a) cho a=3^n-1+3^n-1

           b=2.3^n-1-3^n+1

Hãu chứng tỏ rằng trong hai số a và b cũng có ít nhất một sô không chia hết cho 7

b)Tìm số dư khi tổng A=1+3+3^2+3^3+3^4+...+3^2011 cho 13

a) cho a=3^n-1+3^n-1

           b=2.3^n-1-3^n+1

Hãu chứng tỏ rằng trong hai số a và b cũng có ít nhất một sô không chia hết cho 7

b)Tìm số dư khi tổng A=1+3+3^2+3^3+3^4+...+3^2011 cho 13

tìm x biết:x-6/50+x-6/51=x-6/52+x-6/53

tìm x biết:

x-6/50+x-6/51=x-6/52+x-6/53

Viết lại những câu sau, bắt đầu bằng các từ cho trước sao cho nghĩa không đổi: (1 điểm)

37. Walking in the rain gives my brother pleasure.

-> My brother enjoys ________________________________________________________________

38. Have you ever played a computer game before?

-> Is this  _________________________________________________________________________

39.  I began to stay here 5 years ago.

-> I have _________________________________________________________________________

40. No one in our school is as intelligent as Mai is.

-> Mai is _________________________________________________________________________

Đọc đoạn văn sau và trả lời các câu hỏi: (1 điểm)

People usually sing because they like music or because they feel happy. They express their happiness by singing. When a bird sing, however, its song usually means much more than that the bird is happy. Birds have many reasons for singing. They sing to give information. Their songs are their language.

The most beautiful songs are sung by male (cock) birds. They sing when they want to attract a female bird. It is their way of saying that they are looking for a wife. Birds also sing to tell other birds to keep away. To a bird, his tree or even a branch of tree, is his home. He does not want strangers to come near him, so he sings to warn them. If a bird cannot sing well, he usually has some other means of giving important information. Some birds dance spread out their tails or make other sings. One bird has a most unusual way of finding a wife. It builds a small garden of shells and flowers.

33. Why do people sing?

________________________________________________________________________

34. Do birds sing to give information?

________________________________________________________________________

35. When do male birds sing?

________________________________________________________________________

36. What is a home of a bird?

________________________________________________________________________

Cho dạng đúng của động từ trong ngoặc để hoàn thành các câu sau: (1 điểm)

29. ______ you ever (see) ______ a real robot at work ? – No, never.

30. We (plant) _________some young trees in our garden yesterday.

31. I (read) _________that novel three times.

32. John (stay) ____________ with us since last week. 

Chọn đáp án đúng để điền vào các chỗ trống trong đoạn văn sau: (1 điểm)

Do you sometimes have problems with your neighbor such as noise or littering? Well, the people of Pilton Somerset, England have such problems (21) _______ summer. For three or four days every year, the village is full (22) _______people of all ages who come here for the annual Glastonbury pop music festival. They usually stay in tents and motorhomes. They leave drink cans and papers all over the street. The music (23) _______until the early hours of the morning, and you can hear people talking and singing all night. The quiet country village becomes a nightmare to live and some villagers are even thinking of moving to another village. (24) _______villager said that last year; “I don’t want stop the Festival. I just want the fans to enjoy the festival without disturbing normal village life”.

21. A. every                B. per                          C. some                       D. another

22. A. in                      B. of                            C. on                           D. at

23. A. play                  B. played                     C. playing                    D. to play

24. A. Some                B. A                            C. An                          D. Several

Chọn phần gạch chân chứa lỗi sai trong các câu sau: (1 điểm)

17. They have just broadcasted an interesting programme on VTV1.

                 A                 B                   C                             D

18. He is the most fast runner that I have ever met.

                         A                    B                C   D

19. He entered the room, choose a novel and read it for 2 hours.

                        A                 B                        C        D

20. Would you like going for a walk with me?

                                  A     B     C       D

Chọn một đáp án đúng nhất để hoàn thành các câu sau: (3 điểm)

5. Nam: “What TV programme do you like?” – Quang: “_________. I like Tom and Jerry most.”

A. Cartoons                            B. The news                       C. Documentaries              D. Films

6. I like _________because I like to learn about the numbers.

 A. literature                           B. geography                     C. history                           D. math

7. The hotel is in the front of the car park, so the car park is _________the hotel.

A. between                             B. behind                           C. next to                           D. opposite

8. People often play sports at the _________.

A. factory                               B. movie theater                C. stadium                         D. bakery

9. Why do you like flowers? Because _________beautiful.

A. They're                               B. It's                                 C. There're                         D. We're

10. The weather is _________in the desert.

A. hot                                     B. warm                             C. cold                               D. foggy

11. Her _________season is spring.

A. nice                                    B. beautiful                        C. favorite                         D. interesting

12. We save the earth by not _________ down forests.

A. make                                  B. lifting                            C. cutting                           D. bringing

13. There isn't _________in the next room.

A. someone                            B. no one                           C. anyone                          D. somebody

14. The football match _________ place at three o'clock.

A. does                                   B. takes                              C. watches                         D. finishes

15. Could I have a _________of matches, please?

A. bar                                     B. can                                C. box                                D. bottle

16. He’s just _______ to the supermarket. He will be back in an hour.

A. been                                   B. gone                              C. come                             D. visited