ra IMAGE EVALUATION TEST TARGET (MT-3) fe k *t / 1.0 I.I 1^ 1^ B^ IIIIM 12.0 18 L25 illlU IIIIIL6 • !■ Photographic Sciences Corporation 23 WEST MAiN STREET WEBSTER, N.Y. 14580 (716) 872-4503 iV iV L1>' <^ '^."^ r CIHM/ICMH Microfiche Series;. CIHM/ICMH Collection de microfiches. Canadian Institute for Historical Microreproductions / Institut can&dien de microreproductions historiques HMBI Technical and Bibliographic Notes/Notes techitiques et bibliographiques to The institute has attempted to obtain the best original copy available for filming. Features of this copy which n^ay be bibiiographicaiiy unique, which may alter any of the images in the reproduction, or which may significantly change the usual method of filming, are checked below. D n D Coloured cover^/ Couverture de couleur I I Covers damaged/ Couver\ture endommag^e Covers restored and/or laminated/ Couverture restaur^e et/ou peliicuiie Cover title missing/ Le titre de couverture manque Coloured maps/ Cartes giographiques en couleur Coloured ink (i.e. other than blue or black)/ Encre de couleur (i.e. autre que bleue ou noire) I I Coloured plates and/or illustrations/ Planches et/ou illustrations en couleur Bound with other material/ Reli6 avec d'autres documents Tight binding may cause shadows or distortion along interior margin/ La reliure serr^e peut causer de i'ombre ou de la distortion le long de la marge intirieure Blank leeves added during restoration may appear within the text. Whenever possible, these have b^en omitted from filming/ II se peut que certaines pages blanches ajoutdes lors d'une restauration apparaissent dans le texte, mais, lorsque cela itait possible, ces pages n'ont pas 6t6 filmies. L'Institui a microfilm^ le meilleiir exempieire qu'il lui a 4t6 possible de se procurer. Les details de cet exemplaire qui sont peut-dtre uniques du point de vue bibliographique, qui peuvent modifier une image reprodulte. ou qui peuvent exiger une modification dans la m6thode normale de filmage sont mdiqu6s ci-dessous. I 1 Coloured pages/ Pages de couleur Pages damaged/ Pages endommag6es Pages restored and/oi Pages restaurdes et/ou pollicul6es Pages discoloured, stained or foxe< Pages d6color6es, tachet6es ou piqu6es Pages detached/ Pages d6tach6es Showthrough/ Transparence Quality of prir Qualiti indgaie de I'lmpression Includes supplementary materii Comprend du materiel supplementaire Only edition available/ Seule Edition disponible I 1 Pages damaged/ I I Pages restored and/or laminated/ I''}' Pages discoloured, stained or foxed/ I I Pages detached/ r~J Showthrough/ I I Quality of print varies/ I I Includes supplementary material/ I I Only edition available/ D Pages wholly or partially obscured by errata slips, tissues, etc.. have bsen refilmed to ensure the best possible image/ Les pages totalement ou partiellement obscurcies par un feuillet d'errsta. une pelure. etc., ont 6td filmdes & nouveau de fapon A obtenir la meilleure image possible. TJ P< of fil Oi be th si« ot fir si( or sh Til wl Ml dil en be rig re< Q Additional comments:/ Commentaires suppl6mentaires; Irregular pagination : [1]- 97, [5]- [39] p. This item is filmed at the red'jction ratio checked below/ Ce document est fiim6 au taux de reduction indiqu6 ci-dessous. IPX 14X 18X 22X "1 I n \ r"T7i \ I I I 26X 30X 12X 16X 20X 24X 28X 32X The copy filmed here has been reproduced thanks to the generosity of: L'exemplaire f ilm6 fut reproduct grdce i la g4n6rosit6 de: ails du •difier une rage Hamilton Public Library Th« images appearing here are the best quality possible considering the condition and legibility of the original copy and in keeping with the filming contract specifications. Original copies in printed paper covers are filmod beginning with the front cover and ending on the last page with a printed or illustrated impres- sion, or the back cover when appropriate. All other original copies are filmed beginning on the first page with a printed or illustrated impres- sion, and ending on the last page with a printed or illustrated impression. The last recorded frame on each microfiche shall contain the symbol —^ (meaning "CON- TINUED"}, or the symbol V (meaning "END"), whichever applies. Hamilton Public Library Les images suivantt^ ont 6t6 reproduites avec le plus grand soin, compte tenu de la condition et de la nettetd da l'exemplaire film6, et en conformity avec les conditions du contrat de filmage. Les exemplaires originaux dont la couverture en papier est imprim^e sont filmds en commen^ant par le premier plat et en terminant soit par la dernidre page qui comporte une empreinte u'impression ou d'illustraticn, soit par le second plat, selon le cas. Tous les autres exemplaires originaux sjnt filmds en commen9ant par la premiAre page qui comportr une empreinte d'impression ou d'illustration et en terminant par la dernidre page qui comporte uue telle empreinte. Un des symboles suivants apparaitra sur la dernidre image de cheque microfcche, selon le cas: le symbole — ► segnifie "A SUIVRE", le symbole V signifie "FEN". Maps, plates, charts, etc., may be filmed at different reduction ratios. Those too large to be entirely included in one exposure are filmed beginning in the upper left hand corner, left to right and top to bottom, as many frames as required. The following diagrams illustrate the mathod: Les cartes, planches, tableaux, etc., peuvent 6tre filmds d des taux de reduction diffdronts. Lorsque le document est trop grand pour dtre reproduit en un seul clich6, il est filmd d partir de I'angle supdrieur yauche, d^ gauche d droite, et de haut en bas, en prenant le nombre d'images ndcessaire. Les diagrammes suivants illustrent la mdthode. rata elure. 3 I2X 1 2 3 1 2 3 4 5 6 5 Exercises in Arithmetic FOR rSE IN TIIK JUNIOR CLASSICS OF PUBLIC SCHOOLS PART /. A COLLECTION OF PROBLEMS SUITAUl,!'; FOR First, Second and Third Book Classi<:s - "rw\»i IiW'OLYlNG TUtE SLWLE AND COMPOUND RULES, EASY FRACTIONS, Etc., WITH ANSWERS. SECOND EDITION. !'.Y W. N. CUTHBERT, Tcronfo. TORONTO : THE COPP, CLARK COMPANY, LIMITED. 1896. filtered acoordins;- lo Aut oi tlio I'ailiumeiii of Canada, in ilie year one ihousand eiirht huiidp'd and ninetj-four, by Tun Ccpp, CIjARk Comi'any, Limited, Toronto, Ontario, in the (Office of the Minister of Agriculture. 'f .;. •I *! *' n Tn * ' •* ■ ■ 1 • j>,=w #! .{.. r>t tV ,1 L. i.jv"f PREFACE TO FIRST EDITION. This little book (Exercises in Aiitlimetio, Part I.), as far as it concerns the First and Second Classes, is intended to furnish examples in the use of the four .siijns used in the Simple Kules to iiidicate the operations performed Avith iiumber;^. A lack of problems, involving the use of the four sii/iis mentioned, induced me to furnish a number of such problems to supply the want. To these have been added a nund)er of exercises in the Simple and Compound Hules, together with a nun.ber of exercises in H. C. F. and L. C. M.: Easy Fractions, Bills and Accounts, etc., suitable for pupils in the Third Class. \V. NELSON CUTHBERT. V KKSCHOYLK, Mai/ isl, ISO^. PREFACE TO SECOND EDITION. The author is grateful to those teac Ik rs who have called his attention to errors which had crept hito the First Edition, and he has pleasure iu announcing that these have been convcted ; and as the l)ook has been enlarged (in connection with " Exercise Hook No. 1 " ) by 74 Exercises, making in all an addition to it of r)42 I'roblems, he trusts that this Second Edition will meet with the same favcr as did the First. At the suggestion of many Inspectors and Teachers, the Answers have been incorporated in the book. VV, NELSON CUTHBERT. ToROi*ro, May 1st, 1896. EXERCISES IN ARITIIMETI PART I. FIKST CLASS. Exercise I. Find the result of — 1. 24GI +387()-- 1004 + 21G8-. 3747. 2. 14712 - 2169 -.S8IJ7 + 4771 -21G + 874. 3. 9474-2198 + 7271 + 1704-324. 4. 3]+48-aG-2 + 417-214 + 681-3. 5. 7134 -2li:iG + 7G4- 2186 + 394. 6. 8213 + 47G8-3214 + 148G + 3G91. 7. 2413 - 9874 - 216 + 739 1:3 -- 21947. 8. 28G47 - 38G2J + 71G84 + 332 - 5G7. 9. 32-417 + 8G39-2141G + 8G473. ' 10. 984710 - 21G872 + 34210 - .5001. 11. 832G - 2194 - 3804 + 7128 - 400G. 12. 1852 -382 + 710 + 490 -3821. 13. 417 - 986 + 421 - 387 + 999 + 214 - 682 + 789. Exercise II. 1. Find the result of 9471 - 218G + 3774 - 2986 - 7179. 2. Find the result of 47280 -214 + 80G4-2104-386 - 217 - 394 + 7174. 3. Find the sum of 479, 21, 807. 4000 and 9. . /• ■^''2"'..'^'^ ,'""i "^ ^^'^^' 2^^'^ ^^^^ ^^*' "^ke the difference oetween 8749 and 3876. 0. ''^J'^J}}^ difference between 8007 and 7993, add the sum of 01, 405, 50^ and 808. fw «» EXERCISES IN AKITHMKTIC. 6. How muclj is 9764 - 2163 greater than 1001 ? 7. How inucli imi.sfc I take from 7218 to leave 0009 ? 8. Add the .siiin of 0005 and oOOO to their difreioiico. * 9. By how mil li does 28 + 30-4-8 + 291 exceed 3947- 3894 'i 10. Find the vahie of 30-21+9004 + 39-58-21 + 004 + 723 -13. Jl. From the sum of 1989 and 9891, take the diirereme he tween tliem. 12. What is 10947 + 2198 -38470 + 16 -43 + 77881 + 4689 + 3943 + 280 - 1 728 - 598 1 - 2804 + 7280 { 13. What is tlie sum of 709; five himdied and 37; one hundred and seventy-three; 410 ; and eighty/ Exex'cise III. Add the numbers in eacli of the fcV )wing questions, vertically and horizontieally, and prove tlic correc'.ne.ss of the work by adding the results : — 1. 9+8+7+0+ 4 3 + 8 + 4 + 9 + 10 15 + 4 + 9 + 8 + 11 + + + + = 2. 19+i4+i(;+ 7 3+ 9 + 114- 4 15 + 21+30 + 49 71 + 83 + 04 + 72 2 + 91 + 30 + 84 5+ + 19 + 84 PIKST CLASS. 4. 5+ d + U+Cl 10 + 21 +. 'JO + 42 23 + :i0 + 21+ J) 7 + 44-h'J3+ 8 0+14 + 28 + 30 6. 9+2+8+7+0+11 5+9+4+3+2+ 5 4 + 3 + + ;i + 8+ 1 7. 3+9+7+G+4+7 2 + 8 + 9-f-0 + 7-r8 4 + + SH-7 + 2 + 5 8. 3+9+7+8+0+1 2+8+9+6+1+0 3+0+0+4+3+1 9. 21+ 03 + 94 + 100 401+382 + 41+ 30 20+ 30 + 43+ 82 ut fiil asssstgtmm 8 10. Exi-:ncisr-:.s in auithmktio. 91 + 30 + 71 + 28 3G + 21 + (l4 + 72 3fi + 82 + !)l + 34 11. 81 + 72 + 30 + 04 83 + 01 + 72 + 85 30 + 02 + 84 + 01 12. 38 + 70 + 21+04 8+ 0+ 9+ 7 17 + 21+30 + 44 J3. 338 + 410 + 721 324 + 210 + 043 70+ 28+ 9 Exercise IV. * he require to unlk ^'^ = '''^' ^^°'^ ^'^'^"y J'^'^s farther will 3. Acid 78!. 307 an.l 57 ; and tnke a^vny 870 frcnn the sum chani«;;:!Mv;;:riS,f?'^"^^^^^ ^--«- ^<^^^- bm; what 6. Wiiat is 14- 10 + GO - 4 - 3 + 702 1+4? ^ _^ FittST CLASS. 9 2^30 l""'"^ '"""^ ^'"""^ ""''" "*° ^""^ °^ ^^' -^^' ^""^ ^^ ^° ^■'^^^'" f^""' ^8 John has 10 confs in one poclcot, 2~> conts in another pocket, ami 80 cents in a ^,h,r,l „„ck.t. How mucli money has ho more than bam who has 7o conts? imJes nortli ; huw far is ho from where he 'started i 10. Add all tlio numbers ondino in 5 hotwecn 1 and 50. 1 1. A man earns 80 cents on ISTonday, and twice as much each of the o her (hiys of the week on which he can work, what does he earn tJiat week ? 12. A dog cai^-ht as many rats on Wednesday as it has feet, ev^s nnd ears ; an< 3 tunes as many on Thursday. f)n Friday it clmght / , find on baturday U ; how many did it catch during the fSur (lays ( ° 13. Eacli of 7 hoys has 20 cents ; they, together, give 1)1) cents to the poor. Huw much money have they all Jeft ? Exercise V. \' , o?® ^'"''^^^^ «infl twenty-nine is taken as an addend 4 times, and J2l IS taken as an addend .'{ times. What is the sum of both ? 2 Write in figures :-Five hundred and seven ; two thousand and one ; 8 hundred and 81) ; and subtract LXIV from their sum? 3. What is G40720 - 38G002 ? 4. Subtract 5980 from l] thousand and 11. 5. Bought, a hat for $2, a coat for $15, a tie for 20 cei s and a handkerchief for 15 cents. Paid down $10.00. How much do I still owe ? G John had 5 half-dollar pieces in his purse. He bought a knife for 2.) cents, a hook for 30 cents and two slates at 10 cents a niece. IJow much money had he lelt after paying his bill ] 7. Mary received a box of 9 dozen marbles ; she gave her two brothers each 20 marbles, and her sister a dozen more than she crave to b(»th her brothers. How many had she then left for herself'"/ 8. Will liad .1 dozen bunches of fire-crackers of 100 each He gave away half of theui, and fired ofi half of what remained. How many did he give away and firo oflf" all put together ? 10 EXERCISES IN AHITHMETIC. 0. There are 60 pupils in a school ; onu-third of them being girls, li<»\v many boy3 are there iiiDre than yir'.s in the school ? 10. I'l a box there nre 14-i sticks of chalk ; 36 of them are broken. How many are whole ? 11. Fiml tl)e sum of all the numbers from89 to 98 counting these two numbers as addends. 12. What is 32 + 86 -4 - 27 + 62-3-1-89 - 2 - 4 1 13. The ditti-rence betwt'en the price of two lots is ^264.63, and the price of one lot is $158 ,'d ; what is the price of the other lot 1 Exercise VI. 1. How many pigeons, worth 20 cents each, can I get with 180 cents ? 2. A man gave $95 fc* three cows. For two of them he gave $03 ; what did the other cow cost him 1 3. From the sum of 9006 and 191)0, take their difference. 4. There are six addends ; the tirst olirtie are 205 each ; the next two are 502 each, and their sum is 2618 ; iiud the sixth addend. 5. A fat ox weighs 1850 lbs. ; what is tlie weight of 7 such oxen ? 6. A ir.an owes 187 cents. He has a dollar bill, 7 ten-cent pieces, 4 five-cent pieces and fcir one-cent pieces in his purse. Which pieces, along with the dollar bill, will he take out of his pui'se to pay his debt? Tom picked the full of a ten-quart pail of berries on Monday ; the half-full of a sixteen-quart pail (m Tuesday, and on Wednesday half as many as he piel:ed on Monday and Tuesday. How many quarts did he pick during the three days? 8. Tim has $5 ; he gives 75 cents to each of his three brothers, and a dollar to his aunt Sarali. How much money has he left? 9. If Jane had 70 cents more money, she wo\ild have 520 cents. How much Would she have, if she were to lose 50 cents? 10. T.ike 817 ; add 415 to it ; take away 715 ; add 904 ; take jiway 977. How nmcli is left? Write it down in words. 11. Wh..t number added to the difference of 3000 and 17-9 will give the sum of 40366, 2709 and 30916 ? Iw. Bob caught 5 dozen fish, and let 4 of them go back into the water again. How maiiy had he left ? 13. Find rhe sum of (iO cents ; |2 ; 8 ten-cent pieces ; 145 cents ; and 9 five-cent piect 3 FIHST CLASS. 