加拿大安大略省十级数学试卷 英文
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加拿大ossd考试评分规则摘要:1.OSSD 考试简介2.OSSD 考试评分规则3.OSSD 考试的优点正文:一、OSSD 考试简介OSSD(Ontario Secondary School Diploma)是加拿大安大略省中学教育的最高文凭,相当于我国的高中毕业证书。
在加拿大,学生完成12 年级(相当于我国的高三)的学习后,即可获得OSSD 证书。
这个证书不仅是进入加拿大大学的敲门砖,同时也受到世界各地高校的认可。
二、OSSD 考试评分规则1.计分方式:OSSD 考试采用百分制,最高分为100 分,及格线为50 分。
2.考试科目:OSSD 考试涵盖了多个学科,包括英语、数学、科学、社会科学等。
3.考试形式:OSSD 考试分为两种形式,一种是笔试,占总分的70%;另一种是平时成绩,占总分的30%。
这意味着学生在备考OSSD 考试时,不能仅依赖于考试前的突击复习,还需要在平时的学习中表现良好。
4.评分标准:OSSD 考试的评分标准相对较为宽松,平时成绩的评定主要依据学生的出勤率、课堂表现、作业完成情况等方面。
笔试部分则主要测试学生的基本知识和技能。
三、OSSD 考试的优点1.多元化的评分方式:OSSD 考试不仅考察学生的笔试能力,还重视学生的平时表现,从而更全面地评价学生的学术能力。
2.国际认可度高:OSSD 证书受到世界各地高校的认可,为学生提供了更广阔的发展空间。
3.培养综合素质:OSSD 考试要求学生在多个学科领域都有所涉猎,有利于培养学生的综合素质和跨学科能力。
总的来说,加拿大OSSD 考试评分规则灵活多样,既注重学生的学术成绩,也重视学生的综合素质。
渥太华九年级数学试卷【含答案】专业课原理概述部分一、选择题(每题1分,共5分)1. 渥太华的时区是?A. UTC-5B. UTC-4C. UTC-3D. UTC-62. 渥太华的官方语言是?A. 英语和法语B. 英语C. 法语D. 西班牙语3. 渥太华位于加拿大的哪个省份?A. 安大略省B. 魁北克省C. 不列颠哥伦比亚省D. 阿尔伯塔省4. 渥太华的气候类型是?A. 温带海洋性气候B. 温带大陆性气候C. 亚寒带气候D. 热带气候5. 渥太华市的市长是?A. Jim WatsonB. Doug FordC. François LegaultD. John Tory二、判断题(每题1分,共5分)6. 渥太华是加拿大的首都。
()7. 渥太华位于加拿大西部。
()8. 渥太华的冬季非常寒冷,经常下雪。
()9. 渥太华市的人口超过一百万。
()10. 渥太华是加拿大最大的城市。
()三、填空题(每题1分,共5分)11. 渥太华市成立于____年。
12. 渥太华市与美国的边境距离大约为____公里。
13. 渥太华市的标志性建筑是____。
14. 渥太华河是____的一部分。
15. 渥太华的邮政编码通常以____开头。
四、简答题(每题2分,共10分)16. 简述渥太华的地理位置。
17. 渥太华的主要经济活动有哪些?18. 渥太华的教育资源如何?19. 渥太华的历史文化特色是什么?20. 渥太华的气候特点有哪些?五、应用题(每题2分,共10分)21. 如果从渥太华出发,乘坐火车前往多伦多,大约需要多长时间?22. 渥太华的冬季平均温度是多少?23. 渥太华有多少所大学?24. 渥太华的居民中有多少比例说法语?25. 渥太华市的总面积是多少?六、分析题(每题5分,共10分)26. 分析渥太华作为加拿大首都的优势和挑战。
27. 探讨渥太华的多元文化对城市发展的影响。
七、实践操作题(每题5分,共10分)28. 设计一条渥太华的一日游路线,包括主要景点和活动。
10级入学调研考试英语试题一.单项选择(20)1.It cold enough to_________.A. go skateB. go skatingC. go to skatingD. go swimming.2.We need friends to_________, or we will feel_________.A. chat, aloneB. chat with, lonelyC. speak, lonelyD. talk with, alone3.D on’t get off t he bus____ it has stopped.A. untilB. ifC. toD.for4.The problem is_______. I can work it out______.A. easy, easyB. easily, easyC. easily, easilyD. easy, easily5. _____bad news it is! We must try to help them.A. What aB. WhatC. HowD. How a6.Bab luck! We ______Mount Emei when it rain heavily.A. climbedB. were climbingC. are climbingD. have climbed7.She was mad___ me for_____ her keys.A. at, losingB. about, lostC. at,lostD. about, losing.8. He said that there _____ an interesting movie this weekend.A. would beB. will beC. would haveD. will have9.He was ill,______ he kept working all day long.A. howeverB. butC. yetD. and10.—I think Sun Yang is a super star.---____________.A. So am IB. So do IC. So I doD. So I am11.--- How long have you been in this city?--- ____________ 20 years.A. BeforeB. ForC. AfterD. Since12.He asked me not to tell this thing to________.A. someone elseB. anyone elseC. else someoneD. else anyone13. –Would you mind keeping your voice down, please?A. It doesn’t matterB. Excuse meC. ThanksD. No, not at all14.You borrowed my pen and never ______it to me.A. returned backB. gaveC. returnedD. brought15.English is_________ useful language.A. a suchB. such aC. such anD. so a16.The beautiful scarf _______me 20 yuan.A. spentB. tookC. costD. paid17.---Which do you like better, skating or skiing?--- ______ of them. I like swimming.A. AllB. BothC. EitherD. Neither18. In the factory,____ of the workers ______women.A. three quarter, areB. three quarters, areC. three quarters, isD. third quarters, are19.He is sure _____ he will succeed.A. ofB. toC. thatD. what20.---Let’s go to school together.--- ________________?A. do weB. don’t weC. shall weD. will you二.完形填空(12)Anna lived on the side of a valley. One summer, there was a very big flood, and a lot of 21 down below Anna’s were washed away. Anna’s house was 22 enough to escape the flood, so when the water had disappeared and the other houses were 23 there with no roof and no walls and all covered with mud, her house was still quite all right.Her house was quite small and there were only two small bedroom, her husband was dead when the children were very young, and she had four children, 24 Anna took in one of the families that had lost everything in the flood and she 25 her home with them until it was 26 for them to rebuild their house.Anna’s friends were puzzled when they saw Anna do t his. They could not 27 why Anna wanted to give herself so much more work and trouble when she already had quite a few children to 28 . Life would be even harder when another family joined them.“Well,” Anna 29 to her friends, “at the end of t he First World War ,a woman in the town where I then lived in Germany found herself very poor, because her husband had been killed in the war and she had a lot of 30 ,as I have now.“The day before Christmas, this woman said to her children, ‘We won’t be able to have much for Christmas this year, so I’m going to 31 only one gift for all of us and I am sure wewill all be glad to have it. Now I’ll go and get it.’ She came back with a little girl who was even poorer than they, and who had no parents. ‘Here’s our gift.’ she said to her children.”The children were very excited and happy to get such a gift. They 32 the little girl, and she grew up as their sister. I was just that Christmas gift.( ) 21. A. trees B. stones C. houses D. animals( ) 22. A. hard B. high C. big D. small( ) 23. A. flying B. rising C. landing D. standing( ) 24. A. so B. but C. as D. while( ) 25. A. built B. found C. shared D. searched( )26. A. possible B. necessary C. important D. difficult( ) 27. A. doubt B. think C. realize D. understand( ) 28. A. support B. supply C. grow D. educate( ) 29. A. went B. explained C. sent D. talked( ) 30. A. money B. house C. children D. friends( ) 31. A. leave B. make C. buy D. get( ) 32. A. welcome B. visited C. disliked D. believed三、阅读理解(20)(A)Going to a friend’s house is very exciting. It is a good chance to spend time wi th a friend and get to see where they live. So it is necessary to remember to be polite (礼貌的).When to arriveThe first thing to remember is that when a friend invites you over, you need to arrive on time. If your friend tells you to come“around 3:00”, that means you can show up a little bit after 3:00. But usually it is a good idea to arrive on timeWhat to bringOften it is also nice to bring something to your friend’s house. This could be an inviting (诱人的) snack (小吃) for you two to share, or maybe a movie that you can watch together. You can also bring a bouquet (花束) of flowers. In response (作为反应), you friend will say something like “Thank you. I like it a lot.” A little gift is a nice way to show your friend that you are excited to be at their house.How to greetWhen you visit your friend’s house you may also get the chance to meet their mother or father. You should introduce yourself to him/her and they will also probably tell you their name. When I was growing up, I called my friend's parents by their first name, but it is more polite to call them Mr. or Mrs. Smith (or whatever). This will show them more respect (尊重) and then they may tell you to call them by their first name. Another way to show respect is to call them Ma’am (夫人,madam的口语形式) or Sir.What to doAfter you meet your friend’s parents, you will go and spend time with just your friend. The parents will be there to supervise (照看), but you and your friend can find something fun to do. When I was younger, I enjoyed playing in my f riends’ backyards (后院) and playing on their swing sets (秋千架). It’s also fun to play games or watch movies with a friend. As I got older, I usually went to my friend’s houses to talk about our thoughts or what was going on at school.It is a cool thing t o visit a friend’s house. Be polite to your friend and your friend’s parents, and you’ll get another chance to go over and play.33. If you are told to get to your friend’s house at around 5:00 p.m ,it is polite to arrive at______p.m.A. 5:02B. 4:50 C: 4:30 D: 5:3034.When the writer was a child, he called his friend’s father_______A. SmithB. JohnC. MaryD. Paul35.The passage mainly tells us___________.A. when to arrive at your friend’s house.B. how to greet peopleC. what to bring to your friendD. how to be a good visitor36.The passage may be from_______A. a notice on a wall B . a letter to a friend C. an article in a magazine D. a news story in a paper37.The passage tells us _____things we should remember.A. 2B. 3C. 4D.5(B)All American students have at least one major hobby. A large number of high school students take part in sports activities after school. They practice every day. The most popular sports are basketball, American football, soccer and baseball.Many students also want to learn how to play a musical instrument. In high school, there is a school “band” that plays songs during special events called concerts. The band teacher helps the students to develop their skills. Usually, boys like to learn to play the guitar and the drums, while girls prefer the piano and the flute.Some students don’t want to play a musical instrument but they can also enjoy the music. Discs, often called CDs, are very popular in America, and students are always trying to get more of them.Some students enjoy reading all sorts of books in their spare time; they usually get the highest marks and go to the best universities. Through reading books, students can meet new people and visit strange, interesting places.Almost all students enjoy making friends and spending time with them. This is called “socializing(社交)”. On weekends, they often go to the movies, or to an ice cream shop or the bowling alley(保龄球). They also enjoy watching their classmates play sports.