ĐỀ SỐ 1
(THỜI GIAN: 120 PHÚT)
Bài 1: (2 điểm)

a) Cho x2 - 2xy + 2y2 - 2x + 6y + 13 = 0. Tính
b) Nếu a, b, c là các số dương đôi một khác nhau thì giá trị của đa thức sau là số dương: A = a 3 +
b3 + c3 - 3abc
Bài 2: (2 điểm)
Chứng minh rằng nếu a + b + c = 0 thì:

Bài 3: (2 điểm)
Một ô tô phải đi quãng đường AB dài 60 km trong thời gian nhất định. Nửa quãng đường đầu đi với
vận tốc lớn hơn vận tốc dự định là 10km/h. Nửa quãng đường sau đi với vận tốc kém hơn vận tốc dự
định là 6 km/h. Tính thời gian ô tô đi trên quãng đường AB biết người đó đến B đúng giờ.
Bài 4: (3 điểm)
Cho hình vuông ABCD trên cạnh BC lấy điểm E. Từ A kẻ đường thẳng vuông góc vơi AE cắt đường
thẳng CD tại F. Gọi I là trung điểm của EF. AI cắt CD tại M. Qua E dựng đường thẳng song song với
CD cắt AI tại N.
a) Chứng minh tứ giác MENF là hình thoi.
b) Chứng minh chi vi tam giác CME không đổi khi E chuyển động trên BC
Bài 5: (1 điểm)
Tìm nghiệm nguyên của phương trình: x6 + 3x2 + 1 = y4

ĐỀ SỐ 2
(THỜI GIAN: 120 PHÚT)
Bài 1: (2 điểm)
a) Phân tích đa thức sau thành nhân tử: a(b + c) 2(b - c) + b(c + a)2(c - a) + c(a + b)2(a - b)
b) Cho a, b, c khác nhau, khác 0 và
Rút gọn biểu thức:
Bài 2: (2 điểm)
a) Tìm giá trị nhỏ nhất của biểu thức: M = x2 + y2 - xy - x + y + 1

1. Chứng minh rằng EF=BC2.
2. Trên DI lấy điểm M sao cho CM song song với AD. Đường thẳng KM cắt đường thẳng BC tại N.
Đường tròn ngoại tiếp tam giác BKN cắt (O) tại P (P≠B). Chứng minh rằng đường thẳng PK đi qua
trung điểm đoạn thẳng AD.
Ngày thi thứ hai
Thời gian: 180 phút
Bài 5 (7.0 điểm). Cho tam giác nhọn ABC nội tiếp đường tròn (O), trong đó B,C cố định và A thay đổi
trên (O). Trên các tia AB và AC lần lượt lấy các điểm M và N sao cho MA=MC và NA=NB. Các
đường tròn ngoại tiếp các tam giác AMN và ABC cắt nhau tại P (P≠A). Đường thẳng MN cắt đường
thẳng BC tại Q.

1. Chứng minh rằng ba điểm A,P,Q thẳng hàng.
2. Gọi D là trung điểm của BC. Các đường tròn có tâm là M,N và cùng đi qua A cắt nhau tại K (K≠A).
Đường thẳng qua A vuông góc với AK cắt BC tại E. Đường tròn ngoại tiếp tam
giác ADE cắt (O) tại F (F≠A). Chứng minh rằng đường thẳng AF đi qua một điểm cố định.
Bài 6 (7.0 điểm). Tìm giá trị lớn nhất của biểu thức

T=x3y4z3(x4+y4)(xy+z2)3+y3z4x3(y4+z4)(yz+x2)3+z3x4y3(z4+x4)(zx+y2)3
với x,y,z là các số thực dương.
Bài 7 (6.0 điểm). Tìm tất cả các bộ số gồm 2014 số hữu tỉ không nhất thiết phân biệt, thỏa mãn điều kiện: nếu bỏ
đi một số bất kì trong bộ số đó thì 2013 số còn lại có thể chia thành 3 nhóm rời nhau sao cho mỗi nhóm gồm 671
số và tích tất cả các số trong mỗi nhóm bằng nhau.


