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4. Call that polynomial P (x) = ax3 + bx2 + cx + d
We have P(1)=a+b+c+d=3 (1)
P(2)=8a+4b+2c+d=3 (2)
P(3)=27a+9b+3c+d =7 (3)
P(4)=64a+16b+4c+d =21 (4)
From (1) and (2) => 7a+3b+c=0
From (1) and (4) => 63a+15b+3c=18
=> 12b+6c=-18 => 2b+c=-3
From (1) and (3) =>26a+8b+2c=4=> 13a+4b+c=2
=> 13a+2b=5
It is possible
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Câu 1. Đáp án D few people could read to themselves
Thông tin ở đầu đoạn 1:”Reading to………….reading aloud”. (Đọc thầm 1 mình là 1 hoạt động hiện đại mà hầu như không hề được biết đến đối với các học giả thời cổ điển và thời trung cổ,trong khi vào thế kỷ 15,nói đến đọc nghĩa là đọc lớn tiếng.) |
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Câu 2. Đáp án D widely used
Định nghĩa của commonplace: được sử dung rộng rãi,phổ biến thông dụng |
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Câu 3. Đáp án C a change in the nature of reading
Thông tin ở 2 đoạn 2:”examination of factors………….in character”. (Sự khỏa sát các yếu tố liên quan đến sự phát triển có tính lịch sử của việc đọc thầm đã trở thành lối đọc thông dụng đối với đa số người lớn vì bản thân việc đọc đã thay đổi bản chất.) |
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Câu 4. Đáp án C the increase in literacy
Thông tin ở đầu đoạn 3:”The lát century saw…………………to read aloud”: (Thế kỷ vừa qua chứng kiến 1 sự gia tăng, số người đọc tiềm năng giảm bớt và do vậy nhu cầu đọc lớn tiếng cũng giảm đi.) |
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Câu 5. Đáp án A a decline of standards of literacy
Thông tin ở cuối đoạn 4:”However,………..on the other”: Tuy nhiên dù lợi ích của việc đọc là gì đi nữa,thì cái nền văn hóa chia sẻ tri thức của ngày xưa cũng đã biến mất và bị thay thế bởi 1 nền báo chí và 1 bên là sách vở và các ấn phẩm định kỳ dành cho các độc giả chuyên ngành |
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Câu 6. Đáp án B a limited number of readers in a particular area of knowledge
Số đọc giả có giới hạn chuyên về 1 ngành kiến thức riêng biệt |
| Câu 7. Đáp án B practises reading to an audience (Đọc cho 1 số thính giả nghe) |
| Câu 8. Đáp án A the inappropriate reading skills (Kỹ năng đọc không phù hợp) |
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Câu 9. Đáp án C
The decline of reading aloud was wholly due to its distracting effect. Sự suy giảm việc đọc lớn tiếng la do tác dụng làm phiền người khác của nó |
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Câu 10. Đáp án A explain how reading habits have developed
Tác giả đã cố giải thích thói quen đọc đã thay đổi như thế nào |
1. Nam said he was told to be at school before 7 o`clock
2. Hoa said she might visit her parents in the summer
3. The teacher said we could old book for the poor students
4. She said she didn`n buy this bookl
5. The boy said they had to try their best to win this match
6. Her classmate said Lan was the most intelligent girl in their class
Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions from 55 to 64.
Overpopulation, the situation of having large numbers of people with too few resources and too little space, is closely associated with poverty. It can result from high population density, or from low amounts of resources, or from both. Excessively high population densities put stress on available resources. Only a certainnumber of people can be supported on a given area of land, and that number depends on how much food and other resources the land can provide. In countries where people live primarily by means of simple farming, gardening, herding, hunting, and gathering, even large areas of land can support only small numbers of people because these labor-intensive subsistence activities produce only small amounts of food.
In developed countries such as the United States, Japan, and the countries of Western Europe, overpopulation generally is not considered a major cause of poverty. These countries produce large quantities of food through mechanized farming, which depends on commercial fertilizers, large-scale irrigation, and agricultural machinery. This form of production provides enough food to support the high densities of people in metropolitan areas.
A country’s level of poverty can depend greatly on its mix of population density and agricultural productivity. Bangladesh, for example, has one of the world’s highest population densities, with 1,147 persons per sq km. A large majority of the people of Bangladesh engage in low-productivity manual farming, which contributes to the country’s extremely high level of poverty. Some of the smaller countries in Western Europe, such as the Netherlands and Belgium, have high population densities as well. These countries practice mechanized farming and are involved in high-tech industries, however, and therefore have high standards of living.