( ) 38. Each American student has at least ______ major hobby(s).A. oneB. twoC. threeD. four( )39. Most high school students ______ after school.A. go homeB. do homeworkC. take part in sports activitiesD. do nothing( )40. Girl students usually like to learn to play ______.A. the guitar and the drumsB. the piano and the fluteC. the guitar and the pianoD. the flute and the drums( ) 41. Students can ______ through reading books.A. meet new peopleB. visit strange, interesting placesC. get high marksD. A,B and C( )42. Which is the best title(题目)?A. American Students’ StudiesB. American Students’ ActivitiesC. American Students’ SocializingD. American Students’ Hobbies(C)In the world, different countries and different people have different etiquette(礼节) I think we'd better find out their customs (习俗) so that they will think we are polite.If you visit a Chinese family, first you should knock at the door, and then the host will say "Come in, please."When you go into the room, you should not sit down until the host asks you to do. When the host gives you a cup of tea, you should say "Thank you."and take it with two hands, not one hand, or they will think you are impolite. In Japan, before going into a house, it is good manners to take off your shoes. In a Malay house, a visitor never finishes the food on the table. He always leaves a little to show that he has had enough. But in England, a visitor always finishes a drink or the food to show that he enjoys it, and the host will be very happy. It's good for you to know the etiquette of different countries.()43. If you visit a Chinese family, you should __________first.A. take off your coatB.take off your shoesC.knock at the doorD.phone the host()44.In China, when the host gives you a cup of tea, you should take it with_____A. one handB.two handsC.one footD.two feet()45.In_______, before going into a house, it is good manners to take off your shoes.A.ChinaB.EnglandC.AmericaD.Japan()46.In a Malay house, a visitor_____on the table.A. never finishes the foodB.always finishes a drinkC.never eats the foodD.always finishes the food()47.This passage is talking about__________.A.the peopleB.the moneyC.the customsD.the places(D)Dear Sir,I must write through your column ( 栏目) to thank the gentleman who very kindly helped me and my family a few nights ago. It was raining heavily at the time and my car had broken down along a lonely stretch ( 一段路程) outside the city. It was also very dark. I tried to mend the car myself but couldn’t find out what was wrong with it. By then I was completely wet. Just then a young man stopped his car to help.He drove my family home first and later came back with a mechanic ( 机修工). He did not leave until the mechanic started my car and I was on my way home again. It was then that I found out I did not even know his name.Thank you, young man.Yours sincerely 根据以上内容,回答下列问题48.Why does Wei Laiming write the letter?_________________________________________________49.What was the weather like when his car broke down._________________________________________________50.He didn’t know what was wrong with his car then, did he?_________________________________________________51. Who stopped his car to help just?_________________________________________________52. When did he realized he did not even know the man’s name?________________________________________________四、选择方框中所给词的适当形式完成下面短文.( 10分)collect, seven, you, bear, particularly,stop, send, they, globe, getDear Jack,Thank you ________ me the snow globe of the monster. I love it. In fact I think it’s probably my favorite. I’ve been ________ snow glob es for seven years, and now I have 226 of them. My mom says I have to ________, because we’ve run out of room to store them. They’re all around our apartment. I even store ________ in boxes under my bed. The first one I ever ________ was a birthday cake snow globe on my ________ birthday. I ________ love globes with animals. I have a big one with ________ in it and another one with penguins. If you know anyone else who collects them, please tell me. I’d like to start a snow ________ collectors’ club. By the way, what’s ______ hobby?LoveEllen五、完成句子(16’)1. 顺便问一下,他们何时到达车站?__________________, when will they reach the station?2. 我有些重要的事告诉你。
《英语》期末考试试题考试班级:10级计算机(2)(3)班,数控(1),汽修(1)班印卷份数:220考试形式:闭卷班级:学号:姓名:分数:一、英汉互译。
(15题×2分/题=30分)1.See somebody off2.fashion show3. try on4. feel proud of5. welcome to6.from start to finish7. part-time 8. not yet9. fill in 10. what a shame11.晚礼服12.有点儿13.工作经历14.空调系统15.中国移动二、用下面正确的词填空。
(10题×2分/题=20分)1. from start to finish, menswear, perfect, take part in, try it onJimmy likes to design 1) . He once made a T-shirt for his friend Tom. It took Jimmy two days to make it 2) . He then let Tom3) . Tom thought it was 4) on him. He encouraged jimmy to 5) in the students’ fashion show with this T-shirt.2. meet, open, regard, safe, bar①----Does the hotel have a ?----yes, it’s24 hours a day.②---- I’m glad to you, Mr. Brown.-----I’m glad to meet you, too.③----Please give my to your parents.-----Thank you. I will.④----Have a journey home.-----Thank you1.三、用括号中词语的现在完成时态填空。