Đề thi TA 8
I ) từ gạch chân nào khác vs các từ còn lại:
1) A. honest

B. hour


B. mall

C. nature

D. face

6) A. option

B. information

C. quention

D. invitation

7) A. choos

B. chemistry

C. character

D. child

8) A. invited

B. liked

C. ended

D. wanted


5. They are traveling……………….. the airport…………….. a bus.
6. I am afraid………………. Ghost.
7. The fight………………... deforestation is very important.


IV )Chia dạng đúng của các từ trong ngoặc:
1. Ha Long Bay is in………………… VietNam (north).
2. The wild animals are being…………………..(appear).
3. I couldn’to find any………………. between the tow picture (different).
4. She is a ……………… she sells flowers at a shop in Canada (flower).
5. Long put…………… on that towel to stop the bleeding (press).
6. The question isn’t good. It’s ………….. to ask (import).
7. His father soon died of a ……………… heart (break).
8. Don’t let the child go out because it’s……………. (wind).
9. I am going to have a……………check-up next Monday (medicine).
10. The knife is ……………… it can cut everything (use)
V )Chọn đáp án đúng:
1. I finish ………….. the book and went to bed.
A. read

B. to read C. reading D. reads

2. That man can tell us where …………….
A. does John live
C. John lives

B. is John living
D. John live

3. …………… clothes do you prefer, T- shirt or pullover?

6. Do you find anything …………….. there?
A. interested

B. useful

7. Ann is very busy these days. She has …………… free time.
A. a little

B. few

C. a few

D. little

C. hard

D. firmly

8. It’s raining very ……………
A.wet

B. badly

9. A new shoppig is ……………. In my neighborhood today.
A. being open B. opened

C. opening

D. be opened


universityes.The farmer still have to work hardly but his life is much improved.
VIII ) Đọc đoạn văn sau và trả lời câu hỏi:
Most types of paper can be recycled. Newspapers have been recycled profitably for decades and
recycling of other paper is growing.It’s important to know what you are buying in a paper product,
for that reason virtually all paper products should be marked with the percentage and tupe of
recycled content. Just saying “recycle paper” isn’t enough. “Recycled paper” can mean anything
from 100% true recycled paper to 1% re- manufactured ends of large paper rolls. “Post- consumer”
mean the paper that you and I return to recycling centers.
1. Can newspapers be recycled?.
2. Why should all paper products be marked with the percentage andtupe of?
3. Are all recycled paper products the same?
4. What does “Post- consumer” mean?

HƯỚNG DẪN CHẤM THI CHỌN HSG

I ) 1-D
II.(1) spent

3-A

5-B

7-D

(3) were caught

9-C
(5) had

2-A

3. The doctor told me to eat more and more vegetables.
4. It must be hard to live on your salary.
5. No one in the team plays as well as Tom.
6. this book is interesting to be read.
7. It takes me half an hour to travel to work by motorbike everyday.
8. Peter said “I am not feeling well now”.
9. The boy injured in the accident is now in the hospital.
VII.1. farm ->farmer
6. good-> better
2. mean-> means
3. work-> working
4. entertain-> entertainment
5. Her-> His

7. Berofe-> After
8. universityes-> universities
9. have-> has
10. hardly-> hard

VIII:
1. Yes, they can.
2. To help consumers know what they are buying in a paper product.
3. No, they aren’t.
4. “Post- consumer” means the paper that you and I return to recycling centers.

Đề thi TA 8:
I .Từ gạch chân nào có cách phát âm khác vs các từ còn lại
1. A. switch
B. stomach
C. match

C. practise
B. resident
C. department
B. documental
C. historic
B. agricultural
C. industrial

D. prepare
D. environment
D. electricity
D. recommend


5. A. intelligent
B. difficult
C. interesting
D. hospital
I. Choose from the four options given one best answer to complete each sentence. Identify your answer by
writing the corresponding letter A, B, C or D on your answer sheet.

