WORK-SHEET

SUB- BIOLOGY CLASS- XI

CH- 1 Diversity of living world

Q 1 Which of the following characteristics is not required for the life of an individual organism to

Continue-

a) To be organized b) To respond b) To metabolise d) To reproduce

Q 2 Which of the following statement is false about all living things?

a) Living things must obey the law of chemistry and physics

b) Living thing show biological organization and common characteristics of life

c) Emergent properties can be used to distinguish living from nonliving

d) Living things are only made of organic element whereas nonliving are made of inorganic element

Q 3 Which of the following forms of energy is not correctly matched?

a) Kinetic energy: fat molecule

b) Kinetic energy: movement of muscles

c) Chemical energy: glucose

d) Potential energy: ATP

Q 4 Indian botanic Garden is situated at-

a) Lucknow b) Kolkata c) Mumbai d) Chennai

Q 5 Fill in the blanks-

a) _____________________ represents a collection of living plants designed chiefly illustrate

relationship within plant groups.

b) _____________________ is a detailed treatment of a taxon including all significant information

concerning the taxon.

c) National Botanic Gardens, Lucknow is presently known as _____________________________.

d) An ______________________ is a place where plant material is preserved using various

techniques and arranged in the sequence of an accepted classification.

e) _______________ is a place where wild animals are exhibited in capcivity.

Q 6 State whether statement is true or false, If false correct it.

a) A display garden that concentrates on herbs is reffered as an arboretum.

b) Botanical gardens remain important for their records to local fauna and as basis for continued

monographic work.

c) Manuals do not necessarily indicate place of deposition of plant specimens included.

d) Museums serve an important role as centres of documentation.

Q 7 Write scientific names of the following-

a) Tiger _____________________________

b) Potato ____________________________

c) Brinjal _____________________________

d) Mango ____________________________

Q 8 Complete the following charts-

Taxonomic categories Man

Kingdom _____________________

____________ Chordata

Class _____________________

______________ Primata

______________ _______________________

Genus Homo

________________ sapien

Q 9 Define-

a) Key

b) Systematics

Q 10 Write short note on – a) herbarium b) key c) botanical garden

WORK-SHEET

SUB- BIOLOGY CLASS- XI

CH- 2 BIOLOGICAL CLASSIFICATION

Q 1 Match the following-

a) Cocci 1) true bacteria

b) Eubacteria 2) archaebacteria

c) Chemoautotrophs 3) spherical shape

d) Halophile 4) food from inorganic substances

Q 2 Fill in the blanks-

a) __________________ are small stranded circular RNA agents which infect plants.

b) Virus which infect bacterial cellis called ______________________________.

c) ___________________ a kind of archaebacterial, found in hot sulphur springs.

d) _______________ a form of bacteria which resembles with sign of comma.

e) The algae responsible for red tides _________________________.

f) A protozoan locomotion by one of three structures ________________ ,

_______________ ,or _______________________.

g) A fungus ___________________ is important for its use in genetic studies.

Q 3 Write true or false-

a) Diatoms have silica and cellulose in their walls.

b) All photosynthetic Protista possess chlorophyll a.

c) Plasmodium is a slime mould.

d) Most protozoans are photosynthetic.

e) Malaria is caused by female anopheles.

Q 4 Give the scientific term for-

a) A cell with two haploid nuclei of different mating types.

b) The symbiotic association of a fungus with the roots of higher plants.

c) Fruiting body of ascomycetes.

d) Algal component of lichen.

e) Multinucleated hyphae without septa.

f) Smallest living organism.

g) Protein rich layer present in euglenoids.

h) Classification based on evolutionary relationship.

i) Specialized cells present in some bacteria to fix nitrogen.

Q 5 Differentiate b/w-

a) Photoautotrophs and chemoautotrophs

b) Halophiles and thermoacidophiles

c) Ascomycetes and basidiomycetes

d) Virus and viroids

Q 6 Draw diagrams of a) different types of bacteria b) Nostoc

Q 7 Write short notes on virus

Q 8 What do you mean by partial heterotrophs? Give two examples of them.

Q 9 Write two uses of archaebacteria.

Q 10 How classification system have undergone several changes over a period of time?

Discuss.

WORKSHEET # 1 ENGLISH

READ THE PASSAGE GIVEN BELOW:-

1.Suspense was over when my high school results finally came out. But I was upset. I hadn’t done

as well as I had expected. My father tried to console me. “Why are you worried ? You have done

very well, my dear.” “No, I haven’t, Baba,” I protested, controlling my tears, and wondering if I

had disappointed him. “It doesn’t really matter,” he assured me. “Do you know what I got when I finished

high school ?” I looked into Baba’s face and waited for the answer to his own question. “You know,”

he told me. “I’ve never told you this. I got just a third division. But, look at me, I’ve done quite well.” Baba

got a third division !

I was almost in shock, but the thought of my having done a lot better than that made me realize that I

had no reason to complain. I certainly felt better ! “Everything is under control !” said Baba,

smiling. That was his favourite phrase. Posted in Kolkata, my father was then a senior official in

the Indian Railway Service, and an expert in goods traffic operations. He was soon to become a

director with the Railway Board. By the time he retired in 1981, he was general manager of the

Central Railways. By the time Baba passed away in November 2000, his name had found place in

several hearts as well. He was open, easy to know, and full of life. We were extremely close, but

I had so much more to learn about him from many things I came to know after his death.

