修订版领科国际学校秋季入学考试模拟试题【精选】

国际学校入学考试真题解析如果你的孩子准备转轨国际学校，入学考试这一难关如何过？一些家长们趋之若鹜的学校不仅申请流程复杂，招生要求严格，录取名额还少得可怜。

该如何做好充分准备呢？对于各个学校的入学考试，也要有针对性地了解，但总体而言，国际学校的入学考试有英语、数学，部分国际学校会增加科学、语文等考核。

国际学校的入学考试是怎样的？有没有入学考试真题供孩子了解国际学校入学测试？这篇文章一一告诉你！英语中考真题答案：46.B 47.E 48.D 49.A某国际高中真题答案：1.L 2.C 3.K 4.B 5.J 6.E 7.F 8.A 9.H 10.I解析：两篇选词填空的体裁都是叙事性的，在理解故事的同时判断需要填入词的词性和词意。

对比来看，该道国际高中招生考试题目有以下特点：1. 选词填空篇幅更长，故事发展的细节更加丰富，考察学生的逻辑思维。

2. 框内的词汇多为动词，个别超出中考的词汇范围，考验学生的词汇量。

3. 更加考验学生对词汇的正确运用。

比如我们来看第5题。

很多学生会下意识地选择 D. left来表示其他学生离开了。

但是仔细观察这句话“when all the other students were____ 这里有一个非常容易被忽视的be 动词”were“，如果想用”left”来表示学生离开了的话，是不需要在left前面加“were”的，所以我们可判断出在这里表示的是被动结构 be done，而需要选择的词是“dismissed”表示“被解散”，即“离开”。

数学某国际高中真题In triangle ABC, BC = 4, AB = x, AC= x +2, andcos(∠BAC) =，find all possible values of x.答案：解析：本题的题目中有边的条件，以及一个角的余弦值的条件，所以可以运用余弦定理进行解答。

在体制内初三数学当中，虽然也学习到了锐角三角比的知识，但是主要是放在直角三角形当中去运用，即解直角三角形。

国际学校2019-2020学年第一学期八年级英语开学考试题（时间：120分钟总分：150分）I. 单项选择（共30小题，计30分）从四个选项中选择正确答案填空。

( ) 1. Is there a post office near your home?A Yes , it is.B No , it isn’tC ,Yes, there is.( ) 2 My home is the school.A . next .B next to.C next of.( )3.-- do you go home every day?---At seven o’clock.A. WhyB. WhenC. How( )4. Lucy usually has rice breakfastA . at B. for C. of( )5 My sister was born Tuesday 2001.A . in …at.B .on…inC . in…on( )6 .Lily is American girl , she plays violin very well.A .an…tne . B. an…/ C. a … the.( )7 Mr Li two sons. They students.A . has…is . B. has…are. C . have…is.( )8.He often helps his friends their English.A. at.B. on.C. with( ) 9 .She is a good , and she well.A singer…sings.B . singer…sing.C . sing…singer( ) 10. Let’s to a movie. LilyA. to go.B. go .C. goes.( )11. Where is your pen pal ?----Canada.A. from .B. ofC. on( ) 12.-- did you go to school yesterday?---By bike.A. WhenB. How.C. Why.( )13. What is Tom doing, Bob?He is Tv now.A watching . B. watch. C. watches.( )14. We have lunch at 12: every day.A. the.B. /C. a( )15. -- does lucy look like?--She is tall and she has brown hairA. WhenB. WhatC. Where（）16.They can English .A .sayB .speakC .talk（）17.Don’t play basketball . Please play guitar .A . the ,theB .the , / C. / , the（）18.How about the music ?A .listen toB .listenC .listening to（）19. students are there in your class ?A .How muchB .How manyC .How（）20.There some milk in the glass .A .areB .isC .has（）21.Can Lucy ? No , she .A .swim , can’tB .swims , can’tC .swims , cann’t（）22. your father to work at 8:30 .A .Do …,haveB .Have … / C. .Does …,have（）23. your homework at school .A .Don’tB .Don’t doC .Doesn’t do（）24 What do you think of soap opera ? I can't them.A. standB. seeC. look（）25. It's time to school .A. goingB. wentC. to go（）26.The post office is your right .A .inB .onC .at（）27. Sundays . I usually go to visit my grandfather .A .inB .onC .at（）28.The Green family enjoy TV very much .A .watchB .watchingC .watches（）29.Is this pen ? No , it’s pen .A .you ,hisB .you ,himC .your ,his（）30.Is this our classroom their classroom ? It’s our classroomA .andB .butC .orII. 完形填空（共10小题，计10分）通读下列短文，掌握其大意，然后在各题所给四个选项中选出1个最佳答案。