1. Faraday attended a lecture ___________ by a famous scientist.
A. giving

B. gave

C. given

D. to give



B. by

C. along

D. on

6. The car was easy to recognize so it wasn’t ___________ difficult for the police to catch the
thieves.
A. much

B. many

C. too

D. such

7. I was so tired that I ___________ asleep in the chair.
A. got

B. went

C. felt

D. fell

8. This is Mr. White ___________ invention has helped hundreds of disabled people.
A. who

B. which

1. She had never been greatly concerned about her ___________ (APPEAR)
2. The _____________ of people interviewed prefer TV to radio. (MAJOR)
3. I’m afraid I was very___________ with the travel arrangements. (satisfy)


4. Even the most ___________ person ought to appreciate the beauty of this music. (sense)
5. If she can make up such stories, she is certainly a very ___________girl. (imagine)
I. Read the following passage then choose the best answer from the four options (marked A, B, C and D) to
complete the numbered blanks in the passage. Identify your answers by writing the corresponding letter A,
B, C or D on your answer sheet.
Christmas is a Christian holiday. It commemorates the __________ (1) of Jesus Christ more than
2,000 years ago. Christian churches hold ___________(2) services to celebrate Christmas ______(3)
midnight on Christmas ____________(4), most churches hold special candlelight services. But
Christmas is also a social and family____________(5). It is a festival of goodwill, a time____________
(6) family, friends, food, and gift-giving. Many Americans share Christmas cookies, decorate their
home, and place presents ____________(7) the family Christmas tree. Children often hang up
stockings for Santa Claus to fill _________(8) small gifts. __________ (9) tradition, Santa comes on a
sleigh pulled by reindeer. Presents are ____________(10) opened on Christmas Eve or Christmas Day.
1.A. day

B. birth

C. God

D. father

2. A. Religious

B. religion


B. to

C. for

D. on

7. A. on

B. under

C. beside

D. in

8. A. With

B. in

C. of

D. on

9. A. Despite

B. Because of

C. According to

D. But


them. Most industries simply ignore the regulations. The Mediterranean Sea occupies 1% of the
world’s water surface. But it is the dumping ground for 50% of all marine pollution. Almost 16
countries regularly throw industrial wastes a few miles off shore. Water is free to everyone. A few
years ago people thought that the supply of clean water in the world was limitless. Today, many
water supplies have been ruined by pollution and sewage. Clean water is now scarce, and we are at
last beginning to respect this precious source. We should do something now.
1. According to the writer, one environmental problem in the world today is ________ .
A. acid rain

B. industrial pollution.

C. safe water shortage.

D. population explosion .

2. Many sources of water are not drinkable because of _______ .
A. acid rain.

B. industrial pollution.

C. garbage

D. all A, B, C, are correct

3. What is serious problem of Lake Baikal in Russia?
A. It contains a rich variety of animals and plants.
B. It is polluted by massive volumes of industrial wastes discharged into it .
C. It has 1,300 rare species that do not exist anywhere else in the world .
D. The government did not have the power to enforce laws and regulations.
4. How many countries throw industrial waste into the Mediterranean Sea regularly?


Đề 2:
I.Chọn từ có cách phát âm khác vs các từ còn lại:
1. A. claim

B. wait

C. said

2. A. watch

B. bath

C. want

3. A. sure

B. mixture

4. A. few

B. new

C. injure

D. paid
D. wash
D. pleasure

C. threw


D. knew
D. churches
D. looked
D. weather
D. resource
D. ware


10. A. sixty

B. my

C. sky

D. fly

II. Use the correct form of the verbs in parentheses to complete the sentences( 1m)
1. While I (watch) 1……………………………………… a good film on TV, the mailman
(come) 2………………..……….. and (give) 3…………………………. …..me a letter.
2. I ( know) 4………………………………………… her for six years, when I met her, she
(work) 5………………………………………… for a foreign company.
3. Please stop laughing. I hate (laugh) 6…………………………. .……..…..…at by others.

