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Les cartes, planches, tableaux, etc.. peuvent dtre film^s d des taux de reduction diff^rents. Lorsque le document ost trop grand pour dtre reprodui.' en un seul cllch*. il est film6 d partir rie I'angle supeiisur gauche, ie gauche A droite. et de haut en bas, en prert" S 82 ^'r'.? T"' » •»«»''• purchuier hand, him . ten l„?£,T.°"^ "'. '"«"• The change d„uld be return od" """^ """•• •">' «"«* «l»anr.''>^oM''lo°2s Tn/ S""""'"'"' -'»» divided OTerinewhM,,! ' ' " f*"""" '«"« «> cento e^ry^'i^Tti!', ?»r '"«" •" ""OW d.,. i„ the'fl«t"rrid.rin' r„I^hlt °' 'T«^ •"<• «'<"" »n there in theT„t haJ^of 188B T i~»'' ?« ^'^" "•« Queen'. Birthday betagholidfy.? '^°* ^"^"^ "'' «!>« wide Id 'a°n'i?rr„.",'Tlfat"^rt"'"?! «" " --"- en^lope 3 inche. wide '.„"d% lllf^l^ Cg '."itTrceS .blhe^'Sit"3?M„V±1' "" r^""""- »» «•»*. find the Value „, 29 btK Ke'Sn^ ™"" ' ''"*"- melSIXf w°]5th"^f''i^t:t' tl^"? rfi -' '»"«* I be 30. I then to homo ...Tb j il'' P""* "" meaaure to ing-.tick, from rti°h loallf . ">«'<>??''' of ray walk! to be 77i feet, ho'w 1^ l^'^i^Italll^g^^lS ,°' "" '""''' > At 12| dentc how many 10 8? Jrao purchases ounoM, troy, iincea is made tiud the value nts, 9 pounds su^ur. The te, how much >7hen divided *ve8 50 cents •097 days in ^nd closes on ng days are lay and the I of an inch to cover an with 8 cent •th 80 cents ts a bushel, *f length I measure to f my walk. ' the street ■XBBouia or lUTumna | m 1. How many oords are there In a pile of 4 ft. wood 7 ft. high »Ad i rods long 1 2. Uow muny minutes are there from Friday noon to the middle uf the following wee|( T 8. Seven times one number is equal to eleven times another, and the sum of these products is 4()2, what are the numbers ? 4. A table is 27 inches wide, and 37 inches long, how many one cent pieces may be placed on it without over- lappmg ? 6. If the table (in the previous question) were to shrink three-fourths of an inch in length and the same in breadth, would any of the cent pieces fall off? 6. Five slate pencils can be bought for two cents, two drawing-books for nineteen cents, and three oranges for ten cents. A boy goes to town with a dollar in his pocket and buys four drawing-books, half a dozen oranges, ten three-cent stamps, and eight post cards, how many pencils can he buy with what he has left ? 7. A farmer raised in one field 28 bush. 3 pks. of potatoes, in another 76 bush. 1 pk., and in tho third 25 bush. .1 pk. He sold 97 bush. 3 pks. and put the ramain- der in his cellar in barrels, each of which held 2 bush. 2 pks. , how many barrels did he require ? 8. A floor is 15 ft. wide and 18 ft. 4 in. long, what will it cost to cover it with oil cloth at 72 cents a square yard? 9. In a certain school there are 95 pupils on Monday 87 on Tuesday, 103 on Wednesday, and on Thursday there are 4 more than on Friday. The attendance for the whole week is the same as though 93 had been pre- sent every day, what is the attendance on Friday ? 10. Find the least number which when 17 is added to it will contain 6, 7, 9 and 11 without a remainder. IV. 1. Find the greatest divisor of 1693 and 959 that will leave remainders 13 and 7 respectively. * BX£Roi8i8 nr AiuTBMma mil it take to do the woS » togeUier how long roi^l'^r.s^'rl f^il"".*! ;»}'• ■!°.\~«'-« o, . Mat. a aqaare raid for mS ™f , ' *'• .''«''• »' 'oven »a*.«?Sj""oSdS^rr""''"»°« '"^' WWorlha. a ^a.^iSdT^^aSoli^/'"" i» a «>ad « ,^ WM, and A1aSo«aIr«,eUT, "^'^ >'«» '"'■"■««^ how ,«LS?oKwtViSS;"dot'ttt1ftSV ■^""^ -^ o, boo., at 8 ».,l.:'2^.1tr„'5. ITS'L* the'lit »ifs^^ la "r " ii/r. '^^ *"' <»'• »» are 99 yaM. apart, how ^^'-i^^t'nj^ '»■* i "» PoI« 10. A room is 26 ft \riAa aw%A o ^ • «~^ to carpat H wi^h^X' 27'rwferVi!i5"a' 7 a';id?:!.d1?ong, « wide, at »L07 i Jart J * ^*^ " "*' ""n^t a yard ft- long, 14 ft. wi"i^i?ft 'k,!? ,'°-'^'""' •™"- 1« «» «P m home one morning at At 11 o'clock his father mi«lHh;*^ ""l ^ «»"«« »» W at the rate of 4 mi?L an hJi?' ^jf «*»;*«^^«^^-ownis,of^l^^ 8. What is the value of A- of JL «f -ho „„^ ^ „f „ „„, , 4 «5 ]V,of^« --UU pe„„„ will be 18 ? "* "■ 1 V no added, the suni *• "^ "" ""■» »' -las of 383, and -376 of 18.. u UKR0I8K8 IN ARITHMBUO. 11 ifchea 15 timea a ach breath ? ' with the price The cow cost d the price of ploughing a 10 furrow is 9 in. ' frost, an acre f»n inch thick. uWc inches of ! foot of water ' hour is kept 3er, until the ho amount of fy of 0900 at •ra taxation ? every 40 are r will be re. 3 cent piece I 16s. 9d. of 41 "' ri 'f a person ;350? ^e taken f 1, the sum 13». 4d. 151 ft. Add together jr of £140 IDs. 6d. and g of 48. 2d. 7. Find the least fraction which, when added to the aum of 2, I, and |\, will make the result a whole num- ber. 8. Find the difference between f of 12a. 6d. and § of 14s. 4d. ; and reduce the result to the decimal of 4d. 6d. 9. Add together 1*025 of a minute and '0625 of an hour, and give the answer in seconds. 10. Subtract 6*42 of a furlong from 3*64 of a mile, and give the answer in yards, and the decimal fraction of a yard. XII. L Reduce to its simplest form : — 1 -4 X -0005-1- 002 X 012 10 -0009 2. In a cricket match, one side of 11 men made a cer- tain number of runs, one player obtained '25 of the num- ber, each of the three others, each of two others '0625, and the rest 39 amongst them, find the whole number of runs. 8. A rent is £540, one-third of which is to be paid in money, one-third in wheat, and the rest in barley. If wheat be at 483. per quarter, and barley at 30s., how many bushels of each must be paid ? 4. What fraction of haU-a-crown is the difference be* tween § of a shilling and ^^ of a guinea 7 6. A master of a Russian ship worth $25,000 is himself owner of f of | of | of her. He sells her in a neutral port for f of her value. What is his own share ? 6. Two chests of tea of the same size and quality are consigned to A^ JB, 0, A at first wai to have | of a chest, B I, and G the rest. But A and B purchase ^j, ^x of GTs share respectively. How much will each have 'I Show how to mak«) the division with only breaking open one ; iiii :(j! "■"O"" " uunnnno. '^®8 ^ ^5 of the differan^^ «*-*«.. of I of it ? _ _ ^^ he^heliS^erthe w! ^^'^^'^^^^ ^^ work in I, da. two finish^;;'?,- t'rX'S wh'r^' P^^^n'intS • the work by himself ? ^ ' "* '^^^ '»«»« oould ewh do agifn a\ iTrofit'^c^l'It'^"'. ** ^^ each ; I ,eU th«„. money, what gam do I maira ^Z ?^ ^ °' *he purchase watch. «d al«.L e^VAlZjtlhjy ^* •* «^^ xni 1. A man owned 1 nf • l x ■XBBOISBS IM ARITHMinO. 18 ?. I hay* flOOO and wish to lay out f346f of it in sugar at 8| cents per pound, and the remainder in cofiee, at 111 cents per pound. How many pounds of cofiee do I buy ? 8. i merchant directed his agent to lay out | of $2354 in wheat at 87h cents per bushel ; ^ of it in rye at 56^ cents per bushel ; and the remainder in oats at 31^ cents per bushel. How many bushels of each did he purchase 1 9. A merchant has SS/^y yards of cloth, from which he wishes to cut an equal number of coats, pants, and vests. What number of each can he cut if they contain 3|, 2|, and 1| yards respectively 7 10. A merchant owns -^ of a stock of goods ; | of the whole stock were destroyed by fire, and ^ of the remain- der damaged by water. What part of the whoh stock remained uninjured ? How much did the merchant lose, provided the uninjured goods are sold at cost for (5400, and the damaged at half cost ? XIV. 1. If 1 of { of a yard cost ^ of a crown, how many francs shall I pay for 3 yards, the franc being reckoned at lOd. ? 2. A can do ^ a pieoe of work in 1 honr, B can do | of the remainder in an hour, and can finish it in 20 minutes ; how long would ii, B^ and together take to doit? 3. Simplify _-- + -3j ^^--+ — 4. If J can reap f of a field in 2f days, and B can reap f of it in 4^ days, in what time can A and B reap the whole field together ? 6, 15 men can reap a field in 9 days ; when half the work is done 6 men are obliged to leave ; in how many days will the remainder finish it ? 6. A boy after giving away ^ of his pocket-money to one friend, and | of the remainder to another, has 4cL left How much had he at first I u ■"WISIB HI ARlTHl,.Tia 7' A has an Incomo of -69 of C^ ~ ^K , \ pven ; B t,i„, m^j'^J »' *» "kole number o"m.£ Jill it recur „r",l.ffX7''l?r ""» « •»«=i».l XV. 8 S,!* °"" *~ «»♦ «*•• »fc.t win 30J I^ ^ , *1>« onginal thing > """' " '«" •» lee. Oui fc^l wm .„,„„ ,„ ,„,^ , Pi«. s t^kViis.7cSsvi' hoSW^.ud'!;t S:S''"„l"''","'T * ""e" o' ««« in , ■XEBOnM Dl ARITBBiX'na 16 6. u4 has thrcu timos as much money as B. They play together, and at the end of the first Rarao B wins from A three-eights of A'$ money ; what fraction of the sura, which B now has, must ^ win back in the second game, that thoy may have exactly equal sums 1 7. Find the value of a ton and a third of sugar, when ^ of a ton is worth £65. 8. A docs § of a piece of work in 4 hours, B does | of what remains in 1 hour, and finishes it in 20 minutes. How long would they have been doing the whole, if they had worked together ? 9. Five brothers join in paying a sum of money : the eldest pays a third of it, and the others pay the remain- der in equal shares ; and thereby each of them pays £84 more than the eldest brother. What is the sum of money ? 10. A cistern is fed by a spout which can fill it in 3 hours ; how long would it take to fill it, if the cistern has a leak which would empty it in 17 hours 1 XVI. 1. Find the value of f of £1 multiplied by 6J, and f of f of £1 divided by J. 2. A met two beggars B, and 0, and having -^ of S- of /o'ffi of a sovereign in his pocket, gave B } of f of 7w •"" that sum, and | of the remainder. What did ho re- ceive t 3. Add together | of £1 Is., | of £1 6s. 4d. and | of 3s. 8d. , and express their sum as a fraction of 6s. 8d. 4. How much ore must be raised, that on losing ^ in washing, and ^ of the residue in smelting, there may result 506 tons of pure metal ? 5. Find the value of f of ^ of 3 sq. yards, 6 feet, at A of f7 of 4a. 2d. per sq. foot Of il''l. m ; population. " ^^ *^« '^d-^t femafea: Find the who^e a|.nd|We,8,.andl2.«.pec..,,,^. , ' ISA ^' 4i «' ^'^•oe the difference of th • 'veauis. and*then JL of #of >i' '""P""- .Itlf °'f^ 0'sl:y:„i^-r?ent.um beadded »» the value of J of Ca money ? *** « ^^ the result. What thevesaelattheaameratef 6|°'A<" The'i"^^^ of the globe, globe. "• " ^^'^^'^22 «i. „.ue.. Find "hV.'u^^-^f'^Jj; xvu. •""nder Fmd what .Litm J^'" »' »■«» O^tte wf of th. ,We to be p.arG *" "~"«' "d the'fnSSiS, Talueof 'O' iXIftOISM nv ABTTHMBTIO. If ^gether, and w as the di/. 816,210; the 3n, and the Id the whole If A gives lieir reapeo- n be ftdded 'ulfc. What Bjof Aof *e globe. Africa is >e surface ueof th» »') when ^alue of nber }.^t 1SA,B the re- ractiou is the 6. There is a number to which 3 is added, and ,^0 of the result taken ; to thia 5 is added and ^ of the result taken, giving 1^ ; what is the number t 7 If 4| of a sum of money be equal to \} of £1 lis. 10^., find what the sum must be. 8. A person }eft ^ of his property to his eldest son, and x^ of t le remainder to his younger son, and the rest to his widow. The eldest son received £614 6s. 8d. more '.hiiu the younger : how much did the widow receive? 9. k man's deo» amount to ^ of his property, but be> fore paying them he loses J of his property ; afterwards he recovers a portion equal to ^ of what he has left, and then loses ^ of what he has got. Oan he pay his debts ? What part of his property remains over t 10. A had lOs. in his purse, and B haying paid A 31 2 X ^ of £1 Us. 6d., finds that he has remaining ^^ of ^he sum which A now has ; what had B at first t xvm. 1. If from a certain number } of it be rabtraoted, then I of the remainder, then | of that remainder, and 6 still remain ; what is the number 1 2. 20 is f of } of f of what number t 8. Bxpreas ^ of ] lb. troy -f- ^^ ^^ I ^^ tTordnpois as troy, ana as avordupois weights. 4. A person spends | of his money for dry goods, ( of eke rem&iuder for groceries, and has $16 left. How much Lad he at first t 6. Sampson A Reed aold f of » lot of wheat to one party, I ol the remainder to another, and had 93 bushels loft How muoh had they at first t 6. In a oertain acfaool A of the scholars are girls, | of the boys are over 16 Tears old, and 6 bo^ are under 16. How nuuiy girls, and how many scholars in all t 7. In a oertain sohool )f are boys ; ^ of the girls an 1« •XIRCSM O, AWTHMina under 16 and 1^ • i "- »."y «W, in%t X°o.T '"• H"- ""r b.^ «.d o. :4 requires 4 dava » q j certain piece of wort fr ^7^* *"<* Oil dav« t« -i working together?'^' ^*^^ ^o«» will it tekTA^eJ * .-^ cistern can be fifj«/i u ta « ^yT S°: f„°'/45'ftUte f - -" I of i. «• One pipe «,„ «,. . , '° '"'"' '" "-ow tlie Wl -I ' KXSACUSH IN ABITHMBTIO. Vb 9 A pipe can fill a cistern one third full in J of an hour ; a waate-pipe caja empty i of the cistern in 20 nun- utes. If both pipes are opened, m what ti-ne will the cistern be filled? 10. A and B can do a piece of work in 2^ days ; A and B in 3i days ; B and 0, in 4* days. Required the time in which all three, working together, can do the work, and in which each can do^it alone. XX. 1. What length of board 15 in. wide will contain 11 sq. ft. 36 sq. in. 7 2. What length of road 44 ft. wide will contain an acre 1 3. In rolling a grass plot 24 yds. long and containing 400 sq. yds., how many times must a roller 3 ft. 4 in. wide be drawn over it lengthwise so that the whole may be rolled t 4. How many sods each 2 ft. 3i in. long, and 8^ in. broad, would be require cl to turf an acre of ground ? 5 Find the expense of glazing four windows, each con- taiiiing 12 panes, the panes being each a foot long, and 10 in. wide, and the price of the glass 38 cents per square foot. 6. How many yards of carpeting | of a yard wide will be required for a floor 26 ft. long, 15| ft. wide, if the strips run lenthwise 1 How many if the strips run across the room 1 How much will be turned under m each case i 7. How many square yards of oil cloth will be required for a hall floor 5J yds. long, and 10 ft. wide ? 8 Find the number of yards of plastering in the walls of a room 21| ft. long, 16^ ft. wide, and 11 ft. high, if 12 sq. yds. be idlowed lor doors, windows, and oaaeboards. 9 Find the cost of papering a room 20 ft. 6 in. long, 17 ft 4 in. wide, 9 ft. high, with paper 18 in. wide, 8 yards in a roll, at 75 cents a roll ; allowing for 2 doors, each 7 ft. high, 3 ft. wide, and for 3 windows, each 5 ft. 6 in high, and 3 ft. 3 in. wide. jO •"«»« « «.„«„,„, ^;' CO. '■ Knd the Interert on Swn » . h 8. WW :..-_. °^««»t6per ,/ 8 WW ; * --—"'«» at 6 per '• What will $360 amount f « .• o „»• A person p„ts Tn '^ ^ ^'*" »' » ?«' cenfc. . Office 8avin2f ^^'J P"*^ away «20 - ^.'^«« aavmgs RanJ^ W^Ti, "^"^ *20 a BXER0ISI8 IK ARITHMBTtC II «f and 9 in. ** of an inch iooe be made ^ per cent ^^?>T 6 per cent "^/^ , 'I per cent. it^J/ ' per cent.4 ^ ■ interest, y. ,, ^ at the end r ^ 'aya 4 per ^t the end •' > at 6 per ^ 9nd of 8 A '/t 50 for 3 J ^7 'uni in. ' '0 for 5 - h L A prrsnn leaves S debt of $186 unp»d tor 2 years tnd 3 ra«nths. How much will he then owe if he is liable for a charge of 6 per cent, interest 7 5. A ('ebt of 0700 on which 8 per cent, interest may be charged is left unpaid from the 1st of January till the 1st of October of the same year. How much money will then discharge the debt ? 6. Mr. Uardup borrows from a Loan Company as fol- lows : $360 on the Ist of February at 8 per cent. $500 II II July II 6 II $450 II II December 7 ii With what sum can he discharge his indebtedness on the tat of Jul/ of the year following ? 7. A person borrows 910 on the first day of every month throughout the year. How much will he be owing on the 81st. of December if he is compelled to pay in- terest all the rate of 1 per cent, a month 1 8. If a payment of $6 be regarded as a fair compensa- tion for the use of $100 for one year, what sum will be required to repay a loan of $1,000 which I have had for 3 months ? 9. If $8 will secure the use of $50 for 2 years, how much will be due on every dollar of a debt that has been left unpaid for fifteen months f 10. What will a dollar amount to In 20 years at 6 per cent. t In 6 II 20 II t In 10 II 10 II 1 In 8 II 12i II 1 cent f which muoli Post much XXIIL 1. If I can secure the use of $100 for 8 yean for $18, how much must I pay every year for the use of $7,348 ? 2. $2,800 borrowed money is returned at the end of 73 days. How much interest should accompany ii if money is worth 10 per cent, per annum V 22 MBBCTSBS IN ARITDMBTIO. J-^^r" *' '"»""' '• '» ao Oay' .t « per «„t. 6. On the 15th of Mai , °" °' "■^* ' to th, amount of »3.m Anrmir^"'"™' ''°y» Sood" day. will bo accepted ~oa.hL'-^ ^ '"'^° ""'"'" ^ over and above the 30^.™ h/^.?!"'' """ '" any time per cent, for every Umnth. Tt P^^ »' "» '»*» of J Ml on the 26th ?f J™„e ho„ 1/h'^T ""«■»»»"< in charged » ' "'"' """"h mterest wiU he be day. S W pt S"' °' «' "" " '»» « ■»».*. and 20 s^trr" ""'''■- s^'^rafartSi'':^^^^ .heVdToZ'?:^Z»^^,«»- ■wt. pay John Sm th, m „'rd,r ?i^%r"7iLP""»- mtereat, .t the rate of 9 per S' per .Zlm' **"" ""• H n„„j .^ . ^- JAMES. • noLX Ja?i„'»<>il^^^^^^^^^^^ «^«2^' -'i « note comes legally payable on the 9th Novf 't ^^"? ^"«' ^e- will be requ red to diBchara^ *k1 -November; how much foUomng August f **"°'''''^« *^« ""t* on the 24th of the XXVL 1. If ^ i. f 01 S, what fraction is 5 of ^ f 2. If $600 amount to 8700 in a n«..^„- x- What fraction of the amount « the prino'p j , ™°"'" « •^^---=w]:r^i/^tte^^^^ • iTBimnM in AmnrBMma IB be multiplied in order to find the sum lent t What was the sum f 6. What sum will amount to 91,200 in 4 years at 5 per cent. ? 7. If it requires $12.10 to dischar^^e a debt contracted 8 years ago ; find what the debt was at first ; money being worth 7 per cent. ^ 8. What will $1 amount to in 1 year and 73 days at 7^ per cent ? What sum will amount to $1 under the same circumstances ? 9. What fraction of £1 will amount to £1 in 2 years and 219 days at 5 per cent ? 