10级文理班英语月考试题及答案A卷1-5 D,B,A,C,B, 6-10 CBDCA 11-15CCCBD 16—20CABAC 21-25 BABDD 26-30BDACA一.单项选择(20分)1.The school is about 200 meters ______________ my home.A.far away fromB.far fromC.far awayD.away from2.Tom was made ______________ of the class last week.A.the monitorB.monitorC.a monitorD.to be a monitor3.He ______________ watching TV at home.A.likesB.is likingC.likeD.has liked4.If it ______________ tomorrow, I’ll go by car.A.rainB.will rainC.rainsD.would rain5.I am _____________ you have never heard of Shakespeare.A.amazingB.amazedC.amazeD.amazement6.No one helped me. I did it all _____________myself.A.forB.fromC.byD.to7.---Do you think it’s going to rain?--- _____________.A.I don’t hope soB.I hope notC.I don’t believe itD.I don’t think8.Many girls enjoy _____________ shopping.A.to goB.wentC.goD.going9.I’m looking forward to _____________you.A.hear fromB.to hear from youC.hearing fromD.heard from10.____________ it is to listen to him telling stories.A.What funB.what a funC.How funD.What funny11.The doctor told him to read the ____________ on the bottle before he took the medicine.A.introductionB. directionC. instructionsD.production12.She always tries her best to avoid ____________ mistakes.A. to makeB.from makingC.makingD.that she makes13.The factory produced ____________ cars in 2007 as the year of 2006.A.as twice manyB.as many twiceC.twice as manyD.twice many as14.How should I improve the ___________ of learning English?A.pathB.methodC.roadD.manner15.--- I’m afraid I can’t finish the work within three days.---________________.A.Please go aheadB.That’s all rightC.Not at allD.Take your time16.Looking at the ______________ snake, she was too _______________ to move.A.frightening, frighteningB.frightened, frightenedC.frightening, frightenedD.frightened, frightening/doc/971307984.html,e and sit down by the fire. Your hand ________________.A.feels so coldB.is felt so coldC.is feeling so coldD.feel so cold18.--- I’m sorry I broke your mirror.--- Oh,really? ______________.A.It’s OK with meB.It doesn’t matterC.Don’t be sorryD.I don’t care19.Selecting a mobile phone for personal use is no easy task because technology ___________so rapidly.A.is changingB.has changedC.will have changedD.will change20.The flight for Shanghai _______________ off at ten o’clock.I’m leaving for the airport two hours earlier.A.will takeB.is going to takeC.takesD.is taking二.阅读理解(20分)ATomorrow is Sunday. I’m not going to work. I’m twenty-two. My little brother isn’t going to school. He is ten yearsyounger than I. I’m going to do some shopping. My brother is going to do his homework. My parents are going to work. My father is going by bike,and my mother by bus. In the afternoon, I’m going to the pa rk with my brother. We’re going on foot. We’re coming home at five. My parents are going to get home at half past five. We must help mother cook the dinner. After supper, I’m going to dance with my friends, and my brother is going to watch TV with my parents.21、My brother is .A. tenB. twelveC. twenty-twoD. thirty-two22、My father’s going to work .A. by bikeB. on bikeC. by busD. on foot23、My brother and I to the park in the afternoon.A. am goingB. am walkingC. are walkingD. going24、My father and mother are coming back .A. at 7:30B. at 4:30C. at 6:30D. at 5:3025、I’m going to dance .A. at 6:30B. at 7:30C. after 7:30D. after supperBFor those of you who were born in the year of the pig, good luck and much success! This is your year. When talking to a Westerner, however, you've got to be a little careful when you talk about pigs. Chinese people view the pig as a smart and prosperous (rich, lucky) animal. Western ideas tend to be a little more negative(否定的).A pig in the West is seen as a dirty, lazy, and fat animal. If anyone ever called you a pig, you wouldn't be smiling. When a person doesn't like someone, sometimes he will call that person a pig.If you ever meet a Westerner who was born in the year of the pig, don't say, “Oh, you're a pig!” Most Westerners will be understanding. They will be sure that you made some kind of a mistake. However, don't take any chances. You might just offend (触怒)someone who does not share your positive(积极)ideas about pigs.26. You gave to be careful when you talk to a Westerner about pigs because______.A. they worship pigs best of allB. they consider pigs as bad animalsC. they aren't used to talking about pigs.D. they don't like the topic about pigs at all27. According to the passage we can see that Chinese people think of the pig as a _____ animal.A. cleverB. richC. goodD. all the above28. A Westerner will call someone a pig if he _______ that man.A. dislikesB. is afraid ofC. looks up toD. makes fun of29. When you call a Westerner a pig, who was born in the year of the pig, most of them _________.A. will be angryB. will be very surprisedC. can forgive(原谅)D. may quarrel with you30. From the passage we can conclude that _________.A. different people have different ideas about the same thingB. Westerners do not like pigs as much as the ChineseC. in general, Westerners and the Chinese don't like pigsD. all of the Chinese like pigs better than WesternersB卷三.