sslc model paper karanataka-english,maths,social ,hindi 2012

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sslc model paper karanataka-english,maths,social ,hindi 2012

Posted by quintustheresraj on April 8, 2013 at 5:55 AM

P107

I. Four alternatives are given for each of the following questions / incomplete statements.

Only one of them is correct / most appropriate. Choose the most appropriate alternatives and

write it in the space provided along with the correct letter: [15 x 1 = 15]

1. The incident behind James Watt’s invention was:

a) falling apples b) thinking new thoughts

c) boiling kettles d) watching the stone rolling down.

Ans. ______________________________________________________________

2. According to the author liberty is:

a) only a personal affair b) a social contract

c) not a personal affair d) not a social contract.

Ans. ______________________________________________________________

3. According to Sudha Chandran, the seed of achievement lies in:

a) your heart b) your hard work

c) your perseverance d) the human mind.

Ans. ______________________________________________________________

4. Mihir Sen had to postpone his swim by 48 hrs. because of:

a) a chill he caught due to an equatorial storm.

b) a very high tide because of the full moon night.

c) a cyclonic storm which was very dangerous.

d) the south-west monsoon which was about to break.

Ans. ______________________________________________________________

Common Instructions to Candidates :

1) This is a question cum answer paper booklet.

2) Space is provided to write answers below each question. Answer should be written within the

space provided.

3) This question paper has 63 questions including the matching type question.

4) Candidate should not write the answer with pencil. Answer written with pencil will not be evaluated.

5) In case of multiple choice, fill in the blanks and matching questions, scratching, rewriting &

marking is not allowed. Answers with such errors will not be evaluated.

c) boiling kettles 1

b) a social contract 1

d) the human mind. 1

a) a chill he caught due to an equatorial storm. 1

14E

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P107

5. If a non - specialist does the job of snipping the hair around the ears, the result will be:

a) it could set up a nasal trouble

b) the hair will not be cut properly

c) it might result in a distressing blunder

d) accidents like severance of part of the ear

Ans. ______________________________________________________________

6. The ultimate goal of human life is to:

a) be unhoused b) attain spiritual upliftment

c) do the yoga d) attain immortality

Ans. ______________________________________________________________

7. Sohrab was angry because:

a) His mother sent a wrong message.

b) Rustum threw his spear even after he said, he was his son.

c) Rustum denied that Sohrab was his son.

d) Rustum did not believe him.

Ans. ______________________________________________________________

8. Full grown lambs bleat because:

a) they want to go home

b) they are tired of waiting

c) the night is coming

d) they are hungry.

Ans. ______________________________________________________________

9. ‘May toss him to my breast’. The speaker here is:

a) the poet b) god

c) man d) the reader

Ans. ______________________________________________________________

[P.T.O.

d) accidents like severance of part of the ear 1

b) attain spiritual upliftment 1

c) Rustum denied that Sohrab was his son. 1

a) they want to go home 1

b) god 1

14E

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P107

10. ‘The thieves broke the door using a hammar’. The passive form of the sentence is:

a) Using a hammar the thieves broke the door.

b) The thieves broke the door with the hammar.

P107

5. If a non - specialist does the job of snipping the hair around the ears, the result will be:

a) it could set up a nasal trouble

b) the hair will not be cut properly

c) it might result in a distressing blunder

d) accidents like severance of part of the ear

Ans. ______________________________________________________________

6. The ultimate goal of human life is to:

a) be unhoused b) attain spiritual upliftment

c) do the yoga d) attain immortality

Ans. ______________________________________________________________

7. Sohrab was angry because:

a) His mother sent a wrong message.

b) Rustum threw his spear even after he said, he was his son.

c) Rustum denied that Sohrab was his son.

d) Rustum did not believe him.

Ans. ______________________________________________________________

8. Full grown lambs bleat because:

a) they want to go home

b) they are tired of waiting

c) the night is coming

d) they are hungry.

Ans. ______________________________________________________________

9. ‘May toss him to my breast’. The speaker here is:

a) the poet b) god

c) man d) the reader

Ans. ______________________________________________________________

[P.T.O.

d) accidents like severance of part of the ear 1

b) attain spiritual upliftment 1

c) Rustum denied that Sohrab was his son. 1

a) they want to go home 1

b) god 1

14E

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P107

10. ‘The thieves broke the door using a hammar’. The passive form of the sentence is:

a) Using a hammar the thieves broke the door.

b) The thieves broke the door with the hammar.

c) The door was broken with the hammar.

d) The door was broken by the thieves using a hammar.

