Tiêu đề 18. THPT Nguyễn Trãi (Thường Tín - Hà Nội) (Tốt nghiệp THPT 2025 môn Tiếng Anh).docx ✅

picky about notations," he explained. "We let them define whatever notation they want, so they can express themselves naturally." The researchers will present Penrose at the SIGGRAPH 2020 Conference on Computer Graphics and Interactive Techniques, which will be held this July. "Our vision is to be able to dust off an old math textbook from the library, drop it into the computer and get a beautifully illustrated book - that way more people understand," Crane said, noting that Penrose is a first step toward this goal. (Adapted from sciencedaily.com) Question 1. Where in paragraph 1 does the following sentence best fit? "For many, the elegance of mathematical concepts often goes unnoticed amidst the complexity". A. (III) B. (II) C. (IV) D. (I) Question 2. The word "restricted" in paragraph 2 is OPPOSITE in meaning to______ A. expanded B. enclosed C. contained D. confined Question 3. The phrase "secret sauce" in paragraph 3 could be best replaced by_______ A. special element B. unnatural ability C. unexpected benefit D. mysterious feature Question 4. According to the passage, which of the following is NOT mentioned as a feature or benefit of the Penrose tool? A. It allows users to create diagrams from mathematical expressions. B. It can produce high-quality illustrations without requiring advanced drawing skills. C. It enables users to communicate mathematical ideas using a programming language. D. It can automatically generate solutions to complex mathematical problems. Question 5. The word "they" in paragraph 4 refers to________. A. possibilities B. users C. diagrams D. ideas Question 6. Which of the following best summarizes paragraph 3? A. Penrose enables users to translate mathematical ideas into diagrams using expert knowledge and computer codes. B. Katherine Ye discusses the challenges mathematicians face when trying to visualize complex ideas. C. Penrose allows users to create high-quality diagrams quickly without needing artistic skills. D. Diagrams in mathematics are often underused due to the time required to create them.
Question 7. Which of the following is NOT TRUE according to the passage? A. Penrose's developers want to make math easier to understand by using illustrations. B. Mathematical diagrams that are drawn by hand on chalkboards are not long-lasting. C. Diagrams are usually not widely used to illustrate or communicate mathematical ideas. D. Penrose uses common mathematical rules to draw diagrams for a mathematical object. Question 8. Which of the following best paraphrases the underlined sentence in paragraph 4? A. Users can choose and modify the diagrams they prefer from a collection of options. B. Users can view and customize the diagrams they wish to use from an assortment of images. C. Users can browse and alter the diagrams they like from a variety of choices. D. Users can create and adjust the diagrams they desire from a selection of examples. Question 9. Which of the following can be inferred from the passage? A. In general, mathematicians are not very good at remembering and defining notations. B. How a mathematical object should be visualized varies from person to person. C. Almost all people consider traditional math textbooks to be extremely boring. D. Hand-drawn diagrams are not as beautiful and easy to understand as digital diagrams. Question 10. Which of the following best summaries the passage? A. The researchers at Carnegie Mellon University are focusing on the history of mathematical diagrams and their importance in education. B. Penrose is a new tool that allows users to create complex mathematical diagrams easily, enhancing mathematical communication and understanding. C. The development of Penrose by Carnegie Mellon University aims to replace traditional graphing calculators with a tool that can only produce basic mathematical functions. D. Penrose enables mathematicians to draw by hand and provides them with a programming language to express their ideas naturally. Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following Questions from 11 to 18. Vietnamese cultural identity is a rich and intricate tapestry that reflects the nation's long and storied history. Rooted in over a thousand years of civilization, Vietnam's cultural identity is a fusion of indigenous traditions and external influences, shaped by its geographical location and historical interactions.