2. In September 2000, he was in hospital for treatment of cancer and given just two months to live.

When he found out, his reaction was an extremely rational one. He asked me to fetch files from his

cupboard, so that he could explain the details of my mother’s pension. He also dictated his will from his

hospital bed. “Everything is under control !” After Baba’s death, Satish, our old family retainer, was

inconsolable. We tried to cheer him up. “Your Baba had scolded me only once in all these years !”

he cried. Satish pointed to the watch on his left hand. “I had been coming late for work and

everyone in the family was complaining about it,” said Satish. “Then, one day, your Baba gave me

this watch and told me, ‘now that you have a watch, you can’t be late.’” That was the scolding Satish

received. On the fourth day after Baba’s death, my sister and I had to perform a ceremony. Since

several relatives were expected, we decided to order lunch from a caterer in our locality, reputed

for his home cooked food. But, when we went to pay the owner, we got a surprise. He refused

to accept any money ! “When I wanted to start my catering business, it was your father who lent me

money,” he told us. It seems Baba never asked for it back. Now, after four or five years, the caterer

wanted to repay that debt.

Of course, we made him accept the full payment for the fine food and service. ‘It was Baba’s gift and it

ought to remain so,’ I told him.

3. Some days later, there was yet another piece of information as we were preparing for the main

ceremony. Vikram, my brother drove me to the local market. On recognizing our car, the parking

assistant, in his twenties, came running towards us and asked why he had not seen its owner for long.

We had to break the news to him and to our utter surprise, he started crying. We were really surprised

by this reaction from a stranger – until the man told us that Baba used to pay his daughter’s school

fees and buy her books. It seems, it was on my father’s advice that he’d even started sending the child

to school. More than three years after Baba’s death, as we were looking into Baba’s personal things,

we came across an old file with Baba’s certificates and I found among them, his high school diploma

from 1937, the one he’d told me about 30 years earlier, about the third division that had made no

difference in his life or career. It had made me see beyond mere marks and first classes as the main

road to success. But there was one more fact. Baba had actually got a first division, a rare

achievement in his day. Today, years after his passing, when I think of Baba, I see a man who was

able to sympathise with others so easily and touch their lives in such a special way.

1.1. On the basis of your understanding of the passage answer the following questions by choosing

the most appropriate options : 1 × 4 = 4

(a) Why was the narrator in tears when her school results came out ?

(i) She did better than she expected.

(ii) She did not do as expected.

(iii) Her Baba had not done well.

(iv) Her Baba had done better than her.

(b) On knowing the result ,how did the narrator’s father react?

(i) He scolded her.

(ii) He beat her.

(iii) He consoled her.

(iv) He made fun of her.

(c) Why did the narrator say that she had nothing to complain ?

(i) She had done better than her father.

(ii) She had done as well as her father.

(iii) She had topped in her school.

(iv) She had not worked hard at all.

(d) Choose the option that is not correct :

(i) Baba was a senior official in the Indian Railway Service.

(ii) Baba was to become a director with the Railway Board.

(iii) Baba was the general manager of the Central Railways.

(iv) Baba had got a third division in high school.

1.2 Answer the following : 1 × 6 = 6

(a) Why did the narrator’s sick father want her to fetch files from his cup- board ?

(b) Why did Baba buy Satish a watch ?

(c) Why did the caterer not want to take money from the narrator ?

(d) Why were the narrator and her brother surprised on meeting the parking assistant ?

(e) Today years after his passing away what has the narrator realized about her Baba ?

(f) What was the story that Baba had invented on the day the narrator’s results were published

1.3 Find words from the passage that mean the same as the following: 1x2

(i) Tension /anxiety (para1)

(ii) servant (para 2)

WORKSHEET # 2 ENGLISH

1. You are Manav /Manasi working as a Students’ Representative for the School

Development Committee .The committee is going to meet next week to prepare a

calender of activities for the school for the year 2018-2019 . To ensure that you play your

role effectively at the proposed meeting you have decided to invite the students’

suggestions on this subject. Write a notice in this regard in not more than 50 words to be

put up on your school notice- board.

2. Rishi Roy is the Head Boy of Vasant Public School .On April 28 ,he had a meeting with

the Principal and Discipline Incharge of the school regarding the selection and the

interviews of prefects for the current academic year It was decided that students would

face two interviews -one with a panel of teachers and the final one with the Principal.

Besides ,only those students who scored above 80%in the previous academic year would

be eligible for candidature . Later he drafted a notice informing interested students of classes X to XII to give their

names. Draft Rishi ‘s notice giving necessary details in not more than 50 words.Put the

notice in a box.

3. You are Rohit/Ritu ,Secretary ,Welfare Association ABC Colony, Chennai .Write a

notice in not more than 50 words to be placed on the noticeboard informing the residents

that there would be no water supply for two days in your colony due to major pipe-line

repair work.

