NLD - Pre-Final (All subjects)files.dcebhyderabad.webnode.in/200000685-9228e93606/SSC Practice Paper - English, Maths...R - 4 2 NHK Radi o : How is peace connected t o a good envir

R - 4SUMMATIVE ASSESSMENT - 2015 - '16

PRE - PUBLIC EXAMINATIONS - FEBRUARY 2016

Third Language - ENGLISH - Paper I

X Class] (Max. Marks: 40) [ Time: 2:45 Hrs.

Note:- 1. This question paper contains three sections (A, B and C)

2. 15 minutes time is allotted exclusively for reading the question

paper and 2.30 hours for writing the answers.

3. All answers are to be written in the answer booklet only.

4. Students can make use of the last pages of the answer booklet for

rough work, while answering the discourses.

* * *

Section - A

Reading Comprehension (15 Marks)

(Q. 1-7) Read the following passage.

NHK Radio : How did you become aware of the environment ?

Wangari Maathai : From the time we started, we were trying to respond

to the basic needs of people in the rural areas : and people were asking

for clean drinking water, for food, for energy (which is mostly firewood),

for building material, for fodder for the animals. And all these come

from the land. So we knew that what the people in the rural areas were

asking for had to do with the environment. They did not have those

things because the environment was degraded. So, from the very

beginning we understood that we have to rehabilitate the environment.

The forested mountains were the source of water and the source

of rain, so when you deforest you cause a shortage of water and a

change of rainfall patterns and therefore people are not able to get food

and water. Therefore, in order for them to have good environment that

can sustain their livelihoods, it is important to have a government that

accounts to them, that protects them, that protects their interests, that

is concerned about their lives.

[ Turn Over

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NHK Radio : How is peace connected to a good environment ?

W M : Many wars that are fought in the world are fought over natural

resources. Some wars are fought because the environment is so degraded

that it is not able to support communities and so they fight over the little

that is left. Others are fought because some people want to take a lot

of the resources, to control them, and to keep many other people out.

Now, answer the following questions. Each question has four choices.

Choose the correct answer and write (A), (B), (C) or (D) in your answer

booklet. 4x1=4

1. Which of the following, according to Maathai, is not a basic need

of the rural people ?

A) water for drinking B) animal's food

C) money D) fuel for cooking

2. The people aren't getting their basic needs fulfilled because....

A) they are facing health problems

B) they don't have proper leaders

C) the environment is being spoiled

D) they are very poor

3. What is main cause to get more rain ?

A) forested mountains B) deforested mountains

C) dark acids D) heavy cutting of trees

4. What is the central theme of the passage ?

A) Environmental Protection

B) Changes in rainfall pattern

C) The accountability of the Government

D) Fighting the wars

[ Contd...on 3rd page

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Answer the following questions in Two or Three sentences. 3x2=6

5. What are the effects of degraded environment ?

6. How should government be accountable ?

7. "Good environment breeds happy people." Do you agree with

the statement ? Support your answer.

(Q.No. 8-12) Read the following excerpt from 'The Storeyed House - II'.

Kondiba Patil was soon there. With him was the thug Bhujaba and

four or five seasoned rascals like Vithoba Ghayakute and Parasu

Marthanda. These people felt uneasy at the sight of the brand new

house, the impressive pandal and the crowd of smiling faces.

Their eyes roved all over the place. Bayaji led them up the stairs

in the kitchen. The first floor looked like a drawing room. The walls

were radiant with blue oil-paint. The fresh colour gave out a pleasant

smell. Framed pictures of great men like Lord Buddha, Dr. Babasaheb

Ambedkar, Karmaveer Bhaurao Patil, Mahatma Jyotiba Phule and others

hung on the walls. The loft-like first floor was filled with a pious and

holy ambience.

Bayaji spread a rough woollen carpet for Patil and the other high-

caste people. Patil sat quietly on that. His companions rather

uncomfortable took their positions around him ; Bayaji offered them the

customary betel leaves. Patil accepted the leaves but immediately gave

it back to Bayaji with the remark, 'Yes, it's all very nice !'

[ Turn Over

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'But why don't you accept the betel leaves ?' Bayaji asked

nervously. Bhujaba smiled artificially and said, 'It's enough that your

offering is honoured ; is it also necessary to eat it ? We'll make a move

now.' With this Kondiba, Patil, Bhujaba and his companions rose to leave.