Ans. ______________________________________________________________

11. ‘It’s your birthday’. The correct question tag is:

a) is it? b) was it?

c) wasn’t it? d) isn’t it?

Ans. ______________________________________________________________

12. ‘Produce it _ _ _ _ _ _ _ _ the counter there’.

The correct preposition to be filled in is:

a) in b) at

c) on d) to

Ans. ______________________________________________________________

13. ‘He tried very hard _ _ _ _ _ _ finally succeeded. The correct conjunction to be

filled in is:

a) and so b) and

c) but d) then

Ans. ______________________________________________________________

14. ‘My friend recalled meeting him at the bus-station’. The underlined word is:

a) Gerund b) Participle

c) Progressive verb d) Continuous tense.

Ans. ______________________________________________________________

15. ‘The whole country was watching the match between India and Australia’. The

figure of speech here is:

a) Alliteration b) Synecdoche

c) Simile d) Metaphor.

Ans. ______________________________________________________________

d) The door was broken by the thieves using a hammar. 1

d) isn’t it? 1

b) at 1

b) and 1

a) Gerund 1

b) Synecdoche 1

14E

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P107

II. Fill in the blanks with appropriate words, choosing from the words given in the brackets:

(allow, people, expert, discipline, entitle, enduring, civilians). [5 x 1 = 5]

16. The war kills not only soldiers, but also _ _ _ _ _ _ _ _ _ _ _ _.

Ans. _____________________________________________________________

17. Liberty does not _ _ _ _ _ _ _ _ the pedestrians to walk down the middle of the

road.

Ans. _____________________________________________________________

18. I make my diagnosis and pass you onto _ _ _ _ _ _ _ _ hands.

Ans. _____________________________________________________________

19. King Revata mode his daughter _ _ _ _ _ _ _ _ _ and strong.

Ans. _____________________________________________________________

20. We are expected to observe _ _ _ _ _ _ _ _ _ _ in class.

Ans. _____________________________________________________________

III. 21. Match the Columns in A with the appropriate words taken from Column B and

write the correct letter in Column C. [5 x 1 = 5]

Column C

Column A Column B A B

1. Raphael a. Hairologist 1.

2. Hazlitt b. Shuetaketu’s sister 2.

3. Dr. Follicle c. King Kukudmin’s daughter 3.

4. John d. An essayist and critic 4.

5. Revathi e. A famous Italian painter 5.

f. Robert Baldwin’s son

[P.T.O.

civilians 1

entitle 1

expert 1

enduring 1

discipline 1

e. A famous italian painter

d. An essayist and critic

a. Hairologist

f. Robert Baldwin’s son

c. King Kukudmin’s daughter

14E

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P107

IV. 22. Quote from Memory: [4]

“Seven years I could not walk a step.

When I to the great physician came

He demanded : Why the crutches?

And I told him : I am lame.

He replied : That’s not surprising.

Be so good and try once more.

Yet let him keep the rest,

But keep them with repining restlessness:

Let him he rich and weary, that at least,

If goodness lead him not, yet weariness

May toss him to my breast.

14E

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P107

V. Answer the following questions: [4 x 1 = 4]

23. Frame a question to get the words underlined as the answer:

“I have a Cell phone”.

Ans. _____________________________________________________________

24. Combine the sentences using ‘neither _ _ _ _ nor’:

He is not a doctor. He is not a specialist.

Ans. _____________________________________________________________

25. Use punctuation marks in the following sentences:

sir please come in and take your seat he said.

Ans. _____________________________________________________________

26. Combine the sentences using “not only _ _ _ _ _ _ but also”.

He was very bright. He was very talented.

Ans. _____________________________________________________________

VI. Answer the following questions in three sentences each: [15 x 2 = 30]

27. Why do we observe the rules according to C.E.M. Joad?

Ans. _____________________________________________________________

__________________________________________________________________

_________________________________________________________________

28. What conclusions did the narrator reach, looking at the two boys playing the game?

Ans. _____________________________________________________________

__________________________________________________________________

_________________________________________________________________

[P.T.O.

What do you have (or do you have a cellphoned)

He is neither a doctor, nor a specialist

“Sir, please come in and take your seat”, he said.

He was not only bright, but also very talented

If we do not observe rules we will get into rows we’ll

be quarrelling and fighting and getting into each others

ways.

May be the white boy realised his superiority at a young

age and the little black boy realised that he would

growup to serve the white man.

