BAHRIA COLLEGE ISLAMABAD

CAMBRIDGE SECTION

FIRST TERM SESSION 2020

WORKSHEET # 2

FOR JR III

BAHRIA COLLEGE ISLAMABAD (CAMBRIDGE SECTION)

ENGLISH WORKSHEETS

CLASS JR III

GENERAL INSTRUCTIONS:

• You are given English worksheets along with videos.

• Watch the videos attentively and understand the concept explained.

• Solve the worksheets and keep them secure in a file/folder.

__________________________________________________________________

Topic: Indefinite tense Sub Topic: Present Indefinite Tense

Tutorial: https://www.youtube.com/watch?v=8X3x0PTgYDs

Q.1: the following sentences using the simple present tense form of the verb.

1. Young children ………………………..something new every day. (learn / learns

/ learned)

2. Good students always ………………………… hard. (work / works / worked)

3. Architects ………………………. buildings. (design / designs / designed)

4. My brother is an architect. He …………………………..skyscrapers. (design /

designs / designed)

5. Some birds ………………………… every year. (migrate / migrates / migrated)

6. A vegetarian is a person who never ……………………………..meat. (eat / eats

/ ate)

7. The Himalayas …………………………… India from Nepal. (divide / divides /

divided)

8. It always ………………………..here in winter. (rain / rains / rained)

9. My father ……………………………..in a factory. (work / works / worked)

10. Susie ………………………… English very well, but she doesn’t understand

Hindi. (speak / speaks / spoke)

11. Cows …………………………. on grass. (feed / feeds / fed)

12. The trains to Bangalore always ………………………..on time. (run / runs /

ran)

Q.2: Fill in the columns using your knowledge of affirmative, negative and

interrogative sentences.

Affirmative Negative Interrogative

I do not like apples

The sun sets in the

West.

Does Ahmed obey his

parents?

Asif and Akmal do not

fly kites.

I go for a walk.

The goat does not eat

meat.

God helps those who

help themselves.

Does the poor postman

make both ends meet?

He does not keep good

company.

You cheat everyone.

Do farmers cultivate

wheat these days?

He who works hard

earns the reward.

I do not wish to meet

him.

The horse does not run

in the desert.

Parrots talk.

Q.3: Choose the correct form of verb and complete the passage.

call connect invent draw lay leave arrive worry sell move

The British _________ the railways. The rail-track was________ for the trains to

________ different towns and villages. The train, ___________ by heavy engine,

would stop briefly for the passengers at places ___________ railway stations. The

uniformed stationmaster and his staff hurriedly __________ about when some train

________ or is about to ___________. There is noise and clamour all around.

Meals, fruits, books and magazines ________ like hot cakes. The prospect of a

long and tiring journey ahead __________ passengers.

Past indefinite tense:

Tutorial: https://www.youtube.com/watch?v=GBdpheS7omQ

Q.4: Change the following into Past Indefinite tense.

Sentences Past Indefinite tense

The letter is posted.

She knocks the door.

Shops and house are decorated.

The sun rises in the east.

Fishermen catch fish.

Aqsa pays her dues.

She does not obey her parents.

Do I wait for you?

Does Saima make noise?

The police arrive.

She draws landscapes.

The wind blows southwards today.

They do not drive cars.

I froze in fear.

Q.5: Change the following sentences into interrogative sentences.

Sentences Interrogative

We burnt the books. Did we burn the books?

I won an award.

Hamza quit his job to purse

photography.

The police caught the thieve.

My dog was bred in a shed under the

stairs.

I drove my car to Kashmir.

Raja fell off his throne.

We got the evidence we wanted.

They kept running after the runaway

dog.

The priest knelt before the alter to

seek forgiveness for his sins.

Q.6: Use the correct form of verbs to complete the paragraph.

fire suspend cause fight make delight dominate coordinate show save

I was__________ to witness a cricket match between Pakistan and India yesterday.

The players of both the teams _________ qualities of strength and stamina. The

Indian team __________ in the beginning but the Pakistani players________ back

and ____________ remarkably. Strong attempts were ________ by the Indian

players to gain the upper hand but our players ________ the game by tightening

the fielding. The match was briefly__________ when the home crowd __________

crackers which __________ a dense smoke.