4. You are Amit/ Amrita of Banglore. You are disturbed at the non-availability of essential

commodities in the Fair Price shops of your area. Write a letter to the Editor of “The

Hindu” drawing the attention of the authorities to the irregularities in the Fair Price

shops. (Word limit 150 words)

5. You are Rohit/Rohini of Mahatma Gandhi Road, Delhi. You feel depressed at the poor

performance of India at Olympics and feel that poor facilities and the discouraging

attitude of the government are the root cause. Write a letter to the Editor, “The Times of

India” expressing your views on how the standard of performance in the sports can be

improved in India.

6. Write a letter to the Editor, ‘The Indian Express ’drawing attention of the concerned

authorities towards the misused and poorly maintained subways in Chennai. Give your

suggestions. You are Ram/ Rani living at 10, Kamraj Street, Chennai.

7. Write a letter to the Editor of ‘Deccan Herald’ about the poor city bus services and the

indifference of drivers and conductors towards the traffic rules. Also suggest ways to

improve the services. You are Mohit/Mohini of No. 2,Clement Town ,Banglore.

WORKSHEET---- 3 ENGLISH

THE PORTRAIT OF A LADY

(1) Give a pen-picture of the narrator’s grandfather as he appeared in the portrait ?

(2) Explain: ‘Old ,so terribly old that she could not have grown older,…….’

(3) How could the grandmother be ‘beautiful’ without being ‘pretty’?

(4) What was the turning point of their friendship?

(5) The author’s grandmother was a religious person. Give three instances to substantiate it?

(6) How did the sparrows express their sorrow at the death of the grandmother?

(7) The word ‘ hobble’ means to walk with difficulty because the legs and feet are in bad

condition.

Explain the manner of walking of the words given:-

Shuffle, stride ,waddle, paddle ,swagger, trudge, slog

(8) “As the years rolled by we saw less of each other”.Why?

(9) Notice the following uses of the word ‘tell’in the text:

(a) Her fingers were busy telling the beads of her rosary.

(b) I would tell her English words and little things of Western science and learning .

(c) At her age one could never tell.

(d) She told us that her end was near.

(10)Given below are four different sense of the word ‘tell’.Match the meanings to the

uses listed above .

1.make something known to someone in spoken or written words

2.count while reciting

3.be sure

4.give information to somebody

Worksheet-4 ENGLISH

A Photograph

1. Read the extract and answer the questions that follow:-

Some twenty –thirty –years later

She’d laugh at the snapshot.”See Betty

And Dolly ,she’d say, ”and look how they

Dressed us for the beach.”The sea holiday

Was her past, mine is her laughter .Both wry

With the laboured ease of loss.

(A) Who is ‘she ‘ in the passage ?

(B) Who were Betty and Dolly ?

(C) Why did the mother laugh at the snapshot?

(D) What is the irony for both of them?

(E) Explain: ’laboured ease of loss’.

2. Answer the following questions

(A) ‘The sea ,which appears to have changed less, washed their terribly transient feet’

How does the poet contrasts the girls’ ‘terribly transient feet’ with the sea?

(B) What does the cardboard show?

(C) Describe the three girls standing at the beach?

(D) How did the poet’s mother die?

(E) What has she to say about her mother’s death?

(F) Explain “ The sea holiday was her past,mine is her laughter.”

WORKSHEET- 5 ENGLISH

WE’RE NOT AFRAID TO DIE……

Q. 1 ANSWER THE FOLLOWING QUESTIONS BRIEFLY

(A) Justify the title; ‘We’re Not Afraid to Die…….’

(B) How did they spend the first part of the journey?

(C) Why did the search for the island begin?

(D) How was the respite short-lived?

(E) What did Jonathan say to his father about dying?

(F) Why did Mary and the narrator feel that the end was near?

(G) What precautions did the captain take to save the boat?

(H) “ We’re Not Afraid to Die” is a saga of patience and bravery. Comment.

(I) Why did Jonathan ask for a hug and call him the best daddy and the best captain

in the world?

(J) How did Suzzanne hurt herself and how did she bear the injury?

(K) How did the story suggest that optimism helps to endure ‘the direst stress’?

Q. 2 The following words used in the text as ship terminology are also commonly used in

another sense .In what contexts would you use the other meaning?

knot, stern , boom, hatch, anchor

Q. 3 The following three compound words end in –ship. What does each of them mean?

airship, flagship, lightships

WORKSHEET- 6 ENGLISH

THE SUMMER OF THE BEAUTIFUL WHITE HORSE

ANSWER THE FOLLOWING QUESTIONS

1. What is nostalgia? Describe the nostalgic beginning of the story.

2. Describe the Garoghlanian family. Why and what were the members of the family proud

of?

3. Why couldn’t the narrator believe that his cousins Mourad couldn’t have bought the

horse?

4. Why did Aram conclude that Mourad had stolen the horse?

5. Why did the narrator believe that stealing a horse for a ride was not the same thing as

stealing?

6. Who had the crazy streak in the family and who was the natural descendant of that streak

in the tribe?

7. Describe the first experience of the narrator when he rode the horse alone?

8. Why did the narrator insist on keeping the stolen horse for a year? What did Mourad

think about it?

9. Where did they hide the horse and why?

10. Did the boys return the horse because they were conscience-stricken or because they

were afraid?

CLASS XI (PHYSICS) PHYSICAL WORLD & MEASUREMENT (ASSIGNMENT 1)

Very short answer questions

Q1.What does the word RADAR stand for?