10. What sum will amount to $610 in 2 years 9 months at 8 per cent ? XXVII. 1. A person borrows money for 3^ ysft»»« at 8 per cent, ■nd repays principal and interest with $320. How much did he borrow ? 2. What sum borrowed on the 25th of May can be re. paid by $738.40 on the 23rd of July, if money bringa ? per cent, interest t 8. In 2^ years I shall have to pay oflf a mortga(;e which by that time will amount to $660. How much money put in the Savings Bank, at 4 per cent, now will enable me to discharge the mortgage when due ? i. On the 10th day of July I purchase goods to a cer> tain amount, fur which I have the option either to pay cash or to give my note fur such an amount as will include interest at the rate of 6 per cent per annum. The note is for $640 which must be paid on the 3rd of December. Find the cash price of the goods. 6. A person borrows money for two yean. For the first year he pavs 10 per cent., and for the second year 11 per cent. At the end of the time he pays back $1210. How much does he borrow f fl8 ■*■■<«««« at AUTBMmo. *• To what fraction of ttm^u — -n During the first vear thl ^f 'ollomng arrangement •-- eent during theCond5r^;eeil*'''''i " *« »>« » P^ »n« by i per cent, each yearf ^' ■""* "<» *>°. 'ncrL- ^^''-S\:llt\'Z^ "'^-^ *" • Saving, absence of 6 years and dre^l* gS'u '''^''''^ ^^^^^ »" he have put in f ^"^ "*"* »214. How much must 10. What fraction of a dniia- -n y~r. 10 mouth. „d 26 C"? 7 ^r SJ"' *•*'"■* ' xxvm. 8. In what tim. wji, . .„„ J """'^ ^'^' ""^ I " f ' per cot. 8J per ce?t. 12}^°'„S.?f ''°'""° **»«« «' « '-*.. IXBBOI818 IN ▲RirHjnma 17 0. In how many days will a lollar amount to $1.13 at 6 per cent 7 10, In how many yean will a dollar amount to $3 at 6 per cent t XXIX. 1. A farmer mortgages his farm for 10 years for $3,000 at 6 per cent, per annum, payable half-yearly. What will each payment of interest amount to, and how much interest will he have paid at the end of the 10 years ? 2. What sum will amount to $1,325.60 in 3 years, 7 months, and 12 days at 9 per cent. ? 3. Th :i interest on a sum of money for 1 year 223 days at 7 per cent is $246.90. What is the sum ? 4. At what rate per cent, will $30 amount to $91.70 in 2 years 3 months 7 5. On the 10th of May $730 was lent at 6 per cent. In what time had the interest amDunted to $8.20 7 6. To what fraction of itself will a sum of money amount in 6 years 7 mouths 18 days at 7| per cent 7 7. At what rate per cent, will the principal amount to \l of itself in 2 years 8 months ? 8. What fraction is the principal of the amount when the time is 156 days, and the rate 7 per cent 7 9. If in finding the interest on $100 for 20 days at 6 per cent, we call 20 days f of a month, will the result obtained be too great or too small, and by how much 7 10. " To find the interest on $100 for any number of months at 6 per cent, divide the number of months by 2, and the quotient will be the interest in dollars." Ex- plain this role. XXX. 1. A offers for a hoase $2180 payable at the end of 3 fears, B offers $455 cash, and $455 at thd end of each year for three years, oflers $1600 cash. Which of these u ^ best offer money being worth 8| per cent f ill it i^i year ahalJ form part of iJl • "' *^V® ** *«« «nd of ewh w much .h.,, «.t%TSi;i„'»'„,t^-',,::::J; •We when the noteT d„, I "" """* '■"«"" » Paj 7aV.rwrth'i^„S;Sl''.T?i'Zt W .certain .„„ i„ charged when Wlirdae bt £fl- Tt """ ■">*• » d"- 5»\^s;rce'l"ssrxter^^^ r™. «^ What rate per cent. wa. he Ji^ngf " *" borrowed. 7. If the use of Mionn tnm oi tow many cents interest am I ^ ''"*" *"'' ■»» »I«2«0, dollar bofrowed I ° ' W'ng eveiy year c, ewS 4.1hrS}:^tel'5la''5l'" ^f'iiS" » "" ««• borrow? " « ♦w.ia At whftt rate did he 10. "To find the interest on tiorto t^ days at 6 per cent, divid?th?num£r ?f T "2?^' «' the quotient w 11 IH, the interSt ta do W^ -ule. Is It MtrioUy correct f "*«o"»w- Bxplwn this xxxt , 1. The population of a tovrn in iata .. ,« «^ increased 8 per cent, in th^ nS* / ''" ^^'275, and It population in 1880. "*** '^" J^«««- Find the 2, How much metal will ht* ntif.;» j * -^ if the metJ be 7 pS^LS.'JMjS.Irl"" "^ "»• «' ■ziaoiaiB Of AaiTHiuna W n-?'«Jf * gunpowder contains 76 per cent, of saltpetre, 10 per cent, of sulphur, 16 pe cent of charcoal, how much of each is there in a ton of powder? 4. If 3| tons of sulphur are required to make 31i tons of^ gunpowder, what fs the per cint. of sulphur in* gSS ™;voJ^ ** ^, °®°*'» .®^ *'«"*■» *"•• toni of on , " *'" '"' "btained from l,2oo n.arked pWoe, and ..i„ .../ke't/.'e^.Sr'rlfj'/'" from the marked price" anl,«nV«'^ ""^ '^ P" ««"* cent. ! '^ ' '"" """ "wke a profit of IB per lo'pef^ce'nt'lf'thTor Vhtr' T."''--''" loa. it for to mal,e 10 per oeiit. j^'"'" '"'«''<■ *" to have .old water K p^'^ cent, of , the orj|,anal weight is xxxin. cll^„'5taWo"t^^^ fish and of the clams was 65 per cent of ?W ^p*??"^^- The coat the cost of the tish 20 per cent of f ? .''^'IV^ ^y«*«". and clams together. Find£°cosi of each ^" °^'*^" ^^^ beVo^^tonJL^^t'r/^^ "-^- ^^-u-n wUi credit. What was his intre^fili^^^rm?'"'"^ *° ^« ^\^0'pIS'£^^^^^^^^^ She much did she expend on each^r ^ *" °'°*^««' ^ow ^eived a majority of 30 L ce„t of ?^^^^^^ ^^"'"^^te How many votes (fid he receive ? *^ ''''**■ *^^' ■XBBOIHBH IN ARITBMina 81 l>y U8in.j false uml 7 fields (iO per ent. is silver. i from 1,200 an mark his ant. from the the cost ? ft man mark 5 per cent, fifc of 15 per ?-maker lost o have sold Bsin wreight ' weight ia s, fiah and The cost waters, and 'ysters and >8um will iereat in a ^g to his Iry. She 98. How 'f a sena- landidate otes cast, 6. In the mmufacture of cloth 080 pounds of cotton and wool were mixed together. If 140 per cent, more cotton than wool was used, how many pounds of wool did the mixture contain ? «9n /" *^'\!^y"'^" P^id »30 for eggs, 040 for butter, and »20 for cheese. He made 20 per cent, profit on the e«g8, 3o per cent, on the butter, but sold the cheese at 80 per cent, ot its cost. What was the gain or loss ? 8. What is the gain on 3G0 yards of cloth, bought at 38. 4d. per yard, and sold at a profit of 75 per cent. ? 9. Purchased 60 gallons refined petroleum at r* cents per gallon. Sold 40 gallons at ^ cents per gallon, and the remamder at 8] cents per gallon. What was the gain per cent ? *> 10. Corn purchased at 45§ cents per bushel was sold for 54f cents per busliel. What was the rate per cent, of XXXIV. 1. A stock of goods cost $300, and freight 5 per cent. additional If 40 per cent, of the goods be sold at a profit of 27 per cent, and the remainder at 25 per cent what IS the gain? '' 2. Bought an invoice of fruits for $340. Sold 76 per cent, of the invoice at 6Gif per cent, of the entire cost, and the remainder at 25 per cent. gain. What was the net loss ? 3. The retail price of a book sold by agenfs is $5 per copy, If the agents are allowed a discount of 40 per cent what per cent, do they gain upon their investments ? 4. An excavator contracted to dig a cellar at 30 cent* per cubic yard. He paid his laborers 24 cents per cubic yard. What per cent, does the excavator gain ? 6. A grain dealer sold 240 bushels December wheal costing $1.14 per bushel, at 99| cents per bushel. What was h's per cent, of loss ? 6. A dry goods merchant's stock ia valued at $89,040, «l nCIB^CSM IM ABIXKMina 35 per cent of which are imported goods. Whal is tbe value of the imported goods ? 7. Paid an attorney $18.16 for collecting a bill of $27.64. What rate per cent, did he charge for hia ser- vices ? 8. A bankrupt can pay $1,300 which is ^ of his indebt- ednesa How much can he pay on the dollar ? 9. A farmer after losing | of 16 per cent, of his flock of sheep, had 264 remaining. How many sheep did the farmer own ? 10. The population of a certain city decreased in 1876 10 per cent., and in 1877, 6 per cent. On January 1st 1878, the number of inhabitants was 55,413. What was the population in 1876 ? XXXV. 1. Bv selling an article for $5 lesa than the value I lose 12i per cent. Had I sold it for $8, what per cent, would I have gained ? 2. A merchant marks his goods at an advance of 40 per cent, on cost, and allows a customer a reduction of 15 per cent, from his bill. Find the amount of that bill, if the merchant makes a profit of $38 on the transaction. 8. A 36-gallon keg is f full of vinogi\r, | pure. 10 pet cent, is drawn out, and the keg filled with water. What is the percentage of its purity now ? 4. A city pays its tax-collector 6 per cent, on all taxes collected, what must be the amount of taxes levied to mh- lize $95,000? ™*^ 5. A bookseller marks his books at a profit of 50 per cent., but allows pupils a discount of 10 per cene. what profit does the bookseller make ? ' 6. If eggs are bought at 15 cents a dozen, and sold at 1| each, how much is gained per ouut. ? 7. A grocer sells ten pounds of butter for what eight pounds cost him. What is his gain per t. 'int. V KZEBCI8X8 nr ARITHMBTia. 83 8. In a mixture of wine and water the water is 20 per cent of the wine, and when 25 gallons of water are added the water is 40 per cent, of the wine. Find the original quantities of each. 9. A boy buys newspapers at 25 cents a dozen, and sells them at 3 cents a piece, what rate of profit does he mak)? 10. By selling cloth at $1.50 a yard, I gain 20 per cent. Whi.i ia my gain on a sale amounting to $40 f XXXVL 1. A forest contains 120,000 cords of wood ; how mucl. will it contain in five years, if the annual increase is 3J per cent. ? 2. A dealer bought a horse expecting to sell it asjain at a price that would have given him 10 per cent, profit on nis purchase ; but he had to sell it for $50 less than he expected, and he then found that he had lost 15 per cent, or what the horse cost him. What did he pay for the horse ? 3. Coffee is bought at 25 cents a pound, and chicory at 10 cents a pound ; in what • proportion must they be mixed thct 10 per cent, may be gained by selling the mixture at 15 cents a pound ? 4. A person spends J of his income, saves J, and pays 6 per cent, on the whole as interest at 7 J per cent, on his debt, and then has $150 remaining. What was the amount of his debt ? 5. A man spends $25 in buying two kinds of silk at $1.12^, and $1 a yard ; if by selling it all at $1.08^ per yard he gains 2 per cent., how much did he buy ? 6. A merchant buys goods at a discount of 30 per cent from the list price, and sells at 20 per cent, from the li-t What price. 03 uach per merchant jEjs at market dozen are he gain ? sells goods at 20 per cent, profit, and in payment. If two eggs in val what per cent, does he gain ? t: 04 BXKBOISBS nr AAITHMXna 8. A htui 33J per cent, less money than B • hn* n,.,oi, per cent, has B more than ^ ? ^ * ^'^ **^"°" 9. A merchant sells his goods at a profit of 20 ner cent What amount of goods must he sell to gain $3,000 ? cent^' ht Zfn]""?/," ^"yi"« ^"'^ ««"'"» <=heats 10 per cent, by means of false scales. Find his fraudulent o-Jfn l.cr cunt, on goods bought and sold. "a^^u^ent gam XXXVII. CA^' 4^°^^® ^*,* ^°"g^* ^or £34 and sold f^r £27 19« 6d. What was the loss per cent? ^ ^^* musUh, „„.i„ae? wtlfio rt^H:,"*/, ^cS ifZ MlU IL^iATX^^^- ^".i''- »" •" "tide which he reuB lor 1U8. da., what is his gain per cent ! thLti^r2nLtit!Vhit'iUdt".c^^^^^^ them at 13s. 6d. a thousand ? **^ ^^^''^^ ■XXRCI8ES IN AKITHMBTia 86 ' ; how niacb gain of 12| per cent. What is his profit on fjie latter transaction, and how much does he gain on the whole ? 10. If eggs be bought at 21 for a shilling, how many must be sold for a guinea to give a profit of 12^ per cent.? XXXVIII. 1. A bought goods to the value of £345 158., and sold them to J5 at a gain of 15 per cent, on his outlay, and B sold them to at a loss of 15 per cent, on his outlay; how much did G give for them 1 2 A sells goods ^ B at a gain of 22^ per cent., and B sells the same goods to (7 at a gain of 7^ per cent. G gave £2G3 78. 6d. for the goods, how much did A give for them ? 3. A deduction is made for a debt of £1373 63. 8d. , and i£1308 28. is accepted in discharge of it. At what rate per cent, is the deduction made ? 4. If a tradesman's pound weight is 13 drams too light, find his gain per cent, from this source alone. 5. If a debt after a deduction of 3 per cent, becomes £210 3s. 4d. , what would it have become if a deduction of 4 per cent, had been made ? 6. A person buys a farm of 150 acres for £4024, and after repairing the buildings lets it at 303. an acre, there- by getting a return of 4^ per cent, for his money ; how much did he expend on repairs ? 7. A builder buys half an acre of land at 15s. 9d. a square yard, and builds a house upon it at a further cost of £2094 58. What rent per annum must he obtain to realize 9 per cent, on his outlay ? 8. After deducting a charge of 10 per cent, on a certain sum and, then a charge of 12J per cent, on the remainder, the result is £787 10s. Required the original sum. 9. After deducting 2 per cent, for income-tax, and 4 par cent, of the remainder for collection, the value of a rental is £490. What is the value of the rental before deduction ? 36 ■XBB018ES IX ARITHMBTIO. ;!i ™h ^ rhS'"^e'':s:d"%r- ^^ -- -' * » the cow, and 20 per cent nn S "P®/ °®"'- »« the cost of was his average g'aTnp'rCt!?' '''' "^ '^^'^^'^^i what XXXIX. "hat profit per cent, will bi,Sofo^>u^''\"'}^ »' "., 2. A person bays five ,iw J „ "*"'' """»' warde riee, in vie '^'^^^^^^ « P^'P^^y, which after o^tSl t.tr '- ^'»- ^''- ™ X'tp'e^S «n\tr?fit|te%::j^,eJS,}r,»eor''^^ l" P« per cent, prtfit. How much ni. ^." <»>s'omera at 26 cost does the purchase" o^^^UoorpLr" """' ?"■»« 4. A person on selling aDoiea «t 1 1 ^^Mh"el;ar2ja^-"te«'.l.t.»--^„^^^^^^^ ftj0R"7p?„;T wh!ti"ThZainTe; """,-" " '«- the loss ,n weight on each cwt toTi^fbsT '"'''""'"« J' r^Ms"?t aXraJfo? « '' "■/ "" "' » Per pipe taining l^pin^ , Xt'llifpS^p^^^-ch bo^tle^: pi:cL"'*rvorpr '°k'A\T «' •,'- »' « ord.na,y course of business it would hJ^" r °'^ " the of 18 per cent. How much mTsoI^ i?,™'™'' » P™*' Which was sold for £50 ? "*f P"°® ^^ an article .* 6s.f aMs'-aTt a^lt^^.lL^m"' ^ •« «'- <• '-• s^'ni;:^"*?^,"- "-^ p»--te:iaiit,i-i '0 cow cost ^ aa • on the cost of ^e horse ; what • and sold at d sold at 7d., i^hole outlay ^ 1 which after »n sells two the property "• at 10 per omers at 25 > than prime nny gains 6 • cent, if he Bell it again '• supposing 'p per pipe, bottle con- ' loss of 15 >W in the !ed a profit ade price ? > per cent, an article 63., 4 lbs. t 63. 9|d. n by the ■XEROISXS IN ARITJIMBTIO. 10. A merchant sold goods for £75 and h»st cent., whereas he should have gained 30 per cent, much were they sold under their proper value ? XL. m 10 per How 1. The rate of freight on 26,000 lbs. of hardware was 60 cents per 100 lbs. It was adjusted between a railroad company and a steamboat company. If the latter received ^U per cent, of the rate what were the charges by rail ? 2. A merchant's annual receipts amounted to $45,672 and his disbursements $26, 686. 80. What per cent, of his receipts were his disbursements ? ,..^' S? ^^^^^ ™*^® ^^^^ ^^2 lbs. of flour, weighs 529 2 Jbs. What per cent, more does the bread weigh ? 4. A bank possessing a paid up capital of $125,000 divides among its stock -holders $3,750. What is the ner cent, of dividend declared 1 ?• ^/\*SX®"*°^ °^"^*^ ^2J per cent, of a patent right, and sold 20 per cent, of his share for $650. What was the value of the patent right ? 6. A merchant sold an invoice of damaged goods at 20 per cent, below the first cost. The charges for freight and insurance were 5 per cent. How much did he pay for freight and insurance if the sales were $840 ? 7. A gentleman dying divided his property between his wife, son and daughter. He bequeathed his wife 40 per cent, and then had $18,600. The daughter received 25 per cent, of the property and the son the remainder. How much did each receive ? 8. A coal merchant sold 40 per cent, of f of his interest for }4,800 cash, and for the balance of his entire interest he received a note payable in four months. What was the face of the note ? 9. Bought an invoice of goods upon condition that if I paid 40 per cent, cash, I would be allowed 40 per cent, discount. I acecepted the terms and paid $50. What Im the balance due ? 10. A capitalist invested $1,500 in city bonds, payinir 6 per cent, which sum was ^ of 20 per cent, of his canit«l What is the amount of his capital ? »■ KIBOIMS nr AWTHlOTia XLI. the\^;ht^ifrbXote;i^ "T^.^'« representing avoirdupois L 62 FindfL ^^T.^? ^''^y* *»^ P^undi poiB. "*^ '^"^ "^^'^ht m pounds avoirdu- pafd «20TtMo?brin!:?nT^^ United States, and sold him at a loaS of #13^ if i,'"^^^^".*?"' ^^^''^ »'« of U ttVet WT LTin''*"l!"r ■" "•• »'» leave, Hamilton forVoronL at the Z^i' another boat rrta--tf-fc,3S:S^^ the age of the grandfather. S«»'8 i4u years. Fmd 10. John spent ^ of his money and had !82 RO l.f* How much money had he at first t ®^*- XLII. ■ZXBOI8I8 or ARITHMBTIO. 89 representing , and pounds inds avoirdu- States, and la, where hu no duty he selling price. A may have urns to ice. 1 it turns to gains $250, is B. How h was T^ of 3d on each at the rate lother boat miles in 15 lamilton if ting. wide, and 16 ft, wide, d half his ears. Find 82.50 left. »ave John first, and "St. How 2. ▲ telegraph pole is 22 ft. long, and the i;>ari in the ijround is ,\ of the whole length. How far is the top of pole from the ground ? 3. One-eleventh of a farm is worth $19.80 more than ^ of it. Find the value of f of the farm. 4. A farmer sold 80 bus. of oats at CO^ cents a bushel, and 6 cords of wood at $4.62^ a cord. He received in payment 64 lbs. sugar at 1 1| cents per p^und, 25 lbs. of tea, at 87^ cents per pound, and the remainder in money ; how much money did he receive 1 5. Albert Edward, Prince of Wales, was bom Nov. 9th 1841, and married March 10th, 1863. His eldest son was born January 8th, 1864. What is the difference between the age of the Prince of Wales at the time of his marriage and the age of his son April 24th, 1885 ? 