14E

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P107

29. How did Sudha’s story help her Indian fans after the release of her films?

Ans. ______________________________________________________________

_____________________________________________________________________

30. Why do we need specialization in certain professions?

Ans. ______________________________________________________________

_____________________________________________________________________

31. Why had Balarama to change his technique while fighting with Revathi?

Ans. ______________________________________________________________

_____________________________________________________________________

32. Why did Baldwin go to meet Gresham.

Ans. ______________________________________________________________

_____________________________________________________________________

Her Indian fans wrote to say that they were inspired

by her story and that it had given them a new hope.

Specialization is necessary in certain profession like

Medicine, so that we can get the best treatment

necessary like heart, brain, bones etc.

Soon Balarama, who thought he was playing against a

child had to change his technique as the adversary was

skilled and she had a dogged spirit.

Gresham was arrested by the police for the fraud which

crashed his bank. Baldwin was the only Witness who

worked with the Bank and Gresham had called him to

the jail to meet him.

14E

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P107

33. How does ‘Yoga’ help the soul to reach its goal?

Ans. ______________________________________________________________

_____________________________________________________________________

34. Why did the tiger king change his plan of action the second time?

Ans. ______________________________________________________________

_____________________________________________________________________

35. Why did the lady put away her labour and her leisure?

Ans. ______________________________________________________________

_____________________________________________________________________

36. How was the physician ‘Great’ in ‘The Crutches’?

Ans. ______________________________________________________________

_____________________________________________________________________

[P.T.O.

Yoga is a system of meditation and self-control

intemded to bring about the union of the individual

soul with the universal spirit. So it helps the soul to

reach its goal

First time the tiger king ment alone. But in an hour, he

was back with the block patch on his eye and his tail

in a sling. He drew up a new strategy with the tiger

people to deal with Ajamil’s dog.

Death came as a gentleman to take her in his horse -

drawn carriage. Because of his kindness (Politeness)

in stopping for her, she put away her labour and leisure

and agreed to go with him.

The physician was ‘Great’, as he understood the cause

of the narrator’s lameness. He was also popular and

famous.

14E

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P107

37. ‘Sachin Tendulkar is one of the Greatest batsman in the world’.

(Change into the other two degrees of comparison).

Ans. _____________________________________________________________

_____________________________________________________________________

38. “Why did you shout at me?” he asked.

(Change into reported speech).

Ans. ______________________________________________________________

39. Use the word “show” both as a noun and as a verb in separate sentences:

Ans. ______________________________________________________________

_____________________________________________________________________

40. He was very sensitive. He did not object.

(Use ‘too _ _ _ _ _ _ _ to’).

Ans. ______________________________________________________________

41. I thought of my friend. I felt sad.

(Combine the two sentences into a complex sentence).

Ans. ______________________________________________________________

_____________________________________________________________________

Positive Degree : Very few batsman in the world are

as great as Sachin Tendulkar.

Comparative Degree : Sachin Tendulkar is greater than

most of the batsman in the world.

He asked him why he had shouted at him.

Noun : We went to watch an open air show yesterday.

Verb : Please show me what work you have done.

He was too sensitive to object

When I thought of my friend, I felt sad.

14E

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P107

VII. Answer the following in 5 sentences each: [10 x 3 = 30]

42. Why did the white man feel surprised at the narrator’s explanation and what answer

did he give?

Ans. ______________________________________________________________

_____________________________________________________________________

43. When did Akshinov suspect that Makar was the real murder and why?

Ans. _____________________________________________________________

_____________________________________________________________________

[P.T.O.

When the narrator started to explain how we grown ups impute

motives to children’s innocent actions or games, he was

surprised, because he knew all about the game and he had

played the game himself. Besides he was the father of the

three boys and they were both his children born to his

coloured wife. He said that he knew all about the game.

The boys were his sons and they were brothers.

When Makar laughed and said that the murder must have

been the one in whose bag the knife was found, he wondered

how Makar knew about all this and suspected Makar of being

the real murder. Because he knew that the bag was under

Akshinov’s head when Makar hid the knife.

14E

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P107

44. How did Sohrab console his desperate father?

Ans. ______________________________________________________________

_____________________________________________________________________

45. What are the various activities we note in nature during ‘Autumn’?

Ans. ______________________________________________________________

_____________________________________________________________________

Sohrab crawled close to Rustum and held his hand from

killing himself with the sword and told Rustum that the doom

of his fate was written in heaven, before his birth and Rustum

was chosen by God as his instrument to carry out that fate.

He told him to call him ‘his son’ and to kiss his checks and

he will be satisfied.

