How many of the fractions in the list \(\frac{1}{6};\frac{2}{7};\frac{3}{8};......;\frac{2012}{2017};\frac{2013}{2018}\) are irreducible?
Câu hỏi 1:
The average of three numbers is 1988. The first number is 1984. The third number is 2 units more than the second number. Find the third number.
Câu hỏi 2:
The average of 5 consecutive odd numbers is 123. Find the greatest number.
Câu hỏi 3:
Which of the following fractions is equal to 2/3?
Câu hỏi 4:
The average of two numbers is 95. The first number is 2/3 of the second number. Find the first number
Câu hỏi 5:
Fill in the blank with the correct number: 6/100 kg = .... kg
Câu hỏi 6:
The sum of two fractions is 45/23 and the first fraction is one quarter of the second fraction. Find the first fraction.
Câu hỏi 7:
The sum of twonumbers is 463 and three are eighteen even numbers between these numbers. Find the greater number.
Câu hỏi 8:
Which of the following fractions is the greatest number?
Câu hỏi 9:
The average of two numbers is 95. The first number is 2/3 of the second number. Find these two numbers.
Câu hỏi 10:
The sum of the number of lions and monkeys in a zoo is 40 and lions are 1/3 the number of monkeys. How many monkeys are there in the zoo?
VOCABULARY Work in pairs. Look at the list of personality adjectives below. Then underline four more in the dialogue in exercise 2. How many other personality adjectives do you know?
Adjectives describing personality:
flexible | hard – working | honest | kind |
loyal | organised | outgoing | patient |
reliable | sensitive | shy |
|
- Four personality adjectives in the dialogue
(4 tính từ mô tả tính cách trong bài)
friendly (thân thiện)
punctual (đúng giờ)
confident (tự tin)
brave (dũng cảm)
Ruby: So, this is your first school show, Mason. Are you excited about it?
Mason: Yes, I am. But I'm anxious too. There's going to be a big audience!
Ruby: Don't worry. They’re friendly!
Mason: I hope so. Where’s Alex? He isn't here yet.
Ruby: That's strange. He's usually very punctual.
Mason: Maybe he's too frightened to come.
Ruby: Alex? No, it can't be that. He's a really confident person.
Miss Hart: Hello, Mason. I had a message from Alex. He’s ill and can't perform tonight. He's very upset about it. Can you sing this song in the second half?
Mason: I know the song well, so maybe…
Miss Hart: Thanks, Mason. That's brave of you. Don't worry, you’ll be great.
Ruby: You've got your own song now. How exciting!
Mason: I know. But I'm terrified!
- I know 6 more personality adjectives: sociable, timid, clever, bossy, introvert, extrovert.
(Tôi biết thêm 6 tính từ tính cách: hòa đồng, rụt rè, khéo léo, hách dịch, hướng nội, hướng ngoại.)
VOCABULARY Look at the list of tourist and visitor attractions below. Then underline three more in the dialogue. How many more can you think of?
Tourist and visitor attractions aquarium castle cathedral church harbour market monument mosque
museum national park old town opera house palace park restaurant ruins shopping district square statue theatre tower wildlife park
- castle (n): lâu đài
- cathedral (n): nhà thờ
- harbour (n): cảng
- market (n): chợ
- monument (n): đài tưởng niệm
- mosque (n): nhà thờ Hồi giáo
- museum (n): bảo tàng
- national park (n): công viên quốc gia
- old town (n): phố cổ
- opera house (n): nhà hát opera
- palace (n): cung điện
- park (n): công viên
- restaurant (n): nhà hàng
- ruins (n): tàn tích
- shopping district (n): khu mua sắm
- square (n): quảng trường
- statue (n): bức tượng
- theater (n): nhà hát
- tower (n): tòa tháp
- wildlife park (n): công viên động vật hoang dã
Lời giải:
Dave: Hi, Lan. Did you have a good holiday?
Lan: Yes, it was great, thanks.
Dave: What did you get up to?
Lan: I went on a city break with my family.
Dave: Abroad?
Lan: No, we went to Da Nang.
Dave: Cool. Did you have a good time?
Lan: Yes, we visited Ba Na Hills and Hoi An Ancient Town. We bought a lot of souvenirs.
Dave: Did you go on a boat trip to Cham Island?
Lan: No, the weather was bad. How was your holiday?
Dave: Not bad. But I didn't do much. We didn’t go away. I hung out with my friends. We went to a music festival and we visited a theme park a couple of times.
Lan: Sounds fun.
Dave: Yes, it was OK. Just a shame the holidays weren’t longer!
3 more tourist and visitor attractions in the dialogue: hills, ancient town, island.
(Thêm 3 điểm thu hút khách du lịch và khách tham quan trong cuộc đối thoại: đồi, phố cổ, đảo.)
I can think of some: landmarks, lakes, walking streets.
(Tôi có thể nghĩ ra một số: cột mốc, hồ nước, phố đi bộ.)