As they came down, Bhujaba felt as if he were tumbling down the

stairs.

They eyed one another as if to say, 'This untouchable worm has

got a swollen head. He needs proper handling.'

Now, answer the following questions. Each question has four choices.

Choose the correct answer and write (A), (B), (C) or (D) in your answer

booklet. 3x1=3

8. Who felt uneasy at the sight of the brand new house ?

A) Kondiba Patil and his leaders

B) Kondiba Patil and his brothers

C) Kondiba Patil and his followers D) The crowd

9. The blue oil-painted walls were ..........

A) shining brightly B) dim looking

C) colourful D) pious looking

10. 'The loft-like first floor........'This expression is a .....

A) an idiom B) a personification

C) a metaphor D) a simile

[ Contd...on 5th page

5 R - 4

Now, answer the following questions in One or Two sentences. 2x1=2

11. Framed pictures of great men were hung on the walls ?

What does this reveal us about Bayaji ?

12. Why do you think Bhujaba felt as if he were tumbling down

the stairs ?

Section - B

Vocabulary & Grammar (10 Marks)

(Q.No. 13-17) Read the passage given below. Five sentences in the passage are

numbered (13-17) at the beginning. Each of these sentences has an error. Correct

and re-write them in the answer booklet. 5x1=5

'I realized why God had made us like this - to give hope to others.

(13) It was so inspirational to me that I decided to use my life to encourage

other people and give them the courage that the article has given me.

(14) 'I decided to be thank for what I do have, not get angry about

what I don't.

(15) 'I looked for myself in the mirror and said : (16) 'You know

what the world is right that I have no arms or legs, because they'll never

take away the beauty of my eyes. (17) 'I wanted to concentrate on

nothing good that I had.'

[ Turn Over

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(Q.No : 18-22 ) Complete the passage choosing the right words from the given box.

Each blank is numbered. Write the correct word in your answer

booklet. 5 x ½ = 2½

never, pay off, shocked, take off, if, hoping, motto

Now, I'm sorry .........(18) .........I sounded rude, but really I'm

......(19) ------- to find the way you're living. I've ............(20) .......owed

a penny in my life-cash down, that's my ..........(21) ........ and I want

you to do the same. (She opens her handbag.) Now look, here's a little

cheque I was meaning to give you, anyway. (She hands it to Jill). Suppose

you take it and ..........(22) .......... just one of your bills-so that you can

say one thing atleast really belongs to you.

(Q.No. 23-27) Some words or phrases in the given passage are underlined. Write down

the answers in your answer booklet as directed. 5 x ½ = 2½

Was it that even as a boy he sensed that in his own country he

would be at the white man's beck and call (23) ? Could he, at his age,

divine a difference between himself and the white boy ? And did the

little white youngster, so young, such a baby, realise that he would grow

to dominate the black man ? Was there an indefinable quality in the

white man that abled (24) his baby, smaller and younger than his

playmate, to make him his slave ? I could find no answer. I could not

bring myself to believe such a thing, and yet, with my own eyes I had

seen a little dark boy take orders from a little white boy - a little white

boy, obviously (25) his social equal, and younger and smaller. Were we,

as a race, really inferior ? So inferior (26) that even in our infancy we

realised our deficiencies (27), and accepted a position as the white

man's servant ?


7 R - 4

Questions :

23. Write the meaning of the underlined expression.

24. Replace the underlined word with its suitable form.

25. Provide the synonym of the underlined word.

26. Write the antonym of the underlined word.

27. Write the singular form of the underlined word.

Section - C

Creative Writing (Discourses)

28. 'Events from the Ramayana and from the life of the Prophet were

the bedtime stories my mother and grandmother would tell the

children in our family.' It is an incident narrated by Abdul Kalam

from his childhood.

Now recall the bedtime stories you heard from the elders of your family,

write down one such a story with a message or moral. Write in about 120 to

150 words. 10

Ø Title

Ø A good beginning

Ø A twist in the middle

Ø Resolution in the end

Ø Message or moral

OR

One Sunday morning, Roberge found Ray in a disturbed mood. A

few well - known personalities of the city had visited him earlier to go

through some of his manuscripts. After they left, Ray found the

Charulatha screenplay missing.

[ Turn Over

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Imagine you were Roberge, describe the feelings of Ray after the incident

and the lesson you learnt from it. Write down in about 120 to 150 words.