Autumn is personified as a woman carrying out various tasks

of the Harvest season. It cuts the havest while its hair is

soft-lifted by the winnowing wind, it sits in the middle of a

half seaped furrow and falls a sleep drowsed by the smell of

poppies. It acts as a gleaver, carrying a corn bundle across

the brook and keeping the head steady. It also acts as a cider

- presser watching the last dozings of the apple - juice.

14E

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P107

46. How did Krishna pursuade Balarama to go to the help of King Kukudmin?

Ans. ______________________________________________________________

_____________________________________________________________________

47. Explain the following with reference to the context:

“Being good is a sign of civilization”.

Ans. ______________________________________________________________

_____________________________________________________________________

[P.T.O.

Krishna pitied King Kukudmin and his daughter and said

that he wondered how only the two of them could win back

Kushasthali. He wished that they could help, but said that they

are wanted in Mathura and pretended that he could go to

Kushasthali while Balarama could look after Mathura.

Actually he wanted Balarama to go to Kushasthali.

Taken from “A Dialogue on Civilization”. Written by C.E.M.

Joad. It is said by the narrator C.E.M. Joad. He says that being

good means acting justly towards your neighbour and

respecting his property, obeying bonus etc. It is part of

civilization.

14E

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P107

48. “The goal was in sight, but not the end of the ordeal”.

Ans. ______________________________________________________________

_____________________________________________________________________

49. “Ivan Dmitrich, forgive me!”.

Ans. ______________________________________________________________

_____________________________________________________________________

It is taken from “Operation Indian Ocean”, written by Mihir

Sen. During his swim across the Palk straits, as the moon

was setting, he could see the silvery strip of land on the

sacred shores of Dhanuskodi. But he still had two-and-ahalf

hours of tough fight ahead and he was very tired.

It is taken from “The long Exile”, written by Leo tolstoy.

It is said by Makar semyonich to Ivan Dmitrich Akshinov.

Due to Makar Semyonich’s crime Ivan had to suffer in jail

for 26 years. Yet he saved Makar by not telling his name to

the Governor. So Makar feels sorry and asks his forgiveness.

14E

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P107

50. “We were coming to see you as friends”.

Ans. ______________________________________________________________

_____________________________________________________________________

51. “I first surmised the horse’s heads were towards eternity”.

Ans. ______________________________________________________________

_____________________________________________________________________

[P.T.O.

It is taken from “Ajamil and the Tigers”, written by Arun Kolatkar.

It is said by the tiger king to Ajamil. When the tiger king

and the tigers were chained and thrown infrontof Ajamil

by the dog, they were helpless but were too proud to admit

defeat. So the tiger king pretended that he wanted to make

friendship with Ajamil, but the dog mistook them.

It is taken from “Because I could not stop for Death” written

by Emily Dickinson.

She says that Death came as a gentleman to take her. So she

went with him. They passed the school, playground, fields

and come to the moud which was a graveyard. After that

they continued the journey beyond the Horizon and the

Horse’s heads were towards eternity.

14E

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P107

VIII.Answer the following in a paragraph each: [3 x 4 = 12]

52. How can we resolve the clash of liberties?

Ans. ______________________________________________________________

_____________________________________________________________________

53. What is Mihir Sen’s message to the youth of India?

Ans. ______________________________________________________________

_____________________________________________________________________

Gardiner says that in our personal matters we can be as free

as we like. But when it comes to social matters, we have to

keep in mind also the liberties of other people. We have no

right to disturbe the liberties of other people and disturbe

peace. So we cannot be complete marchists nor complete

socialists but we must be a judicious mixture of both. We

have to preserve both liberties - our individual liberty and

our social liberty.

Mihir Sen’s message to the youth of India is that nothing is

impossible for them - all they have to do is to Believe and

persevere and the goal will be theirs. It is his firm conviction

that unless we individually become adventurous and

positively setless and enterprising, India will not be able to

break the bonds of apathy and tradition, whether on the

physical or on intellectual fronts.

14E

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P107

54. How does the ‘Sublime love’ of the dog help him to survive in the harsh climate on

the Helvellyn mountains?

Ans. _____________________________________________________________

_____________________________________________________________________

[P.T.O.

