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1. He can’t go out because he has to study for his exam. => If………he didn't have to study for his exam, he could go out…………………………………………..
2. She is lazy so she can’t pass the exam. If……she weren't lazy, she could pass the exam…………………………………………………
3. He will pay me tonight; I will have enough money to buy a car. => If………he pays me tonight, I will have enough money to buy a car.…………………………………………………….
4. He smokes too much; that’s why he can’t get rid of his cough. => If……he didn't smoke too much, he could get rid of his cough………………………………………………………..
5. She is very shy, so she doesn’t enjoy the party. => If…………she weren't shy, she would enjoy the party…………………………………………………..
6. I will get a work permit. I will stay for another month. => If………we get a work permit. I will stay for another month ……………………………………………………..
In a hour, Tom and Jack can do: \(\frac{1}{3}\) (the job)
In a hour, Tom can do: \(\frac{1}{4}\) (the job)
So in a hour, Jack can do: \(\frac{1}{3}-\frac{1}{4}=\frac{1}{12}\) (the job)
Thus, if Jack built the same fence alone, it would take 12 hours.
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
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.
Giải thích đáp án:
1. B (câu này tính theo quy luật là ra ngay)
2. A (câu này thuộc dạng tỉ lệ thuận, tỉ lệ nghịch)
3. D
Câu này đánh lừa được rất nhiều bạn! Từ 27 phôi thép, bạn làm được 27 chi tiết, từ các phần thừa tạo tiếp được 9 phôi thép. Từ 9 phôi này các bạn cũng làm ra được 9 chi tiết máy, và phần thừa tạo tiếp được 3 phôi thép. Từ 3 phôi này các bạn tạo ra được 3 chi tiết máy và 1 phôi thép. Phôi thép này cũng tạo ra được 1 chi tiết máy.
Như vậy có tổng 27 + 9 + 3 + 1 = 40 (chi tiết máy)
4. B
5. stir-fried noodle (dùng biểu đồ Venn hoặc phương pháp đồ thị để tìm ra lời giải. Lưu ý "fish rice" chỉ thỏa mãn 2/3 yếu tố)
6. 14 (tương tự câu 4, ta cũng dùng nguyên lí Dirichlet)
7. 19 (câu này nhiều bạn đã tìm được quy luật)
Exercise 1: Put the verbs in the brackets in the correct tense 1. If I had a typewriter, I ............would type.............(type) it myself. 2. If I ............knew.............(know) his address, I'd give it to you. 3 .He ............would look.............(look) a lot better if he shaved more often. 4. If you .............played............(play) for lower stakes, you wouldn't lose so much. 5. If he worked more slowly, he .........wouldn't make................(not make) so many mistakes. 6. I shouldn't drink that wine if I ...........were..............(be) you. 7. More tourists would come to this country if it ............had.............(have) a better climate. 8. If I were sent to prison, would you .............visit............(visit) me? 9. If someone ..........gave...............(give) you a helicopter, what would you do with it? 10. I ...............would buy..........(buy) shares in that company if I had some money. Exercise 2: Using the given information, make conditional sentences with IF 1. They are poor, so they can’t help us. → If they .............................weren't poor, they could help us...................................................................... 2. He doesn’t do his homework. He is always punished. → If he ..................................did his homework, he wouldn't be always punished...................................................................
3. He doesn’t have enough time. He can’t help me. → If he .........................................had enough time, he could help us............................................................. 4. She doesn’t take any exercise, so she is overweight. → If she ........................................took some exercises. she wouldn't be overweight............................................................ 5. He doesn’t have a bicycle, so he always goes to class late. → He wouldn’t ........................................go to class late if he had a bicycle................................................... 6. I am bad at English, so I can’t do homework. → I could .........................................do homework if i were bad at english.......................................................... 7. He doesn’t practise speaking French, so he doesn’t speak it fluently. → If he .............................................practised speaking english french, he would speak it fluetly.......................................................... 8. The meeting can be cancelled because it snows heavily. → If it ......................................didn't snow heavily, the meeting couldn't be cancelled............................................................... 9. We don’t go because it will rain. → If it ..................................didn't rain, we would go ...................................................................... 10. John is fat because he eats so many chips. → If John .......................................didn't eat so any chips, he wouldn't be fat...........................................................
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