29. In the poem, 'Abandoned', you came across how a little baby

was abandoned to the garbage bin. Of late, you have either read

or heard about a similar incident happening in the area of Devarakonda,

in Nalgonda district. It certainly pained everyone's heart a lot.

You too were moved by it.

Now record your feelings on the incident in your diary. 5

Add details like :

Ø Day and date.

Ø Personal feelings, thoughts and reflections

Ø What do you learn from the incident ? ......etc.

* * * * *



Third Language - ENGLISH - Paper II


Note:- 1. This question paper contains three sections (A, B and C).

2. 15 minutes are allotted exclusively for reading the question paper

and 2.30 hours for writing the answers.

3. All the answers are to be written in the answer booklet only.

4. Students can make use of the last pages of the answer booklet for

rough work, while answering the discourses.

* * *

Section - A

Reading Comprehension (15 Marks)

(Q.No. 1-5) Read the following passage.

Regular physical activity provides numerous health benefits-from

leaner bodies and lower blood pressure to improved mental health and

cognitive functioning. As the school physical education programme

promotes physical activity and can teach skills, as well as form or change

behaviour, it holds an important key to influencing health and well-being

across the life span. To improve the fitness of students, we need to

rethink the design and delivery of school-based physical education

programme. Adults in the United States think that information about

health was more important for students to learn than content in language,

Arts, Mathematics, Science, History or any other subject. Despite this

high ranking, most schools devote minimal curriculum time to teaching

students how to lead healthy lives. Our first step might be to consider

ways to increase curriculum time devoted to physical education. In

addition, schools need to thoughtfully analyse the design and delivery

of school physical education programme to ensure that they are engaging,

developmentally appropriate, inclusive and instructionally powerful.

[ Turn Over

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(Q.No. 1-3) Now answer the following questions. Each question has four

choices. Choose the correct answer and write (A), (B), (C) or (D) in your

answer booklet. 3x1=3

1. Americans are giving priority to ..........

A) Social Sciences B) Mathematics

C) Natural Sciences D) Health Education

2. According to the passage, regular physical activity is needed to

improve ...........

A) one's blood pressure

B) one's physical as well as mental health

C) one's cognitive skills D) one's weight

3. In order to tone up the physical education programme....

A) the programme should be reoriented and implemented

B) a committee should be set up in every school

C) an assessment of the existing programme should be made

D) it should be made compulsory at school

(Q.No. 4 & 5) Answer the following questions in one or two sentences. 2x1=2

4. Why do we need physical activities ? Give two reasons.

5. Do you think some activities are needed to improve the physical

education programme in our Indian schools ? Suggest two activities ?

[ Contd...on 3rd page

3 R - 5

(Q.No. 6-10) Read the following poem ,'The Old Bridge'.

The old bridge has a wrinkled face

He bends his back

For us to go over

He moans and weeps

But we do not hear...

Sorrow stands in his face

For the heavy weight and worry

Of people passing.

The trees drop their leaves into the water ;

The sky nods to him

The leaves float down like small ships

On the blue surface

Which is the sky.

He is not always sad :

He smiles to see the ships go down

And the little children

Playing on the river banks. - Hilda Conkling

(Q.No.6-10) Now answer the following questions. Each question has four



6. Why is the face of the old bridge full of sorrow ?

A) for the leaves float down

B) for the little children playing on the river

C) for the trees drop their leaves into water

D) for the heavy weight and sorrow of people passing

7. What does the word "moans" mean ?

A) moves head up and down B) low sounds of sorrow

C) happy mood D) irritated

[ Turn Over

R - 5 4

(Q.No. 8-10) Answer the following questions in one or two sentences. 3x1=3

8. How can you say that the old bridge is not always sad ?

9. What does the old bridge look like ?

10. What feelings do you get whenever you see an old bridge ?

(Q.No. 11-15) Read the following passage.

Newspapers are a form of written publication that contains news,

information and advertising. Newspapers hold up-to-date information

about politics, Economics, sports, entertainment, crime, business and

society. There are several advantages that newspapers have over other

media of information and entertainment. There are reliable and cheap

source of information. As the cost of newspapers is negligible, they can

be bought even by those who are not well-to-do. Another advantage of

newspapers is that they can be read even if one is on the go. It does

not require any special effort to carry a newspaper when one is travelling

by bus or train. The extreme portability of newspaper makes them a

popular and convenient source of information. Infact newspapers are

specially offered to passengers when they embark on long haul flights.