The traveller ‘Charles Gough’ had gone angling to the

Helvellyn mountains and while going over had slipped and

fallen over the cliff and died. But his dog had watched over

his dead body for three months without any nourishment

and withstood the harsh climate. So the poet wondered what

gave the dog the strength to stand up to the climate. He comes

to the conclusion that it was the sublime love that nourished

the dog. 4

14E

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P107

IX. 55. Expand the given outline into a well-knit story and give a title and moral to the

story:

A miser _ _ _ _ _ _ _ never has bought an umbrella _ _ _ _ _ _ _ walks in rain and

shine without one _ _ _ _ _ _ _ a friend presents one _ _ _ _ _ _ _ goes out one day

taking the umbrella _ _ _ _ _ _ _ it rains heavily on way back home _ _ _ _ _ _ _

he puts his umbrella in his coat-pocket dripping wet, but worried if the umbrella

will get spoilt _ _ _ _ _ _ _ down with fever. [4]

Ans. _____________________________________________________________

_____________________________________________________________________

Readable story:

Grammatically correct sentences with

proper punctuation marks.

Suitable title

Moral of the story

14E

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P107

X. 56. Consider that you are Mohan / Suma from Bangalore. Write a letter to the Manager,

Kirloskar Electrical Company, applying for the post of a technician. [5]

Write a letter to your younger brother, advising him to take post in sports and

games.

Ans. ______________________________________________________________

_____________________________________________________________________

[P.T.O.

Date: xxxxxxxxx

Place:xxxxxxxxx

From, (Address)

xxxxxxxxxxxxxxxxxxxxx

To, (Address)

xxxxxxxxxxxxxxxxxxxxx

Salutation,

Subject:

Body of the Letter

Thanking you,

Mohan / Suma

Yours Sincerely or faithfully,

Address on the envelop

To,

Kirloskor electrical Company

The Manager

OFFICIAL LETTER

14E

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P107

Ans. ______________________________________________________________

_____________________________________________________________________

From, (Address)

Body of the Letter

Mohan / Suma

Yours lovingly,

To,

(Younger Brother’s address)

PERSONAL LETTER

(Right hand side)

Date :

Dear . . . . . .,

14E

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P107

XI. 57. Write an essay, not exceeding a page on any one of the following topics: [5]

a) How has pollution affected the health of the people?

b) What are the advantages of computers in the modern world?

c) How has population explosion slowed down India’s progress?

Ans. ______________________________________________________________

_____________________________________________________________________

Introduction

Matter :

Conclusion:

Correct usage of language

[P.T.O.

14E

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P107

XII. Read the following passage and answer the questions that follow: [6 x 1 = 6]

The greatest defect of our civilization is that it does not know what to do with its

knowledge. Science has given us powers fit for the Gods, yet we use them like small

children. For example, we do not know how to manage our machines. Machines were

made to be man’s servants; yet he has grown so dependant upon them that they are in a

fair way to become his masters. Already most men spend most of their lives looking

after and waiting upon machines. And the machines are very stern masters.

They must be fed with coal, and petrol to drink and oil to wash with, and they must

be kept at the right temperature. And if they do not get their meals when they expect

them, they grow sulky and refuse to work, or burst with rage and blow up, and spread

ruin and destruction all around them. So we have to wait upon them very attentively and

do all that we can to keep them in good temper. Already we find it difficult either to

work or play without the machines and a time may come when they will rule us all -

together just as we rule the animals.

58. What is the greatest defect of our civilization.

Ans. ______________________________________________________________

_____________________________________________________________________

59. How do we use the powers given to us?

Ans. ______________________________________________________________

_____________________________________________________________________

The greatest defect of our civilization is that it does not

know what to do with its knowledge.

We use the powers given by science like small children.

14E

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P107

60. Why were the machines first made?

Ans. ______________________________________________________________

_____________________________________________________________________

61. How do most men spend most of their lives?

Ans. ______________________________________________________________

_____________________________________________________________________

62. What is the food for the machines?

Ans. ______________________________________________________________

_____________________________________________________________________

Machines were made to be man’s servants.

Most men spend most of their lives looking after and waiting

upon the machines.

The food for the machines is coal and the drink for

the machines is Petrol.

[P.T.O.

14E

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P107

63. How do machines react if they are not given food at the expected time?

Ans. ______________________________________________________________

_____________________________________________________________________

_______________________________________________________________________

________________________________________________________________________

P118 81E

Space for Rough Work

I. Four alternatives are given to each of the following incomplete statements. Select the

most appropriate one and write its serial letter and also the correct answer in the space

provided. [20 x 1 = 20]

1. If Tn = (–1)n, then the correct relation between the sum of terms is

a) S1 = S2 b) S2 = S3

c) S3 = S4 d) S2 = S4

Ans. ______________________________________________________________

2. HCF of ab, bc and ac is

a) abc b) a2 b2 c2

c) 1 d) ab + bc + ac.

