I Fill in a word to complete the passage

I have a very close friend. Her name is Nga. She is twelve years old so she is in grade six. She can speak English. She has English on Tuesday and Friday. She can also play the piano. In her room, there is a piano and some books. Every day she gets up at six. She has breakfast at six thirty and goes to school at a quarter to seven. She has her classes from seven o'clock to eleven thirty. Then she comes back home and has lunch at twelve o'clock. It's three o'clock in the afternoon now and Nga is in her room. She is playing the piano.

II Complete the second sentences so that it has the same meaning to the first.

1. Mr Minh has a son, Trung

=> Mr Minh is Trung's father.

2. That motorbike belongs to Mr Trung.

=> That is Mr Trung's motorbike.

3. Does your father cycle to work?

=> Does your father get to work by bike?

4. He goes to work at seven fifteen

=> He goes to work at a quarter past seven.

5. This exercise is very difficult and he can't do it.

=> This exercise is too difficult for him to do.

1.The winter is comes and it can be a very cold winter

is comes → is coming.

2. It is 5 kilometers from my house for school

from my house for → from my house to.

3.When the weather is cool we sometimes walk around the lake at our house.

at → in

4.John plays many kinds of sports so he was strong.

was → is

5.Which do you like,hot weather and cold weather?

and cold weather → or cold weather

Lan: Hello.Which grade are you in?

You: I am in grade six.

Lan: How many classrooms does your school have?

You: It has three floors.

Lan: When do you have English lessons?

You: I have English lessons on Tuesday, Friday and Saturday.

Lan: What time do your classes start?

You: They start at six o'clock.

Ta có:

\(A=3^{1999}-7^{1957}\)

\(A=3^{1996}.3^3-7^{1956}.7\)

\(A=\left(3^4\right)^{499}.27-\left(7^4\right)^{489}.7\)

\(A=\left(\overline{...1}\right)^{499}.27-\left(\overline{...1}\right)^{489}.7\)

\(A=\left(\overline{...1}\right).\left(\overline{...7}\right)-\left(\overline{...1}\right).7\)

\(A=\overline{...7}-\overline{...7}\)

\(A=\overline{...0}\)

Vì \(\overline{...0}\text{⋮}5\)nên A⋮5 (đpcm)

Ta có:

\(B=51^n+47^{102}\)

\(B=\overline{...1}+47^{100}.47^2\)

\(B=\overline{...1}+\left(47^4\right)^{25}.\left(\overline{...9}\right)\)

\(B=\overline{...1}+\left(\overline{...1}\right)^{25}.\left(\overline{...9}\right)\)

\(B=\overline{...1}+\left(\overline{...1}\right)\left(\overline{...9}\right)\)

\(B=\overline{...1}+\overline{...9}\)

\(B=\overline{...0}\)

Vì \(\overline{...0}\text{⋮}10\)nên B⋮10 (đpcm)

ko biết

????????????????????????????

Vì p là số nguyên tố nên p ∈ {2; 3; 5; 7; ...}

Thay p = 2, ta có:

p + 2 = 2 + 2 = 4$⋮2\; và\; p\; +\; 2\; >\; 2$

$=>\; p\; +\; 2\; là\; hợp\; số$

$=>\; p\; =\; 2\; (không\; thỏa\; mãn\; yêu\; cầu)$

$Thay\; p\; =\; 3,\; ta\; có:$

$p\; +\; 2\; =\; 3\; +\; 2\; =\; 5$

$p\; +\; 10\; =\; 3\; +\; 10\; =\; 13$

$Vì\; 5\; và\; 13\; là\; 2\; số\; nguyên\; tố\; nên\; p\; +\; 2\; và\; p\; +\; 10\; cũng\; là\; 2\; số\; nguyên\; tố$

$=>\; p\; =\; 3\; (thỏa\; mãn)$

$Với\; p\; là\; số\; nguyên\; tố\; lớn\; hơn\; 3\; thì\; p⋮̸3$

$=>\; p\; có\; 2\; dạng\; tổng\; quát\; là:\; 3k\; +\; 1\; và\; 3k\; +\; 2$

$Thay\; p\; =\; 3k\; +\; 1,\; ta\; có:$

$p\; +\; 2\; =\; 3k\; +\; 1\; +\; 2\; =\; 3k\; +\; 3\; =\; 3(k\; +\; 1)⋮3\; và\; p\; +\; 2\; >\; 3$

$=>\; p\; +\; 2\; là\; hợp\; số$

$=>\; p\; =\; 3k\; +\; 1\; (không\; thỏa\; mãn\; yêu\; cầu)$

$Thay\; p\; =\; 3k\; +\; 2,\; ta\; có:$

$p\; +\; 10\; =\; 3k\; +\; 2\; +\; 10\; =\; 3k\; +\; 12\; =\; 3(k\; +\; 4)⋮3\; và\; p\; +\; 10\; >\; 3$

$=>\; p\; +\; 10\; là\; hợp\; số$

$=>\; p\; =\; 3k\; +\; 2\; (không\; thỏa\; mãn\; yêu\; cầu)$

$Vậy\; với\; p\; =\; 3\; thì$p + 2 và p + 10 cùng là số nguyên tố

Ta có:

(3n + 2)$⋮(n\; -\; 1)$

$=>\; [(3n\; -\; 3)\; +\; 5]⋮(n\; -\; 1)$

$=>\; [3(n\; -\; 1)\; +\; 5]⋮(n\; -\; 1)$

$Vì\; 3(n\; -\; 1)⋮(n\; -\; 1)\; nên\; để\; [3(n\; -\; 1)\; +\; 5]⋮(n\; -\; 1)\; thì\; 5⋮(n\; -\; 1)$

$=>\; n\; -\; 1$∈ Ư(5)

=> n - 1 ∈ {1; 5}

=> n ∈ {2; 6}

Vậy n ∈ {2; 6}

Gọi d ∈ ƯC(12n + 1, 30n + 2} (d ∈ N)

Ta có:

(12n + 1)$⋮d\; và\; (30n\; +\; 2)⋮d$

$=>\; 5(12n\; +\; 1)⋮d\; và\; 2(30n\; +\; 2)⋮d$

$=>\; (60n\; +\; 5)⋮d\; và\; (60n\; +\; 4)⋮d$

$=>\; [(60n\; +\; 5)\; -\; (60n\; +\; 4)]⋮d$

$=>\; 1⋮d$

$=>\; d$∈ Ư(1)

=> d ∈ {1}

=> ƯC(12n + 1, 30n + 2) = {1}

=> ƯCLN(12n + 1, 30n + 2) = 1

Vậy 12n + 1 và 30n + 2 là hai số nguyên tố cùng nhau với mọi số tự nhiên n.

Ta có:

(4n - 5)$⋮(2n\; -\; 1)$

$=>\; [(4n\; -\; 2)\; -\; 3]⋮(2n\; -\; 1)$

$=>\; [2(2n\; -\; 1)\; -\; 3]⋮($2n - 1)

Vì 2(2n - 1)$⋮(2n\; -\; 1)\; nên\; để\; [2(2n\; -\; 1)\; -\; 3]⋮($2n - 1) thì 3$⋮(2n\; -\; 1)$

$=>\; (2n\; -\; 1)$ ∈ Ư(3)

=> 2n - 1 ∈ {1; 3}

=> 2n ∈ {2; 4}

=> n ∈ {1; 2}

Vậy n ∈ {1; 2}

A. The Red River is shorter than the Nile River.

= The Nile River is longer than the Red River.

B. Music is more interesting than Physics.

= Physics is more boring than Music.

C. Her house has a big garage.

= There is a big garage in her house.