Newspapers help us to keep abreast of what is happening, not

only in our town or country, but in every nook and corner of the globe.

They help in improving language skills. Further, they are a good source

of entertainment too. Lakhs of people are avid readers of the cartoons

that are published in newspapers daily. The crossword puzzles and

Mathematical puzzles like Sudoku keep one engaged for hours.

(Q.No. 11-13) Now answer the following questions. Each question has four



11. Pick out the one which you can't find in the newspapers......

A) Video Games B) Cartoons

C) Puzzles D) Articles


5 R - 5

12. Newspapers is a convenient source of information because....

A) it is easy to carry

B) it is cheaper than any other reading material

C) we can carry with less effort

D) all the above THREE

13. The idiom "keep abreast of" means......

A) old B) out-dated

C) stale D) up-to-date

(Q.No. 14 & 15) Answer the following questions in one or two sentences. 2x1=2

14. Newspaper plays a vital role in your academic and professional

studies. Comment on it.

15. How do the newspapers help in language skill ?

Section - B

Vocabulary and Grammar (10 Marks)

(Q. No.16-18) Read the passage given below focussing on the parts that are

underlined and numbered.

On Christmas day, in the year 1642, (16) Issac Newton was born

at a small village of Woolsthorpe, in England. (17) He was brought up by

his grandmother. She was very kind to him and sent him to school. (18)

In his early years Issac did not appear to be a very bright scholar, but

was chiefly remarkable for his ingenuity in all mechanical occupations.

Now, complete the following and write them in your answer booklet. 3x1=3

16. Frame a question using "Where" ...................

17. Combine the sentences using "Who" ............

18. Re-write the sentence using "yet" ................

[ Turn Over

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(Q. No.19-22) Complete the passage choosing the right words from those given

below it. Each blank is numbered and for each blank four choices (A), (B), (C)

and (D) are given. Choose the correct answer and write (A), (B), (C) or (D) in your

answer booklet. 4x½=2

The Taj Mahal is a beautiful monument built in 1631 by an Emperor

named Shah Jahan in memory of his wife Mumtaz Mahal. It is situated -

------ (19) -------- the banks of river Yamuna at Agra. It -------(20) ------

beautiful in the moonlight. The Taj Mahal is made up of white marble. In

front of the monument, there is -----(21) ------- beautiful garden known as

the Charbagh. Inside the monument, there are two tombs. These tombs are

of Shah Jahan ---------(22) ----- his wife Mumtaz Mahal. The Taj Mahal is

considered as one of the Seven Wonders of the World. Many tourists

come to see this beautiful structure from different parts of the world.

19. A) on B) in C) into D) across

20. A) look B) looks C) looking D) looked

21. A) a B) an C) the D) any

22. A) as B) and C) but D) since

(Q. No.23-28) Read the following passage and fill in the blanks choosing the correct

words given in the bracket. Write the answers in your answer booklet. 6x½=3

One of the most serious -------- 23 ------- (problems / problem)

confronting our country is that of a fast-growing population. Infact, it is

at the root of many ------- 24 -------- (another / other) problems. At the

moment, thanks to planning, we are ------- 25 -------- (ability / able) to

produce food ------ 26 -------- (but / and) cloth sufficient for our people

and even in some excess. But, --------- 27 ------- (if / while) the population

continues to grow at this rate it will not be long before the surplus turns

into a bare minimum and even a deficit. The position in regard to

accommodation is even now far ------- 28 ------- (from / off) satisfactory in

spite of our efforts.


7 R - 5

(Q. No.29-32) Complete the following passage with the right forms of the words

given in the brackets. Write the answers in your booklet. 4x½=2

Once upon a time there lived a cloth merchant in a village with

his wife and two children. They -------- 29 ---------(be) indeed quite well-

off. They had a ------- 30 -------- (beauty) hen which laid an egg every day.

It was not an ordinary egg, rather, a golden egg. But the man was not

satisfied with what he used to get daily. He was a get rich - trice kind

of a person.

The man wanted to get all the (gold) eggs from his hen --------- 31

at one single go. so, one day he ------ 32 ----- (think) hard and at last

clicked upon a plan. He decided to kill the hen and get all the eggs

together.

