Top 10k strings from Mathematics - Examination Practice & Tests O Level (19xx)(Sphere Software)(Side A)[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 ;"Programme Content" 4 ;"Please leave tape running" 4 ;"MATHEMATICS EXAMINATION PRACTICE"; 4 ;"AND TESTS": 4 CELTIC REVISION SOFTWARE" 3 f$="Cancel": 3 M.G. Fincher 2 M. G. Fincher 2 ;"4m(3m-2) - 4m(2m-3)" 2 "When simplified" 1 z;"Money is invested when it isused to buy shares in a businessor loaned or put in a specialbank account. "; 1 z;" is the"; 1 z;" is the moneypaid for goods, and the "; 1 z;" is the money obtainedwhen the goods are sold. If theselling price is greater than the cost price a profit is made.If the selling price is less than the cost price, a loss is made. The "; 1 z;" and is the money obtained by investing `100 for 1 year. An interest rate of 15%means that `100 invested for 1 year earns `15 and becomes `115 The interest for 2 years would be `30." 1 z;" is always calculated on the cost price." 1 y;"x2x7x11" 1 y;"x2x2x7" 1 y;" c) 1 y;" 96" 1 y;" 49" 1 x;"OPERATING INSTRUCTIONS": 1 x;"OPERATING INSTRUCTIONS CONTINUED": 1 x2400 = `300 ]"; 1 x2400 = `1200"; 1 section 4 1 section 3 1 section 2 q 1 section 1 1 s$="-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 Created with Ramsoft MakeTZX 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 )","4(p-q)","2(q-p)","3(q-p)","4(q-p)","b",4060 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)