4. It ( not rain) 7…………………………………………………………much in the winter .
5. They’d rather you ( not come)………………………………………..to the party too late.
6. You always (watch) 9…………………television. You should do something more active
.7. This building ( build) 10………..……………………………… ……over 100 years ago.
III. Choose the word or phrase that best completes each sentence. (1,5ms )
1. Helen is my aunt’s daughter so she is my……………….…………..


a. hotel

b. house

c. orphanage

d. hostel

6. It took him ages to ………………… living in the new town.
a. get use to

b. be used to

c. will used to

d. will use to

7. My parents make me…………………………..for my exam .
a. to study

b. study

c. studying

d. studied

8. I would rather you ……………….me the story.
a. tell


c. clean

d. both a and c

11. That’s a …………………. building.
a. five- floor

b. five- floors

12. She helped me ………………. the house.
a. to clean

b. cleaning

13. ………………….is a book in which you can look up telephone number.
a. Mobile phone

b. Public telephone c. Telephone directory d. Answering machine

14. ………………is a large piece of furniture where you can hang your clothes.
a. Wardrobe

b. Refrigerator

c. Desk

d. Counter.

15. Jane really enjoys ...................................................... to dinner parties.
a. inviting

(health)

4. These medicines can work well with your . . . …………….………... . . . . .

(ill)

5. There was no . . . . . ……………….. . for his absence from class yesterday.
6. Is he sleeping ? - No, he is still…………………………………………….

(explain)

(wake)

7. Every week, there are two………………from Ha Noi to Ho Chi Minh city.

(fly)

8. They had an . . . ……………………………………..... Christmas vacation.

(enjoy)

9. He is a well- known ………………………………………………………. (photograph)
10. The …………………………...……..she gave last night was marvelous.

(perform)

VI. Rewrite the following sentences without changing the meaning. (2ms)
1. They have planted a lot of green trees this year --) A lot of green trees……………….
2. '' I don't behave very well in front of a crowd, '' said Peter. --) Peter said that……..
3. The town was farther than we thought. --) The town wasn’t as…………


C. Both pronunciation and grammar

D. The way of improving his pronunciation

2. Who wanted to meet him one afternoon after the lesson?
A. His teacher

B. One of his friends

C. His father

D. His mother

3. Where did Nam and his teacher go after that?
A. to the town library

B. to the school library

C. to the teachers’ room

D. to his house

4. What did the teacher show him then?
A. A glass bookcase

B. An English-English dictionary

C. An English Grammar book


9.d 10.c

11.a

12.c

13.a 14.a

15.c

8.c 9.a 10.b

V.(1đ)1. comfortable 2. differences 3. unhealthy
4. Illness
7. Flights 8. enjoyable
9. photographer
10. Perfomance
VI.(2đ) 1. A lot of green trees have been planted this year

5. Explanation
6. Awake


2. Peter said that he didn’t behave very well in front of a crowd.
3. The town wasn’t as near as we thought
4. It takes us five hours to study English everyday
5. She advised me not to eat much sugar.
6. He asked his friend to wait for him outside the movie theater.
7. He told the boy not to be silly.
8. The water isn’t cold enough for us to drink

I- Find the word whose underlined part is pronounced diffirent from the others
1- a. sun

b. fun

c. pull

d. hunt

2- a. tie

b. sit

c. bit

d. hit

3- a. cave

b. have

c. slave

d. behave

4- a. bull

b. pull

c. dull


1- My brother is studying hard ......................... pass the exam.
A. for

B. in order to

C. so to

D. so that

2- We have studied ................... seven o'clock.
A. for

B. at

C. since

D. to

3- He was born in England. English is his .................................
A. mother tongue

B. first language

C. foreign language

D. A and B are correct

4- It's dangerous .......................... in this river.
A. swim

D. take

8- Would you mind ................... for a few minutes?
A. to wait

B. waiting

C. wait

III- Complete the sentences, use the correct form of the words in the brackets.
1- Would you mind if I (smoke).................................. ?
2- Surface mail is much (cheap)............................. than airmail.
3- He (live)................................. in this city since 2000.
4- The man (sit).......................... next to me was very nervous.
5- The children (play).................................... when It started to rain.
6- We(learn)................................... French grammar at the moment.
7- Could you give me some (inform)..............................?
8-Mr Hung told me (tell)............................. him the truth.
9- My father can read (good)....................... without glasses.