Section - C

Creative Writing (Discourses) (15 Marks)

(Q. 33) Imagine that you were one of the victims of cyclone which made you

cry and get help from others when you were working in Chennai as a

Computer Engineer.

Write a letter to your friend who resides in Hyderabad describing the troubles you

faced and the way you were rescued in 120 to 150 words. 10

Add details like :

Ø At what time, rain started ? Where were you at that time ?

Ø How did you spend during cyclone with your friends ?

Ø What is the condition of your room and locality ?

Ø How were the other people ?

Ø Did the flood change life ? How ?

Ø Who rescued you ?

Ø What did you learn from the incident ? ..... etc.,

(OR)

[ Turn Over

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Read the profile given below and write the Biographical sketch of Satyajit Ray in

120 to 150 words.

Name Satyajit Ray

Born 2nd May, 1921 in Calcutta (Kolkata) West Bengal

Parents Sukumar, Suprabha Ray

Childhood --- Studied in Ballygunge Government High Scool

--- B.A. from Presidency College Kolkata

Career --- started as a Commercial artist

--- Directed 36 films

--- First film "Pather Panchali"

Awards --- "Pather Panchali" won 11 International prizes

--- 32 Indian and many International Awards

--- BHARATH RATNA in 1992

Death --- 23rd April, 1992

(Q. 34) Imagine you were Cultural Secretary of your school. Your school

was started 25 years ago. Your school Headmaster, Staff, SMC

and students decided to arrange a programme on the occasion to

be conducted next week in your school.

Prepare an invitation showing the context, event details, cultural

programmes, etc., 5

* * * * *



MATHEMATICS - Paper I

(English Version)


General Instructions :

i) Read the following question paper and understand every question

thoroughly without writing anything. 15 minutes time is allotted

for this.

ii) Answer all the questions from the given four sections.

iii) Separate sheet will be provided for Section - IV (objective), write

answers on it and attach it to main answer sheet.

iv) In Section - III every question has an internal choice. Answer any

one alternative.

* * *

Section - I

Note: i) Answer all the following questions.

ii) Each question carries 1 mark. 7x1=7

1. Find the value of 3a, where a=log2

16.

2. Let A={x:x is a prime less than 10} and B={x:x is an odd

number less than 10} then find (A∩B) ?

[Turn Over

R - 15 2

3. The sum of the first five terms of an A.P is 240 then find its

third term.

4. Devender says "The polynomial x2+2 has no real zeroes."

Do you agree with his statement ? Justify your answer.

5. From adjacent figure, interpet

about 'A' and 'B'.

6. Where a, x and 'b' are non-zero positive reals and a, x, b are

in G.P, then express 'x' in terms of 'a' and 'b'.

7. Let O (0, 0) be the centre and P (x, y) be any point on the

circle, find the radius of the circle.

Section - II


ii) Each question carries 2 marks. 6x2=12

8. Find the 10th term of the series 3, 8, 13, 18, 23 ..........

9. Let A={x/x is a prime less than 10}, B={x/x is an even

number less than 10} find A−B and B−A.

10. Show that 5√ 2 is an irrational ?

[Contd...on 3rd page

A Bµµµµµ

3 R - 15

11. Let P, Q be the points of trisection of the line segment joining

the points A (3,0) and B=(−1,4). Verify that mid point of AB

is same as the mid point of PQ.

12. Find the volume of a cube whose side is (x+3) units,

(where x>0)

13. Draw the graph of y=x3, by taking x=−2, −1, 0, 1, 2.

Section - III

Note: i) Internal choice is given.


14. If log ( )= (log x +log y) then find the value of

[ + ]

(OR)

If (0.37)x=(0.037)y=100000 then find the value of [ − ]

15. Find the length and breadth of a rectangular park whose

perimeter is 80 m and area is 400 m2.

(OR)

A fraction becomes , if 2 is added to both the numerator

and denominator. If 3 is added to both the numerator and the

denominator, it becomes , find the fraction.

[Turn Over

x+y 9

x yy x

1 1x y

911

R - 15 4

16. If '2' is one of the zeroes of the polynomial then find other

zeroes.

(OR)

Find the lengths of medians of a ∆ ABC, whose vertices are

A=(7,−3) ; B=(5,3) and C=(3,−1).

17. Draw the graph of the polynomial x2−7x+10 and represent its

zeroes on it.