11 Exercise VII- 1. There are 14 pupils in the first class, 10 in the second, 11 in tlie th.ird, 15 in the foiuth, and (''5 puiiil.s in the whole school ; liow many are there in the lifth clas.s ] 2. There Avere 215 crows in a tree-top ; 3 dozen and 3 crows Hew away, and a man ;';oin!j; past the tree Irio-litonel away 11 more. How many crows nuist then go back, that the number in the tree- top may bo 175 ? 3. Walter Smitli pai9, and then sold him for $80. How nnich did he gain ? 11. What is $20-45 cents + 5 cents? 12. What is 740 - 1090 + 43909 - 1 -f 8264 ? 13. From the suui of 3545, 3.3204, 1155 and 185376 take the difference between (>" i)349 and 410009. 12 EXERCISES IN AltiTHMETIC. Exercise VIII. 1. John has 5 pens of cliickens. In the first there are 11 ; in tlie second 12 ; in the tliird 21 ; in tlie foiuth lialf as many as there are in tlie first, second and third togetlier : *ind in the liftli lialf as many as in all the others put together. How many chickens h.is John ? 2. I lost $20.15 by seUing a cow for $13.85. value of the cow ? What was the real 3. A hoy has 5 pair of pigeons ; each hen hatches 6 pigeons during the sunnner, and then 4 fly away. How many dozen pigeons has the boy left ? 4. A farmer had 250 sheep ; he sold 49 of them ; the dogs killed 11, and 10 died. He then bought half as many more as he had left after the 10 died- How many sheep had he a*'ter that ? 5. A room is 40 feet wide and half as long again as it is wid'.; How much string will go rounil the room, on the inside, close to the walls ? 6. In a garden a gardener grows 14 bushels of currants, 1,"> bushels of raspberries, 12 bushels of poachop, 40 bushels of pears, 140 Inishels of strawberries, and 75 bushels of ap[)les. How muth fruit has he ? 7. A man's salary is $1400 a year. He spends $500 in books, $150 in clothes and $ir>0 in board. If he saves $600 a year, what must have been his other expenses ? 8. At billiards Tim made GOO pctints, and Sam made 471 points. "Which won, and by how many points ? 9 A train has 13 ears loaded with hogs ; in the first 4 cars there ure (JOO hogs ; in each of the next 5 cars there are 90 liogs ar>d 100 in each of the remaining cars. How many hogs are there on tlie train 1 10. Alfred has 17 cents, Peter 18 cents more than Alfred, and Jose])h as many as both the other boys. How many cents have Alfred and Jose])h more than Peter? 11. Janes quilt has 144 patches in it. Her mother made and sewed in 45 of the patches, and Jane did the rest of it herself. How many patches did Jane do alone ? 12. Jack had 15 c; idy-sticks in abox : his father put in a quarter of a dozen more, ai I Jack ate the half of all he had then in the box. How many h.al he left ? 13. Minnie's garden has rose-bushes in it. On each bush there are 42 roses. How many roses are there in her garden ? FIRST CLASS. 13 Exercise IX. I. In a bag there are 41 white candies and 3C red ones. Fred puts in three-quarters of a dozen more red Ciiudies, and then takes out 3 white ones. How many more red candies than white ones are there left in the bag ? 2. A mercliant sold 15 dollars' worth of tea to one man; 1(5 dollars' worth to anotlier, and 20 cents' v.'orth to a third man. How much did he get for tea altogether ? 3. A tradesman earned $16 one week and spent S4.20 of it ; the next week he earned $41.80 and spent $16. He then bought a suit of clotlies with the rest of the money, paying $7.00 more for the suit tlian it was worth. Wliat was the suit worth V 4. Four boys own a boat worth $25. John's share in it is $5. Tom's $7.50. Will's $3. What is Harry's share in it ? 5. On one side of a house there are 4 windows with 4 panes of glass in each. On the opposite side there are 5 windows with 4 panes in each. On the other two sides there are 7 windows with 4 [)aues in each, and tho doors have 144 -colored panes in them. How many more colored panes than clear ones are there in the house ? 6. A boy had 14 rabbits in a box. He sold 5 of them at 20 cents each ; 3 at 25 cents each ; and the rest at 30 cents each. How much money did he get for his rabbits? 7. A man paid $5 for one dog and twice as much for another ; they together killed 4 sheep for the man, each worth $6, and he then killed both dogs. How much did he lose altogether by buying tho dogs] 8. Find the sum of (a) 6, 15, 400 ; (h) 4, 00, 16 and 11; (c) six, nine, nought, fifty, one hnrdred juid eight ; (d) 7, four, 6 hundred and 17 ; and 59. Add together all your answers. 9. James bought 6 oranges and Harvey bought 24 more than James. How many dozen have they both? 10. A boy having a basket of apples gave Mary 6, Bella 10, Jane half a dozen all but 2, Kate 4, and had one dozen left in the basket. How many were there in the l>asket at first ? 11. Find the sum of all the numbers from 1 to 35 inclusive, and add your sum together 11 times 12. Eight years ago Charles was 15 years old. How old will he be in 15 years more ? 13. Susan is 12 years old and Bob is 2 years old. How much older will Susan be than Bob in 20 years' time ? u ■XERCISES IN AK'.THMETIC. Exercise X. 1. Mr. Sims and Mr. Baggs had each the same amount of money in his pocket when starting for town ; Mr. Sims spent ^4.28, and Mr. Baggs won $3 on a wager. Wlien they came home Mr. Baggs had $14. How much had Mr. Sims? 2. A farmer had 14 cows and 13 calves. He lost 2 cows and 4 calves, and tlien bought 11 cows and 9 calves. How many of each has he now ? How many altogether ? 3. A man being asked hew many goats he had, replied : "If you will give me 4 more goats and I buy 11, then I can give you 8 and have 20 left." How many had he V 4. A speculator gained $6,700 in nine months ; he then lost $1,400 a month for the rest of the year. How much did ho gain that year. ? 5. How much greater is the sum of 6890 and 4977 than the difference between 6947 and 4109 increased by 9016 ? 6. A grain dealer has 1700 bushels of barley in one bin and 1413 bushels in another bin. How imich more must he buy so that 1 e can sell 3000 bushels and have 1300 bushels left in each bin ? 7. Tom had $11 ; he lost 40 cents, and gave away $2, after which ho had only $1.60, having spent the balance. How much did he spend ? 8. Bought a pig for $6, a cow for $26.40, and 4 oxen at $41 a head. I then had $1 left in m^' purse. How many cents ha 1 I at first] 9. Ned received 4608-2194 + 368 marbles +85. 10. ^ (250 + 173) X (250 - 173) y +-33. 11. (96 + 7) X (43x4) + (2x2) +71 -500. Write your answer in words. 12. (984 - 1068 + 49 -12 + 687) X 640. 13. [(7x -{ 707+497 y )x ^ 7x(707-497) j- ]-+7. Exercise XXXV. the signs na Find the result of each of the following, taking indicated by the brackets : 1. -{ (50 x-50 X 50) - (23 x 23 x 23) [> + (50 - 23). 2. (50x50) + (50x23) + (23x23). 3. -{ (98 X 20) + (56 x 24) }> +91. 4. -{ (88 X 64) + (29 x 41) }> ^68. 5. ^ (88 X 34) + (62 X 17) j- +(3 x 2 x 7), by factors. 6. ^ (84x64) + (28x80)}> +9. 7. -{ (40 X ^0 X 40) - (30 X 30 X 30) }. +6. 8. ^ (40x-i(M + ''40x30) + (30x30) ^ x2. 9. -{ (80 X SO x 80) - (60 x 60 x 60) y -+64. 10. [^ (80x80) + (00x80) + (60x60) I- -925] +3. 11. (7250+ 125) X 11. 12. 7250+(125xll). 13. [^(99 + 46-32 + 71- 100 + 4)x72^ -36J+75. (1). By short division, using factors ; (2) by long division. SECOND CLASS. 27 Exercise XXXVI. Divide each of the following, in respective columns, as indicated at heading : . (Have pupils write out, in tabular form, the first nine multiples of each of the following divisors, to assist them). Divide by 13 : 1. 241G0890. 2. 64718900, 3. 5207005. 4. 6847 10G5. 5. 8204719. Divide by 23 : 6. 07214169. 7. 36900040. 8. 21674328. 9. 69471386. 10. 24369841. Divide by 26: 11. 3987645. 12. 7432152. 13. 6471862. Exercise XXXVII. Divide each of the following, in respective columns, as indicated at Iieading : (Have pupils write out, in tabular form, the first nine multiples of each of the following divisors to assist theui.) Divide by 59 : Divide by 93 : Divide by 99 : 5. 2840172. 9. 6471214. 6. 5G84731. 10. 10047321. 7. 48000719. 11. 4210091. 8. 5960572. 12. 9468727. 13. 100040600. 1. 2804713. 2. 10909484. 3. 047218. 4. 7210910. Exercie'^ XXXVIII. Divide each of the following, in respective columns, as indicated at heading : (Have pupils write out the fi^rst nine multiples of each of the following divisors, to assist them). Divido by 117 : 1. 047180436. 2. 2004007. 3. 18032981. 4. 4710832. 6. 59864713. Divide by 19 : 6. 0471809. 7. 12590839. 8. 24716834. 9. 6764030. Divide by 07 : 10. 4908041. 11. 1000401. 12. 98742016. 13. 2S90477. 28 FXERCISES IN ARITHMETIC. Exercise XXXIX. Multiply : 1. 57000 by 50790. 2. 7204()7 by G00400. 3. 89G4713 by 5438698. 4. C80047 by .300209. 5. 69840 by 98374. 6. 698004 by 8697. 7. 98046 by 70906. 8. 6908742 by 90870. 9. 73980254 by 30270098. 10. 698457 by 587630. 11. 2164 by 63028. 12. 60472801 by 709084. 13. 4570301 by 40007. Exercise XL. Find the product of : 1. 2804713 and 2060703. 8. 2. 87402 and 4056. 9. 3. 92870 and 4016. 10. 4. 59730215 and 7016. 11. 5. 71523097 and 402607. 12. 6. 467259873 and 397506. 13. 7. 64132708 and 516. 58972 and 50070. 98500 and 9070. 876047 and 21864. 17942 and 5079. 088 and 500909. 640289 and 7040G. Exercise XLI. Find the result of each of the following : 1. 328741x82107. 2. 740102x305007. 3. 740832x40701)0. 4. 2513112824757x30336. 5. 4005502x49580. 6. 2190040x4590004. 7. 248944x1221270. 8. 4831x9700. 9. 698574x4850090. 10. 900096x690009. 11. 980947x507808. 12. 098708x9870. 13. 520080x5004. Divide : 1. 4082135 by 1940. Exercise XLII. 2. 10122344 by 530. 3. 732540408423 by 273. 4. 973021540019 by 397. 5. 15040099180 by 25000. 0. 8150500412 by 87094. 7. 8079078000 by 987. 8. (12301x9x7) by 789. 9. 75759010 by 8704. 10. 09004191 by (J908. 11. 7172184024 by 79896. 12. 10052451302944 by 9084. 13. 09027900 by 8967. e*»np 8KC0ND CLASS. Exercise XLIII. Find the result of eacli of the followitK' : 20 1. 8769471398 -T- 0704.3. 2. 6987214(;~08. 3. 47190007-^8907. 4. 09027732^144108. 5. 987'i 0000004000 -f 101. 6. 00874000081-^597. 7. 10052451302944-1-2 100046. 8. (9847 X 4789) -^ 9700. 9. 6904183-:- 528. 10. 201507007004^49580. 11. (08379 X 29478) -^ 987. 12. (8907x7698) -^479. 13. 8487930000^289. Exercise XLIV. ind the result of each of the following : 1. 8531842623304-980574. 8. 804.509001 •^508. 2. 47 150500 -^ 4831. 9. 21470098 -f •379. 3. 795495 -^ 293. 10. 51488703 -f ■507. 4. 401339 -f- 827. 11. 237237000- ^3003 5. 2807912889^479.30. 12. 268701483 ■f039. G. 103351501 -f 2895. 13. 69001859-f -1858. 7. 368271404-109. Exercise XLV. Find tlie result of each of the followinr' • 1. 638247144-17. 2. 39870580 -^ 83. 3. 3900407 1-^-97. 4. 210984.32 -f- 59. 5. 4082891 -^ 39. 6. 90040005 -f 85. 7. 90471023H-82. 8. (008872x69)4-92. 9. 598004714-98. 10. 98721454-47. 11. 10004744-29. 12. 1045008-^-73. 13. (2000x1440x88)4-37. Exercise XLVI- I' 1. Multiply the sum of 928374050 and 928311800 by their dilrerence. "^ 2. Divide 1708058237484 by 374000052. 3. Multiply seven million nine thousand and sevc'i 1 " three niiliion fifty thousand seven hundred ; and divide tlie pruuuct by SIX hundred and ten thousand one hundred and forty. 30 EXERCISES IN ARITUMbTlO. 4. Divide twenty-seven hundred million seven thousand two hundred by forty hundred and ninety hundred and ninety-two. 5. Divide the continued product of 13200, 040 and 30 by seven hundred and twenty, using all the factors of the divisor. 6. The dividend is 21810149152, and the quotient is 39314 ; what is the divisor ? 7. Divide 298764 by 3G1 and G8900G4 by 9871, and subtract the remainders. 8. What number added to 3^552671 will make it divisible by 19G6 ? ^ 9. Multiply 2035674 by 396 and divide the product by 198. 10. What is the square of (1079 + 228 + C6 + 2559) ? 11. The divisor and quotient are each 345 and the remainder is 344 ; find the dividend. 12. The divisor is the same as the quotient and their sum is 12180 ; what is the dividend ? ««i^; ^^^^ numbers divided by 496 wUl give 49 for quotient and 207 for remainder ? Exercise XLVII. 1. Divide the product of G91 and 907 by 46 times 32. 2. Find the sum of 809 times 14 and 5919122 divided by 43 • subtract 31920 from the sum, and divide the difference by 30, using lactors. 3. The product of three numbers is five hundred and thirty-five thousand five hundred ; one of the numbers is 76 ; another is 68 • find the third number. * 4. Multiply 8G94 by 3, 60, 900 and 4000 separately and add the results together ; tlien multiply 8694 by 4963 and compare your two answers. Why do they agree ? 5. Take 11 from a million, and divide the remainder by 15 x 28 using short division by factors. 6. If the divisor, dividend and quotient be 216, 435780 and 2017 respectively, what is the remainder ? 7. There are two numbers whose difference is 99, and whose sum exceeds 300 by 119 ; find tlieir product. SECOND CLASS. 31 8. Divide 698 x 896 by 960 (a) using three factors, (6) using all the factors you can find for the divisor. 9. What is the difference between ^ 9198 -J- (41 - 32) x 1022 )- and 909 X 706 ? 10. Divide the product of 98764 and 98764 by 46789. 11. Divide the product of 6984 and 3860 by the difference between ten thousand, and three hundred and 61. 12. The dividend 6077974, the divisor is 7403, and the quotient 821; what is the remainder ? 13. Multiply 37004 by 8607 and divide the product by the difference between 6x7 and 6+7. Exercise XLVIII. 1. From the quotient of 0748147941 by 987 *-vce twice the difference between 7846985 and 3985769. 2. From the product of 9405075 and 3040509, take four thousand five hundred and nine billion, three hundred and ten million, four hundred and seventy-two thousand, two hundred and seventy-seven. 3. Subtract 98070G0540321 from 64114324713000. 4. Ben had 57643954 marbles and lost 954289 ; how many had he loft? ^ 5. Subtract 8376 + 9437 from 5869 x 8. 6. Subtract 67 hundred million 4 hundred and seventy-one from 9841309896. 7. Subtract one hundred and seven thousand and ten from twenty million ten thousand one hundred and one ; add nine to the difference and divide the sum by 25. 8. Multiply the difference between 34876 and 72093 by 9. 9. Subtract 1038 from the product of 03 and 21. 