Px=R?"x!6YD:\x`           8 8     8?88;?88 8            @     <<|<|~~B~||<6?   8 8     8?88;?88 8   ?   B    H  @BBBB@(x888@b@BB8<8h@6           8 8     888;888     !       B    H  <BBBB|D D@@|R|BB DD T|           8?;;8   ??>;?8?  &0    2   0"   ! (  B|~|@*D x88@J@|| DD ??;;8   ;8     0      ? <<@B@~:@     mv      ꔫ5)Wh    ? $I)($   BI"IDB!8    |0!H  >  ?`DB!B" s    / $P    ? "@"   0!g滂      (U      !H%(I/     s!$I$A    A0B HB  '0aB!B!`@  ?  x    ""   0#۵_   ? *IUUT   'ؑ"))%D     bDI"!Fc#  ?aA@!a 8 "B!BD `A  @  ? $   " !"(   ('W[       |ԒUYI+>      ;"DIII"D     ! D"H!   1 AHAa    BB!BB0`     $   " ~~!(  ??jV?    i"UUD     .D̈RQIJ3"v   ?b1B "D"DBF?  c@""!DDA c  0 `@@!!!! x  8  $   B  H   !/-մ      E*TO     RIJI     $$H!C1   a B"!DB@! p``"!!D!  T  $  ?    6l_ `     EET*H   ?"II%DHK  # AD"H 0   a ADD"!D"" @a0 ?B!!B  8888 8p88?8888;88?          @  8 88 8p88?8888;88?          ??>8???8         |pD (>?>;;;?;?8??88??? BDD ~BDBx@  DT ???        ????@ 8888 888888888;888          >::>99>>99;; >>::88::88>>99;;99;;99;;99;;>>::88::88>>99;;9>;;99;;9>;;>55,55,",55,"@# # <@Tx\\\|]\xxt]Zyxxx\X![! @P!!0 W K SR PA.Cowley Apr.1983 "23613"+"256"*"23614","0":"23613"+"1"+"256"*"23614","0":ٰ"9":"1":ڰ"1":"0","0";" STOP TAPE & press ENTER ":"0":"62" 6"98","126":"60","-60":"98","66":"60","60":30,-30,-:-30,-30,-:-30,-30,-:-30,30,-:-30,30,-:30,30,-:30,30,-:30,-30,-: :,"9","14";"ROSE";"10","12";"SOFTWARE" <ٰ"9":"72","24":"103","0":"72","15":"103","0":"0","11";" Hi there ";"19","9";" Geometry 6 ":"9000" >1ind="0":o$=" " ? y="0":h="0":u="0":v="0" F"2":ڰ"2"::۰"1":"0","3";"TYPICAL 'O' LEVEL QUESTIONS":۰"0":"9","0";"Don't forget there may be more than one HELP per question":"9000" d5z="4":w$="":f$="(omit 'cm')":"6":ڰ"6":ٰ"9": g"186","145":"-4","4":"4","-4":"-4","-4":"186","96":"-4","4":"4","-4":"-4","-4":"220","145":"-90","-49":"122","0":"-32","49":"-66","0":"-24","-49" jް"1":"7","22";"?";"4","19";"z";"4","27";"z";"3","18";"P";"3","28";"Q";"10","31";"R";"10","16";"S":ް"0" mmk=(*3)+"2":j=(*3)+"5":p$=(k*j):"2","22";k^2;"cm";"11","22";j^2;"cm" p"2","0";"PQ is parallel";"3","0";"to SR";"5","0";"PQ=";k^2;"cm";"6","0";"SR=";j^2;"cm";"8","0";"SPQ=SQR";"10","0";" So SQ = ? " s_"8100":w$="y"l=y+(y=0)̰"5":"7010":"797"+3*l:"9000":l:"8161":"120" v7h="1""7010":797+3*y:"9000":"115" 1w$="":z="3":f$="(omit sign)":"0":ڰ"0": N152,120x,67C*.73333:208,114r,524*.73333 S"183","85":"55","49":"5","-22":"-84","54":"26","-79":"-25","-23" }"185","87":"7","60":"0","19";"R";"2","24";"P";"4","30";"A";"8","31";"B";"12","23";"Q";"13","19";"T" \k=((*6)+19)*5:"11","17";k;"";"5","30";"?":p$=(180-k) {"0","0";"AQT is a";"2","0";"tangent to";"4","0";"circle RPQ";"6","0";"RQT=";k;"";"8","0";"So QAB=?" _"8100":w$="y"l=y+(y=0)̰"4":"7010":"821"+3*l:"9000":l:"8161":"180" 7h="1""7010":8215+3*y:"9000":"172" J"5":ڰ"5":ٰ"9"::z="2":n="0":"6","21";"?";"12","0";"QOS=?" Ak=((*3)+1)*20:p$=(180-k):700 kz="1":n="10":p$=(90Z-k/2):"12","0";"ACB=?";"10","14";"^";"11","14";"?":"700" ind="1":z="2":n="20":p$=((180-(90Z-k/2))/2):"12","0";"CQR=?";"10","19";"^";"11","19";"?":"700" "100" Y::"54":"0","14";ڰ"2";" END ":ٰ"9":"9000":"58" \w$="":162,128,30:"248","97":"-136","0":"42","78":"94","-78" D"162","128":"21","23":"-47","-9":"26","-44":"0","30" Ťް"1":"11","28";k;"";"10","29";"^";"5","19";"O";"0","18";"A";"10","31";"B";"10","13";"C";"3","16";"R";"2","23";"S";"10","20";"Q":ް"0" Y"116","102":4,-4,-/2:"142","142":-1,-6,-/2 ˙"0","0";"O is the centre":"2","0";"of the";"4","0";"inscribed";"6","0";"circle QRS";"8","0";"ABC=";k;" and";"10","0";"ACB=QRS" n"8100":w$="y"l=y+(y=0)z+1:"7010":837E+n+3*l:"9000":l:"8161":230+n 9h="1""7010":837E+n+3*y:"9000":"721"   cް"1":"15","0";" PQS=QSR ";:" (alternate angles)";"4","24";"u";"9","18";"u":ް"0": #P"15","3";"Triangles PQS and QSR are";"16","4";"similar (equal angles)": &K"15","5";"Compare the sides of the";"16","8";"similar triangles.": )"13","0";"PQ (from PQS) QS (from QSR)";"14","0";"--";"14","15";"= --";"15","0";"QS";"15","17";"SR";"17","7";" So  ";"17","13"-(k=4);k^2;" QS";"18","12";"-- = --";"19","12";"QS ";j^2: ,z"13","0";o$;"15","0";"So QS = (";k^2;" x ";j^2;")";"17","3";"QS = ";k;" x ";j;" = ";k*j;"cm": 8H"16","11";"RPQ=";k;"";"18","2";"(alternate segment theorem)": ;3"16","6";"QPB=180-";k;"=";180-k;"": >e"16","11";"QPB=QAB";"18","4";"(angles in same segment";"19","6";"subtended by arc QB)": A"16","9";"So";:" QAB=";180-k;"";"18","0";"NOTE that RQ is parallel to AB since RQA=QAB=";180-k;" (alt. s)": Hu"16","11";" OQB=90 ":"18","0";"Angle between tangent and radius":"163","102":"4","0":"0","-4": KQ"16","0";"The sum of the internal s of a quadrilateral = 360 (See OSBQ)": Ni"16","3";"QOS=360-OSB-SBQ-BQO";"18","0";"So QOS=360-90-";k;"-90=";180-k;"": R"15","10";"QOS=2xQRS":"17","0";" at centre & at circumference";"19","0";"and we know QOS from previous question": U"15","6";"QOS=180-";k;"=";180-k;"":"17","2";" So ":"17","6";"QRS = ";90Z-k/2;" = ACB ": \"15","12";"ACB=";90Z-k/2;"":"17","4";"(from previous question)";"10","14";"^";"11","14";90Z-k/2;"": _G"15","7";" CRQ is isosceles ":"17","8";"(tangents CR=CQ)": b^"17","7";"So":"17","10";"CRQ=CQR=";(180-(90Z-k/2))/2;"": b i="14"̰"21":i,"0";o$:i: "7010":y12 a$="RUBBISH" a$="h""8260" a$<"46"ůa$>"57""8106" ,"7010":"15","1";"Your answer: ";a$:0,60<:128+8*a$,0:0,-16:-128-8*a$,0:0,16:0,40(:111o,0:0,31:111o,0:17,0;"CORRECT ANSWER";:" ";p$:a$=p$8157 'װ".5","-10":װ"1.5","-20":v=v+"1" v"0","16":"207","0":"0","7":"207","0":"20","0";" Like to see why? ";:" y or n ":=""8143 !w$=:w$"y"w$"n"8146 """8149"  w$="y"  "8161" Fװ".2","2":װ".2","2":װ".2","4":װ".2","4":װ".5","9":u=u+"1"  "9000" sڰ"3"::"3","6";" TOTAL CORRECT : ";u;"6","6";" TOTAL INCORRECT: ";v:ind="0"ڰ"0":"9000":"8169" ]"64","48":"119","0":"64","39":"119","0":16,8;" More?  y or n " !q$=:q$"y"q$"n"8163 q$="n""345" 'y="0":h="0":w$="":ڰ"5":"5":: Dyz"8133" Gh="1":y=y+"1": #("""9000" #),"21","0";o$;"21","9";"Press any key" #*="""9002" #+"""9003" #. nyhuvzkjbnO A9QyWF (omit 'cm')P24"" 0  M]  23614>\ 0 U M2333x3x3xxxx3xM6!H3 p6MxxP=v>>BB<DHpHDB@~BfZBBBBbRJFB