(OR)

Draw the graphs of the equations x−y+1=0 and 3x+2y−12=0.

Locate the point of intersection of the equations on the graph.

[Contd...on 5th page

5 R - 15

Student Name: ......................................................... Roll No:...............................

Section - IV

Note: i) Choose the correct answer.

ii) Each question carries ½ mark.

iii) Attach Section - IV with answer sheet. 10x½=5

18. The discriminant of x2+x+1=0 is [ ]

A) 3 B) 5 C) −5 D) −3

19. The number of subsets formed by using A={a,b} is [ ]

A) 16 B) 8 C) 4 D) 2

20. Observe the following.

i) Let a=(3q+r), where q ∈ Z+ and 0 ≤ r < 3 then a2 is

in the form of 27 m, where m ∈ Z+.

ii) H.C.F of 3 and 5 is 1.

Which of the following is correct ? [ ]

A) only (i) B) only (ii)

C) Both (i) and (ii) D) Neither (i) nor (ii)

21. The Geometric progression having common ratio as 2 is [ ]

A) 5, 10, 30, 60..... B) 5, 10, 40, 80, .....

C) 5, 10, 30, 90 .... D) 5, 10, 20, 40......

[Turn Over

X Class

R - 15 6

22. Let A, B be any two non empty subsets and A⊂B then [ ]

A) AUB=A B) A∩B=B C) AUB=B D) A∩B=B

23. If px+qy+r=0 (p2+q2 ≠ 0) and ax+by+c=0 (a2+b2 ≠ 0)

represents two co-incident lines then ......... [ ]

p q r p q r

a b c a b c

p q r p q r2

a b c a b c2

24. Let x=√2+√2+√2+......α then a quadratic equation in 'x'

is.............. [ ]

A) x2+x−2=0 B) x2−x−2=0

C) x2+x+2=0 D) x2−x+2=0

25. If = (q ≠ 0) ; where q=2m x 5n then a linear

equation in terms of 'm' and 'n' is ...... [ ]

A) m+n=5 B) m+n=1

C) m+n=6 D) m+n=4


229400

pq

A) ≠ ≠ B) R R

C) R ≠ D) R ≠

7 R - 15

26. "Y-co-ordinate is the multiple of X-co-ordinate of a point which

lies on a straight line passing through the origin." Express the

above statement in symbolic form. [ ]

A) y=m(x) B) y+x=c

C) ax+by+c=0 D) y=mx+c

27. The formula to find the sum to the first 'n' terms of an A.P

is given by ......... [ ]

A) Sn= [a+(n−1)d]

B) Sn= [3a+(n−1)d]

C) Sn= [2a+(n−1) d]

D) Sn= [2a+(n−1) d]

* * * * *

n2

n2

n2

n3



MATHEMATICS - Paper II

(English Version)


General Instructions :

i) Read the following question paper and understand every question

thoroughly without writing anything. 15 minutes time is allotted

for this.

ii) Answer all the questions from the given four sections.

iii) Separate sheet will be provided for Section - IV (objective), write

answers on it and attach it to main answer sheet.

iv) In Section - III every question has an internal choice. Answer any

one alternative.

* * *

Section - I


ii) Each question carries 1 mark. 7x1=7

1. A dice is thrown once. what is the probability of getting a

number greater than '4' ?

2. In a right angle triangle ABC, ∠B=900. If AB=28, BC=21,

then find the length of the side AC ?

3. If the surface area of a sphere is 616 sq.cm, find its

diameter ?

4. In the given figure is ∆ ABC~∆ AED ?

Justify your answer ?

[Turn Over

E

DC

B

A

R - 16 2

5. If the mode of the data is 2k−4. Then find the value of 'k' ?

3, 5, 6, 12, 6, 5, 8, 12, 6, 2k−4, 9, 12, 13

6. Express 'sin θ' in terms of 'cot θ'.

7. A.M. of 'n' observations in a data is '12'. If 4 is added

to each observation then find the new mean ?

Section - II



8. The hypotenuse of a right angled triangle is 6 m. more than

the twice of the shortest side. If the third side is 2 m. less

than the hypotenuse, find the sides of triangle.

1+ cos θ

1−sin θ

10. If sin C=sin A in a triangle ABC where ∠B=900, Explain

the relationship between sides AB and AC ?