10. From 90 thousand thousand take the product of eighty-six hundred and seventy-one, and twenty-one lumdred and thirty-nine. 11. Multiply the sum of 264094 and 83720 by their difference. 12. From 17 million and 17 take eighty thousand and eight, and square it. I i 32 EXERCISES IN AHITHMKTIO. 13. From the product of 2C4094 and 83720 take the difference between 20530025994 and the product of the two nuuibers of which ttvir^' th^ir aim is 25280 and half their dlffevence 804. Exercise XLIX. 1. If 91 bushels of wheat cost $79.17, what is that a bushel? 2. Subtract 7830289 from 87135427 and divide the difference by 4. 3. Find tlie product of G947 and 2986. 4. Jack lias 49 marbles, Jim 24 more than 7 times as manv, and Lorn one-fourth as many as both Jack and Jim. How many has 5. A mile is 5280 feet, and a boy steps two feet each step : how many steps will he take in going five miles ? C. If a busliel of lionp seed is 44 pounds, how njany bushels are there in a bin weighing 8844 pounds? What is it worth at )|»1.40 a bushel? io *^' ^}^^.}\^ ^?^ °^ ^ "^^- ^"^^^^^ "^^ l'*^ cents, 18 lbs. cheese at 12 cents, 19 lbs. biscuit ut 9 cents, 41 Ihs. soda at 10 cents, 3U lbs. tea at 87 cents, and 45 lbs nuts at 25 cei)<-.s. 8. Divide 3480G41 by IG x 30, using tlie factors 2, 8, 5 and C. 9. Find the cost of 17 yards of cloth at $1.55 a yard. 1^T^?* "^^^^^ ^^'"^"^ '"^^'^ bottles of wine are tliere in a case containing 17 dozen and 7 bottles, than in one containing 7 dozen and 17 bottles ? 11. What number subtracted 88 times from eighty thousand and hve will leave 13 as remainder. 12. Divide 9874000G04 by 985. 13. How many times can you subtract 101 from a million, and what Will remain ? ' Exercise L. - 1. How many sheep, worth .§9 each, can a man buy with $184G8? 2. A farmer paid $70.35 for oats at ;!5 coiits a bushel. The oats wei;_h.;d 0834 lbs. ; what did a bushel wei-di ? 3. How many sheep, at 3 for ^13, can a man gst for $234 « SECOxVD CLASS. 33 4 In a field there are 12 nnvs of potatoes with 100 hills in a row ami 48 potatoes in a hill. How many dozen potatoes are there in the 12 rows i 6. What is the value of 202 pair of gloves at $1.26 for 4 gloves? 6. Multiply 69874 by 47890 and divide the product by 98704. 7. Find the total cost <>i : 10 lbs. sugar at 8 cents a lb. 41 lbs, rice at 25 cents a lb. 72 lbs. raisins at 13 cents a lb. 72 dozen cans salmon at 20 cents a can. $2S\JtT "''''"^ ''''^'' ""^ ^ ^''' ^'^^' ''''" ^ ^'"^ "^'^^ ^^^^' """"^ ^^""^ 9. What other number besides 001 will divide sixty-three thousand seven hundred and six witiiout leaving a remaind/r ? 10 Out of a ba^r of nuts, containing 225, John took 7 handfuls, and tliere were sidl left 134 nuts. How many did he take out each time on an average ? 11. A man bought a horse for $97, and anothe)- for ^85 Tliov cost urn for feed, wliile he owned them, $8. He sold the two together for $200 ; what did he gain ? 12 If the sum of 250 and 173 be multiplied by their difference and the product be divided by 33, what is the quotient ? nff'i ^'Z^'^lf' Tr 7'^^ '^'"^''"' '^ I subtract 17 from the sum of 53 and 27, than if I subtract 17 from their dillereiice ? Exercise LI. .A /'i YW '^ ^^'^ product of 504 and 405 ? How much must be aclcled to the product to get the product of 754 and .309? How and 123 '?"'''' t'^^en from the product to get tlie product of 321 2. What is (979x807)-(24x45)? Work by short division, using factors ; and also by long division. ' 3. What will 5 barrels of eggs, each containing 2412 eggs, cost at 15 cents a dozen ? = t^s > ^'-'-■^i' 4. A man paid $3.00 a ream for 72 reams of paper, an.l .<^0 00 a It all I What did It all cost him a quire if a ream is 20 quires ? u KXKKOISKS IN AIUTHMKTIC. 5. If 409()21 is tho clividund, 21 the remainder and 320 tUo quotent, find the divisor. a. Divide ^ (9()02)--(421G)- j. by (>72U. 7. If 09 shoep cost ^483, what will 33 sheep cost? 8 From liulf a million taice 49901 ; divide the difForonce bv 9 and then square it. 9. What is (64x81-r72)-^ -5084X lOO + lOll-rll ? 10. Bob has 11 marbles more than Sam. They each '•i)utup" 2 marbles every game played, and Sa>n wins 13 dmn/ht games from i>ob. How many marbles has Sam more than Bob then? 11. How many cows at $29 each can a man buy with the monev he receives for 12 hor.ses at $87 each ? 12. Find the cost of 435() pens at 10 cents a dozen and 740 pencils at 8 cents a score. 13. A man clears 5 cents on every book he prints ; how much money will he make on the sale of half a million books ? Exercise LII. 1. Find the cost of 2 loads of cheese of 40 boxes each if a cheese weighs 70 lbs. and is worth 12 cents a lb. ' 2. If a bushel of oats weighs 34 pounds, find the value of 218*^8 lbs. of oats at 52 cents a bushel. 3. Jones bought 2 dozen rolls of wire of 900 yards each • find what It cost hmi at 5 cents for every 18 feet, given that a yard is 4. Divide 2r)521425316 by 162854. 5. A pound is 16 ounces; find the cost of 67200 ounces of beef at 5 cents a lb. 6. Multiply the quotient of 18141480 and 2070 by 4678. 7. A man sold chickens, that cost him 35 cents each for 76 cents a pair, and gained $2.70 on all he sold. How many pair did 8. Bought 76 dozen pears at 2 for 5 cents, and sold them out again at 40 cents a dozen. Find my gain. SECOND CLASS. S6 i>. If you had 852 yards of t.^po. .nul you sold 00 feet ..f it Hinv many yarda vvouhl you havo left '( miil'''^ """"^ ^"^''" "^'^**'^' '''^ ^ ^*''' * '■*'"''' ''^'' ^ 8®*^ ^'^*' 11. Divide !$040.20 equally among 5 boys. 12. What is 75 times 030 times one-third of twelve tlionsand ? 13. John walked 214 miles, Jauias 4 times as far all but 24 miles and Andrew h.tlf hs far airain as John and James toj^uther. How far did they all walk ? ° Exercise LIII. 1. What is 03 X 48-r-O x 104-5 + 30 - 100 + 45 - 101 ? 2. Express MMDCCXCIX in figures, and square it. 3. One loaf of bread is worth 14 cents ; how murh are 14 dozen and 4 such loaves worth / 4. A boy had 12') marbles and gave away 2 out of every dozen. How many had he left 1 6. If 7 dozen eggs cost 108 cents, what is that for 5 egga ? 0. Divide 9870047130010 by 450. oQ^o Zllf ^''"^ ^'"" "^ -'^^ ^ ^^^' **^^' "^ '^2^' ^^'^ ^ ^^7' 832 X 987 and f i^o^To'^n' '^^nr/!,"^'' ""^ ^^^"^ produc^, quotient, difference and sum of 9811890 and 954 ? 9. How many dozen peaches can I get for 388 cents, at 16 cents a dozen ? nJ.^\^^^ '^",' n.^i ^ numbers is 20000 ; three of the numbers are 097, 4090 and 897(5 respectively ; find the fourth number. 11. For a flock of 21 sheep and 4.'^. lambs a farmer received |401 For the lambs he got $2 each. What was the price of a sheep ? 12. At 20 cents a lb., how nmch butter can I buy with 3640 cents ? 13. What number multiplied by 9 will give 7230 x 6 ? Exercise LIV. 1. Divide 08712161 by 7000, (a) rsing 4 factors, (h) using nil the factors, (c) by striking off the ciphers and di'^iding by 7. ^^* KXIOHCIHKS IS ARITIIME no. 2. Form the square of oach of tho f(.l lowing : 41, 28, 72, 003, 95,101, 325, utid {mM the results togethtn- Ml /^"^^ "^'^"^ *^""^^ ^■'^ ^ ^ "^ contftinea in ^' (38 x 45) - GIO + II ;^ X 1111 — luy I 4. Find tho amount of tlio f«»llowiiig bill : 42 yards tweod at $1.75 a yard. 13 yards gin<,diam at 20 cents a yard. 42 lbs. butter at .^ I for (i lbs. 36 lbs. sugar at 12 Ib.s. for $1. 15 doz. egg.s at 3 for 5 cents. 5. Find the sum of all the odd numbers between 40(> and 436. 6. Divide 307 times 704 by 33x5-5, by long division, and by short division by factors, using all the factors you can and for the divisor. A L-^^^, T"y ^"°^''* ^ill 8 teams draw, if a wagon-load is 4 X 57o bricks ? ° 8. Write, in words, tlie difroronce between one million, and one hundred and one thousand and one. 9. Find the sum of : 9x6x8x4 = 5x60x9 = 9 X 12 X 11 X 10 = 706 X 304 = Sura. 10. Multiply 6804 by 9087 and divide the i)roducfc by 20412. 11. A merchant buys 600 yards of cloth at, 250 cents a yard, and sells one-third of it at .1^3 a yard and the remainder at .«!2.40 a yard What does he gain on the whole lot ? 12. A hare takes 60 jumps, each 7 yards long, in a minute. How many yards will ib have gone in 30 minutes ? 13. Divisor is 56 ; Quotient is 317 ; Remainder 28 ; find the UivK end. 8KC0ND (.'LASS. . 37 Exercise LV. 1. Divide the sum of 63, 208, 714G, 283, 5 and 91382 by 3. 2. Find tho sum, difference, product and quotient of 4893 and 29, and write tbti name after eacli answer you jjfot. 3. A man houglit ,'J20 liarrels of apples at 90 cents a barrel, and sold them at ^1.88 u barrel. VVbat did he gain after payin ? *^ 9. Simplify (694 - 21 + 406 - 49 + 702 - 1000) x 9070. 10. If 692 be the divisor and 407 the quotient, what is the dividend ? 11. How many dresses, each requiring 18 yards of trimming, can be trinnned with .37 pieces of braid, each measuring 17 yards? How mucli more would trim another dress I 12. A man bought 24 cattle at $24 a head, 15 at $30 a head, and 11 at $28 a head. For how much a head must he sell them to gain $166 on the whole lot ? 13. A man paid $2400 cash for some land, and gave $525 in produce besides. If there were 45 acres, what did the land cost him per acre ? SECOND CLASS. Exercise LXII. 43 a.,-f/" f^ ^f'^'' field has 78 rows in it, and eacli row has 96 hills with two doijen potat(.e.s in a hill Tf I*? rln^or, ,.-^f„^- ^" "i"s, peck, what is alma worth at 25 cenJa peek? ' '"" " " 2. (a) Write r;ui, on M(.iidii>' ; 2rJ toihs, 685 lbs., 10 ozs., bran, on Tuesday ; 71 tons, 641. lbs., 8 oz.s., brnn, on Wednesday. On Saturday, he sold 241 tons, 1741 lbs., 9 ozs., bviin. Ht)w nuieli Jiad he left ? 7. Subtract 35 tons, 1789 lbs., 12 ozs., from 63 tons, J 128 lbs., 8 ozs. 8. Add 88 cu1)ic yds., 9 cubic ft., J 000 cubic in.; 98 cubic yds. 20 cubic ft., 970 cubic in.; 45 cubic yds., 26 cubic ft., 1700 cubic in. 9. A man sells a horse for $146, how many £ Sterling does he receive for him ? 10. From 20 acres, 120 sq. rods, 30 sq. yds., 1 sq. ft., 9 sq. in., take 19 acres, 80 sq. rods, 27 sq. yds., 5 sq. ft., 108 sq. inches. 11. Find the cost of 420 rods of wire at 2 cents a foot. 12. Find the cost of 200 bushels, 3 pks. of berries at 3 cents a pint. 13. Reduce 370242 inches to miles, etc. Exercise V. 1. Find the sum of all the numbers between 875 and 910 inclu- sive, and square it. 2. Multiply the difference between 402 and 63 by one ilf th of their sum. 3. Multiply 867 by 907, and divide the product by 289. 4. Find the product of (6 -8-}- 14), (8 + 17-11), (7x8x3-4) And 806. 5. Find the difference between the product of 683 and 403 and 670 times their sum. ' ' 6. A boy sold 7 dozen pigeons at 10 cents a piece. How many apples at the rate of 36 cents a dozen can he buy with the money? 7. Find the difference between four hundred and 7 times 8 thousand and 40, and 3582207048 + 48. 8. Square 4079. 9. Forty-two sheep, 13 cows and 20]iogs, together, cost $895.50 Tho cows cost $21.50 a head ; the sheep $8 a head ; what did the hogs cost a head ? THIRD CLASS. 47 ^i^aJi'**''"'' i^'® I»"«dnot of 97 ii.d 806 from the quotient of 90080595 ami H»7, and write your result in words. 11. What number nuist be taken 708 times from G88953 t<. leave 09 for remamdor? 12. Bought 46(J bags bran of 70 lbs. each at 20 cents a bushel and sold out agr.iii at 80 cents a cwt., what .37.C0? 11. Fmd the cost of 7 tons of tobacco at half a cent per ounce 89iU a^s- ;;'r;j^^:r;;^ ^z-::- — -« ^--n 13. Find the cost of GO tons of chop at 75 cents a cwt. Exercise IX. 1. Find the cost of 8730 lbs. carrots at .-^5 cents a bag. 2. Find the cost of 800 boards <.f 10 ft. each at ^J2 a thou.sand . 3. Find the cost of 810 lbs. of applet (undried) at 70 cents a bag. 4. Find the cost of 8(;04 lbs. cheese at .1,58.25 a cwt. 5. Find total cost of : 9030 ft. of lumber at .f 20.45 a thousand. 240 lbs. beef at ^C a cwt. 2 ounces nails at 6^ cents a lb. 6 Find the value of 10 loads cheese each havi'nrr 9« k weighing 40 lbs. to the box, at .1^'12.40 a cwt ° ^''^^'' 7. A grocer mixed 8 lbs. tea at 59 cents, 15 lbs at o^ r.<>nf. i 28 lbs. at 05 cents ; .hat was a lb. of the nlixu/re worth ? '"^ cwt'ar^'rrtftr/- '^-"^^ ^^ 1^ -"^^ a bushel, how man, nJy its'St^ l::^^ f''^' '^' ^''■'' ^' ^li - -t. How 50 EXKIlfJISKS IN AllirHMRTin. J J. A mnn haa 2'i score of .slioop which .shear 8 lbs. of >vool eaoh on an average ; what is the clip worth at 18 cents a lb. ? 11. A man has 47 barrels of oj,'gH with 114 score in each barrel ; he sells the whole lot, getting 15 cents a (U>zen for the eggs and 38 cents s\ piece for the barrels, how much money does he receive? 12. I exchangi: 200 bushels of wheat at $1.20 a bushel and 300 biisluils of oats at, 40 cents ;i bushel, for cloth at 90 cents a yard ; how many yards should I get? 13. I buy 25 tons of coal at iS8 a ton and 70 cords of wood at $3 a cord, and i)ay 50 cents a cord for splitting and piling the wood and 20 cents a ton for delivering the coal. What does my year's fuel cost me ? Exercise X. 1. What is the value of 5340 lbs. of wheat at 89 cents a bushel i 2. What is the value of 38 bushels and 38 lbs. of rye, a^ 67 cents a bushel ? 3. What is the value of 491)8 lbs. of barley at 75 cents » oushel ? 4. How many bushels of hemp seed will weigh as much as 198 bushels of pease 'i 5. Find the cost of 9000 ll)s. of pease at 85 cents a bushel. 6. If 5 bushels of oats are worth 3 bushels of wheat, how many lbs. of whb«t are equal to 1870 lbs. of oats ? 7. Find the C(jst of 1<)20 lbs. of pease at 77 cents a bushel. 8. If 7 bushels of pc;ise are equal to 9 bushels of oats, how many lbs. of oata are equal 5040 lbs of pease? 9. A man paid $98.33^'^ for wheat at 85 cents a bushel, how many lbs. of wheat did he get? 10. A man paid $108.81 for oats at 39 cents a bushel ; how many lbs. less than half a dozen tons did he get for that money ? 11. A man receives $134.70 for 192 })ushels, 25 lbs., of barley ; how much does he lack of being fully paid, barley being worth 70 cents a bushel ? 12. Find the cost of 6314 lbs. of buckwheat at 72 cents a bushel. 13. Find the value of ir)12 Ib^. of sweet potatoes at 68 cents a bushel. TIIIKI^ ('LASa Exercise XI. M 1. Tf 38 bualiols nnd 12 lbs. of wheat cost $32.47, what is tha vfthie of a bushel ? 2. When 4 gallons of rye an; worth 4«.) cents, what is the valuu of 121() lbs. of rye 1 3. Find the cost of 27 cwt., 44 lbs. of fine salt at 19 cunts a bushel ? 