Future indefinite tense:

Tutorial:https://www.youtube.com/watch?v=U9-KljJGUsY

Q.7: Use ‘will’ and ‘shall’ to fill in the blanks.

1. He________ come to see me.

2. I__________ see off my friends.

3. We ________ work hard to get through the examination.

4. You________ obey our order.

5. They________ thank you for your assistance.

6. Some students________ not do their work.

7. We________ not send for the doctor.

8. Who _______ face the danger for you?

9. _______ the passengers miss their train?

10. ________ I be in charge of the party planning committee?

11. When_______ you publish your book?

12. ______he inherit any of his father’s property?

Q.8: Fill in the columns.

Present Indefinite Past indefinite Future indefinite

My brother gives me

gifts.

She caught a cockroach.

I draw on walls.

Will they attend my

call?

Does she beat you?

Hamza tells me jokes.

I will make lame

excuses.

His father buys him new

toys every day.

Will they prove to be

patriots?

Will the children weep

when they will get

hungry?

Saima understands the

consequences of her

actions.

Does she think a lot?

Will you see the lunar

eclipse from your roof?

The toy sings and

dances to music.

They will swim to the

shore if the boat

capsizes.

The cat springs out of its

cot and runs into the

bathroom.

Unchecked love spoils

children.

The arrow struck him in

the skull and he died on

the spot.

Present Continuous tense:

Tutorial: https://www.youtube.com/watch?v=z7xA8V5JtbQ

Q.9: Form gerunds of the following verbs and complete the sentences.

1. The boy is___________ well for the examination. (prepare)

2. The boys are_________ stones at the frogs. (throw)

3. Alex is________ the watch. (wind)

4. He is_________ the tap on. (turn)

5. We are _________ old coins. (collect)

Q.10: Form negative sentences of the following.

Sentences Negative

The rickshaw is coming this way.

Children are crying because of

hunger.

The potter is teaching his trade to his

son.

You are telling me your address.

He is working honestly

The five members of the committee

are being fined for misjudgment.

Q. 11: Rearrange the following words to make interrogative sentences.

1. you addressing not I am?

2. the patient injecting how the doctor is?

3. student are coming from early school today?

4. horses are standing in rain the?

5. bell ringing is who?

Q.12: Use the following words to make sentences in the present continuous tense.

1. (she / go home now)

_______________________________________________________________

2. (I / read a great book)

________________________________________________________________

3. (she / not / wash her hair)

________________________________________________________________

4. (the cat / chase mice?)

________________________________________________________________

5. (she / cry?)

_______________________________________________________________

6. (he / not / study Latin)

_______________________________________________________________

7. (we / drive to London?)

_______________________________________________________________

8. (they / watch TV?)

________________________________________________________________

9. (where / she / go now? )

________________________________________________________________

10. (I / not / leave now) _____________________________________________

Past continuous tense

Tutorial: https://www.youtube.com/watch?v=Lm7BJV3sizM

Q.13: Change the following into past continuous tense.

Present Continuous Past Continuous

Is the poor girl shouting?

I am not copying from the book.

The rich man was not giving alms to

the poor.

Are we not travelling together?

Are horses grazing in the field?

We were sleeping soundly.

Why are they walking on foot?

The students are not rowing the boat.

The farmers are not cultivating the

crop in March.

Are many students taking part in the

debate?

How many people are gathering in the

lawn?

When are they passing through the

woods?

Future Continuous Tense:

Tutorial: https://www.youtube.com/watch?v=e_Zi2FzN-2U

Q.14: Change the following into future continuous tense.