国际班入学考试试卷一、听力理解（共20分）1. 听下面一段对话，回答第1-5题。

（播放录音）问题：1. 他们计划去哪个地方？2. 他们打算什么时候出发？3. 他们为什么要去那里？4. 他们将如何到达目的地？5. 他们预计会在那里待多久？二、阅读理解（共30分）阅读下列短文，回答第6-15题。

（短文内容）问题：6. 短文中提到的主要人物是谁？7. 他们的主要目的是什么？8. 短文中提到的第一个地点是哪里？9. 他们是如何到达第一个地点的？10. 在第一个地点他们遇到了什么困难？11. 短文中提到的第二个地点有什么特点？12. 他们为什么选择去第二个地点？13. 短文中提到的第三个地点与前两个地点有何不同？14. 他们最终解决了什么问题？15. 短文的作者想要传达什么信息？三、完形填空（共20分）阅读下面的短文，从16-25题的选项中选择一个最佳答案填空。

（短文内容）问题：16. A. because B. although C. unless D. if17. A. knew B. knew about C. was aware of D. knew that18. A. however B. therefore C. otherwise D. besides19. A. less B. fewer C. less than D. fewer than20. A. despite B. in spite of C. even though D. regardless of21. A. which B. that C. who D. whom22. A. such B. so C. as D. like23. A. it B. this C. that D. those24. A. might B. could C. would D. should25. A. until B. after C. before D. since四、语法与词汇（共15分）26-35题，每题提供一个句子，从A、B、C、D四个选项中选择一个正确答案。

领科国际部-初升高-笔试口语题目.txt 领科国际部-初升高-笔试口语题目
1.介绍自己
请用英文自我介绍。

2.我最喜欢的科目
请告诉我们你最喜欢的科目，并解释喜欢这门科目的原因。

3.我最擅长的技能
请分享你最擅长的技能，并详细说明你对该技能的使用和应用。

4.我的兴趣爱好
请描述一下你的兴趣爱好，以及你是如何发展和追求这些兴趣
爱好的。

5.我的家乡
请介绍一下你的家乡，包括其位置、气候、特色以及你最喜欢
的地方。

6.假如你有机会去任何一个国家旅行，你会选择哪个国家？并解释你的选择原因。

7.我的梦想职业
请告诉我们你的梦想职业是什么，并说明你为什么选择这个职业以及你计划如何实现它。

8.你认为学生应该如何平衡学业和课外活动？请分享你的观点和个人经验。

9.成为___的一员是你的目标吗？请解释你为什么想加入___，以及你能为团队带来什么。

10.面对困难和挑战，你通常如何应对？请分享一个你遇到的挑战，并描述你是如何克服它的。

11.请列举三个你认为重要的品质，为什么你认为这些品质对个人成功非常重要？
12.请从你认识的一个人身上，介绍一个你很欣赏的品质，并解释为什么你欣赏这个品质。

以上是___-初升高-笔试口语题目，请按照题目顺序回答。

祝你好运！
注意：请逐题回答，保持简洁明了，用书面语回答。

每个问题回答不少于50字。

随着这几年国际学校的持续升温，越来越多中国体制内受教育的学生开始选择就读国际学校，而每家国际学校的入学条件和课程设置都不一样。

所以家长在为孩子选择学校的时候要务必仔细斟酌考量，做到理性选择学校。

今天就为大家介绍一下上海国际学校的和入学条件和模拟试题。

一、领科学校入学时间入学时间丨2019春季入学考试时间丨2018年10月27日（周六）13:00～16:00 / 2018年11月25日（周日）建议没什么把握参加第一场，可以考两次考试科目丨英语（13:00-14:20）、数学（14:35-15:55）招生对象丨初三、高一在读学生（面向全国，不限户籍）招生数量丨60人录取要求丨招生人数少，比秋季班更难报名方式丨登录官方网站进入“招生咨询”之“报名登陆”，填写报名表。