4. What is the value of a quarter of a ton of castor beaus at 4(1 cents a peck ? 5. Wiiat is the cost of 41 hundred and 44 lbs. of Indian corn at $5 for 250 quarts ? G. Find the value of 8120 lbs. of cheese at $12 a cwt. 7. What will 304 million eggs cost at $1.26 for every 130 eggs ? 8. Find the cost < ' 75 tons of hay (a) at 3 cents for 10 lbs. (/»' at 45 cents a cwt. !). Find the value of 200 ounces of potatoes, when $115.20 buvs 480 bushels. 10. Find the cost of .S4fi8 lbs. of oats at 27 cents a bushel. 11. Find the value of 2G40 lbs. of pease at $1.07 a bushel. 12. Find the cost of 101 bushels, 10 lbs. of wheat at 90 cents a bushel. 13. What will 1 peck, 3 lbs., 2 ozs. of rape seed cost at $2.40 a bushel ? Exercise XII. 1. What will 40 ounces of canary seed cost at 75 cents a peck 1 2. Sold 2220 lbs. of wheat at 08 cents a bushel, and 2G86 lbs. of oats at 57 cents a bushel ; bought 49 yds. carpeting at $1,15 cents per yd. and 24 rolls of wall paper at 37 cents a roll. How much had I left out of my sales ? 3. Thirty bushels of wheat at 90 cents a bushel will buy how many yards of cloth at $1.35 a yard ? 4. Find the cost of 28G1 lbs. rye at 75 cents a bushel. 5. What is the value of 8075 lbs. of barley at 96 cents a bushel ? 62 EXERCISES IN ARITHMETIC. (). b'ind the valuu of 812(5 lbs. of alsike clover-seed at $7.20 a bushel. 7. What will 37 bushels 24 11)S. of buckwheat cost at 60 cents ii bushel? 8. What is the cost of 6128 lbs. millet seed at .^1.50 a busliol I • 9. Find the cost of 75 busliels 10 lbs. of pease at 90 cents a bushel. 10. Find the cost of 51 bushels 40 lbs. corn at 90 cents a bMsbel. 11. Find the cost of 51464 lbs. of rye at 49 cents a bushel. 12. What will 20 car loads of lumber, containing each 9 thousand and 80 feet, cost at ^20.45 a thousand feet ? 13. Find amount of the following : 40680 ILs. pease at 57 cents a bushel. 6840 lbs. wlieat at 70 cents a bushel. 6480 lbs. apple;5 at 80 cents a bag. 64 bushels, 14 lbs., corn at 72 cents a bushel. 56 bushels, 12 lbs., beans at .^^1.20 conts a bushel. 15 busliels, 15 lbs., clover seed at $6.40 a bushel. (286 X 790) ounces of hay at $16 a ton. Exercise XIII. Find the total amount of each of the foUowing bills : 1. 63 yds. muslui at 18 cents a yard. 45 yds. linen at 28 cents a yard. 63 lbs. butter at 23 cents a lb. 47 lbs. rice at 25 cents a lb. 24 lemons at 8 for 31 cents. 90 cans salmon at $1.80 a dozen. 2. 180 cans plums at $3 a dozen. 66 water-melons at 96 cents a dozen. 3. 23 lbs, :/arn at 38 cents a lb. 45 lbs. prunes at 15 cents a lb. 32 spools at 8 foi iO cents. 39 bananas at 56 jnts a dozen. a THIRD CLASS. 4. 63 yds. ribbon at 13 cents a yard. 24 yds. prinfc at 17 cents a yard. 78 dozen eggs at J2 cents a dozen. 12 oranges at 4 cents each. 81 lemons at 38 conts for 9. 5. 63 yds. cheesG-cloth at 3 cents a yard. 45 yds. lace at 45 cents a yard. 18 yds. braid at 10 cents a dozen yards, (i. 20 lb. rice at \) cents a lb. 13 lbs. tobacco at 05 cents lb. 42 lbs. tea at (15 cents a lb. 11 lbs. pepper at 12 cents a lb. 7. 13 ounces mace at $1.92 a lb. 14 lbs. sugar at 8 cents a lb. 19 lbs. U)!i at 70 cents a lb. 50 lbs. beef at ^13.00 a cwt. 8. 24 lbs. butter at 18 cents a lb. 13 lbs. rice at 25 cents a lb. 15 lbs. tea at 70 cents a lb. 45 lbs. bacon at 13 cents a lb. 28 lbs. coffee at 22 cents a lb. 9. 12 chickens at 35 cents a pair. 42 lbs. tea at 75 cents a lb. 39 lbs. mace at 20 cents a lb. 400 lbs. sugar at 20 lbs. for a dollar. 36 oans lobsters at $1,20 a dozen. 10. 28 lbs. mustard at 12 cents a lb. 45 dozen lemons at 3 cents each. 96 eggs at 20 cents a dozen. 28 bunches grapes at 7 for 30 cents. 19 lbs. candy at 15 cents a lb. 11. 45 dozen eggs at 3 for 5 cents. 28 lbs. mutton at 11 cents a ib. 41 cans sardine.s at 20 cents a can. 32 s{)oo]s at 2 for 8 cents. 91 yds. tnuij))ing at 40 cents a yard. 52 yds. dress goods at 18 cents a yard. 5.i I 54 EXERCISES IN ARITHMETIC. 12. 13 bushels, 1 • -ck, grass seed at ^() a }>u,shel. 20 lbs., 15 ozb. cheeso at $16 a cwt. 13. 600 lbs. hay at $18 a ton. 39 ounces of gold dust at $200 a lb. Exercise XIV. 1. Find the total cost of : 16 lbs., 8 ozs. bread at 8 cents a lb. 42 lbs. tea at 3 cents an oz. 406 ozs. coffee at 35 cents a lb. 68 lbs. tobacco at 87| cents a lb. 2. Sold 72 bushels, 28 lbs. , corn at 90 cents a bii.sh.'l, and bought chickens at 45 cents a pair. IIow many pairs did I get? 3. What is the value of 972 busliels hemp seed at 14 cents a peck ? 4. Find the total cost of : 27 bushels, 16 lbs., barley at 45 cents a bushel. 88 bushels, 45 lbs., of wlieat at 96 cents a bushel. 75 bushels, 20 lbs. , clover seed at $o. 10 a bushel. 5. Find the total cost of : 16 yds. cotton at 12^ cents a yard. 42 yds. print at 16 cent.s a j^ard. 144 boxes pins at 75 cents a dozen boxes. 9 pairs of gloves at 60 cents a pair. 14 boxes collars, of 10 each, at 20 cents a piece. 6. A man bought 864 rods of wiro at 3 cents for every 8 feet. He then sold it at 10 cents a rod ; what did he gain ? 7. Find the amount of : 64 pecks of potatoes at 27 cents a busliel. 3128 lbs. of oats at 28 cents a bushel. 1710 lbs. wheat at 88 cents a bushel. 8. If 22 ounces Inead feed 2 soldiers for a day, how many tons, and lbs. of bread will feed 28000 soldiers for 4 weeks ? 9. If 24 men can do a work in 12 days, and each man gets $1.30 a day, what do^os the work cost 1 TIlIl;!) CLASS. 65 10. How much money should a person get for 87 dozen e"gs at 15 cents, 49 lbs. butter at 22 cents, and 178 lbs. wool at $45a'cwt. ? 11. Find the value of 4 bushels, 10 gallons pease at 15 cents a peck. 12. How many apples, at the rate of 3 for 5 cents, can be got with $01.45 ? ^ 13. What will 1113G0 ounces of wheat cost at 95 cents a bushel 1 Exercise XV. 1. Find the cost of : 64 oranges at 30 cents for 8. 27 lemons at 52 cents a dozen. Half a pound of figs at 28 cents a pound. 8G bananas at the rate of 2 for 5 cents. 2. How many paper bags, each holding 15 lbs. of flour, can be filled from the contents of 30 barrels ? 3. Find the bill of tlie following : 81yds. silk at $1.20. 15 yds. print ;it 17 cents. 45 yds. ticking at 38 cents. 108 papers of pins at 6 for 5 cents. 4. What is the value of a load of wheat, consisting of 38 bags, 130 lbs. in each, when wheat is worth 90 cents a bushel ? 5. Find the cost of : 72 oranges at 38 cents a do/en. 29 pencils at 5 cents each. 42 books at SO cents a dozen. 21 b(»ttle8 of ink at 7 for 30 cents. 81 yds. of musPm at 35 cents a yard. 6. Find the total cost of: 50 melons at $1.44 a dozen. 33 eggs at 20 cents a dozen. 56 EXJiRClSi:S IN AKITHMETIC. 7. Find the amount of the following bill : 63 lbs. sugar at 8 cents a lb. 45 lbs. coli'ee at 25 cents a lb. 32 lbs. rice at 18 cents a lb. 92 lbs. tea at 45 cents a lb. 44 boxes of dates at 11 tor 32.50. 8. Find the amount of the follovviujr bill of goods : 45 lbs. sash cord at 50 cents a lb. 28 lbs. nails at 4 cents a lb. 35 lbs. iron at 5 cents a lb. 36 bolts at 12 cents a dozen. 30 hinges at 36 cents a dozen. 9. Find the value of : 75 cocuanuts at $1.44 a dozen. 30 walnuts at 6 for 5 cents. 10, Find the bill of the following : 26 lbs. soda at 8 cents a lb. 13 lbs. bacon at 15 cents a lb. 40 lbs. mace at 20 cents a lb. 36 clothes-pins at 15 cents a dozen. 374 lbs. sugar at 11 lbs. for a dollar. Sold 42 sheep at $6 a head. Bought 20 yds. cotton at JO . 13 yds. print at 14 cents ; 140 yds. carpet at $1.25. How much money have I left after paying my biU ? 12. Find the total amount of : 13 lbs, cinnamon at 10 cents a lb. 45 lbs. ginger at 20 cents a lb. 36 dozen eggs at 3 for 5 cents. 14 lbs. cheese at 12 cents a lb. 32 cocoanuts at 50 cents for every 4. 2 lbs. tea at 75 cents a lb. 13. Find total cost of : 600 lbs. honey at |33 a cwt. 195 lbs. sugar at 16 lbs. for a dollar. 37 lbs. oatmeal at 5 cents a lb. 42 lbs. tea at 75 cents a lb. 80 lbs. biscuit at 13 cents a lb. 11. cents THIRD CLASS. ' 57 Exercise XVI. 1. Find bill of: 9 lbs. nails at 3 cents a lb. 21 boxes tacks at 3 boxes tor 20 cents. 15 dozen hinges at 12 cents each. • 38 lbs. putty at 13 cents a lb. 150 lbs. cord at half-a-cent a lb. 2. Find the the total cost of : 32 lbs. butter at 23 cents a lb. 44 lbs. bacon at 73 cents for 4 lbs. 28 lbs. mutton at 15 cents for 2 lbs. 66 lbs. sugar at 11 lbs. for a doUar. 3. Make out the following bill : 24 boxes eggs of 950 each, at 18 cents a dozen. 41 lbs. sugar at 8 cents a lb. 720 lbs. wliiting at ^ a cent ptr lb. 340 dozen lemons at 3 for 12 cents. 750 cans fruit at ^3 a dozen. 92 lbs. tobacco at 75 cents a lb. 4. Find cost of : 22 lbs. sugar at 11 lbs. for $1. 2 dozen and 6 spools at 5 cents each. 27 yds. cotton at 16 cents a yard. 320 clothes-pins at 8 for 3 cents. 29 lbs. rice at 25 cents a lb. What change, out of 4 five-dollar bills should a person aet who purchased the foregoing bill of goods ? 5. A boy bought 32 dozen lemons at 2 for 5 cents. He then sold tlie whole lot at 50 cents a dozen ; what did iie gain ? 6. How many sheep at the rate of 3 for |21 can I get with $763 ? 7. Find the bill of : 280 yds. cotton at 10 cents a yard. 560 yds. print at 13 cents a yard. 900 yds. braid at 35 cents a dozen. 40 dozen skeins silic at 3 for 40 cents. 432 pins at $1.25 a gross. 58 EXBKCISES IN AUITHMETIO. fj 8. Find bill of : 7 lbs. tea at 65 ceiifcs a lb. 4 lbs. coffee at 35 cents a lb. 7 lbs. sugar at 12 cents a lb. 8 lbs. raisins at 9 cents a lb. 8 lbs. cheese at 14 cents a lb. 13 lbs. rice at 9 cents a lb. • 9. Find bill of : 20 lbs. tea at 65 cents a lb. 41 lbs. pork at 15 cents a lb. ^ lb. pepper at 20 cents a lb. 3^ lbs. soda at 12 cents a lb. 10. Find bill of : 32 yds. tape at 12 cents for 8 yds. 32 dozen eggs at 2 cents each. 45 lb. butter at 2 cents an ounce. 1G80 ounces tea at 45 cents a lb. 11. Find bill of : 36 yds. braid at 14 cents a dozen yds. 48 dozen eggs at 12 cents a dozen. 56 cans salmon at 7 for a dollar. 300 lbs. sugar at 15 lbs. for a dollar. 60 dozen lemons at 3 for 8 cents. 15 score clothes-pins at 5 cents a dozen. 38 gross pencils at 6 cents a dozen. ^ a gross pens at 10 cents a dozen. 2 doz. oranges at 3 cents each. 45 score paper fasteners at 2 for a cent. 110 sheets paper at 2 for 5 cents. 12 dozen lead pencils at 4 cents each. 24 slates at $1 a doz. 12. Find the cost of 15 bushels apples at ^ a cent a pint 13. Find the cost of 7 bushels pears at 3 cents a lb. THIRD GLASS. 59 Exercise XVII. 1. Find the total amount of : 28 gross pencils at 2 for a cent. Half a quire paper at 3 cents a sheet 20 score lead pencils at 4 for 15 cents. 9 dozen sponges .it 30 cents each. 42 elastic bands at 60 cents a dozen. 2. How many dozen apples at the rate of 2 apples for a cent, can r get with the money received for 36 bags of potatoes at 36 cents a bushel? • 3. Find the total amount of : 28 lbs. tobacco at 75 cents a lb. 42 lbs. cinnamon at 2 cents an ounce. 36 lbs. rice at 25 cents a lb. 24 lbs. ginger at 3 cents an oz. 45 lbs. pepper at 30 cents a lb. 40 lbs. nutmegs at 5 cents an oz. 4. Find bill of: 42 gallons coal oil at 10 cents a quart. 36 bags apples at 25 cents a bushel. 32 ounces almonds at 20 cents a lb. 45 lbs. cinnamon at 3 cents an oz. 20 dozen eggs at 3 for 2 cents. 19 lbs. biscuits at 13 cents a lb. 5. Make out the following bill: 38 lbs. pork at 15 cents a lb. 19 lbs. butter at 22 cents a lb. 37 lbs. honey at 3 cents an oz. 42 lbs. pepper at ^ a cent an oz. 18 lbs. tea at 87 cents a lb. 51 cocoanuts at the rate of 3 for 55 cents. 6. Find the cost of 28 baskets peaches, of 48 dozen each, at 6 for 10 pens r.t 13 cents a doz. 448 score pencils at 4 for 10 cei>ta. 19 boxes chalk at 20 cents a box. 45 doz. slates at 2 for 25 cents, 96 packages of seals at 50 cents a doz. . 8. When 9 lbs. of tea are taken in exchange for 45 lbs. cheese at 11 cents a lb., what is tea worth a lb.? 9. Find the total value of : 8 lbs. beef at | of a cent an ounce. 17 yds. cotton at 13 cents a yd. 6 pairs of cliickens at 65 cents a pair. 10. Find the price of 3 bundles of socks of a dozen pairs each at 45 cents a pan*. "^ 11. Find the bill of ; 768 lbs. cheese at 7 cents a lb. 287 lbs. butter at 19 cents a lb. 178 doz. eggs at 13 cents a doz. 2 kegs of lard, of 32 lbs. each, at 1-4 ce.x.o u io. 12. Find the value of 12 pecks, 3 qts., raspberries at 10 cents a lb,, assuming 3 quarts to be equal to 4 lbs. r ^^din??^-''*^ a certain number of bushels pears at 3 cents a lb., for $92.16 I sold 2 pecks, 1 gallon, what fractional part of the quantity bought was the quantity sold ? THIKD CLA8S. Exercise XXI. 1. Find the total cost of : 32 yds. braid at 18 cents a do/.en. 45 yd«. print at 14 cents a yd. 29 yds. muslin ;it 15 cents a yd. 450 dozen Imtlon.s .-it 8 for 2 cents. 55 spools tliread at 11 for 50 cents'. 72 pair braces at $3 a dozen pair-s. 95 yds. carpeting at $1.25 a yd. 2c Find amount of the follovvinf' : 475 lbs. cheese at $12 a cwt. 93 lbs. liaiu at $15 a cwt. 20 lbs. sugar at 10 lbs for J«l. 36 lbs. rice at 22 cents a lb. 70 ibs. tea at 70 cents a lb. 3 boxes th;H of 2 ibs. each, at 2 cents an ounca 128 ounces raisins at 20 cents a lb. 56 lbs. cotfeo at 40 cents a lb. 3. Find bill of : 49 yds. lace at 28 cents a yd. 63 yds. muslin at 14 confs^•^ yd. 117 yds. bifiid at 3 yds. for 10 cents. 57 yds sliirting at 18 cents a yd. 63 yds. cotton at 11 cents a yd. 12 dozen iind 3 l)i-oon)s at 2o cents each. 2 shawls at $5.24 each. 99 yds. linen at 45 cents a yd. 4 dozen and 4 spixjja at 5 cents each. 31 dozen tape at 9 cents a dozen. 20 gross pins at 8 cents a dozen. 4. Find bill of : 320 l})s. grapes at 4 lbs. for 15 cents. 63 boxes of tigs at 3 boxes fur 60 cent*. 120 oranges at ?5 cents a d(»zen. 34 dozen cans f.-uitat 2 for 25 cents. 54 1})S. sugar at 18 lbs. fur a, dollar. 16 lbs. dates at li cents an ounce. 36 Iba. biscuits at"l5 cents a, lb. 80 ounces caudy at 25 cents a lb. fi7 68 EXERCISES IN AUITIIMETIC. 6. Find total amcnnit. of : 75 tons of hay uc 45 cents a c\vt. 20 lbs. p;>rk at $8 a cwt. 17 lbs. beef at ] 5 cents a lb. 38 lbs. mutton at 4 cents an ounce. J)() barrels herring at $60 a dozen barrels. 54 bags potatoes at 80 cents a bag. 6. Find bill of : 60 yds. cotton at 12| cents a yd. 32 yds. dress goods at; '38 cents a yd. 16 yds. tweed at 80 cents a yd. 45 dozen pans at 14 cents each. 72 plates at $3 a dozen. 