Top 10k strings from Mathematics - Examination Practice & Tests O Level (19xx)(Sphere Software)(Side A).tzx in <root> / bin / z80 / software / Sinclair Spectrum Collection TOSEC.exe / Sinclair ZX Spectrum - Utilities & Educational / Sinclair ZX Spectrum - Utilities & Educational - [TZX] (TOSEC-v2007-01-01) /

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   9 ;"                                "
   8 y;" for the next question "
   8 x;"SPACE";
   8 x;"ENTER";
   5 y;" to rerun thisprogramme"
   5 y;" to goto BASIC"
   5 y;" to auto-load programme ";
   5 x;"Undefined key please re-select"
   5 x;"Press y to return to BASIC"''"Press any other key to abort"
   5 x;"Press r then ENTER";
   5 x;"Press n then ENTER";
   5 x;"Press b then ENTER";
   5 x;" Press any key to continue ";
   5 k$=k$+i$(n)
   5 f$="End of "+h$:
   5 f$=" STOP THE TAPE ":
   5 f$=" START THE TAPE ":
   5 UDG       
   5 ;"THIS PROGRAMME"
   5 ;"RETURNING TO BASIC DESTROYS";
   5  STOP THE TAPE v
   4 y;" to rerun this question"
   4 y;" please try again "
   4 y;" for answer explanation"
   4 y;" Please try again"
   4 y;"       "
   4 x;"Wrong-Correct answer is ";w$;" ";:
   4 x;"Undefined key?";
   4 x;"Undefined Key ?";
   4 x;"Please select your answer";
   4 x;"Answer explanation follows";:
   4 ques,a$,b$,c$,d$,e$,w$,s
   4 f$="CORRECT":
   4 e;"e  ";e$
   4 d;"d  ";d$
   4 c;"c  ";c$
   4 b;"b  ";b$
   4 a;"a  ";a$
   4 M.G. Fincher
   4 ;"Programme Content"
   4 ;"Please leave tape running"
   4 ;"MATHEMATICS EXAMINATION PRACTICE";
   4 ;"AND TESTS":
   4  CELTIC REVISION SOFTWARE"
   3 f$="Cancel":
   2 M. G. Fincher
   2 ;"4m(3m-2) - 4m(2m-3)"
   2 "When simplified"
   1 z;"Money  is  invested  when  it isused to buy shares in a businessor loaned or  put  in a  specialbank account. ";
   1 z;" is the";
   1 z;" is the moneypaid for goods, and the ";
   1 z;" is the money obtainedwhen the goods are sold.  If theselling  price  is greater than the cost price a profit is made.If  the  selling  price is less than the cost price,  a loss is made. The  ";
   1 z;" and is the money  obtained by investing `100  for 1 year.  An interest rate of 15%means that `100 invested for 1  year earns `15 and becomes `115 The interest for 2 years would  be `30."
   1 z;"  is  always calculated on the cost   price."
   1 y;"x2x7x11"
   1 y;"x2x2x7"
   1 y;"        c)  
   1 y;"            96"
   1 y;"            49"
   1 x;"OPERATING INSTRUCTIONS":
   1 x;"OPERATING INSTRUCTIONS CONTINUED":
   1 x2400 = `300 ]";
   1 x2400 = `1200";
   1 section 4 
   1 section 3 
   1 section 2 q
   1 section 1 
   1 s$="-9pq":
   1 s$="-6pq":
   1 r$="+3pq":
   1 r$="+2pq":
   1 f$="Try the factors of 6 as 3x2 and -3 as-3x1":
   1 f$="Try the factors of 6 as 2x3 and -3 as-3x1":
   1 f$="This can be checked by changing to denary numbers.":
   1 f$="Therefore the answer is":
   1 f$="Simplify":
   1 f$="Simplify numerator":
   1 f$="Simplify numerator bracket, formmultiply bracket in denominator":
   1 f$="Simplify numerator              Cancel in denominator":
   1 f$="Select and apply the appropriateformula":
   1 f$="Progressively  divide  the  baseinto the number":
   1 f$="Obtain the  value of one eighth of the total no. of students":
   1 f$="Obtain all possible factors of  6 and -3.":
   1 f$="Make  vulgar  fractions  in     multiply form":
   1 f$="INSTRUCTIONS":
   1 f$="Form vulgar  fractions  in  the denominator.":
   1 f$="Form  vulgar  fractions  in the numerator, simplify denominator":
   1 f$="Form  multiply  and cancel  in  numerator,simplify denominator":
   1 f$="Convert each binary  number  to its decimal equivalent":
   1 f$="Convert denary 35 to binary":
   1 f$="Check":
   1 f$="Calculate the journey times":
   1 f$="Calculate  the  value of the    constant k":
   1 f$="Apply the formula"
   1 f$="Add brackets":
   1 f$=" MATHEMATICS "
   1 e;"Subtract"
   1 directions&
   1 d;"d  2.46x10
   1 d;"          
   1 c;"Divide"
   1 b;"Multiply"
   1 b;"    6";
   1 b;"    3 "
   1 b;"    14"
   1 b;"    1";
   1 a;"Brackets"
   1 Original Release
   1 Mathematics - Side A
   1 For Gary Poole0$Examination Practice & Tests O Level
   1 Educational
   1 E.J. Perkins, 
   1 ;"the right of  the";
   1 ;"the answer."
