii) Meeting Norbu came as an immense relief to the narrator. Why?

Students can access the CBSE Sample Papers for Class 11 English Education with Solutions and marking scheme Term 2 Set 3 will help students in understanding the difficulty level of the exam.

CBSE Sample Papers for Class 11 English Term 2 Set 3 for Practice

Time : 2 Hours
Maximum Marks : 40

General Instructions :

• The Question Paper contains THREE sections-READING, WRITING & GRAMMAR and LITERATURE.
• Attempt questions based on specific instructions for each part.

Section A
Reading

Question 1.
Read the passage given below :

A.E J. Abdul Kalam was a multifaceted personality, a statesman, and a visionary and above all a good human being. He was a brilliant scientist and a modern thinker. When I joined him as a Press Secretary, after ten days of his becoming the President, at his very first meeting gave me his vision of a developed India.

He spoke of how he wanted to make Rashtrapati Bhavan a people’s place where voice of the millions of downtrodden people of India would be heard and action would be taken. Indeed during his time, Rashtrapati Bhavan became a people’s place and he became popular as People’s President. He wanted that institution of the President to be totally identified by ordinary people.

President Kalam took his Presidency seriously from the day one. He was as comfortable with constitutional and legal issues as he was with the school children. He was committed to building the nation and created a vision document to make India a developed nation by 2020. He made a PowerPoint presentation for the senior ministers and bureaucrats on this.

He used to make PowerPoint presentations at conferences and seminars both in India and abroad to discuss that vision. On these, he used to work himself and he was very particular about every word and sentence.

He did it during his visits abroad and while meeting dignitaries such as the US President, George Bush and Pakistan President, Pervez Musharaf. When he presented his vision of India’s nuclear energy requirements to Mr. Bush and his vision of a joint fight that India and Pakistan could wage against poverty, the respective Presidents commented that they had to become scientists to understand the presentation. You can’t think of any other President of a country who would have done that.

His vision for tire nation was based on equality, the dignity of the individual and justice, social, economic and political, to every Indian. Only then can India succeed and everybody sing the song of India, he used to say this. I met him last on July 22, five days before his demise. It was a one-on-one meeting that lasted a good 40 minutes. He was full of ideas as always, very active and discussed different subjects. He used to tell me, “Whatever you do, do differently. Wherever you work, leave a mark and be remembered.”

During his presidency, he was always comfortable, except on two occasions, when his unease was visible. When he had to give his consent to the Office of Profit Bill, 2006 after it was sent for the second time by the Parliament, and when he had to approve the ordinance on Disqualification of Elected Representatives in 2004 as it was sent to him by the Cabinet for a second time.

He was an icon for the youth. He used to say “Aiming small is a crime. Youth should have the courage to think differently and explore unexplored paths. Difficulties would come but don’t be afraid of them-overcome them with your intellect and hard work.”

The man who pioneered India’s missile programme was always proud of his work at the Indian Space Research Organisation and other scientific institutions. He used, to believe that a scientific approach could find a solution to every problem.

He was an ardent secularist, and also a religious man. He believed that all the religions are like beautiful islands, but there is no connectivity between them. We should strive to achieve this connectivity and transform religion into spirituality. For him, religion and morality were the same.

A man of vision, he always worked in mission mode. He had a mission to meet 10 lakh students and interact with them. He completed this when he left Rashtrapati Bhavan. He continued with this till Iris last breath. His child-like simplicity was an instant hit.

He got the sobriquet of being the People’s President because of his humility and accessibility. President Kalam always worked towards building consensus rather than ramming down decisions. He came from a modest background, but educated himself and worked hard to rise to the top. He was simply the Missile Man whose books were prime-sellers, whose lectures were always housed full. He was adored by the children as he would give them easy-to-digest messages.

Based on your understanding of the passage, answer ANY EIGHT questions from the nine given below. (1 x 8 = 8)

(i) Give one word that covers the many qualities of A.RJ. Abdul Kalam.

(ii) What was so special about A.PJ. Abdul Kalam that no other president could do?

(iii) Which qualities made him loved by children?
(iv) Which bills were not passed by A.PJ. Abdul Kalam? Why?

(v) Rewrite the following sentence replacing the underlined words with a word or phrase from lines 30 to 35 in the passage.
Both his parents are persons of high position in the police force.

(vi) What could be the meaning of ‘mission mode’ in context with the passage?

(vii) Use a suitable phrase from lines 40-45 from the passage to complete this sentence.
Since childhood, Rajeev has been an fan of Sachin Tendulkar.

(viii) Which attribute, according to Dr. Kalam, could solve all the problems?

(ix) What shows that Dr. Kalam had a versatile and flexible personality?

Question 2.
Read the following passage. (5)

(1) The mynah perhaps needs to make some apology for his yellow stockings, since such mustard-coloured understandings are not usual among small birds, pertaining rather to the rapacious tribe, and being thus a badge of anything but respectability.

But the mynah atones for his yellow legs, feet, and face, by the exceedingly decorous plumage which covers the rest of him; no objection can be to his black hood, or the sober chocolate of his body colour, or to the plain black, diversified with white, of his quills and tail.

(2) Nevertheless as a starling, our present subject is a rather big and showy bird, being certainly equal in looks to any of his relatives in Calcutta, none of which bear the shot silk sheen of green and purple which adorns the home starling, also a visitor to India, for this starling or Mynahs are in great force in the East, which is their true home, and the common Mynah is a good type of the clan.

(3) Bold, vigorous and pushing, he secures to himself a large share of all the good things in the way of insects and fruit that may be going, and is a bird of remarkably all round abilities, though not particularly graceful in his movements. On the ground, he runs and walks well, hopping when he wants to put an extra spurt, albeit there is a swing in his gait which is not particularly elegant. No doubt, however, he is proud of this, as it is a family character; geese, which do not not suffer from excessive modesty, have a similar style of going, are known to bare doubtable pedestrians in their quiet way.

(4) Mynah, unlike other ground birds, is nimble and active in a tree as well; and his flight, though not remarkably fast, is tolerant enough for ease, and he feels sufficient confidence in it to occasionally attempt a little insect-catching on the wing, when his quarry has got away from him on foot. When he flies, he tucks up his long yellow shanks to his breast, showing conclusively that birds which stow their legs this way when on the wing do so by custom, not for convenience, for from their size one would think that he would do better to stow them astern like the paddy bird and other waders.

