Lên google

16. My friend is from Egypt, and this is a picture of _____ parents.

A. him

B. his

C. he

D. he’s

17. My father is very _____ . He always helps other people.

A. kind

B. polite

C. clever

D. funny

18. Andy: “Where are you from?” Kate: “I’m from Spain. I’m _____.”

A. Canadian

B. American

C. Spanish

D. Brazilian

19. There are some _____ on the wall.

A. chairs

B. books

C. cupboards

D. posters

20. Minh: “Has your house got a garden?” Lam: “_____”

A. Yes, it has.

B. Yes, it is.

C. Yes, there is.

D. Yes, it has got.

21. There’s a _____ next to my house. My mum often goes shopping there.

A. supermarket

B. museum

C. garage

D. theatre

22. There is a sink in the _____. It's next to the fridge.

A. garden

B. bathroom

C. kitchen

D. living room

23. The books are _____ the lamp, to the left.

A. in

B. above

C. below

D. next to

24. I like going to the _____ with my friends to watch films.

A. bookshop

B. library

C. cinema

D. post office

25. There’s a park _____ my house. It's across the road.

A. opposite

B. under

C. on

D. next to

26. My _____ is on the sixth floor of the building.

A. detached house

B. flat

C. cottage

D. bungalow

Choose the underlined part that needs correcting.

27. My aunt has got two son and one daughter.

A. aunt

B. has

C. son

D. daughter

28. I have got some picture of my favourite singer on the wall.

A. have

B. picture

C. favourite

D. on

29. These are the girl notebooks.

A. These

B. are

C. girl

D. notebooks

30. There isn’t some fruit juice in the fridge.

A. There

B. some

C. juice

D. in

READING

Choose the best option to complete the text.

My family is important to me. There are four members in my family. My father is 45 years old. He works for an international company. He likes sports, and he often (31)_____ tennis after work. My father is also kind and friendly. He often teaches me how to be a good person. My mother is 42 years old. She has got (32)_____ black hair. She spends most of her time looking after the family and (33)_____ housework. I love her very much. My younger sister is 11 years old. She often listens to music and watches TV. (34)_____ favourite sport is football. We usually get up early at 5:30 every morning. After breakfast, my sister and I go to school. We study there until late afternoon. After that, we together have dinner and watch television in the (35)_____.

31. A. does

B. plays

C. takes

D. goes

32. A. thin

B. tall

C. big

D. long

33. A. do

B. does

C. to do

D. doing

34. A. She

B. Hers

C. Her

D. She’s

35. A. kitchen

B. garden

C. garage

D. basement

Read the text about Minh's home. Write R (right) or W (wrong).

MY HOME

Hello! My name’s Minh. I live in a flat with my family in Ho Chi Minh City. The flat is on the third floor of a building. It has got a living room, two bedrooms, two bathrooms, and a kitchen. My flat has all the necessary furniture that we need. It’s not big but clean. I have a wonderful place to play after school hours. That’s my bedroom. It has a bed, a wardrobe, and a playing corner. From my flat, it’s easy and convenient to go to many places, such as supermarkets, parks, and cinemas in the city. However, some of my neighbours sometimes have parties, and they play loud music in the evenings. It makes lots of noise, and I feel tired. In the future, I would like to live in a detached house with a garden and a garage.

36. Minh's family lives in a three-floor building.                                       ___W___

37. There are two bathrooms in his flat.                                         ___R___

38. He doesn’t like staying in his flat after school.                          __W____

39. It’s difficult to move from Minh's flat to other places in his city.          ___W___

40. He wants to live in a house with a garden.                               ___R___

WRITING

Rearrange the given words to make complete sentences.

41. houses/ expensive./ Detached/ are/ and/ big

______Detached houses are big and expensive____________________________________________________________

42. of/ The/ colour/ blue./ armchair/ the/ is

___The colour of the armchair is blue_______________________________________________________________

43. favourite/ My/ basketball./ sport/ is

_______My favourite sport is basketball___________________________________________________________

44. has/ house/ My/ garden./ got/ a/ garage/ and/ a/ big

_____My house has got a garage and a big garden_____________________________________________________________

45. down/ turn/ Orange Street/ Go/ and/ left/ High Street./ into

_______Go down Orange Street and turn left into High Street___________________________________________________________

Make questions for the underlined words.

46. There are four rooms in Lina's house.

________How many rooms are there in Lina's house__________________________________________________________

47. The desk is next to the wardrobe.

_____What is next to the wardrobe?_____________________________________________________________

Make questions for the underlined words.

