Trong không gian với hệ trục tọa độ Oxyz, cho ba điểm \(A(1;2;-1),B(2;-1;3),C(-2;3;3)\). Điểm \(D(a;b;c)\) là đỉnh thứ tư của hình bình hành ABCD, khi đó \(P={{a}^{2}}+{{b}^{2}}-{{c}^{2}}\) có giá trị bằng

Read the following passage and choose the correct answer to each of the questions.

1. In recent years, the idea of a six-hour workday has gained attention as a potential solution to modern work-life balance challenges. Sweden is one of the countries where this concept was tested, and the results have been eye-opening.

2. In 2015, a Swedish retirement home introduced a six-hour workday for its nurses. After the experiment, not only were the nurses happier and more energetic, but productivity also increased. The reduced working hours allowed employees to focus better during their shifts, leading to fewer mistakes and better care for patients. Moreover, absenteeism decreased, and employee satisfaction skyrocketed.

3. But how does a shorter workday improve productivity? Research suggests that the traditional eight-hour workday may lead to exhaustion, which causes workers to lose focus and make errors. By working fewer hours, they can maintain higher energy levels and complete tasks more efficiently. Studies from organizations like the OECD (Organisation for Economic Co-operation and Development) also show that countries with shorter average working hours, such as Germany and the Netherlands, have higher productivity rates compared to those with longer working hours.

4. Critics argue that a six-hour workday may not be suitable for all industries, and some businesses worry about potential cost increases. However, many proponents believe the long-term benefits, such as improved employee well-being and reduced burnout, outweigh these concerns.

5. As work-life balance becomes a priority in today's society, the six-hour workday could be a glimpse into the future of work, where employees are happier, healthier, and more productive.

(30) The word eye-opening in paragraph 1 is closest in meaning to __________.

Read the following passage and choose the correct answer to each of the questions.

1. In recent years, the idea of a six-hour workday has gained attention as a potential solution to modern work-life balance challenges. Sweden is one of the countries where this concept was tested, and the results have been eye-opening.

2. In 2015, a Swedish retirement home introduced a six-hour workday for its nurses. After the experiment, not only were the nurses happier and more energetic, but productivity also increased. The reduced working hours allowed employees to focus better during their shifts, leading to fewer mistakes and better care for patients. Moreover, absenteeism decreased, and employee satisfaction skyrocketed.

3. But how does a shorter workday improve productivity? Research suggests that the traditional eight-hour workday may lead to exhaustion, which causes workers to lose focus and make errors. By working fewer hours, they can maintain higher energy levels and complete tasks more efficiently. Studies from organizations like the OECD (Organisation for Economic Co-operation and Development) also show that countries with shorter average working hours, such as Germany and the Netherlands, have higher productivity rates compared to those with longer working hours.

4. Critics argue that a six-hour workday may not be suitable for all industries, and some businesses worry about potential cost increases. However, many proponents believe the long-term benefits, such as improved employee well-being and reduced burnout, outweigh these concerns.

5. As work-life balance becomes a priority in today's society, the six-hour workday could be a glimpse into the future of work, where employees are happier, healthier, and more productive.

(29) What does the passage mainly discuss?

Read the following announcement and choose the correct option that best fits each of the numbered blanks.

Career Orientation Workshop Announcement

Dear Students,

We are excited to announce that our school will be holding a Career Orientation Workshop on November 15th. This workshop aims (13) __________ you explore different career paths and gain valuable insights into the job market. Industry experts will be present to guide you through career opportunities, answer your questions, and provide advice on how to prepare (14) __________ your future career.

Don't miss this chance to discover your potential and (15) __________ clear goals for your future career!

Date: November 15th

Time: 9:00 AM - 11:00 AM

Location: School Auditorium

We look forward to seeing you there!

Read the following passage and choose the correct answer to each of the questions.

1. In recent years, the idea of a six-hour workday has gained attention as a potential solution to modern work-life balance challenges. Sweden is one of the countries where this concept was tested, and the results have been eye-opening.

2. In 2015, a Swedish retirement home introduced a six-hour workday for its nurses. After the experiment, not only were the nurses happier and more energetic, but productivity also increased. The reduced working hours allowed employees to focus better during their shifts, leading to fewer mistakes and better care for patients. Moreover, absenteeism decreased, and employee satisfaction skyrocketed.

3. But how does a shorter workday improve productivity? Research suggests that the traditional eight-hour workday may lead to exhaustion, which causes workers to lose focus and make errors. By working fewer hours, they can maintain higher energy levels and complete tasks more efficiently. Studies from organizations like the OECD (Organisation for Economic Co-operation and Development) also show that countries with shorter average working hours, such as Germany and the Netherlands, have higher productivity rates compared to those with longer working hours.