Q2.Write the number of significant figures in the following (i) 0.0035m (ii) 6.32 × 106

Q3. Calculate the dimensional formula for universal gravitational constant .

Q4 . In the equation y = a sin ( ω t – k x ) , t and x stand for time and distance respectively . Obtain

the dimensional formula for ω and t .

Short answer questions

Q5.The density of mercury is 13.6g cm-1 in CGS system.Find its unit in SI unit.

Q6. Explain parallax method for measuring the distance of a nearby star.

Q7. Find the dimensions of (a x b) in the equation

E =𝑏−𝑥2

𝑎𝑡

Where E is energy , x is distance & t is time

Q8. In Vander Wall’s equation

( P +𝒂

𝑽𝟐 ) (V- b) = R T

What are the dimensions of ‘a’ & ‘b’ ? Here P is pressure , V is volume , T is temperature and R is gas

constant .

Q9 . Obtain an expression for the centripetal force F acting on a particle of mass m moving with

velocity v in a circle of radius r . Take dimensionless constant K =1 .

Q10 .The escape velocity v of a body depends upon

( i ) the acceleration due to gravity of the planet and

( ii ) the radius of the planet R

Establish dimensionally the relationship between v , g and R

Q 11 . If the length and time period of an oscillating pendulum have errors of 1% and 2 %

respectively , what is the error in the estimate of g ?

Q 12 . A body travels uniformly a distance of (13.8 ± 0.2 ) m in a time ( 4.0 ± 0.3 ) s . Calculate its

velocity with error limits . What is percentage error in velocity ?

Where T is time period , G is gravitational constant , M is mass and r is radius of orbit .

Q13 . A planet moves around the sun in nearly circular orbit . Its period of revolution ‘T ‘ depends

upon :

(i) Radius r of orbit .

(ii) Mass M of the sun

(iii) The gravitational constant G

Show dimensionally that T2 = r3

Q14. The frequency ν of vibration of a stretched string depends upon :

( i) its length l,

(ii) its mass per unit length m and

(iii) the tension T in the string .

Obtain dimensionally an expression for frequency ν .

Q15 .A physical quantity X is related to three observables a, b , c , as

X = √𝑎 𝑏2

𝑐2

The errors of measurement in a , b & c are 2% , 1 % and 3% respectively . What is the percentage

error in the quantity X ?

Q16.Assuming that the mass M of the largest stone that can be moved by a flowing river depends upon

‘v’ the velocity, ‘ρ’ the density of water and on ‘g’ the acceleration due to gravity . Show that M varies

with the sixth power of the velocity of flow.

Q17.If momentum (P), area (A), and time (T) are taken to be fundamental quantities , then what is the

dimensional formula of energy in the form of P, A & T .

Q18.A physical quantity ‘ X’ is related to four measurable quantities a, b, c and d as follows:

X=a2b3c5/2d-2

The percentage error in the measurement of a, b, c and d are 1%,2%,3% and 4% ,respectively .What is

the percentage error in quantity X ?

Q19. Write the dimensions of a/b in the relation F =a x1/2 + b t2 where F is force , x is distance and t

is time .

Q20 . Check by the method of dimensions whether the following equations are correct :

( i ) E = mc2

( ii ) T = 2π√𝑙/𝑔

( iii ) v = √𝑃/𝜌 ,where v = velocity of sound , P = pressure and ρ = density of medium .

( iv ) ν = 1

2𝑙√𝑇/𝑚 ,where ν = frequency of vibration, l = length of the string , T= tension in the string

& m = mass per unit length .

Q21. The diameter of a wire as measured by a screw gauge was found to be 0.026cm , 0.028 cm ,

0.029 cm, 0.027cm , 0.024 cm , and 0.027 cm . Calculate

( i) mean value of the diameter

(ii) mean absolute error

( iii) relative error

( iv ) percentage error .

Also express the result in terms of absolute error and percentage error .

Q22 . For the estimation of Young’s modulus :

Y = 4 𝑀𝑔 𝐿

𝜋 𝑑2𝑙

For the specimen of a wire , following observations were recorded :

L = 2.890, M =3.00 , d = 0.082 , g = 9.81 , l =0.087 .

Calculate the maximum percentage error in the value of Y and mention which physical quantity

causes maximum error .

Q23 .Using the principle of homogeneity of dimensions , find which of the following is correct :

( i ) T2 = 4 𝜋2𝑟2

( ii ) T2 = 4 𝜋2𝑟3

𝐺

( ii ) T2 = 4 𝜋2𝑟3

𝐺𝑀

CLASS XI – PHYSICS – (ASSIGNMENT No .2)

CHAPTER -MOTION IN A STRAIGHT LINE

Very short answer questions

Q1. Under what condition the average velocity equal to instantaneous velocity?

Q2. Which of the two; velocity and acceleration, gives the direction of motion of the body.Explain it with

the help of an example.

Q3.What does the slope of velocity –time graph represent ?

Q4.A body moves along a quadrant of a circle of radius ‘r’.Calculate the displacement and the distance

travelled.

Q5.Two trains 120m and 80m in length are running in opposite directions with velocities 42 kmh-1 and

30 kmh-1. In what time they will completely cross each other ?