(A) On the basis of your reading of the above passage, make note on it using headings and sub-headings. Use recognisable abbreviations (wherever necessary-minimum 4) and a format you consider suitable. Also supply an appropriate title to it. (3)

(B) Write a summary of the above passage in about 50 words. (2)

Section B
Writing and Grammar [12 marks]

Question 3.
Prepare a poster on behalf of the Municipal Authority of your city informing the citizens about how to protect themselves against mosquitoes. (3)

Question 4.
Attempt ANY ONE from (A) and (B) given below.

(A) You are Deepak/Deepika of 14, Mall Road Kochi. You saw an advertisement put up by Horizon Coaching Centre which provides coaching for Medical Entrance Exam. As you are interested in enrolling yourself, write a letter in 120-150 words to the Director, Horizon Coaching Centre, Chennai requesting him to inform you about the necessary details. (5)

(B) “Our large population is not a cause of poverty but an asset, a resource.” Write a debate in 120-150 words either for or against the motion. (5)

Question 5.
Do as directed. (1 X 4 = 4)

(i) In the last hundred years, travelling much easier and comfortable. (Fill in the blank with the correct form of the verb, ‘become’.)

(ii) He (pass) all subjects. (Fill in the blank using the present perfect tense.)

(iii) The father and son had grown too distant to talk to each other. (Rewrite removing “too”.)

(iv) how/you had/at the interview/done/us/let/know (Rearrange the given words/ phrases to form a meaningful sentence.)

Section C
Literature [15 marks]

Question 6.
Answer the following questions within 30-40 words each. (2 X 3 = 6)

(i) How does Markus Natten use various poetic devices to make the poem ‘Childhood’ more rhythmic?

(ii) In the ‘Silk Road’, Nick Middleton visits many places during the pilgrimage. Give a brief account of the author’s visit to the medical college at Darchen and the effect of the Tibetan medicines on him.

(iii) Why does the rain call itself ‘impalpable’?

Question 7.
Answer the following questions within 70-80 words each. (3 X 3 = 9)

(i) Describe briefly the efforts made by the doctor to revive the child in the story ‘Birth’.
OR
Were the teachers interested in understanding Albert and bringing out his potential?

(ii) What is the main idea of the play ‘Mother’s Day’? Has it been brought out effectively by the writer?

(iii) What idea do you form of Taplow after reading the play ‘The Browning Version’?

Students can access the CBSE Sample Papers for Class 11 English Education with Solutions and marking scheme Term 2 Set 2 will help students in understanding the difficulty level of the exam.

CBSE Sample Papers for Class 11 English Term 2 Set 2 with Solutions

Time : 2 Hours
Maximum Marks : 40

General Instructions :

• The Question Paper contains THREE sections-READING, WRITING & GRAMMAR and LITERATURE.
• Attempt questions based on specific instructions for each part.

Section A
Reading (13 Marks)

Question 1.
Read the passage given below:

We are what we eat. The type of food we eat has both immediate and long-term effect on us, at all the three levels – the body, the mind and the spirit. Food which is tamasik (i.e. stale or leftover) in nature is bound to generate stress as it tends to upset the normal functioning of the human body. Fresheners should be avoided.

Taking piping hot tea/milk or steaming hot food, whenever available, must be preferred. Excessive use of condiments also disturbs one’s usually calm attitude. Further, it is a mistaken belief that smoking or drinking, even in moderation, relieves stress. Simple meals with one or two food items, rather than too many lavish dishes, are advisable.

Also, vegetarian diet is preferable. Although it is customary to serve fruits with food items, it is not the right thing to do. This is because different kinds of digestive secretions are produced by the stomach for variant food items. Mixing up too many varieties of food items in one meal creates problems for the digestive system. In fact, any one type of fruit, preferably taken in the morning, is better.

On an average, we eat almost three to four times the quantity of food than we actually need. A lot of body’s energy is used up for digesting the excess food. It is said that after a particular level of food intake, the ‘food actually eats one up’.

It is always good to eat a little less than your ‘full-stomach’ capacity. Besides, never eat food unless you are really hungry. To have dinner at 8 or 9 pm after a heavy snack around 5 or 6 pm in the evening is asking for trouble. In fact, skipping a meal is always good if the stomach is upset. There are varying views on the benefits of fasting, but we will not discuss them here. However, giving a break to one’s stomach, at least once a week, by having only fruit or milk, etc. may be worth a try.

While a little bit of water taken with meals is all right, drinking 30 to 60 ml of water with food is not advisable. Water, taken an hour or so before or after meals, is good for digestion. One’s diet must be balanced with all the required nutrients for a healthy living.

Also remember, excess of everything is bad. Related to the problem of stress, excessive intake of salt is definitely out. Too much of sugar, fried food and chillies are not good either. Over-indulgence and excessive craving for a particular taste/type of food generate rajasic (aggressive) or at worst, tamasik (dull) tendencies.

An even more important aspect of the relationship between food and stress lies not so much in what or how much we eat but how the food is taken. For example, food eaten in great hurry or in a state of anger or any other negative state of mind is bound to induce stress. How the food is served is also very important.

Not only the presentation, cutlery, crockery etc. play a role, the love and affection with which the food is served is also significant. Finding faults with food while it is being eaten is a bad habit. It is better not to eat the food you do not like, rather than finding faults with it.

It is good to have regular food habits. Workaholics who do not find time to eat food at proper meal time invite stomach ulcers. One must try to enjoy one’s food, and therefore, eating at the so-called lunch/ dinner meetings is highly inadvisable.

Every morsel of food should be enjoyed with a totally peaceful state of mind. Food and discussions should not be mixed. There are accepted ways to ‘charge’ the food we eat. Prayer is perhaps ‘the best method for energizing the food and it does definite additional good at no extra cost.

Based on your understanding of the passage, answer ANY EIGHT questions from the nine given below. (1 x 8 = 8)

(i) Give one point of evidence from the text that encourages us to avoid tamasik food.
Answer:
Tamasik food influences a person by generating stress. So, it should be avoided.

(ii) State any one misconception that people generally practice at the table.
Answer:
Generally, people believe that condiments help to enhance appetite.

(iii) Which disease is common in workaholics?
Answer:
Stomach ulcers are very common among alcoholics due to their irregular food habits.

(iv) How is prayer helpful for a person’s health?
Answer:
Prayer energises the food we eat. So, it is helpful in our digestion.

