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5 ","","of the new.",1 5 of the"," 100 old.","Old price = 4 hint=hint+1 4 <8<<8D @<D 4 ,"e. Solve for x:-"," 3 ;"12.3456": 3 ;"0.07654": 3 ;"0.0163": 3 ,"h. Solve for x:-"," 3 ,"d. Solve for x:-"," 3 ,"2","",11 3 "," 100",1 2 | DD <TTxD 2 y,x;a$;v$: 2 vval,g$,u$,x,y,nlsq: 2 press key when ready 2 h$+v$=g$+u$ 2 a,qi1,qi2,qi3,qi4,qi5,qi6,qi7,qi8,qi9,qi10,qi11,qi12,qi13,qi14,qi15,qi16,qi17,qi18,qi19: 2 Programmed by Tony Topliss. 2 @ D< DTT@D 2 ;r;" out of ";a: 2 ;"enter units of answer: "; 2 ;"enter answer: "; 2 ;"UNITS!": 2 ;"QUESTIONS"; 2 ;"MATHEMATICS"; 2 ;"MATHEMATICS LEARNING MODULES"; 2 ;"CORRECT";: 2 ;"0.008X1000": 2 ;" Do you wish to work through thenotes before you attempt the questions? Press Y/N. ": 2 ;" DO NOT USE A CALCULATOR": 2 ;" ": 2 ;" ": 2 999999999999999999999999999999999:888888899999999999999999989:999:8::8:88999999999999999999899999:8::8:8899999999999999999989999999999999999999999999999999999999888888888888<<<<<<<8888888888899888888888888<<<<<<<888888888889988<<<<<<<<<<<<<<<<<<<<<<<<<<<89988<<<<<<<<<<<<<<<<<<<<<<<<<<<89988<<<<<<<<<<<<<<<<<<<<<<<<<<<89988<<<<<<<<<<<<<<<<<<<<<<<<<<<899888888888888888888888888888888998888888::::::::::::::::8888888998888888::::::::::::::::8888888998888888::::::::::::::::88888889988888888888888888888888888888899888888888888888888888888888888998888888888888888888888888888889988888888888888888888888888888899888888888888888888888888888888998888888888888888888888888888889999999999999999999999999999999998888888888888888888888888888888888888888888888888888888888888888 2 ,"e. -3 -7","(3X10 ) 2 ,"d. 2 5","(3X10 ) 2 ,">2","",7 2 ,"12","",9 2 ,"0.036","",10 2 ,"-1","",3 2 , so the new"'"length was 2 ''"Then the module again." 2 "mathcode2" 2 "mathcode1" 2 "MODULESB" 2 "MODULESA" 2 " ": 2 of old length.": 2 When you see the message below,press @ to leave the module. 2 In this module you got:- answers correct without a hint. 2 If you need more help, work through the following sections in the PAN STUDY AID. 2 But,"; 2 1 mathcode2 X 1 mathcode1 X 1 b$=" ": 1 b$=" 1 `192 interest 1 `1080 interest 1 _="," 0.03",2 1 _="," 0.005",2 1 X`20=`1.20"; 1 X900cm"," 100",1 1 X700cm"," 100",1 1 X400cm"," 100",1 1 X1200cm"," 100",1 1 X100cm"," 100",1 1 Time(t hours) 1 Time t (hours) 1 Speed(v kmh 1 STANDARD FORM 1 SIMPLE INTEREST 1 SIGNIFICANT FIGURES 1 MODULESB ALMOST READY 1 MODULESB > 1 MODULESB 1 MODULESA ALMOST READY 1 MODULESA > 1 MODULESA : 1 Finding the Original Price 1 Distance(km) 1 Created with Ramsoft MakeTZX 1 B 1 A 1 >3"," 2"," x",1 1 =6"," 2 3",2 1 =6"'"we add the two equations so thatthe terms in y vanish,": 1 =2"," 4 3","Multiply both","sides by",1 1 =2"," 4 3","3(5-x)-4(x+3)=24","15-3x-4x-12=24"," x=",3 1 =2"," 4 3","3(5-x)-4(x+3)=24","","Enter next line -"," (no spaces)",1 1 =1"," 2 3"," Multiply both","sides