二、数学模拟试题内容数学.1Section A10 questions（10 marks）：基本单词默写Section B15 questions（30 marks）：解答题Section C1 question (6 marks):压轴题数学1.The Number System2.Linear equations &Linear systems3.Quadratic equations4.Linear inequalities5.Linear functions6.Quadratic functions7.Reciprocal functions8.Graph transformations: translation, rotation9.Angles in parallel lines10. Triangles11.Quadrilaterals12.Similar shapes13.Sine, cosine, tangent in an acute-angled triangle14. Circles15. Probability and statistics通过入学模拟考试，家长和学生可以：1.让学生可以真实体会国际学校入学考试的强度和节奏。

Multiple Choice:(18’)1、If there are no dancers that aren't slim and no singers that aren't dancers, then which statements are always true?( ).A.There is not one slim person that isn't a dancerB.All singers are slimC.Anybody slim is also a singerD.None of the above2、In the equation (x-5)2+(y-2)2=16, the center of the circle is answer choices( ).A.(5,2)B.(-5, -2)C.(-5, -3)D.(5,3)3、In the following diagram,which of the following is not an example of an inscribed angle of circle O( ).A.NST∠ D.∠ C.SNT∠ B.MNS∠NSMQ3 Q4 Q54、What can you NOT conclude from the diagram at the right? ( ).A. c=dB. a=bC. c2 + e2=b2D. e=d5、If m∠KLM=20° and measure of arc MP=30 ° ,what is m∠KNP?( ).A.25°B.50°C.35°D.70°6、What is the negation of the statement ''The coat is blue''? ( ).A. the coat is greenB. the coat is sometimes blueC. the coat is not blueD. it is not true that the coat is not blue7、Which of the following is equal to cos35°( ).A. Sin35°B. Cos55°C. Sin55°D. cos145°8、Look at this series: 80, 10, 70, 15, 60, … What number should come next?( ).A. 20B. 25C. 30D. 509、What is the contrapositive of the proposition ''If a polygon has three sides then it is a triangle''?( ).A.''If a polygon is a triangle, then it has less than three sides.''B.''If a polygon is not a triangle, then it does not have three sides.''C.''If a polygon is not a triangle, then it has more than three sides.''D.''If a polygon is a triangle, then it does not have three sides.''Fill in the blank with sometimes, always, or never. (7’)1)Two tangents to the same circle from the same point are_______ congruent to each other.2)If two inscribed angles are congruent, then their intercepted arcs are________ congruent.3)If a line bisects an arc, then it_______bisects the chord of the arc.4)The measure of a central angle is______equal to the measure of its intercepted arc.5)If a radius bisects a chord of a circle, then it____bisects the minor arc of the chord.6)If two arcs are congruent, an inscribed angle of one arc is______congruent to an inscribed angle of the other arc.7)If two chords of a circle are not congruent then the shorter chord is_______ closer to the center of the circle.Find the value of x in each figure below.(6’)The circle C has equation (6’)0195242022=+--+y x y xThe centre of C is at the point M1)Find the coordinate of the point M and the radius of the circle C.2)N is the point with coordinate (25,32), find the length of the line MN.Use the reference angle method above to solve the following:(12’)()⎪⎭⎫ ⎝⎛-43sin 1π ()⎪⎭⎫ ⎝⎛629cos 2π ()()︒420tan 3()⎪⎭⎫ ⎝⎛49sec 4π— ()()︒510csc 5 ()⎪⎭⎫ ⎝⎛319cot 6πFor each the following statement ，do each of the following(8’)：“All Park View students will graduate.”Conditional: _______________________;Symbol________________;Converse: ________________________;Symbol________________;Inverse: __________________________;Symbol________________;Contrapositive: ____________________;Symbol________________.In circle O, diameter AB and ED intersect at center O;chord BD and tangent CB , Secant CDA,if the measure of arc EA equals 80°,the measure of arc AD equals 100°,find (5’)：1)m∠EOB=_____________; 2)m∠BAD=_____________; 3)m∠C=_____________;4)m∠CBD=_____________; 5)m∠EDB=_____________.Find the m∠DGF to the nearest whole degree.(4’)：Extra Questions:(10’)1、The8×18rectangle ABCD is cut into two congruent hexagons, as shown, in sucha way that the two hexagons can be repositioned without overlap to form a square. What is Y?2、Square ABCD has side length s, a circle centered at E has radius r,and r and s are both rational. The circle passes through D, and D lies on BE. Point F lies on the circle, on the same side of BE as A. Segment AF is tangent to the circle, and 259+=AF . What is sr ?3、All of the triangles in the diagram below are similar to isosceles triangle ABC, in which AB=AC. Each of the 7 smallest triangles has area 1, and triangle ABC has area40. What is the area of trapezoid DBCE?。