(v) Rewrite the following sentence replacing the underlined words with a word or phrase from lines 5 to 10 in the passage.

We should avoid spending in extremes and save for our future.
Answer:
We should spend in moderation and save for our future.

(vi) Why has the writer used the word ‘charge’ in relation to the food we eat?
Answer:
Good food provides energy and makes a person feel full of vigour. In this way, it charges us.

(vii) Use a suitable phrase from lines 25-30 from the passage to complete this sentence.

Children should be _______________ from their studies to rejuvenate themselves.
Answer:
Children should be given a break from their studies to rejuvenate themselves.

(viii) The writer says that the “food actually eats one up”. What is tire meaning of this phrase?
Answer:
Excessive intake of food takes a lot of body’s energy to digest it. So, the proportion of energy provided by the food is far less than the proportion of energy required to digest it. So, it eats one up.

(ix) How are rajasik tendencies generated?
Answer:
Rajasik tendencies are generated due to over-indulgence and excessive craving for a particular taste.

Question 2.
Read the following passage. (5)

(1) Pangolins are adorable, shy and stooped creatures. When threatened, this pre-historic mammal curls up into a ball, presenting a hide covered in overlapping scales so tough, they can withstand a tiger attack or blows from an axe. Around 3,500 pangolins are boiled alive in India every year, and about 10,000 worldwide according to the data from the UK-based NGO Environmental Investigation Agency.

(2) Its scales fetch up to ₹ 15,000 per kg in the market. They are used as a ‘tonic’ in traditional Chinese medicine. It is the most poached mammal in India and the world. Yet, there is little data on its decline as it is largely ignored.

(3) Similarly, other animals like the Slender Loris and the Red Line Torpedo Barb are also trapped and sold by the thousands as exotic pets. The Dugong or Sea Cow is hunted for its flesh, and the first owlet is sought after for its supposedly magical properties.

The Sea Cucumber, which is hunted as a delicacy and an ingredient in traditional Chinese and South-East Asian medicine, has been wiped out in many parts of the western coast. The Sea Horse, traded in thousands as aquarium pets, dried curios and ‘cure’ for asthma, faces the same fate on the eastern coast.

(4) In spite of this, the large and powerful animals like the tiger, elephant, koala and whale are given more attention and budgetary allotment. “With the bulk of endangered species, the conservation efforts end at moving them from one list to another as their numbers drop and they become more and more endangered.

This is just a cosmetic change since it does not reflect any changes of real significance on the ground,” says Shikhar Niraj, head of TRAFFIC India, a joint programme of World Wide Fund for Nature and the World Conservation Union. Since ‘celebrity’ animals like the tiger or the elephant are international symbols of Indian Wildlife, they tend to hog public attention. This is bad news.

(5) As marine ecologist Deepak Apte puts it, “We may concern ourselves with the flagship species, but it is the minutiae that actually balances the ecosystem. Be it the Scavenger species, the Sea Cucumber or the Insectivorous Loris, it is these species that keep the ecosystem healthy and clean.”

(A) On the basis of your reading the passage, make notes using recognisable abbreviations wherever necessary. Use a format you consider suitable, supply a suitable title. (3)
Answer:
Endangered Animals

1. Animals often poached:
1.1. Pangolin
1.2. Slender Loris
1.3. Red Line Torpedo Barb
1.4. Sea-Cucumber
1.5. Dugong

2. Pangolin
2.1. shy stooped creature
2.2. ambles close to ground
2.3. beady eyes
2.4. looks furtively
2.5. hide covered with overlapping scales

3. Reasons for poaching:
3.1. Pangolin
3.1.1. used as a tonic in chinse medcn
3.2. Loris & Red Line Torpedo Barb
3.2.1. sold as pets
3.3. Dugong or Sea Cow
3.3.1. hunted for flesh
3.4. Sea Cucumber
3.4.1. eaten as a delicacy
3.4.2. ingr. in chinse. medcn.
3.5. Sea Horse v
3.5.1. traded as aquarium pet
3.5.2. cure for asthma

4. Need for consrvtn:
4.1. balance the ecosystem
4.2. keep the ecosystem healthy and clean.

Key to Abbreviations
S.No.	Abbreviation	Word
1.	chinse	Chinese
2.	medcn	medicine
3.	consrvtn	conservation
4.	&	and
5.	ingr.	ingredient

(B) Make a short summary of the passage in about 50 words. (2)
Answer:

Summary

Animals like Pangolin, Slender Loris, Red Line Torpedo Barb, Sea- Cucumbers, Dugong, Sea Horse etc. are endangered but ignored. More budget is allotted to conserving large and powerful animals like tigers and elephants. But there is need to conserve these endangered animals as they balance the ecosystem and keep it healthy and clean.

Section B
Writing and Grammar (12 Marks)

Question 3.
Prepare a poster on behalf of an NGO to be placed in various parts of the city urging the people to save trees. (3)
Answer:

Commonly Made Error

• Students tend to add unnecessary details to meet the word limit.

Answering Tip

• Relevant details should be added. It should be such that the poster conveys the idea clearly.

Question 4.
Attempt ANY ONE from (A) and (B) given below.

(A) The canteen of your school is supplying oily and sweet food. Write a letter to the Principal of your school requesting her to improve the quality of the food sold by the canteen. (5)
Answer:

Note: No marks are to be awarded if only the format is given. Credit should be given for the candidate’s creativity in presentation of ideas. Format – 01 Mark Sender’s address Date Receiver’s address Subject/heading Salutations Content – 03 Marks Expression – 02 Marks Letter to The Chairman, Municipal Corporation – Discussion of problem – Suggestion of solution

The Principal,
Victoria Public School,
Kanpur.
28th March, 20XX

Subject: Improvement in the school canteen.

Sir-
Through this letter of mine, I wish to draw your attention towards the unhygienic conditions of the school canteen. Our school canteen is providing oily food to the students. All of us know that oily food is not good for our health. It makes us obese and lethargic. The sedentary lifestyle of today’s students is also making them disease-prone. The quality of food supplied by our canteen is low. The food items lack in vitamins and purity.

I request you to make arrangements for the supply of nutritious food at the canteen. The items supplied should be such that it helps to improve the health of the students. No fast food should be sold by the canteen as it is quite unhygienic in nature.