11. Two cubes of each volume 64 cubic centimeters are joined

end to end. Find the total surface area of resulting cuboid ?

12. A contractor wants to setup a slide for the children to play

in the park. He wants to setup at the height of 1.5 mts.

and by making an angle of 450 with the ground. What should

be the length of the slide ?

[Contd...on 3rd page

9. Given cot θ=, then find the value of =?

3 R - 16

13. Draw a line segment of length 8.5 cm, and divide in the

ratio 2:3. (No need to write the steps for construction)

Section - III

Note: i) Answer any four in which internal choice is given.


cos2 320+cos2 480

sec2 500 − cot2 400

− 4 . tan 13 . tan 370 . tan 530 . tan 770.

(or)

B) In the given figure ABCD is a rectangle. If AB=40 cm,

BC=12 cm, and AF:EF=2:3, then find the length of FE is

centimeters ?

cos A 1+sin A

1+sin A cos A

(OR)

B) Prove that any line parellel to parellel sides of a trapesium

divides the non-parallel sides proportionally ( = )

[Turn Over

D A

CE B

F

D C

E F

A B

>>

> >

> >

AE BF

ED FC

14. A) Find the value of

15. A) Prove that + = 2 sec A.

[ ]

R - 16 4

16. A) Two men on the same side of a tall building notice the angle of

elevations to the top of the building are 300 and 600 respectively.

The height of the building is 66 mts. Find the distance between

the two men ?

(OR)

B) A circus tent is cylindrical upto a height of 3 mts. and conical

above it. If the diameter of its base is 105 mts. and the slant

height of the conical part is 53 mts. Find the total canvas used in

making the tent ?

17. A) Draw a line segment of length AB=9 cm, taking A as centre,

draw a circle of radius 4 cm, and taking B as centre, draw

another circle of radius 3 cm. Construct tangents to each

circle from the centre of the other circle ?

(OR)

B) The following distribution gives the daily income of 50

workers of a factory as given below.

Daily income 100-120 120-140 140-160 160-180 180-200

No. of workers 12 14 8 6 10

For the above data, prepare greater than cumulative frequency

table and draw Ogive curve ?


5 R - 16

Section - IV

Note: i) Choose the correct answer.

ii) Each question carries ½ mark.

iii) Attach Section - IV with answer sheet. 10x½=5

18. Cos 480 − sin 420 = [ ]

A) 1 B) 900

C) 0 D) 60

19. The probability of getting a perfect square number from

1 to 10 is [ ]

A) B)

C) D) 0.2

20. The length of the tangent drawn to a circle with radius

'r' from a point 'P' which is 'd' units from the centre is [ ]

A) √ d2+r2 B) √ d2 − r2

C) √ d.r D) √ d+r

21. In an equilateral triangle ABC, AD ⊥ BC, then [ ]

A) 5 AB2=4 AD2 B) 3 AB2=4 AD2

C) 4 AB2=3 AD2 D) 2 AB2=3 AD2

[Turn Over

X Class

Student Name: .......................................................... Roll No:...............................

310

25

R - 16 6

22. A cylinder, a cone, a hemisphere are of equal base and

have the same height. Then the ratio of their volumes [ ]

A) 3:1:2 B) 1:2:3

C) 3:2:1 D) 3:4:5

23. The difference between area of the circle and

circumference of the circle is [ ]

A) πr(r−2) B) ℓ=√ d2−r2

C) πr2− D) 3πr2

24. Total surface area of a hemisphere is [ ]

A) 2πr2 B) 3πr2

C) 4πr2 D) πr3

25. In adjacent figure,

DE II BC, then value

X= [ ]

A) 5 B) √ 60

C) D) none

26. If '6' is the mean of 4,x,y, Then the mean of x.y,10 is --- [ ]

A) 6 B) 8 C) 10 D) 12


A

E

B C

D2x

+2

4x

6

10

> >

> >

35

πr2

2

7 R - 16

27. The ratio of a flag post and its shadow is 1:√ 3. If it is observed

from the end point of the shadow, the angle of elevation

is ............. [ ]

A) 600 B) 300

C) 450 D) 900

* * * * *

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NLD - Pre-Final (All subjects)files.dcebhyderabad.webnode.in/200000685-9228e93606/SSC Practice Paper - English, Maths...R - 4 2 NHK Radi o : How is peace connected t o a good envir