单词拼写(20分)1.She shows a positive _____________________(态度)to her work.2.She felt _____________________(失望)at the news that he didn’t find thesuitable job.3.The teacher will not tolerate bad _____________________ in class(行为).4.She is active and _____________________ (热心的)about her neighbour’strouble.5.I like taking part in all kinds of after-school a_____________________.6.Can she speak Japanese with f_____________________.7.The visit to the Summer Place left us a strong i___________________.8.I was born in Weihai City,Shandong _______________________.9. A year is _____________________ into four seasons.10.The lecture is so _____________________ that they all felt asleepy.attitude,disappointed,behaviour ,enthusiastic,activities,impression,province,divided,boring四.短语翻译(30分)1.与…不同________________________2.换句话说________________________3.犯错误________________________4.与…相似________________________5.在…末________________________6.参加________________________7.打篮球________________________ 8.成群地,成组地________________________9.完全不象________________________10. 玩得高兴________________________Be different from, in other words, make mistakes, be similar to, at the end of, take part in, play basketball, in groups, nothing like , have fun doing sth五.句子翻译(10分)1.Would you __________ ___________ the questions for me?你介意回答我几个问题吗?2.I think we all __________ __________ __________ __________ __________ in just an hour.我认为在仅仅一个小时内我们都取得了很大的进步。
Section 1: Listening Comprehension (20 points)In this section, you will hear a variety of recorded materials. Listen carefully and answer the questions that follow.Question 1:What is the main topic of the lecture about the importance of teamwork?A. The benefits of working in a team environment.B. The challenges of working in a team.C. The role of teamwork in business success.D. The different types of teamwork.Question 2:According to the interview, what is the most common reason students drop out of college?A. Financial difficulties.B. Academic stress.C. Family issues.D. Lack of motivation.Question 3:Listen to the dialogue and answer the following question:What is the student's concern regarding the new assignment?A. The difficulty of the assignment.B. The deadline for the assignment.C. The requirements for the assignment.D. The resources available for the assignment.Section 2: Reading Comprehension (30 points)Read the following passages and answer the questions that follow.Passage 1:The Impact of Technology on EducationTechnology has revolutionized the way we live and learn. In recent years, it has become an integral part of the educational system. This passage explores the impact of technology on education.Questions 1-5:1. What is the main idea of the first paragraph?2. According to the passage, how does technology enhance the learning experience?3. What are some of the challenges that come with integrating technology in education?4. How does technology help students with disabilities?5. What is the author's opinion about the future of technology in education?Passage 2:The History of Canadian UniversitiesCanadian universities have a rich history that dates back to the 19th century. This passage provides an overview of the history of Canadian universities.Questions 6-10:6. When was the first university in Canada founded?7. What is the significance of McGill University in Canadian history?8. How has the number of universities in Canada changed over the years?9. What are some of the notable achievements of Canadian universities?10. What is the author's purpose in writing this passage?Section 3: Vocabulary (20 points)Choose the correct word to complete each sentence.1. The professor's lecture was so _______ that the students couldn't keep up with the pace.A. complicatedB. fascinatingC. boringD. intriguing2. The new policy has been _______ by the majority of the students.A. approvedB. rejectedC. postponedD. implemented3. The students were given a _______ to complete the project.A. deadlineB. assignmentC. outlineD. reference4. The professor's _______ encouraged the students to participate in class discussions.A. enthusiasmB. impatienceC. frustrationD. fatigue5. The student's _______ for the exam was evident in her stress levels.A. anticipationB. apprehensionC. anxietyD. concernSection 4: Writing (30 points)Write an essay on the following topic:The Role of Social Media in EducationIn your essay, you should:- Discuss the advantages and disadvantages of using social media in education.- Provide examples to support your points.- Offer your own opinion on the impact of social media on education.Note: The essay should be at least 250 words in length.。