Thanking You
Yours truly,
Ria Dutta
XI-B

(B) You are Kamakshi/Kuber. You have been selected to represent your school in an All India School Debate Competition organised by the Rotary Club, Bengaluru (South). The topic for the debate is: ‘In the opinion of this house, value-based education is the only remedy for decreasing crime rate amongst the educated folk.’ Write the debate in 120-150 words for or against the motion, giving arguments for your stand. (5)
Answer:

Value-Based Education Today

I, Ruber of class XI, have got the golden opportunity to express my views for the motion on the topic, value-based education is the only remedy for decreasing the crime rate. Mr. Chairman, Respected Judges and Dear Friends! There can’t be two opinions on the fact that ‘value-based education is the only remedy for decreasing crime rate among the educated folk.’

Even though education has been made compulsory up to the secondary level in India, value-based education to all still remains a distant dream. Education has been practically reduced to the job of providing degrees. These degrees do help them in getting jobs in the market. However, our education system doesn’t help young men and ladies to build up their characters and morals. The result is disastrous.

Our schools, colleges and universities are producing a huge army of irresponsible and uncivilised young brutes. Crime among the educated young people have been rising at an alarming rate. Robberies, chain-snatching, eve-teasing and thefts haven’t remained the monopoly of professional uneducated criminals anymore.

Many educated young people have joined their ranks. Therefore, the need of the hour is an education system that is based on moral values. Moral education should be made a compulsory subject in all schools. Nationalism, patriotism, devotion and dedication to our country and its people, should be the guiding principles of our education system.

Only a comprehensive and value-based education can help in the character building, moral and spiritual upliftment of the educated folk. It will certainly bring down the crime rate in them.

Thank you

Commonly Wade Error

• Students generally miss out the main theme and deviate from it.

Answer Tip

• The main theme and idea should be kept in mind while writing a debate.

Question 5.
A. Complete the following sentences using suitable words. (1 x 4 = 4)

(i) I wrote it on piece of paper.
Answer:
Explanation: A single piece of paper is mentioned here.

(ii) It (rain) for two days now. (Fill in the blank using the present perfect continuous tense.)
Answer:
It has been raining for two days now.

Explanation: The present perfect continuous tense uses ‘have’ or ‘has’ followed by ‘been and the present participle form of the verb.

(iii) If there are words you don’t understand, use a dictionary.
Answer:
any
Explanation: Which determiner is used for unknown and indefinite nouns?

B. Rearrange the given set of words to form a meaningful sentence.
boy/each/was punished/of the class/yesterday
Answer:
Each boy of the class was punished yesterday.
Explanation: Construct the sentence using the subject, verb, adverb formation.

Section C
Literature (15 Marks)

Question 6.
Answer the following questions within 30-40 words each. (2 X 3 = 6)

(i) What suggestions of Frank shocked Taplow? Why?
Answer:
Frank had suggested that Taplow could cut Crocker-Harris because the latter was already ten minutes late. This suggestion shocked Taplow because he could not even think of doing such a thing.

(ii) ‘The Voice of the Rain’ contains a dialogue between the poet and the rain itself. Give a summary of the dialogue.
Answer:
The poet inquires who the rain is. The rain replies, “I am the poem of Earth. I rise out of the Land and the bottomless sea like something untouched. I rise upwards to the sky where I change my form. Then I fall down on the earth and bathe the droughts, atoms and dust. I give life to things”.

(iii) What is the significance of Green Movement in the modern world?
Answer:
The Green Movement has brought a great awareness among people. It has taught us that we are just partners on the earth sharing this planet with other living organisms. Having learnt this, human beings worldwide have reduced the large amount of destruction being caused on Earth.

Question 7.
Answer the following questions within 70-80 words each. (3 x 3 = 9)

(i) What was Andrew’s view of marriage? Why was he resentful and confused?
OR
Mention three things in the behavior of the mother that astonishes Doris.
Answer:
As Andrew sat dozing by the kitchen fire his thoughts wandered over the subject of marriage. He thought of Bramwell who was foolishly devoted to a woman who deceived him meanly. Then he thought of Edward Page who was married to the ill-natured Blodwen and was now living unhappily, apart from his wife. This led him to the conclusion that all marriages are dismal failures. Then he thought of his girlfriend, Christine, and wished to consider marriage as a pleasant state.
OR
Doris is astonished because mother, has not got tea ready for her as usual. Secondly, her mother who has always been a docile housewife can be seen smoking smugly. Thirdly, she clearly declares that she is not in mood to iron her silk that she intends to wear that evening.

(ii) Comment on the role of Yuri in Albert Einstein’s life.
Answer:
Yuri is the central figure in the story. He was the only friend whom Einstein could rely upon in Munich. When he felt too miserable in school, he told his woes to him. One day he confided to him that if he could procure a medical certificate from a friendly doctor that he was suffering from a nervous breakdown. Yuri ultimately enabled him to have the desired certificate that too without any charge. He advised and helped him from time to time.

(iii) Describe the difficulties and disillusionment faced by Nick Middleton during his journey to Mount Kailash.
Answer:
Nick Middleton, the narrator had to journey through the difficult terrain to reach Mount Kailash. The path was totally snow-covered, the snow was so steep that they could not go around it. They somehow went over it. The danger was that they could slip. They flung handfuls of dirt and covered the snow completely with soil.

The narrator and Daniel got off the vehicle to lighten the load while Tsetan drove the vehicle over the snow. Due to low atmospheric pressure, the author got a headache. The fuel of vehicles also expanded due to the low pressure, which would prove perilous for them.

In Darchen, the narrator also suffered from blocked sinuses that resulted in extreme cold and breathing problems. The town Hor was shabby, dirty and very depressing. Overall, the journey of the author was adventurous.

Students can access the CBSE Sample Papers for Class 11 Maths with Solutions and marking scheme Term 2 Set 5 will help students in understanding the difficulty level of the exam.

CBSE Sample Papers for Class 11 Maths Term 2 Set 5 for Practice

Time: 2 Hours
Maximum Marks:40

General Instructions:

• This question paper contains three sections A, B and C. Each part is compulsory.
• Section -A has 6 short answer type (SA1) questions of 2 marks each.
• Section -B has 4 short answer type (SA2) questions of 3 marks each.
• Section -C has 4 long answer type questions (LA) of 4 marls each.
• There is an internal choice in some of the questions.
• Q14 is a case-based problem having 2 sub parts of 2 marks each.