国际⾼中⼊学考试卷+答案（2）Entry Examination PaperCandidate Name: ________Score:___________(总分100+20)1、Multiple Choice(18’)1)If there are no dancers that aren't slim and no singers that aren't dancers, then which statements are always true?( ).A.There is not one slim person that isn't a dancerB.All singers are slimC.Anybody slim is also a singerD.None of the above2)In the equation (x-5)2+(y-2)2=16, the center of the circle is answer choices( ).A.(5,2)B.(-5, -2)C.(-5, -3)D.(5, 3)3)In the following diagram,which of the following is not an example of an inscribed angle of circle O( ).A.NST ∠B.MNS ∠C.SNT ∠D.NSM ∠Q3 Q4 Q54)What can you NOT conclude from the diagram at the right? ( ).A. c=dB. a=bC. c 2 + e 2=b 2D. e=d5)If m ∠KLM=20° and measure of arc MP=30 ° ,what is m ∠KNP?( ).A.25°B.50°C.35°D.70°6)What is the negation of the statement ''The coat is blue''? ( ).A. the coat is greenB. the coat is sometimes blueC. the coat is not blueD. it is not true that the coat is not blue7)Which of the following is equal to cos35°( ).A. Sin35°B. Cos55°C. Sin55°D. cos145°8)Look at this series: 80, 10, 70, 15, 60, … What number should come next?( ).A. 20B. 25C. 30D. 509)What is the contrapositive of the proposition ''If a polygon has three sides then it is a triangle''?( ).A.''If a polygon is a triangle, then it has less than three sides.''B.''If a polygon is not a triangle, then it does not have three sides.''C.''If a polygon is not a triangle, then it has more than three sides.''D.''If a polygon is a triangle, then it does not have three sides.''2、Fill in the blank with sometimes, always, or never. (14’)1)Two tangents to the same circle from the same point are_______ congruent to each other.2)If two inscribed angles are congruent, then their intercepted arcs are________ congruent.3)If a line bisects an arc, then it_______bisects the chord of the arc.4)The measure of a central angle is______equal to the measure of its intercepted arc.5)If a radius bisects a chord of a circle, then it____bisects the minor arc of the chord.6)If two arcs are congruent, an inscribed angle of one arc is______congruent to an inscribed angle of the other arc.7)If two chords of a circle are not congruent then the shorter chord is_______ closer to the center of the circle.3、Find the value of x in each figure below.(8’)4、The circle C has equation(10’)0195242022=+--+y x y xThe centre of C is at the point M1)Find the coordinate of the point M and the radius of the circle C.2)N is the point with coordinate (25,32), find the length of the line MN.5、Use the reference angle method above to solve the following:(12’)()??? ??-43sin 1π ()??629cos 2π ()()?420tan 3()??? ??49sec 4π— ()()?510csc 5 ()??319cot 6π6、For each the following statement ，do each of the following(8’)：“All Park View students will graduate.”Conditional: _______________________;Symbol________________;Converse: ________________________;Symbol________________;Inverse: __________________________;Symbol________________;Contrapositive: ____________________;Symbol________________.7、In circle O, diameter AB and ED intersect at center O;chord BD and tangent CB , Secant CDA,if the measure of arc EA equals 80°,the measure of arc AD equals 100°,find (5’)：1)m ∠EOB=_____________; 2)m ∠BAD=_____________; 3)m ∠C=_____________;4)m ∠CBD=_____________; 5)m ∠EDB=_____________.8、Find the m ∠DGF to the nearest whole degree.(4’)：Extra Questions:(20’)1、Square ABCD has side length s, a circle centered at E has radius r,and r and s are both rational. The circlepasses through D, and D lies on BE. Point F lies on the circle, on the same side of BE as A. Segment AF is tangent to the circle, and 259+=AF . What issr ?2、All of the triangles in the diagram below are similar to isosceles triangle ABC, in which AB=AC. Each of the 7 smallest triangles has area 1, and triangle ABC has area 40. What is the area of trapezoid DBCE?1、Multiple Choice:1) B ; 2) A ; 3) A ; 4) D ; 5) C ; 6)C ; 7) C ; 8) A ;9) B .2、Fill in the blank with sometimes, always, or never.1. Always ;2. Always ;3.Sometimes ;4.Always ;5. Always ; f. Always ; g. Never.3、Find the value of x in each figure below.(1) 86° (2)74°4、The circle C has equation.(1) 49 (2)255、Use the reference angle method above to solve the following: (1)22- (2) 23- (3)3(4)2 (5) 2 (6)336、For each the following statement ，do each of the following ：Conditional: _If students are All Park View ’s,then they will graduate__; Symbol____q p →____; Converse: __If students will graduate ,then students are All Park View ’s___;Symbol____p q →______; Inverse: __If students are not All Park View ’s,then they will not graduate_____;Symbol____qp ?→?__________;Contrapositive: _If students will not graduate ,then students are not All Park View ’s____;Symbol____p q ?→?___.7、1)m ∠EOB=100°; 2)m ∠BAD=40°; 3)m ∠C=50°; 4)m ∠CBD=40° 5)m ∠EDB=50°.8、132°Extra questions ： 1)952)24。