by",1 1 =1"," 2 3"," Multiply both","sides by 6 and","simplify."," x=",3 1 =1"," 2 3"," x=",1 1 =1"," 3 4"," Multiply both","sides by",1 1 =0"," 3 5"," Multiply both","sides by",1 1 ="," 0.7",2 1 ="," 0.4",2 1 ="," 0.025",2 1 <2"," 3"," x",1 1 ;''"7. Percentages"''"8. Simple Interest"''"9. Linear Equations"''"10. Linear Inequalities"''"11. Simultaneous Equations"''"12. Variation": 1 ;''"1. Multiplication of Decimals"''"2. Division of Decimals"''"3. Standard Form"''"4. Using Standard Form"''"5. Significant Figures"''"6. Decimal Places": 1 ;"whatever POSITIVE multiplier we use.": 1 ;"we could multiply (2) by 3 and then add to (1),": 1 ;"we could have multiplied (2) by 2 and then subtracted,": 1 ;"subtracting,"; 1 ;"so that we know 1 ;"multiply by 6,"; 1 ;"multiply by 30,"; 1 ;"is `3000"' 1 ;"if it is5 or more, round the previous digit up.": 1 ;"eg. 5000000=5X10"; 1 ;"eg. 5.76 or 1.05": 1 ;"divide by 5,then, x>4": 1 ;"divide by 2,then, x>3": 1 ;"divide by -5,then, x 1 ;"divide by -3,then, x 1 ;"are conveniently written as a product of a power of 10 and a number between 1 and 10.": 1 ;"and we need to borrow"'"all that at 18% pa. for 2 years.": 1 ;"and small numbers like 0.000005"; 1 ;"and finally,check by substituting into the second equation,"; 1 ;"and 0.000005=5X10"; 1 ;"and 0.012345=": 1 ;"after the required numberof figures, if the next digit isless than 5, ignore it;": 1 ;"adding, 4x-3y=2"'"we have 10x =5"; 1 ;"`PRT=`1200X8X2"; 1 ;"`18.80"; 1 ;"^"'"NOTE! You must count this final zero but it is not usually written down.": 1 ;"Whereas,"; 1 ;"VARIATION": 1 ;"USING NUMBERS IN STANDARD FORM": 1 ;"There are 1 + 2 digits after thedecimal point in the question.": 1 ;"The price of the car"; 1 ;"Standard Form p20.": 1 ;"Standard Form Exercise 1c, p21.": 1 ;"So,the old price is 1 ;"So, there must be 3 digits afterthe decimal point in the answer.": 1 ;"So, the old price is 1 ;"Significant figures p27.": 1 ;"STANDARD FORM": 1 ;"SIMULTANEOUS EQUATIONS": 1 ;"SIMPLE INTEREST": 1 ;"SIGNIFICANT FIGURES": 1 ;"SALE"'" Price Reduction"''" 6% off!!!"''" Radio-was `20"''" Now 1 ;"Percentages pp33,34, Ex 3b" 1 ;"PERCENTAGES": 1 ;"P28 and exercise 2b, qu.2.": 1 ;"New price=94%"; 1 ;"Multiply by 5,say"; 1 ;"Multiply by 1 ;"Module ";qu+6 1 ;"Module ";qu 1 ;"MULTIPLICATION OF DECIMALS": 1 ;"LINEAR INEQUALITIES": 1 ;"LINEAR EQUATIONS": 1 ;"Inequalities p47."'"Remember that > becomes < if youmultiply or divide by a negativenumber.": 1 ;"If a sum of money,the principal,say `P,is lent at R% interest a year (per annum,pa.),"'" 1 ;"If a price is 1 ;"If x>3, then 2x>6"; 1 ;"Examples 1.9(d),(e),page 16.": 1 ;"Examples 1.9(a),(b),(c),page 16.": 1 ;"DIVISION OF DECIMALS": 1 ;"DECIMAL PLACES": 1 ;"But, 54 is not between 1 and 10. So,": 1 ;"But 0.4 is not between 1 and 10. So,": 1 ;"All numbers are referred to the decimal point.": 1 ;"=5.4X10 X10 =";" 1 ;"=3.6X10"; 1 ;"=1.4X10"; 1 ;"=(4X10 )X10 =4X10 =";" 1 ;"6x+3y=3 (2)X3": 1 ;"6.75X0.001": 1 ;"5x>15, etc,"; 1 ;"5x =10": 1 ;"5X4>5X3"; 1 ;"5760.0X10": 1 ;"576.0X100": 1 ;"57.6X1000": 1 ;"54X10 =54X10"; 1 ;"5.76X10000": 1 ;"4x-3y=2 (1)"; 1 ;"4x-3y=2 (1)"'"we have 5y=0"; 1 ;"4x+2y=2 (2)X2": 1 ;"3x-4x-4 =5"; 1 ;"3x+y=4": 1 ;"35% of `50=_ 1 ;"2x-y=2X2-(-2)=6": 1 ;"2x-3x+6 =5"; 1 ;"2x+ y=1 (2)": 1 ;"235.0X10": 1 ;"23.5 X10"; 1 ;"20% of `50=_ 1 ;"100"'"the old price.": 1 ;"10 100": 1 ;"0.7X0.05=": 1 ;"0.675X0.01": 1 ;"0.4X0.06=": 1 ;"0.4X0.05=": 1 ;"0.4X0.03=": 1 ;"0.381 X10"; 1 ;"0.07X0.005=": 1 ;"0.0675X0.1": 1 ;"0.05X100": 1 ;"0.0381": 1 ;"0.012345": 1 ;"0.00675": 1 ;"-5x>30": 1 ;"(five millionths)"; 1 ;"(five million"; 1 ;"(6X10 )X(9X10 )="; 1 ;"(2X10 )X(3X10 )=";" 1 ;" choosing 1000 so that the denominator becomes a whole number.": 1 ;" When you have removed any fractions and brackets,gather together like terms and solve the equation.": 1 ;" We then substitute x=2 into thefirst equation,"; 1 ;" We shall have to pay"'" `PRT=`3000X18X2"; 1 ;" Walking at a"'"CONSTANT speed,"'"our distance,"'"s km is propor-"'"tional to the"'"time, t,"'" 1 ;" To write a number in 1 ;" To solve these simultaneous equations,"; 1 ;" To solve inequalities, we may need to divide both sides by a positive or a negative number.": 1 ;" To answer the questions, enter, 1 ;" This will be displayed as 5X10"; 1 ;" This time the decimal point moved 3 places to the RIGHT." 1 ;" This is 1 ;" There is not much difference between a bill of `12345.67 for a new car and `12345.70.": 1 ;" The surface"'"AREA,A, of a"'"spherical ball"'"is proportional"'"to the"'"SQUARE of the"'"diameter,d,"'" 1 ;" The difference may be describedas NOT SIGNIFICANT.": 1 ;" Start counting at the decimal point and examine the digit in the next position to see if it is 5 or more.": 1 ;" So:- 10% of `50=_ 1 ;" So,new price=`20+`1.20= 1 ;" So, to 3 significant figures (3sf); 12345=": 1 ;" Simple Interest, Ex 3c, p36 Q 1-7": 1 ;" Similarly,in b. the length was"'"increased by 1 ;" Notice, the decimal point moved4 places to the LEFT." 1 ;" Large numbers like 5000000"; 1 ;" In question a. the length was"'"stretched by 1 ;" If we have a"'"fixed distance,"'"s km,to walk,"'"the faster we"'"walk the sooner"'"we shall reach"'"our"'"destination."'"The time,t hours"'"is INVERSELY"'"proportional"'"to the speed,"'"v kmh 1 ;" If we do not have terms with the same coefficients, we make them the same by multiplying oneor both equations by suitable numbers,"; 1 ;" If there is a minus sign in front of a bracket, that minus sign applies to every term in the bracket,": 1 ;" If there are fractions in a linear equation, multiply both sides of the equation by the lcmof the denominators of these fractions.": 1 ;" If the price of an item was `20and is increased by 6%,"'"the increase is __ 1 ;" Having found one unknown, we usually find the other one bysubstitution.": 1 ;" For example,suppose that we areborrowing money to buy a car."; 1 ;" Exercise 6d, p59." 