6. Find the cost of paperin&r a room 30 ft. long, 24 ft wide, 18 ft. high with paper 18 inches wide, 8 yards in » roll at $1.25 a roll. In the room are 3 doors each 7 ft. high, 3 ft. wide, and 4 windows each 5 ft. high, and 3 ft. wide. 7. A shed 12 ft. long, 5 ft. wide, 4 ft. high is full of wood, and another 6 ft. long, 4 ft. wide, and 4 ft. high is I full. What is the value of the wood in the two sheds at $6 a cord ? 8. If a ton of coal occupy 40 cubic feet of space, what would be the expense of filling a bin 16 ft. long, 6 ft wide, and 4 ft. deep, at $6 a ton 9 9. What is the cost of painting both sides of a fence 4 ft. high, enclosing a field 20 rds. long, and 90 ft wide, at 27 cents a square yard ? 10. An engine running at the rate of 48 miles an hour, runs 6§ per cent, faster than usual ; what is the usual speed? XLHL 1. George and Charles have each a bicycle which they are willing to sell for $30. George will make 20 per cent , but Oharles will loose 20 per oent by the sale. What WW the oost of each t i- . 8. In a school of 45 nimiia *i. m another school of 40^38 fc ^ ^^^^^^ 'absent, Which school has the better per c/n/"? ^F"P^^'' *^««»t what 18 the difference in per cent ? *"«"dance, and af tfl"5 "l^^^'^ant sent to an acont fls-^o^ * • at 76 cents a pound af^a-^lj^ r- ^■^^^ to invest in tea "".oit'Z^Te'of To'^^J-.M ■" «i per .». 7 A n«i*n« • -^ ''^ mucn of the loss was covered ? lie value of the hoi°f » P""""" »' »64.60. Wl^ „2, paid hi. debt, pn^Stnd fnf'"' "} •** "'°"«" the MenJ 7\»-'^*^--t'r?dVatts?- «"' eld^t reSnglS^the whiV'" f^^» '""^ brother., the remainder equflT/amZ^!'''.'' '^ "fter. dirid^g thj acre, more t&a 4h o™L oTe^^'Vi'", 'T'"* 90 W an acre, fad the ™l„, o?'S on", rf^j:"" '" '<"«> -oh-thte l~tt' i^eLZ- £ 1"' J"'P ^ P-. Find the length of eaoh iriece. ^ * "' "" Wer. \ XLIV. i-/V *.\a4arcLr?/-»<'Uof «o, and ^ -ee'dsatthemmorate. bariey b^w^rth »'}'^'r b'^.hTV* """■• '■^^' «■>" wheat will ♦«2,6o "„/ > *"• ^cw many bu.h4l. of i'^ tZlRClABS IN ARIYHMBTia 4S iarriag*^ for is gain per in absent, ils absent, ianoe, and eat in tea, sion of 2^ id the ex* er cent. hat did ^ per cent, covered ? lue at 80 i^liJ^was f money le friend ►0. flow ? ers, the ling the ived 90 8 worth pieces longer. >; find ^ and iel« of 5. A man lost i^ of his capital in a certain spwulation. After which he gained $550, he then had «6»85; how mucn did he lose i 4. ^ sold 400 bush, wheat at 01.50 per bushel ; oats and barley to the amount of 0750. With the proceeds he bought 90 sheep at^ each, one yoke of oxen for $90 and 25 acres of land. What was the land valued at per acre ? 6. A has 8320, Bhas 0558 and (70744, with which they agree to buy horses at the highest price per head, which will allow each man to mvest all his money. How many can each man buy f ' ' «. What is the least sum of money for which I can buy foZ atl'iTiihr' ** *'' ^"'' ^"" ** ^' ^"^ - . ^' S?u*^® 1°**^ '^^L"® °^ 3^20 lbs. hay at 014.50 pei ton 720 lbs. wheat at 01.10 per bushel, aid 357 lbs. oats at 40 cents per bushel. 8. In a battle 8 per cent, of the army were slain, and 10 per cent, of the remainder mortally wounded ; the difference between killed and wounded was 915. How many were there in the army ? ai?k ^J' lu'*^ ^°"«^* * ^®"® ^«' *125, and sold it for 0145 ; hnd his gam per cent. 10. If S'Tf yds. of cloth be worth 02.0125, find the value of 1 yd. > « XLV. K ^^fl??™l**^® one-millionth, multiply the difference ?il1;V^"'' Mr"'*?!?*^'^"^,*,? ^^^ P^^duct add the sum of 195 ten-mUhonths, 4306 billionths, and 79 thousandths. \^ ?**y ?/'®^ '"*? » *ai^«»er for 40 weeks for 040, and a smt of clothes, at the end of 24 weeks he gave up his SKuation and received 018 and the suit. Find the value of the suit. 8. Find the value of 4fbush. 1 pk. 1 pt. of oummts at 12| cents per qt. w I •■' USSOIfllB IN ARITHMBTIO. 4. A farmer wishes to put 341 bjjsh 1 nk nt i.i,«-* j r.ll did he biy » " """■ '*"" ™"* l^'- ye.» if he now hj »liiOcS «°'" '^ "" ""«« rod; w7d''e:'af j'^ltr™* "™ ''" «"^ '"-S^ -" 0*^ o ra "I ine cost, tind the cost price per dozen. annum. « lur » years at 4^ per cent, per a^l » S':r4ret t'^ste ^«Thi„^ n Af o t»i>.^i i. i » ichool days of rcertein week l^' oo^^l'^^? ^°^ «*** five Monday was 20, on Tuesdav 22^ w'^^^ attendance on A'hursdJy^a WlrKCnSA,^,^^ EXKR0I8RM IN ARITUMKlia ' wheat in- many bagii of choice use of his ves $1794 many bar- for three he second irst year, ad at the the three nd 94.75 n at this )n. id com- ont. per L5 days, in joins IS thera ;? t.did it isoount ent.? year in estate, h«» five :ce on Mid on 1 4 689 articles at 2U cents each «i — -— 38 " — cents «« « $ 6.33 1426 " ♦• cents " = 79 " " cents •• = $16.01 t'he whole lot was worth $n01.8l. Fiixl from what Is .riven the price of each of the 38, of tlus 1420, and of the 70 articles. 6. Express (a) 26 tons, 18 cwt., 79 lbs., 96 oz. of coal in lbs. (6) 34 rods, 5 yds., 3G ft.. 36 in. of wire in yards, (c) 17 weeks, 4 days, 48 hours, 2880 minutes in day». 6. Thirteen loads of gravel are required for 7 rods of road , 4 loads measure a cord ; the price per cord of u'ravel is 18 cents ; how many miles, rods, yards, etc. can be gravelled with $28 worth of travel ? 7. How many times will the seconds hand of a watch go round in 12 weeks, •?. hours, 15 niinutea ? 8. A dealer bought 120 geese at 3 for $2, and sold them at 15 for $17, Find his gain. 9. Find the cost of fencing a school ground 10 rods wide, and 16 rods long, with a board fence 4 boards high and a scantling on top, each board being 6 in. wide, and 1 in. thick, and the scantling 2^ in. by 4 in. > lumber costing $10 per thousand feet. The posts for the fence are 6 ft. apart and cost 4 cents each, and the cost of labor is $20. 10. A degree of latitude is 69 miles 53 rods 2J ft. long. Supposing Potosi 20 deg. S. Latitude, and a point in Anticosti 50 deg. N. Latitude, how far apart in miles, etc. , is one from the other ? XLvn. 1. A man divided 384| acres between his two sons, giving one 22 acres, 1 rood 20 per. more than the other. Find the share of each. 2. Water which weighs 1000 oa. to the cubic foot, expands ^j in freezing. How many tons of ice can be packed in a building 40 ft long, 30 ft. wide, %nA 22 ft. high ? •"XOISBS II, ABiTHBUna >s "'her half h, I0.V25 pi cLror^''."' S?"' "^ ™ Z low on the ,k„), tran^clbn ""'• ^^'"'^ "» ««!« "? .nJ/7rofj|5rL"„°?f ;r' '»■'« "<"* WOOOO of If of the value at tl^ '"® ^«»«®^ t"a be eaual tni «hip Vnd cargo ? °^ *^*-""«° ^ '^^'^t is the vah?e of thJ minuteJ're?p^ectiy1iy';\if ^^^^^ V"*^^" ^» 3« ^nd 48 minutea. If the ci«Ll« if *^®'*' ^» can emptv it in S open for 12 minuteTlnd JVtT^ J"^ *" * A pi be ^'11 the cistern be full? **"'" "^"^ °ff' »*» wfat time d4 » cents in Can. to Sheffield for 12 do/n™ i. ' *^'"'»<'ian morohaiit reixii do., knive. .»d f„Z.ri6'a"'9rd'".'j ^J-I-knife W »»« at Ss. 8id. a razor J ' ' ' '''*' »'"1 13 doi hot iaS°;\ri'»ifh/-/^;,«»d m^^^ how much per acre did he sell it ? '' *" '"'«' »«d for XLvni. ■XBAOIUB or ARITHMBTIO. 46 ' weekji, if ay 3 times 12 cents a nner that ain as the On one d on the B gain or i $10000 luol to ^ ie of the I and 48 it in 54 >ipes be lat time I Oana- t remit life, 10 Ld dos. >rence, acres? could ainin^ a loss ad for a the 13.60 loolrs what still remains poetr- How long will it take me lu ruad the rest if each volume has 276 pages, and each page had 160 words, allowing me 6 minutes fo/ evtry 138 words and 1 hour every day for reading t 8. What will it cost to plaster a room 14 ft. long, 11 ft wide and 10 ft. high if there are two doors 3 ft. by 8 ft., and three windows 3 ft. by 6 ft., when it costs 18 cents to plaster one square yard ? 4. Make a bill of 372 eggs at 14 cents per dozen, 24 cows at 634 each each, 126 ducks at 67 cents a pair, 10,234 lbs. oats at 35 cents per bushel, 15 geese at 49 cents each, 15 sheep at $4.25 each, and 27 pigs at $3.76 each. 6. A rectangular field 84 ft. long and 79 ft. wide has a walk 8 ft. wide all round it and two of equal width through its centre, one from side to side, the other from end to end. What will it cost to gravel those walks at 2 cents a square foot and sod the rest at 27 cents a square yard r ^ Tx®* JJy J''"*®™. *• ^ '*» ^o"»' 5 ft. wide, and 6 ft. deep. It IS failed with ice. If water in freeze pands i, how many gallons of water can I put in ' ae ciatem when the ice melts ? 7. On a load of grain there are two bushels of wheat for one of rye. The load weighs 1,760 lbs. If rye be worth 76 cents per bushel, and wheat $1 per bushel, how many barrels of flour at $6.50 .-ach should be given for the load ? 8. The circumferei ce of the' fore wheel of a bicycle is ^ times that of the land wheel, which turns 30 times in going 100 ft. What part of a mile will the bicycle have gone over when the two are exactly in the same position for the fourth time after starting ? 9. How many yards of cloth at $3.37* per yard should be given for a pile of wood 64 ft. long, 18 ft. wide, 7i ft. high, when wood is worth $4 per cord ? .nl^* find the cost of carpeting a room 16 ft. long and 13 ft. 6 mohes wide with 30-inch carpet worth $1.17 per yard. *^ •• axMsmsaa in AEiTHMixia XLTX. yards lo^f '• '"«'' '""""^ » !» «»«> field 242 5. ^.cansplitfjofacordof woodinanhour «^anj i hoi i^:?^^ "^ s titrw/dr^Tn^r-it ^-^ how wide is the piece that ia left ? °"* **' *"^ 8. John and James undertake to saw a m'ln «p ™ j i. $1.75. They work together for ahon?, t ^ood for ^aves, and James thin finish the ni[e in S\ *^'" How much should each get? ^ " ^* ^^"''«- 9. The books of a certain library average l-rs «„ each; f of the library was stolen lV.f*l^ • ^ P*^®* loo^^fo.^rL'?/tt^ll^7irar5X'oV„r:^ 7i a high, when wood i. worth $8.50 per llrdi ' BXERCISSS VX ABITHMETia 4ft itively 27 t distance ts to have any trees bhe value Is will it field 242 ents per •0 cents. can do ^ our and >ther do ould be . Into it, and 3od for 1 then hours. pages er was water. *ate of (les at barrel wide, 1. John sold his knife for 36 cents, which was ^ ot what he paid for it. If he had sold it so as to gain | of what it cost him, how much more would he haye sot for it? 2. A man who bought 2 tons, 6 owt. 1 gr. 15 lbs. of hay at $20 a ton sold it for $45. Did he gain or lose and how much ? 3. A barrel of sugar weighing 140 i ^s. was bought for 814, and after it had lost } in weight by drying was sold iit 15 cents per pound. Find the gain per pound on the original weight. 4. In a school there are 546 pupils. There are ^ as as many boys as girls. How many more girls than boys iire there ? 5. Jane and Annie who have been out picking black- berries are on their way home each with her pail full, when they are met by a man to whom they sell all theii berries for $1.35. Annie's pail held 5^ qts. and Jane's held 8 qts. How much of the money should each get ? 6. Keduce 4 yds. 2 ft. 9 in. to the decimal of a mile ? 7. Simplify 5fof4| 7t - 6,% 2J_x_3i 9 ^-7^ * • ""^ 3i-^22f^l2|of8}H 8. Find the value at $4.80 per cord of a pile of wood 85 ft. long, 8 ft. wide and 9 ft. high. 9. Find the cost at $13.75 per ton of a load of hay weighing 4,507 lbs ; the weight of the wogon being 1,347 lbs. 10. What is the time of day if f of the time from noon till now equals the time past 4 p.m. t J, 1. Three times the sum of two numbers is 312, and half their sum multiplied by quarter their difference is 104. Find them. 4« tXBKcisBs nr AiuTHiama ' •! ("•i'4'i™;^fe'r2i't"Ct5 ^-f '«r "s"'^ 2ence is to be 4 ft hiffh TtI hf « ^ • u .* ^*<*®' »» how . ?• ^'of e^ery 4f yds. in the diameter thera ara i^a j in the circumference. Find ho«r muph ,> iS ^?* y^"" cents a yard to fence a circular Xf J ' '^.'" *'°** »* 10 exceeds its diameter by S?^ ^ ' °** ^^u-nferenoe the estate 2 ner cent nf *», ®^P®"*es of winding up ^eclive on the doS;?^ ^' ^^'^ "^"°^ ^'^ *»»« creditors KXa&OISBS or ARITHlCBTia 49 9. A and B bought the apples in a barrel for $2.25. li paid 75 cents and A paid the rest. It cost B 25 cents to get the apples home, and he kept the barrel, which was valued at 15 cents. If each got an equal share of the apples, \ivho was owing the other and how much? 10. On a collection plate were a number of 25 cent pieces, 4 times as many 10 cent pieces, and 12 times as many 5 cent pieces. If each coin had been a quarter of a dollar the collection would have been greater than it waa by $36. How many coins were there of each kind I LIL 1. Simplify ,.3(i + 5^) + ^of^,of(7-2f)-T 2. How many ce-' iiust be added to w.. , -1- -375 to make it equal to $1.00? S. Divide £12. 16s, 8d. between two persons, giving to one two-thirds as much again as the other. 4. A land owner h\s three estates containing 2,457 acres, 2,912 acres and 8,913 acres, respectively. He divides his estates into farms as large as possible, all con- taining the same number of acres. Find how many farms he will have and the size of each. 5. Three merchaKSs invest $6,000, paying in the pro portion of 6, 5 and 4. One year's profits amount to $750. Find each man's shaii land the rat© per cent, for which he receives interest, and also the value of his capital. 6. The prime cost of a 60-gallon cask of wine is $75.00. 5 gallons are lost by leakage, and 30 gallons are sold for $2.00 per gallon. At what price must the remainder be sold per gallon to gain 50 per cent, on the whole cost ? 7. By selling a horse for $140 I lose 30 per cent For how much must I sell him to gain 5 per cent ? 8. By selling two houses for $800 each I lose ^ together? * • ^i. ^ ^^^' ^ ^^ **^* P^®°® o* w "' J in 8 days. B and L m It days, and A 5 and (7 in 6 d lys. If & be wid for the work, find how much each ni Si earna! ^ 6. A railroad runs through an estate for 18 miles occupying a space 83 yards wide, valued at $5.67 per acre The owner m exchange receive a square field wSrth 7d •terlmg per pole. How many acres must it conTaUi ? 7. A rectangular plot cf land ia 160 ft. x 120 ft Tf has a ditch around the outsidaand two others interseitina at rwht angles in the middle of the plot. 3 thelitchef •re 6 ft. wide, and 2 ft. 3| in. in depth, and cost 54 cent! per oabio yard, find the cost of digging them. EXBKCISK8 IN AKITHMBTia SI 8. The fore wheel of a carriage is 12 ft. in oircumfor- ence, and makes 2,200 revolutions more than the hind wheel in 15 miles. Find the circumference of the hind wheel. 9. A block of ice measures 4 ft. by 3 ft. by 2 ft. 1 in. How many gallons of water does it contain, if water expand I in freezing, and one gallon equals 277f cubic inches ? 10. If the import duties on brandy amount to 50 per cent, of the invoice price, and 75 cents a gallon ; and if an importer has to pay $225 for duties on 120 gals., find the invoice price per gal. LIV. 1. James has 6 ac. 2 rds. 10 per. 12| sq. yds. of land^ and wishes to divide it in lots of 10 sq. per. 5^ sq. yds. How many lots will there be ? 2. I pay $100 for a carpet | yds. wide, and it just covers a room 30 ft. long by 27 ft. wide. Find the length of the carpet and the price per yard. 3. How many bottles of wine and beer, respectively, will a merchant have that bottles 2 hhds. of each into bottles, (holding 1 qt. 1 pt.) and what fraction is the num- ber of bottles of beer of the number of bottles of wine ? 4. A. person mixes 20 gals, of water with 40 gals, of syrup at $3 a gallon, with 30 gals, at $3.50 a gallon. At what price per gallon must he sell the mixture to gain $46 on the whole ? Also find his gain per cent. 5. Find the value of ^of|^ofamUe+ f of ^^of f^of Sfur.-^ of 3Jof 2 ft. 3 in. G. What part of Jf of ||| of 34 acres is the fortieth part of 20 perches 1 7. The interest on $50| for 4 years at 8 per cent, per annum is what part of $1,000 ? 8. A man lends a sum of money for 4 years at 6 per oent per annum, and another sum for 4 years at 8 per OS XXKRDiaW IK AMTHMETia 1 Find the prind^alh, each case ™ '™°""*« *« «496. cent. :-(l) When he M^n, fhf ^ ^'^ ^^''^ ^^ loss per pound. (2; When he aelL th« ""•''*."''^ ** ^^ ««"ta a pound. ' '^^ ■*"* *^« mixture at 35 cents a lemonffinVthe'^nuTbrof o^"*^ t T^^ '^ ^' ^f » f<»r 27 lemons. ^' "^ °'*"''°'' ^^a* must be given LV. the third I make « profit of «50 mn^J °™'-' »"'' <>» each, al.o whole gain or low per oen^'"'' "■» ■=<"' P^"' <>' 2oUTonhir;,'°„fSt''he''S' ii' ?;" ^"'"» many rods does the sloond h,?M T"?''.'!"'''''- How of the walk J ^'"'''' ""> «'''»« " the length r«d\id"'^'"b„1?dr2^1:'Xi"'th''e^.^ •»""» *» rods that will famish «n.;„. i™ '?"»' number of ..oh and leave SrremSder™" "' ^^'''' ^'"""" J. Bought eggs at the rate of 5 for 2 „„„(. n many must be sold for 14 cent, to gain 40 per cint J^"" RXRRCIRB8 nr IWTHMETIO. A3 »*?"T,.^.°r H^^rT'"./* take a train 20 rods lon^, and goin- ling ? ™'^^' ^'^ ^°"''' *° «^^^« » ^"^ge 15^rids 10. Bought a Jersey cow in England for £18 10s. 6d luo fC^' *"• ^^""n^" ^2 16?., where I sold her for f 140. Find ray gam in Canadian currency. LVI. if t i^.f " J''* * P'f?. °^ ''?'''' ^" * -^ of a day ; B can do will ihi«ln^V"v^T tJ' "' * «f '^ d^y H«^ long wm It take all working together to do it ? pe?•cS?^*:d^^nXXfI^lT5d p^^t^ ^(Tf^^^S -off V«*nll'» 5?. Sra'^Pton expends $200 in Scranton iZ iS f y\^*-^0 per long ton for the coal in Scran- iin„ ™ f^'^ight from Scranton to Brampton ia 50 cents FinThl:tota?ga?n'; '' " ^"^'"P^^" ^' ^^'^^ ^ »^-* *- 4. If a merchant sells tea at 66 cents a pound, and ftTr Ira rundt^' '" ""' "'" '^ ^^^"' '^ ^^ ««"« r ® •• ^?^ K^lli^iuy P°"i?^^ °f *®* ** 70 cents a pound must I mix with 50 lbs. at $1 a pound in order to sell the mix- ture at 80 cents a pound without loss ? ' «iSx P'^'i® ^^^ *"^°"» ^' ^ and 0, so that S mav have $100 less than A, and $40 more than G. ^ » /• J^e diameter of the driving wheel of an eneine is 7 feet. How often will it revolve going 2 milw ?* 8. Telegraph poles are placed 8 rods apart, and a train passes one every 4^ seconds. How many miles an hour IS the tram going ? j '»u «uur 9. A farmer sold 100 geese and turkeys, receiving for the geese 75 cents each, and for the turkeys $1.25 lach and For the whole $104. Find the number of eadjt' it i'i 64 BXERC18B8 IN A&ITHHSnO. 