4. Critics argue that a six-hour workday may not be suitable for all industries, and some businesses worry about potential cost increases. However, many proponents believe the long-term benefits, such as improved employee well-being and reduced burnout, outweigh these concerns.

5. As work-life balance becomes a priority in today's society, the six-hour workday could be a glimpse into the future of work, where employees are happier, healthier, and more productive.

(31) Which of the following is NOT mentioned as a result of the six-hour workday at the Swedish retirement home?

Read the following advertisement and choose the correct option that best fits each of the numbered blanks.

Discover the Charm of Hanoi's Old Quarter!

Step back in time and explore the vibrant, (10) __________ streets of Hanoi's Old Quarter. Our exclusive guided tour will take you through hidden alleys, bustling markets, and centuries-old architecture so you can (11) __________ the true heart of Vietnam's capital.

Tour Highlights:

✔ Explore 36 Ancient Streets: Learn the stories behind each street and its traditional craft.

✔ Taste Authentic Street Food: Enjoy delicious pho, bun cha, and other local favorites at famous food stalls.

✔ Cycle Rickshaw Ride: Enjoy (12) __________ peaceful rickshaw ride through the Old Quarter's most iconic spots.

Contact us: +84 123 45 678

Book now and dive into the soul of Hanoi!

Read the following announcement and choose the correct option that best fits each of the numbered blanks.

Career Orientation Workshop Announcement

Dear Students,

We are excited to announce that our school will be holding a Career Orientation Workshop on November 15th. This workshop aims (13) __________ you explore different career paths and gain valuable insights into the job market. Industry experts will be present to guide you through career opportunities, answer your questions, and provide advice on how to prepare (14) __________ your future career.

Don't miss this chance to discover your potential and (15) __________ clear goals for your future career!

Date: November 15th

Time: 9:00 AM - 11:00 AM

Location: School Auditorium

We look forward to seeing you there!

Read the following advertisement and choose the correct option that best fits each of the numbered blanks.

Discover the Charm of Hanoi's Old Quarter!

Step back in time and explore the vibrant, (10) __________ streets of Hanoi's Old Quarter. Our exclusive guided tour will take you through hidden alleys, bustling markets, and centuries-old architecture so you can (11) __________ the true heart of Vietnam's capital.

Tour Highlights:

✔ Explore 36 Ancient Streets: Learn the stories behind each street and its traditional craft.

✔ Taste Authentic Street Food: Enjoy delicious pho, bun cha, and other local favorites at famous food stalls.

✔ Cycle Rickshaw Ride: Enjoy (12) __________ peaceful rickshaw ride through the Old Quarter's most iconic spots.

Contact us: +84 123 45 678

Book now and dive into the soul of Hanoi!

Read the following advertisement and choose the correct option that best fits each of the numbered blanks.

Discover the Charm of Hanoi's Old Quarter!

Step back in time and explore the vibrant, (10) __________ streets of Hanoi's Old Quarter. Our exclusive guided tour will take you through hidden alleys, bustling markets, and centuries-old architecture so you can (11) __________ the true heart of Vietnam's capital.

Tour Highlights:

✔ Explore 36 Ancient Streets: Learn the stories behind each street and its traditional craft.

✔ Taste Authentic Street Food: Enjoy delicious pho, bun cha, and other local favorites at famous food stalls.

✔ Cycle Rickshaw Ride: Enjoy (12) __________ peaceful rickshaw ride through the Old Quarter's most iconic spots.

Contact us: +84 123 45 678

Book now and dive into the soul of Hanoi!

Read the following passage and choose the correct answer to each of the questions.

1. In recent years, the idea of a six-hour workday has gained attention as a potential solution to modern work-life balance challenges. Sweden is one of the countries where this concept was tested, and the results have been eye-opening.

2. In 2015, a Swedish retirement home introduced a six-hour workday for its nurses. After the experiment, not only were the nurses happier and more energetic, but productivity also increased. The reduced working hours allowed employees to focus better during their shifts, leading to fewer mistakes and better care for patients. Moreover, absenteeism decreased, and employee satisfaction skyrocketed.

3. But how does a shorter workday improve productivity? Research suggests that the traditional eight-hour workday may lead to exhaustion, which causes workers to lose focus and make errors. By working fewer hours, they can maintain higher energy levels and complete tasks more efficiently. Studies from organizations like the OECD (Organisation for Economic Co-operation and Development) also show that countries with shorter average working hours, such as Germany and the Netherlands, have higher productivity rates compared to those with longer working hours.