1 ;" Exercise 5b, p47,": 1 ;" Examples 5.6 and 5.7 on p48 andp49 then Exercise 5d.": 1 ;" But,if we have saved `1800,so that we only need to borrow `1200 and if we can find someoneto lend at 8% pa. for 2 years,weshall only have to pay:-"; 1 ;" But, when we multiply by a NEGATIVE number,"'"if x>3, then -2x 1 ;" 0.8X10 ": 1 ;" 0.5X10 ": 1 ;" 0.08X100 ": 1 ;" Percentages are fractions"'"'out of one hundred'.": 1 ;" 8 ": 1 ;" 5 ": 1 99"," =0.0 to 1 dp" 1 8=0.375","Is your decimal","point in the","correct place?",1 1 4x<4"," x",1 1 4=0.75 Is your","decimal point in","the correct","place?",1 1 3x>9"," x","Enter the answer"," (no spaces)",1 1 3x>6"," x",1 1 3x<-6"," x",1 1 2x<-8"," x",1 1 21"," =5.4 to 1 dp" 1 1"," =5.43 to 2 dp" 1 . Under some conditions,the distance,s metres,required to stop a car travelling at x metres per second is proportional to the 1 . The volumes,V cubic metres,ofliquid in glasses of similar shape are proportional to the 1 . The time,T years,in which a sum of money invested at simple interest doubles itself is 1 . The height,h metres,of a balloonist is proportional to the 1 . The cost,`C,of carpeting a square room is proportional to the 1 -15, etc.": 1 ,the new price is 10 1 ,"o.","0.010203"," = to 2sf",1 1 ,"n.","900705"," = to 3sf",1 1 ,"m.","0.020406"," = to 1sf",1 1 ,"lcm of 3 and 5"," =15" 1 ,"lcm of 3 and 4","=12" 1 ,"lcm of 3 and 4"," =12" 1 ,"lcm of 2,4 and 5"," =20" 1 ,"lcm of 2,3 and 5"," =30" 1 ,"lcm of 2 and 3"," =6" 1 ,"l.","0.020406"," = to 2sf",1 1 ,"k.","0.020406"," = to 3sf",1 1 ,"j.","0.020406"," = to 4sf",1 1 ,"j."," 0.0499="," to 1 dp",1 1 ,"j. After a 125%","increase,the new","price= 1 ,"j. 8-3x<2"," -3x",1 1 ,"j. 8-3x<2"," 1 ,"i.","10305"," = to 2sf",1 1 ,"i."," 5.4321="," to 1 dp",1 1 ,"i. After a 25%","reduction, new","price=_ 1 ,"i. 2-3x>8"," -3x",1 1 ,"i. 2-3x>8"," 1 ,"h.","10305"," = to 3sf",1 1 ,"h."," 5.4321="," to 2 dp",1 1 ,"h. After a 10%","reduction, new","price=_ 1 ,"h. 3-4x<7"," -4x",1 1 ,"h. 3-4x<7"," 1 ,"g.","10305"," = to 4sf",2 1 ,"g."," 5.4321="," to 3 dp",1 1 ,"g. Solve for x:-","5(x+1)-3(2-x)=7","Remove brackets:-","","Enter next line","exactly - no"," spaces.",1 1 ,"g. Solve for x:-","5(x+1)-3(2-x)=7","5x+5-6+3x=7"," x=",2 1 ,"g. After a 26%","increase,the new","price= 1 ,"g. 4x-3>5"," 4x>8"," x>2",1 1 ,"g. 4x-3>5"," 4x",1 1 ,"f.","0.09753"," = to 1sf",2 1 ,"f."," 0.02468="," to 2 dp",2 1 ,"f. Solve for x:-","3(x+3)-2(x-4)=7","Remove brackets:-","","Enter next line","exactly - no"," spaces.",1 1 ,"f. Solve for x:-","3(x+3)-2(x-4)=7","3x+9-2x+8=7"," x=",2 1 ,"f. After an 8%","increase,the new","price= 1 ,"f. 4y-3x=7 (1)"," 5x+2y=3 (2)"," y=1","Substitute y