Section – A

Question 1.
Prove that:
tan 13x = tan 4x + tan 9x + tan 4x ∙ tan 9x ∙ tan 13x (2)

Question 2.
In how many of distinct permutations of the letters in MISSISSIPPI do the four I’s not come together ? (2)
OR
In how many ways can the letters of the word PERMUTATIONS be arranged if the:
(i) Words start with P and end with S,
(ii) Vowels are all together

Question 3.
5(2x – 7) – 3(2x + 3) ≤ 0, 2x + 19 ≤ 6x + 47. (2)

Question 4.
Find the centre and radius of the circle whose equation is
3x² + 3y² + 6x – 4y -1 = 0 (2)

Question 5.
Find the derivatives of x^-3(5 + 3x)
OR
Find the derivatives of x⁵(3 – 6x^-9) (2)

Question 6.
Consider the experiment of rolling a die. Let A be the event ‘getting a prime number’ and B be the event ‘getting an odd number’. Write the sets representing the events.
(i) A and B,
(ii) A or B

Section – B

Question 7.
Find the equation of a circle of radius 5 which is touching another circle x² + y² – 2x – 4y – 20 = 0 at (5, 5).
OR
Find the equation of the set of all points wherein the sum of whose distances from the points (3, 0), (9, 0) is 12. (3)

Question 8.
Find the solution for given inequalities 2x + y ≥ 6, 3x + 4y ≤ 12. (3)

Question 9.
Proved that:
\(\frac{(\sin 7 x+\sin 5 x)+(\sin 9 x+\sin 3 x)}{(\cos 7 x+\cos 5 x)+(\cos 9 x+\cos 3 x)}\) = tan 6x

Question 10.
Prove that:
cos \(\left(\frac{3 \pi}{4}+x\right)\) – cos \(\left(\frac{3 \pi}{4}-x\right)\) = – √2 sin x (3)

Section – C

Question 11.
If a convex polygon has 44 diagonals, then find the number of its sides.
OR
A committee of 6 is to be chosen from 10 men and 7 women, so as to contain at least 3 men and 2 women. In how many different ways can this be done, if two particular women refuse to serve on the same committee? (4)

Question 12.
The cable of a uniformly loaded suspension bridge hangs in the form of a parabola. The Roadway which is horizontal and 100 m long is supported by vertical wires attached to the Cable, the longest wire being 30 m and the shortest being 6 m. Find the length of a supporting wire attached to the roadway 18 m from the middle. (4)

Question 13.
Find the derivative of the \(\frac{\sec x-1}{\sec x+1}\) function. (4)

Case-Based/Data Based

Question 14.
Two customer Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day.

Based on the given information, answer the following questions
(i) What are the total number of favourable outcomes and what is the probability that both will visit the shop on same day ? (2)
(ii) What are the total number of favourable outcomes if both will
visit the shop on consecutive days and what is the probability that both will visit the shop on different days ? (2)

Solved CBSE Sample Paper Class 11 Political Science 2021-2022 with Solutions Term 1 & Term 2: Solving Pre Board CBSE Sample Papers for Class 11 Political Science with Solutions Answers 2021-2022 Pdf Download to understand the pattern of questions ask in the board exam. Know about the important concepts to be prepared for CBSE Class 11 Political Science board exam and Score More marks. Here we have given CBSE Class 11 Political Science Sample Papers 2022 Term 1 & Term 2.

CBSE Sample Paper Class 11 Political Science 2022 with Solutions Term 1 & Term 2

According to new CBSE Exam Pattern, MCQ Questions for Class 11 Political Science Carries 20 Marks. Click on the link below to access the CBSE Class 11 Political Science Sample Papers 2022 Solved Term 1 & Term 2.

CBSE Sample Paper 2022 Class 11 Political Science with Solutions Term 2

• CBSE Sample Papers for Class 11 Political Science Term 2 Set 1
• CBSE Sample Papers for Class 11 Political Science Term 2 Set 2
• CBSE Sample Papers for Class 11 Political Science Term 2 Set 3 for Practice
• CBSE Sample Papers for Class 11 Political Science Term 2 Set 4 for Practice
• CBSE Sample Papers for Class 11 Political Science Term 2 Set 5 for Practice

CBSE Class 11 Political Science Sample Question Paper Design 2022

Divisions	Typology of Questions	No. of Questions	Marks	Total Marks
Section – A	Short Answer Type Questions	8	2	2 × 8 = 16
Section – B	Source/Graph-based	4	3	3 × 4 = 12
Section – C	Short Answer Type Questions	6	2	2 × 6 = 12
Total		13 Questions		40 Marks

We hope these CBSE Sample Papers for Class 11 Political Science with Solutions 2021-2022 Term 1 & Term 2 will help in self-evaluation. Stay tuned for further updates on CBSE Sample Paper of Political Science Class 11 2022 Term 1 & Term 2 for their exam preparation.

Solved CBSE Sample Paper Class 11 History 2021-2022 with Solutions Term 1 & Term 2: Solving Pre Board CBSE Sample Papers for Class 11 History with Solutions Answers 2021-2022 Pdf Download to understand the pattern of questions ask in the board exam. Know about the important concepts to be prepared for CBSE Class 11 History board exam and Score More marks. Here we have given CBSE Class 11 History Sample Papers 2022 Term 1 & Term 2.

CBSE Sample Paper Class 11 History 2022 with Solutions Term 1 & Term 2

According to new CBSE Exam Pattern, MCQ Questions for Class 11 History Carries 20 Marks. Click on the link below to access the CBSE Class 11 History Sample Papers 2022 Solved Term 1 & Term 2.

CBSE Sample Paper 2022 Class 11 History with Solutions Term 2

• CBSE Sample Papers for Class 11 History Term 2 Set 1
• CBSE Sample Papers for Class 11 History Term 2 Set 2
• CBSE Sample Papers for Class 11 History Term 2 Set 3 for Practice
• CBSE Sample Papers for Class 11 History Term 2 Set 4 for Practice
• CBSE Sample Papers for Class 11 History Term 2 Set 5 for Practice

CBSE Class 11 History Sample Question Paper Design 2022

Division	Typology of Questions	No. of Questions	Marks	Total Marks
Section – A	Short Answer Type Questions	Q1 – Q4	3	3 × 4 = 12
Section – B	Long Answer Type Questions	Q5 – Q7	6	6 × 3 = 18
Section – C	Case-based Questions	Q8 – Q9	4	4 × 2 = 8
Section – D	Map Question	Q10	2	2 × 1 = 2
Total		10 Questions		40 Marks

We hope these CBSE Sample Papers for Class 11 History with Solutions 2021-2022 Term 1 & Term 2 will help in self-evaluation. Stay tuned for further updates on CBSE Sample Paper of History Class 11 2022 Term 1 & Term 2 for their exam preparation.