Short answer questions

Q6.Define the following term:

(a)average velocity

(b)Instantaneous velocity

(c) average acceleration

(d) Instantaneous acceleration

(e)Relative velocity

Q7. Draw position –time graphs for two objects moving along a straight line ;when their relative velocity

is (i) zero (ii) positive and (iii) negative .

Q8 .Derive an equation for the distance covered by a uniformly accelerated body in nth second of its

motion . A body travels half its total path in the last second of its fall from rest , calculate the time of its

fall .

Q9. An object is in uniform motion along a straight line . What will be position –time graph for the

motion of the object if

(a) xo = +ve , v = +ve

(b) xo = +ve , v = -ve

(c) xo = -ve , v = +ve

(d) xo = -ve , v = -ve

Q10.Two straight lines drawn on the same displacement –time graph make angles 30o and 60o with time

–axis respectively .Draw displacement- time graph . Which line represents greater velocity ? What is the

ratio of the two velocities ?

Q11 .An object has uniformly accelerated motion . The object always slows down before the tlme, when

its velocity becomes zero . Prove this statement graphically , when

(a)u = + ve , a = + ve

(b) u = - ve , a = + ve

(c) ) u = + ve , a = - ve

(d) u = - ve , a = - ve

Q12.Speed of two identical cars are u and 4u at a specific instant. Calculate the ratio of the respective distances at

which the two cars stopped from that instant.

Q13 . A body travels a distance of 20 m in the 7th second and 24m in 9th second . How much distance

shall it travel in the 15th second ?

Q14 Draw the following graphs for an object projected upward with a velocity vo , which comes back to

the same point after some time :

( i )Acceleration versus time graph.

( ii )Speed versus time graph .

(iii)Velocity versus time graph .

Q15 .Points P , Q and R are in a vertical line such that PQ = QR . A ball at P is allowed to fall freely .

What is the ratio of the times of descent through PQ and QR ?

Q16.A car moves a distance of 200m. It covers the first half of the distance at speed of 40km/h and

second half of the distance at a speed ‘v’. The average speed is 48km/h. Find the value of ‘v’.

Q17.Two particles ,one with constant velocity 50 m/s and the other with uniform acceleration 10ms-2,

start moving simultaneously from the same place in the same direction. After how much time they will

be at a distance of 125m from each other.

Long answer questions

Q18 .Derive the following equations of motion for uniformly accelerated motion from velocity-time

graph :

(a) 𝑣 = 𝑢 + 𝑎𝑡

(b) 𝑠 = 𝑢𝑡 +1

2𝑎t2

(c) 𝑣2 − 𝑢2 = 2𝑎𝑠

Q19 .The displacement (in metre) of a particle moving along x-axis is given by 𝑥 = 18𝑡 + 5𝑡2

Calculate: (i) the instantaneous velocity at t = 2 s,

(ii)average velocity between t =2 s and t = 3 s ,

(iii)Instantaneous acceleration .

Q20 . A motor car,starting from rest ,moves with uniform acceleration and attains a velocity of 8ms-1in

8sec.It then moves with uniform velocity and finally brought to rest in 32 m under uniform retardation.

The total distance covered by the car is 464 m. Find(i)the acceleration (ii)the retardation (iii) the total

time taken. Draw velocity –time graph also.

Q21.A hundred metre sprinter increases her speed from rest uniformly at the rate of 1m/s2 upto three

quarters of the total run and covers the last quater with uniform speed . How much time does she take to

cover the first half and the second half of the run ?

WORK SHEET

RELATION & FUNCTION

CLASS- XI

SHORT ANSWER QUESTION

1. Given R = { (x, y) : y = x- 3, x, y ∈ Z}. State which of the ordered pairs belong to the

relation: (i) (5, 2), (ii) (1, 2) (iii) (0, -3) (iv) (7, -4) (v) (-4, 1).

2. Find domain and range of the relation R = {(x, y): y = 𝑥 +6

𝑥, x, y ∈ 𝑁, 𝑥 < 6}.

3. If (x – 1, y + 3) = (2, x + 4), find x and y.

4. Find the range of the function f(x) =|𝑥−5|

5−𝑥.

5. If A × B = {(a, 1), (a, 2), (b, 1), (b, 2)}. Find the sets A and B and hence find B × 𝐴.

6. Let A = {1, 2, 3, 6, 9, 18}, find the relation R = {(a, b): a, b ∈ 𝐴 and a is a multiplication}.

LONG ANSWER QUESTION

7. Let A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6},

find (i) A × (𝐵 ∪ 𝐶), (ii) (𝐴 × 𝐵) ∪ (𝐴 × 𝐶).

8. Re define, the function given by 𝑓(𝑥) = |𝑥 − 1| + |1 + 𝑥|, −2 ≤ 𝑥 ≤ 2.

9. A relation R is defined on W, R = { (x, y): x2+ y2=25, x, y∈ 𝑊}. Find the domain and range

of R.

10. Find the domain of the following real functions;

i. 𝑓(𝑥) =𝑥2−4

𝑥−2 , ii. 𝑓(𝑥) =

3𝑥

28−𝑥 .