in","(1) and solve","for x."," x= (check)",1 1 ,"f. Eliminate x","between these","equations:-","4y-3x=7 (1)","5y+2x=3 (2)"," y=",2 1 ,"e.","Enter 1-5.",2 1 ,"e.","0.09753"," = to 2sf",2 1 ,"e."," 0.45X0.08=","",3 1 ,"e."," 0.02468="," to 3 dp",2 1 ,"e. The interest","on `250 at 10%","for 6 years.","=`",2 1 ,"e. If a rod of","length 1200cm is","stretched by 7%,","the extension","= 84cm."," New length"," = cm.",2 1 ,"e. If a rod of","length 1200cm is","stretched by 7%,","the extension","= cm.",2 1 ,"e. 3x-5y=25 (1)"," 4x+7y=6 (2)"," y=-2","Substitute y in","(1) and solve","for x."," x= (check)",1 1 ,"e. 0.0000102",""," =1.02X10",2 1 ,"e. Eliminate x","between these","equations:-","3x-5y=25 (1)","4x+7y=6 (2)"," y=",2 1 ,"d.0.4X0.15=","",3 1 ,"d.","Enter 1-5.",2 1 ,"d.","0.09753"," = to 3sf",2 1 ,"d."," 0.02468="," to 4 dp",2 1 ,"d. The interest","on `8000 at 5%","for 3.5 years.","=`",2 1 ,"d. If a rod of","length 900cm is","stretched by 4%,","the extension","= 36cm."," New length"," = cm.",2 1 ,"d. If a rod of","length 900cm is","stretched by 4%,","the extension","= cm.",2 1 ,"d. 0.00809",""," =8.09X10",2 1 ,"d. x+5y=8 (1)"," 3x-2y=7 (2)"," y=1","Substitute y in","(1) and solve","for x."," x= (check)",1 1 ,"d. Eliminate x","between these","equations:-"," x+5y=8 (1)","3x-2y=7 (2)"," y=",2 1 ,"c.0.4X0.09=","",2 1 ,"c.","Enter 1-5.",2 1 ,"c.","1357= to 1sf",2 1 ,"c."," 1.3579="," to 1 dp",2 1 ,"c. The interest","on `2000 at 20%","for 3 years.","=`",2 1 ,"c. If a rod of","length 700cm is","stretched by 5%,","the extension","= 35cm."," New length"," = cm.",2 1 ,"c. If a rod of","length 700cm is","stretched by 5%","the extension","= cm.",2 1 ,"c. 5x+3y=1 (1)"," 7x-2y=-11 (2)"," x=-1","Substitute x in","(1) and solve","for y."," y= (check)",1 1 ,"c. 0.0000067",""," =6.7X10",2 1 ,"c. Eliminate y","between these","equations:-","5x+3y=1 (1)","7x-2y=-11 (2)"," x=",2 1 ,"c. 3 -1","(4X10 )X(3X10 )",""," =1.2X10",1 1 ,"c. 3 -1","(4X10 )X(3X10 )"," *"," = X10",2 1 ,"b.0.4X0.12=","",2 1 ,"b.","Enter 1-5.",2 1 ,"b.","1357= to 2sf",2 1 ,"b."," 1.3579="," to 2 dp",2 1 ,"b. The interest","on `200 at 3%","for 5 years.","=`",2 1 ,"b. If a rod of","length 400cm is","stretched by 2%,","the extension","= 8cm."," New length"," = cm.",2 1 ,"b. If a rod of","length 400cm is","stretched by 2%,","the extension","= cm.",2 1 ,"b. 45000000",""," =4.5X10",2 1 ,"b. 3x<-6"," x","Enter the answer"," (no spaces)",1 1 ,"b. 3x-4y=1 (1)"," 5x+ y=17 (2)"," x=3","Substitute x in","(1) and solve","for y."," y= (check)",1 1 ,"b. Eliminate y","between these","equations:-","3x-4y=1 (1)","5x+ y=17 (2)"," x=",2 1 ,"b. 5 2","(6X10 )X(8X10 )",""," =4.8X10",1 1 ,"b. 5 2","(6X10 )X(8X10 )"," *"," = X10"," ^^^ 1st answer",2 1 ,"a.","Enter 1-5.",2 1 ,"a.","1357= to 3sf",2 1 ,"a.","123000=1.23X10",3 1 ,"a."," 1.3579="," to 3 dp",2 1 ,"a. The interest","on `300 