150 dozen cans lobsters at 4 for a dollar. 16 pairs mitts at $Q a dozen pairs. 7. How many hats at 9 for $27 can I get with $81 ? 8. A merchant sold : 13 yds. calico at 12 cents a yd., 19 yds. muslin at 23 cents a yd., 17 yds. flannel at 48 cents a yd. He took in part payment thereof 38 bushels of potatoes at 37 cents a bushel and the balance was left on credit. How much money will begin the new account ? 9. Sold on the market 23 lbs. butter at 27 cents a lb. I then bought 13 lbs. sugar at 7 cents a lb. and 4 lbs. coffee at 35 cents a lb. How many lbs. of currants, at 6 cents a lb., can I get with the balance of my butter money 1 10. If 42 reams of music paper cost $604.80, what is that a quire? 11. At 24 cents a score, a mercliant paid $84.24 for 9 barrels of eggs. How many dozen of eggs were there in each barrel ? 12. Make out the following bill : 5 dozen Iwit-hooks at 40 cents a dozen. 3 door knobs at 15 cents each. 3 rack pulleys at 20 cents each. 25 lbs. nails at 4 cents a lb. 3 priirs hinges at 23 cents a pair. 2 door locks at 30 eents each. 7 lbs. cut nails at 8 cents a lb. 9 do'/Am screws at cents a dozen. 3 padlocks at 25 cents each. 3 luvsps and staples at 15 cents each set. 2 doz. bolts at 20 cents a dozen. 5 lbs. sash-cord at 90 cents a lb. 5 yds. screening ^f. :VA cents a yd. " i"t(iiiii1iliii1iii THIRD CLASS. G9 13. Find cost of: 420 oranges at 90 cents a score. 132 boxes lii^'s at $1.80 a dozen boxes. 7 dozen and 9 peaches at 3 for 2 cents. • Exercise XXII. 1. Bought 72 horses at $90 each ; 2 of tliem died. At what price each must I then sell the remainder of my horses to gain $1920 on the whole lot ? 2. Find the value of 96 cwfc. and 48 lbs. of timothy seed at $1.25 a peck. 3. A railway company paid $39600 for wire at 3 cents a foot ; how many miles of wire did the company purcliase ? 4. Find the cost of 48 cwt. and 1 bushel of pea.se at 72 cents a bushel. 5. Bought 75 cows for $38.25 a head ; fed them 9 tons of hay at $16 25 a ton, and then sold them at $00.20 a head ; find my gain per head. 6. If three coffee-trees produce 8 lbs. of colloe a year, on an average, ft)r 4 years, wNat is the value of the coii'ce, grown on 144 coffee-trees, at 38 cents a lb. ? 7. If the sum of two numbers is 37H5, and the greater number is 249 more thaii the smaller, what is the product oi tlie two numbers i 8. Bouglit 59 horses at $65 each ; 9 of them died, and I sold the remainder so as to gain $205 on the lot ; what did I get for each horse sold 'i 9. A farmer traded 570 lbs. of old iron, worth 5 cents a lb., with ii stove-dealer for a new stove worth $32.40, and paid the balance d e in cash. IIow much ca^h changetl hands ? 1 >. A horse dealer goes to Europe with $25,600 cash to buy stock ; he buys 59 c<»ws at $40 ahead, and 50 horses at $130 a head ; liow many ponie.s can he get witii the balance of his money, if a p( »ny costs | as much as a cow i 11. A man bought cordwood for $140, and found that by selling it again at $5.70 a cord he gnined $59.50 on all he .sold. How many cords did he sell ? 12. Sold 59780 lbs. flour at $8. 87 J a barrel ; find my receipts for flour. 13. If 6 men mow 12 acres in 10 hours, in what time will 72 men mow 48 acres ? 70 EXERCISES IN ARITHMETIC. Exercise XXIII. 1. If 24 men do a work in JO days, and 40 boys do it in 8 days, which will be the cheaper, — to get boys to do it at 40 cents each per day, of men at 75 cents each per day ? 2. Find the prodnct of two hundred and four thousand and seventy, and six thousand seven hundred and thirty-eight. 3. Find the sum, ditferenco, product and quutient of 9318375 and 825 ; then, add the results. 4. Square 6382, and divide the product by 3191. 5. Find the value of 77 baskets of peaches, of 9 doz. each, at 3 for 2 cents. 6. If 32 ounces of bread feud a man for a day, how many tons will feed 2400 men for a week ? 7. What will 3G60 lbs. of potatoes cost (a) at 20 cents a bushel ? (6) at 7 cents a peck ? (c) at 3 cents a quart i 8. What will 32 tons of hay cost at one cent for every 64 ounces ? 9. By factors find the result of each of the following : (a) 8762135 -j- 105. (6)824x21-7-84. (c) 360x625-7-1000. 10. Multiply 44092 by 704, and subtract 31040767 frcmi the product. 11. Find the cost of 688 lbs. butter at 2 cents an ounce. 12. What will 96 bushels of potatoes cost at a third of a cent for 10 ounces ? 13. Square 16920009, and 8ul)iract one hundred thousand billions 2 lbs. of hay at $22.50 a ton. G225 bricks at $S.'26 a thousand. 936 feet of lumber at $2.37| a hundred feet. 4 lbs., § of an oz. butter at 48 cents a lb. 3. Bought a horse for $80 ; sold him again for $110 ; then rueing my sale, I bought him back for $120. What would I lose by 10 such transactions ? 4. A plot of ground is 2 chains long by 5 rods wide, and it is planted with strawberries. Wliat is the value of the crop, assuming that 4 quarts grow on every square yard of the plot, and that berries are worth $2.80 a bushel ? 6. A farmer, who owns a farm of 100 acres, 40 square rods, sells off a plot 3 chains, 75 links long, by 3 chains wide, for a school-site. How many acres and square rods has he left ? 6. The sui:\ of two numbers is 909 ; the greater number is 504 ; the product of the two numbers decreased by the product of the digits in their difference, and the result, then, divided by the diilerence between the numbers gives what final result ? 74 EXERCISES IN AUITIIMEI'IO. Ml- >ft 7. A sack of pease weighs 2 cwt., 65 lbs., 8 ozs., and a farmer's wagon is loaded with 25 sich sa(;k3. (a) What, is his load of pease worth at 72 cents a bushel ? (6) How much less than 3 tons, 4 cwb., has he on liia wajjon? S. A pile of 4-ft. wood is 90 ft. long and 6 ft. high. What is it worth at $4. 18^ a cord? 0. A's capital is -/j of $45000, which is 3^ times as much as B's. Hi)W uiuch money has B le^sa than A ? 10. Change ^j to an equivalent vulgar fraction, the diflferenc^ between whose terms is 13. 11. Wliat is the total cost of : 15 tons bran at 00 cents a cwt. 7 tons, 400 ibs. middlings at 75 cents a cwt. 40 bushels, 15 lbs. barley at 80 cents a bushel. 14 bushels, 14 lbs. ry<; at 92 oents a bushel ? 12. If f of a ton of coal cost $9, what is the value of 5 tons at the same rate ? 13. (rt) What is the value of 50000 ounces of tea, put up in 5-lb. caddies, and sold at the rate of $36 per dozen caddies ? (6) Add £4, § shillings, ^^^d. Exercise XXVIII. 1. Find the value of 15 tons, 150 lbs. of coal at $8.40 a ton. 2. A man walking the distance of 18 miles, finds, at the end of 2 hours, 40 minutes, chat the distance he has got to go is 1^ times the distance he has gone. Find his rate of travelling, in miles, per hour. 3 A man spends $80 in buying eggs at 16 cents per dozen, and sells them at the rate of 8 for 20 cents, what is his gain ? 4. Sold a horse for $153 and thereby lost -^j^ of what he cost me ; at what price would I have gained ^ of what he cost me ? 5. Paid $3621.35 for wire at ??40 a mile. How many miles and rods did I get ? 6. Bought 45 turkeys at 90 cents each, and | as many at $1 each ; sold the whole lot at $1.40 each ; find my gain. 7. A man has 4 fields of sheep ; in the first he has 150 sheep ; in the second 1^ times as m;iny as in the first ; in the third f as many as in the first and socojid together ; and in the fourth 25 less than half as many as in all the other fields. What is the value of his Qiitire flock at $6.20 a head ? THIRD CLASS. 75 8. What will 7 loads of wheat, each containing 67 bushels, 57 lbs cost at !»>)i a cental ? 0. Subtract H^ from one hundred and ninety ninths ; then Bubtraoc f^ honi the result. 10. Ileaolve each of the fallowing into its prime factors • 2520, 30030, 12yf> and 5544. 11. How many gallons and quarts must be taken from a tank 7 fj3et long. 3 feet wide, and 5 feet deep, tilled with water, in crder that there may be t;he greatest possible nunibur of even barrels of 31 2 gallons each, left in it ? How many barrels will remain in the tanK I 12. Bought580 lbs. mai.le sugar at $15 a cwfc. ; kept 1866 ounces for my own use. At what price per lb. must I sell the remainder of It, Hi order that I may gain ^ of my outlay 'I 13. A 's money is j% of B's, but if A gives his money to B, B will then have as much money as C. How much money has each, eiven that they, together, liavf $25 ? ^ » 8 Exercise XXIX. Find the L.C.M. of each of th.! following : 1. 2, 4, 6, 19, 38; 54 and 76. 2. 3, 7, 9, 15, 18, 36, 42 and 63. 3. 7, 11, 42, 90, 154andG30. 4. 24, 108, 180, 84, 96, 12, and 48. Find the G.C.M. of each of the following : 6. ll'iO and 1827. 6. 6550 and 7991. • 7. 32!)()7 and 50061. 8. 13620, 14074 and 27694 Reduce each of the following fractions to an equivalent fraction in its lowest terms : 9. 377 123. and 406 10. 2828 206. 5403. and 6363 12607. 11. 1128 17043. and 1269 18525. 12. 3018 323. and 8551 7619. 13. 777 715. and 814 741. H f 76 Simplify : EXERCISES IN ARITHMETIC. Exercise XXX. 1- 20J-2i + *. 3. l + ll+HA+i*. 4. 2| 14 5. (a) (?-ti)^(l+f); (6)^-f^|+§. 6. (a) If X li X 2 ; ^6) i^« ; (c) ijl^^i^ + ^. 7. 54' -7- 15.^x8. 2^ 8. 4ixCf-^— x76. 7 9. fx5^xl/5x|f,x7. 3HU ?xfxex2^ 12. Fi.id^tlie L.C.M. of 1836, 1482 and 19.18, and add j^^^. li^j and r/s^ 13. Simplify : (a) 2 -; ('>) 4| of ^ 1 + 3 + li 97 97 I r/i 5 Exercise XXXI. 1. How many ounces of hay are there in a load containing 2 tons, d cw't., 18 lbs.? ® 2. How many miles, rods, etc., are there in 82080 inches ? 3. Find tlie value of 19 gals., 3 qts., 1 pint of coal oil at 3 cents a pmt. ^oiioa THIRD CLASH. 77 4. A fHirner'.s cTop consists of If? ncn^t^ 120 sij. ri)d8, cf uats ; 19 iiuros ion .s(j. rods of whoat ; and lO acres 76 sq. rods of barley. How mucli land h.as he under crop 'i 5. A man trav^^ls 9 miles, 216 r<»d.s, by railway and 17600 yards by sh nnbuat. Which "i\,tv doej-. he t lavol the farther and how much 1 6. A merchant bouj^ht 38 gals., 3 qts., 1 pt., of vinegar. He then .sold 13 gals,, 1 qt., to one man, and 14 ijala., 1 pt., to another. How nmch had he left? 7. A farnier reaped 8 acres, 120 H(p rods, of land each day for 7 days. Ht>w much did he reap during the 7 days ? 8. Out of a cistern rontainin*/ 57 g40U; lie tliuu sold I of the lot for $8400 at $80 a head. What did the entire lot cost him per head ? 3. A tract of ground, 50 rods long, and J of a mile wide, is divided into 160 lots of the same size. What fractional part of an acre does each lot contain ? 4. A grocer sold 3 ounces of tea for 15 cents. How much cheaper is tiiat than $1 a lb. for tea ? 6. If 40 men can mow a field of 19 acres in 17 days of 5 hours each, how many acres can 17 men mow in 40 days of 10 hours each ? 6. How many 2^ inch cubes may be cut out of a block of stone 5 feet long, 3 feet 1^ inches wide, and 10 inches deep ? 7. What is the value of : iof f^l of ^ i-§ of l-f of an acre at 5| cents a sq. yard t 8. Find the value, in dollars and cents, of 15 bushels of barley at 1^ pence (Stg.) a pii't 9. A and B together take 50 hours to do a certain piece of work ; but with C's help they could have done it in 18| hours. In what time could C alone have done it ? 10. If 126 sheep are bought for $1,038, and sold for $1,953, what is the profit on each sheep ? 80 ISXKRCISES IN ARlTHMIiTIC. II. The dirtbrence between ^ of a number and the half of it is 14- find the number. ' 12 Find the value of l + HH,\ + ^, + ,\ and i\-} + A; multiply the results together and reduc the product to its lowest terms. u ^^d^/' -^ '^"'^o^ ^'^^ together $1,330. For every $b that A has, B has ^0, and C ^8. How many dollars has each ? Tables (Miscellaneous). MONEY. £1 Sterling = |4.86|, or £15 Sterling =$73.00 100 cents = $1.00. (100 cent pieces weigh 1 lb. Avoirdupois). • :fh ON LONG MEASUKE. 6280 feet = 1 mile. 1700 yards = 1 mile. 320 rods = 1 mile. 80 chains = .1 mile. 6 feet = 1 fathom. ON SQUARE MEASURB. 160 square ruds = 1 acre. 4840 square yards = 1 acre. 109000 square links = 1 acre. 10 square chains = 1 acre. 10 chains square = 10 acres. A SURVEY. > It's CHAUI. 66 feet long. 22 yards " 4 rods " 100 links " THIRD CLASS. ON MEASURK OF CAPACITY. 81 ^ A gallon of water weighs 10 pounda. A cubic foot of water weiglis 1000 ozs., or 621 lbs A cubic foot of water is 25 ciuarts, or C| galbns." ' A t-n of slupping is 40 cubic feet. (As for exa.nple : A ship of 600 tons ::-. 600 x 40 cub. ft., s.ace in hold for shippingt Various Weiohts and Measures Established bv Custom. Plastering hair, 8 lbs, to the bushel. Orcliard grass seed, 14 lbs. to the bushel Red Top, 14 lbs. to tlie bushel. Blue (Kentucky), 14 lbs. to the bushel Bbie (Knglisli), 24 lbs. to the bushel. Dried apples, 22 lbs. to the bushel. Charcoal, 22 lbs. to the bushel. Bran, 20 lbs. to the busliei. Dried peaches, 28 lbs. to the bushel. Oats, .'54 lbs. to the bushel. Malt, 3G lbs. to the busliel. Cranberries, 40 lbs. to the bushel. Castor beans, 40 lbs. to the bushel. Hemp seed, 44 lbs. to the bushel. Timothy seed, 48 lbs. to the bushel. Hungarian grnss seed, 48 IKs. to the bushel Millet sf-d, 48 lbs. to the bushel. Barl.»y, 48 lbs. to tlie bushel. Buckwheat 48 lbs. to the busliel. Apples (undried), 48 lbs. to Mie bushel. Canary seed, 60 lbs, to the bushel. Corn meal, 50 ibs. to the bushel. Rape seed, 50 lbs. to the bushel. Coarse salt, 50 lbs. to the bushel. Flax seed, 50 lbs. to the bushel. Indian corn (shelled), 50 lbs. t<, tlie l)ushel. Rye, 5C5 lbs. to the busliel. Fine salt, 56 lbs. to the bushel. KSweet potatoes, 50 lbs. to the bushel. Wheat, CO lbs. to the bushel. ^2 EXERCISES IN ARITH.VIBTIO. Pease, 60 lbs. to the bushel. Rod and alsike clover st'cd, (JO lbs. to the bushel. Beans, 60 lbs. to the bushel. Onions, 60 lbs. to the bushel. Potatoes (heaping measure), 60 lbs. to the bushel. Turnips (heaping measure), GO lbs. to the bushel. Beets (heaping measure), 60 lbs. to tlie bushel. Carrots (heaping measure), 60 lbs. to the bushel. Parsnips (heaping measure), 60 lbs. to the bushel. Corn (on cob), 72 lbs. to the bushel. Coal (bituminous), 70 lbs. to the bushel. Coal (anthracite), 80 lbs. to the bushel. Miscellaneous. PArER. 24 sheets of paper = 1 quire. 20 quires = 1 ream. 2 reams =- I bundle. 5 bundles (10 reams) = 1 bale. 14 lbs. = 1 stone. 1 lb. = 16 ozs. (Avoir.) =: 7000 grains (Troy). 