Mathematics Contest1.(Audience1)In two vases A and B there are two kinds offlowers:rose and lily with a total number32.One third offlowers in A is rose,and one seventh in B is lily.How manyflowers are there in B?2.(Team1A)In the following figure,the left is isosceles trapezoid in which lengthsof upper base and two middle sides are all2,that of lower base is4.The right is regular six-angle star whose area equals that of the trapezoid.What is the perimeter of the star?3.(Team2A)Put1,2,3,4into the squares of the expression□+2×□+3×□+4×□=22such that the equality holds.What is the product of two numbers in the first and fourth squares?4.(Team3A)In triangle ABC,D and E are middle points of sides AB and ACrespectively,BC=6MN,and area of triangle GMN is3.Find the area of triangle ABC.5.(Team4A)Find the number of integers between1and100which can be factoredas a product of two distinct primes only.6.(Team5A)In trapezoid ABCD,AD=10,area oftrapezoid is70cm2.How many centimeters is the distance from middle point M of side BC to line AD?7.(Team6A)A botanical garden is planning to cultivate fourkinds of tulips with different colors in five pieces of land A,B,C,D,E,requiring that tulips in one piece must have thesame color,those in adjacent pieces(with a commonboundary)must have different colors,and free fornon-adjacent pieces.How many cultivation projects will the garden manager have?8.(Team7A)In Fig.,△ABC,△ACD,△ADE and△AEF are all the isoscelesright triangles,sum of their areas is30.Find AB+AD+AF=?9.(Team8A)Digits1to9are written on the blackboard.Wipe off some of them,and write all the products of any two digits remained such that digits0to9do appear at the unit’s place of all such products.How many digits can you wipe off on blackboard at most?10.(Audience2)There are three circular cards with differentsizes.Put two on a table each time.If in all possible cases,the greatest of areas covered by any two cards is25and theleast is10,what is the area of the greatest card?11.(Audience3)Starting from two ends of a diameter of acircular track,A and B walk along the track simultaneouslyand clockwise.10minutes afterwards,A catches up with Bfirst time.How many minutes afterwards again,does A catchup with B for the second time?12.(Common2)Can you paper an1×1×1cube completely with six square cards notall the same and their total area being6?If so,please demonstrate your papering pattern;if not,please explain the reason.13.(Team1B)Between100and200there are three consecutive natural numbers,inwhich the least is divisible by3,the medium is by5,and the greatest is by7.Write down such three consecutive natural numbers.14.(Team2B)Two square cards of side lengths6cm and8cmrespectively,are placed in a big square of side length10cm.Find the least value of area in big square and not covered bytwo small cards.15.(Team3B)Natural number n is a product of two primes,sum of its all divisorsexcluding n itself is equal to100.Then n=?16.(Team4B)In△ACB,∠ACB=90O,AC=1cm,AB=2cm.Rotate△ACBaround point B clockwise,such that point A is turned to A1on the extended line of side CB and point C is to C1.Let S be area swept over by AC as it turns to A1C1, and let T be area of the semi-circle with center B and radius1.Find S:T.17.(Team5B)A nonzero natural number is a multiple of25,and sum of its digits isalso a multiple of25.Which is the least in all such numbers?18.(Team6B)As shown in Fig.,six completely the same smallcuboids are exactly pieces to be a big cuboid of volume384cm3.Find the sum of all edges of a small cuboid.19.(Team7B)C an you write integers0to9in all small circlesas shown in Fig.respectively,such that all sums of three integers on any of six line segments will equal the same one value?20.(Team8B)There are three rectangular ironboards with sizes shown in figure.Welding them together as side face and with cement base to form a temporary container to hold water.Three ironboards cannot be cut into pieces,it is allowed to weld them together at edges only.How many dm3of water does it contain at most?21.(Audience4)Visitors enter the park at10:30,and walk along the main road fromeast gate to west gate.In the way there is a route sign writing:2220meters to east gate,660meters to west gate.Then they arrive at west gate to leave at11:20.Find the average speed of visitors walking(km/h).22.(Audience5)Can you write proper ten numbers in all smallcircles shown in figure,such that all sums of three numbersin vertices of any black triangle are always equal to2012,inaddition all sums of that of any white one are always2013?Please explain the reason.23.(Common3)Using a pattern board of angle31°and apencil as tool,can you draw an angle of13°?Explainthe reason.24.(Quick1)Divide nine digits1,2,3,4,5,6,7,8,9into two groups and form twomultidigit numbers with digits in each group respectively,such that one is just2times the other.Please write three different solutions,for each solution there is one number keeping digit5at thousand’s place.25.