12mo to?of3Sfi^n""*'^ an edition of 1.000 copies of a tfu^L 1 ■ ^^^ P^Ses. How much paper did ha ua« allowing 1 quire to each ream for waste ? ^ LVIL oour.™ of mortar i of .„ i„oh Sk ?* ^°' '""' '" 2. How much time will a oeraon wain .•« ja 5. Find the contents of a board 18 ft Inno i ** q • wide at one end. and 14 in. wide at the other.^' ^^' ® '"• 6. A dealer sold 7 barrels of applea for SH'iQ fin ™,i.- u «'as I as much as he received for all he had left at IrI"^ barrel. How many barrels in all did he sell ? ^^^ * that there may be t^' ^f^'^llZ'^o'l^^l^^^ ''''' 8. H 80 lb!, of aea water contain 2 Iba nf ..u . i Wlt,^1^^''' ""•!t'»«'i"-«»"» -««•>'. are in w^:.-«-d:t:-a?-sK- ■XBR0IBI8 Of ARITUMBTia 6Q 8. Xn at) orchard | of the trees boar apples, | plums, | chorrioa, ,', po.iuhoa, iind 33 pears. How majiy trees ar« there in the orchard 1 9. A, L and rented a pasture field for 026. A put in 4 03WB for 8 months, B put in 6 cows for 6 months, when he took 4 cows out, C kept 2 cows in the whole year. What ought each to pay ? 10. January Ist A and B go into parf uoijMp, A with «G00, fi with $750. April Ist G joins hem wi'h $1,000, when A withdraws $150, while B p itn in $; '0 more. Dec. 3l8t the net protits are $900. A^l t i* e;- sh man's share ? Lxra. 1. A Brama hen eats U bushels of wheat at $1.20 per bushel, lays 180 egi,'3 which weigh 7 to the pound. A Loghoru hen eats 1^ buhs. at $1.20 per bushel, lajs 200 eggs which weigh 8 to the pound. Which is the more profitable, eggs being sold by the pound 1 2. At what time are tlie hands of a clock (1) at riffht angles, (2) directly over each other, (3) again at right angles, and (4) pointing in directly opposite directions between four and five o'clock ? 3. How many crowns, half crowns, shillings, sixpences and pence are there in £36 ISs. 9d., and of each an equal number ? ^ 4. A steamboat runs 78 miles in 6 hours and 20 min- utes, her engine making 19 revolutions per minute. How far IS she pushed forward by each stroke of her engine ? 5. Divide $345 among A, B, and G, so that B will receive $5 for A'a $4, while G receives $0 for A's $5. 6. Bought goods to the value of $900 at 6 month's credit. If Ijaid $384 at the time of making the purchase, how long should I be allowed ui paying the remaining 7. 16 men or 20 boys can do a piece of work in 42 dava How long will 32 men and 16 boys take to do it I 90 ■XSROISXS IW ABITHMKna LXIV. ^d the »,h prio, ;, .„ a^r Xe l',t ^^uf J'e Rud their 4^^ """ "' """ '««' "'" •» 32 years, wme ; how many quarts *are iCeolLh? '""*' " »600. Fin/the nuXo?L'Se bou^t «""'"« '"""''^ Find the bayini priSI* ^ ^ """« P"°» " W-92- C. Tlie inside of a trunk in 9 » « j„ i ,.. . and ^. in. deep. Ho, 'r^J'.Xt:^ It^J^l^r^ pafd for'tTeTi^^^^rha^' iitr ■»»« ^» the carriage. Find the Jt of S^" '"'"^ " ""■"'• " mo*^1iZ"40Tr'«n'r'on'le<",l '■"„";"''• T^ 1"' *^ first ? ®"- ^'^'^ ™"ol» had he at, •36,000. The moneV C « m, '1T"- 'r".""^ «" tn,hatti«.,..th/C«t«™S.w"» """''• '"*«'"'• BXBRCISES IK ARITHMEna 61 rli. 0. M. »r number. nt. of the Find the , I of the the caxs^o. in 40 per >n credit, •rice is 45 and in 2 32 years. 'le minus juarts is a head, thereby it cost. 8 $1.92. 1. wide, per will fo been luch as lad $65 1 he at seoome ted to itereat. on-f?" ^^ i * y*® ** * g'*^^" «* 30 per cent., and Jf S ftS® Tl^^. o°."^''* ^^^^^^"^ ^°"« '^h'oh l^e sold for horse ^®' °®"** ^^^^ *^® '^'•*' ^^ ***® ^"* LXV. 1. A lady spent ^ of her money and had $99.40 more left than she spent. How much had she at first ? 2. If pure gold is worth $240 per pound, find the value of the alloy in 20 lbs. of standard gold, which is 22 carats fine and worth 84.500 ? 3. A stick of timber 36 ft. long, and 20 in. bv 18 in- weighs 3 600 lbs What must bf'the length o^another stick of the same kind of timber which is 12 in. bv 8 in and weighs 1,200 lbs. ? /"»"•! 4. A yard stick is broken into two parts, such that * of ""art ? ' ^'^^ *^® *®"^^'* °^ ^^^ ^°"8®' 6. A man gave his note for $600 at 5 per cent, simple mterest, on the first day of January; at the end of 6 months he paid $215 on the note, part of which was to pay the interest then due. How much would redeem his note at the end of the year ? « ?" ,^y s«"'ng » ^ouae for $6,000 10 per cent, is lost. v\ hat selling price would have gained 10 per cent. I o/j!" ? *^® double of a certain number be increased by 864, the sum will be 8 times the number. Find the num- ber. 8. A bankrupt's debts are $550, and his assets are $350 He owes one creditor $90. How much will that creditor lose? 9. A certain substance is composed of tin, iron and copper in the proportions of 2, 7 and 3 parts, respectively. If the weight of copper in J of it is 3^ tons, find the weight m pounds of the whole quantity, and also of the tin and iron. 10. At 1>2.40 per rod what will it cost to fence a pieoe of land 84 '6 rods long by 24 '75 rods wide t 03 BZUlOISEa IN ARITHlOTia liXVL 1. If a druggist buys 24 lbs., avoirdupola, of dra^s at >J a pound, and sells them in prescriptions at 80 cents an ounce, apothecary's weight, what is the gain 1 2. Find the weight in tons of 450,000 bricks at 3 lbs. 8 oa. each, and the cost, allowing bricks to be worth $5A per thousand. " d»oJ J«*™ ^Y^®*^ ,?^^ of f of § of a ship which is worth »30,000, and I sell ^ of my share. What portion have I left, and what is it worth ? 4. Two boys run a race of 1 mile, one of them gains 5 ft. m every 110 yards. How far will the other be left behind at the end of the race ? 6. A man owns 1875 of a mine ; he sells 17 of his share. What fractional part of the mine has he left ? 6. If a single article costs 86 cents, how many dozen can be bought for f415.20 ? 7. A house and its furniture are worth $32,324.58 ; the house is worth 8 times the furniture. What is the house worth t 7 8. Simplify 2| + f of gi ^ 1^^. 9. A person buys 3 lbs. of tea at 74 cents per pound and mixes it with 5 lbs. at 56 cents per pound. What is the cost of 1 lb. of the mixture f 10. If 1 cwt. of on article cost $33.60, at what price per pound must it be sold so as to gain ^ of the outlay ? LXVII. 1. What taxes will ^ man pay on property valued at $1,660.60 cit the rate of 9 mills on the dollar ? 2. Find the amount of the following bill :— 18} yards of silk at $1.40 per yard, 22^ yards of tweed at $1.10 per yard, 10 barrels and 50 lbs of pork at $16 per barrel, 1250 lbs. of oats at 45 cents per bushel, 750 ft. of lumber at $0.40 per thousand feet f i t ^^Jn^^nsm or Aarnnana. ^ oJ; ^"^ * "' '■" '"'"' '• *» ''«''™«' o' J of 48 min. onf; t"^'' n'"'' """i!"' *» ♦^•'O* and >■» » "We to d.v only $4,750. How much on thft H^lla,. .i«„- » ""iw w pay what wiU . ™„ lose to whom ho owe^JU'sV ""''' '"^ month-a credit, money boing worth « prcint'l ' LXVIII 1. Ezpreaa the aum of the aum &ni1 iliff„- MDOOXL «.d iXODXXIX in r:!! '„"r~ "' ^, ^' T^® 12J ft. square that will hold 750 bushels. 9. A school of 50 children is kept open 44 weeks during the year and 5 days during the week. The chUdren nal nothing for the days they attend, but forfeit two cents for every day they are absent. At the end of the year the payments for absence amounted to $25. Find the aver- prj'd daily attendance. 10. A dying man left his country to be divided amonr his widow, 3 sons, 4 daughters, as follows : the widow tc get half as much again as a son and twice as much as a daughter, also ,V was to be deducted for expenses It was found that each daughter received $1800.00 How much was his property worth ? ' ' LXIX. 1. A father and son by working 9 hours a day can finish a piece of work in & days,, the father doing twice as much Clinton, a the hoop oop turn itiai7 and s a aeteo- I route at I will the I way from a peraoD e every 3 . If the telegraph id Lucy, for their lamo size the boys, eon pur- a similar ? ft. high of a bici ts during dren pay cents for year the he aver- i amonf vidow tc uch as a ises. It ), How m finish as much izBRomi nr ▲BrraiiBTio. M work M the son. How many hours a day would the son firL^«*^cS»? '"^/^ *° ^""^ * P^®°« of '^^fk 5 times as large m 90 days f nr,v:«^«J?^*f"'?^ • f?u'°' ^^-^ ^ 8»^n * o^ *he cost &i sold it foJ iS"? "^^ ''''"^^ '"p'"''"* "^y 8**" 8. Divide 620 marbles among James, John, Tom and Alex., so that for every 2 James gets John may get 3, foi every 2 John.gett Tom may get 5, and for even' 2 Tom gets Alex, may get 7. 4. ^ can do a piece of work in 6 hrs., >B in 6, and C in ii hi """"h *f ** ^y.,^.?f 1^ It hra., then B by himself 2J hrs. How long will it take to finish the work ? 6. If 3 men, or 4 women, or 5 children can be boarded • week for f7.20, now much would it cost to board a man. his w ife and 4 children fox 13 weeks ? 6. -4 owns^ of a potato plot, and B the remainder. xr^®?-2*® PO*a*oea are dug m the fall it is found that i ol the difference between their shares is 42 bush. 2 oks Find how many bushel belong to ^. 7. A merchant has 9 times H" of ^-h if acres Ol ^fl of it be sold for oainder in dollars 8H5| land. If If of ^ 4- VV of 6f of an a 3,650 guineas, find the value of the r and cents. (ls.=24|a) 8. The width of a large haU is f its length, and the dis- tance around Its wall is 112 feet. Find the difference in cost between carpeting it with carpet 21 in. wide at 87* cents a yard, and with carpet 35 in. wide at f 1.25 a yard 9. Mr. Jones has a « interest in a mine. If he sells A of his interest, what decimal wUl represent his interest in the mina tben 7 10. At the first quarterly examination -425 of the chU- dren were examined in arithmetic, ^^ in history, -1469 in mmmar, and the remainder 41 in reading. How many duldren w»re in the lohool t ^ M BXJI&CISB8 IN ARITEMXTia II LXX. •oi'iS® y^*'^y ''**®' '^^ * Reneral merchant amounted to »^»,100. On groceries, which tornied i of the aaJ- a. he S!l*Jf'°?^u^ 20 per cent, on boots and shoes, which fonned J of the sales, he made a profit of 30 per cent.. ri^J* 7q^,T^'' which formed the remainder he made a profit of 33i per cent. How much did the merchant maifa during the year ? 2. A liquor dealer bought a barrel :if beer for «] ? 20 and recalled it at 5 cents a pint. Find his gain per oenfc! nA ^*""?J>"^,^?f^*:40 in the Post Office Savings Bank on Jan. 17th, It ii, for which she would get interest at 4 per cent How much did sho receive from the bank when she withdrew "* ' ' ""o wuik A»i VJ^rci> 14th, 1885? 4. Four men hh^A t pasture for $45. The first man Pu * i?-^°r* ^'^'" ^ '^^^^^'» **^^ second 4 cows for 7 weekR the third 3 cows for 8 weeks, and the fourth 2 cowrfor J> weeekfl. How much should each pay of the $45 ? 6. Fmd the cost of building a side-walk 4 ft. wide on bothBidea ot a street a quarter of a mile long, with a 3-inch plank and costing $8 a thousand. 6. What fraction of the distance round the earth »;il represent the width of the North Temperate Zone ? ^^'i* ^int*i« 5?'* °5 P^a8*f jng t^e walls of a school-room 8. A watch which gains 90 seconds in 14 hours marks the correct time at the beginning of the week. What we k ?^ ^^ *^°^® "^^^^ ** ^"^ *^® ®"<1 of "he 9. What time will the watch in the previous auaii*,'n« mark at the end of the week ? previous question 10. Aji English youth in a Hamilton coal yard weiirhp*! oat coal by the long ton at f7.50 a ton until hi h!3 booked $93.75 What would have been the wS„t? ^^ price by the short ton wei^rht J w«igm and IUB0I8I8 IN ARITHMETIC «7 LXXL I What is the difference in the cost of fencing, a,t 16 GmiA a rod, two lO-acre fields, one being square, and the other being 30 rods wide ? 2. A stick of timber 8 in. thick contains 10 cubic feet A block 3 ft. long is out off, and the stick then contains 8 oubic feet. Find length and breadth of stick. 3. A merchant marks an article at 40 per cent, advance on cost, but deducts 20 per cent, of his price for a friend and stiU gains ^1.08. Find cost price. ' 4. I invest $18,000 in an enterprise which yields me 5i per cent. My income is taxed, and I find I have «976 after the tax is paid. What per cent, income tax do I pay? 6. A manufacturer sells an article to a merchant at 20 per cent, advance on cost, the latter sells it at 25 per cent, advance on cost to him. The last purchaser pjya ^p30. Fmd first cost. *^ ' 6. A London merchant buys silk from a Paris merchant by the metre, and sells it at same price per yard What IS his gain per cent, if the metre is 39.371 in. long ? 7. Two trains start from the same station, one 2 hours ahead of the other. Their respective rates are 25 and 30 miles per hour. The faster train arrives 1 hour before the slower. Find distance travelled. 8. At what time between 1 and 2 o'clock are the hour and minute hands at an angle of 60 degrees ? 9. With the hands in the above position, if 7* in of the circumference intervenes between the point of minute hand and the point indicated by the hour hand, find length of minute hand and distance it travels in 24 hours Oircumference=3f times the diameter. 10. What fraction of J is f of 7 ? LXXIL A man buys a farm for «60 and sells 1 of it for I than It cost him, gaming on the part sold «4M 1. more cnan it cose him, gaining How many acres did he keep ? 1)8 I' if ■xtEoisis nr ^ithm jtio. •i^An^ '**^®T '^T® ^'« eJ^Jest Bon ^ of his mouev and $1,000 morew but if he gave him 1 «f »,;- J, m"»ey and havo given U « 2.0?oTo'eTh!n°heV^^^ Z h 2. The main building at the centennial was 1.880 feet m length and covered 20 ao. 11 per. 6 ft. 36 in -how many yards wide was it ? ' ^^ *i ^u*"\^.^^^® the same income. A lays by a fifth part of his, but B by spending more than A findVWmself at the end of 4 year. $220 in debt. Find their incomes AoktT r" ?" *«^o kinds of flour ; Ithe first is worth $2.60 a barrel more than the second, and 9 bbls of the second are worth as much as 7 of the first. What is the price of each per barrel? "naiisine 6. Bought a quantity of wine for 675.32* at 85 cents per ga Ion, but a part having leaked out, the remainder was sold at I gain and the original cost was realized What quantity leaked out ? "-''^ou. 7. At an election of a member of parliament X of the constituency refused to vote, and of two candidates the one who is supported by M of the whole constituency is returned by a majority of 6. Find the number of votes cast for each. "" a A train going at the rate of 30 miles an hour passes a man walking at the rate of 5 miles an hour in 18 seconds, man and train going in the same direction. Find the length of the tram in yards. 9. A certain garden is 12f rods long and 9J rods wide. At 2^ cents per cubic foot, what will ft cost tJdig a ditch around it that shall be 3J ft. wide and 4 ft. deep! 10. A buyer expended equal sums of money in the nur- chase of horses, cows and sheep. In the sales he gained i on the horses, and ^ on the cows, but lost * on the sheep, receiving for the whole lot $4,675. Find the sum expended on horses, cows and sheep. Lxxin. t .i and ^ engage in trade. A furnished A of the <»9iH wd B A. UB should transfer •379jrof L ca^! louey and 1 he would low much a give his 1,880 feet in. ; how by a fifth is himself ' incomes, is worth Is. of the hat is the 85 cents emainder realized. At of the dates the iuenoy is of votes nr i)a8Bes ur in 18 n. Find ds wide. I a ditch the pnr- 9 gained on the iad the ■XEBCI8M IK ARITHMETIC. O of the uaoapi' OMh°uniiihf "*'''"' "^""^^ ^ '*!""'• ^"'^ °»"«^ ^'^ 2. ^, B and traded together. A out in JKUn n •250 and 120 yards of cloth.Shey gateWso^ G 8 share was «100. Find price per yard of C's cloth. 3. A man having lost ^ of his capital is worth exactly M much as another who has just gained ^ on his capital, the second man's capital was originally $9,000 : find the nrst man s capital. 4. Bought 3 000 bushels of wheat at $1.50 a bushel. What must I ask per bushel that I may fall 1 on the ask- fof bad'de'bte ? * ""^^^ ^ ^''*^*' ''"^^^"S T^ °^ *he sales 5. A man laid 8 of his fortune in speculation and put out on interest the remaining $6,800 ; at the end of the year he had g;ained ^ as much by speculation as he laid out, and his interest was J of the principal. What was his fortune, and how much did he gain during the year ? 6. A piece of oak timber with its end 24 in. square con- tains 16 cubic yards. Find its value when sold at 55 cents per foot m length. •i!o^ wine merchant bought a hogshead of wine for f «ooa P»rf, h^^ing leaked out he sold the remainder ioT $2.98 a ga on and found his loss to be ^ on the cost. How many gallons leaked out ? 8. A farmer sells 20 bags of wheat, averaging 2* bushels per bag, to a merchant at $1.05 a bushel and gains 20 per cent. He receives in payment 2 suits of clothes at $25 each. The merchant's gain on his goods beinir 26 ner cent. ; find who gained the most. *^ 9. I bought f of a ship, but the property having fallen in value 8 per cont., I sell 14 per cent, of my sW for $2,760. What was the value of the ship at first ? 10. A certain principal, at simple interest, for a given time at 8 per cent, amounts tc $710.40, and at 6 per cent for same time to $652.80. '/ ad the principal and rate " IXBRCISKS IK «!?TrUMETia davs he h.^ ft nM *"" ^* ^ T*' !*^^- ^* the end of C h'rhe'ma'd:d'uHngZ^;^eeT?'*"'^' ^^^ """^^ ^^^ thLtt^Tq^r"^^^"??-^ ^^ ^°°^'' '^^ -- ^'wh- He Bold „ntw 5 *^*i,^ ftP^-o ,^'' wpenses were $10. He wai unable to collect for 3 books. How n.uch did he gainT 3. If a cl6r\- receives $640 a year, and his expenses are J500 a year, aow many years will it take him to nav for a house and lot worth |1,120 ? ^^ * wntw 1^ T°^ '^**?' """* ^ ""^ded to a gallon of miJk worth 4 cents a quart, so that it may be sold for 5 ceSi a quart, and give a profit of one-half of cost ? * ai^^.i*""!/^""^*^ ^1''°''*'' ^^^^' a"d lasts on an avera^^e fr'o^T5th ^:t^^"lthTa7^"^ '^ ^^^"^^^^ *o "^ -^ 6. A man sold 2 houses for 81.600 earh . «« ♦»,« i. 7. Three men hired a horse for a iournav from a * t» and back again. Half way from * o B t^elTertake a Sl"fl^f r ''^A "^r^l*^ ^^y ^« «h*'« ^f ^h?cos?tr the distance he rides to B and back half w« *^ a xwrt should he pay if the whol ^st o' the hoT is Vf ^^* Afr """"^ '^"*'' '^^^ *'" ^^''^ ^ IW -quare 9. Find the cost of carpokng a room 12 /t. bv Ifi ft mth carpet 27 in. wide at $1.35 per yard ^ •i®' There are 40 pupils in a room 36 ft > >m 30 ff wide, and 15 ft. high. How many cubi, yards of afr i- there for each pupil ? / » j yaraa ot air are LXXY. 1. If a certain number be taken from q nnn nno xu remainder wUl be 709,008. What ii the nurnU?!