1 oz. (Avoir.) == 437| grains (Troy). Exercise XXXV, 1. Make out the following bill : 10 bales paper at 3 cents for 5 sheets. 20 gross pencils at 5 cents each. 240 dozen pens at 120 score slates at a gross. .50 a dozen. 2. From 29 acres, 159 sq. rods, 30 sq. yds., take 10 acres, 158 sq. rods, 30| sq. yds. 3. A merchant bought 72 quarter-barrols of beer at .^1.50 each and sold it out at 3 cents a pint. Fin '' his gain. 4. Sold a piece of land 40 chains long by 18 chains wide at $80 an acre. Find selling price. 6. If 60 sheep cost $630, what would 14 sheep cost? THIRD CLASS. 83 'VhX.^ f^it-dealer bought 5 barrels of apples at $2.75 a barrel '*''^^' ^^ "xen and paid $75 down wliich wasf of the price of the oxen ; how nnnv c. ids of wooT'ar^S cora, 'vyill pay the bahmce due ? " ' *^^ '' 9. How often does the square of 8t)8040 contain (873 x 441-i-C3) ^ how n.tnv"t^>nrlT ^? '''''!'' '"' '"' ^^"^' ^^■'^"^ ^"^^ 1"1» to another ; 11. A luaij burned 5 cords of wood every four weeks • at thi« r-.f. 12. Sold an iron box, weif^hin^ 340 lb« filluri »ruv^ i i • i ii.rr '^'^Qjn iv.„ ^i.- '^' "'^''f •» ^•' °^^*^<1 with barley weiifh- mg J.S840 los. gntting for the iron 5 cents a lb., and for the barlev /o cents a bushel ; what did I get for tiie whole ? ^ 13. A bin lioJds 30240 lbs. of wheat, or it holds one-third more ll)s. of oats ; how many bushels of oats does it hold ? Exercise XXXVI. 1. Find the total cost of : 25 lbs. flour at $4 a cwt. 50 lbs. oatmeal at 3 cents a lb. 16 lbs,., 8 ozs. butter at 3:,' cents a lb. A peck of apples at (JO cents a bushei. 2. One man has 25 thousand cents, and Hiio'!>orman hn«, fl,« proceec^ of 3456 lbs. of barley at GO cents a busle h How man^ lb sugar at 8 cents a lb. can they both, together, buy ? "^^"3^^'?«- are pi^:^it";:r h:;st^ ^' ^ '"''' ^^^ ^^^^" ^^^ '''' p^^^^ -^-^ 4. Find the total cost of : 32 lbs. tea at 5 cents an ounce. 24 lbs. coffee at 37 1 cents a lb. 14 lbs. pepi)er at ^ a cent an ounce. 30 ozs. soda at 10 cents a lb. 117 bars soap at $1 for 9 bars. 1404 eggs at 23 cents a do/.en. 2 dozen lemons at 5 cents for 2. 16 lbs. tobacco at 87i cents a lb. 36 lbs. sugar at $i for 14 lbs. 12 lbs. raisins at 4 ozs. for 3 cents. 04 EXKHnsBS IN AKITHMKTIC. 6. Divide 28(547 J 2:i0()0001)08!»r)8 \>y SH)8I. 6. A man bought, 70 rods of ro[)e at 2 cents for 5 feet, and sold it at 8 cents a rod ; what did he gain ? 7. A faf rner sold 54(50 lbs. i)ea.se at (57 cents a busliel ari4 |>oUght cotton with th# money at 7 cents a yard ; how many yards did he get ? 8. In a mow there are (59840 lbs. of hay ; what is it worth at (a) $2.70 a cwt ? (/>) 116 a ton ? 9. A man gave $180 for a horse and ^ as much for a saddle ; what did they both cost ? 10. If 5 tons of coal are ecjual to 9 cords of wood, and a family burns 54 cords of wood in a year, wjiich is the cheaper to burn wood or coal when wood is $4. 25 a cord and coal $7 a ton ? 11. Ten boys walk 2.%0 rods each in 2 hours ; how many miles is that altogether? 12. Find the value of 72800 pickets at $24 a thousand. 13. A drain, 70 rods long, cost $10.50 to dig it ; what is that for 22 yards ? Bxeroi8e XXXVII. 1. If 7 horses cost $1200, what is the value of a car-load of 12 horses ? 2. Find the cost of 7000 lbs. bran at $.15 a bushel. 3. If 4 bushels of oats are worth $1.16, what is the value of 578 lbf>-.? 4. Find the amount of the following bill : 99 lbs. sugar at 11 lbs. for a dollar. 29 lbs. soda at 15 cents a lb. 8 ducks at 75 cents a pair. 40 lbs. butter at 23 cents a lb. 17 gals, vinegar at 10 cents a quart. 33 gals, syrup at 80 cents a gallon. 6. From the sum of 17 tons, 1999 lbs., 15 ozs. ; 213 tons, 685 lbs., 10 ozs. ; and 71 tons, 041 lbs., 8 ozs., sul)trart 241 tons, 1741 lb- <> ozs. 6. Multiply the sum of (53 and 47 by their ditiereiico 7. How many bags of rice of 25 lbs. each can 'oo made i >« i ^ •> bags of 625 each 1 THIRD CLASS. 85 8. Jamos has 20 half dollar pieces, 15 quarter-dollar oieop^ ^^ hve-cent pieces and 1000 coppek How muclVmoneXrhc^ ^ Find il:T2e:r:.tT "'" "' '' ^'^^^ ^''■^^' ''^^^'"^' ^«^-^- 10. Find the cost of 63 cocoanuts at $1.60 a dozen. poike J|377o r'' ^"^""' ^^" ' ^^^^ ^^ ^^-^•^' '--^ i" '"^ 12. If 5 pigeons or 30 sparrows eat 1 quart <.f Ln-ain in a dav hou- niany bu.shels of grain will feed 60 pagoonl and 210 spa^rowsT^eeU 12 oz8.!^ot/?'* ""^ ^''' ""'' ^^-^^^ ^^"* ^^" * '^^ ^ ^'^ddie of 21 lbs., Exercise XXXVIII. h ^^ ^?/,"r^8 *^f ^vood equal 3| tons of cr)al, how manv cords of wood would last a family that burns 26 tons <>f co.7in a year? 2 A "skip" of hees makes 60 lbs. of honoy in a season • how much money, at this rate, would 6 dozen such^Sski.^TZ'in in a season, when honey is worth 20 cenLs a lb. ? ^ ' nnJ'Jl ^^'^ cost of fencing be 10 cents a yard, what would be the cost of fencmg a field, the four sides of which measure 820 rods f 1 t A florin IS IS^^ cents, and a man has 630 florins with which S^es^g^tf '""'^"^ ^""^^ '^^''^ '-'^y pounds Hud'.unres by im''^^'^'^"^ "'^ """' ""^ ^^^ ^^^ """'^'"^'^ ^^'^^^ «« <^« 1«0 inclusive 6. If 12 apples cost 9 cents, what will a bbl. of 520 dozen cost ? . Jl ^l^hf^^^ of turnips f,ed a cow for a week, what will it rfof^rceuLT^' "^^"^^^^ '' ' ^'^' ^-'^ Whe.rt::^i;: cenL'lt'e!^' '"' '' '' ^^''^'^^ '' ''^' ^^' ^« ^•>-' --"^^ '^^ •'^^> 9. Find the cost of 560 lbs. of oatmeal at 50 cents a stone, producf by l?^'' ^ '''"''' ^-'^ ^^^^'^' ^'^ ■^'^^'^^^'^ ^^>' 48, anu divide the 11. Divide 8697 bushels, .i pocks, by 15 bushels, I i-eck, 2 quarts. 86 EXKRCISES IN ARITIIMF/riC. 12. A fislierman buys 8420 lbs. of white-iiHb at 12 cents a lb. He buys barrels at 25 cents oucli, banols up his fish, and then soils them at $42 a barrel. Find liis gain. 13. Fmd the amount of the following bill of goods : 42 yds. tape at 2 cents a yd. 45 yds. cott(m at 8 cents a yd. 36 yds. braid at 20 cents a dozen. 90 yds. cloth at CO cents a yd. 40 pairs mitts at 83 a dozen pairs. 29 yds. tweed at 70 cents a yd. 53 yds. cotton at 9 cents a yd. 72 yds. lace at 40 cents a yd. * 64 yds, flannel at 55 cents a yd. 96 spools at 52 cents a dozen. 19 lbs. cotton yarn at 9 lbs. 8 o/s. for a dollar. Exercise XXXIX. 1. Find the cost of 100 dozen baskets of grapes, of 35 lV»s. each, at $6.75 a bushel of 48 lbs. 2. If 12 bushels of outs or 4 bushels of wheat cost $3.84, what will 48 bushels oats and 16 bushels of wheat cost ? 3. If 25 men do a piece of work in 24 days, working 8 hours a day, in how many days would 30 men do the same [)iece of work, working 10 hours a day ? 4. A drover bought 120 pigs at $7.30 a head ; he kei)t them 2 weeks at a cost of 37 cents a head, per week, and then sold them at $8.25 a head ; find his gain or loss. 5. How many oranges at 60 cents a dozen can be bought with the price of 16 crocks of butter, of 24 lbs. each, at 37^ cents a lb. ? 6. Find the value of 48 hogs, of 450 lbs. each, at $7 a cwt. 7. What number is it fron\ which the square of 00 l)eing subtracted leaves 8 timew 220 ? 8 How many lbs., and oza. < f coft'ee, at 2 cents an oz. , should be taken in exchange for 4752 _\ds. of wire at 3 cents for 8 feet; 912 apples at 30 cents a dozen : 3420 lbs. of wlieat at 88 cents a bushel ; and 16 bushels of potatuas at 13 cents a [)eck ? 9. Find the total cost of 13 doz., 10 score ami 12 gross of pencils at 2 for 6 cents. THIRD CLASS. 87 10. Find the difference between f of 84 doz. egga, and ^ of i of 8000 eggs. 11. If peaches sell at 15 cents a quart, what is that a bushel ? 12. A farmer sold 700 busliels of wheat, ou a speculation, at $1.35 a bushel. Wliat did he gain, if the wheat cost him | of f of the stilling price per bushel. 13. M ike out the following bill : 1() lbs. butter at 2 cents an oz. 45 bushels of potatoes at lo cents a peck. 160 ounces of tea at 45 cents a lb. 17 lbs. of coflfee at | a cent an oz. 141 boxes biscuits at 3 boxes for 25 cents. Exercise XL. 1. What is the value of 196 bags of bran, of 30 lbs. each, at $12 n ton t 2. Find the cost of feeding 90 cows for 15 weeks, giving each cow 15 lbs. of hay per day, when hay is ^8 a ton ? 3. If 2 men or 3 women earn $1.50 a day, how much should 20 men and 20 women earn in 20 days ? 4. A dog runs 210 rods in a minute ; how long will he be in running 54(> miles at the same rate ? 5. Find the cost, in Canadian currency, of 360 lambs, sold at 15 shillings Si ei ling, per head. 6. Find the total cost of ; 3M60 lbs. hay at |18 a ton. 35CH) lbs. pork at $8 a cwfc. 600 dozen eg^a at 3 for 6 cents. 7. Multiply 13 acres, 97| rods, by 213. 8. How much, per square foot, is $2.79 a square yard ? 9. How n\uch, per dozen, is 87| cents fl^ pair ? 10. A. nuMi walked 2 miles, 2(i.*i5 feet, 80 voda, in 6 days ; how liiHi\\ yards, fuet, and inches, is thai in a day 1 11. Reduce to inches, 2 aeren, 4-5 r«»d.s, 10 ydtS. 12. If niHIO iiHihoH itf a ship'vs .sounding-line are in the wafer, bow many fathoms d(>up is it i 88 EXEKCISliS IN ARITHMETIC. 13. (a) Paid $100800 for a tract of land at $45 an acre. It was 1220 cliaiiis long ; how many ruds wide was it 1 (h) The sum of two numbers is 10G9 ; their ditlbrence is 059 ; find the product of the two numbers. Exercise XLI. in 1. A man gained $66 by buying wire at 5 cents for 20 feet and selling it at half a cent a foot. How many rods did he buy ? 2. A drover sold 70 sheep at §7.50 a head. He lost $25 of the money received for them and then bought turkeys at $1.25 each with the balance of his money. How many turkeys did he get ? 3. Find the bill of the following : 18 bushels, 24 lbs. barley at 70 cents a bushel. 56 bushe's, 20 lbs. wheat at 87 cents a bushel. 45 bushels, 17 lbs. oats at 50 cents a bushel. 1625 lbs. flour at $4.60 a cwt. 4. In a field a drover had 60 cows anu half as many sheep. He sold 5 sheep and 11 cows for $355. He then sold the rest of tho cows at .^37 a head and the sheep at $6 a head. If tlie^' all cost him $1800, what did he gain on the entire lot ? 5. Find the cost of 11 bags of apples each containing 72 lbs., at 60 cents a bushel. 6. A merchant had 1654 lbs. tea ; he sold 60 lbs. one day, 308 lbs. the next, and 407 lbs. the third day. What is the balance of tea on hand worth at 87 cents a lb. ? 7. Half the sum of two numbers is 4331, and half their difference is 3353. Find the two numbers. 8. What number divided by 496 will give 49 for quotient and 207 for remainder ? 9. A brewer sells a quarter of a ton of malt ; how many bushels does he sell ? 10. A, B and C have each a tract of land. A has 16,000,000 square links, B has 3 times as mucii, ami C has 240 acres. What ia the whole of their land worth at $50 an acre i 11. The hold of a barge, of 600 tons burden, in filled with potatoes ; find the value of the cargo at 72 cents a bushel, THIRD CLASS. 89 12. Find the value of 99 lbs. dried ayipk-s at $4.40 a bushel, and 792 lbs. green (unJried) apples at 90 cents a bag. 13. Find the value of : IGOO lbs. castor beans at |3.20 a bushel. 280 lbs. orchard grass-seed at |3.80 a bushel. Half a bushel of canary seed at 20 cents a lb. 2 bushels of sweet potatoes at 1^ cents a lb. Exercise XLII. 1. A feed merchant sold 575 lbs. corn tneal at $1.80 a bushel, 850 lbs. rape seed at $2.70 a bushel, and 30 ibs. flax seed at $1.50 a bushel ; how much did he receive for the whole ? 2. Find the cost of 205260 lbs. of green (undried) apples at 60 cents a bag, allowing thai a bag holds 1| bushels. 3. In 2 miles, 80 rods, 4 yards, how many inches aro» there t 4. (a) How many cent pieces woidd weigh as much as 24 bushels, 10 lbs. of barley ? (6) If laid in a straight row touchiu>* each other \\f)\v far would they reach ? 5. C)ir "The Banks of Newfoundland," the ocean is 9000 feet deep j jjiiw Iftitny fathoms of sounding-line will measure its depth '* n A jiift|| wallcnd 1'iO miles. 80 rods, 34 ft., inches in 9 days ; liuw hi- illij m M/HMl mph da> ? 7. How l(»n|Df will It take a train, running 20 miles an hour, to go from Winn I pug to Oalisj^avy and back, the distance between the two places being 1>65 miles, no time being lost in turning? 8. How many boards each 11 ft. long, laid in a straight line Willi I III ir ends touching each other, would reach a mile ? 9. A farmer sells 7 loads of barley, each containing 3024 lbs. net, at 59 cents a bushel. How much money does he receive ? 10. Divide the product 8064 and 1512 by 3024. 11. If 12 lbs. of tea cost 036 cents, what will 50 lbs. cost ? 12. How many days would it take a man to travel 312 miles at the rate of 3 miles an hour for 8 hours a day ? 13. (a) Divide 2864713 by 120, usinn all the factors of tlie divisor, and find the correct remainder. (6) Divide it also by 120 by long division. no EXERCISKS IN ARITITMCTIC. Exercise XLIII. 1. Reduce 2 acres, 45 rods, 10 yds., 2 feefc, to inches. 2. From the siim of (50 acres, 116 rods, and 20 acres, 3800 yds., take 75 acres, 118 rods, 8 feot. 3. .\ meichant bought a (!ar-load of pf)tatoes at 80 cents k bag ; the car contained 36000 lbs., and lie sold them out at 15 cents a peck. Find his gain. 4. Find tliu gain on 12 barrels of cider of 31^ gallons each, bought at $0 a b;i.ri el and sold at 3 cents a pint. 5. Find tl»e value of 2 x 1630 lbs. of hay at ^9 a ton. 6. How much will 16 hogsheads of beer weigh more than 15 hogsheads of water, if beer is 1^',, times as heavy as water ? 7i Divide 36 bushels, 2 pecks, 1 quart, by 1 gallon, 1 pint. 8. In 66024 seconds, how many hours, minutes and seconds are there ? 0. A tract of land is 1220 chains long and 80 rods wide; what is it Worth at $45 an acre ? 10. A piece of fencin^ cost 164 at 40 cents a rod. How many chains long was it? 11. A whale weighed 40 tons, and the whale-bone in his jiiws ^ as miich . find the value of the whale-bone at 5^ cents a lb. 12. A received $310 for a house which was $18 more than it cost him. How many £ Sterling did it cc»st ? 13. Bought 8040 lbs. of Hungarian seed at $2.70 a bushel, and G60 lbs. buckwheat at 60 cents a bushel. How many bushels of potatoes at 60 cents a bushel will pay the bill ? Exercise XLIV. 1. Divide 4 years, 2 months, 10 days, by 1 week, 12 hours. 2. What is the difference, iix weight, between 32 barrels of water and 44 barrels of trout ? 