Cổng Arch tại thành phố St Louis của Mỹ có hình dạng là một parabol. Biết khoảng cách giữa hai chân cổng bằng 162m. Trên thành cổng, tại vị trí có độ cao 43m so với mặt đất, người ta thả một sợi dây chạm đất ( dây căng thẳng theo phương vuông góc với đất ). Vị trí chạm đất của đầu sợi dây này cách chân cổng một đoạn 10m. Giả sử số liệu trên là chính xác. Hãy tính độ cao của cổng Arch ( tính từ mặt đất đến điểm cao nhất của cổng )

1. My speech lasted longer than yours.

a. Your speech didin't last longer than mine.

b. Your speech was shorted than mine.

c. Your speech didn't last long as mine.

d. Your speech didn't last as long as mine.

2. I Malaysia, the national language calls the Bahasa Malaysia.

a.Malaysia b.national c.calls d.Bahasa

3. What type of clothing do you often wear on Tet?

a.What b.clothing c.wear d.on

4.We walked for half a hour to reach the village.

a.for b.half c.a d.to reach

5. This is the most peaceful place I ever visited.

a.is b.most c.peaceful d.ever visited

1. I can't give you a ride because my bike ................

a. is repaired b.repaired is being repaired d.was repaired

2. He suffers ................ poor vision and hearing.

a.at b.in c.from d.over

3. Why don't you have your sister ................ you withthose difficult exercises.

a.to help b.helps c.helped d.help

4.This is the first time I ................ Japanese food.

a.eat b.have eaten c.ate d.will eat

5. Who ................ the computers?

a. did invent b. invented c.invents d.is inventing

6. My neighbors ................ to me for more than two months.

a.haven't spoken b.don't speak c.won't speak d.didn't speak

7. I would like you ................ here.

a.be b.being c.to be d.are

8. Mike got ................ quickly and then went to work.

a.dress b.dressing c.dressed d.being dressed

9. Are you succeeded in ................ that hard exmination?

a.passing b.to pass c.passed d.being passed

1. I practise to speak English a lot because I don't want to fail the oral exam.

a.to speak b.a lot c.fail d.oral

2. I can't work at all. My computer isn't working proper.

a.can't b.at all c.isn't working d.proper

3. I'm excited on that film we saw yesterday very much.

a.excited b.on c.saw d.yesterday

4. It's necessary that every member joins in this recycling program.

a.necessary b.every c.joins d.recycling

5. Please remember posting the letter for me when you get to the post office

a.posting b.for c.when d.get

1. People often said that it was never too late .................

a.studying b.to study c.being studied d.studied

2. We can raise funds by ................. glass and waste paper.

a.collecting b.collect c.collected d.collects

3.Could you do me a favor? - .................

a.Why? b.What can I do for you?

c.I'm sorry. I'm really busy. d. Both A&B are correct

4. How did you go to school when you were a little boy?

- ................. foot.

a. with b.on c.at d.over

5. " Do you know how ................. your name?" A man asked a little gril

a. spell b.to spell c.spelling d.spelled

1. Do you like swimming?

a. Are you interested in swimming?

b. Are you keen on swimming?

c. Both A&B are correct

d. Both A&B are incorrect

2."Why son't we go to the cinema this evening?" He said to me

a. He suggested going to the cinema this evening

b. He suggested that we should go to the cinema that evening

c. Both A&B are correct

d. Both A&B are incorrect

3. "It's a pity you can't understand how I feel about you."

a. I wish I could understand how I feel about you.

b.I wish I could understand how I felt about you.

c. I wish I undertood how I feel about you.

d.All are correct.

4. Which sentence is correct?

a. I am studying French so that I can get a job in a French company.

b. I am studying French to get a job in a French company.

c. I am studying French so as to get a job in a French company.

d.All are correct.

5. I'm pleased to hear you had an enjoy summer vacation.

a.pleased b.hear c.enjoy d.vacation

6. My younger sister was afraid for dogs, but now she isn't.

a.younger b. was c.for d.isn't

7. What do you often do at your free time?

a.What b.do c.at d.free

8 We use to participate in many social activities in our neighborhood.

a.use b.in c.activities d.in

9. Don't you know the important of self-study?

a.Don't b.know c.important d.of

10. She fell and hurt herself quite bad.

a.fell b.hurt c.herself d.bad

11. It's very interesting seeing the movie tonight.

a.very b.interesting c.seeing d.tonight

1. Joe has to stay at home to ............... her younger sister.

a.look for b.look up c.look after d.look over

2. It's ............... in America to eat turkey on Thanksgiving Day.

a.tradition b.traditional c.traditionalize d.traditionalist

3. She ............... some strange noise at midningt last night.

a.hears b.heard c.has heard d.will hear.

4. If he fails the final examination, he won't be able to ...............

a.graduate b.graduating c.graduation d.graguated

5. Let's ............... every nice moment we have.

a.cherishing b.cherishes c.cherisher d.cherish

6. ............... you save some money you will never be able to buy car.

a.If b.Unless c.Although d.As

7.They practise yoga ............... improve their health.

a.so as to b.in order to c.to d.All are correct

8.You should not spend much time on ............... TV.

a.watch b.to watch c.watching d.watched

9.Study harder or you ............... the next exam.

a.fail b.failed c.will fail d. failing

1. Fortunately, Nick was too short to be a good baskball player.

a.Fortunately b.was c.too d.to be

2. We can't have breakfast in the garden because it was very cold.

a.can't b.breakfast c.because d.was

3. If you want to attend the course, you must pass the writting test.

a.If b.to attend c.must pass d.writting test

4. She was so tired that she decides to go to bed early.

a.was b.tired c.decides d.early

5. The swimming isn't enough deep for us to dive into.

a.isn't b.enough deep c.for d.into

6. The people in my town often go to the village have a rest after a hard working week.

a.in b.go c.have d.working

7. What aspect for learning English do you find most difficult?

a.What b.for c.most d.difficult

8. He was very good in Maths when was at school?

a.was b.in c.when d.at

1. .................. terrible weather!

a.What b.What a c.How d.How a

2. After a lot of difficulties, he .................. to open the door.

a.succeeded b.managed c.obtained d.realized

3." I will succeed, .................. a little help from my friend." He said.

a.to b.for c.with d.of

4. .................. air is not good for ..................

a.Pollute / health b. Pollted / health c. pilluting / healthy d. Pollution / healtheier

5. Conversation is one of the most .................. forms of entertainment.

a.enjoyable b.enjoying c.enjoyed enjoy

6. I haven't seen my classmates .................. we left school.

a.for b.since c.over d.during

7. How long .................. you .................. for this company?

a. did/work b.do/work c.have/worked d.will/be worked

8. Sue is my friend. She is a friend of ..................

a.me b.my c.mine d.I

9. If i .................. you, I .................. by train.

a.am/will go b.were/would go c.was you/will go d.will be/will go

10. Yesterday, we did nothing but ..................

a. talking b.talk c.talked d.have talked