   1 ;"selling price (SP)";
   1 ;"rate(R)";
   1 ;"rate per cent";
   1 ;"profit  percent";
   1 ;"please leave tape running"
   1 ;"enter two 0's to";
   1 ;"decimal point in";
   1 ;"cost price (CP)";
   1 ;"carry   1111":
   1 ;"c)  3p + 6"
   1 ;"Y receives `
   1 ;"When w=500g,l=5cm. Therefore:":
   1 ;"Variation"
   1 ;"Total time"
   1 ;"Total distance";
   1 ;"Therefore answer is:":
   1 ;"Sum of the marks";
   1 ;"Standard Form";
   1 ;"Simplify the bracket"
   1 ;"Simplify and remove bracket"
   1 ;"Simple Interest";
   1 ;"Second part of journey"'"Distance travelled = 60km"'"Time to travel 60km at 20km/h":
   1 ;"SPHERE SOFTWARE";
   1 ;"SP - CP"
   1 ;"Ratio and Proportion";
   1 ;"Publishers of":
   1 ;"Profit = 
   1 ;"Percentages";
   1 ;"Number of marks"
   1 ;"Number Bases":
   1 ;"Nothing to multiply"
   1 ;"Nothing to add"
   1 ;"No. of students = 32 
   1 ;"No. of boys = 
   1 ;"MATHEMATICS EXAMINATION PRACTICE"
   1 ;"Lowest Common Multiple(LCM)";
   1 ;"LCM = ";
   1 ;"It is necessary to";
   1 ;"Insert Brackets"
   1 ;"In the denary system, the place values are   
   1 ;"In base 10:     
   1 ;"INSTRUCTIONS CONTINUED"
   1 ;"Highest Common Factor(HCF)";
   1 ;"HCF = ";
   1 ;"Fractions";
   1 ;"Form vulgar fractions"
   1 ;"Form intermediate step"
   1 ;"Factorisation"
   1 ;"EXAMINATION PRACTICE";
   1 ;"Cost Price";
   1 ;"Convert bracket into multiply   form"
   1 ;"CP - SP"
   1 ;"CP - 1320"
   1 ;"CELTIC REVISION AIDS"
   1 ;"Averages";
   1 ;"Average speed = 
   1 ;"Average mark = 
   1 ;"Average = 
   1 ;"AND TESTS";
   1 ;"AND TESTS"
   1 ;"A Software product from the":
   1 ;"= 45p:180p"
   1 ;"= 4(p-q)"
   1 ;"= 3(p-q) + (p-q)"
   1 ;"= 3(p+2) = 3p + 6"
   1 ;"= (3+1)(p-q)"
   1 ;"7   7 ";
   1 ;"550 x 15 x 6";,"  S.I. = ` 
   1 ;"42)8.4     Answer = 0.2";
   1 ;"3p - 6"'"e)  
   1 ;"3(p-q) -(q-p)"
   1 ;"3(p-q) - (q-p)"''"are"
   1 ;"2.5 x 169,820,000";
   1 ;"2    4    4"
   1 ;"112 = ";
   1 ;"110"'"Average speed  =  
   1 ;"10111 = 16 + 0 + 4 + 2 + 1 = 23"
   1 ;"1001  +";
   1 ;"100011";
   1 ;"1   96     ";
   1 ;"1    1    3"
   1 ;"1     1";
   1 ;"1      6"
   1 ;"0.0084";
   1 ;"0.00468":
   1 ;"-the principal(P)";
   1 ;"-3x1, -1x3"
   1 ;"(p-2)(p+1)(3p-2)2"
   1 ;"(p q)(p q)"
   1 ;"(3p-2)(p+1)(p-2)(p+2)6"
   1 ;"(3p-2)(p+1)   6(p-2)(p+2)"'"  = 
   1 ;"( p   q)( p   q)"
   1 ;" 7-4  ";
   1 ;" 3    5    2    4"
   1 ;" 2    1    1    1"
   1 ;" 14    "
   1 ;"  Programme Index and Content"
   1 ;"  At the beginning of SIDE TWO":
   1 ;"  7      "
   1 ;"  5   ";
   1 ;"  2      ";
   1 ;"   1-2 "
   1 ;"    5    4   "
   1 ;"    4  "
   1 ;"    2    3   ";
   1 ;"       2 + 2
   1 ;"        "
   1 ;"            5      "
   1 ;"            4      ";
   1 17 R1  Therefore:"
   1 1034","b",3840
   1 -16m","12m
   1 ,this becomestwo numbers and a  nought.  The number 8 is dropped, but becausethis is greater than 5 the finalanswer is 350  (and not 340)"
   1 ,"`330","`495","`825","`880","`1045","b",3550
   1 ,"`3","`150","`300","`900","`1500","d",4060