^^ ' ■XlBOIHBg IK ARITHMETIC. n 2. If a tradesman makes 2Jd. profit on ©very shilling's worth of goods he sells, what amount of goods must he sell a year to be in receipt of an income of £100 ? & Simplify the following fractions :— h + h+k . Sof J n + H + H' *off 4 A man after paying income-tax at the rate of 2d. in the pound, found he had £178 lOs. left. What was his original income ? 5. A man bought a horse and saddle. The saddle cmi a third of the whoN, and the horse cau^^ £60. What was the cost of both f '6 of a guinea and 6. Find Ihe difference between •^42 of a shilling. 7. If 18 men can dig a trench 36 yards long in 24 days by working 8 hours a day, how many many men will dig a trench '3 yards long in 56 days, working 9 hours a day ? 8. Wha. im of money will produce £591 128. 4d as simple inte^ . t in 4 years at 2^ per cent. ? 9. Howmuoi paper } yard wide would be needed to paper a rootr iu ft. long, 24 ft. wide, and 12J ft. high ? 10. If by selling c <^Qa at 24 for U. 6d. I gain 50 per cent, at what price . >t I to sell them per doz. to iraiii 6d| per cent t r » » LXXVX I \. ^ ^^^ **' ^^** " beaten out in leaf to cover 66 ra Inches, mat weight will be required to for gilding tlie face of a cube whose edge is 3J ft ? » "K "•« 2. Byselling goods for 60 cents a pound 8 per cent, is lost. What advance must be made in 'the price in order to gam 15 per cent, on the cost ? ^' ?^ri?? •?t:^^ij*'"f°« *^'®® persons, giving the ■econd 95 leas than the first, and twice as much m the n ■XXR0I8BS Ur AftlTUMBTta 4 At what time between 5 and C o'clock are the hour *nd nainute handa of a watcli exactly together ? 6. A flour merchant boup'\t 120 barrels of flour for S650 paying «5.76 for tirat quality, and $5 for second quality! How niany barrels were lirst quality ? "» * 6. How much water ia there in a mixture of 100 jjallons of wine and water, worth «1 per gallon, if 100 galfona of the wine coat $120 ? r o , {jwiuua « Afi7 fin^r-'t*! * ^T" **i T'"^** F-l^ » «a"on. •nd paid •67.60 freight and a duty of 24 per cent. I aold the whole for $1,980. What waa my gain per cent. ? t \h^ti^"'^'' "°^5i ^^oJ""- **' ^^'^^ »"^ '^e bua. of barley for $63.10, receiving 35 conta a buahel more for the bar- b h 1 ? ^'^"* ^'*^** '^^^ *^® P"°® **' ***'** P®' 9. If a boy bays peaohea at the rate of 6 for 2 cents and Bella them at the rate of 4 for 3 cents, how manv muat he buy and aell to make a profit of $4. 20 ? 10. What is the number from which if 7* be aubtraoted i of the remainder is 91^ ? * Huoiraotea LXXVIL 1. What will be the expense of an oil cloth for a hall 1 yds. long, and 10 ft. wide, at $1.25 a aquare yard ? 2. How much >ater muat be mixed with 100 sals, of vinegar, at 60 cents a gallon, to reduce the valae to 50 oenta a gallon I « «« «« 3. A train 110 yarda long, moving at the rate of 4 mile a minute, meets another train movinjj; at the rate of 40 ft a second, and passea it in 8 aeconda. Find the length of the last train. 5 *» v* 4. A clock which loses 6 minutes in 24 hours is 10 minutes fast at noon on Monday. What o'clock will it ahow at 6 on Wednesday morning ? 5. The interesi on a certain aum of money for 24 vean at 7 per cent, ia $6.87i. What ia the sum of mon^ ? tXEROISRII IN ARITHMKTIO. if* 6. Sold f of an article for f of what it cost. What wa the p^aiii per cent. ? 7. A publisher wishes to nek 75 cents on each copy of a book. What orice should he put upon it that he may be able to allow the trade 20 per cent, discount ? 8. A grocer gained 12A per cent by selling 10 lbs. of sugar for $1. How much will he gain by selling 11 lbs. for 81 ? 9. What principal will amount to f 500 in 5 years at 4 per cent, simple interest ? 10. A customer bought what he supposed was $48 worth of tea, but a false weight having been used he got only $42 worth. How many ounces were given for a pound ? LXXVIII. 1. A shilling weighs 3 dwts. 15 grs., of which 3 parts out of 40 are alloy and the rest pure silver. How much per cent, is there of alloy, and what is the weight of pure silver ? *^ 2. Add together the greatest and least of the fractions }» If H» iS. and subtract this sum from the sum of the other two fractions. 3. What must be rate of interest per cent, per annum in order that the interest on $50 may be 1 cent a day ? 4. The cost of carpeting a room, whose length is 18 ft., at 38. 6d. a sq. yard, is £5 12s. ; and the coat of painting the walls at 4s. 6d. a sq. yard is ^17. Find the height and breadth. 6. How much cotton, 4 ft. wide, at 3d. a sq. foot, must be given in exchange for 393 7 metres of silk | of a yard wide, at 4 francs per sq. metre; £1 being worth 25 15 francs, and 1 metre being 39 87 inches 7 6. Which is the greater rate of intevest £7 for the use of ^146 or £4J for the use of £91 ISs. for a year ? 7. 3 men, 4 women, 6 boys, or 6 girls can do a piece of work in 60 days : how long will it take 1 man, 2 women, 3 boys, and 4 girls working together t 74 BXERCLSBS IH ARITHMEna -vLu T"; ,rin It Ihon^ ^1 ."•• "■ "» •»"'«'• He walls at 9d Mr so „S *^-A,""^ *<•« P'mting of the height of the roomt ^ °°" *^ *'• ^''^ ^h*' « *» mtauteVtday ' wC^'nTl^l?'' *?-^»y. t>»t it gain. 1 Lxxnc .hird. He had u"/t ,Lf, Lt ^ot h'rd'i.^'a'tt j, "" the tae h. received £3 lU. -.tiZnjV^' il^ Si InVelS™rr7f„s:d^l"' "Tt' Con-ervati.e.. LibenJ. ; the votJ^'Tere^now ^S^f *Hr ' "'" '" ""■ were there altogether! '"'' *«"'"• How many votera wlf.ise'^j'a^rf.^^Jr "jS""-;. I »««rt .Her . friend overtaking him ! ' '""' '""S ''-"U I be in it indt:!ra.TJoi'oc"rthe*>-- '^i"" «"» ""-"M may he right at 7 ir;!'„;"o*tr °™eV» °"^" *" " wLt'ih'e 'i^'To^^oreStlJ ■; f l""!!: '» ■«" "«'«• iO min. to roS atlfe: ^pTd' /nl^lSt *? " ** ""» BXSRCI8ES IN ARITHMBTia TB 8. I bought a certain number of apples at 3 a penny, md ^ of that number at 4 a penny. By selling them 16 for 6d. I gain 3^d. How many apples did I buy ? 9. If I lend a sum of money at 6 per cent, the interest for a certain time exceeds the loan by $100 ; but if I lend it at 3 per cent, for a fourth of the time the loan exceeds the interest by $425. How much do I lend ? 10. A grocer wishes to make spice at 83. a pound with another sort at 5s. a pound, so as to make 60 pounds worth 5s. a pound. What quantity of each must he take 1 LXXX. 1. A cistern whose capacity is 960 srals. is filled in 30 minutes by 3 pipes, the first of which convevs 12 gals, more, and the third 7 gals. less than the second," per minute. How much flows throrgh each pipe in a minute? 2. A can do | of a piece of work in 12 days, B can do h in 10 days, and can do J in 4 days. In how many days will they complete their work if all work together ? 3. In a division the majority was 162, which was j\ of che whole number ; how many voted on each side ? 4. If $3 are paid for the use of $60 for 4 months, what rate of interest is charged ? 5. In what time will $1,280 amount to $1,500 at 7 per cent, simple interest ? 6. How many thousand square feet of plank will bo re- quired to make a plank-walk 300 yds. long, and 6 ft. broad, allowing J inch space between each foot of leiitrth 1 7. What will it cost to carpet a floor 17^ ft. long, and 13^ ft. wide, with carpet 2/ in, wide, and' costing SI. 35 per linear yard ? 8. How many 3-cent postage stamps will be required to be sold to clear $2 a day ; the profit on the sale being 5 per cent ? 9. A lump of ice is 4 ft. long, 2 ft. thick, and 3 ft. wide. How many cubic feet of water will it make whpn melted, water expanding 10 per cent, when it turns to ice? 7« MBfcCISBS Bf AAirMMXTIO. 37* ceni f ' ^ "*^* °^ "'^^'"S » ^^^rrel of flour being LXXXL anllf Allied "M'SetrKT" ' V f-"" XO milM, and C 12 mil.. ™ j {' "* «°™ * '"'''sa, £ together agJJin) ""^P" day, when wiU Iheyall'be fi,^ S?^ "??"3^. ^°"^* ™U8t be bought at «qr) o i, that after allowing 90 cents for ih^r f f^ ^^''^ so week, and then selling each at 8120 f^^** ""^ ^^'^ ^°' » of «349.20 ? '^ *^^"' *^^^e "^y be a gain ,utite?<5'al',i! .T^'ee^Ur i "" -" "■'«• '<» ' Find gain on each bu.hel '^ *''• °' '* '"' »20.20. m* n.o« than Lt F^r^rer't'J p'S' ^^'^tr CXBUCXSVI- IM AAlTHltSnii; 11 LXXXIL 1. How far may a person ride in a carriage going at thr fa.te of 8 miles per hour, so that if he walked back at tlw rate of 3 miles per hour he may be gone 6|| hours ? 2. 2 hens and 3 ducks cost $1.16, and 8 hens and 5 ducks cost $2.85. How much more does a duck cost than a hen ? 3. What will it cost to carpet a room 12 ft. long, and 8 ft. wide, with carpet 27 in. wide, worth $1. 35 per yard ? 4. A man gave ^ of If times his money for a buggy, | of what remained for harness and had $15 left. Find, how much the buggy cost more than the harp ess. 5. In what time will $250.60 amount to $295.59 at 8 per cent, simple interest ? 6. A does jf of a work in 4 days when B coues to help him, and they finish the work in 1.^ days moie. flow long would each by himself take to do the whoie of the work ? 7. How many square yards are there in a walk 6 ft. wide that surrounds a lot which, inside of the walk is 16 rods long and contains | an acre ? 8. A man borrows $300 for 2 years at a certain rate, and $400 for 3| years at 1 per cent less, (both simple interest). He pays in all $136 of interest. Find the rate in interest. 9. In a mixture of wine and water the wine is \^ of the whole. After | of the mixture is withdrawn 8 gals, of water are added, and tha wine is found to be | of the mixture. Find the original quantities. 10. A piece of land is 400| rods each way. If a road 100 ft. wide is cut through this, parallel to Uie side, how many acres will be taken away ? ucxxm. 1. ^ and £ ( ^age in business ; A puts in $16,000, and B $18,000. A IS to have ^ of the profits for managing the buslueu. How should a profit of $3,600 be divided t tt IXBRGISBS IK ABITHMEnO. a. A railway tram travels at the rate of 20 miles per hour including stoppages, and 3fl miles per hour wherit does not stop. In what distance will it lose 3 hours bv stoppages? "^ 3. A and B can do a piece of work in 6 davs h anw #' m 8 days. G and A in 9 V flow long ITa^B^I^^ 4. Divide $760 among A, B, and 0, so that B may have $160 more than ^ but $50 less than a -° ™ay nave 5 A house and lot cost £660 15s. 7id. ; the house cost 14 times as much m the lot. Find cost of house in Cana- dian currency. (£15 =$73). *i,^"fl®*if^ f ^^^r^'^f ^*®P* ® ^"' ^'g^ and 9 in. deep, for yaJds'o" ctpT'^^ ^""'•°" '"'^ *^^ ""'"'^^^ -^ -rf-- 8. How many cubes, with a 3-inch edge, could be cut from a stick of timber 16 in. '.hick. 22^ fn.' wide? and 23 ft. long, allowing a quarter-inch saw cut ? » *« ^-J 10. If the French metre, which measures 39 STmo ;« n .0000001 of one-fourth of^he distance 3nd 5^^^^^^^^ hnd the aistance m miles, to three decimal places. LXXXIV. i. One egg contains as much nutriment as 3 oz. of benf If eggs are worth 20 cents a dozen and beef 11 cents a pound, which is the cheaper diet ? * * 2. Find the cost of setting out a forest of 10 acres with walnut, Duttir.g the trees 12 ft. apart, supposing the trees to cost #iS^ per thousand, and the labor of pfantLg 10 per cent, of fch o cost of the trees. -"""g lu 3. A commission merchant received a conmVnmo^* ^f puM^, one-naif of which he sold at 46 cents°a baliket and the rsi^ at 76 cents a basket. His commissfon 1^2^ perjjent a«ounted to iJ^ How many basketi did he IXBB0I8U nr AjaxsMMno, n 4. St. Thomaa u 81' 15' and Halifax «3* 36' West liongtitude. When it is 12 o'clock noon at St. Thomas, what is the time at Halifax ? 5. 10,000 cords of pine are used annually in the manu- facture of lucifer matches. Each cubic inch makes on the average 55 matches ; 50 matches are put in a paper, and db papers m a box. How many boxes of matches are made every year 1 6. How much is the freight on 1,847 bush, of wheat from London to Montreal at 13 cents per cwt. f 7. If a mau travel at the rate of a minute of distance in 10 minutes of time, how long wUl he be in travelling around the world ? 8. Six hundred and twenty-five-thousandths of a stock of dij7 goods worth $6,000 was destroyed by fire. Find the loss sustained by a member of the firm who had S share m the business. 9. A farmer gave 1,260 lbs. of flour, at $5.25 per barrel, and his note for $30 payable in 6 months with interest at 8 per cent, per annum, for a waggon. How much did the waggon cost mm 7 10. Find the cost of shingling the roof of a buildinc. each side of which is 36 ft. x 15 ft. The shingles are to be laid 4^ m. to the weather, and cost $2.25 per thousand. JN IS.— 4 in. IS reckoned as the width of a shingle, LXXXV. af on^ mi"er paid $73.50 for grain ; f of it being wheat at 90 cents a bushel, and f of it oats at 35 cents alushel ; vith the rest of tha money he bought peas at 60 cents a uushel. How many bushels of grain did he purchase ? 2 The gallon contains 277-274 in. How many bushels deep hold? '''• ^''^' ^ " * '" ''^*^®' ""^ * ^*- « i°" 3. For field culture, atrawl^rrlfj5 aie put In rows 3 ft. in. apart, and 1 ft. 6 in. apA>l in the row. How man? plants are required for an acre of ground ? I dO ■xsmotnM nr AsiTHBiiiTza 4. Canadian ooal oil la worth 26 cents a gallon, whUe Amenoan oil cost* 35 cents a gallon. It is found by actual expenment that a lamp filled with the former is consumed inl5 hours, but when filled with the latter lasts 20 hours. Which is the more economical ? 6. Two-thirds of my iourney was made by railroad at the rate of 25 miles an hour, and the rest by stage at 6 miles an hour. The time occupied in travelling was 3 trs. A3 mm. Find the length of my journey. 6. A farmer offers his servant $15 a month including board for a term of 1 year, or |27.75 a month without i^li ; he accepts the latter, and claims that he has saved f 7.50 by doing so. How much per week did he pay for board? N.B.— 52 weeks =1 year. 7. The contract of gravelling a road to a depth of 3 in., ajid a width of 8 ft. is let by the rod. What should be the tender of a man who can haul 6 loads of 1 cubic yard each per day, and who values the labor of himself and his team at $2.25 per day ? 8. At what price per yard must a merchant mark cloth, which cost 80 cents a yan', so that by reducing his price 10 per cent, he may still have a profit of 20 per cent. ? ,?\ The ice on a pond, whose area is ^ an acre, ia 10 in. thick. How many tons of ice may be taken from the pona, supposing a cubic foot of ice to weigh 66 lbs. ? 10. A man who can do as much work in 2 hours as his son can do in 5 hours, receives f 1.26 a day. What should be the weekly wages of the son f LXXXVL 1. The cost of preparing a field for wheat is J, of seed A, of harvesting T^, and of threshing and marketing X of the price obtained for the wheat Find the profit on every $100 worth sold. 2. How much in«H InnnKor ia vanniw^A f — 1 1__ ^ barn, sheetmg the roof and laying a double floor over the whole ; its dimensions being 60 ft. long, 32 ft. wide, and 18 ft. high, and the gables are 12 ft. above the eaves T wrBBoisis nr authitktio. a 3. A physician bought 2 lb., troy, of quinine at $2 25 ^r OB., and in dealing it out charged at the rate of a cent « grain. Find his gain per cent, on his outlay. 4. Bought a piece of dress goods for $12.96. There were as many yards in the piece as it cost cents per yard. How many yards did I buy ? 5. A man having a 10-acre field which is 32 rods wide wishes to divide it into town lots of | of an acre each. If a street 66 ft. wide is laid out the entire length of the field through its centre, what will be the frontage of each lot, and into how many lots will the field be divided ? 6. If equal quantities by measure of oats at 42^ cents, l)arley at 60 cents, peas at 75 cents, and rye at 70 cents be chopped and mixed for feed, find what the mixture is worth per bushel. 7. If equal weights of the above at the same prices be mixed, find the price per bushel. 8. Allowing toll at ^, in the last question, what would the mixture cost per cwt. ? 9. If the coal used for 2 rooms average 1 ton a week for 6 months, find the cost per hour, the rooms being open 6 da^rs in the week and 8 hours a day, with coal at 06.50 a ton. 10. If We temperature, in the previous question, aver- 4ge 70", T^hat vrould it cost to keep the temperature at 60* for 6 weets ? LXXXVII. 1. U f he regular fare on a railway is 3 cents per mile, but ^ if allowed off the full fare when return tickets are bought; find the distance between two places if a return ticket costs $1.80. 2. 450 leaves of a certain kind of paper make an inch of thickness. Find the thickness of a book 6 in. by 4 in. lu TTiuuu S.V a\^. yus. ui luc paper ai'u uScu. 3. A has $1,095, B, his brother in England, has £500. How many pounds should A receive from B in order that both may have t?>e same amount of money ? W ■XXBCIB18 nr ABITBMlTia a Lrt SnnwV ^"'''' ^}'^l ^ '""■ ^*- How much of ^ L'x "^^,^® Kiven to 5 in a quarter-mile race in order that neither may win ? " 6. A grocer mixed 40 Iba. of tea worth fift «♦» „ 7. A reaping machine moving at the rate of 21 mn« per hour goes along one side of I field of grain n I m^** cuttmg i of an acre. What width does th^e machinert'} .«5' i^i"*5 ^o ?®'^ V^ *^'®e "des, 40 rods. 24 rods and 124 yds. He wishes to use boards which iw! fe'i Thffif' riSt 'Tu' '^"y ^^«^"«»e sTdt'jxa^dy" go aroiU\\e Sffi^'^''^ ^^ -» "-' •"d how many w5i 10. William has $240 lent at 7* ner Mnf ,^« toter«t John luu, »?00 le„"i^ ^To Z^r« S rjcxxvm. ?7ll ;0 while the clock tiokB 720 times ? .Jl^*S1^'^® ^ ^®"*^ V^"*'® fi«W at 8i cents JmO. How ni»ny»or«« are there in the field? per cost $9 000 was .old at a profit of 25 ner cent. If ,t was sold for 10 per cent less tEan was asked for it, what was the asking price? H SO^odT'" '* '°"* *** **"*^ ' '^"*" !<>■"" fi«W ai 4. A farm contain. 120 acre.