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Name:___________________________________ Identityno:_________________________Date:__________________SeatNo:_________ BCAACADEMY SCHOOLOFBUILDING&DEVELOPMENT SINGAPORE MATHEMATICSSCREENINGTEST SetA 1.5HOURS Instructionstocandidates Donotturnoverthispageuntilyouaretoldtodoso. Checkthatyouhavethecorrectexampaper,numberofpagesandquestions. ThispaperconsistsofTEN(10)questions(100marks).AnswerALLquestions WriteyourName,ICNO.andSeatNo.onthiscoverpage. AllanswersaretobewritteninTHISbooklet. DoNOTtearoutanypage.ThisbookletisthepropertyofBCAAcademyandmustnotberemovedfromthetestcentre. Mobilephonesaretobeswitchedoffandelectronicequipmentsarenotallowedtobeused. Candidatesaretobringtheirownnon-programmablescientificcalculator. Unlessotherwisestated,leaveyouranswersin3significantfigures. Unlessthequestionsrequiretheanswersintermofπ,thecalculatorvalueforπ=3.142shouldbeused. Ifworkingisneededforanyquestion,itmustbeshownwiththeanswer.Omissionofessentialworkingwillresultinlossofmarks. ForOfficialUse:TestCentre:TestDate:Marks(/100):Marker:Checker: Simplifythefollowingexpressionsusingfractionsonly.Showyourworkingclearly. (a) (5marks) (b) (12.96) (5marks) (a) = (b) (12.96)= (a) Givenif27=81and3=27,find9. (5marks) (b) 2.1x1032z2-36.5x103z-1=2.46x10-5,findz. (5marks) 9=6561 z= (a)Thefollowingfigureshowsaright-angledtriangleanditsdimensions.Findx. (4marks) (x+3)cm (3x-2)cm (2x-1)cm x+32+2x-12=3x-22 X= 3. (b) Apencilcasecontains2green,6redand12orangepens.Apenispickedoutatrandomandreplaced.Asecondpenisthenpickedoutatrandomandnotreplaced.Athirdpenisfinallypickedoutatrandom.Findtheprobabilitythatallthreepenspickedareofdifferentcolours. (6marks) P= North (a) Thediagramshowsfourpoints,A,B,C,D,onlevelground.ItisgiventhatDisdueNorthofC,ABC=52°,ACD=120°andACB=90°. D 120 C A 52 B Find: (i) BCD,and (ii) BearingofBfromA (5marks) (i)BCD=150 (ii)eastbynorth18 4 (b) Giventha

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