   1 ,"`212,275","`424,550","`4,245,500","`6,792,800","`8,491,000","c",4030
   1 ,"`162","`1320","`1478","`1500","`1584","d",3090
   1 ,"9","72","154","462","1386","e",2560
   1 ,"64%","85%","45%","66%","50%","d",2560
   1 ,"46.8","4.68","0.468","0.0468","0.00468","e",3120
   1 ,"4","3","105","7","5","a",3060
   1 ,"4  :1","1  :4","5  :0.2","2.5:1.0","1  :5","b",3560
   1 ,"348.40","348","340","341","350","e",2700
   1 ,"3134","3034","3144","1304","
   1 ,"25g","80g","100g","400g","320g","e",4560
   1 ,"22km/h","22.5km/h","45km/h","55km/h","110km/h","a",3060
   1 ,"200","20","2","0.2","0.02","d",3520
   1 ,"114","144","160","180","256","e",2930
   1 ,"101011","110011","111101","100011","101011","d",4050
   1 ,"(2p-3q)(3p+q)","(6p-3q)(p+q)","(6p+3q)(p-q)","(2p+3q)(3p-q)","(6p-q)(p+q)","a",4560
   1 ,"","","","","","d",3730
   1 ,"","","","","","c",5110
   1 ,"","","","","","b",2520
   1 ,"","","","","","b",2090
   1 ,"    5","c) 1","d) 3
   1 *Celtic Revision Software / Sphere Software
   1 )","4(p-q)","2(q-p)","3(q-p)","4(q-p)","b",4060
   1 %TZXed by Andrew Barker
   1 "there are 5 places to the right."
   1 "their sum is:"
   1 "that is    16,8,4,2,1"
   1 "i.e.-(q-p)=-q+p or p-q or +(p-q)"
   1 "directions","section 1"
   1 "`2400  is divided between three people X,Y,Z in the ratio 4:3:1.Y receives:"
   1 "[X receives `
   1 "When multiplying decimals, it isnecessary to  count  the  total number of digits (including 0's)to the  right  of the  decimal  point. In  this example,"
   1 "When l=4cm,"''
   1 "Weight varies directly as lengthsquared"
   1 "Total time     =  2+3  = 5h"
   1 "Total distance = 50+60 = 110km"
   1 "To change 35 to binary,  divide successively by 2."
   1 "Therefore:":
   1 "Therefore the signs in the two  brackets are different. i.e. oneis  negative  and  the  other   positive. (If the second sign inthe expression is positive then the signs in  the  two  bracketsare  both  negative  or  both   positive.)"
   1 "Therefore the rates contributionto the hospital is:":
   1 "Then  like  terms are collected together."
   1 "The weight of a square of fixed thickness varies directly as thesquare of its length."
   1 "The second bracket is multipliedby -4m.":
   1 "The second  sign  in the  given expression  is  negative." 
   1 "The rateable value of a city is `169,820,000."'"A rate of 2.5 pence in the `1 isneeded to pay for a hospital."'"The cost of the hospital is:"
   1 "The order of working out is:"
   1 "The negative sign in between thetwo brackets changes the sign inthe second bracket,":
   1 "The highest common factor(HCF)  of  a  set  of  numbers  is the biggest number which will divideexactly into each of the given  numbers."
   1 "The following numbers are to thebase 2,"''"    10111      1001      11"
   1 "The first bracket is multiplied by 4m.":
   1 "The factors of"'';
   1 "The factors of 6 are:"'" 6x1, (-6)x(-1), 2x3, (-2)x(-3)"''"The factors of -3 are:";
   1 "The factors of 6 and -3 must be selected so that -7 is obtained in  the  middle  of  the  given expression."