11. If 𝑓(𝑥) = 𝑥2 − 3𝑥 + 1, find x such that 𝑓(𝑥) = 2 𝑓(𝑥).

12. If (𝑥) = 𝑥 − 1

𝑥 , prove that (𝑓(𝑥))

3= 𝑓(𝑥3) + 3𝑓 (

1

𝑥).

13. Find the domain of the function f defined by (𝑥) = √4 − 𝑥 +1

√𝑥2−1 .

14. If 𝑓(𝑥) = 2𝑥 + 5 𝑎𝑛𝑑 𝑔(𝑥) = 𝑥2 − 1 are two real valued functions, find the following

functions:

(i) f+ g , (ii) f-g, (iii) fg, (iv) f/g, (v) g/f, (vi) 3g +2f2.

15. Draw the graph of the function 𝑓(𝑥) = {1 + 2𝑥, 𝑥 < 03 + 5𝑥, 𝑥 ≥ 0

. Hence find its range.

WORK SHEET

SETS

CLASS XI

1. Write the following in roaster form A = { x : x is a positive integer less 10 and 2x – 1 is

an odd number}

2. Given that N = {1, 2, 3 . . . . 100}, then write the subset B of N Whose elements are

represented by x + 2 where x ϵ N.

3. From 50 students taking examination in Mathematics , Physics and Chemistry each of

the student has passed in at least one of the subject , 37 passed Math’s , 24 passed physics

and 43 chemistry . At most 19 passed maths and physics, at most 29 Math’s and

chemistry and at most 20 physics and chemistry. What is the largest possible number that

could have passed all three examinations?

4. If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all

numbers represented by (i) 4n (ii) n + 6 (iii) 𝑛

2 (iv) n – 1.

5. Let U be the set of all boys and girls in the school, G be the set of all girls in the school,

B be the set of all boys in the school and S be the students in the school who take

swimming.Some, but not all, student in school takes swimming. Draw a Venn diagram

showing one of the possible interrelationships among sets U, G, B and S.

6. Let T = {x:𝑥+5

𝑥−7 – 5 =

4𝑥−40

13−𝑥 } . Is T an empty set? Justify

7. In a town of 10000 families 40 % families buy newspaper A, 20 % families buy

newspaper B , 10 % families buy newspaper C , 5 % families buy A and B , 3 % buys B

and C and 4 % buy A and C . If 2 % families buy all the three newspaper , then find

(a) The number of families which buy newspaper A only.

(b) The number of families which buy none of A , B and C .

8. In a group of 50 students the number of students studying French , Sanskrit and English

were found to be as follows

French – 17, English – 13, Sanskrit – 15

French and English – 9

English and Sanskrit – 4

French and Sanskrit – 5

English, French and Sanskrit – 3

Find the number of student who study

(i) French only

(ii) English only

(iii) Sanskrit only

(iv) English and Sanskrit but not French

(v) French and Sanskrit but not English

(vi) French and English but not Sanskrit

(vii) At least one language

(viii) None of the language

9. In a group of 65 people 40 people like nutrition Indian food , 10 like both nutrition and

fast food. How many like only fast food? What is you opinion about the set of people .

10. Let set A represent people strictly following the principles of Gandhi ji and set B

represent the people following the path of violence Can you say A and B are mutually

exclusive ? Which is your favorite set out of two? Why?

11. Represent the set of letters of the words LIFE SKILLS in roaster form ?

12. Write set of four life skill which You like to acquire?

13. A = {2 , 1 , 4} B = {-1 , 5 , 1} C = {1 , 9}, D = {x ϵ N : x < 3 } , E = {x : x is an odd

natural number greater than 3 }, find 𝐴 ∪ (𝐵 ∩ 𝐶), 𝑎𝑛𝑑 𝐵 ∪ 𝐷.

14. Let U = {x ϵ N : x ≤ 9} A {x : x is an even number 0 <x< 10} B {2 ,3 , 5, 7}. Verify

that (A∪ B)’ = A’ ∩ B’.

15. Prove that 𝑛(𝐴 ∪ 𝐵) ∪= 𝑛(𝐴) + 𝑛(𝐵) − 𝑛(𝐴 ∪ 𝐵).

CLASS XI CS/IP

Answer the following :

1. Python data types :

(i) int

(ii) float

2. Writes rules to name a variable

3. WAP to input three int variables and print the largest value. Draw flowchart.

4. WAP to print even numbers less than n. Value of n is input by user. Draw flowchart.

5. WAP to print a table. The value of n is input by user.

6. WAP to spell a single digit number. Draw flowchart.

7. Distinguish between application software and utility software.

8. In how many ways a computer store negative number? Explain.

9. Explain followings:

(i) ASCII code.

(ii) Compiler

(iii) Interpreter

(iv) Safely browsing the web

(v) Identity protection

(vi) Appropriate usage of social network

(vii) Adware, malware

(viii) Trojan

(ix) Secure connections

(x) Eavesdropping

(xi) Phishing

(xii) Identity verification

10. Number Conversion between - binary, octal, decimal and hexa-decimal numbers.

11. Representation of negative numbers in memory.

I. Multiple Choice Questions (Type-I)

CHEMISTRY CLASS XI

1. Two students performed the same experiment separately and each one of them recorded two

readings of mass which are given below. Correct reading of mass is 3.0 g. On the basis of given data,

mark the correct option out of the following statements.