D. be waiting


10- Nam must (do)........................ the homework himself.
IV-Underline and correct the mistake in the sentences
1- They didn't let me to go.
2- When John is four, he came to London with his parents.
3- How long have you living here ?
4- They are going to school by foot.
5- Do you mind if I smoking in the room ?

Nick Johnson lives with his parents, and his sister. They live in Wembley, in north London. Nick’s
mum is called Sue. She works in a supermarket. His dad is called Jim and he works in a bank. Nick’s
sister is called Tracy. She is nine years old. There is also a dog in the family. His name’s Fred.

1.

How many people are there in Nick Johnson’s family?
A. 2
B. 3
C. 4

2.

Where does Nick’ family live?
A. America
B. England

3.

Which does the word “his” in line 4 refer to?
A. Nick’s mother B. Nick’s sister
C. Nisk’s cousin

4.

What’s Nick’s sister’s name?
A. Sue
B. Jim

5.


D. Nick’s sister

VIII- Rewite the following sentences so that the seconds have the same meanings as the first ones.
1- The last time I saw her was in 2005. → I haven't…………………………………………….
2- He is writing a book on biology. → A book on biology……………………………………….
3- Going swimming in the summer is interesting. --) It………………………
4- He was punished by his mother --) His mother………………………….
6- Tom is not as tall as Mary. --) Mary………………………………………………
7- How is the weather ? →What’s…………………………………………………………
9- Many trees are cut down to make paper. --) They………………………………….
10- She cleaned the house.Then she went to the market. --) After………………….
IX- Complete the following sentences based on the given cues.


1- How long / it / take you / get / school ?
2- He / not interested / buy / new / house.
3- I / play badminton / Nam / when / my friends / come.
4- I / bored / doing / same thing / day after day.
5- Marie Curie / born / Poland / 1867
6- We ought / use/ cloth bags/ instead / reuse/ plastic bags.
7- We / have / wonderful/ time / moment / SaPa.
8- Could / give me / information ?
KEY
I- Find the word whose underlined part is pronounced differently from the others . (2ms)
1.c 2.a 3.b 4.c 5.a 6.c 7.c 8.a
II-Choose A,B,Cor D to complete the following sentences (2ms)
1.c 2.a 3.d 4.b 5.b 6.d 7.c 8.b
III- Complete the sentences, use the correct form of the words in the brackets. (2,5ms)
1- smoked

VII1.c 2.b 3.d 4.c 5.a 6.d
VIII.1- I have’t seen her
since 2005. 2- A book on biology is being written by him.
3- It’s interesting to go swimming
in the summer.
4- His mother punished him.
6- Mary is taller than Tom. 7- What’s
weather like ?
9- They cut down many trees to make paper. 10- After she cleaned the house,
she went to the market.
IX.1- How long does it take you to get to school ?
2-He is not
interested in buying a new house.
3-I was playing badminton with Nam when my friends came.
4- I am / was bored with doing the same thing day after day. 5- Marie Curie was born in Porland in


1867.
6- We ought to use cloth bags instead of reusing plastic bags. 7- We are having a
wonderful time at the moment in SaPa.
8- Could you give me some information ?
ĐỀ THI HSG TA LỚP 8
PART I - Choose the word A, B, C or D whose underlined part is pronounced differently from the
others.

1. A. rubbish

B. uniform

C. umbrella


C. suitcase

D. waterfall

Choose the word A, B, C or D whose main stress is different from the others in the group.