2018–2019 Entry Examination PaperCandidate Name: _________Score:___________/50 _____________________________________________________________________ MATHEMATICS October/ 2018 Paper(Core)30 minutes Candidates answer on the Question Paper. Additional Materials: Electronic calculator Geometrical instruments Tracing paper (optional)_____________________________________________________________________ READ THESE INSTRUCTIONS FIRSTWrite your Class number and name on all the work you hand in. Write in dark blue or black pen.You may use an HB pencil for any diagrams or graphs.Do not use staples, paper clips, glue or correction fluid.DO NOT WRITE IN ANY BARCODES.Answer all questions. If working is needed for any question it must be shown below that question. Electronic calculators should be used. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. For , use either your calculator value or 3.142.1、please choose the correct one(10’).1)What is the minimum value of ()x x x f cos sin =( ).(A) -1 (B)-1/2 (C)1/2 (D) 12)Point(3,-8)and(8,-8)are two points on the quadratic function c bx x y ++=2,the axis of symmetry is ( ).(A) x=4 (B x=3 (C) x=-5 (D) x=-13)｛U n ｝is an arithmetic sequence with positive difference ,if U 1+U 2+U3=15, U 1.U 2.U3=80, soU 11+U 12+U 13=( )(A) 120 (B)105 (C)90 (D) 754)If 0log log 33＞＞b a ,so ( )(A) 0＜a ＜b ＜0 (B)1＜a ＜b (C)0＜b ＜a ＜0 (D) )1＜b ＜a5)A plastic toy is consists of a right circular cylinder and cone as shown in the picture. The radius of cone and cylinder is 4 cm. The height of cylinder and cone are 18 cm and 9 cm respectively. If density of plastic is 1 grams per cm 3, find the weight of plastic toy. (Assume π=22/7) ( )(A) 3.168kg (B) 0.528kg (C) 2.112kg (D) 1.105kg2、Fill the blank(5’).1)The graph of quadratic function ()02≠++=a c bx ax y as showed ,which are correct_______; ①0<a ②0<b ③0<c ④042<-ac b2)2sin30°-16=_______ ; 2 sin 260°-3tan30°-2cos 245°=_________.；3)a,b and c are three sides of △ABC,∠C=90°,a+b=14, c=10 , the area of △ABC=__________；4)(-1)1•(-1)2•(-1)3•…•(-1)99•(-1)100=__________;5)If the graph y=|x| is translated 2 units to the left ,what is the expression___________.3、(i) Express -x 2+6x −5 in the form a(x + b)2+c, where a, b and c are constant The function f : x -x 2+6x −5 is defined for x ≥m, where m is a constant. (ii) State the smallest value of m for which f is one -one(iii)For the case where m=5,find an expression for f −1(x),state the domain of f −1.(10’).4、The function f is such that f ’(x)= 3x 2 −7 and f(3) = 5. Find f ’(x).(5’).5、Given f : x 2x + 3 and g : x 1- x, find in simplest form: (10’).(a)(f ± g)(x) (b)(f ± g)(-3)6、Find:(10’).()()dx x a 432⎰+ ()dx xb ⎰-211。