1. The students are going home.

2. We were painting the house when you will arrive.

3. Was the lame person riding the horse?

4. The children are blowing bubbles on the beach.

5. Were the papers being distributed when you reached the exam hall?

6. My parents were forbidding me to cheat on my test.

7. Is the door bell ringing?

8. The sun is rising at 6 ‘o’ clock this morning.

9. Are you winning the contest?

10. Am I allowed to take part in next year’s elections?

Q.15: Using your knowledge of the continuous tense, use the following words to

complete the paragraph.

beat was will be do were be stare play

As I stood__________ at the screen, I realized I had spent the whole day ________

video games. My mother ____ shouting at me to complete my school work but all I

cared about was_______ the boss. At this time tomorrow I ________ asked to

finish my chores and I had no intentions of _______ their bidding. _____ my

siblings not enough to run to the market? ______ the help not always at their beck

and call? So, why me? I have decided that from now on I will only ____ listening

to my heart.

Present Perfect tense:

Tutorial: https://www.youtube.com/watch?v=5vJOJrVIgek

Q.16: Use your knowledge of the present perfect tense to finish the sentences.

1. That boy_____ learnt his lesson.

2. The boys______ stolen eggs from the farm.

3. The thieves have__________ into the house. (break into)

4. The court_______ given the decision in my favour.

5. The king_______ not _______ off the crown. (take)

6. The Mason______ not left the work incomplete.

7. The army has_______ the fort. (capture)

8. The soldier________ not_______ his officer. (obey)

9. The police______ not__________ him red handed. (catch)

10. Our army______ not _______ to retreat. (learn)

Q.17: Change the following into interrogative sentences.

Sentences Interrogative

The hunter has caught the birds.

You have won the debate.

Akbar has not neglected his duty.

He has not taken revenge for his

brother’s murder.

You have saved the drowning child.

Q.18: Use your knowledge of the present perfect tense to finish the sentences.

1. Have your bought (you / buy) your train ticket yet?

2. The kitchen is a complete mess! What ___________________ (the children /

do)?

3. Julie ___________________ (learn) to drive for six years!

4. Amanda ___________________ (already / have) lunch, so she’ll meet us later.

5. How much coffee ___________________ (she / drink) this morning?

6. Simon ___________________ (write) three books.

7. I ___________________ (do) everything I needed to do today! Hurray!

8. It ___________________ (not / rain) all summer, so the garden is dead.

9. I ___________________ (read) your book. Here it is, thank you.

10. She ___________________ (forget) how to get to my house.

Past Perfect tense:

Tutorial: https://www.youtube.com/watch?v=mOQ_VnC6dtU

Q.19: Change the following into past perfect tense.

Sentences Past perfect tense

His son has killed a man.

I have already considered your

application.

Why have the labrourers called off

their strike?

The has not set yet.

Has he not considered shifting to a

new house?

I have not seen such a beautiful

animal before.

Has the thieve broken in before the

police arrived?

Future Perfect Tense:

Tutorial: https://www.youtube.com/watch?v=n2nin-1VdIo

Q.20: Fill in the column according to your knowledge of the future perfect tense.

Affirmative Negative Interrogative

We will have changed

the house.

The Potter will not have

fired the pots.

The boy will not have

pushed the blind man.

Will you have reached

your office at the given

time?

The servants will have

shut the hens in the den.

They will not have

sworn in the court.

The good players will

have received prizes.

Shall have I taken a

walk by seven ‘o’

clock?

The villagers will not

have helped themselves.

Will the sheep have

grazed by now?

The government will not

have reduced the prices.

Why will they have left

their work incomplete?

I shall have forgiven

him.

The robber will not have

tied his hands.

You shall have

recommended Majeed.

Will the riders have

dismounted the horses?

Comprehension:

Tutorial: https://www.youtube.com/watch?v=En9-8xWYWqk

Read the passage and answer the questions given below.

Passage 1: – Pi

1 I was named after a swimming pool. My uncle, who was a great storyteller, had

spent time in France. Most of his stories were about swimming competitions and

swimming pools there, in particular Piscine Molitor, or Molitor Swimming Pool,

‘piscine’ being the French word for ‘swimming pool’. What was even odder about

my name was that my parents never liked large expanses of water.