   1 "The factors of "''
   1 "The expression is 6p
   1 "The different combinations have to be tried out"'';
   1 "The decimal point is  moved on  the top and bottom giving:"
   1 "The decimal point  is moved  so that the divisor becomes a wholenumber. In this example:"
   1 "The addition is:":
   1 "The Lowest Common Multiple,LCM, of two  or more  numbers is the smallest number into which each of  the  numbers  will  divide  exactly.":
   1 "The LCM of 18,63 and 99 is:"
   1 "The HCF of 24,60 and 112 is"
   1 "The  simple  interest  on  `550 invested at 15% for 6 years is:"
   1 "The  number  of  students  is   divided  into  8  parts.  5  of these  parts  are  girls and theremaining 3 parts are boys. Thus"
   1 "The  money  is divided  into  8 parts (the sum of 4+3+1) and Y  receives 3 of these parts."
   1 "The  mathematics  revision  and test tape is  arranged  as eightseparately  loadable programmes.The first of  these  programmes (which you  are  running  now)  gives all the  details  relevantto the tape." 
   1 "The  marks  are 64%,80%,75%,45%,50%,56%,85% and 73%."''"There are 8 marks and they add  up to 528%."
   1 "The  answer  cannot contain  a  number greater than or equal to the  base. In this  example,the answer can contain 0,1,2,3,or4."
   1 "Text by E.J. Perkins,B.Sc.(Hons)M.Ed.(Wales),F.B.I.M."
   1 "Tests    -20 sample questions"
   1 "T = Number of years money is        invested (6 years)"
   1 "Simple  interest  (S.I.)  is    calculated using the equation:"
   1 "Side two  contains  ""section 5"",""section 6"",  ""section 7""  and  ""tests""."
   1 "Selling Price";
   1 "Section 7-Geometry,Trigonometry,Sets"
   1 "Section 6-Graphs"
   1 "Section 5-Equations"
   1 "Section 4-Factorisation,LCM,HCF"
   1 "Section 4","section 5",6
   1 "Section 3-Averages, Speed, Ratioand Proportion, Variation."
   1 "Section 3","section 4",5
   1 "Section 2-Simple Interest,Rates Percentages,Cost & Selling Price"
   1 "Section 2","section 3",4
   1 "Section 1-Fractions, Standard   Form, Number Bases."
   1 "Section 1","section 2",8
   1 "Remove the brackets and simplify"''
   1 "Rates  are  levied  by  Local   Authorities.  The money is used to provide amenities (libraries,roads etc).  Rateable  value  ofproperty  (decided by the local District  Valuer)  depends  on  locality, size and use, and is  not the  same  as  its  market  value."'"The rate is  calculated  as so  much in the `1 of the  rateable value."
   1 "Rateable value of city "
   1 "Rate = 2.5 x 169,820,000 pence":
   1 "R = Rate of interest (15%)"
   1 "Programme by M.G. Fincher, B.Sc (Hons) Elec. Eng."
   1 "Percentage  is  a  fraction  in which the denominator is 100":
   1 "P = Principal (`550)"
   1 "On   side   one   of  the   tapethe   programmes   ""directions"" , ""section 1"" , ""section 2"" ,   ""section 3"" and ""section 4"" are recorded."
   1 "Numerator and denominator are   simplified in successive steps. In the denominator it is clearerif brackets are added as part ofthe working out.":
   1 "Interest is the profit made by  investing money";
   1 "In this example, a loss is made,and the second equation is used."
   1 "In this  example  the  division must be worked  out first. It ismade easier by  putting bracketsaround the part to be worked outfirst. The whole  sum  must  be kept together.":
   1 "In the binary system, the place values are  
   1 "In base 5:     
   1 "In a school, five-eighths of thestudents are girls and there are96 boys.  The  total  number of students in the school is:"
   1 "If the square weighs 500g when  its length is 5cm, the weight ofa square of length 4cm is"
   1 "If the selected answer is wrong the sample  answer  is displayedautomatically."
   1 "Following the  selection of the correct answer you can  move to the next  question by  pressing SPACE, or run the sample answer by pressing ENTER."
   1 "First part of journey"'"Distance travelled =50km"'"Time to travel 50km at 25km/h":
   1 "Factorize each expression first:":
   1 "Factorize and hence simplify":
   1 "Errors can be erased by pressingDELETE (caps shift and 0)":
   1 "Each number is expressed in its prime factors."