Dịch sang tiếng việt rồi giải
1. fraction\(\frac{6}{35}\)can be written as the product of two fractions of which the numerator and the denominator are one-digit postitve intergers
For instance: \(\frac{6}{35}=\frac{2}{3}.\frac{5}{7}\)
Look for different writtings.
2. Puzzle: there are a pairs of fractions that when we multiply or add them together, we recive the same results
For instance: the pair of fractions \(\frac{7}{3}\)and\(\frac{7}{4}\)has:
\(\frac{7}{3}.\frac{7}{4}=\frac{7.7}{3.4}=\frac{49}{12}\)
\(\frac{7}{3}+\frac{7}{4}=\frac{7.4+7.3}{12}=\frac{49}{12}\)
We ask you a riddle to find another pair of fractions having that property
1.Three pumpkins are weighed in pairs in all possible ways. The weights of all these pairs are 8kg, 9kg and 11kg. How much does the lightest pumpkin weight?
2.It takes Jack 42 minutes to cut a long log of wood into seven pieces. How long will it take him to cut that log of wood into nine pieces?
3.The sum of two fractions 1/2 and 1/3 is a fraction with denominator of 12. Find its numerator
4.The floor of a rectangular room is covered with square tiles. The room is 24 tiles long and 16 tiles wide. The number of tiles in the outer border of the floor is ?
5.The average of 4, 8, X and 13 is 8. The value of X is ?
6.How many zero digits are there in ten million?
7.Fill the missing number in the blank
44444 = 40000 +400+ ............ + 4
8.There are 3 children in a family,Jack,Mary and Peter.Mary can clean the house for 1 hour.Jack can do thesame job for 2 hours and Peter needs 6 hours.If theydo the job together then they need ........... minutes.
9.MNPQ is a square that is made up of two identical rectangles and two squares of area 9 and 16CM2 . The area of the square MNPQ is ? CM2
TO SE TICK CHO AI NHANH VA DUNG
1. Ba bí ngô được cân nặng theo cặp trong tất cả các cách có thể. Các trọng số của tất cả các cặp là 8kg, 9kg và 11kg. Bao nhiêu trọng lượng bí ngô nhẹ nhất?
2. Phải mất Jack phút 42 để cắt một khúc gỗ dài của gỗ thành bảy miếng. nó sẽ đưa anh ta bao lâu để cắt mà log gỗ thành chín miếng?
3. Tổng của hai phân số 1/2 và 1/3 là một phần nhỏ với mẫu số của 12. Tìm tử số của nó
4. Các sàn của một căn phòng hình chữ nhật được bao phủ với gạch vuông. Các phòng dài 24 gạch và rộng 16 gạch. Số gạch ở biên giới phía ngoài của tầng này là?
5. trung bình 4, 8, X và 13 là 8. Giá trị của X là?
6. Có bao nhiêu chữ số 0 ở đó trong mười triệu?
7. Điền số còn thiếu vào chỗ trống
44.444 = 40000 +400+ ............ + 4
8. Có 3 trẻ em trong một gia đình, Jack, Đức Maria và Peter.Mary có thể làm sạch nhà trong 1 giờ .Jack có thể làm cùng một công việc trong 2 giờ và Peter cần 6 giờ. Nếu họ thực hiện công việc với nhau sau đó họ cần phút ............
9.MNPQ là một hình vuông được tạo thành từ hai hình chữ nhật giống hệt nhau và hai hình vuông của khu vực 9 và 16CM2. Diện tích của hình vuông MNPQ là? CM2
VOCABULARY In paragraphs 1 and 2, underline four things (excluding vehicles) that you might find in the street. How many more items can you add to the list?
- Four things I might find in the street: Statue of Rocky, a stop sign, a lamp post, a parking meter.
(Bốn thứ tôi có thể tìm thấy trên đường phố: Tượng Rocky, biển báo dừng, cột đèn, đồng hồ đỗ xe.)
- Additional items that could be added to the list include sidewalks, benches, trees, trash cans, mailboxes, public fountains.
(Các mục bổ sung có thể được thêm vào danh sách bao gồm vỉa hè, băng ghế, cây cối, thùng rác, hộp thư, đài phun nước công cộng.)
there are 48 studens in a class. 1/2 of them make 9, 1/3 of them make 7and the others make 6 in math test. How many people make 6 in the class
There are 1400 students in a school.The number of girls is 3/4 the number of boys. How many students are in other levels if 1/6 of the girls and 1/5 of the boys are in Primary One
g = 3/4 b
g+b=1400
7/4 b = 1400
b = 800
g = 600
1st grade boys: 1/5 * 800 = 160
1st grade girls: 1/6 * 600 = 100
total 1st grade: 260
others: 1140
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There are 48 students in a class. The ratio of the number of the girl students to the number of boy students is \(\frac{1}{3}\). How many girl students are there in the class?
there are 12 girls in the class
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