Cho biểu thức: P = ( 1 x − √ x + 1 √ x − 1 ) : √ x + 1 ( √ x − 1 ) 2 . 1) Tìm điều kiện xác định và rút gọn biểu thức P? 2) Tìm tất cả các giá trị của x để P = 1 3 ? 3) Tìm giá trị lớn nhất của biểu thức Q = A − 9 √ x ? Cho biểu thức: P = ( 1 x − √ x + 1 √ x − 1 ) : √ x + 1 ( √ x − 1 ) 2 . 1) Tìm điều kiện xác định và rút gọn biểu thức P? 2) Tìm tất cả các giá trị của x để P = 1 3 ? 3) Tìm giá trị lớn nhất của biểu thức Q = A − 9 √ x ? Cho biểu thức: P = ( 1 x − √ x + 1 √ x − 1 ) : √ x + 1 ( √ x − 1 ) 2 . 1) Tìm điều kiện xác định và rút gọn biểu thức P? 2) Tìm tất cả các giá trị của x để P = 1 3 ? 3) Tìm giá trị lớn nhất của biểu thức Q = A − 9 √ x ?
ĐỀ ÔN LUYỆN HSG LỚP - / APRIL /2023 ĐỀ SỐ 13 SECTION 1: LISTENING Phần nghe có 02 bài, nghe 02 lần (giám thị mở 01 lần đĩa tự động phát 02 lần) Trước phần nghe có phút để thí sinh đọc đề I You will hear a conversation at the customs in Gatwick Airport Listen and fill in the form below (1.0 point) Surname: MANNING Sex FEMALE Date of birth 15-06-1994 Nationality MALAYSIAN Reason for travel in the USA STUDY ENGLISH II You will hear a tourist guide talking to a group of people about a trip to the countryside For each question, fill in the missing information in the numbered space (1.0 point) A DAY IN THE COUTRYSIDE Morning program: breakfast at (1) 8.30 meet in (2)……the dining room……………………………….…… bus leaves at (3) …9.15…………………………………………….… picnic lunch in the forest Afternoon program: Choice of activities: hill walk visit to a (4)……village……………………… …………… or a farm swim or take a trip by boat What to bring: a warm jacket a (5) …hat………………………………………………………… SECTION 2: PHONETICS I Choose the word which has the underlined part pronounced differently from that of the rest by circling your answer (A, B, C, or D) A pays B says C plays D stays A region B ugly C generous D gymnastic A.booked B prepared C missed D coughed A bother B sunbathe C cloth D months A vegetable B comfortable C.nature D moderate II Choose the letter (A, B, C or D) next to the word whose main stress is placed differently from the others A pancake B discount C wardrobe D marine A migrant B typhoon C compost D limestone A glassware B refill C award D surround A loudspeaker B itinerary C participate D magnificent A helicopter B microware C memorial D magically SECTION 3: LEXICO-GRAMMAR I Choose the word or phrase which best completes each sentence Write your answer (A, B, C, or D) in the numbered box His car is the same color ………… my uncle’s A alike B as C like D to The cat was ……………… to wait for the mouse to come out of its hole A patient enough B so patient C enough patient D too patient Sa Pa is in _ Vietnam A northern B south C southern D north Thank you very much _ A Are you worried? B You’re welcome C Not all D Nothing She is speaking because she is having a sore throat A soft B softly C well D fast Where is the Stonehenge? A In England B In China C In Ammerica D In France He really enjoys to dinner parties A inviting B being inviting C being invited D be invited Don’t overheat the victim _ blankets or coats A on B for C with D from The heavy rain has caused _in many parts of the country A storms B droughts C typhoon D floods 10 I’m so tired I think I’ll probably off in the cinema A doze B sleep C turn D fall 11 It’s at least a month since……………….John A I last seen B I have last seen C I last see D I last saw 12 Would you mind……………… this essay for me? A type B will type C typing D to type 13 I have just bought from a book shop near here A two beautiful black leather school bags B two beautiful leather black school bags C beautiful two black leather school bags D two beautiful black school leather bags 14 “What …………………?” – “He is very nice.” A did Peter like B is Peter like C does Peter like D was Peter like 15 Could you buy me a copy of the newspaper _ your way to work? A on B by C along D for 16 The number of cars on the road _ A increase B is increasing C are going to increase D are increasing 17 He finally the decision to go abroad A came up B came C came with D came up with 18 We couldn’t help _ when he told us what had happened A laugh B to laugh C to be laughing D laughing 19 Due to the computer malfunction all our data was lost So unhappily, we had to begin all the calculations from A onset B source C original D scratch 20 Jenny has been on a diet, but she can’t resist her for sweets now and then A inclination B craving C attraction D tendency 21: Many people will be out of A career B job 22: Neither Tom nor his brothers A is B was 23: Do you know the person if the factory is closed C profession D work willing to help their mother with the housework C are D has been next to you in the evening class? A whose sitting 24: I can’t A make sense 25: Tony Blair is believed A having left B whom sits C sitting of a word he is saying B grasp C comprehend for Liverpool last week B to have left C to leave D who sit D understand D leaving II Identify the mistake in each sentence and correct it The mean of transport he often uses is taxi Means A B C D She always trains hard to be a good-qualified teacher.well-qualified A B C D It is a twenty- minutes drive from here to the city center.twenty-minute A B C D The government tried providing facilities for these migrants.to provide A B C D I don't know how explain all these things to you immediately.how to explain A B C D III Supply the correct form of the word in italic It is a contest which paripants _ have to read two poems in English (participate) Falling coffee prices have poverty _ _ many Third World economies POOR Some of my _relatives live in the city (relate ) It may be _produced _ to force them into making a decision, and if you upset them they're quite likely to overact PRODUCE Don’t expect her to conceal her emotions She’s too _outspoken to refrain from telling what is on her mind SPEAK IV Give the correct forms of the verbs given in brackets I prefer (1 order) ordering to (2 order) ordering had he not phoned… he (not phone) to tell me he (miss) missed the train, I would have been waiting all day here There (4 be) have been no guests at all since I left The teller was made (5.lie) to lie down on the floor V Complete the sentences with the correct prepositions carry away go off pull up make for break up stand out call for come across I’m not surprised Sally and Jim broke up they kept quarrelling all the time John was completely by the music and lost track of time While I was walking down Oxford Street, I stand out a good record