1 Which planet is the biggest in our solar system?
2 He is the worst doctor I've ever known.
3 She is the happiest woman in our office.
4 This is the most boring film I've ever seen this week.
5 We have many books, but this is the most interesting one.
6 We have many subjects, but I think English is the most important.
7 That is the cheapest hat in our shop, Madam.
8 She is the best singer in America.
9 Maths is the most difficult for me. I like English and Art.
10 He is the most careful student in our school.

1 the biggest

2 the worst

3 the happiest

4 the most boring

5 the most interesting

 Dịch đề: Cho dãy số 2, 7, 12, 17, 22, 27,..., 302, 307. Tìm chữ sồ hàng đơn vị của tích tất cả các số trong dãy.

 Solution (in English):

 In the sequence, there are \(\left(302-2\right):10+1=31\) numbers that end with 2 and \(\left(307-7\right):10+1=31\) numbers that end with 7.

 Therefore, the unit digit of the product is also the unit digit of:

 \(A=2\times2\times2\times...\times2\times7\times7\times7\times...\times7\)

          (31 numbers 2)       (31 numbers 7)

 We have to find out what is the final digit of \(2\times2\times...\times2\)  (31 times) and \(7\times7\times...\times7\) (31 times)

 Consider the number \(N=2\times2\times...\times2\) (\(n\) times)

 If \(n=1\), then \(N=2\)

 If \(n=2\), then \(N=4\)

 If \(n=3\), then \(N=8\)

 If \(n=4\), then \(N=16\rightarrow\) the last digit is 6

 If \(n=5\), then \(N=32\rightarrow\) the last digit is 2

 If \(n=6\), then \(N=64\rightarrow\) the last digit is 4

 If \(n=7\), then \(N=128\rightarrow\) the last digit is 8.

 If \(n=8\), then \(N=256\rightarrow\) the last digit is 6.

...

 From here we can see a pattern: If \(n\) has a remainder of 3 when being divided by 4, the last digit of N is 8. Thus, the final digit of \(2\times2\times...\times2\) (31 times) is 8 since 31 has a remainder of 3 when being divided by 4.

 Using the same method of reasoning, we can deduce that \(7\times7\times...\times7\) (31 times) ends with 3.

 Therefore, the final digit of A must be the final digit of \(8\times3=24\), which is 4.

 So the answer is 4.

The number of terms in the above squence is:

\(\left(307-2\right):5+1=62\) (terms)

The total number squence above is:

\(\left(307+2\right)\times62:2=9579\)

So....

Which class are you in?

How many rooms does your house have?

How many people are there in your family?

Where is your house?

What time is it?

Which class are you in?

- I'm in class 6/1  

How many rooms does your house have?

- My house has three rooms.

How many people are there in your family?

- There are five people in my  family.

Where is your house?

- My house is in the city.

What time is it?

- It's half past nine.

\(#FallenAngel\)

This is my mother, she is a nurse.

This is my mother, she is a nurse.

Lưu ý: my chữ không phải mỹ bạn nhé!

\(#FallenAngel\)

1D

Âm 1 còn lại âm 2

2A

Âm 1 còn lại âm 2

3B

Âm 3 còn lại âm 1

4C

Âm 1 còn lại âm 2

5B

Âm 2 còn lại âm 3

D 

A

B

C

B

Test 31

1 D (id còn lại là t)

2 A (ear còn lại là iar)

3 B (s còn lại là z)

Test 32

1 C (âm 2 còn lại âm 1)

2 A (âm 2 còn lại âm 1)

3 C (âm 1 còn lại âm 2) 

Test 33

1 A (ʊə còn lại au)

2 A (a: còn lại ei)

3 C (i còn lại ai)

Test 34

1 C (âm 2 còn lại âm 1)

2 D (âm 1 còn lại âm 2)

3 C ( âm 1 còn lại âm 2)

She borned on 31st July, 1965.

on

\(#FallenAngel\)

Charles doesn't live far from his aunt's house.

=> Charles doesn't live far from his aunt's house.

\(#FallenAngel\)