* Ita vi6t naes br mistake a yard measure, which is half an incK> .Wt^ how much too short will the customer find wJ S%t* when he comes to lay it I carpet IXBR01S1B n» ARrTHMBTIO. •A 6 Soldlera marchmj? in "quick time" take 116 paoea m a minute, the length of each pace being 30 in. ; how many hours of actual marching will be required to go from Toronto to Hamilton, if the distance is 760 yds. less than 40 miles ? ' fi j\u ^*"°? *■ 'V""*' *° contain 277 '274 cubic inches : find the number of cubic inches in a bushel. H a bin of wheat IS 5 ft. long, 6 ft. wide, and 6 ft. deep, how much wUl it contain more or less than 100 bushels ? 8. A farm worth $10,000 is rated by the assessor a. of its actual value. What amount of taxes will be paid on It at 2 milla in the dollar? ^ 9. A dealer buys certain articles at the rate of 10 for 9 cents, and sells them at the rate of 9 for 10 cents. Find nis gam per cent. .^°*T J?*°y ^**"®" articles must he handle in order to gam $19 1 c} t A "»n"facturer sells goods to a merchant at a pro- fit of 50 per cent., but the merchant fuila and pays his creditors 75 cents on the dollar. What per cent. wUl the manufacturer gain or lose on hia gjods ? A. K OAVBRHILL, Esq., Hioh School, Bisamsvillb. XOL 1. Reduce 233 lbs. 4 ot, troy, t, tons, cwt., qrs., lbs., etc. » -» » ♦ 2. On Tuesday at 6 a.m. there are 360 gals, of water in a well, and water flows in continually at the rate of 30 gals, per hour. At 8 a.m. on Thursday a pump begirt to work, and is worked each working day from 8 a. m. to 6 p.m., and the well is thus emptied at noon on the follow- mg Wednesday. How many gallons per hour are pumped out of the well? "^ *^ 3. The circumference of the fore whael o* a buggy is 11 ft., and that of the hind wheel 13 ft. In what distance will the fore wheel mahe 20 revolutions mor* than the hind wheel I IMAGE EVALUATION TEST TARGET (MT-S) k !" Ki |2.2 1.1 11.25 U 116 ^Sciences Corporation ^ V '^ <> 23 WCST MAIN STREET WEBSTER, N.Y. M580 (716) 872-4503 O^ % 6^ > M KXBBOI8K8 tS AXITHMXnV, find th« loot 4. Aflsuming that water expands A in freerintf . fin( ^i/r*Ji? * ^'"^ °^°*^ »* *h® ■am*' price. J makes a 20 per cent on his buying price. A'$ selling price is 6 cents per yard higher than B'». Find the ccit per yard 7. A merchant buys cloth at f 1.68, and sells at an ad- yance of 25 per cent. It is found ihkl his yard m^J?e IS 1/t m. too Hhort Find the merchant's ^in pSTent AiA'JSl^!:^^ ^^®' '^^"^'^ P*^*' * ~°°>» »f the paper S f if. 5 !!?*P- . ^^"^ ™*°y y"^« ^i" bTrequired if A 9. ^0 clocks indicate correjrt time at noon. One dock wins 3J mm., and the other loses If min. per hour When Will the minute hands of the two* clocks first be ai whar^Lrr °° oircuipference of the dial, and at ni^^nt '"®;;^*"* in selling sloth raises the cost price 20 per cent. It is found thpt the yard measure by which he which he sold an mch too short What is his gain per xon. 1. A reaper which wts 5^ ft. wide Is drawn 9 times around a 10-acre field, whos7 length is 4 timTus breaT How many acres of grain are left standing ? 2. The number o^ males in a reformatory in 1884 is 26 per oent more than in 1883 ; the number of females a 10 per cent. less, while the whole number of inmates ?n 1884 Sat ^'- '?nL™°?.n*^*" •" ^^^3 ; also the number of i^ mateB in 1884 is 140 more than m 1883. Find the num. ber of male iu»d female inmates respectively in 1883. ■XXE0X8X8 nr AXkXBMwno, 87 , S. A sidewalk IB laidarouTi^ a rectangular plot, with its w'ifti??f touching the side- of the piot, anS it is found that 160 *t.. less of the same lumber will lay a aiJewalk of the same width around the plot, with ita outer edre touch- uig the Bides of the plot If the lumber ia 11 i'i. thick, find the width of the sidewalk. * * 4 By BeUing 175 yds. of tweed at f 1.60 per yard a mer- chant gams $10.50 more than twice as much lu he would have lost had he sold it $1.20 per yard. Find the cost price per yard. 6. ^ and B dig a ditch 120 rods long. The soil at one end IS clay, and at the other end sand. If the whole of the ditch were sand A could dig the ditch clone in 30 days, and e in 24 days. If the whole length were clay A could dig tJie ditch in 40 days, and B in 60 days. ^ be- gins at the day soil, and B at the sandy soU t they to- gether dig the ditch in 17 days. What length c. the ditch was day, and what length sand t 6. A grocer bought 10 gals, of wine at $3 per gallon, and wishes, by buying inferior wine at $2 per gallon and mixing, to sell the mixture at $2.50 per gallon and gain 20 per cent, on his outlay. How many gaUons of inferior wine will he require to buy ? 7. A strean has a current of ^'mile per hoar. ^ in oars, man rows a certain distance down the stream in 60 min., when he returns and rows back to the place whence he started m 64 min. How far down the stream did he row 3 8. A lets ft fara to B for 1 year ; B to provide aU the seed and do all the work, and pay as rent ^ of the crop. A, hoirever, lends 30 bush, for seed. After threshing B draws away 120 bush. How much must A draw as an equivalent for the 120 bush., and also for the 30 bush, seed grain lent to £ t 9. 8 men and 3 boys complete a piece of work in 15 days i similarly 12 men and 6 boys complete the same in 6 days. How long would 9 boys take to do the work f l(h 'Kbrtie men A, B, and start from the same point at t>* same time and in the same direction around an isl»»d 73 miles in droumference. A travels at the rate of 88 tzB&oxsu or AuiHMina Lni^' V^^ S.^^^"*"®" P**' hour. When will they all b'^ gether at the point of starting ? / "o i* a S. STRATH, Esq., Colibciatb Institute, St GaTBA RINKS. xoia 1. From a cask containing 120 gals, of wine and Qfi r.f wf.f*H ^"'^^"^^y "drawn which contains if gah moro wiae than water. Hew much >yine remains in the S «ln«t''?''*'"^.v ^u^ many of the spaces on the dial of a p^sltm 2to n7 "*"' '^^ ''""^ '^« --*« ^nS 3. ^ runs at tl^e rate of 8 miles an hour. B at the r**^ of 7 miles an hour. How much of a start (n1imeW~^ give Bin a, mile race, so as to win by 44 yds. ? .f ta'"'® """P^^ interest on a sum of money for 5 months at 6f per cent, per annum is «2.12A more than fh« c? i can both together do in IJ day. ? ^ °' "" """I' _C. A boy haa a certain numbur of marblm H. i„. . of them and then win. 12 ,. he then Cjtf wS hTh J »d Jgau. ,.n. 12. He now ha, 92. howlSnjtd L^ i o|/aTri.5r Hf'ijt iiii':id"'t?i-s?n,ai^er: such a price that he gained ou al fil2 80 I? i ,p ** price of the third lot. *^^-^"- ^'""^ ««^^»ng »_^fi„«heau. 13S day. How n^, dl^'S'tl^^/^:!; I ft 4 a LOUM HI AUTMMina. 10. A man works from 7:15 a. m. to 1:30 p. in. mana- facturing certain articles at the rate of 6 in 12 min. He sella these at the rate of 10 cents per doien. What does he receive for them ? L J. BIRCJARD, M.A., PaD., Oollkoiatb Insti- TUIK, BRANTFO&Dk XOIV. 1. Find the G. 0. M. of 1 rod 1 (.q. p. 1 gq. yd. 5 gq ft. 22 sq. in., and 13 sq. p. 10 sq. yds. 8 sq. ft. 38 sq. in. 2. The driving wheels of an engine are 14 ft., and the front wheels 10 ft. in circumference, and the latter make 88 revolutions per minute more than the former. Find ^he rate of the train. 3. A farmer bought 150 ao. of land at $75 an acre • he ■°^? o/^' ? '• ?? P- *i *®^ "» **'>•«• and a lot 25 rods ion« and 20 rods wide at $1.20. At how much per acre musi the remainder be sold to gain $1,000 on the whole ? 4 A person having to walk a distance of 32 miles in 8 hours, walks at the rate of 3^ miles per hour <>ver the first half of tiie distance, and 4^ mUes per hour over the second halt. How much will he be behind time ? 5. A servant agreed to work a year for $216 and a wrtch ; at the end of 5 months his just due was $75 and the watch. How much was the watch worth ? 6. The earth taken out of a cellar 30 ft. long 20 ft. wide, and 6 ft. deep is bpread over A of an acre • how thick a covering will it make ? ' 7. A grocer bought 2,000 lbs. of sugar for $126 He sold * of It, giving 11 lbs. for a doliar. How many pounds should he give for a dollar in selling the remainder to irain 42^ dollars on the whole ? ^ 8. Tom has 25 marbles, Dick as many as Tom together with * as many as Harry, and Harry as many as Tom and J>ick. How many have Dick and Harcy ? .! ^i 90 ■MBCMM Xy ABITRICITIO. 9. Ho «e«»r« 10 a 6 in. lli!'lS\^ Z:!"^i TstVel^t the .um of th, leng °h.'"cj''Ja'i;:^gi7 '""" '""' » xcv. cloth will be required ? ^^ *"'' '""' """* 10hr..d.y,„d're.l!!,gTthri.'bbL't^r'"'^'''°"' many coins are there in all ? ^"* 4. The American eagle weighs 250 grainB FJ»^ i, many tons of cold it w«nM *„! x s™*V . '^^^^ l^ow worth ofV H VandrS !?^ *** *^"^^ ^" ^*'"« "^e «20O,0W,00b? '^anderbilt, who was possessed of about His income from the Srley wrfwice th^f 7 ^^!,^h«i«- andj^of that from the ^Zrk^:Z:^r,!:ZlXStl 7 ft ^1n.!'a nd^S'aT '^*""" ' ^^^ « '' »^ P- ^Oyds. value <>! 775 lbs. o7C Ib^e^otlrr^^^^^ 8. How many car loads of food do the peonl- of T mS r/h"'"' ***'^^' «"PP««"g the popuStioK be 5 Sk)"' 000, each person to require 2^ lbs!. Tnd each ^r to cTry ■XBBOUIB IH AmiTHMXTia •1 20 tons f How lonff a train would they make, and how many en|me8 woull it take to draw it. a oar being 30 ft. long, and an engine drawing 200 tons ? « • «.?' ^ ^r^^\ ^^J^I}7 consists of cash, stocks, and * I'- •S^^^^." *260 more than f of the whole, the stocks Zm less than I of the whole, and the notes $150 lew than 5ft of the whole. How much has he invested in 10. Two streets, each 60 ft. wide, are opened in each direction through a scjuare block of land containing 10 ac. Jind the cost of paving the street at 75 cts. a sq? yard : the cost of fencing the whole 9 blocks at 40 cS a rod and the value of the lot at $150 an acre ? H. S. McLEAN, Esq., High School, Ounton. XCVI. 1. A grocer sells a dollar's worth of sugar at 12* cts per pound, but he uses a pound weight which is 2 oz light. How much 13 the customer cheated ? 2. Divide 6740 among 10 men, 12 women, and 20 boya so that a man gets 03 as often as a woman gets $2, and a boy gets $2 as often as a man gets $6. v , «u a 3. How many cords of wood are there in a pile which covers § of an acre and is 6 ft. in height ? 4. How many minutes were there between 7-30 a.m Jan. 20th, 1876, and 10:30 p.m.. Mar. Isri877? ' 5. From 10 aa take 8 aa 8 r. 39 per. 30 yds. 6 ft. lUo in. . * 6. A woman sells a plate of butter weighing 12 lbs. This includes the weight of the plate, which waf ^ that of the butter. She buys 3 lbs. of tea at 50 cts. per pound, and has 30 cts. over. How much did she get for the butter per pound ? ftfi^in' W^ ^^ ^^;n°^. *^*. ^"^ ^2 lbs. of coffee for ^ ff l^^*f? """ ^I"^' /*«*'«"• P®' pound than the coftoe. Find the price of each per pound. ^ ixnunin nv AUTBiona nn?:-^* ^? °*"- ?®' *%' y"^ "^^^ ^^^ ** oo»t to P*>Bt the ,-. ^i.il*!'* "^f* ^"^'^ **'r^^ *■ ^ l^"- »<1- Pe' o*. what ni«S J*^"** of a lump of gold which balaiiS«i exaotlyk piece of iron, the weight of which is ^ a pound t Jan., 1888, to the 26th of March of the next year. XOVIL 1. 3 men can do as much as 6 women, or as 12 boys a^ri«i^r2%^ore"n'lTLV^^^^^ ^- '<> ^" anl2V"w'r%l^d«ic'j!!:l^^ * '^^^^ ^ '^ ^°-« w2;A?*°ij u*T* ^^•i'*!'- ^°' """^"8 a log into 6 pieces. hSf lA*'?'^** ^^ ^'^ P*".'** ^°5 «"**^"K » log twice a. thick into 10 pieces, supposing the wood in the latter to be I harder than in the former? *" oe 8 -„ffi .^^"A*^® ^'O"' »^ ?7.«) per thousand of inch lumber sufficient to make a close fence 40 rods long and 6^ ft ^ 5. By seUingborax at 6 cts. per oa. I make a profit of 20 per cent. What did it cost per pound ? ^'P™"**' 6. Bought 175 worth of sugar, and $144 worth of tev. ll 'J4 ■XXBOISEB IN ABITHUATia /, / 6 lbs. 4oz. of lard at 12 ots. per pound. 19th Sent -7 »*• ^ ?^S' ^^ ^*- u^ '"•.*" ^^'^e"^ requires 54 sq. yards 6. The population of a certain city increases A each year ; its present population is 34,660. Find the di^r ence between what its population ;a. two years 4o.^d what It will be one year hence. ^ ' wiS; ^ '««*7g»^a»'. farm containing 50 aa is 220 yd* t'e^^te^ori mSll^^LT^ *^'^ ^ ''^^ ~°'-^ ^ ** ■XJUMlbJM IM AUTBlUnCb % 7. ^ and B run » race of 200 yds., and A wini by 3 ^r* «r^ . ^ ^"" °^®'' '^® """^^ <«>""e and C wins by 2 yds. What start can afford to give ^ in a 200 yard race T ' 8. If 20 men do as much as 48 boys in a day ho^ many days wiU it take 72 boys to 6niah a work, 1 of whicli has been done by 30 men in 24 days ? 9. A horse is sold for $133, at a gain of 5 per cent • what selling pnce would give a gain of 25 per cent. ? 10. The quotient is 7,409, the divisor 728, and the re- mainder 19. If the dividend remain unchanged, what divisor would give a quotient of 5,419, having for remain-, rter l,Uoo i \ 11. A debt of $5,680 is due A, B and C. C is allowed 1-25 per cent, for collecting the debt. Of what is left A receives -35, B -28, and the balance. How much does each receive ? 12. A vessel has two supply tanks and one waste pipe. The supply pipe wUl fill the vessel with water in 6 and 8 mm. respectively, the waste pipe will empty it in 12 min The vessel is empty when the 3 pipes are onened in what time will it be filled ? f ** « "Penea , in 0. COUNTY OP LANARK PROMOTION EXAMINA- TION. 1. Simplify 7,643x3-804x4x 1 + 7.632 x2x 2-8,416-5-7+4,247x8. ' 462 X 2. If ^ pays $572.33 for a plot of ground containinc 1 aa 3 ro. 13 sq po. 10 sq. yds. 103 sq. in., what will B have to fxty for 1 ac. at the same rate ? 3. A G.T R. train, in lOJ hrs., runs from Toronto to Montreal, a distance of 333 miles. It stops for 5 min at each of 18 stations. What ia the rate of train when travelling 2 ^ !*« '^^^V^® 1540 among A, B and O, find give A $3 and C|8aaoltoua8£geUf4 * M ■wani ri M a amtbmmbo. 6. Mr. Brown bought ft number of barreli of appltiB for 1270, and sold them for $300, thereby gaining 76 eta. » barrel ; how many barrela did he buy, ftnd what did it ooBt him a barrel ? 6. How many aq. feet in the walls of a room 24 ft. long, 20 ft. wide, and 14 ft. high ? Find the cost of painting the floor at 6^ ots. per sq. foot. 7. Distinguiah between a Common Measure and the Greatest Oommon Measure. What b the smallest sum of money with which I can buy pigs at 96 each, cows at f 27, or horses at $106 ? a A man bought 120 ac. of land for $7,800. He sold 30 ao., gaining $10 per aero, and on ^ the remainder he lost 816 per acre. Find what the remainder must be sold for per acre in order that a gain of $300 be made on the whole transaction. ' OL COUNTY OP BRANT PROMOTION EXAMINA- TION. 1. Define Greatest Common Measure or Divisor, Least Common Multiple, Decimal Fraction, Compound Frac- tion, Complex Fraction. 2. How much cloth will be required to make 6 coats, 2j yds. each ; 7 waistcoats of f yd. each, and 16 pairs of trowsers, requiring Ij yds. 1 in. each? 3. How many boxes, each holding 90 lbs., will contain I ton 13 cwt. 2 qrs. 10 lbs. ? 4. How many yards of carpet 3 ft. wide will cover the door of a room 36 ft. long and 27 ft wide ? 6. What will a farm cost which is 320 rods long and 80 wide at $60 an acre ? 6. Find the greatest number of which 334,495, 106,260 arc multiples ; and the least number of which 26, 33 39 44, are divisors. * ■URoisxH ur A&inuuma VI 7. If 3 duokB are worth 4 chiokeni, and 3 geese are worth 10 duoks, find the value of a gooao ; a pair of ohiokens being worth GO ota. 8. A person bought, two horses and a wagon for 9210, and he paid for each horse twice as much aa for the wagon. What did he pay for each horse 1 9. Find the result of f+fy+J and of H + 2f + 3^+*^- 10. A does J of a certain work, and B ^ ot it; U finishes it how much will he do ? ONTARIO BDDOATION DEPARTMENT EXAM- INATION PAPERS. DioxMBUi, 1881. 1. Divide three hundred and fourteen and om hundred and fifty-nine thousandths by eight thousand nine hundred and thirty-seven ten-billionthi. 2. Divide the difference of 13|-^f (2«-2A)x lit and {13K(2f-2A)|xlfbyl3K2f-2Axlf 3. Find the amount of the following bill in dollars and cents, the shilling being worth 241 eta. :— 115 yde. Brusaela carpet, at 5s. lOd. ; 95 yds. Dutch stair, at 2a. 7d. ; 84 yds. Kidderminster, at 3i. 7d. ; 72 yds. druffset, at 28. 8d. ; 10 dot stair rods, at Sa. 6d. 4. Load weighs 11*4 times aa much aa water, and plati- num weighs 21 times aa much as water. What weight of platinum will be equal in bulk to 66 lbs. lead t 5. Find the difference in cost between 200 ft. of chain cable, 76 lbs. to the foot, and 600 ft. of wire rope, 18^b8. to the foot, the chain costing 15s. 6d., and the rope oost- ti\g 23b 6d. per owt 8. By selling tweed at 12.60 a yard it was fonnd that f of the cost was gained ; what selling price would hav* gaiiMd -7 of the ooat t Vo BXEBOISM XV ABITHiaiia I ^1,.A,P'?*® of copper 6 a 6 in. long, 3 ft. wide, and I In. thick, u rolled into a aheet 4 ft. 6 in. wide, and 6 ft. long. Find ifcfj thickneaa. xv?*, °°« ?"*"y ^"°^'' ® '^^' '°"fif» ^l *«• '^'c'*. and 4 in. Uuck, will be required for a wall GO ft. long, 17 ft. high, and 4 ft. thick, allowing that the mortar increasea the bulk of each brick ^ t 9. A grocer gained 20 per cent, by selling 10 lbs. sugar lu' « -■^*^*^'''^*"*d8 he increased his price, giving only 9 lbs. for $1. How much per cent, did he make at the in- creased price } JuNX, 1882. 1. Define Greatest Common Measure. State the prln- wplo on which the rule for finding the O.O.M. of two numbers depends. Find the O.O.M. of 68,690,142, and 85,054,059. 2. A dealer bought 8 carloads of lumber, each contain- ing 9,870 ft., at $13.50 per M. He retaUed it at $1.43 per 100 ft Find his gain on the whole lot. 3. Show that |-f, and that |-r|=iS. Simplify the following :— 26i-iH ^ t+H-^oti^ofl-i^U 62r 4. Prove that 2-3x •04- 092. Add together 154-2125, 5421, 0001235, 741-206. -OS. and 4667 0004. Reduce 76.0126 cwt. to ounces. 6. A steamer makes a nautical mile (6,072 ft.) in 3 min. 60 sees. Find her rate per hour in statute (common) miles. 6. There ia a aolid pile of bricks which la 36 ft. loqg, IJ^ft- ^6 in. wide,, and 14 ft. 6 in. high, and contains 122,496 bricks of uniform size ; each brick is 9 in. long and 4| in. wide : find its thickness. 1XBRCISX8 IN AKXTHMETia 99 PoIj- * 1^2? ^"^7™?'