2 On my first day at school, one of my classmates, full of evil genius, pointed at me,

shouting, ‘Piscine! What a silly name!’ In a second everyone was laughing, and it

did not fall away until we filed into class. The cruelty of children comes as news to

no-one. Laughter would waft across the yard to me, unprovoked. I would freeze or,

alternatively, pursue my activities, pretending not to have heard. The sound would

disappear, but the hurt would linger.

3 Teachers also showed, however inadvertently, that they found my name amusing.

As the day wore on, the temperature rose and the lessons, which in the morning had

been as compact as an oasis, started to stretch out like a desert. In the afternoon, as

the teachers wiped their foreheads with their handkerchiefs, even they seemed to

smirk as they used my name. Sometimes when my hand was up to give an answer, I

anticipated the insult and changed my mind. Then the teacher would look at me

curiously, wondering why I was no longer offering to answer.

4 When I went to secondary school, my older brother Ravi was already there and,

like all younger brothers, I would suffer from having to follow in the footsteps of a

very clever older sibling, who already had a good reputation. That I was an excellent

swimmer was unimportant; it seems to be a law of nature that those who live by the

sea, as we did, see swimmers as rather odd. But it wasn’t being related to Ravi, the

elected captain of the school cricket team, that allowed me to escape from my name.

I had a better plan than that.

5 I carried out my plan on the very first day of secondary school, in the very first

class, which started with the checking of names. We were to remain seated and call

out our names from our desks. ‘Vipin Nath,’ said Vipin Nath. ‘Stanley Kumar,’ said

Stanley Kumar. ‘Sylvester Naveen,’ said Sylvester Naveen, right in front of me. It

was my turn. I got up promptly from my desk and hurried to the chalkboard. Before

the teacher could say a word, I picked up a piece of chalk and said as I wrote, ‘My

name is Piscine Molitor Patel, known to all as Pi.’ I double-underlined the first two

letters of my given name. There was silence. The teacher was staring at the

chalkboard. I was holding my breath. Then he said, ‘Very well, Pi. But next time ask

permission before leaving your desk.’ I was saved. I could breathe. It was a new

beginning. I repeated the stunt with every teacher that day. Between one boy and

another, I rushed forward and emblazoned, sometimes with a terrible screech of

chalk, the details of my rebirth.

6 When I put up my hand that day to answer questions, which I did at every chance

I had, teachers granted me the right to speak with a single syllable that was music to

my ear. Students followed suit; in fact, the name really caught on. Even my brother,

that local god, the captain of the school cricket team, approved. ‘What’s this I hear

about you having a new name?’ he said. ‘I didn’t realise you liked the colour yellow

so much.’ I kept silent because, whatever mocking was to come, there was no

avoiding it. I looked around. Nobody must hear what he might have been about to

say, especially not one of his friends. ‘It’s all right with me, brother,’ he said.

‘Anything’s better than “swimming pool”, even “lemon pie”.’ As he sauntered away

he smiled and said, ‘You look a bit red in the face.’

7 And so, in my new name, I found refuge.

Exercise:

Answer all the questions below.

From paragraph 1

(a) In which two ways, according to Pi, was his name odd?

(b) Pi’s uncle was ‘a great storyteller’. What was the topic of his favourite story?

From paragraph 2

(c) Explain in your own words what prompted one of Pi’s classmates to make fun of

his name.

(d) One of Pi’s classmates pointed at him. In what way did the other children show

their ‘cruelty’?

(e) Pick out and write down the single word which shows that Pi dealt with ‘the

cruelty of children’ in different ways

From paragraph 3

(f) The lessons ‘started to stretch out like a desert’. What impression of the lessons

is given by this description?

(g) Why did the teachers wipe ‘their foreheads with their handkerchiefs’?

(h) ‘I anticipated the insult’. What was the insult he anticipated?

(i) Explain fully how Pi reacted when he ‘anticipated the insult’.

From paragraph 4

(j) Give two pieces of evidence which suggest that Ravi had ‘a good reputation’ in

the school.

(k) In what way did Pi suffer because he lived ‘by the sea’?

From paragraph 5

(l) Pi had a ‘plan’. Without using the words of the passage, explain in no more than

fifteen words what the plan was.

(m) Why do you think Pi ‘hurried’ to the chalkboard?