at 10%","for 2 years.","=`",2 1 ,"a. If a rod of","length 100cm is","stretched by 6%,","the extension","= 6cm."," New length"," = cm.",2 1 ,"a. If a rod of","length 100cm is","stretched by 6%,","the extension","= cm.",2 1 ,"a. 5x+ y=4 (1)"," 3x+2y=1 (2)"," x=1","Substitute x in","(1) and solve","for y."," y= (check)",1 1 ,"a. 4x>12"," x","Enter the answer"," (no spaces)",1 1 ,"a. 0.4X0.7=","",2 1 ,"a. Eliminate y","between these","equations:-","5x+ y=4 (1)","3x+2y=1 (2)"," x=",2 1 ,"a. 3 -5","(5X10 )X(7X10 )"," *"," = X10"," ^^^ 1st answer",2 1 ,"a. 3 -5","(5X10 )X(7X10 )",""," =3.5X10",1 1 ,"The digit in the","5th dp. is 8.","0.0246 1 ,"The digit in the","4th dp. is 9.","1.357 1 ,"The digit in the","4th dp. is 6.","0.024 1 ,"The digit in the","3rd dp. is 7.","1.35 1 ,"The digit in the","3rd dp. is 4.","0.02 1 ,"The digit in the","2nd dp. is 5.","1.3 1 ,"The 5th sf is 5.",2 1 ,"Simplify:-"," 3x-2x=6",1 1 ,"Simplify:-"," 15x-10=6x"," 15x-6x=10",1 1 ,"New length=107%",2 1 ,"New length=106%",2 1 ,"New length=105%",2 1 ,"New length=104%",2 1 ,"New length=102%",2 1 ,"Multiply both","sides by 6:-"," 6 1 ,"Multiply both","sides by 30:-"," 30 1 ,"Examine 4th sf.",2 1 ,"Examine 4th sf.","ie. 3",2 1 ,"Examine 3rd sf.",2 1 ,"Examine 3rd sf.","ie. 5",2 1 ,"Examine 2nd sf.",2 1 ,"Examine 2nd sf.","ie. 7",2 1 ,">8","",7 1 ,">6","",7 1 ,">6","",4 1 ,">4","",6 1 ,">3","",5 1 ,">-6","",5 1 ,">-1","",7 1 ,"<4","",7 1 ,"<-6","",7 1 ,"<-3","",6 1 ,"<-2","",7 1 ,"<-2","",5 1 ,"936","",6 1 ,"901000","",3 1 ,"900705"," =901000 to 3sf" 1 ,"90","",12 1 ,"84","",2 1 ,"75","",12 1 ,"735","",6 1 ,"7.5","",2 1 ,"7","",10 1 ,"6X8=48 Is your","decimal point in","the correct","place?",1 1 ,"60","",2 1 ,"5x+5-6+3x=7","",0 1 ,"5x+5-6+3x=7" 1 ,"5x+3x=7-5+6",2 1 ,"5X7=35 Is your","decimal point in","the correct","place?",1 1 ,"5.432","",9 1 ,"5.43","",9 1 ,"5.4","",9 1 ,"5","",14 1 ,"408","",6 1 ,"40","",9 1 ,"4.8","",2 1 ,"4","",11 1 ,"4 T=k/x" 1 ,"3x-2x=7-9-8",1 1 ,"3x+9-2x+8=7","",0 1 ,"3x+9-2x+8=7" 1 ,"3X4=12 Is your","decimal point in","the correct","place?",1 1 ,"36","",2 1 ,"35","",2 1 ,"32.8","",9 1 ,"31x =-31 (1)+(2)"," x=-1" 1 ,"30","",9 1 ,"30","",2 1 ,"3.75","",2 1 ,"3.5","",2 1 ,"3","",11 1 ,"3 V=kx 1 ,"23y =23(1)+(2)"," y=1" 1 ,"23x =69(1)+(2)"," x=3" 1 ,"225","",12 1 ,"20","",9 1 ,"2 s=kx 1 ,"2 h=kx 1 ,"2 C=kx 1 ,"150","",2 1 ,"15-3x-4x-12=24","",0 1 ,"15-3x-4x-12=24" 1 ,"15","",9 1 ,"144","",10 1 ,"1400","",5 1 ,"1400","",2 1 ,"1360","",5 1 ,"1357"," =1400 to 2sf" 1 ,"1357"," =1360 to 3sf" 1 ,"1357"," =1000 to 1sf" 1 ,"12x-20y=100(1)X4","12x+21y= 18(2)X3",2 1 ,"1284","",6 1 ,"126","",12 1 ,"1200","",2 1 ,"10x+6y=2 (1)X2","21x-6y=-33 (2)X3",2 1 ,"10x+2y=8 (1)X2"," 3x+2y=1 (2)",2 1 ,"108","",12 1 ,"106","",6 1 ,"10310","",3 1 ,"10305"," =10310 to 4sf" 1 ,"10305"," =10300 to 3sf" 1 ,"10305"," =10000 to 2sf" 1 ,"10300","",3 