Student

Readings

A 3.01 2.99

B 3.05 2.95

(i) Results of both the students are neither accurate nor precise.

(ii) Results of student A are both precise and accurate.

(iii) Results of student B are neither precise nor accurate.

(iv) Results of student B are both precise and accurate.

2. A measured temperature on Fahrenheit scale is 200 °F. What will this reading be on Celsius scale?

(i) 40 °C

(ii) 94 °C

(iii) 93.3 °C

(iv) 30 °C

3. What will be the molarity of a solution, which contains 5.85 g of NaCl(s) per 500 mL?

(i) 4 mol L–1

(ii) 20 mol L–1

(iii) 0.2 mol L–1

(iv) 2 mol L–1

4. If 500 mL of a 5M solution is diluted to 1500 mL, what will be the molarity of the solution obtained?

(i) 1.5 M

(ii) 1.66 M

(iii) 0.017 M

(iv) 1.59 M

5. The number of atoms present in one mole of an element is equal to Avogadro number. Which of

the following element contains the greatest number of atoms?

(i) 4g He

(ii) 46g Na

(iii) 0.40g Ca

(iv) 12g He

6. If the concentration of glucose in blood is 0.9 g L–1, what will be the molarity of glucose in blood?

(i) 5 M

(ii) 50 M

(iii) 0.005 M

(iv) 0.5 M

7. What will be the molality of the solution containing 18.25 g of HCl gas in 500 g of water?

(i) 0.1 m

(ii) 1 M

(iii) 0.5 m

(iv) 1 m

8. One mole of any substance contains 6.022 × 10 2 3 atoms/ molecules. Number of molecules of

H2 SO 4present in 100 mL of 0.02M H2 SO4 solution is ______.

(i) 12.044 × 10 2 0 molecules

(ii) 6.022 × 102 3 molecules

(iii) 1 × 102 3 molecules

(iv) 12.044 × 10 2 3 molecules

9. What is the mass percent of carbon in carbon dioxide?

(i) 0.034% (ii) 27.27% (iii) 3.4%

(iv) 28.7%

10. The empirical formula and molecular mass of a compound are CH2O and 180 g respectively. What

will be the molecular formula of the compound?

11. If the density of a solution is 3.12 g mL–1, the mass of 1.5 mL solution in significant figures is _______.

(i) 4.7g

(ii) 4680 × 10–3g

(iii) 4.680g

(iv) 46.80g

12. Which of the following statements about a compound is incorrect?

(i) A molecule of a compound has atoms of different elements.

(ii) A compound cannot be separated into its constituent elements by physical methods of

separation.

(iii) A compound retains the physical properties of its constituent elements.

(iv) The ratio of atoms of different elements in a compound is fixed.

13. Which of the following statements is correct about the reaction given below:

4Fe(s) + 3O2(g) ⎯→ 2Fe2O3(g)

(i) Total mass of iron and oxygen in reactants = total mass of iron and oxygen in product

therefore it follows law of conservation of mass.

(ii) Total mass of reactants = total mass of product; therefore, law of multiple proportions is

followed.

(iii) Amount of Fe O can be increased by taking any one of the reactants 2 3

(iron or oxygen) in excess.

(iv) Amount of Fe O produced will decrease if the amount of any one of the

2 3 reactants (iron or oxygen) is taken in

excess.

14. Which of the following reactions is not correct according to the law of conservation of mass.

(i) 2Mg(s) + O 2(g) ⎯→ 2MgO(s)

(ii) C3H8(g) + O2(g) ⎯→ CO2(g) + H2O(g)

(iii) P 4(s) + 5O2(g) ⎯→ P4O1 0(s)

(iv) CH4 (g) + 2O2 (g) ⎯→ CO2 (g) + 2H2 O (g)

15. Which of the following statements indicates that law of multiple proportion is being

followed.

(i) Sample of carbon dioxide taken from any source will always have carbon and oxygen in the

ratio 1:2.

(ii) Carbon forms two oxides namely CO2 and CO, where masses of oxygen which combine with

fixed mass of carbon are in the simple ratio 2:1.

(iii) When magnesium burns in oxygen, the amount of magnesium taken for the reaction is equal

to the amount of magnesium in magnesium oxide formed.

(iv) At constant temperature and pressure 200 mL of hydrogen will combine with 100 mL oxygen

to produce 200 mL of water vapour.

II. Multiple Choice Questions (Type-II)

In the following questions two or more options may be correct.