3. A man went to town with 12 doz. eggs ; he sold half of them at the rate of 3 for a cent, and the other lialf at the rate of 9 for 5 cents. Next day he went in with the same number of eggs, which he sold at 12 for 6 cents. Which day did he get <"he more money, and how much more ] THFRD CLASS. 91 4. A grocer hout,'lifc 3U gjillous of svruD for »7 RO • K- n,o« edits a qi(,irt. How much did he guiii? 5. Find the cat, of 63 barv.ds of pork at 12 cents a lb. 6. If 9 reams of paper co.st $216, what is that a sheet i a quire i 7. What is the amount of the folh)wing biU : 16 gross crayons at 2 -1../. for 3 cents. 150 lbs. lead at 10 cents a lb. Half a gross of p.ns at 6 for 6 cjiits. 10 dozen penh..Id."i'.s at 25 cents a score. 8. Find the cost of 6 tons, 800 Iby. hay at $1:^ a ton. •>5()^"ounot!''^if ilS"'" '7 *i?„'^T ''^ ?''''"'' *^^ '•"'^' r°^ contains :^^Taul^r"''^' bag, how much is the field w<.rth 5o\aJsV^ ^^''' '^^'^'-''*^^^^ ««^^*" ^«^^-e' ^'ow many bushels will sow M^7o\hif i/fl,i^''^'"-^" 'p ^^l^'^ ^^^ '^« ' '^ «i'^ «»<^h sacks cost ^T)^o./u, what IS the price of potato, s per bushel ? ^^^^12.^ A soldier took 281(]0 steps, each 3 fe.t long ; how far did he nuu?, itiS^ldl^f If; ''^ ^^^^^^ ''' ^^ ^-^^« ^- 20 lbs. How Exercise XLV. 1. Divide the product of 45 x (20 acres, 85 rods, 19 yards), by 15. boa^ ^I ;SZ 'limg?' ''^' ' ""'^^ "^^^' -" build a tight 3. A fanner exchanges 16 sheep for 2 loads of hay at S8 a load and 5(1 turkeys at .^2 each. What were sheep per head ? 4. Bought 75 lambs at $2.50 a head ; one fifth of them died • e'ire'bt"" "'"' ' •"'' '"' ''"""^^^^^^' ^'^ --"" sl.l2.:0 on thJ cub^f?^3?''"''^^'" ''"^^ ^ ^^^'^ -^^^^^^ ^-1^« 640 ^ goi4 2"lll'r ^^-' ' "^'''^ ^ ^'- ' "" "^ circumference turn m IMAGE EVALUATION TEST TARGET (MT-3) // €o 4^ * / 7a \ '0 I.I IAS 128 12.5 | 5o "■^" MHl IL25 i 1.4 6" 1.6 Photographic Sciences Corporation 23 WEST MAIN STI^EET WEBSTER, N.Y, 14580 (7; 6) 873-4523 iV iV '^ s i\ \ ►.V4 92 EXEBCISES IN ARITHMETI' 7. A, B and C paid $25.20 for a supper. A invited 9, B 7, and 17 guests, and each man was as a guest iiimself. How much of the cost of the supper should each man pay ] 8. From 2 tons, 1640 lbs., 3 ozs. resin take 1 ton, 1900 lbs., 12 ozs., and f^nd the coat of the remainder at ^ cont for 4 ounces. 9. If 6 lbs. of flour make 24 loaves of bread, how many loaves will a barrel of flour make ? 10. A drover bought 88 pigs for $440. He then sold 40 of them at $5.40 a heatl. At what price per head must he sell the rest to gain $1G0 on the whole drove ? 11. If 1070 lbs. of hay at $18 a ton, and 6720 lbs. of apples (undried) cost $283.83, what is a bushel of apples worth ? 12. How many bales of ch)th, containing 40 pieces of 36 yards each, worth $.30*a yard must be given in exchange for 3240 lbs. (;f clover seed at $4 a bushel ? 13. Find the total cost of . 2880 lbs. wheat at 87^ cents a bushel. 7240 lbs. hay at ^ a cent for 10 ounces. 2 cwt. of lard at 6 cents a lb. l! I Exercise XLVI. 1. Bought 84 dozen eggs, and lost ^ of them ; sold the remainder at 50 cents a dozen, and gained thereby $16.68 ; tiiid the cost per dozen. 2. If 8 cents is the price of § of a herring, what is the price of •A barrel of 180 dozen 1 3. Find the cost of feeding 42 cows for 20 days, giving each cow 20 lbs of hay and 15 lbs. of bran per day, when hay is $30 and bran $12 a ton. 4. If 41 pigs cost $205, what would a drove of 630 pigs be worth at the same rate ? 5. Divide $650 between 2 l)oys, giving one 12 times as mi'ch as the other, and find the share of each. 6. If you can buy 680 acres of land for $30600, how many acres can you buy for $7425 ( - 7. In 5402764 sc^. feet, how luany acres, rods, etc ? THIRD CLASS. 98 8. What will be the expense of making a railway, 146 miles long, at ,^15.3? - yard ? 9. What is the cost of paving a floor whose length is 33 feet 2 inches, and ])rea(lth 18 feet, at 6 shillings (Stg.) per square yard ? (Answer in dollars and cents). 10. Reduce 4533206 inclie?» to miles, rods, etc. 11. A sack of potatoes weighs 178 lbs. If 6 such sacks cost £2, 4s., 6d. , what will 44 lbs. of potatoes cost? 12. One hundred and fifty men had a piece of work to complete in 65 days ; 20 of the men falling ill, liow much longer was the work under contract ? 13. If 6 horses require 45 busliels of oats to feed them for 3 weeks, how many bushels will feed 42 horses for 6 weeks ? Exercise XLVII. 1. Bougl't 500 doz. oranges at 3 cents each ; lost ^V o^ them by decay, and sold the rest at 6 for 25 cents ; what did I gain ? 2. Reduce 18 acres, 130 rods, 22 yds., 3 feet, 72 inches, to sq. feet. 3. Find the sum of the nine numbers that follow the number, — ninety thousand eight hundred and seventy-eight. 4. The product of 704 and 819 is how many times 91 ? 5. A man having bought a drove of cattle for ^18130, sold 84 of them to a butcher rt $51 each ; the rest then stood him $43 each. How many did he buy ? 6. What is the value of 96 bushels, 28 lbs. of rye at 9G cents a bushel ? 7. How many cords of wood worth $3.25 a cord can be bought with the price of 75 lambs at |10 a head ? Wiiat will be left in cash ? 8. Find the total cost of : 31 reams of paper at 20 cents a quire. 45 doz. pencils at 19 cents a score. A gross of pens at '^ for 5 cents. ^ 9. John Shaw, of Mooreville, sold James Moore on May Ist, 1887 :— -3 lbs. coffee at 33 cents, 12 lbs. sugar at 11 cents, 4 gallons 94 EXERCISES TN ARITHMKTIC. ' < molasses at 88 cents, 7 lbs. tea at 65 cents, 9 lbs. butter at .10 cents, 3 doz. nutmegs v.t 8 cents, 15 lbs. rice at 9 cents. He received in part payment 42 bushels aiiples at 45 cents a bag, and 2 chickens at 40 cents each, and the remainder in cash. How nmch cash did the merchant receive ^ 10. Find the value of (68379 X 29478) H- 987. 11. A woman has 7 gallons of honey to put into jars, and finds that each jar v:ill hold 1 pint 3 gills. How many jars will she require ? 12. Wliat will 1380 lbs. of wheat cost at 87 cenis a bushel. 13. By selling a farm for $3990, I lost as nmcli as 1 would have gained, had I received $5130 for it. How much did the farm cost me ? Exercise XLVIII. I. Find the prime factors of : (a) 240 ; (6) 450 ; (c) 14700. 2 Of what number is each of the following the prime factors : (a) 2S 32, 132 ? Qj) 2, 32, IP, ij^ ? 3. Write out all the odd numbers between 2 and 46. 4. Write out all the e^•en numbers between 7 and 81. 5 Arran<'e the following into groups of composites and primes respectively T 7, 21, 39, 40, 63, 7'.>, 81, 84, 19, 13, 53, 99, 29, 41. 6. Write all the pairs of factors for : (a) 24. (6) 27. (c) 54. 7. Find the L.C.M. of 3, 20, 35, 45, 50, 63, and 70. 8. Find the L.C.M. of 7, 9, 11, 13, 15, and 21; divide the L.C.M. by each of the given numbers ; and find tlie sum of the several quotients. 9. Find the number of busliels and gallons of strawberries which a gardener has. given that he can put the whole lot up into an exact number of 1-quart, 2-quart, 3-quart, 4-quart, 6 quart, or 7-quart baskets. 10. Find th>H.C.F. of 6916, 7448, 9660. . II. Reduce (a) f |^ i {b) V\i and (c) ifgf to fractions in their lowest terms. 12. A boy has three boxes of 125, 135, and 145 marbles, respec- tively, which he wishes to put into an exact number of the largest- sized bags. How many bags will he require, and how many marbles w ill each bag contain i I !:t tHlRD CLASS 95 13. What is the least number which will contain both 8 and >) ae fuctora ? Write the Jird 9 rnultiples of that number ? Exercise XLIX. 1. Find the L.O.M. of 3, 9, 12, 15, 18, 21, 24 and 27. 2. Find the L.C.M. of 8, 16, 20, 21, 63, 90 and 105. 3. Find the L.C.M. of 7, 21, 42, 63, 84, 154, 161 4. Find the H.C.F. of 1836, 1482, and 1938. 5. Find the H.C.F. of 1702, 8214 and 8362. 6. Find the H.C.F. of 9153, 9234, and 9316. 7. Divide the L.C.M. of 1287 and 1386 by their G.C.M. 8. Add t, U» A?^ and §§. 13f 9. Subtract — from 12^|. m 10. Multiply together S^S, 8^ J, ff and 45. IL Divide 13| by 2^V- 12. Find the value, in Canadian currency, of £1095, 864 shillings, 720 pence Sterhng. (Note-£i5 = $73 ; Is. = 24^ cents; and id. = 2^ cents). 13. Fill the value of (a) -; (h) [^ (1 + ^) - 2^ !^ X f]-li ; (c) Find the H 4.1-2H .... intermediate number between | and j^j, having for its denominator 120. Exercise L. i. Add §, i, f, f, and j,V- 2. Add 1/^, 3.7,,, 2i^, and .-^ff. 3. Add 2^^, I, l^\, H. atid ^. 4. Add f, 1,\, 3-^, -il and U%% ' 5. Add i|, 2f, 3a, and i^. ^ "-- T— " " 96 KXERCISKS IN ARITHMETIC. ri 6. Simplify 7. Simplify 8. f^iinplify 9. Simplify 10. Simplify: li+Ht + Vi- 11. Find fclxe sum of 2|, 1^^, 5jV, {g- 12. What is 3 j\ + 2} + 1^^ + if ? 13. Simplify: ^ + ^'^+^^ + 4^ 1. 2. 3. o. fi. 7. 8. i). 10. 11. 12. 13. Exercise LI. Subtract 6^\ from 'V^. Subtract 6i from 8f. Subtract 13^^ from 20^^. Subtract 22/;, from .30g7^. Simplify: 45,^-19^^. Simplify : 4^}^ - 3^'^. Simplify: 5^\r-2/j. Simplify: 14|-9|. Find the difFerencc ))etweon 10^^ and 5fV. What ^s 20 jL- 13 A in Find the ditftirence between 30 ^^ and 9^|. Simplify : 20^t - 14^|. Subtract 10^ from 13 j\. Exercise LII. 1. Multiply together 10},, i\, 2,^1,, and 2^. 2. Multiply tocrether 13i, ||, 2^»5, and j\, 3 Multiply together if, ^, }}, and 3j\. 4. Multiply together f|r if, ti, kh and 1,V- TimiD CLASS. 5. Find "le product of 9^^ and 21^. 0. Find the product of 3\^ and S^f. 7. Find the product of 3^'*^^ and b{\. 8. Find the product of o^\ and 4|. 9. What is lOj^^ X 23^ x Ig x ^\ ? J 0. Simplify : 1 1 x y\ x S^^.j x ?:jV. 11. Simplify: ] i x 22\ x 7,'^ x 22f . 12. Find the value of 71 times 7}. 13. Find the product of 61, ,\, t?"^ and 1|. Exercise LIIl. 1. Divide 5| by 19|. 2. Divide ]| by 3^5^. 3. Divide 4^% by 12|. 4. Divide 8^ by /^. 5. Find the quotient of 9 divided by 6=4^3. G. Find the (]uotient of 7^*^ divided by 1^. 7. Find the quotient of 702| divided by 6. 8. Find the quotient of 728 divided by 3|. 9. What is the value of 2|-rlT^^? . 5 ^ 10. Simplify ■ ^ • 11. Simplify: 12§-f3^j. 12. Simplify: 2^\^1^%. 13. Simplify: 867^9- 97 ANSWERS. PA R1* I . FIRST SECOND AND THIRD CLASSES. ANSWERS. { FIRST CLASS. Exercise I. 1. 3754. 6. 14944. 10. 797059. 2. 14105. 7. 44319. 11. 5390. 3. 15987. 8. 61525. 12. -1139. 4. C22. 9. 73311. 13. 785. 5. 3920. Exercise II. 1. 894. 6. 6600. 10. 10893. 2. 59209. 7. 1209. 11. 3978. 3. 5322. 8. 12010. 12. 64152. 4. 6264. 9. 290. 13. 1909. 5. 1815. Exercise III. 1. 115. 6. 102. 10. 665. 2. 204. 7. 108. 11. 860. 3. 617. 8. 76. 12. 377. 4. 289. 9. 1388, 13. 3065. 5. 258. Exercise INT". 1. 84 apples. 5. 762. 9. 3 miles. 2. 325 yards ; 10 j 6. Sum — 93586. 10. 125. yards farther. ( Diff.— 777326. 11. $8.80. 3. 367. 7. 7 times. 12. 50 rats. 4. 91 cents. 8. 40 cents. Exercise V. 13. 41 cents 1. 3279. 6. $1.75. 10. 108. 2. 3333. 7. 16 marbles. 11. 935. 3. 254727. 8. 900. 12. 229. 4. 5031. 9. 20 more. 13. $124.97. 5. $6.75. 8 ANSWERS. h- 1. 9. 2. $32. Exercise VI. 3. 3980. 4. 999. 5 12950 pounds. 6. The Roven ten -cent pieces. Three of the five-cent p'ecei. Two of the one-cent pieces. 7. 27 (lu.irts. rlO. 444: four hundred 12. 56. Q ^1 75, \and forty-four. 13. 530 cents. 9. $4.00. 11. 72720. 1. 15. 2. 10 crows. 3. $8600. 4. 34 gallons. 5. 22 years old. 1. 99. 2. $34. 3. 3 dozen. 4. 270 sheep. 5. 200 feet. 1. 7. 2. $31.20. 3. $30.00. 4. $9.50. 5. 80. 6. $3.56. Exercise VII. 6. $13000. 7. 159. 8. 20 cents. 9. 123 pears. 10. $35 gain. 11. $19.60. 12. 51282. 13. 0. Exercise VIII. 6. 294 bushels. 10 34 cents. 7. $20. 11. 99 patches. 8. Tim, by 129 points. 12. 9. 9. 1450 hogs. 13. 252. 7. 8. 9. Exercise IX. $39. m 42n \(h) 31 [ , (c) 173 i Sd) 687j 3 dozen. = 1312 ♦otal. 10. 36 apples. rSum = G30 ; and 11. J 630 taken 11 [ times = 0930. 12. 38 years old. 13. 10 years. 1. $6.72. 2. 23 cows and 18 calves, or 41 in all. 3. 13 goats. 4. $2,500. Exercise X. 5. 13. 6. 2487 bushels. 7. $7. 8. 19740 cents. 9. 24609. 10. 6978. 11. 25 feet long. 12. Tom, 50, Sam, 44. 13. 18. ANSWERS. SECOND CLASS. Exercise I. 1. 12944 ; 19416 ; 25888. 8 34588 ; 43235. 2. 3374; 6061; 6748. 9 8644 ; 10805. 3. 19608 ; 29412 ; 392 1(). 10. 28656 ; 35820. 4. 24164 ; 30205. 11. 16556 ; 20695. 5. 8064 ; 10080. 12 26884 ; 32355. 6. 34988 ; 43735. 13. 18512 ; 23140. 7. 30792; 38490. * Exercise II. 1. 148020. 6. 312930 10. 423845. 2. 63530. 7. 143235. 11. 106980. 3. 137950. 8. 60840. 12. 14G085. 4. 323920. 9. 235695. 13. 40350. 6. 160985. Exercise III. 1. 592584. 6. 620374. 10. 178026. 2. 129642. 7. 72984. 11. 77184. 3. 470874. , 8. 251022. 12. 430116. 4. 239202. 9. 425448. 13. 182436. 6. 444474. Exercise IV. 1. 212842. 6. 292859. 10. 279069. 2. 501802. 7. 85148. 11. 549353. 3. 90048. 8. 607103. 12. 151228. 4. 207697. 9. 518553. 13. 691348. 5. 496356. Exercise V. 1. 3509368. 6. 573584. 10. 615896. 2. 1735896. 7. 678152. 11. 691768. 3. 2534272. 8. 396968. 12. 244864. 4. 1608544. 9. 103736. 13. 175896. 6. 3335896. 10 ANSWERS. Exercise VI. r 2222262. 6. 3465621. 10. 531540 1 2. f?151612. 7. 8869284. 11. 73772). 1 3. 4258926. 8. 1952856. 12. 888444. 'I 4. 6415776 9. 6485481. 13. 371889. 5. 2128239. 1 ^ Exercise VII. 1. 3313917. 6. 3600720. TO. 2690640 1 2. 6452838. 7. 7743523. xl. 8178444. 3. 8862444. 8. 7107282. 12. 2528676. 4 1898172. 9. 4384521. 13. 6461874. ■ 5. 7281576. f 1 Exercise VIII. i ' 1. 9865317. 6. 4256824. 10. 3616459. 2. 1341648. 7. 1338678. 11. 6541557. || 3. 8407432. 8. 5212504. 12. 2336824. !| 4. 2386824. 9. 2416557. 13, 7877045. I . 5. 1448678. ■; Exercise IX. 1 1. 10161372. 6. 59530452. 10. 34391340. 2. 2566488. 7. 25931808. 11. 103766028. [i 3. 7138272. 8. 69219528. 12. 5398523772 1 4. 3436608. 9. 18023796. 13. 1156610280 6. 1441152. Exercise X. 1. 91648. 6. 11887680. lO. 19423890. 2. 108192. 7. 33871024. 11. 2773130. 3. 11445928. 8. 1121536. 12. 4205625. 4. 63130063. 9. 13648648. 13. 652864. 5. 14056344. Exercise XI. 1. 1268414. 6. 60447504. 10. 34449288. 2. 1286844. 7. 10892376. 11. 37982016. 3. 16143440. 8. 27076554. 12. 299391552, H 4. 4670703. 9. 17180020. 13. 49369403. H 6. 70132560. «• ■ ANST rRRS, I Pixeroise Xll. Quotient. Remainder. Quotient. Remainder 1. 9843843, 1. 8. 4475, 8. 2. 542468, 2. 9. 10153, 5. 3. 321845, 7. 10 7749, 16. 4. 48016, 2. 11. 3895, 0. 5. 2676, 56. 12. 13792, 9. 6. 36852, 6. 13. 77893, 26. 7. 202623, 0. Exercise XIII. Quotient. Remainder. Quotient. Remainder. 1. 46006, 73. [2018169, 29. 2. 562606, 38. 11. j 1009084, 77. 3. 319462, 17. 3587857, 2. 4. 