48. People call Gareth the Welsh Wizard.

___What do people call Gareth_______________________________________________________________

49. I like spending time with my family.

_______Who do you like spending time with?___________________________________________________________

50. No, there isn't a garden in my house.

________Is there 2 garden in your house?__________________________________________________________ 

Ta có: \(\overline{abcabc}=\overline{abc}\times1001\)

Mà: \(1001=7\times11\times13\)

\(\Rightarrow\overline{abcabc}=\overline{abc}\times7\times13\times11\) ⋮ 7, 13, 11 (đpcm) 

11 B

12 A

13 D

14 A

15 D

 Sửa lại đề bài là \(cos\left(15^o+2\alpha\right)\) (chứ không phải là \(cos^2\left(15^o+2\alpha\right)\) nhé)

 Ta có \(VT=sin^2\left(45^o+\alpha\right)-sin^2\left(30^o-\alpha\right)-sin15^o.cos^2\left(15^o+2\alpha\right)\)

\(=\left[sin\left(45^o+\alpha\right)+sin\left(30^o-\alpha\right)\right]\left[sin\left(45^o+\alpha\right)-sin\left(30^o-\alpha\right)\right]-sin15^ocos^2\left(15^o+2\alpha\right)\)

\(=2sin\left(\dfrac{75^o}{2}\right)cos\left(\dfrac{2\alpha+15^o}{2}\right).2cos\left(\dfrac{75^o}{2}\right)sin\left(\dfrac{2\alpha+15^o}{2}\right)-sin15^ocos^2\left(15^o+2\alpha\right)\)

\(=sin75^o.sin\left(2\alpha+15^o\right)-sin15^o.cos^2\left(2\alpha+15^o\right)\)

\(=sin\left(2\alpha+15^o-15^o\right)\) (dùng \(sin\left(\alpha-\beta\right)=sin\alpha.cos\beta-sin\beta.cos\alpha\))

\(=sin2\alpha=VP\)

Vậy đẳng thức được chứng minh.

Mấy chỗ kia bạn sửa hết \(cos^2\left(15^o+2\alpha\right)\) thành \(cos\left(15^o+2\alpha\right)\) nhé.

Hai xe đầu chở được số kilogam hàng là:

\(2\times750=1500\left(kg\right)\)

Ba xe tiếp theo chở được số kilogam hàng là:

\(3\times1250=3750\left(kg\right)\)

Trung bình mỗi xe chở được số kilogam hàng là:

\(\left(1500+3750\right):5=1050\left(kg\right)\)

Đổi: 1050 kg = 105 yến 

Đáp số: .... 

tổng 2 xe trả số kg là :

  750 + 1250 = 2000 [ kg ]

Đổi 2000=200 yến 

trung bình mỗi xe chở đc số yến là :

   200 : [ 3+2 ]=40[yến]

    đáp số 40 yến hàng

\(2\times3=6\)

\(8-4=4\)

\(4\times10=40\)

\(5\times1=5\)

\(2\times9=18\)

\(5\times2=10\)

2x3=6        8-4=4        4x10=40

5x1=5         2x9=18      5x2=10

\(A=2+2^2+...+2^{20}\)

\(2A=2^2+2^3+...+2^{21}\)

\(2A-A=2^2+2^3+...+2^{21}-2-2^2-...-2^{20}\)

\(A=2^{21}-2\)

___________

\(B=5+5^2+...+5^{50}\)

\(5B=5^2+5^3+...+5^{51}\)

\(5B-B=5^2+5^3+...+5^{51}-5-5^2-...-5^{50}\)

\(4B=5^{51}-5\)

\(B=\dfrac{5^{51}-5}{4}\)

___________

\(C=1+3+3^2+...+3^{100}\)

\(3C=3+3^2+...+3^{101}\)

\(3C-C=3+3^2+...+3^{101}-1-3-3^2-...-3^{100}\)

\(2C=3^{101}-1\)

\(C=\dfrac{3^{101}-1}{2}\)

2A= 2(2+2²+2³+...+2¹⁹+2²⁰)

2A= 2²+2³+2⁴+...+2²⁰+2²¹

2A-A=(2²+2³+2⁴+...+2²⁰+2²¹)-(2+2²+2³+...+2¹⁹+2²⁰)

A=2²¹-2

Vậy A=2²¹-2

Làm tương tự nhee

Tuổi con hiện nay là:

\(\dfrac{1}{6}\times36=6\) (tuổi)

Lúc con sinh ra thì bố có số tuổi là:
\(36-6=30\) (tuổi)

Năm đó là năm:

\(2023-6=2017\) 

Đáp số: ... 

Tuổi con hiện tại là:

\(36\cdot\dfrac{1}{6}=6\left(tuổi\right)\)

Tuổi bố lúc con mới sinh ra:

\(36\cdot6=30\left(tuổi\right)\)

Bố sinh con ra vào năm:

\(2023-6=2017\)

Đáp số: 30 tuổi và năm 2017

Bạn phải ấn tổ hợp phím: Ctrl + F5 nhé chứ chỉ ấn F5 thôi thì không được !

Để \(\overline{40a5b}\) chia hết cho 5 thì \(b\in\left\{0;5\right\}\)  

Mà số này chia hết cho 9 nên \(4+0+a+5+b=9+a+b\) ⋮ 9

Với \(b=0\)

\(9+a+0=9+a=9\) 

\(\Rightarrow a=0\)

Với \(b=5\)

\(9+a+5=14+a=18\)

\(\Rightarrow a=4\) 

Vậy các cặp số  (a;b) thỏa là \(\left(0;0\right);\left(4;5\right)\)

giúp mình với nha