4. Critics argue that a six-hour workday may not be suitable for all industries, and some businesses worry about potential cost increases. However, many proponents believe the long-term benefits, such as improved employee well-being and reduced burnout, outweigh these concerns.

5. As work-life balance becomes a priority in today's society, the six-hour workday could be a glimpse into the future of work, where employees are happier, healthier, and more productive.

(32) The word they in paragraph 3 refers to __________.

Choose the correct arrangement of the sentences to make a meaningful paragraph/letter in each of the following questions.

a. Additionally, organizing outdoor activities such as tree planting or clean-up days helps students connect with nature.

b. First, schools can organize recycling programs, where students actively participate in sorting and reducing waste.

c. Second, teachers can include environmental topics in lessons to raise awareness about issues like pollution and climate change.

d. Finally, rewarding environmentally-friendly behavior can motivate students to adopt sustainable habits.

e. There are several effective ways to encourage students to protect the environment.

Choose the correct arrangement of the sentences to make a meaningful paragraph/letter in each of the following questions.

a. I am confident that my friendly attitude and communication skills will help me perform well in this role.

b. Dear Sir/Madam, I am writing to apply for the part-time position as a shop assistant at your store.

c. I have previous experience working as a cashier at a local grocery store, where I assisted customers and maintained the store's organization.

d. I would appreciate the opportunity to discuss my application in person and am available for an interview any afternoon.

e. Yours faithfully,

f. Thank you for considering my application. I look forward to hearing from you soon.

Choose the word whose underlined part differs from that of the other three in pronunciation in each of the following questions.

Read the following passage and choose the correct option that best fits each of the numbered blanks.

One of the most exciting careers today is that of a wildlife photographer. Wildlife photographers travel to remote locations to capture (18) __________. The job requires not only advanced photography skills but also a deep understanding of animal behavior and nature. (19) __________, as it often takes hours, or even days, to get the perfect shot of a rare species or an incredible natural moment.

The thrill of encountering animals in the wild, from lions in the savannah to penguins in the Antarctic, (20) __________. Wildlife photographers also play a crucial role in raising awareness about conservation. Through (21) __________, they bring the beauty and fragility of wildlife to the world's attention and (22) __________ endangered species and ecosystems.

In conclusion, wildlife photography allows individuals to explore remote landscapes, capture breathtaking moments, and (23) __________. Despite the challenges, such as difficult weather conditions and potential dangers from wildlife, the reward of capturing a breathtaking moment in nature is priceless. It's a profession for those who are not afraid to take risks and who love being in the great outdoors.

Choose the correct answer to fill in the blank in each of the following questions.

She changed her career path __________ she was offered a scholarship to study architecture abroad.

Read the following announcement and choose the correct option that best fits each of the numbered blanks.

Career Orientation Workshop Announcement

Dear Students,

We are excited to announce that our school will be holding a Career Orientation Workshop on November 15th. This workshop aims (13) __________ you explore different career paths and gain valuable insights into the job market. Industry experts will be present to guide you through career opportunities, answer your questions, and provide advice on how to prepare (14) __________ your future career.

Don't miss this chance to discover your potential and (15) __________ clear goals for your future career!

Date: November 15th

Time: 9:00 AM - 11:00 AM

Location: School Auditorium

We look forward to seeing you there!

Read the following passage and choose the correct answer to each of the questions.

1. In recent years, the concept of zero-waste cities has gained significant attention. The idea is simple but revolutionary. A zero-waste city aims to send no waste to landfills or incinerators. Instead, everything is reused, recycled, or composted. This approach not only reduces the amount of waste produced but also helps conserve natural resources and protect the environment.

2. One key element of a zero-waste city is the design of products that can either be reused or fully recycled. Manufacturers are encouraged to produce goods with fewer materials and create packaging that is easy to recycle. Additionally, citizens are motivated to change their consumption habits. People are encouraged to avoid disposable items and opt for reusable alternatives such as cloth bags, glass bottles, and metal containers. Cities also promote the use of shared economies, such as borrowing tools or second-hand markets, which help to reduce the demand for new products. Educational campaigns and community events have also been organized to ensure that everyone is informed about the importance of waste reduction.

3. San Francisco is an example of a city that has embraced this vision. Since launching its zero-waste initiative, it has successfully diverted over 80% of its waste from landfills. The city has implemented strict recycling and composting programs, and it has banned plastic bags and Styrofoam containers. Residents are actively engaged in the process by separating their waste into different categories, such as recyclables, organic waste, and general trash.