At the other end of the spectrum, many countries in sub-Saharan Africa have population densities of less than 30 persons per sq km. Many people in these countries practice manual subsistence farming; these countries also have infertileland, and lack the economic resources and technology to boost productivity. As a consequence, these nations are very poor. The United States has both relatively low population density and high agricultural productivity; it is one of the world’s wealthiest nations.
High birth rates contribute to overpopulation in many developing countries. Children are assets to many poor families because they provide labor, usually for farming. Cultural norms in traditionally rural societies commonly sanction the value of large families. Also, the governments of developing countries often provide
little or no support, financial or political, for family planning; even people who wish to keep their families small have difficulty doing so. For all these reasons, developing countries tend to have high rates of population growth.
From "Poverty" by Thomas J. Corbett
Which of the following is given a definition in paragraph 1?
- A. Poverty
- B. Population density
- C. Overpopulation
- D. Simple farming
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Câu 2:
What will suffer when there are excessively high population densities?
- A. Available resources
- B. Farming methods
- C. Land area
- D. Skilled labor
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Câu 3:
The phrase “that number” in paragraph 1 refers to the number of ______.
- A. resources
- B. countries
- C. people
- D. densities
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Câu 4:
In certain countries, large areas of land can only yield small amounts of food because ______.
- A. there is an abundance of resources
- B. there is no shortage of skilled labor
- C. there are small numbers of laborers
- D. there is lack of mechanization
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Câu 5:
Bangladesh is a country where the level of poverty depends greatly on ______.
- A. population density in metropolitan areas
- B. both population density and agricultural productivity
- C. its population density only
- D. its high agricultural productivity
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Câu 6:
The phrase “engage in” in paragraph 3 is closest in meaning to ______.
- A. escape from
- B. look into
- C. give up
- D. participate in
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Câu 7:
The word “ infertile ” in paragraph 4 probably means ______.
- A. impossible
- B. unproductive
- C. disused
- D. inaccessible
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Câu 8:
Which of the following is TRUE, according to the passage?
- A. In sub-Saharan African countries, productivity is boosted by technology.
- B. There is no connection between a country’s culture and overpopulation.
- C. All small countries in Western Europe have high population densities.
- D. In certain developed countries, mechanized farming is applied.
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Câu 9:
Which of the following is a contributor to overpopulation in many developing countries?
- A. High-tech facilities
- B. High birth rates
- C. Economic resources
- D. Sufficient financial support
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Câu 10:
Which of the following could be the best title for the passage?
- A. High Birth Rate and its Consequences
- B. Poverty in Developing Countries
- C. Overpopulation: A Worldwide Problem
- D. Overpopulation: A Cause of Poverty
2. Tom was seriously advised by his teacher, but he insisted in disturbing the class.
a. Although Tom was seriously advised by his teacher, he insisted in disturbing the class. ....................................................................................................................................
b. In spite of being seriously advised by his teacher, Tom insisted in disturbing the class. ..................................................................................................................................
3. Mary tried several times, but she couldn’t find a taxi.
a. Although Mary tried several times, she couldn’t find a taxi. ..................................................................................................................................
b. In spite of trying several times, Mary couldn't find a taxi ..................................................................................................................................
4. Although he felt tired, he stayed up to keep us company.
Despite feeling tired, he stayed up to keep us company ..........................................................................................................................................
5. They didn’t have much time, however they came to visit us.
In spite of not having much time, they came to visit us. ......................................................................................................................................
6. He is too old, but he still does his gymnastics every morning.
a. Although He is too old, he still does his gymnastics every morning. ...................................................................................................................................
b. Despite being too old, he still does his gymnastics every morning. ......................................................................................................................................
7. Although the shirts are very expensive, people buy them because they are trendy.
In spite of .....the expensive shirts,people buy them because they are trendy..................................................................................................................................
8. Although he had no qualifications for it, he got the job.
In spite of .......having no qualifications for it, he got the job. ...............................................................................................................................
9. I didn’t like the CD you have recommended me, but I bought it all the same.
a. Although ............ didn’t like the CD you have recommended me, I bought it all the same. .......................................................................................................................
b. In spite of......not liking the CD you have recommended me, I bought it all the same .............................................................................................................................