shop This situation …… called for…… immediate action Let’s …come across………… that island and wait for the storm to pass The butter was left out of the fridge and now it’s pulled up…… All passengers got ready to get off the train as it went out to the station .SECTION 4: READING I Choose one suitable word (A, B, C or D) to complete the following passage Air pollution is caused (1) ill health in human beings In a lot of countries, there are (2) limiting the amount of smoke factories can produce although there is not enough _(3) on the effects of smoke on the atmosphere Doctors have (4) that air pollution causes (5) diseases The gases from the exhausts of cars _(6) also increased air pollution in most cities The (7) of petrol produces a poisonous gas, which is often collected in busy streets circled by high buildings Children _(8) in areas where there is a lot of lead in the atmosphere can not think as (9) as other children, and are clumsy when they _(10) their hands A from B on C over D of A laws B ideas C problems D regulations A news B article C information D newspaper A agreed B pointed C disagreed D proved A lung B heart C liver D stomach A had B have C has D having A water B lead C gas D exhaust A lived B live C to live D living A quick B slowly C quickly D slow 10 A touch B use C handle D collect II Read the following passage and then choose the correct answer A, B, C or D These days, most people in Britain and the United States not wear very formal clothes But sometimes it is important to wear the right thing Many British people don’t think about clothes very much They just like to be comfortable When they go out to enjoy themselves, they can wear almost anything At theaters, cinemas and concerts you can put on what you like from elegant suits and dresses to jeans and sweaters Anything goes, as long as you look clean and tidy But in Britain, as well as the United States, men in offices usually wear suits and ties, and women wear dresses and skirts (not trousers) Doctors, lawyers and business people wear quite formal clothes And in some hotels and restaurants men have to wear ties and women wear smart dresses. In many years, Americans are more relaxed than British people, but they are more careful with their clothes At home, or on holidays, most Americans wear informal or sporty clothes But when they go out in the evening, they like to look elegant In good hotels and restaurants, men have to wear jackets and ties, and women wear pretty clothes and smart hairstyle It is difficult to say exactly what people wear informal or formal in Britain and the United State because everyone is different If you are not sure what to wear, watch what other people and then the same You’ll feel more relaxed if you don’t look too different from everyone else Many British people wear freely when they A meet their friend B attend lectures C. attend meeting D spend their spare time Who doesn’t usually wear suits and ties? A lawyers B doctors C farmers D secretaries If you visit an American friend at home in the evening, you may find that your friend wears A pretty clothes B informal clothes C formal clothes D dirty clothes If you are in foreign country, the best way the writer suggests to you is to wear A strange clothes B as the people there C your native clothes D pretty clothes What you think the passage is mainly about? A Recent dressing habit in Great Britain and the United States B The reason why informal clothing is popular in Britain and US C When we should wear in a formal way D Where we should wear in a formal way III Read the text below and think of the word which best fits each space Use only ONE word in each space When Linh was younger, she liked to go to school (1) more than anything She used to study every day and even tried harder when preparing for exams In class, she listened attentively (2) _to _ lectures and (3) _answered her teachers’ questions perfectly That was why she often performed well in exams and appeared in the list of “Top 10 Students” of the school She was much (4) better _ at learning languages than any (5) school subjects At the age of fifteen, she could (6) _speak two foreign languages, English and French, quite fluently Her dream (7) _used _ to become a successful diplomat Unfortunately, her father died in a car accident when she was a first-year student at university She had to quit school to help her mother (8) _take _ care of her family Nevertheless, she continued studying by (9) heart and tried her best to graduate (10) in _ the Institute of International Relations at the age of 30 She is now the director in the Department of Foreign Affairs She says “the more I try, the more I see the meaning of life” SECTION WRITING I Complete each of the following sentences in such a way that it means exactly the same as the sentence printed before it Be sure to say good bye to your mother before you leave You have to say goodbye to your mother before you leave Don’t run away with the idea that the tasks are easy You’d better run away with the idea that the tasks I never thought of changing my job The thought of changing my job never crossed my mind Not many people came to his wedding party There was a few people came tohis wedding party She lost her job last month and has been out of work ever since She’s been out of work ever since and lost her job last month “Why don’t you apply for the job, Anne?” said Sue Sue suggested that she applied for the job The late comers entered the room quietly so that they wouldn’t disturb the lecture So as to disturb the lecture, the late comers didn’t enter the room quietly That meal was excellent! What an excellent meal! Lan laughed when I told her the joke The joke was laughed when I told Lan 10 John could not find the right house John was not able to find the right house II Complete the second sentence so that it has a similar meaning to the first sentence, using the word given She assumed that the tribe wouldn’t understand her UNDER She was under no circumtance that the tribe wouldn’t understand her I had such a bad headache after the aromatherapy treatment that I felt sick SO My headache after the aromatherapy treatment so bad…… that I felt sick It’s Paul’s duty to check on patients RESPONSIBLE Paul ……………… on the patients She described the treatment to us in detail DETAILED She gave ……………………… the treatment We decided not to go to the party on Friday night DECISION We …made a decision ………… not to go to the party on Friday night THE END