(Quick2)Write natural numbers1to2013successively and without a gap toobtain a multidigit number123456789101112…201120122013.If dividing it by9,what is the remainder?26.(Quick3)Area of regular hexagon ABCDEF inscribedin a circle,as shown in figure,is18cm2.With AB,BD,DE,EA as diameters,draw four semi-circlesoutwards.Find the sum of areas of four crescents(shaded area).27.(Quick4)There are2013cards written with numbers1to2013respectively.Canyou divide them into three groups such that the ratio of sums of numbers in three groups will be1:2:3?Explain the reason.28.(Quick5)Here is a cube skeleton of side-length4.On eachedge are equidistributed5points with a distance1betweentwo adjacent points including vertices.Altogether44pointsare labeled on,as shown in figure.How many different linesare there through at least two points of them?29.(Quick6)Find the number of four-digit integers which are not divisible by1000and in which digits in thousand’s and unit’s places are even.30.(Quick7)As shown in figure,14cards written with different natural numbers areplaced in a line and in an increasing order of their numbers from left to right.It is known that sum of these numbers is equal to170.Removing the most left and the most right cards,sum of the remained numbers is equal to150.Which is the number in the original third card to the left?31.(Quick8)On each face of a cube,write a positive integerrespectively.Then on each vertex,write a product of integers on three faces including it(vertex)respectively.May the sum of integers on all vertices be2013?If so,please give the sum of integers on all faces;if not,please explain the reason.32.(Common4)In a paperboard there is drawn aparallelogram ABCD,and P is a point in ing a pairof compasses,a no-scale rule and a pencil,please draw aquadrilateral whose sides equal PA,PB,PC and PDrespectively,and whose area equals half of the parallelogram.。
2023数学专业英语试题及参考答案数学专业英语试题一、词汇及短语1. For a long period of the history of mathematics, the centric place of mathematical methods was occupied by the logical deductions “在数学史的很长的时期内,是逻辑推理一直占据数学方法的中心地位”2. An equation is a statement of the equality between two equal numbers or number symbols.equation :“方程”“等式”等式是关于两个数或数的符号相等的'一种陈述3. In such an equation either the two members are alike, or become alike on performance of the indicated operation. 这种等式的两端要么一样,要么经过执行指定的运算后变成一样。
注“two members”表等号的两端alike 相同的一样的On the performance of …中的“on”引导一个介词短语做状语Either…or…4. is true “成立”5. to more and change the terms移次和变形without making the equation untrue 保持方程同解数学专业英语试题二、句型及典型翻译1. change the terms about 变形2. full of :有许多的充满的例 The streets are full of people as on a holiday(像假日一样,街上行人川流不息)3. in groups of ten…4. match something against sb. “匹配”例 Long ago ,when people had to count many things ,they matched them against their fingers. 古时候,当人们必须数东西时,在那些东西和自己的手指之间配对。
GRADE 10 PRINCIPLES OF MATHEMATICS (ACADEMIC)MPM 2DTotal Marks:INSTRUCTIONS:1. Calculators may be used.2. Read all instructions carefully in order to maximize your mark.A/C [K] Part A – Multiple Choice 25 Marks (25 questions * 1 mark each)For each of the following questions in this section, circle the letter representing the correct answer.1. A linear system of two equations that has one solution represents two lines that are:a) parallel b) coincident c) intersecting d) none of these2. The midpoint of RS is M(8, -1). If point S has coordinates (11, 4) what are the coordinates of point R ?a) (3, -6) b) (15, -6) c) (5, -6) d) (3, 9)3. The midpoint of the line segment with end points A(-8, 8) and B(6, 4) is:a) (0, 10) b) (1, 2) c) (7, 2) d) (-1, 6)4. The equation of a horizontal line passing through the point (4, 2) is:a) 2=x b) 4=y c) 2=y d) 4=x5. The equation of a line with a slope of 5=m and a y intercept of 8 is:a) 85+=x y b) 85+-=x y c) 85--=x y d) 58+=x y6. The slopes of 2 lines are -7 and71. These lines are said to be:a) parallel b) perpendicular c) coincident d) none of these7. The slope of a line segment passing through 2 points (10,- 4) and (-2, -16) is:a) 1 b) 2 c) -1 d) -28. The length of a line segment with end points (-6, 7) and (-1, -5) is:a) 12 b) 5 c) 13 d) 1699. The diameter of a circle whose equation is 28922=+y x is:a) 15 b) 16 c)17 d) none of these10. The equation of a circle with a centre of (0, 0) that also passes through the point (-8, -6) is:a) 1022=+y x b) 10022=+y x c) 1422=+y x d) 4822=-y x11. The y-intercept of the line 01052=+-y x is:a) 2 b) -2 c) 10 d) 512. The slope of the line 0124=-+y x is:a) 2 b) -2 c) 1 d) 013. If (-3, y) is a solution to the equation 132=+y x , what is the value of y ?a) 3 b) 6 c) 5 d) 814. The product ()()z y x z y x 323243-- is equal to:a) 2612z xy b) 26412z y x c) 2612z xy - d) 00412z y x15. A simplified expression for ()()n m n m ----52 is:a) m 7 b) n m 27+ c) m 3- d) n m 27-16. A simplified expression for 242927abcbc a -- is:a) ac 3 b) abc 3 c) 23ac d) 223c a17. The slope of the line, which is perpendicula r to the line, 