   1 "Each  question  contains  five  possible answers. To select the correct  answer  press  a,b,c,d or e(as appropriate) then ENTER."
   1 "Each  programme  can be  loaded independently in the normal  wayby loading the  programme names given above."
   1 "Cost price = `1500" 
   1 "Cost of red pen:Cost of blue pen "
   1 "At the end  of  each  programme press  ""n""  to  load  the  next programme, press  ""r""  to rerun the same programme or press ""b"" to goto BASIC."
   1 "At all points in the programmes where a user response is needed you will be  prompted  with the appropriate options. Therefore  it is NOT necessary to memorise these instructions."
   1 "Any number  can be written  as avalue  between  one  and  ten   multiplied by a power of 10. In this example, the number betweenone and ten is 2.46, therefore:"
   1 "An index of the  programmes  is given on the next display page. Operating  instructions  follow the programme index."
   1 "After a sample  answer  display press  SPACE  for  the  next    question or  ENTER to rerun the same question."
   1 "Additionally at the end of each programme,  the  next programme on the index can   be   loaded  automatically if required."
   1 "A student buys a red pen for 45pand a blue pen for `1.80. The   ratio,"''"cost of red pen:cost of blue pen"''"is:"
   1 "A student  obtains  examination marks of 64%, 80%, 75%, 45%, 50%56%, 85%, and 73%."''"The average mark is:"
   1 "A car travels 50km at 25km/h andthen travels 60km at 20km/h. Theaverage  speed  for  the  whole journey is:"
   1 "A  ratio  compares  two or more quantities.  The quantities mustbe in the same units so that theratio does not have any units."
   1 "A  man  sells  a  car  for `1320making a loss of 12%.   The man bought the car for"
   1 "40%  of  871, to 2 significant  figures is:"
   1 "2460000 in standard form is:":
   1 "10111+1001+11 = 23+9+3 = 35
   1 "10111 + 1001 + 11 = 23 + 9 + 3":
   1 ",,"    14"
   1 ","    36           11"
   1 "(SP=`1320, loss=12%)"
   1 "'"e  24.6x10
   1 "'"c  246x10
   1 "'"b  20x10
   1 "'"a  2x10
   1 "'"Incorrect combination"
   1 "'"Correct combination"
   1 "'"    p + 1"
   1 "'"     (p-2)(p+1)     2(3p-2)"
   1 "'"         
   1 "'"        
   1 " Z receives `
   1 " Cost of red pen  = 45p"
   1 " Cost of blue pen = `1.80 = 180p"
   1 " 40% of 871 = 
   1 " 1001 = 8 + 0 + 0 + 1 = 9"
   1 "  A number  to  two significant figures means that 2 digits are needed together with any noughtsnecessary to show  the  positionof the decimal point. In  348.4 three places are occupied beforethe  decimal  point.   To   two significant figures
   1 "   No. of girls= 
   1 "   11 = 2 + 1 = 3"
   1 "   0.0084 
   1 "    7            2","d)  
   1 "    6        ";
   1 "    47       ";
   1 "    2460000 = 2.46 x 10
   1 "    1"'"e) 2
   1 "    -88xCP = -132000"
   1 "     = `169,820,000"
   1 "     = ` 4,245,500"
   1 "     3    5    2    4"
   1 "     2    1    1    1"
   1 "     12xCP = 100xCP - 1320x100"
   1 "     12xCP - 100xCP = -132000" 
   1 "      Loss = 
   1 "      5   
   1 "      394 = 3x10
   1 "      2   
   1 "      0 R1  the answer."
   1 "       2    4    4"
   1 "       1    1    3"
   1 "          = 300 + 90 + 4"
   1 "                                "
   1 "          
   1  x 871 = 348.4"
   1  to the base 5 is:"
   1  of total"
   1  of total = 96"
   1  CELTIC REVISION SOFTWARE "
   1  = 375 + 0 + 15 + 4" 
   1  78 Remainder 4":
   1  15 Remainder 3  i.e.":
   1  1 R0  which checks with"
   1  0.13 is:":
   1  0.042 is":
   1  -p -2     6p -4"
   1  -20m","24m
   1  +p -2   6p
   1  +4m","e",3560
   1  +3p -6"'"a)  
   1  + 9x10 + 4x1":
   1  + 0 + 3x5 + 4x1        
   1   = 22km/h";
   1   3 Remainder 0  394
   1    the letters can be placed immediately as:";
   1    b)  3"'"       p + 1"
   1     - Remainder 3     
   1        e)