From paragraph 6

(n) Why do you think Pi took ‘every chance’ he could to answer questions that day?

(o) What do you think Pi’s brother ‘might have been about to say’?

From the whole passage

For each of the words give one word or short phrase (of not more than seven words)

which has the same meaning that the word has in the passage.

waft (line 9)

promptly (line 30)

unprovoked (line 9)

stunt (line 35)

freeze (line 9)

sauntered (line 45)

inadvertently (line 11)

refuge (line 47)

Composition:

Descriptive Writing

Tutorial: https://www.youtube.com/watch?v=q03UNpGtEwg

Using the information in the tutorial, write down descriptive essays of 200-250

words on each of the following topics.

1. Describe a long wait you had at a railway station or bus station. (Remember

to describe the people, the surroundings and the atmosphere, as well as your

feelings.) 2. Laughter. 3. Describe your oldest memory.

Narrative Writing:

Tutorial: https://www.youtube.com/watch?v=fqGWo1C7I2I

Using the information in the tutorial, write down narrative essays of 200-250

word on each of the following topics.

1. A time that you took a stand for someone or for an issue that you care about.

2. The moment when you met someone who changed your life.

3. A trip that included something unexpected or surprising.

BAHRIA COLLEGE ISLAMABAD (CAMBRIDGE SECTION)

GENERAL SCIENCE WORKSHEETS

CLASS JR III

GENERAL INSTRUCTIONS:

• You are given General Science worksheets along with videos.

• Watch the videos attentively and understand the concept explained.

• Solve the worksheets and keep them secure in a file/folder.

1.3: Flowers:

Q1: Match the columns: (5)

Part of flower Function/location

nectar Female gametes

pollen Attract insects

ovules At base of petals

petals Male gamete

Stapelia Egg like smell

Q2: Draw labelled diagram of flower? (5)

Q3: Explain difference between flower and a plant? (4)

1.3: POLLINATION:

Fill in the blank spaces: (4)

Pollengrains are ___________gametes made inside ________of flowers.

Pollen grain are carried from anther to ___________of a flower. this transfer of

pollen from anther to stigma is called ___________

Q2:Write differences between insect pollinated and wind pollinated flowers. (4)

1.6: FERTISATION:

Q1: Define the following terms: (4)

(i)Fertilization

(ii) Zygote

(iii)Embryo

(iv) seed

[10)

1.7: FRUITS:

Q1: What is seed dispersal? (3)

Q2: Explain its importance in plants? (3)

Q3: Label the following fruits and vegetables as if they are plant seed,

root or fruit. (4)

Potato, mango, orange, cabbage, onion, tomato, banana, apple, bean pod.

UNIT 4: 4.1 AND 4.2: THE STRUCTURE OF THE ATOM

4.3 TRENDS IN GROUP 1

4.4: TRENDS IN SOME OTHER GROUPS:

Attempt the following questions:

Q1: What is periodic table?

Q2: What are noble gases, name them?

Q3: What are uses of noble gases?

Q4: Give physical properties of group 1 elements?

Q5: What is the physical trend down the group in this group?

Q6: What are the chemical trends down the group?

Q7: What are halogens, name them?

Q8: What is the chemical trend moving down the group?

BAHRIA COLLEGE ISLAMABAD (CAMBRIDGE SECTION)

MATHEMATICS WORKSHEETS

CLASS JR III

GENERAL INSTRUCTIONS:

• You are given General Science worksheets along with videos.

• Watch the videos attentively and understand the concept explained.

• Solve the worksheets and keep them secure in a file/folder.

Topic: Finding the solution of Simultaneous Linear Equations by

Using elimination method

Key Points :

• In the given equations first check whether coefficient of any

variable is same.

• If the coefficients of any variable are same in both equations and

signs are different. Add these equations. for example

x + 2y = 6

2x - 2y = 9

In above example the coefficients of y are same and signs are

different

• If the coefficients of any variable in both equations are same and

signs are same. Subtract these equations.

• If the coefficients of any variable is not same, multiply any or both

of the equation with some number to make the coefficients same.