084=+-y x is:a) -4 b) 4 c) 1 d) -118. The shortest distance from the point (2, -3) to the line 4-=x is:a) 5 b) 3 c) 2 d) 619. The value of the polynomial 8542+-a a when 3-=a is:a) 59 b) 44 c) 13 d) 2920. Which of the following is not a function :a) ()()(){}7,6,5,4,3,2 b) 22x y = c) 22y x = d) ()()(){}3,8,3,7,2,621. The range of the relation whose equation is 52--=x y is:a) 5-≤y b) 5≤y c) 5-≥y d) 5≥y22. The vertex of the parabola ()642--=x y is:a) ()6,4- b) ()6,4- c) ()4,6- d) ()4,6-23. The equation of the axis of symmetry of the parabola ()5242+--=x y is:a) 5=x b) 5-=x c) 2=x d) 2-=x24. A parabola with a vertex of ()3,2 and a stretch factor of 41- (relative to 2x y =) wouldhave an equation of:a) ()32412+--=x y b) ()32412++-=x y c)()23412-+-=x y d) ()23412++-=x y25 The parabola k x y +-=24 passes through the point ()3,2-. T he value of k is:a) -19 b) 11 c) 13 d) 19A/CPart B – Short AnswersFor each of the questions in this section, write your answers in the spaces provided . Use the foolscap provided for any rough work. Show details of calculations wherever requested.1. In the accompanying diagram, state each of the following: (4 Marks)[K] a) domain: __________ (1 Mark) [K] b) range: __________ (1 Mark)[C]c) Is the relation a function? Justifyyour answer. (2 marks)[A] 2. The x-intercepts of the parabola 2892-=x y are: __________ and __________. (Show your work) (2 Marks)[A] 3. The roots of the quadratic equation 0101732=+-x x are: __________ and __________. (Show your work) (3 Marks)[A]4. Write the equation of the parabola with a vertex of (4, 23) if it passes through the point (-1, -2): (Show your work) (3 Marks)____________________ [T] 5. A line passes through 2 points (1, 4) and (2,-4). Calculate the slope of the line. Also show the equation of the line in the form 0=++CByAx. (Show your work) (4 Marks)____________________ ____________________Slope Equation[K] 6. The Tangent of45 is: __________ (1 Mark)[A] 7. a) In the accompanying diagram, the two triangles are similar. What is the value of x?(Show your work) (2 Marks)=x__________[T] b) If the area of the smaller triangle is 8 cm2, what is the area of the larger triangle?(Show your work) ( 2 Marks)Area = __________[K] 8 Given that sin A =21, find A∠ (to the nearest degree) __________ (1 Mark)[A] 9. In the accompanying right triangle, find the value of x to one decimal place.(Show your work) (2 Marks)=x ________[A] 10. Use the SINE LAW to find the value of side x to one decimal place. (Show your work) (2 Marks)x = ________[A] 11. Use the COSINE LAW to find the value of side x to one decimal place. (Show your work) (2 Marks)x = ________[T] 12. Factor each of the following to the fullest extent possible: (4 Questions * 2 marks each)a) y x my mx 22--+________________________b) 31142--x x________________________c) 2416916y x -________________________3028︒x56︒42︒x3056︒2030xd) 2225309s rs r +-________________________A/CPart C – Full Solutions RequiredFor each of the questions in this section, full solutions are required. Record your answers in the spaces provided. Use the foolscap provided for any rough work.[A] 1. Solve the linear system using the elimination method . Remember to find values for both x and y. (5 Marks) 225=+y x2132-=-y x[C]Explain what the solution above represents geometrically. How do you know that the solution you arrived at is the correct answer? (2 Marks)[A] 2. Expand and simplify the polynomial ()()()21432+-+-x x x . (4 Marks)[T] 3. Find the equation of the line perpendicular to the line 088=-+y x and passing through the point (-4, 1). (4 Marks)[T] 4. From the window of one building, a man finds that the angle of elevation to the top ofa second building is 47︒ and the angle of depression to the bottom of the samebuilding is 58︒. The buildings are 60 m apart. Find the height of the 2nd building tothe nearest metre. A diagram is required. (6 Marks)[T] 5. ∆ABC has vertices A(1, 7), B(-5, 3) and C(3, -1). Determine the equation for AE, the altitude from vertex A to the opposite side BC. (5 Marks)6. The hypotenuse of a right triangle is 26 cm. The sum of the other two sides is 34 cm.(9 Marks)[T] a) Find the length of the other two sides of the triangle. (3 Marks)[T] b) Find the measure of the other two angles. Round to the nearest degree. (3 Marks) [C] c) Describe a situation where you would be able to use knowledge of thePythagorean theorem in a practical, real life situation. (3 Marks)[T] 7. A rectangular skating rink measures 20m by 20m. It has been decided to increase the area of the rink by a factor of 4. Determine how much each side should beextended. Assume that each side is extended by the same amount. (6 Marks)[C]What is the significance of keeping the skating rink in the shape of a square? Justify your answer. (3 Marks)[A] 8. a) Solve 35122+=d d using the quadratic formula. (2 Marks)[A]b) Solve 03122=-x by factoring. Check your solutions. (2 Marks)。