1 ,"10000","",3 1 ,"1000","",5 1 ,"10","",5 1 ,"1.75","",8 1 ,"1.4","",9 1 ,"1.36","",9 1 ,"1.358","",9 1 ,"1.2","",2 1 ,"1.11","",5 1 ,"0.4X0.7="," (4X7=28)","Count the digits","after decimal","point.",1 1 ,"0.4X0.15="," (4X15=60)","Count the digits","after decimal","point.",5 1 ,"0.4X0.12="," (4X12=48)","Count the digits","after decimal","point.",1 1 ,"0.4X0.09="," (4X9=36)","Count the digits","after decimal","point.",1 1 ,"0.45X0.08=0.0360","Count the last","digit but do not","write it down.","",1 1 ,"0.45X0.08="," (45X8=360)","Count the digits","after decimal","point.",5 1 ,"0.28","",10 1 ,"0.1","",3 1 ,"0.098","",3 1 ,"0.09753"," =0.1 to 1sf" 1 ,"0.09753"," =0.098 to 2sf" 1 ,"0.09753"," =0.0975 to 3sf" 1 ,"0.0975","",3 1 ,"0.06","",10 1 ,"0.048","",10 1 ,"0.035","",10 1 ,"0.025","",9 1 ,"0.0247","",9 1 ,"0.02041","",2 1 ,"0.020406"," =0.02041to 4sf" 1 ,"0.020406"," =0.0204 to 3sf" 1 ,"0.020406"," =0.020 to 2sf" 1 ,"0.020406"," =0.02 to 1sf" 1 ,"0.0204","",3 1 ,"0.020","",3 1 ,"0.02","",9 1 ,"0.02","",3 1 ,"0.010203"," =0.010 to 2sf" 1 ,"0.010","",3 1 ,"0.0","",9 1 ,"-6","",9 1 ,"-5","",9 1 ,"-4","",8 1 ,"-3x-4x=24-15+12",1 1 ,"-3","",4 1 ,"-3","",10 1 ,"-2","",6 1 ,"-10","",4 1 ,"-1","",8 1 ,"-1","",6 1 ,"'"the constant"'"of proportion,"'"k, being our"'"speed." 1 ,"'"the VOLUME,V,"'"is proportional"'"to the CUBE of"'"the diameter,"'" 1 ,"","So:-","0.00809 -3"," =8.09X10"," Ans= -3" 1 ,"","So:-","0.0000102 -5"," =1.02X10",""," Ans= -5" 1 ,"","So:-","0.0000067 -6"," =6.7X10"," Ans= -6" 1 ,"","So:-"," 7","45000000=4.5X10"," Ans= 7" 1 ,"","5.432 1 ," x=10/9"," =1.11 (to 3 sf)" 1 ," The decimal","point moves 7","places to the","left from","45000000 to 4.5",5 1 ," The decimal","point moves 6","places to the","right from","0.0000067 to 6.7",5 1 ," The decimal","point moves 5","places to the","right from","0.0000102"," to 1.02",6 1 ," The decimal","point moves 3","places to the","right from","0.00809 to 8.09",5 1 ," =`60 interest" 1 ," =`30 interest" 1 ," =`150 interest" 1 ," =`1400 interest" 1 ," =`1200 interest" 1 ," =0.0247 to 4 dp" 1 ," 9-4y=1 (1)"," y=2" 1 ," 8y-6x=14 (1)X2","15y+6x=9 (2)X3",2 1 ," 7x =7 (1)-(2)"," x=1" 1 ," 5+ y=4 (1)"," y=-1" 1 ," 3x-4y=1 (1)","20x+4y=68(2)X4",2 1 ," 3x+15y=24 (1)X3"," 3x -2y=7 (2)",2 1 ," 3x+10=25 (1)"," x=5" 1 ," 0.4X0.15=0.060","Count the last","digit but do not","write it down.","",1 1 ," -5+3y=1 (1)"," y=2" 1 ," -41y=82 (1)-(2)"," y=-2" 1 ," x+ 5=8 (1)"," x=3" 1 ," Ans= 7.5" 1 ," Ans= 4.8" 1 ," Ans= 3.75" 1 ," Ans= 3.5" 1 ," Ans= 1.2" 1 ," =900+36"," =936cm." 1 ," =8cm." 1 ," =84cm." 1 ," =700+35"," =735cm." 1 ," =6cm." 1 ," =400+8"," =408cm." 1 ," =36cm." 1 ," =35cm." 1 ," =1200+84"," =1284cm." 1 ," =100+6"," =106cm." 1 ," =1.4 to 1 dp" 1 ," =1.36 to 2 dp" 1 ," =1.358 to 3 dp" 1 ," =0.025 to 3 dp" 1 ," =0.02 to 2 dp" 1 ," 4-3x=7 (1)"," x=-1" 1 ," 17y=17 (1)-(2)"," y=1" 1 ," -4x<4" 1 ," -3x>6" 1 ," -3x<-6" 1 ," 8x=8"," x=1" 1 ," -7x=21",1 1 ," x=-10" 1 ," =1.75" 1 ," 1x= (1x=x)" 1 ," -3 -7","(3X10 ) 1 ," x=-3" 1 ," =40" 1 ," 9x=" 1 ," 5 2","(6X10 )X(8X10 )"," 7 8","=48X10 =4.8X10"," Ans= 8" 1 ," 3 -5","(5X10 )X(7X10 )"," -2 -1","=35X10 =3.5X10"," Ans= -1" 1 ," 3 -1","(4X10 )X(3X10 )"," 2 3","=12X10 =1.2X10"," Ans= 3" 1 ," 2 5","(3X10 ) 1 ," =32.8" 1 ," =144" 1 ," =0.28" 1 ," =0.035" 1 ," =0.048" 1 ," =0.036" 1 ," =0.036" 1 ," =0.06" 1 ," 3","123000=123X10"," 4"," =12.3X10",4 1 ," 5"," =1.23X10",""," Ans= 5" 1 ," 1","123000=12300X10"," 2"," =1230X10",4 1 , the"'"new price is 1 , start counting at the first NON-ZERO digit;": 1 , in which we pay interest when it isdue.": 1 (8X10 )",""," =3.75X10",1 1 (8X10 )"," 4","=0.375X10 3"," =3.75X10"," Ans= 3" 1 (8X10 )"," *"," = X10",2 1 (5X10 )=0.4X10 =0.4X10"; 1 (4X10 )=2.25X10"; 1 (4X10 )=0.3X10"; 1 (4X10 )",""," =7.5X10",1 1 (4X10 )"," -3","=0.75X10 -4"," =7.5X10"," Ans= -4" 1 (4X10 )"," *"," = X10",2 1 (2X10 )=";" 1 "," 2 3 5"," Multiply both","sides by",1 1 "," 2 3 5"," Multiply both","sides by 30 and","simplify."," x=",3 1 "," 2 3 5"," 9x=10"," x="," (to 3 sf)",1 1 "," 2 3 5"," 9x=",1 1 "," 0.7 7",1 1 "," 0.4 4",1 1 "," 0.03 3",1 1 "," 0.025 25",1 1 "," 0.005 5",1 1 "," =5.432 to 3 dp" 1 "," 5 4 2"," Multiply both","sides by",1 1 "," 2 3 5",3 1 "," 100",1 1 "," 100",1 1 "''"or, new price= 1 "'"If a price has been 1 to 3dp 12.3456=": 1 to 3dp 0.0163=": 1 to 2dp 12.3456=": 1 to 2dp 0.0163=": 1 to 1dp 12.3456=": 1 to 1dp 0.0163=": 1 put the decimal point after the first NON-ZERO digit."; 1 proportional to the rate per cent,x,at which the money is invested and is written:-"; 1 of the old."; 1 of the length, x metres, of a side of the room and is written:-"; 1 of the heights,x metres, of the glasses and are written:-"; 1 of the distance, x metres,of his horizon and is written:-"; 1 of the speed and is written:-"; 1 means 5X10X10=500"; 1 arethe solutions of the equations.": 1 ENTER the number of the module you wish to work through:- (0 if you have finished with these modules) 1 ENTER the number of the module you wish to work through:- (0 if you have finished with these modules) 1 Do you wish to work through thenotes again before you attempt the questions? Press Y/N. 1 Do you wish to work through thenotes again before you attempt the questions? Press Y/N 1 = the interest for 3 years 1 = the interest for 2 years 1 0.0381=": 1 0.00675=": 1 (4X10 )X(9X10 )=36X10"; 1 (3.5X10 )X(4X10 )=14X10"; 1 (1.2X10 ) 1 to 3sf 3456=": 1 to 3sf 0.07654=": 1 to 2sf 3456=": 1 to 2sf 0.07654=": 1 to 1sf 3456=": 1 to 1sf 0.07654=": 1 if 3x-4(x+1)=5": 1 if 2x-3(x-2)=5": 1 To use Module again, press R. Press S to STOP. 1 To use Module again, press R Press S to STOP. 1 = the interest for T years 1 = the interest for 1 year 1 new.": 1 new.":