• After addition or subtraction you will get an equation having one

variable.

• After Solving this equation you will get the value of one variable.

• Put the value of that variable in any of the given equation and

solve. You will get the value of other variable.

• These values will be the solution of given equations.

Tutorial link:

https://www.youtube.com/watch?v=Tkrqrfkznoo

Question: Solve each pair of simultaneous equations by using

elimination method.

(a) x + y = 15 (b) x + y = 7

x – y = 5 2x – y = 2

(c ) 3x + y = 10 (d) 3x + 2y = 2

4x + y = 4 x – y = 4

(e) 4x + y = 2 (f) y = 5x + 3

2x + 2y = 4 y = 15x + 2

(g) x – y = -3 (h) x + 4y -12 = 0

x – 2y = -1 4x + y -18 = 0

Topic: Finding the solution of Simultaneous Linear Equations by

Using substitution method

Key Points :

• In the given equations first check whether there is any variable

without coefficient in any equation.it means

2x + y = 2

Here y is without any coefficient,

So, make y the subject, by taking all other elements at the other side

of equation

Y = 2 – 2x

• If the equation is like this

2x + 3y = 6

U can make any of the variable subject

⟹ 2x = 6 – 3y

⟹ x = 6−3𝑦

2

• After making subject , put this in other given equation, e.g.

The other equation in above example is x – y =3,

• Put x = 6−3𝑦

2 in x – y =3

• This will give one variable equation

X – y = 3

(6−3𝑦

2) – y = 3

• Then solve that equation

6 – 3y – 2y = 6

6 - 5y = 6

-5y = 6 -6

Y = 0

Then put this value in x = 6−3𝑦

2

It will give you the value of x.

• These values of x and y will be the solution of given equations.

Tutorial link:

https://www.youtube.com/watch?v=r59oLimduIM

Question: Solve each pair of simultaneous equations by using

substitution method.

(b) x + y = 15 (b) x + y = 7

x – y = 5 2x – y = 2

(c ) 3x + y = 10 (d) 3x + 2y = 4

x - y = 4 x – 3y = 5

(e) 4x + y = 2 (f) y = 5x + 3

2x + 2y = 4 y = 15x + 2

(g) 2x – 4y = -3 (h) x + 4y -12 = 0

3x – 2y = -1 4x + y -18 = 0

Topic: Word Problems related to simultaneous linear

equations

Key Points :

• First You have to formulate two equations by understanding the

concept of the problem

• Example:

One group of people purchased 10 burgers and 5 soft drinks at a

cost of $12.50. A second group bought 7 burgers and 4 soft

drinks at a cost of $9.00. What is the cost of a single burger?

What is the cost of a single drink?

Solution:

As you do not know cost of each burger and each soft drink,but

you know total cost.You can suppose their unit cost

Let cost of each burger = $x

Let cost of each soft drink = $y

If you multiply the unit cost with number of units, you will get

total cost of burgers i.e. 10x. In the same way you can find the

total cost of soft drinks i.e. 5y. Adding both these costs ,it should

be equal to $12.5.

10x + 5y = 12.5

In the same way, you can formulate as unders

7x + 4y = 9.00

You can solve these two equations by using elimination or

substitution method.

At the end you will get the value of x and y. That is the cost of one

burger and one soft drink.

Tutorial link:

https://www.youtube.com/watch?v=9tqlzouVQfs

Q1. The sum of two numbers is 45. One number is 4 times the other.

Find the two numbers.

Q2. One number is 7 less than the other number. The sum of

two number is 63. Find two numbers.

Q3. A jacket cost 4 times as much as pair of shorts. Together they cost

$75. How much is the cost of each jacket and each pair of shorts ?

Q4. Joseph is 9 years older than Susan. Their ages total is 41. How

much is Joseph and Susan old?

Q5. Three times the larger of two numbers is equal to four times

smaller. Th sum of the numbers is 21. Find the larger and smaller

numbers.

Q6. Two records and three CDs cost $31. Three records and two CDs

cost $29. Find the cost of each record and each CD.