Ans. ______________________________________________________________

3. The corresponding sides of two similar triangles are in the ratio 4 : 9. The ratio

between their areas is

a) 2 : 3 b) 16 : 81

c) 81 : 16 d) 14 : 19

Ans. ______________________________________________________________

Common Instructions to Candidates:

1) This is a question cum answer paper booklet.

2) Space is provided to write answers below each question. Answer should be written within the

space provided.

3) This question paper has 58 questions including the matching type question.

4) Candidate should not write the answer with pencil. Answer written with pencil will not be

evaluated (Except graphs, diagrams & maps).

5) In case of multiple choice, fill in the blanks and matching questions, scratching, rewriting &

marking is not allowed. Answers with such errors will not be evaluated.

d) S2 = S4

c) 1

b) 16 : 81

-3-

P118 81E

Space for Rough Work

4. If 9 x = 12 + 147, the value of x is

a) 12 b) 9

c) 3 d) 3

Ans. ______________________________________________________________

5. The incorrect statement among the following is

a) nPn = nCn b) nP1 = nC1

c) nP0 = nC0 d) nPn = nPn–1

Ans. ______________________________________________________________

6. An example for HP among the following is

a) 1,

b) 1, 1

, 1

c) 1, 2

d) 1,

Ans. ______________________________________________________________

7. A non - traversable network among the following is

a) b)

c) d)

Ans. ______________________________________________________________

[P.T.O.

c) 3

a) nPn = nCn

c) 1, 2

, 1

, 2

-4-

P118 81E

Space for Rough Work

8. The fourth term of the sequence 3, 3, 3 3 is

a) 9 b) 21

c) 27 3 d) 9 3

Ans. ______________________________________________________________

9. The LCM of (x + y)2, (x – y)2 and (x2 – y2) is

a) (x2 + y2)2 b) x4 – y4

c) (x2 - y2)2 d) (x + y) (x – y)3

Ans. ______________________________________________________________

10. The sum and the product of three numbers are 0 and 30 respectively. The sum of

their cubes is

a) 0 b) 90

c) 160 d) 900

Ans. ______________________________________________________________

11. If v2 = u2 + 2as, then the value of ‘u’ is

a) v2 - 2as b) ± v2 + 2as

c) ± v2 − 2as d) 2as – v2

Ans. ______________________________________________________________

12. The quadratic equation whose roots are 1 and –1 is

a) ax2 – x – 1 = 0 b) ax2 – 1 = 0

c) x2 = 1 d) x2 + 1 = 0

Ans. ______________________________________________________________

a) 9

c) (x2 - y2)2

b) 90

c) ± v2 − 2as

c) x2 = 1

-5-

P118 81E

Space for Rough Work

13. If a

abc

Σ = 0, then a

abc

Σ 3 is

a) 0 b) 1

c) –3abc d) 3abc

Ans. ______________________________________________________________

14. The value of 1! × 3! × 0! is

a) 6 b) 0

c) 3 d) 1

Ans. ______________________________________________________________

15. In the given figure if ∠PAO = 30º, the measure of ∠POQ is

a) 60º b) 120º

c) 90º d) 30º

Ans. ______________________________________________________________

16. The pure quadratic equation in the following is

a) 4x = 81

b) x + 1

= 5

c) (x + 2)2 = 3x d) 5 – x2 = x

Ans. ______________________________________________________________

[P.T.O.

d) 3abc

a) 6

b) 120º

a) 4x = 81

-6-

P118 81E

Space for Rough Work

17. The diagonal of a square is 10 2 cm, then the length of its side is

a) 2 cm b) 10 cm

c) 8 cm d) 20 cm

Ans. ______________________________________________________________

18. The Harmonic Mean between 1 and 2 is

a) 1

b) 1

c) 1

d) 1

Ans. ______________________________________________________________

19. The matrix of the given network is

2 0

0 2



 



 

2 1

1 2



 



 

2 1



 



 

1 1



 



 

Ans. ______________________________________________________________

20. The value of n

n=1

nΣ

+ (n −1)

n=1

nΣ

a) n(n –1) b)

c) 2n2 d) n2

Ans. ______________________________________________________________

P Q

b) 10 cm

c) 1

2 1

1 2



 



 

d) n2

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P118 81E

Space for Rough Work

II. Complete the following statements by filling the blanks. [10 x 1 = 10]

21. If the order of matrix A is m × n and the order of matrix B is n × p, then the order

of matrix AB is ________.