^°^"* transmits £250 lOs. through Paris to New York; if £1=24 francs, and 6 francs = iTii ;u "°u" °""e?cy. what sum in American currency will the merchant realize ? mi?e r^"/I?f °^ a country the scale is ^ of an inch to a iWri;!^ S 'u^ represents a mile), and a township In fn^.i? w** °" ^^'^ "^P ^^ * ^'l"*'"^ whose Bide is half an inch. How many acres m a township ? 1 *• "^^if .?!", **'«^ ^^^^ <'»" 'Jo a work in 8 davs how long^ will It take 8 men and 4 boys to do such T^eoeZ enJv of 2fm7J^ ««didate8 for election in a const . ency of 2,700 voters. The votes polled by A were to ^o^Xl^^"" ^ *" 2^' *"^ ^ was^lec^edV• majority of 100. How many persons did not vote t DXOBMBGR, 1882. eaJh Sep™ ^^ ^^' ^* «Plaining clearly the reason for find brother. ''^- ^"* °^ *^« *»"°^ber8 i« 9,402 ; 3. Find the L.O.M. of 11, 14 28 23 9 ka ao ai and the G.O.M. of 40,605, 124,083. ' ' ' ^* ®^ ' 4. Prove that I of 1=^ of 8. Simplify -illPli *of l+f of 6 "^ A + /jol3i -(J of if-i)-— 9jri|- ft. PiroTe that 1 •0264-05=20 -5 ooet "^^"^^ ^^° '' ii2 i^ -ug-r. when •0703125 of I63. Bedoce KlU 46,740,108 sq. inches to aoreib 100 BZBBOUIS W ASITHBOna 7. The bottom of a oiBtern is 7 ft. 6 in. by 3 ft. S ib. Hovr deep must i'. be to contain 3,760 lbs. of water, a cubic foot of water weighing 1,000 oz. ? a A runs a mile race with B and loses ; had his speed been a third ereater he would have won by 22 yds. Find the ratio of A'» speed to B'i. 9. A does f of a piece of work in 6 hours ; B does | of what remains in 2 hours ; and G 6nishes the remainder of the work in 30 minutes. In what time would all workinff together do the work f '^ 10. By seUing tea at GOctjt per lb. a grocer loses 20 per cent ; what should he sell it at to gain 20 per cent. ? Juki, 1883. 1. What is the Object of Division f Write down the /elation connecting the Divisor, Dividend, Quotient, and Remainder. ^ Divide 108,419,716,001 by 18,748,005. a. Find, by " casting out nines," whether the foIlowin<» is correct :-349, 751 x 28,637 = 10,015,819 397 '*'"°« Knd the weight of 500,000 bricks at 4 lbs. 2 oz. each and the cost—in dollars and cents— at 27a M IT!^!,' allowing 4s. 2d. to make a dollar. ' ^^ 3. A merchant received from England the following in voice in sterling : — ^* 375 tons iron plates, at £8 15s. 6d. 107} tons bar iron, at £11 14s. 10 tons bulb iron, at £10 10s. 17 tons T iron, at £15 10s. 48 tons steel, at £18 7s. 6d. 15 tons rivets, at £11 Is. ?A*Hif"u"n- ^'L*^- '""l^'Z^ »" Canadian currenc allowing the shilling iterlmg to be equal to 24} cts. ' 4. At $1.75 per rod, what will it cost to fence a niA. . »f land «3.5 rods long and 27'76 rods wide f ^ 5. Simplify:^ 61 277 24 5040 72676 ;:; and 4i^+6-^l-2-6 4i^ of 32 of .45 ■rraoisM nr AaiTHianM. 101 6. Qnnpowder is composed of nitre, eharooal and sal- phup, in the proportion of 16, 3, and 2. A certain qian- tity of gunpowder is known to contain 20 cwt of charcoal ; find its weight, and also the weight of nitre, and of sul- phur it contains. 7. Bought 360 gals, of wine at $2.60 a gallon ; paid for carriage $17.20, and for duties $86.50. If A of it^be lost by leakage, at what price must the remainder be sold to gain $50 on the whole transaction 9 8. Find the interest on a note for $257.81, dated Jan. 3rd, 1883, and paid April 6th, 1883, at 8 per cent, per annum. 9. The length of a second's pendul um is 39*37079 in. ; if 64 French metres are equal to 70 yds., by what decimal of an inch will the length of a second's pendulum differ from one metre 9 10. At what time between 4 and 5 o'clock are the hands of a clock (1) coincident, (2) at right angles I DKOBlfBBK, 1883. 1. Multiply the sum of 69,404, and 47,675 by their difference, and divide the product by 7 x 13 x 19. 2. Bought oranges at the rate of 10 cts. per doa., and sold them at the rate of 6 oranges for 11 cts. How much did I gain on 11 boxes, each containing 20 doa. T 3. A man bought a rectangular field 40 rods long by 26 rods wide, paying therefor at the rate of $300 per acre, and then had it fenced at the rate of $1.50 per rod. Prove that the land cost him exactly ten times as much as the fence. 4. Divide $1,200 amons; J, B, and 0, so that A may have $70 more than B and twice as much as 0. 6. Divide the sum of | of 8\ and 21 of 6ft by the differ* enoe between ^ of 3^ and J of J of 2 J. 6. Add together 1-302, 3-2589, and 4093. Multiply the sum by -00297, and divide the product by 90-09. (Decimals, not vulgar fractions, to be used in doing the work, otherwise no oMrks to be iJlo-ved). 102 •XBROISBS Mr A&ITHMBTia 7. A farmer sold a load of hay at $16.25 dop ton • ♦!.« whole weight of the waggon and^hay ^^2,875 lbs ' Se waggon alone was foand to weiah 1 083 Ih- H«i * t did the farmer receive for Wrhay ? ' ^°'' """"^ 8. A can run a mile in 5 min., B can run it in 6 min other two finish the work in 5 days more How mnl „? the work did the first man do before he fell ill? °^ 10. Find the interest ou $275.80 for 91 days at 7 ner cent, per annqm. '■ •" • P^r JuNi, 1884. AihA'^A ^"°*J«"* *■ 12434, the remainder 2763. and the dmdend eighty-seven millions nine hundred and eleven thousand one hundred and twenty-three. Find the dfvisor 2. Find the L. 0. M. of 11, 7. 21 28 22 9t fti oa9 216 ; and the G. 0. M. of 94605 and 96509 ' ' ^^^' 3. A sidereal day is 23 hours 56 minutes, and the mean soxar day is 24 hours. Reduce the difference between th« two to the decimal of a sidereal day. "^'^e®" t*»e 4. Simplify (2) Ao^*«ttinea-j^ofa£ 8s. iojl (ilf^L^^^^^^^ -igi^« — ^ The deaJer paid 34 cento . bushel for the oats, and sold them at 42^ cento a bushel How much wi his g^Sf 6. A plate of metal J inch thick was burnished on one side for Us. 6jd., at 2^. per square inch. Find the '^^*? «« . *i® P^**®» •apposing » cubic toot of the metal to weigh 62^ Ibt. " ■UBoisis nr ABiTHiima 103 7. A, B, and (7 do a work in 12 hoan ; A and B oan do It in 16 houi-s, and A and Cin 18 houra. In what time oan each do it separately ? •n /° *"ny» in Jt" firat engagement, 1 st 1 in 10 in killed and wounded, and in its second engagement 3 in 25 of the remainder; there were then 3960 men left. How many men went into the first engagement t 9. Find the duty on 8 hogsheads of sugar, each weighing 1200 lbs. gross, at If cents per lb., 16% being allowed for tare. 10. (1) Find the interest on $225.40 for 16 months at 8% per annum. (2) The amount of a certain principal was $307.20 for 3h years, and $312 for Sf years. Find the principal and the rate. OXOBMBEB, 1884. L Of what number is 8,967 both dinsor and quotient 1 2. Find the greatest number that will divide 11,067 and 36,602, leaving as remainder respectively 17 and' 21. 3. Find the amount of the following bill :--12i yds oassimere at $2.75 per yard ; 18^ yds, silk at fl.l7 • 231 yds. flannel at 37* cts. ; 112 yds. print at 9J ots. ; 66 ydiC shirting at 17* cts. ; 37* yds. tweed at $1.12. 4. Simplify (a)6*+2Hllfx7H $18.64 $1.16|' W {txAxO-02xO-456}+Jf off. 5. The cost of carpeting a room 15 ft long, with oaroet 27 in. wide costing 90 cts. a yard, is $22.50. What is the width of the room ? 6. A boy can do a piece of work in 4f days, and a man can do the same in f oi the time. How many days will both working together require, to do five times tbi amount of work ? 7. How much water must be added to 92 gals ot brandy worth $4.60 a gallon, in order that the miztora may be worth only $3. 60 a gallon 9 UM UBBOISM Cr A M t HMl t lU . 8. Find the simple interest on $275.60 from 18th July, 1883, till 13th Sept., 1884, at 6 per cent, per annum. 9. At what time are the hands of clook exactly 2 min. space apart between 4 and 6 o'clock t Juki, 1886. „J:JS5fft?t!2^°*''^* :— 17089668-005904, $705 637, and MDOOCfliXXXV. t. Simplify :- M3J+9H):+ A'of -^~i. 3. Find the yalae of 17*664+4-^35 + 6*408. 4. Make oat a bill of the following! goods :— 23 yds. cotton at 11 cts. ; J3 yds. gingham at 23 cts. : 26 yds. flannel at 37 cts. ; 18 J yds. tweed at $1.60 : 12* yds. serge at $1.76 ; 6 J yds. broadcloth at $4. 60. 6. A merchant purchases sugar at $7.60 per cwt. ; at what price per pound must he sell it in order to Min 10 per cent f 6. Find the simple interest on $167 for 3 yrs. tf mus. at 7 per cent per annum. 7. In what time will any sum of money donblo itself at 6 per cent, simple interest f 8. $1,200 is to be divided between two persons, A and B, so that A*i share is to B^a share as 2 to 7. 9. At what twe times between 3 and 4 o'clock are the hands of a watch equally distant from the figure III. f la A man having $720 spends a part of it, and after- wards received 7^ times as much as he spent ; he the» had $1,305. How much did he spend f Deobmbbb, 1885. 1. Define the following terms :— Factor, Prime Num. ber. Multiplication. Write down all the Prime Factors ci 2,310. EXERCISES IN ARITHMETIC. ion 2. (a) Reduce to simplest form :— iV^gV (6) What is the least number from which 1224 and I-/56 may each be taken an exact number of times ? 3. A man who lost J of his fortune in one year, and 4 of the remainder the next year, had |900 left. Find the amount of his fortune at first. 4. What quantity taken from 159i will make it exacti\ divisible by 12f ? ' 5. Express 3 74976 minutes as the decimal of a week, 6. What wUl 11,750 ft. of lumber cost at ^27.50 pei thousand ? '^ 7. Name the units of length, time, and sterling money. 8. Find the simple interest on $800 for 3 yrs. at 5A per cent. 9. A cistern has three pipes ; the first will fill it in 10 hrs., the second in 12 hrs., and the thi-d in 15 hrs. In what time will they together fill the cistern ? July, 1886. 1. (a) Multiply the mm of forty-eight thousand six hundred and thirty-nine and thirty-nine thousand five hundred and thirty-seven by their difference,&nd divide the prodtict by sixty-four. (6) The product of four numbers is 827658432 ; the first number is 12, the product of the second and third is 144 ; find the fourth. 2. Make out a bill of the following articles:—! piece of flannel, 28^ yds., at 68 cts. a yard ; 35 yds. of calico, at 15 cts. a yard ; 3J doz. pairs of stockings, at $2. 10 a doz • 7 pairs of gloves, at 90 cts. a pair ; 12^ yds. Irish linen,' at ^1.12 a yard ; 4 pairs of muslin curtains, at $4.20 a pair. 3. What will it cost to fence a lot of 49 ft. fror t and 180 ft. depth at $1 16 a foot ? 4. (a) A horse worth $170 and three cows worth $30 each, were exchanged for 14 calves and $82. Find the ralue of a calf. 106 BXRROISES IN ARITHMRTIO. (b) A farniorsold ,ui aimxl number of hordes, cows. and calves receiving $imo for the whole. Valuing a horse at m, a cow at $;37, and a calf at $12, find the number of each. 5. (a) What sum of money will produce $300 interest in 2^ years at 6%, simple interest ? nf J^Lt^ ^^'^^ r^^^P!" *'*'"^-' ^""P^« interest, will a sum of money amount to 3 times itself in 26 years ? have $60 more than B, and twice as much as G. 7. 5 men can do a cettain piece of work in 20 days • aftjr working lo day. tlicy are joined by another man. and the whole work is completed in 19 days. What frac- tion of the whole work is done by tha sixth man ? 8. In a 440 yds. bicycle race A can give to B 20 vda star , and to 30 ydrds. B and G ride a 440 yards race starting even. By how much does 5 win ? December, 1886. 3. If a road is four rods wide, how many miles of it will make ten acres ? *• /j^? ^^^, ^®®* '''"S and 100 feet wide is to be sur- rounded by a close board fence 6 feet high ; what will the boards cost at $12.50 per thousand feet ? «oL^ ^^T®'' bought a number of hordes and cows for ^2m>. There were three times as many cows as horses. . lo^^l^ '^'^^^ *"'*'® ""^ """"^ a^ a cow. If each horse cost ^80, how many cows did he buy ? xt-\^i™*x,!?^^ * ^^^'^"^y ^^ ^^00 a year and has 8500 in the bank. If he spends $500 a year, in what time will hia money be all gone 1 7. What will a dollar amount to in 3 years 219 dava ai 7 J pep cent per annum ? ' '^ BXBKCISES IN ARITHMRTIO. 107 K A man borrows $900, for the use of which ho has to pay $3 a month j how long will ho have had it when the interest ia 50c. on every dollar borrowed ? 9. A dealer sold an article for $8.10 and lost 10 per cent. ; at what selling price would he have gained 10 per cent.? 10. How can you tell, without actually dividing, whether a number can be divided by 9 without leaving a remainder ? 11. If a cow gives 12 qts. 1 pt. of milk every day, and 1 lb. 8 oz. of butter can be made from 25 qts. of milk, how many lbs. of butter can be made in one week from the milk of 16 cows ? 12. A man bought a quantity of tea supposed to be done up in packages of 1 lb. each, for which he was to pay $64 ; on weighing them, however, it was found that each package was 1 oz. too light, liow much should he pay for the tea ? July, 1887. 1. What multiple of 595 divided by 595 gives as quotient 595? 2. Find the least common multiple of $2, $3, $4, 85. $10, $20, $50, and $100. 3. A man owns f of f of ^^ of an investment ; on sell- ing f of his share, he finds himself worth $100 less than before ; what is the value of the whole investment ? 1 4. Change Aofj4- 3-}-+ *oa simple fraction. 6. What principal will amount to $840 in 5 years at 4^ per cent. ? 6. If 1 pound of thread makes three yards of linen IJ yards wide, how many pounds would make 46 yards of linen 1 yard wide ? 7. A man sold 2 farms for $3000 each ; on one he gained 20 per cent., and on the other he lost 20 per cent. Did he gain or lose on the whole and how much ? lAill '/ 108 ■ZEROISES m ARITHMRTIO. S. If a garrison of 1000 men have provisions for 12 months, how long will the provisions last if at the end of '^ months they be reinforced by 500 men ? 9. A merchant sold a piece of cloth for ^24 and thereby l<.8t 20 per cent. What per cent, would have been the oain had he sold it for $34 ? December, 1887. 1. Ten cents will buy 3 oranges, 4 lemons, or 5 apples ; how many apples are worth as much as 5 doa. oranges and 7 doiB. lemons ? 2. A man can run 100 yds. in 10 sec. How many miles will a steamboat go in 5^ days at the same rate ? 3. Find the interest on $150 from the 16th July to the 9th of December, At 5 per cent, per annum. 4. A person borrows money for 6 years at 3i per cent and repays at the end of the time, as principal and inter- est, $847 ; how much did he borrow ? 6. A map is drawn to a scale of half an inch to a mile how many acres are represented by a square inch on the map I 6. One workman charges $3 for a day's work of 8 hrs and another $3.50 for a day's work of 9 hours. Which h id I better employ, and how much shall I have to pay am for work that he can do in a fortnight, working 6 liiursaday? * 7. Water in freezing expands 10 per cent. If a cubic f. ot of water weighs 1000 oz., find the weight of a cubic 1 Jot of ice. 8. A merchant bought 1000 yds. of carpet at 60 cts a yard, and sold two-fifths of it at a profit of 30 per cent one half at a profit of 20 per cent., and the rest at a loss of 20 per cent. How much did he receive for the carpet t 9. A piece of land is surrounded by a stone wall 8 ft. high and 2 ft. thick ; the land inside the wall is 100 ft long and 50 ft. wide. How many cubic feet of stone does che wall contain ? / SXBROIBRS IN ARITHMBTia 109 10. A. honse and lot are together worth |2100 ; one> fourth of the value of the house is equal to one- third of the value of the lot ; find the value of each. 11. A cubical cistern is 6 feat deep ; how many gallons of water will it hold if 277*274 cubic inches make a gallon ? July, 1888. 1. Prove the rules for division (1) of vulgar fractions, (2) of decimals, using as examples ^-i-^ and '012 -^ '6. 2. A produce merchant exchanged 48-| bushels of oats at 39| cts. per bushel, and 13| barrels of apples at $3.85 a barrel, for butter at 37^ cts. a pound ; how many pounds of butter did he receive ? 3. A train going 25 miles an hour starts at 1 o'clock p.m. on a trip of 280 miles ; another going 37 miles an hour starts for the same place at 12 minutes past 4 o'clock p.m. ; -./hen and where will the former be overtaken ? 4. If in a certain town $3093.75 was raised from a |% tax, what was the value of the property in the town ? 5. By selling my cloth at $1.20 a yard I gain 11 cents more than I lose by selling it at $1.05 a yard ; what would I gain by selling 800 yards at $1.40 a yard ? G. How many thousand shingles, 18 inches long and 4 inches wide, lying ^ to the weather, are required to shingle the roof of a building 54 feet long with rafters 22 feet long, the first row of shingles being double ? 7. A farmer employs a number of men and 8 boys ; he pays the boys $.65 and the men $1.10 per day. The amount that he paid to all was as much as if each had received $.92 per day. How many men were employed ? 8. A field, whose length is to its width as 4 to 3, con- tains 2 a. 2 r. 32 rods ; what are the dimensions ? 9. A man having lost 20% of his capital is worth exactly as much as another who has just gained 15% on his capital ; the second man's capital was originally $9000. VVhat was the first man's capital ? 110 f?fBac'I8ES IN AHlrMMETia JC/LY, 1889. 1. A bua'iel of wh-'at weitrhs 60 lbs ami a. >,a,.««i « fl.,ur weighs lou lb.. If 3 L. „f St ™ak"e 2 te o tJ,: i "!^J '^ together and walk in the same direc jroe, UcW. How .an, mUe. w1iryh1rg„i'"whr"h^ A i ,^6 circumference of a wheel is V of its diamflfflr • I. i town, whose population was 10000 iner«ftafi,i in nch. On this map the Township of Scott measures 1 A ltm:^S ^"' ^* ^"^'^ ^^ -^^^^- HorrnTacrS -,I"vJ^"*\'*'''^"."®**'y *^« following? statement of sIt wt f'l?^ "'^P**' *^d *h« «™«»nts ve^fcallv and aX your rts^l.^-!^ *'^ ''^"-^"- °^ *^e -^^ bj MOQ. Tue. Ist. «28.79 2uii, 23.87 3rd. 16.99 4th. 29.13 5th. i8.47 6th. 19.02 Totl Wed. $34.71 30.03 27.09 33.72 32.29 27.06 $35.33 29.38 28.77 30.81 2S.73 ".3.04 Thur. $30.10 33.84 30.16 3917 34.45 29.89 Fri. $27.97 26.77 24.95 28.47 28.88 29.51 Sat. Total. $47.81 48.77 43.07 50.05 54.39 61.93 BXERMSRH IN ARITHMETTO. lH 8. rf for 67 T cm liave the uao of $:\o for 3 yrs. 4 moo 9 It is required to build a aidewalk a quarter of a mile in length, 8 ft. wide and 2 Jnohes thick, supported bv lllf!vf'*?