Q7. A shipment of TV sets, some weighs 30kg each and others

weighing 50kg each has a total weight of 880kg. If there are 20 TV

sets altogether. How many weighs 50 kg, and how many weighs

30kg.

Q8. At a local grocery store, 5 oranges and 14 bananas costs $1.30.

Whereas 8 oranges and 9 bananas costs $1.41. Determine the

cost of each orange and each banana.

Q9. If 2 is added to numerator and denominator of a fraction, it

becomes 9

10. If 3 is subtracted from numerator and denominator

of that fraction, it becomes 4

5. Find the fraction.

Q10. The sum of two numbers is 9. The difference in their squares is

also 9. Find the two numbers.

Topic: Expansion and simplification of quadratic expression

Key Points :

• Expansion is a process in which you have to open the brackets by

multiplication.

• when you multiply a variable with same variable, you will add up

their powers

Example:

o (𝑥)(𝑥) = 𝑥2

o (𝑦)(𝑦2) = 𝑦3

• While when you add or subtract two same variables, don’t add up

their powers. Just add up or subtract their coefficients.

o Example:

o 𝑥 + 𝑥 = 2𝑥

o 2𝑎2 + 3𝑎2 = 5𝑎2

o 5𝑦3 − 3𝑦3 = 2𝑦3

• While expansion multiply the term outside the bracket with every

term inside the bracket.

Example:

▪ 2(2𝑥 + 3𝑦 + 4) = 4𝑥 + 12𝑦 + 8

▪ 𝑥(𝑥 + 𝑦) + 𝑦(𝑥 + 𝑦) = 𝑥2 + 𝑥𝑦 + 𝑥𝑦 + 𝑦2

• Simplification means add up or subtract the like terms. In the

above example you can simplify it like

▪ 𝑥2 + 𝑥𝑦 + 𝑥𝑦 + 𝑦2 = 𝑥2 + 2𝑥𝑦 + 𝑦2

• Before attempting the worksheet you must learn

• (+) (+) = (+)

• (+) (-) = (-)

• (-) (-) = (+)

×

×

×

• If there is a negative side outside the bracket, the signs inside the

bracket would be changed after expansion

Tutorial link: https://www.youtube.com/watch?v=_UsGzivJUjU

https://www.youtube.com/watch?v=QXE8W-AD8pw

https://www.youtube.com/watch?v=d0gKPnKy6YQ

https://www.youtube.com/watch?v=ZILVUNImJIE

https://www.youtube.com/watch?v=Oocc_EArdg0

Q1. Expand

Q2. Expand and simplify the following expressions

a) b)

b) (𝑥 + 3)(𝑥 + 2) d) (𝑥 + 3)(𝑥 + 9)

e) (𝑥 − 2)(𝑥 + 4) f) (𝑥 − 2)(𝑥 − 4)

g) (𝑥 + 5)(𝑥 – 5) h) (2𝑥 + 1)(𝑥 – 4)

i) 7𝑥 – 2(𝑥 + 5) j) 3(𝑢 – 7) − 4𝑢

k) −2𝑥(𝑥 + 3) − 4𝑥(1 − 𝑥) l)

Q3. Expand and simplify

a) (3𝑥 + 5)(2𝑥 − 3) − 2(𝑥 − 1)

b) 𝑥2 + (1 − 𝑥)(𝑥 − 3)

c) 3𝑥 – 2 – (4𝑥 – 3)

d) (𝑎 + 6)2

e) (𝑛 − 5)2 + (𝑛 + 3)2

Q4. Simplify the following expression

a) 𝑍 – 1 + 4

b) 4𝑥2 + 1 − 4

c) 𝑐2 + 𝑐 + 𝑐

d) −2𝑦2 − 𝑦2 + 5

e) 3𝑧2 + 3𝑧2 + 4𝑧

BAHRIA COLLEGE ISLAMABAD (CAMBRIDGE SECTION)

URDU WORKSHEETS

CLASS JR III

GENERAL INSTRUCTIONS:

• You are given Urdu worksheets.

• Solve the worksheets and keep them secure in a file/folder.