Ans. ______________________________________________________________

22. A regular polyhedron enclosed by pentagonal faces is ___________.

Ans. ______________________________________________________________

23. If P and Q are non - empty sets and P – Q = P, then P ∩ Q is _________.

Ans. ______________________________________________________________

24. The mathematician who proposed Basic Proportionality Theorem is ____________.

Ans. ______________________________________________________________

25. The angle in a semi circle is _____________.

Ans. ______________________________________________________________

[P.T.O.

m × p

Do decahedron

φ or Null set or { }

Thales

90º or Right angle

-8-

P118 81E

Space for Rough Work

26. The formula used to find the coefficient of variation is ___________.

Ans. ______________________________________________________________

27. The conjugate of a x +b y is ______________.

Ans. ______________________________________________________________

28. A solid described by the revolution of a semi circle about a fixed diameter is ______.

Ans. ______________________________________________________________

29. The formula used to find the curved surface area of a cylinder is __________.

Ans. ______________________________________________________________

30. The reciprocals of the terms of an AP form _____________.

Ans. ______________________________________________________________

a x−b y

Sphere

2π rh

Mean

×100 or σx

×100

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P118 81E

Space for Rough Work

32. If one root of the equation px2 + 3x + 2 = 0 is reciprocal of the other, then find the

value of p.

Ans.

[P.T.O.

Px2 + 3x + 2 = 0

let m, n be the roots

m + n = −b

a = − +3

= −3

mn = c

a = 2

m = 1

(given)

∴mn = 1

× n = 2

1 = 2

Ρ; P = 2

III. Solve the following problems in the space provided.

31. In a group of 25 persons 8 drink tea only, 7 drink coffee only and 4 persons drink

both tea and coffee. Draw a Venn diagram to show how many of them neither

drink tea nor coffee.

1234567890123456789012345678901212345678901234567890123

[2]

8 4 7

a = p

b = + 3

c = 2

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P118 81E

Space for Rough Work

33. Solve the equation x2 + 1 = 8x using the formula. [2]

Ans.

x2 – 8x + 1 = 0

x = −b ± b2 − 4ac

−(−± (−8)2 − 4 ×1×1

2 ×1

= 8 ± 64 − 4

8 ± 60

2(4± 15)

= 4 ± 15

Given ratio of three numbers as

= 10 : 6 : 5

let the numbers be 10x, 6x, 5x,

According to problem

(10x)2 + (6x)2 + (5x)2 = 644

100x2 + 36x2 + 25x2 = 644

161x2 = 644

34. Three numbers are in the ratio 1

. If the sum of their squares is 644, find the

numbers. [2]

a = 1

b = –8

c = 1



 

 



 

 



 

 

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P118 81E

Space for Rough Work

35. A =

1 2

3 0



 



 

. Find the value of ΑΑ′. [2]

Ans.

Α =

1 2

3 0



 



 

; Α′=

1 3

2 0



 



 

Α×Α′=

1 2

3 0



 



 

1 3

2 0



 



 

(1+ 4) (3 + 0)

(3 + 0) (9 + 0)



 



 

5 3

3 9



 



 

[P.T.O.

x2 = 644

161

x2 = 4

x = ±2

the numbers are 20, 12, 10.



 

 

(Neglect negative value)

2 + 1

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P118 81E

Space for Rough Work

36. Two girls and four boys are made to sit in a line for a photograph. In how many

different ways they can be seated so that the two girls are always together. [2]

Ans.

G1 G2 B1 B2 B3 B4

Taking two girls as one unit

we can arrange all of them in 5P5 ways.

Girls may be inter changed in 2 ways.

∴ Total No. of ways = 5P5 × 2

= 120 × 2

= 240

37. Rationalise the denominator and simplify

3 2+2 3

3 2−2 3

[2]

Ans. RF of 3 2−2 3 is 3 2+2 3

∴3 2+2 3

3 2−2 3

×3 2+2 3

3 2+2 3

(3 2+2 3)2

(3 2)2 − (2 3)2

(3 2)2 + (2 3)2 +2(3 2)2 3

9 × 2 − 4 × 3

P118 81E

Space for Rough Work

Solve for a ; a + 12d = 38 × 1

a + 6d = 20 × 2

a + 12d = 38

(–) 2a + 12d = 40

Sub –a = –2

a = 2

a = The first term of HP = 2

(–) (–)

44. Construct Cayley’s table under multiplication modulo 10 on S = {2, 4, 6, 8}. [2]

Ans.

10 2 4 6 8

2 4 8 2 6

4 8 6 4 2

6 2 4 6 8

8 6 2 8 4

⊗

2 mark for

each correct

row / column



 

 

(–)

(or) Any other

alternate method

-19-

P118 81E

Space for Rough Work

Ans.