Entry Examination PaperCandidate Name: ________Score:___________(总分100+20)1、Multiple Choice:(28’)1)Which polygon has FIVE sides? ( ).A.QuadrilateralB.PentagonC.HexagonD.Octagon 2)Three nocollinear points determine ( ).A.A rayB.A planeC.A line segmentD.No determination can be made. 3)What is the value of cd in the equation 32cd =11cd – 42?( ). A.21-B.21 C.2 D. –24Write an equation in slope-intercept form for the line that has a slope of –4 and passes through (1, 2).( ). A. y = –2x + 4 B.y = –4x + 6 C.y = –4x + 2 D.y = –4x + 95)Write an equation in slope intercept-form for the line that passes through (0, 5) and is parallel to the line whoseequation is 4x-y = 3.( ). A.541+-=x y B.y = 4x – 3C.541+=x y D. y = 4x + 56)The graph of the linear inequality 232+-≤x y is the region ___?__ the graph of 232+-=x y .( ).A.aboveB. belowC. on or aboveD. on or below7)Angles that share a common vertex point cannot ( ).A.share a common angle side.B.be right angles.e the vertex letter name as an angle name.D.share interior points.8)If the ratio of the measure of three exterior angles of a triangle is2:3:4, the measure of the maximum interior angle of the triangle is( ).A.90°B.110°C.100°D.120° 9)If 32=m , then what is the value of 65m ?( ). A.15 B.30 C.45 D.13510)Two angles are complementary. The measure of one angle is 15° more than twice the other.What is the measure of the smaller angle? ( ).A. 25°B.35°C. 55°D.65° 11)Write a description of the rule ()()4,7,+-→y x y x .( ).A. translation 7 units to the right and 4 units upB. translation 7 units to the left and 4 units downC. translation 7 units to the right and 4 units downD.translation 7 units to the left and 4 units up12)Which is the equation of a line that passes through a point with coordinates (7, –1) and is perpendicular to thegraph of y+2x=1?( ).A.2y=2x–5B.2y=x-9 C .2y=x + 2 D. y=x–413)Which describes the number and type of roots of the equation 4x + 7 = 0?( ).A.1 imaginary rootB.1 real root and 1 imaginary rootC.2 real rootsD.1 real root14)What is the angle of rotation symmetry for a shape that has rotational symmetry of order 5？( )A. 144°B.36°C.72°D. 75°2、State whether the following statements are true or false. (20’)a. _________ Two lines must either intersect or be parallel.b. _________ In a plane, two lines ⊥ to the same line must be parallel.c. _________ In space, two lines ⊥ to the same line are parallel.d. _________ Vertical angles must have the same measure.e. ________ Two planes can intersect at a point.f. ________ If a line is ⊥ to a line in a plane, it is ⊥ to the plane.g. ________ Two acute angles can be supplementary.h._______A triangle is a plane figure.i. ________Three parallel lines must be co-planar.j. ________Two acute angles are always complementary.3、Solve each inequality algebraically. (10’)(1)2x2 + 15x+ 7 ≥ 0 (2)2 x2– 7x – 15 < 04、Find the coordinates of the vertices of each figure after the given transformation.(12’)(1)rotation 180° about the origin L(- 3, 2), G(- 3, 5), J(1, 5) —————————————————————————(2)Rotation 90° clockwise about the origin K(1, 0), G(4, 1), Z(3, −4)—————————————————————————(3)Rotation 90° counterclockwise about the origin I(- 4, - 4), W(- 3, - 2), H(- 3, - 4) —————————————————————————(4)Rotation 180° about the origin U(- 4, - 5), Q(- 3, - 3), Y(- 1, - 3), X(1, - 5)—————————————————————————5、Calculate the volume and surface area of following compound 3D shapes.(20’)6、Consider the polynomial function,()5762234--+-=x x x x x f a. What is the degree of the function?b. What is the leading coefficient of the function?c. Evaluate f (–2) and f (3a ).(7’)7、∠1 is the complementary of ∠2,and the measure of ∠2 is twice of ∠1 ,please find the measure of ∠1.(3’)Extra Questions ：(20’)1)Problem In the diagram above, △PQR is an equilateral triangle with sides of length 2 cm. Arc PQ is an arc of a circle with centre R and radius RQ. Arc P R and arc RQ are similarly drawn with centres Q and P, respectively. Determine the total area of the shaded regions in the diagram.2)Bob and Jane hold identical decks of twelve cards, three of each colour: red, green, yellow, and blue. Bob and Jane shuffle their decks and then take turns dealing one card at a time onto a pile, with Jane going first. Find the probability that Jane deals all her red cards before Bob deals any of his red cards. Give your answer in the form of a fraction in lowest terms.1、Multiple Choice:1) B ; 2) B ; 3) D ; 4) B ; 5) D ; 6)D ; 7) C ; 8) C ; 9) D ; 10) A ; 11) D ; 12) B ; 13)D ; 14)D 。