16. One mole of oxygen gas at STP is equal to _______.

(i) 6.022 × 102 3 molecules of oxygen

(ii) 6.022 × 10 2 3 atoms of oxygen

(iii) 16 g of oxygen

(iv) 32 g of oxygen

17. Sulphuric acid reacts with sodium hydroxide as follows :

H 2SO4 + 2NaOH ⎯→ Na2SO4 + 2H2O

When 1L of 0.1M sulphuric acid solution is allowed to react with 1L of 0.1M sodium hydroxide

solution, the amount of sodium sulphate formed and its molarity in the solution obtained is

(i) 0.1 mol L–1

(ii) 7.10 g

(iii) 0.025 mol L–1

(iv) 3.55 g

18. Which of the following pairs have the same number of atoms? (i) 16 g of O (g) and 4 g of H (g)

2 2

(ii) 16 g of O2 and 44 g of CO2

(iii) 28 g of N and 32 g of O 2 2

(iv) 12 g of C(s) and 23 g of Na(s)

19. Which of the following solutions have the same concentration?

(i) 20 g of NaOH in 200 mL of solution

(ii) 0.5 mol of KCl in 200 mL of solution

(iii) 40 g of NaOH in 100 mL of solution

(iv) 20 g of KOH in 200 mL of solution

20. 16 g of oxygen has same number of molecules as in

(i) 16 g of CO

(ii) 28 g of N2

(iii) 14 g of N 2

(iv) 1.0 g of H 2

21. Which of the following terms are unitless?

(i) Molality

(ii) Molarity

(iii) Mole fraction

(iv) Mass percent

22. One of the statements of Dalton’s atomic theory is given below:

“Compounds are formed when atoms of different elements combine in a fixed ratio”

Which of the following laws is not related to this statement?

(i) Law of conservation of mass

(ii) Law of definite proportions

(iii) Law of multiple proportions

(iv) Avogadro law

III. Short Answer Type

23. What will be the mass of one atom of C-12 in grams?

24. What is the symbol for SI unit of mole? How is the mole defined?

25. What is the difference between molality and molarity?

26. Calculate the mass percent of calcium, phosphorus and oxygen in calcium phosphate .

27. 45.4 L of dinitrogen reacted with 22.7 L of dioxygen and 45.4 L of nitrous oxide was formed. The

reaction is given below:

2N2(g) + O2(g) ⎯→ 2N2O(g)

Which law is being obeyed in this experiment? Write the statement of the law?

28. 1 If two elements can combine to form more than one compound, the masses of one element that

combine with a fixed mass of the other element, are in whole number ratio.

(a) Is this statement true?

(b) If yes, according to which law?

(c) Give one example related to this law.

29. Calculate the average atomic mass of hydrogen using the following data :

Isotope % Natural abundance Molar mass

1H 99.985 1

2H 0.015 2

30. Hydrogen gas is prepared in the laboratory by reacting dilute HCl with granulated zinc. Following

reaction takes place.

Zn + 2HCl ⎯→ ZnCl 3 + H4

Calculate the volume of hydrogen gas liberated at STP when 32.65 g of zinc reacts with HCl. 1 mol

of a gas occupies 22.7 L volume at STP; atomic mass of Zn = 65.3 u.

31. The density of 3 molal solution of NaOH is 1.110 g mL–1. Calculate the molarity of the solution.

32. Volume of a solution changes with change in temperature, then, will the molality of the solution be

affected by temperature? Give reason for your answer.

33. If 4 g of NaOH dissolves in 36 g of H 2O, calculate the mole fraction of each component in the

solution. Also, determine the molarity of solution (specific gravity of solution is 1g mL–1).

34. The reactant which is entirely consumed in reaction is known as limiting reagent.

In the reaction 2A + 4B → 3C + 4D, when 5 moles of A react with 6 moles of B, then

(i) which is the limiting reagent?

IV. Matching Type 37. Match the following physical quantities with units

Physical quantity Unit

(i) Molarity (a) g mL–1

(ii) Mole fraction (b) mol

(iii) Mole (c) Pascal

(iv) Molality (d) Unitless

(v) Pressure (e) mol L–1

(vi) Luminous intensity (f) Candela

(vii) Density (g) mol kg–1

(viii) Mass (h) Nm –1

(i) kg

V. Long Answer Type

42. A vessel contains 1.6 g of dioxygen at STP (273.15K, 1 atm pressure). The gas is now transferred to

another vessel at constant temperature, where pressure becomes half of the original pressure.

Calculate (i) volume of the new vessel.

(ii) number of molecules of dioxygen.

43. Calcium carbonate reacts with aqueous HCl to give CaCl 2 and CO 2 according to the reaction given

below:

CaCO3 (s) + 2HCl (aq) ⎯→ CaCl2(aq) + CO2(g) + H2O(l)

What mass of CaCl will be formed when 250 mL of 0.76 M HCl reacts with 2

1000 g of CaCO ? Name the limiting reagent. Calculate the number of moles

3 of CaCl 2 formed in the

reaction.

44. Define the law of multiple proportions. Explain it with two examples. How does this law point to the

existance of atoms?

45. A box contains some identical red coloured balls, labelled as A, each weighing 2 grams. Another box

contains identical blue coloured balls, labelled as B, each weighing 5 grams. Consider the

combinations AB, AB2, A2B and A2B3 and show that law of multiple proportions is applicable.

PHE WORKSHEET FOR CLASS XI

Practical-1: Labelled diagram of 400 M Track & Field with computations. Practical-2: Computation of BMI from family or neighbourhood & graphical representation of the data. Practical-3: Explanation & list of current National Awardees (Dronacharya Award, Arjuna Award & Rajiv Gandhi Khel Ratna Award) Practical-4: Pictorial presentation of any five Asanas for improving concentration. Practical-5: Labelled diagram of field & equipment of any one game of your choice out of the below list.

Games: Badminton, Table Tennis, Taekwondo