Students can access the CBSE Sample Papers for Class 11 Maths with Solutions and marking scheme Term 2 Set 2 will help students in understanding the difficulty level of the exam.

CBSE Sample Papers for Class 11 Maths Term 2 Set 2 with Solutions

Time: 2 Hours
Maximum Marks: 40

General Instructions:

• This question paper contains three sections A, B and C. Each part is compulsory.
• Section -A has 6 short answer type (SA1) questions of 2 marks each.
• Section -B has 4 short answer type (SA2) questions of 3 marks each.
• Section -C has 4 long answer type questions (LA) of 4 marls each.
• There is an internal choice in some of the questions.
• Q14 is a case-based problem having 2 sub parts of 2 marks each.

Section – A

Question 1.
A wheel makes 360 revolutions in 1 min. Through how many radians does it turn in 1 second.
OR
Find the degree measure of the angle subtended at the centre of circle of radius 100 cm by an arc of 22 length 22 cm. (Use π = \(\frac{22}{7}\))
Answer:
No. of revolution in one minute = 360
∴ No. of revolutions m one second = \(\frac{360}{2}\)
= 6

∴ 6 revolutions = 6 × 2π = 12π radians
Hence, no. of radians turned in one second = 12π
OR
Given, l = length of arc = 22 cm
r = radius of circle = 100 cm
Let θ be the angle subtended at the centre, then

Question 2.
If parabola y² = px passes through point (2, -3), find the length of latus rectum. (2)
Answer:
Given equation of parabola is y² = px …(i)
Since (i) passes through (2, -3).
∴ (-3)² = p.2
⇒ p = \(\frac{9}{2}\)
∴ y² = \(\frac{9}{2}\)x
⇒ y² = 4. \(\frac{9}{8}\)x
Comparing above by y² = 4ax
a = \(\frac{9}{8}\)
∴Length of latus rectum = 4a = \(\frac{9}{2}\) units

Commonly Made Error:
Students make mistakes while comparing the given equation with the general form of parabola.

Answering Tip:
Learn the equations of parabola and the terms released it. Understand the equation and its properties with the help of its diagram.

Question 3.
How many 5 digit telephone numbers can be constructed using the digits 0 to 9, if each number starts with 67 and no digit appears more than once?
OR
Determine the number of 5 card combining out of deck of 52 cards if each selection of 5 cards has exactly one king. (2)
Answer:
Number of ways to fill the III place = 8
Number of ways to fill the IV place = 7

Number of ways to fill the V place = 6
Hence, total number of ways = 8 × 7 × 6 = 56 × 6 = 336
OR
1 king out of 4 kings can be selected in ⁴C₁ ways
Remaining 4 cards out of remaining 48 cards can be selected in ⁴C₄ ways.
Hence, total number of ways
= ⁴C₁ × ⁴⁸C₄ = 4 × ⁴⁸C₄

Question 4.
Given P(A) = \(\frac{3}{5}\) and P(B) = \(\frac{1}{5}\). Find P(A ∪ B) if A and B are mutually exclusive events. (2)
Answer:
P(A) = \(\frac{3}{5}\), P(B) = \(\frac{1}{5}\)
A and B are mutually exclusive events
∴ P(A ∩ B) = 0
Now P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
= \(\frac{3}{5}+\frac{1}{5}\) – 0
P(A ∪ B) = \(\frac{4}{5}\) = 0.8

Question 5.
Solve the inequality: -3 ≤ 4 – \(\frac{7x}{2}\) ≤ 18 (2)
Answer:
The given inequality -3 ≤ 4 – \(\frac{7x}{2}\) ≤ 18 Adding (-4) to each term,
-3 – 4 ≤ 4 – \(\frac{7x}{2}\) – 4 ≤ 18 – 4
-7 ≤ – \(\frac{7x}{2}\) ≤ 14

Multiplying by (\(\frac{-2}{7}\)) to each term

⇒ 2 ≥ x ≥ -4
⇒ 4 ≤ x ≤ 2
∴ Solution set = [-4, 2]

Question 6.
Find the derivatives of 2x – \(\frac{3}{4}\) (2)
Answer:
Let f(x) = 2x – \(\frac{3}{4}\)
∴ f'(x) = \(\frac{d}{d x}\)(2x – \(\frac{3}{4}\))
= 2\(\frac{d}{d x}\)x – \(\frac{d}{d x}\)(\(\frac{3}{4}\))
= 2 × 1 – 0
= 2

Section – B

Question 7.
Find the centre and radius of the circle 2x² + 2y² – x = 0. (3)
Answer:
Given equation of the circle is
2x² + 2y² – x = 0

Question 8.
Prove that: \(\frac{\cos 4 x \sin 3 x-\cos 2 x \sin x}{\sin 4 x \cdot \sin x+\cos 6 x \cdot \cos x}\) = tan 2x (3)
OR
Prove that:
tan α. tan (60° – α) . tan (60° + a) = tan 3α (3)
Answer:

Commonly Made Error:
Many students get confused among the formula of trigonometry. They must learn all the formulae properly and practise the derivation of the formula to avoid mistake.

Answering Tip:
Simplification of trigonometric equations needs sufficient practice. Give ample practice such type of questions.