10. I told her all the truth. However she didn’t believe me.
a) Although ...........I told her all the truth, she didn’t believe me........................................................................................................................
b) In spite of........that fact that I told her all the truth, she didn’t believe me ...........................................................................................................................
11. They didn’t play well, but they won the game.
a) Although ......They didn’t play well,they won the game. .............................................................................................................................
b) Despite ........not playing well,they won the game ..............................................................................................................................
12. They felt very cold but they didn’t turn on the heater.
Despite ..........feeling very cold,they didn't turn on the heater................................................................................................................................
13. Bill had a terrible headache. However he kept working.
a) Although ........Bill had a terrible headache, he kept working. ...........................................................................................................................
b) In spite of ............having a terrible headache, Bill kept working ......................................................................................................................
14. He has all the necessary books but he doesn’t use them to study.
Despite ..............having all the necessary books ,he doesn’t use them to study. ............................................................................................................................
15. She works very hard but she doesn’t deserve a raise.
a) Although ..........She works very hard , she doesn’t deserve a raise..........................................................................................................................
b) In spite of ...working very hard , she doesn’t deserve a raise ...............................................................................................................................
16. She is not prepared for the test, but she has to do it.
Despite .........that fact that She is not prepared for the test, she has to do it. .................................................................................................................................
17. She was ill but she had to go to school.
Although ..........She was ill ,she had to go to school..............................................................................................................................
18. It was a nice sunny but there was nobody at the beach.
a) Although ......It was a nice sunny , there was nobody at the beach..............................................................................................................................
b) Is spite of ..........the nice sunny,there was nobody at the beach ,........................................................................................................................
19. He arrived later but he finished work earlier than the others.
Although .........He arrived later , he finished work earlier than the others..............................................................................................................................
20. The new waitress seems honest and diligent. However the boss doesn’t like her.
a) Although ............The new waitress seems honest and diligent, the boss doesn’t like her........................................................................................................................
b) In spite of ....the fact that The new waitress seems honest and diligent, the boss doesn’t like her ....................................................................
11. The teenagers aren’t buying that model these days.
A. That model isn’t being bought by the teenagers these days.
B. That model isn’t bought these days by the teenagers.
C. On these days that model isn’t being bought due to the teenagers.
D. Because of that model isn’t being bought these days by the teenagers
12. People say that he is the most experienced teacher of English.
A. He is said to be the most experienced teacher of English.
B. He is said the most experienced teacher of English.
C. He said the teacher of English is most experienced.
D. That he is the most experienced teacher of English is said by people.
13. People believe that he is a good teacher.
A. It is believed that he was a good teacher. B. He is believed to be a good teacher.
C. They were really believed he is a good teacher. D. He is believed to have been a good teacher.
14. It is thought that he has died a natural death.
A. He is thought to have died a natural death. B. He is thought to be dying a natural death.
C. He is thought to have been dying a natural death. D. He is thought to die a natural death.
15. The coach said, “It’s time for you to go home, boys!”
A. The coach told the boys that it was time for you to go home.
B. The coach tells the boys that it was time for them to go home.
C. The coach told the boys that it is time for them to go home.
D. The coach told the boys that it was time for them to go home.
16.“Why don’t you go with me?” she asked me.
A. He asked me why I don’t go with him. B. He asked me why didn’t I go with him.
C. He asked me why I didn’t go with him. D. He asked me why he didn’t go with me.
17. Why don’t we recycle bottles and cans?
A. We must recycle bottles and cans, mustn’t we? B. What do we recycle bottles and cans for?
C. Shall we recycle bottles and cans? D. How can we recycle bottles and cans?
18. “Why don’t you use the new car, Mr Son?” said Nam.
A. Nam made Mr Son to use the new car. B. Nam asked Mr Son not to use the new car.
C. Nam suggested that Mr Son use the new car. D. Nam suggested that Mr Son uses the new car.
19“Why don’t you use the new car, Mr. Son?” said Nam
A. Nam made Mr. Son to use the new car. B. Nam asked Mr. Son not to use the new car.
C. Nam suggested that Mr. Son use the new car. D. Nam suggested that Mr. Son uses the new car.
20.“You should not lend Susan any more money, Linda” said Nancy.
A. Nancy advised Susan not to borrow any more money from Linda.
B. Nancy advised Linda not to lend Susan any more money.
C. Linda advised Susan not to lend Linda any more money.
D. Nancy advised Linda to lend Susan some more money.