6. A. pencil

B. raincoat

C. arrive

D. notebook

7. A. enjoyable

B. power

C. permission

D. explore

8. A. photography

B. minority

C. heroic

D. visit



a. to break b. broken c. breaking

d.break

7. They will hold a meeting in the large room ____________ the morning of next Sunday.
8. Minh loves playing chess _____________ his sister enjoys skipping in their free time.
a. when

b. because

c. while

d. during

9. One hundred dollars ______________ an big amount of money for her.
a.is b. are c. were d.is being
10. Don’t overheat the victim _____________ blankets or coats.
a.on b.for c. with

d from

11. We are going to __________ a small plane to Ha Long Bay this weekend.
a. drive

b. ride c. take

d. give


20. Nam and Manh have played badminton for two hours, but __________ of them are tired.


a. none b. both c. neither d. all
PART III - Put the correct form of the words:
1. Joanne wants to become a __________ in the future. (science)
2. Many rural areas in Viet Nam have been __________ in the last few years. (urban)
3. The book was so ________ that we didn’t want to read it. (interest)
4. There are a lot of _______________ in the competition. (contest)
5. Linda’s __________ made the party less exciting. (absent)
6. He didn’t win the championship, so he felt very _____________ . (hope)
7. Because of his _________, they failed the exam. (lazy)
8. Vinamilk company has served customers a lot of _____________ recently. (produce)
9. Tet holiday is one of the most important __________ for Vietnamese people. (celebrate)
10. Laura loves all of Vietnamese dishes, _______________ Nem. (special)
PART IV - Find and correct a mistake in each sentence:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.

The boy was enough intelligent to solve that problem.
The girl helped me with the needlework yesterday is my classmate.
They asked their friends not play soccer in the road.

C. disagreed
D. proved
5. A. lung
B. heart
C. liver
D. stomach
6. A. had
B. have
C. has
D. having
7. A. water
B. lead
C. gas
D. exhaust
8. A. lived
B. live
C. to live
D. living
9. A. quick
B. slowly
C. quickly
D. slow
10. A. touch
B. use
C. handle
D. collect
PART VI - Read and fill a suitable word in each blanket:
Christmas is always held ________(1) December the twenty fifth every year. Every family in
England decorates a Christmas tree and puts ________(2) in the middle of the living room. And Santa
Claus plays an important _________(3) in this festival. There is a poem to relate him. In 1823, the

8. D

4. A
9. B

1. B
6. C
11. C
16. C
PART III –points

2. B
7. B
12. B
17. B

3. A
8. C
13. D
18. A

4. A
9. A
14. C
19. B

5. D
10. D

1. scientist

8. interesting - interested
9. going - to go
10. was - were

Part V – points
1. D
6. B
PART VI – points

2. A
7. B

3. C
8. D

4. D
9. C

5. A
10.B


1. ON
6. RED
Part VII- points
1.
2.
3.
4.
5.

I. Choose one of word whose underlined part is pronounced differently from the others.
1. A. christmas

B. character

C. school

D. church

2. A. traveled

B. surprised

C. worked

D. climbed

3. A. tour

B. pour

C. your

4. A. towel

B. down

C. window

D. flower

3. Kim Tan town is……………….. busier.
A. becoming

B. doing

C. making

4. The Smiths never go out in the evening, ……………….?
A. do they

B. don’t they

C. doesn’t he

D. does he

5. Ba is strong enough…………….. his father with the work on the farm.
A. helping

B. help

C. helps

D. to help

6. Last week my child …………… to the biggest zoo in town by my wife.

D. having

5. WAS

A. from

B. for

C. with

D. about

10. You are very different ........................ your brother.
A. to

B. for

C. with

D. from

11. I am better ........................ English than Nam.

A. than

B. with

C. at

D. for

12. He seldom goes fishing, ...................?
A. doesn't he



D. waited

III. Give the correct form of the verbs in brackets .
1. I‘ve decided (stop) ……………...smoking.
2. I (visit) .........................singapore two years ago.
3. Look at those black clouds. It (rain).
4.We are tired of (work)…………… for low salary.
5. This is the second time you (break)……a cup.
6. (you/do) …………… the homework yet?
7. Mai is in her room. She (play) the guitar.
8. The teacher said that we should ( not make ) …………… noise in class.