OR

L.H.S = tan α. tan (60° – α). tan (60° + a)

Question 9.
From a class of 40 students, in how many ways can five students be chosen for an excursion party. (3)
Answer:
From a dass of 40 students, five students can be chosen for an excursion party in ⁴C₅ ways

= 658,008

Question 10.
Find the value of the expression
3[sin⁴(\(\frac{3 \pi}{2}\) – α) + sin⁴(3π + α)] – 2[sin⁶(\(\frac{\pi}{2}\) + α) + sin⁶(5π – α)]
Answer:
Given 3[sin⁴(\(\frac{3 \pi}{2}\) – α) + sin⁴(3π + α)] – 2[sin⁶(\(\frac{\pi}{2}\) + α) + sin⁶(5π – α)]

= 3[cos⁴α + sin⁴(π + α)] – 2[cos⁶ α + sin⁶(π – α)]
= 3(cos⁶α + sin⁶α] – 2[cos⁶ α + sin⁶α]
= 3(cos⁴α + sin⁴ α + 2sin²α cos²α – 2sin²α cos²α] – 2(cos²α + sin²α)³ – 3cos²α sin²α(cos²α + sin²α)]
= 3[(cos²α + sin²α)² – 2sin²αcos²α] -2[1 – 3cos²αsin²α]
= 3(1 – 2sin²αcos²α – 2 + 6cos²αsin²α]
= 3 – 6sin²αcos²α – 2 + 6sin²αcos²α
= 1

Section – C

Question 11.
Using first principle find the derivative of x cos x function: (4)
Answer:
Let f(x) = x cos x
∴ f(x + h) = (x + h)cos(x + h)

Question 12.
A solution of 9% acid is to be diluted by adding 3% acid solution to it. The resulting mixture is to be more than 5% but less than 7% acid. If there is 460 L of the 9% solution, how many litres of 3% solution will have to be added?
OR
A solution is to be kept between 40°C and 45°C. What is the range of temperature in degree Fahrenheit, if the conversion formula is F = \(\frac{9}{5}\)C +32? (4)
Answer:
Let x L of 3% solution be added to 460 L of 9% solution of acid.
Then, total quantity of mixture = (460 + x) L
Total add content in the (460 + x) L of mixture
= (460 × \(\frac{9}{100}\) + x × \(\frac{3}{100}\))L
It is given that add content in the resulting mixture must be more them 5% but less than 7%.
Therefore,

⇒ 2300 + 5x < 4140 + 3x < 3220 + 7x
Taking first two inequalities,
2300 + 5x < 4140 + 3x
⇒ 5x – 3x < 4140 – 2300
⇒ 2x < 1840
⇒ x < \(\frac{1840}{2}\)
⇒ x < 920 …(i)
Taking last two inequalities,
4140 + 3x < 3220 + 7x
⇒ 3x – 7x < 3220 – 4140
⇒ -4x < -920 ⇒ 4x > 920
⇒ x > \(\frac{920}{4}\)
⇒ x > 230 …(ii)
Hence, the number of litres of the 3% solution of add must be more than 230 L and less than 920 L.

OR

Let the required temperature be x° F.
Given that, F = \(\frac{9}{5}\)C + 32
⇒ 5F = 9C + 32 × 5
⇒ 9C = 5F – 32 × 5
∴ C = \(\frac{5 F-160}{9}\)
Since, temperature in degree Celsius lies between 40°C to 45°C.
Therefore, 40 < \(\frac{5 F-160}{9}\) < 45
40 < \(\frac{5 F-160}{9}\) < 45
⇒ 40 × 9< 5x – 160 < 45 × 9 [multiplying throughout by 9]
⇒ 360 < 5x – 160 < 405 [adding 160 throughout]
⇒ 360 + 160 <5x< 405+160
⇒ 520 < 5x < 565 1
⇒ \(\frac{520}{5}\) < x < \(\frac{565}{5}\) [divide throughout by 5]
⇒ 104 < x < 113
Hence, the range of temperature in degree Fahrenheit is between 104 °F to 113°F.

Question 13.
If A and B be the points (3,4,5) and (-1,3, -7), respectively, find the equation of the set of points P such that PA² + PB² = k², where k is constant. (4)
Answer:
The coordinates of points A and B are given as (3, 4, 5) and (-1, 3, -7) respectively. Let the co-ordinates of point P be (x, y, z).
On using distance formula, we obtain
PA² = (x – 3)² + (y – 4)² + (z – 5)²
= x² + 9 – 6x + y² + 16 – 8y + z² + 25 – 10z
= x² + y² + z² – 6x – 8y – 10z + 50

PB² = (x + 1)² + (y – 3)² + (z + 7)²
= x² + 1 + 2x + y² + 9 – 6y + z² + 49 + 14z
= x² + y² + z² + 2x – 6y + 14z + 59

Now, if PA² + PB² = k², then
(x² + y² + z² – 6x – 8y – 10z + 50) + (x² + y² + z² + 2x – 6y + 14z + 59)
⇒ 2x² + 2y² + 2z² – 4x – 14y + 4z + 109 = k²
⇒ 2(x² + y² + z² – 2x – 7y + 2z) + 109 = k²
⇒ 2(x² + y² + z² – 2x – 7y + 2z) = k² -109
⇒ x² + y² + z² – 2x – 7y + 2z = \(\frac{k^{2}-109}{2}\)
Thus, the required equation is
x² + y² + z² – 2x – 7y + 2z = \(\frac{k^{2}-109}{2}\)

Case-Based/Data Based

Question 14.
A child’s game has 8 triangles of which 3 are blue and rest are red, and 10 squares of which 6 are blue and rest are red. One piece is lost at random.

(i) Find the probability that lost piece is triangle. (2)
Answer:
Since, total no. of triangles = 8
Triangles with blue colour = 3
Triangles with red colour = 8 – 3 = 5 and
total no. of squares = 10
Squares with blue colour = 6
Squares with red colour = 10 – 6
= 4

Number of favourable outcomes for the event that lost figure is triangle,
i.e., F (E) = 8
Total figures (square and triangle)
= 8 + 10 = 18
i.e., T(E) = 18

Probability (getting a triangle),
P(E) = \(\frac{F(E)}{T(E)}\)
= \(\frac{8}{18}=\frac{4}{9}\)

(ii) Find the probabilities that lost piece is square of blue colour & triangle of red colour. (2)
Answer:
Number of favourable outcomes for the events that lost figure is square of blue colour, i.e., F(E) – 6 and T(E) = 18
∴ P(getting a blue square),
P(E) = \(\frac{F(E)}{T(E)}\)
= \(\frac{6}{18}=\frac{1}{3}\)
Number erf favourable outcomes for the event that lost figure is triangle of red colour = 5,
i.e., F(E) = 5 and
T(E) = 18

∴ P(lost figure is red triangle),
P(E) = \(\frac{5}{18}\)

Students can access the CBSE Sample Papers for Class 11 Maths with Solutions and marking scheme Term 2 Set 4 will help students in understanding the difficulty level of the exam.

CBSE Sample Papers for Class 11 Maths Term 2 Set 4 for Practice

Time: 2 Hours
Maximum Marks: 40

General Instructions:

• This question paper contains three sections A, B and C. Each part is compulsory.
• Section -A has 6 short answer type (SA1) questions of 2 marks each.
• Section -B has 4 short answer type (SA2) questions of 3 marks each.
• Section -C has 4 long answer type questions (LA) of 4 marls each.
• There is an internal choice in some of the questions.
• Q14 is a case-based problem having 2 sub parts of 2 marks each.