[P.T.O.

A B C

A 0 2 2

B 2 0 1

C 2 1 0

45. Draw the graph for the following matrix [2]

0 2 2

2 0 1

2 1 0













A B

-20-

P118 81E

Space for Rough Work

B C

E F

Ans.

V = 6

F = 5

E = 9

Euler’s formula

V + F = E + 2

6 + 5 = 9 + 2

11 = 11

46. Verify Euler’s formula for the solid given below. [2]

B C

E F

-21-

P118 81E

Space for Rough Work

Ans.

[P.T.O.

4 cm circle

Radii

dev

64, 64r, 64r2, 64r3 . . . . . . . . GP.

64 + 64r3

= 140

64 + 64r3 = 280

64r3 = 280 – 64 = 216

r3 = 216

= 27

= 3





r = 3

= 11

48. The first term of a GP is 64 and the common ratio is ‘r’. If the average of the first

and the fourth term is 140, find the value of ‘r’. [2]

100º

47. In a circle of radius 4cm, draw two radii such that the angle between them is 100º.

Draw two tangents at the ends of the radii. [2]



 

 



 

 

(or) Any other

alternate method

-22-

P118 81E

Space for Rough Work

Ans.

IV. 49. If a + b + c = 2s, then show that [3]

a2 + b2 − c2 + 2ab

a2 − b2 − c2 + 2bc

= s

(s − b)

Nu → a2 + b2 + 2ab – c2 a + b + c = 2s

= (a + b)2 – c2 a + b = 2s – c

= (a + b + c) (a + b – c)

= 2s (2s – 2c)

= 4s (s – c) 1

De → a2 – (b2 + c2 – 2bc)

a2 – (b – c)2

(a + b – c) (a – b + c)2 a + b = 2s – c

(2s – 2c) (2s – 2b) a + c = 2s – b

4(s – b) (s – c) 2 1

Divide 1 by 2

4s(s− c)

4(s − b)(s − c)

= s

s − b proved

-23-

P118 81E

Space for Rough Work

Ans.

[P.T.O.

Data : O is the centre of the circle.

PA & PB are tangents from Ext. point P.

AO & BO joined

To prove : PA = PB

Proof : compare Δles PAO and PBO

AO = BO (radii of same circle)

OP = OP (common)

PAˆ O = PBˆ O (Radius and tangent

at a common point)

∴ ΔPAO ≅ ΔPBO (RHS)

∴ PA = PB

50. Prove that the tangents drawn to a circle from an external point are equal. [3]



   

-24-

P118 81E

Space for Rough Work

Ans.

51. Calculate the standard deviation for the following frequency distribution. [3]

C.I f

20 – 24 2

25 – 29 3

30 – 34 5

35 – 39 3

40 – 44 2

C.I. f x fx d d2 fd2

20-24 2 22 44 –10 100 200

25-29 3 27 81 –5 25 75

30-34 5 32 160 0 0 0

35-39 3 37 111 5 25 75

40-44 2 42 84 10 100 200

15 480 550

Arith. Mean = 480

15 = 32 Μ = Σ fx



Std. Deviation : σ = Σ fd2

= 550

= 36.6 = 6.05 1

σ = 6.05

fx = 1

M =

d2 = 1

fd2 = 1

-25-

P118 81E

Space for Rough Work

Ans.

[P.T.O.

52. There are 16 cricket players in a club, of whom 5 are batsmen, 4 are bowlers and

the rest are allrounders. In how many ways a team of 11 be selected so as to contain

3 batsmen, 2 bowlers and the remaining allrounders. [3]

3 batsmen are selected out of 5 in 5C3 ways

2 bowlers are selected out of 4 in 4C2 ways

6 allrounders are selected out of 7 in 7C6 ways

Total no. of ways = 5C3 × 4C2 × 7C6.

= 10 × 6 × 7 = 420 Teams

Ans.

53. Find the L.C.M. of :

(x3 – 9x2 + 26x – 24) and (x3 – 6x2 + 11x – 6). [3]

x x3 – 9x2 + 26x – 24 x3 – 6x2 + 11x – 6 1

x3 – 5x2 + 6x x3 – 9x2 + 26x – 24

(+) (–) (+) (–) (+)

–4 –4x2 + 20x – 24 3x2 – 15x + 18

–4x2 + 20x – 24 ÷3

0 x2 – 5x + 6

x2 – 5x + 6) x3 – 9x2 + 26x – 24 (x – 4

x3 – 5x2 + 6x

–4x2 + 20x – 24

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