4. Zero-waste cities represent a new approach to urban living. They offer a solution to the growing problem of waste management. Although creating a zero-waste city is challenging, the benefits are undeniable. Reduced pollution, cleaner streets, and a more sustainable future make this concept an attractive goal for cities worldwide. As more cities adopt zero-waste policies, they pave the way for a cleaner, healthier planet.

(34) Which of the following could be the best title for the passage?

Read the following passage and choose the correct answer to each of the questions.

1. In recent years, the concept of zero-waste cities has gained significant attention. The idea is simple but revolutionary. A zero-waste city aims to send no waste to landfills or incinerators. Instead, everything is reused, recycled, or composted. This approach not only reduces the amount of waste produced but also helps conserve natural resources and protect the environment.

2. One key element of a zero-waste city is the design of products that can either be reused or fully recycled. Manufacturers are encouraged to produce goods with fewer materials and create packaging that is easy to recycle. Additionally, citizens are motivated to change their consumption habits. People are encouraged to avoid disposable items and opt for reusable alternatives such as cloth bags, glass bottles, and metal containers. Cities also promote the use of shared economies, such as borrowing tools or second-hand markets, which help to reduce the demand for new products. Educational campaigns and community events have also been organized to ensure that everyone is informed about the importance of waste reduction.

3. San Francisco is an example of a city that has embraced this vision. Since launching its zero-waste initiative, it has successfully diverted over 80% of its waste from landfills. The city has implemented strict recycling and composting programs, and it has banned plastic bags and Styrofoam containers. Residents are actively engaged in the process by separating their waste into different categories, such as recyclables, organic waste, and general trash.

4. Zero-waste cities represent a new approach to urban living. They offer a solution to the growing problem of waste management. Although creating a zero-waste city is challenging, the benefits are undeniable. Reduced pollution, cleaner streets, and a more sustainable future make this concept an attractive goal for cities worldwide. As more cities adopt zero-waste policies, they pave the way for a cleaner, healthier planet.

(35) The word revolutionary in paragraph 1 is closest in meaning to __________.

Read the following passage and choose the correct option that best fits each of the numbered blanks.

One of the most exciting careers today is that of a wildlife photographer. Wildlife photographers travel to remote locations to capture (18) __________. The job requires not only advanced photography skills but also a deep understanding of animal behavior and nature. (19) __________, as it often takes hours, or even days, to get the perfect shot of a rare species or an incredible natural moment.

The thrill of encountering animals in the wild, from lions in the savannah to penguins in the Antarctic, (20) __________. Wildlife photographers also play a crucial role in raising awareness about conservation. Through (21) __________, they bring the beauty and fragility of wildlife to the world's attention and (22) __________ endangered species and ecosystems.

In conclusion, wildlife photography allows individuals to explore remote landscapes, capture breathtaking moments, and (23) __________. Despite the challenges, such as difficult weather conditions and potential dangers from wildlife, the reward of capturing a breathtaking moment in nature is priceless. It's a profession for those who are not afraid to take risks and who love being in the great outdoors.

Read the following passage and choose the correct answer to each of the questions.

1. In recent years, the concept of zero-waste cities has gained significant attention. The idea is simple but revolutionary. A zero-waste city aims to send no waste to landfills or incinerators. Instead, everything is reused, recycled, or composted. This approach not only reduces the amount of waste produced but also helps conserve natural resources and protect the environment.

2. One key element of a zero-waste city is the design of products that can either be reused or fully recycled. Manufacturers are encouraged to produce goods with fewer materials and create packaging that is easy to recycle. Additionally, citizens are motivated to change their consumption habits. People are encouraged to avoid disposable items and opt for reusable alternatives such as cloth bags, glass bottles, and metal containers. Cities also promote the use of shared economies, such as borrowing tools or second-hand markets, which help to reduce the demand for new products. Educational campaigns and community events have also been organized to ensure that everyone is informed about the importance of waste reduction.

3. San Francisco is an example of a city that has embraced this vision. Since launching its zero-waste initiative, it has successfully diverted over 80% of its waste from landfills. The city has implemented strict recycling and composting programs, and it has banned plastic bags and Styrofoam containers. Residents are actively engaged in the process by separating their waste into different categories, such as recyclables, organic waste, and general trash.

4. Zero-waste cities represent a new approach to urban living. They offer a solution to the growing problem of waste management. Although creating a zero-waste city is challenging, the benefits are undeniable. Reduced pollution, cleaner streets, and a more sustainable future make this concept an attractive goal for cities worldwide. As more cities adopt zero-waste policies, they pave the way for a cleaner, healthier planet.

(37) The word embraced in paragraph 3 is OPPOSITE in meaning to __________.

Choose the correct answer to fill in the blank in each of the following questions.

The organization __________ financial aid to thousands of students since its establishment in 2010.