**"u""' '"'"' "^ scanlhug 4 inches square. What will the lumber cost at U7 per thousand feet ? July, 1890. .A ^^'**"/^"'^" t^e following statement of six weeks' cash receipts ; add the amounts vertically and horizon- your'resdts^-'''" ^^•'rectness of the work by adding Mon. Tue. 1st. 2iul. 3rd. 4th. nth. 6th. Totl $(i5.95 58.71 47.58 29.69 81.45 42.63 $24. 89 41.65 99.57 70.80 56.93 68.77 Wed. Tliur. $7979 24.67 60.60 87.91 54.82 81.79 840.78 94.26 80.71 74.93 96.57 60.86 Fii. $37.69 70.26 91.82 36 63 12.72 31.87 Sat. $89.61 42.51 89.76 21.90 96.67 75.82 I r I Total. 2- ^ W'a age now is one-fifth of h.s father's. In six dd?s he7 °''®"^^*'^^ ""^ ^'^ ^»**»er'8 present age. How 3. Some Atlantic liners consume 200 tons of coal per i^l'AJ.L^^^'"'^^ ® ***y* °"^ *»d 8 back. In case of accidents they carry a supply for 4 days extra. How many cubic yards of the hold of such a steamer will be uccnpied with coal for her round trip if each ton is 33 c'li !c leet I In a factory 12 men, 16 women, and 30 boys are employed. At the end of a week they receive $330 00 ™u" "J**'"^ as much as two women, and a woman aa much as three boys. What is the share of each ? ««^i,f"?T®'';7*^°M?Pf*'P®'^*y '«*»8e8sed at $9600, pays Z^^%if ^ "^'l' ^°" township rates, ij for county rates U for railway bonus, and 2^ for school rate. How much does he pay in all ? 113 i!XBRcrss;,s in amthmetio. 6. Oil June 29th, 1890. I borrow $16.50, to be interest at 6i returned per cent., what April 30th, 1892. With amount must I then pay ? 7. In what time would a field, 80 by 60 rods, pay for anderdrainmg lengthwise, at 2 cents per foot, if the field yield 2 bushels, at 66 cents, per acre more than before draining? The drains are 4 rods apart, and the first dram runs down the centre of the field. 8. If 18 m«n do f of a piece of work in 30 days of 10 hours, m what time should 15 men do the whole, working 9 hours a day ? * 9. Two men start from the same point at the same time to walk in the same direction around a block of land 1* miles on each side. A goes at the rate of 4 miles and B 3 miles an hour. How £ar will A walk before he over- takes B f REVISED AND ENLARGED EDITION KIRKLAND AND SCOTT'S ELEMENTARY ARITHMETIC. PRICE, 30 CENTS. Tho Publlshcr.s liave inueli plcasuro in calling tlie attention of Teaclicrs, Tarents and Educationists to tlio, New Edition of Kirkland and Scott's Arithmetic. The new edition of this popular arithmetic has been greatly enlarged and improved. Attention is directed to the followinf,' iwints : (1) It is printed in Larger and Clearer Type with wider sp icings, thus rendering the appearance of tho patjes much more attracti\(', and it ia lioped preventing the injury to the eyesight which often results from the use of the small type in which many of our school books are printed. (2) More than Fifty Pages of New Matter have been added. (3) It has been thoroughly revised by the authors. To every chapter additional exercises have been added. Illustrations and diagrams have been introduced, which will improve and simplify the teaching of the dliTerent subjects. This is more especially the case in fractions. (4) The part which treats of Commercial Arithmetic has been rewritten, enlarged and systematized. (5) The short chapter on Measurement in former editions has been superseded by a New Ciiapter on Mensuration with diagrams in- dicating the method of teaching this important subject. (0) There has been added a Ciiapter on tlie Metrio System with illustrative examples, exercises, and easy methods of changing Metric Measurements into those in present use. Attention is directed to this chapter, as a committee of British House of Commons has recommended the introduction of the Metric System into Britain during the ne.xt two years, which, if adopted, will be followed by its introduction into this country. THE w. J. aAOB 00. (LTD.), Sdnoational Publisheri, TORONTO. The W. J. Caoe Co.'s Publications. THE PUBLIC SCHOOL ALGEBRA ON TUB INDUCTIVn MBTHOD BY C. CLARKSON. B.A.. Prln. Coll. Institnte. Seafortli, Ont. and a lone fA ^ w\' -"n o? ^"^^^ edge of aritlimetic is a sufflcieiit bal s The guiding principles of the book are these: 1. Follow the line of least resistance. 2. Seek practical applications ft-om the beginning. 8. Connect arithmetic and algebia as closely as possible. 4. Introduce simple tests of accuracy wherever possible. 5. Avoid all difficult examples. «. Grade the steps very carefully. '• '*u3;i:/aSus''fS?ml '"'*'' ^"'^ «""* "P'"'* *»«« "«"«« We» **• ^t^lL^ attention to the traditional order of introducinir th« iX sta?l!*"* *•*" "'"'*" ""*• *'«*■*»«"« a» SifflcuTtief to I '• '"aWtyV*Ss"tiLsf '""''""'' ^^''•"P'^^ ''«''t«"»«"«f • '•<"• usuffiv ^ivmi In li^* ^el\^- ^^^^ ^^^y P'^^fS Contain as nincli as is Short Clear Hints and Suggestions trom malting unnecessary sacrilice of time wer I ard no lems ™ Tliere la no oth<>r book that ctm HvtI Hic P;,i M '^ i , I ,' . the ^(Jth CENxSRf " " ^^ ^""""^ '■*^"" ""^ ^° "'« lequiremenia of wherever Sffie"**^' Original. Helpful, and will win Its way "W". J. Gagis & Co.'s Publications. ga ge's Practical Speller. A Hthnrized by the Council of Public Instruction, Quebec Columbia Ja used largely m Vie Province of Nova Scotia. A scries of graded lesaous suitable for high and public schools, with words m general use, with abbreviations, etc., words of similar pronunciation and different spelling, a collection of the most difficult words 111 the English language, and a number of literary selections which inay be used for dictation lessons and committed to memory by the pupil, topr-ther with Latin -nd Greek roots, affixes and prefixes most frcqaeu-c. found in the Public School Reader. 100th thousand. Price 30 cents. THE old-fashioned Spelling book has been discarded by teachers gen. erally. Many valid objections were properly urged against its use and it passed away. Entire dependence upon oral spelling may also be fitly styled a method of bye.goue days. Unfortunately for the old spelling book, it was asso- ciated with all the folly and weakness of "oral spelling," and this partly accounts for its rejection. ' What hav< the reformers given as a substitute for a speller? Thev took our bread &vj\ have given in return but a stone. The bread, even though a little stale, was much more ^vholesome than the stone. In Can ada, parts of the lessons to be found in the Readers are taken as dictation lessons, and the pupils arc turned loose on society to shock it by their bad spelling, and disgrace the schools which they attended and in which thev should have been taught. The Readers do not contain all the words bova and girls >vill have to spell in life, and if they did. the le8.son8 are not arranged in proper form for spelling lessons. Only a comparatively smaU portion of the Readers can be written from dictation in school. Bad as were the old spellers they were Infinitely better than nothing. This fact *s now recognized in Great Britain and the United States, in both of which countnes many valuable spelling books have recently been issued. That these were necessary in England is clearly shown by the fact that at a recent Cml Ser%nce Examination "no less than 1,8G1 out of 1.972 failures were caused by bad spelling." *"urea A practical dictation Speller Is clearly a necessitv. and this work haa been prepared to supply an obvious want in the prolamine of Canadian schools. The claim tothe name "practical " is baaed on the fact that it la not a more collection of thousands of "long-tailed words in osity and ctton, but contains a graded series of lessons to teach the pupite the proper spelling of the words all have to use. Thk W. J. Gage Co.'s PrnLic-.TiONS. Gage^s Practical Speller. A. superior little work. Tlic " Practical Speller " is a su- perior little work, aud should find Us way into every public achuol. Jne plmi is ingenious and lor aught I know may be original.— i\ ^\ Cakson, Inspector P.S., otrathroy. Jnst what U wanted. Tlie;' Practical Speller "appears to be Hist what is wanted.-REv. V\ . PjMT,S„pt. Church of Eng- land Schools, St. Johns, Neivfound- Particularly pleased with It. I ain particularly pleased with the arrangement of exercises and tlie choice of words in everv-dav use, as well as the high character of many of the literary selections. As a hand book both fororal spell- ing and dictation, the book merits a place in every school.— G D PLArr, B.A., fnspector I'.s., Pic- toil. Very suitable. "It is very suitable for the oblect In viiiW."—C'aitada Presbyterian. Is a necessity. "The 'Speller' ia a necessity and HO have seen no book which wee.in recommend more heartily tlmn the one before us."— /»;ri()w- tenan Witness, Halifax. Correct blending system. As a rule niustora follow only tiie dictation plan, hence there can be luile doubt thitt the notoriously l».idspellingon the part of the best students of the present day is due to a neglect, of the oral method A correct blending of the two sys- tems is arrived at in thif, work — Sam. Hughes, late of Toronto Loll. Inst. Wei! pleasrd with if. I !im well pleased with it. I en- dorse every word in the prcfnce. I would like to see it introduced in every school.-N M Cami.i,kll, U.M.^ Co. Elgin Model S chool. No rnles. Aniong the many advantages inis te.\t-book possesses above all others with which I am familiar, is the noteworthy fact that it con- tiiin.s »io< a ninr/le rule for upelling. n- ^•, Mackknzie, M.D., I.P.S.. Parrsboro, N.S. ^-^-o., Slniplicity. The '' Practical Speller" is an admirable work; its arrangement and simplicity commend itself to a teachers as a te.vt-book, and to all others who are desirous of ac- qiiir/ng a thorough knowledge of this must important branch of edu- cation -J. ti. FoiiDK, If.M., Cen- tral School, Sherbrooke, Que. Admirable work. I consider it an admirable little work The chnpter on Similar Sounds IS a i)articiilaiiv valuable one. — lIowAKi) Mlkhav, Prin. Academy, J\'ew Glasgow, N.S. Keeonimends It. I am much pleased with It I like the plan of grading the les- sons, and also the classing of words pertaining to certain trades, nro- fession«,etc. I have found it very nseluhndiclation exercises. Have recommended it to several teach- ers. -E. J. Lay, Prin. Academy, Annapolis, N.S. "^ Combinntlon of excellencies. The grouping of words in com- mon use, the reviews, thedictation exercises and literary selections are all admirable, and form a com- bination of excellencies not sur- p:!sscd in any book of the kind that I have ever met with —A. C. A DoAXE, I.P.S., Barrington, N.S. Excellent work. I can truly fay I think it a verv excellent work, The preface is very valuable both for teachers andpupils, and if it could be gen- crally introduced into our schools, I havo no doubt that the results would besatisfactory.-PitoF J P Tufts, Wolfville College, N.S. W. J. Gage & Co.*s Publications. R byjsed Edition Gage's New Map Geograph y Primer, pricg 40 ^^^^^ For I'npils preparing for Promotion Examinations, For Pupils preparing for Entrance Examinations. For Pupils preparing for Junior and Senior Leaving Examina- tions. For Pupils reviewing for Certificates or Final Examinations. n^O overcome the great diiflcnlty of preparing students for tlicse exami- _|_ nations, some masters tlirougliout the province have talcen the ordinary text-lKwks in use, and from the multitude of sentences, selected what they deemed necessary to be lea iied »)y tiie pupil. Others again have used the hlacklroard or the dictation IkdoIc for the facts to be memorized. These plans arc objectionable, as the one does not present the words from the text -book so as (o be remembered readily, and the others necessitate the loss of mnch valuable time. Further, the pupil does not recognize the word in its written form, and thus the spelling is not taught. Of still more importance and what in itself should commend the work to teachers and the public generally, is tliat the exercise book required for the dictation exercises in Geography alone costs as much as this primer. The work is arranged in tabular analysis, to prevent the wi\steof time in poring over a prosy text-book. Brief notes are inserted at intervals to convey information of special interest. Although merely preliminary, this l)ook will be found to contain all that is necessary to fit a student for any of our examinations in the subject. Geography. As to what and hoto much to teach, those in charge must exercfse their own judgments. Th(> attention of both teacher and student is directed to the Railway Map and to its analysis as special features of the book. The new matter thus adJed relates to such interesting portions of the earth as AustraUa and parts of Oceania. Africa, the West Indies, and Central America. These places containing ns they do sister colonies, claiming a common origin with ourselves from British stock, canKo^ fail to be of deep inteieat to all loyal Cansulians. The statistics of the various countries, particulary those speaking ^e English Language, have been brought down to the latest date ; this is possible at this juncture owing to the prevailing custom of taking the census every decade. The W. J. Gage Co.\s PrBucATioxs. Revised Edition Gage's New Map Geograpliy Primer. The Railway map and letter press instruction accompanying it, whicli forms a special feature of the work, is also l)roueht down to latest date, and will be found to almost furnish a "travellers' ^uidc ." as nearly every place of importance will be found therein. It will be noticed that the older pai is of Canada are as well supplied with railway facili- ties as any part of the world. The natural products, manufactures, trade and commerce, have receiv.d special attention ; and, while not claiminff that it contains everything essential to a complete knowledge of Geo^'raphy, it is contended that as much useful information has been packed into the limited space as is either wise or prudent. The Main Features may be summarized as follows :— Brief and Clear.-TheVhole matter is put i,. so brief and clear a manner that the time of teachers and pupils will be saved and most satisfactory results can at the same time be secured. Coniplete.-It is believed that this new Primer contains all tliat is nect'ssary to cover Promotion, Entrance, Junior and Senior Leav- ing Examniations. Its lltlllty-Tlinc Save«l, Expense Saved.-Instead of the teachers marking in the larK:e text-books the lessons to be learned, or usinir blackboards or dictation books, the student has presented in this little Primer in clear concise form all tliat is necessary to be •emembered. Maps.-Fifteen beautiful maps are inserted, namely : Mapof the World Western Canada, Dominion of Canada, North America, South America, United States, Europe, England, Scotland, Ireland, Asia Africa West Indies and Central America, Mexico and Australia. Map of Geogr. phical terms. Among the special features of the new edition will be noted : New Railway Map.-The Grand Trunk Railway System is indicated by a Red Printing and Canadian Pacific Railway indicated by a Green Printing, thus showing at a glance these two great Railway Systems of Canada. «uwuy New Maps of West Indies, Centrnl America and Mexico have been added, also a map of the Dominion of Canada sliowing relative positions of the different Provinces of Canada. W. J. Gage & Co.'s Publications. Reyisea Edition Gngre'. New Map Geography Primer. New Double Page Nap of Oiilarlo.-Printert from relief plates in three colors with all of the most recent information available. New Doulile Page Map of BHUhIi Columbia brought down to date. Double Page Map of Quebec. tion to latest date in accordance with the recent census, in which Tttoition' ^""^■'''■'"''''' ''^^^'^ ^'"' Commerce have received special A Chapter on Topieal Cieognipliy for Li.nguage Lessons. Specimen Promotion Examinatluu Papers. Price.-Notwithstandingtho book has been printed on beautifully talen- dered paper, entirely re-wrilton with a large number of additional maps, tJie price remains the same, viz., 40 cents, and is about onehah of that of ordinary te.\ts books. County Editions have been issncl. the Counties being grouped together and beautifully engraved maps of each County, with every post-office, population of villages, towns, etc., and otlier useful information sup- plied. *^ CONTENTS OF COUNTY MAPS. Each map marks the location of every post office, shows the mpula- tion of each village or town, shows the Iwation of telegraph stations, the main travelled roads and the distances between stations on the various lines of railway. C ounty Edition A. With County maps of Essex. Kent, Lambton, Middlesex, Elgin. Perth, Huron. " * Couniy Edition B. With County maps of Oxford, Norfolk, Brant, Wentworth. Haldl- mand, LinoQln, Wclland, Waterloo. r The W. J. rjA(!K Co. '9 Publications.' Revised Edition Wage's New Map Geography Primer. County Edition C. With County maps of Haltoii, l>eel, York, Duflorin, Wellington, Simcoo, Grey, and Bruce. County Edition D. With County maps of Ontario, Durham and Nortliumberlaiid, Peterborough, Haliburton, Victoria, Hastings, Prince Edward Lennox and Addington. County Edition E . With County mnps of Frontenac, Leeds and Grenville, Russell and Prescott, Renfrew, Lanark, Carleton, Dundas, Stormont and Glengarry. Gage's Map Geography— Quebec Edition. . Contains a large double pige map of the Province of Quebec also map of the Eastern Townships, togctlier with addition:.! Text descriptive of the Province of Quebec. Price 40 cents. Gage's Map Geography— Manitoba Edition. Contains double page map of Mnnitoba, together with the de- scriptive text of that Province levised to date. Price 40 cents. Gage's Map Geography— British Columbia Edition. Contains new double page map of British Columbia, together with descriptive text revised to date. Price 40 cents. Primer. llhiKtoii, iberlaiMj, Edward, , Russell lont siiid I. Qiiehof, iial Text on. I lie de- nts. mbia ogetlier /Z Vc^^ > \f^C