Section – A

Question 1.
Find the degree measure corresponding to the following radian measure use (π = \(\frac{22}{7}\)):
\(\left(\frac{11}{16}\right)\) (2)

Question 2.
Solve the following inequality:
-15 < \(\frac{3(x-2)}{5}\) ≤ 0 (2)

Question 3.
In how many ways can select a cricket team of eleven from 17 players in which only 5 players can bowl if each cricket team of 11 must include exactly 4 bowlers?
OR
In how many ways can a student choose a program of 5 courses, if 9 courses are available and 2 specific courses are compulsory for every student? (2)

Question 4.
Show that:
(0, 7, -10), (1, 6, -6) and (4, 9, -6) are the vertices of an isosceles triangle. (2)

Question 5.
Find the derivative of the (x² + 1) cos x function :
OR
If y = \(\frac{1+\frac{1}{x^{2}}}{1-\frac{1}{x^{2}}}\), then find \(\frac{d y}{d x}\) (2)

Question 6.
Six new employees, two of whom are married to each other, are to be assigned six desks that are lined up in a row. If the assignment of employees to desks is made randomly, what is the probability that the married couple will have non-adjacent desks ? (2)

Section – B

Question 7.
Find the equation for the ellipse that satisfies the given conditions:
Major axis on the X-axis and passes through the points (4, 3) and (6, 2). (3)
OR
Find the equation for the ellipse that satisfies the given conditions: Centre at (0, 0), major axis on the Y-axis and passes through the points (3,2) and (1, 6). (3)

Question 8.
In a certain city, all telephone numbers have six digits, the first two digits always being 41 or 42 or 46 or 62 or 64. How many telephone numbers have all six digits distinct? (3)

Question 9.
Prove that:
(cos x +cos y)² +(sin x – sin y)² = 4 cos² \(\frac{x+y}{2}\) (3)

Question 10.
Show that the following system of linear inequalities has no solution:
x + 2y ≤ 3, 3x + 4y ≥ 12, x ≥ 0, y ≥ 1. (3)

Section – C

Question 11.
A man running a racecourse notes that the sum of the distances from the two flag posts from him is always 10 m and the distance between the flag posts is 8 m. find the equation of the posts traced by the man. (4)

Question 12.
Find the derivative of the (ax + b)ⁿ (cx + d)^m function (here, a, b ,c, d, m and n are fixed non-zero constants): (4)

Question 13.
Find the area of the triangle formed by the lines joining the vertex of the parabola x² = 12y to the ends of its latus rectum.

Case-Based/Data Based

Question 14.
Reena and Ajay are playing Ludo. Reena throws the die first. (4)
Find the probability of following events :

(i) A prime number will appear and A number greater than or equal to 3 will appear.
(ii) A number less than or equal to one will appear and a number more than 6 will appear.

Students can access the CBSE Sample Papers for Class 11 Maths with Solutions and marking scheme Term 2 Set 3 will help students in understanding the difficulty level of the exam.

CBSE Sample Papers for Class 11 Maths Term 2 Set 3 for Practice

Time: 2 Hours
Maximum Marks:40

General Instructions:

• This question paper contains three sections A, B and C. Each part is compulsory.
• Section -A has 6 short answer type (SA1) questions of 2 marks each.
• Section -B has 4 short answer type (SA2) questions of 3 marks each.
• Section -C has 4 long answer type questions (LA) of 4 marls each.
• There is an internal choice in some of the questions.
• Q14 is a case-based problem having 2 sub parts of 2 marks each.

Section – A

Question 1.
Write the radian measure of 5°37’30”. (2)

Question 2.
Solve \(\frac{1}{x-2}\) < 0, x ∈ R. (2)
OR
Solve, 0 < \(\frac{-x}{3}\) < 1, x ∈ R.

Question 3.
A polygon has 35 diagonals. Find the number of its sides. (2)

Question 4.
If the distance between the points (a, 2,1) and (1, -1, 1) is 5 units, then find the value(s) of a (2)

Question 5.
Find f'(x), if f(x) = (x – 2)² (2x – 3). (2)

Question 6.
4 cards are drawn from a well-shuffled deck of 52 cards. What is the probability of obtaining 3 diamonds and one spade ? (2)

Section – B

Question 7.
Show that, if x² + y² = 1, then the point (x, y, \(\sqrt{1-x^{2}-y^{2}}\)) is at a distance 1 unit from the origin.
OR
Show that the point A( 1, -1, 3), B(2, -4, 5) and C(5, -13, 11) are collinear. (3)

Question 8.
A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected, if the
team has (3)
(i) no girls.
(ii) at least one boy and one girl.
(iii) at least three girls.
OSWAAL CBSE Sample Question Papers Term-ll, MATHEMATICS, Class-XI

Question 9.
Prove that: \(\frac{\cos x}{1-\sin x}\) = tan \(\left(\frac{\pi}{4}+\frac{x}{2}\right)\)
OR
Prove that:
sinx + sin 2x + sin 4x + sin 5x = 4cos \(\frac{x}{2}\) cos \(\frac{3x}{2}\) sin 3x (3)

Question 10.
If tan A = \(\frac{a}{a+1}\) and tan B = \(\frac{1}{2 a+1}\), then find the value of A + B. (3)

Section – C

Question 11.
Solve the following inequality graphically in two-dimensional plane:
x + y < 5 (4)

Question 12.
Find the equation of the hyperbola whose conjugate axis is 5 and distance between the foci is 13.
OR
Find the equation of the hyperbola passing through the point (2, 3) and having foci (0, ± √10). (4)

Question 13.
Find the derivative of the \(\frac{x}{\sin ^{n} x}\) function where n is the non zero constant (4)

Case-Based/Data Based

Question 14.
In a game, the entry fee is ₹ 5. The game consists of a tossing a coin 3 times, If one or two heads show, Sweta gets her entry fee back. If she throws 3 heads, she receives double entry fees. Otherwise she will lose. For tossing a coin three times, find the following:

Based on above information, answer the following question.
(i) Find the Probability that she loses the entry fee.
(ii) Find the Probability that she just gets her entry fee and also find the Probability that she gets double entry fee.