高中国际学校入学考试真题1. 在国际学校，学生通常需要具备哪种能力来适应多元文化环境？A. 优秀的语言能力B. 深厚的文化背景知识C. 强大的数学技能D. 卓越的体育竞技能力2. 哪个学科领域通常在国际学校中受到特别重视？A. 自然科学B. 人文社会科学C. 艺术与设计D. 商业与管理3. 国际学校通常如何评估学生的学术表现？A. 仅通过考试成绩B. 通过考试成绩和平时表现C. 仅通过平时表现D. 通过家长评价4. 在国际学校，学生通常需要掌握哪种外语以适应全球化的学习环境？A. 英语B. 法语C. 西班牙语D. 德语5. 国际学校的教育模式通常与传统的国内学校有何不同？A. 更注重应试技巧B. 更注重实践和创新能力的培养C. 课程设置更加单一D. 教学方法更加保守6. 学生在国际学校中，通常如何参与社区服务活动？A. 作为强制性任务B. 通过学校组织的志愿活动C. 个人自行安排D. 不参与社区服务7. 国际学校通常如何培养学生的全球视野和跨文化交流能力？A. 仅通过课堂教学B. 通过课堂教学和实践活动相结合C. 仅通过课外活动D. 仅通过阅读国际新闻8. 在国际学校，学生通常如何准备大学申请？A. 仅依赖学校的指导B. 通过学校的指导和个人的研究相结合C. 仅依赖个人的研究D. 不需要特别准备，直接申请答案及解析请注意，以上题目仅为模拟题，不代表真实的考试内容。

实际考试中的题目和答案可能会有所不同。

建议考生参考国际学校的官方网站或招生信息以获取更准确的考试内容和要求。