340618, 63. '31285, 19. 6. 316876, 9. lo 22346, 46. 6. 270830, 21. 12.-. » 1 67040, 4. 7. 14415, 8. 2039, 37. 41. 19776, 7684. 100. 0. 14236, 3. -1 o 1463. 26. 9. ■ 32031, 3. 13. ^ 1 975, 47. 21354, 8. [ 669, 20. 91448, 37. 10.- 102879, 411517, 37. 13. Exercise XIV. Quotient. Remainder. Quotient. Remainder 5563, 56. 6. 529 J 93, 78. 1.- 4945, 46. 7. 311216, 68. 4896, 0. 8. 368940, 87. 251093, 2. J 167395, 8. 9. 6000, 0. 20. 10. 4082, 10. 2. 11. 3317014, 21. 3. 3263bd, 80. 12. 492896, 14. 4. 103196, 12, 13. 551887, 33 6. 8364, 0. 11 12 ANSWERS. N: Exercise XV. - Quotient. Remainder. Quotient. Remainder. 1. 7402, 67. 8. 403111, 87. 2. 7308, 31. 9. 272040, 12. 3. 25913, 95. 10. 87064, 31. 4. 299761, 103. 11. 144312, 0. 6. 466306, 86. 12. 87482, 15. 6. 758257, 1. 13. 44742, 126. 7. 717859, 40. Exercise XVI. Quotient. Remainder. Quotient. Remainder. 1. 57617, 23. 8. 3545520, 4. 2. 6531,3, 29.* 9. 16672, 1, 3. 388G0, 67. 10. 9421, 126. 4. 107715, 10. 11. 534476, 54. 5. 26352, 58. 12. 211891, 28. 6. 76681, 0. 13. 75645, 90. 7. 642857, 85. Bxerci se XVll. Quotient. Remainder. Quotient. Remainder. 1. 39017, 27. 8. 51934, 2. 2. 118G22, 6. 9. 53249, 103. 3. 54218, 18. 10. 203290, 21. 4. 659322852, 6. 11. 13850, 14. 5. 827552, 1. 12. 2464121, 19. 6. 50020, 12. 13. 71521, 11. 7. 164400, 31. Exercise XVIII. Quotient. Remainder. Quotient. Remainder. 1. 6471216, 0. 8. 2996008, 2. 2. 75229, 26. 9. 1173268, 6. 3. 2365816, 5. 10. 7553932, 2. 4. 52852, 52. 11. 875066, m. 5. 1432085, 11. 12. 526183, - -----t ' 6. 1734869, 25. 13. 376228, 49. 7. 1204464, 52. ANSWRRS. J ' ■pixer* ise XIX. ,;-"/" , ■:-.--. Quotient. Kemaindof. Quotient. Remainder. 1. 821376, , 0. 8. 64954, a 2. 210604, 0. 9. 64732, • ^ 3. 3862224, 0. 10. 82641, 0* 4. 92841, 0. 11. 246071, 89 inilos, 135 rods, 4 yds , 1 ft., 6 in. 22 acres, 149 sq. rods, 4 sq. yards. CO tons, lOiSo lbs., 8 ozs. 27 tons, l'J;i8 lbs., 12 ozs. 2S.'> cubic yds., 3 cubic ft., 214 cubic in. £30. 1 acre, 40 sq. rds, 2 sq. yds., 4 sq. ft., 46 sq. inches. $138.60. $385.44. 5 miles, 269 r..ds, 15 feet. Exercise V- (32130)-^ = 1032336900. 31527. Q. 2721, Rem. 0. 5687136. 452371. 280 apples. 71358296. 8. 16638241. 9. $14.00. 10. Fourteen thousand and three. 11. 973. 12. $64.40. 13. 17 tons, 708 lbs., 2 ounces. 146827? . 1328 feet. $24. $54.00. Exercise VI. 6. $14.20. 7. $62.60. 8. $286.80. 9. 75.20. 10. 7 tons, 1000 lbs. U. $6251. 12. 6840 lbs. 13. $3129.28. *zt> ANSWKRS. Exeroiee VII. 1. $22.68. 8. $4.50. 2. 1 ton, 580 lbs. 9. 17 tons, 1000 lbs 3. 587 rods, 8 ft, 3 inches. 10. $1.70. 4. $7.70. 11. $34.05. 6. $5.39. 12. $78.75. 6. $221.70. 13. $275.30. 7. $137 40. Exercise VIII. 1. $12.76|. 8. 14 tons, 800 lbs. 2. $14.62^. 9. $285.20. 3. $37.50. 10. 8 cents. 4. $90.00 11. $1120. 5. $56.12. 12. $72.99. 6. 3800 men. 13. $900.00. 7. 3 pints. Exercise IX. 1. $33.95. 6. $3015.68. 10. $720.00. 2. $165.12. 7. 62 cents. 11. $1357.36 3. $7.87i 8. 17cvvt.,40 1bs. 12. 400 yds. 4. $709.83. 9. 70 lbs. 13. $450. 5. $199.07. Exercise X. 1. $79.21. 8. 3672. 2. $25.91J|. - 9. 6941 lbs. 3. $77,625. 10. 2514 lbs. 4. 270 bush., hemp seed. 11. ^| of a cent. 6. $136.00. 12. $94.71. 6. 1980 lbs. 13. $18.36. 7. $20.79. Elxeroise XI. 1. 85 cents. 8. (a) $450 ; (6) $675. 2. $21.28. 9. 5 cents. 3. $9.31. 10. $27.54. 4. $20.00. 11. $47.08. 5. $46.25. 12. $91.05. 6. $975.12. 13. 75centa 7. $3,600,000.00. ANSWERS. 27 1. 15 cents. 2. $16.06. 3. 20 yards. 4. $38.81||. 5. $161.50. 1. $61.61. 2. ^^0.28. 3. $18.51. 4. $25.53. 5. $22.29. 1. $91.83. 2. 145 pairs. 3. $544.32. 4. $481.70. 5. $51.12. 1. $5.86. 2. 392. 3. $117.75. 4. $74.10. 6. $35.78. 1. $28.96. 2. $23.49. 3. $768.58. 4. $3.73. 6. $6.40. 1. $70.02. 2. 3 i4 dozen. 3. $100.46. 4. $56.37. 5. $66.01. Exercise XII. 6. $975.12. 7. $22.50. 8. $191.50. 9. $67.65. Exercise XIII. 6. $38.87. 7. $22.48. 8. $30.08. 9. $65.00. Exercise XIV. 6. $32.94. 7. $55.16. 8. 269 tons, 1000 lbs. 9. $374.40. Exercise XV. 6. $6.55. 7. $73.45. 8. $26.63. 9. $9.25. Exercise XVI. 6. 109 £l\eep. 7. $196.55. 8. $9.80. 9. $19.67. 10. $46.54^. 11. $450.31. 12. $3093.27. 13. $862.53. 10. $25.21. il. $67.32. 12. $82.85. 13. $654.50. 10. $103.93. 11. $3.15. 12. 3687 apples. 13. $110.20. 10. $46.48. 11. $73.18. 12. $24.68. 13. $254.76. 10. ^09.81. 11. $98.47. 12. $4.80. 13. $10.08. Exercise XVII. 6. $27.i. 10. $30.00. 7. $41.36. _ - 11. $40.50. 8. $26.96. 12. $97.20. 9. $208.40. 13. $6.63. 28 ANSWERS. 1. $20.89. 2. $35.86. 3. 36 5-cent pieces. 4. $27.45. 5. $2625. Exercise XVIII. 6. 53 yds. 7. $78.00. 8. SIO.OO. 9. 208 lbs., 8 ozs. 10. $87.30. 11. $4.48. 12. $49.53. 13. $637. <5= 1. 2. 4. 6. $231.44. $8.00. $48.97. $53.04. ).00. Exercise XIX. 6. $80.68. 7. $88.64. 8. $6.00. 9. $52.04. 10. $133.06. 11. $37.44. 12. $76.09. 13. 48 cents. 1. $123.55. 2. $207.45. 3. $113.12. 4. $37.38. 5. $35.45. Exercise XX. 6. $64.25. 7. $7988.69. 8. 55 cents a lb. 9. $7.07. 10. $16.20. 11. $139.43. 12. $13.20. 13. ^ij. Exercise XXI. it 1. $163.88. 6. $584.06. 2. $155.79. 7. 27 hats. 3. $160.00. 8. 3 cents. 4. $94.59. 9. 65 lbs. 5. $1226.67. Exercise 1. $120. 6. $583.68. 2. $1005. 7. 3566056. 3. 250 miles. 8. $82. 4. $58.32. 9. $3.90. XXII. 10. 11. 12. 13. 72 cents. 65 dozen. $14.19. $39.32. 10. 519 ponies. 11. 35 cords, 12. $2706.871- 13. 3 hrs., 20 minufces. 5. $20. ANSWERS. 29 Exercise XXIII. 1. The boys by $52. 8. $160. 2. 1375023660. 9. (a) Q. 83448, Rem. 96. 3. 7706307420. (6) Q. 206, Rem. 0. 4. 12764. (c) Q. 225, Rem. 0. 5. 155.44. 10. 1. 6. 16 tons, 1600 lbs. 11. $220.16. 7. (a) $12.20; (h) $17.08; 12. $30.72. (c) $58.56. 13. Q. 1411262913333, Rem. 125. Exercise XXIV. 1. 36 and 6. 6. 111773. 10. Theory. 2. $36.36. 7. 75 cents 11. 336 3. 6 cents. 8. 0. 12. 90 yards. 4. 3375 tons. 9. $371. 13. 789 • • 5. 69988069989. 1. $42. 2. $40. 3. $15.27. 4. $720. 5. $14, first. $29, second. 0(), third. 6. 1298460 L. CM. Exercise XXV. 7. $237.60. 8. 1352 yards. 9. $8004.00. • 10. $25000.00. 11. $28.20. 12. 576 yards. 13. $140. Exercise XXVI. $640. 2. 600 days. 3. $698.25. 4. (a) Digging post-holas ; (b) $29.12. 5. $101.00. 6. $3253.75 y. $66.00. 8. $15.00. 9. $.45 gain. 10. 126 doz. and 8 apples. 11. A $105 ; B $72. 12. First $1.85 ; second $1.66 third $1.60. 13. $12000.00. ■1 30 ANSWERS. il .1 hi Exercise XXVII. 9. $15000.00. 10. 68^. 1. $360. 2. $225.00. 3. $100. ^' 4. $423.50. ^^f 5. 99 acres, 20 sq. rods. ^^' f^^^-^o. 6. 2061. 12. $56.25. 7. (a) $76.65 ; (6) 12 lbs., 8 o». ^'^' («> ^lOO.OO ; (6) 12 sh. , Id. 8. $70.65. Exercise XXVIII. 6. $33.30. 7. $5425. 8. $486.78. 9. 6. 1. $126.63. 2. 3 miles per hour. 3. $70 gain. 4. $225. 6. 78 miles, 232 rods. 10. 23x32 x5x 7; 2x3x5x7 X 11x13 ; 2* x3*;2«x3«x7 X 11. 11. 26 gallons, 1 quart ; 20 barrels. 12. 25 cents per lb. 13. A $3.00 i B $9.50; 0112.50. Exercise XXIX. i 1. 2052. 6. 131. 10. t; f 2. 1260. 7. 1221. 11. f; tf. 3. 6930. 8. 454. 12. ^ ; ^T. 4. 30240. 9. liJ*. 13. U i ff. 5. 29. Exercise XXX. 1. 18. 8. 5776. 2. H. 9. 20. 3. ^^, 10. 13. 4. 22. 11. U- 5. (a) iVf ; (b) |«. 12. 453492 ; ^UHi 6. (a) 5 ; (6) i^ ; (c) 1. 13. 1^ ; A- 7. 3. ANSWERS. 31 Exercise XXXI. 1. 69088 ounces. 2. 1 mile, 94 rods, 3 yds. 3. $4.77. 4. 46 acres, 142 sq. rods. 5. By steamboat, by 104 rods. 11. 1628 parcels. 6. 11 gallons, 2 quarts. 12. 12 days. 7. 61 acres, 40 sq. rods. 13. 122 posts =(121 + 1). 8. 18 gallons, 2 quarts. 9. 21 ffiiles, 165 rods, 4 yards, 1 foot, 6 inches. 10. 23 bush., 2 pks., 1 gal, 2 qts. Exercise XXXII. 1. Q. 216, Rem. 0. 2. 27 ; 22 X 3* ;2«x 39x7; 22x5x43; 3«xll«; 2ax3ax 5x7. 3. 672 ounces. 9. $2. 16. 4. 79020 inches. 10. 2249775. 5. $330.00. 11. $700 gain. 6. $24,750. 12. $371.10. 7. $2.25. 13. $16.00 a ton. 8. $17.60. Exercise XXXIII. 1. 20 acres, 97 sq. rods, 15 sq. yards, 3 sq. feet, 3 sq. inohes. 2. 2193 lbs., 12 ozs. 3. $400.00. 4. 61 bushels, 34^ lbs. 5. f of a ton, or 1666f lbs. 6. 22680. 7. 13. 8. $39.12. 9. 20 barrels. 10. $4080.00. 11. 45 pairs. 12. A $16 ; B $16. 13. 37 tons, 1025 lbs. Exercise XXXIV. 1. 1. 2. $70. 3. ^. 4. $.20. 5. 38 acres. 6. 1440. 7. $121. 8. $29.20. 9. 30 hours. 10. $2.50. 11. 36. - 12. h 13. A $350 ; B $420 ; $560. 32 ANSWERS. Exercise XXXV. 1. $752. 2. 19 acres, 29 sq. v \rds, 5 sq. feeb, 90 sq. inches. 3. $47.52 gain. 9. 131384009 jfoo J times. 4. $5760. 10. 36 tons. 5. $147. 11. $117. 6- $21.65. 12. $545.75. 7. $4.23. 13. 1185 bushels, 30 lbs. 8. 20cord« Exercise XXXVI. 1. $7.93. 2. 3665 lbs. O. vfo, 4. $94.53. 5. 315,462,206,805,518. 6. $.98. 7. 871. 8. (a) $1885.68; (6) $558.72. 9. $205. ,. /Wood, $229.50) ^^•Icoal, $210.00r«^l ^y ^l^-SO- 11. 73 miles, 240 rods. 12. $1747.20. 13. 60 cents. Exercise XXXVII. 1. $216a 2. $52.50. 3. $4.93. 4. $60.13. 6. 60 tons, 1585 lbs., 8 ozs. 6. 1760. 7. 9376 bags. 8. $27.50. 9. $5.00. 10. $8.40. 11. 150. 12. 4 bushels, 5 qts. 13. $4.06. Exercise XXXVIII. 1. 96 cords. 2. $864. 3. $451. 4. 240 lbs., 10 ozs. 6. 1,493,284. 0, $46.80. 7. $403.20. 8. $311.04. 9. $20. 10. 24 acres, 28 rods, 10 yds 11. 568 times. 12. $747.05. 13. $107.87. ANSWERS. 33 Exercise XXXIX. 1. ^5900.25. 6. 11512. 10. 28 dozen. 2. !|f30.72. 7. 9800. 11. $4.80. 3. 16 (lays. 8. 421 lbs., 1 ounce. 12. $315. 4. 125.20 gain. 9. $52.10. 13. $46.13. 6. 240 dozen. Exercise XL. 1. $35.28. 8. 31 cents. 2. $567.00. 9. $5.25. 3. $500.00. 10. 806 yds., 1 foot, 2 inch 38. 4. 13 lirs., 42^ minutes. 11. 14322420 inclies. 5. $1314. 12. 720 fathoms. 6. $434.24. 13. (a) 80 rods ; ^6) 177120. 7. 2898 acres, 127 rods, 15 yds., 1 foot, 18 inches. Exercise XLI. 1. 1600 rods. 6. $764.73. 10. $44,000.00. 2. 400 turkeys. 7. 7C84 and 978. 11. $11,088.00. 3. $159.46. 8. 24511. 12. $29.70. 4. $518 gain. 9. 13 bushels, 32 lbs. 13. $210.68. 6. $8.25. Exercise XLIL 1. $07.50. 7. 3 days, 23 hours, 30 minutes. 2. $1710.50. • 8. 480. 3. 142704 inches. 9. $260.19. 4. (a) 116200 ; (h) 1 mile, 266 10. Q. 4032. rods, 4 yds., 2 ft., 4 inches. 11. $26.50. 5. 1500 fathoms. 12. 13 days. 6. 13 miles, 115 rods, 4yds., 1 ft. 13. Q. 23872, Rem. 73. Exercise XLIII. 1. 14,322,708 sq. inches. 7. 259| times. 2. 11 acres, 123 rods, 17 yds., 8. 18 hrs, 20 minutes, 24 sec. 7 feet, 108 inches. 9. $109,800.00. 3. $40.00 gain. 10. 40 chains. _ L .,. . ^ 4. $18.72. 11. $550.00. 5. $14.67. 12. £60(Stg.) ,;:.;. 6. 54 lbs. 13. 921 bushels. u ANSWBHS. Exercise XLIV. 1. 188 times. 2. 1280 lbs. 3. 2nd (lay ; 8 cents more. 4. $17.70. 5. 11512.00. 6. 5 ceiits ; $1.20. 7. $19.98. 8. $70.80. 9. $450.00. 10. 12 bushels, 30 lb* 11. $1.50. 12. 16 miles. 13. 65 bushels. Exercise XLV. 1. 61 acres, 96 rods, 26 yds., 6 feet, 108 inches. 2. 1485. 3. $8 a head. 4. $5 a head. 5. 127 barrels. 6. 10,560 times. 7. A, $7.00 ; B, $5.60 ; C, $12.(0. 8. $34.7<4. 9. 784 loaves. 10. $8.00. 11. $1.92. 12. ^ a bale (20 pieces). 13. $111.92. Exercise XLVI. 1. 23 cents. 2. $259.20. 3. $327.00. 4. 5. 6. 7. $3150.00. $600 ; $50. 165 acres. 125 acres, 65 sq. rods, 7 yds., 13. 630. 4 f eut, 108 inches. 8. $3,939,196.80. 9. $90.84f. 10. 71 miles, 174 rods, 5 yds., 1 foot, 2 inches. 11. 1 shilling, lOd. 12. 10 days longer. Exercise XLVII. 1. $45.00 gain. 2. 819674 sq. feet. 3. 817,947. 4. 6336 times. 5. 406 head. 6. $92.64. 7. 230 cords ; $2.50 left. 8. $131.53. 9. 1 cent. 10. Q. 2,042,225, 11. 32. 12. 20.01. 13. $4560.00. Rem. 87. ANSWEKS. Exercise XLVIII. 35 1. (a) 2*, 3. 6 ; (6) 2, 3^ 5- ; (c) 2\ 3, 5-, 7^. 2. (a) 24336; (h) 10700514. -M li ^VM' •^' ^^' ^^' ^^' ^^' 1^' 2^' ^^' 25, 27, 29, 31, 33, 35, 37, • ).', 41, 4.», 46. ' ' ' lo t'A \l^\i^\i^' ^^' ^^' 2^' 22. 24, 26, 28, 30, 32, 34, .30, 38, 40, 42, 44, 46, 48, 50, 62, 54, 56, 58, 60, 62, 64, 66, «;8, 70, 72, 74, 76, / o, oO. ,.., ^. CompositHS 21, 39, 40, 63, 81, 84, 99: Primes 7, 13, 19, 29, 41, ti'if 79. 1x24^ ('1x541 6 raW2^^2l. /ftxrix271 . ,.j2x2' Ux6j Ux9j 7. 6300 L. CM. '64351 8. L.C.M. 45045 : Quotients 9. 13 bushels, 1 gallon. 10. 28, H.C.F. 11. («) U;(b)i;(c) u- 12. 81 bags ; 5 marbles. 172 432^ 144 504 216 576 288 648 360 5005 3465 M"'" 24148. 3003 2145J 1. 7560 L.C.M. 2. 5040 L.C.M. 3. 63756 L.C.M. 4. 6 H.C.F. 5. 74 H.C.F. 6. 81 H.C.F. 7. (L.C.M.) 18018-r-(Q.C.M.) 99 = 182 times. Exercise XLIX. 8. 3^. 9. 5. .10. 2025. 11. 6. 12. $5553.84. 13. (a) I ; (6) jfi (c) ."V^. 36 'ANSWERS. Exercise L. 1. ^* 3. 4^ 4. 7. 5. 9. i. 2^. 2. nh 'A. ^m- 4. 7:i(ti' 6. 25iM 1. 30. 2. 6^. 3. Ih 4. i 6. 21. 1- T*^- 2. n- 3. '2 I B5' 4. 26. 6. IJ. «. 13. 7. 9|i. 8. 1,V 9. 81 J. Bxeroise LI. 6. \l 7. 2H. 8. m 9. 4i|. Exercise LII, 6. 2t. 7. 20g. 8. 28. 9. 138^g. Exercise LIII. 6. 4,^. 7. 117i 8. 227i. 9. 2^. 10. 6iS. 11. ^\%' 13. 4|. 10. 6U^. 11. 20t?|8. 12. 5|g5. 13. 2||. 10. S^. 11. 388|. 12. 5C|. 13. i. 10. ^A- 11. 3^. 12. 1/A- 13. 96^. ANSWKIIS TO INTIIODIJCIORY i:XERCISE8 ■ IJN ADDITIO.^ AND SUBTRACTION. 1. AiiiTUMhyrw EXbHiVl;^!': book No. l - DKSIv-VVOllK. > \z >' 3. ADDI'JION. Exercisea I to X. 4. 5. 0. 7. 8, 9. 10. 5() «:! 51 ()() GL 52 55 02 49 1 i «l 72 8L 82 <•> 78 70 8;; 70 US 1(15 •>:j 102 JO.'} 91 99 97 KK 91 1)1 1)8 8(i 95 9.5 87 92 90 07 84 «:{ 70 58 07 ()8 59 04 i\J 09 50 84 91 79 88 89 89 85 8:; 90 t i 49 50 4+ 53 54 45 59 48 55 42 U. 12. Exercises XI to XX. 18. 14. 15. 10. 17. 18. 19. 20. 308 r)27 441 ((2!) <;!)6 798 1148 418 413 1238 322 541 455 (il3 710 812 1102 4;!2 427 1252 ;WG 555 4()9 t;:,7 724 826 1170 440 441 1200 287 501) 420 (11)8 075 777 1127 397 392 1217 301 520 4;i4 022 (W!) 791 1141 411 400 1231 315 5:!4 448 0;;<) 70; i 805 1155 425 4:i0 1245 329 548 402 o-.o 717 819 1109 439 434 1259 Exercises XXI to XXX. 21. 22. 23. 24. 25. 20. 27. 28. 29. 30. 726 734 584 442 482 420 419 358 537 4.50 677 085 5;'i5 393 433 371 370 309 488 407 691 699 .549 407 447 :iH5 .384 32:1 502 421 705 713 503 421 461 3!);) 398 337 516 435 719 . 727 577 435 475 413 412 351 530 449 670 678 523 380 426 304 303 302 481 41)0 684 692 542 400 440 378 377 316 495 414 [37] 38 A.VSWERS. 31. 41. Exercises XXXI to XL. 32. 33. 34. 35. 36. 37. 38. 39. i»> 43. Exercises XLI to L. 44. 45. 4G. 47. 48. 40. 224 231 238 245 252 259 266 273 280 418 23S 245 252 259 26(j 273 280 287 294 432 2.")2 259 266 273 280 287 294 301 308 466 20! i 273 280 287 294 •'01 ;?08 315 322 460 2>0 287 294 301 308 315 322 329 336 474 • 231 238 245 252 259 266 273 280 287 424 245 252 259 266 273 280 287 294 301 439 49. 50. 1334 1914 2404 3014 3554 4094 4034 5194 5734 0274 1348 1928 2478 3028 3508 4108 4018 5208 5748 0288 1362 1942 2402 3042 3582 4122 4()i)2 5222 5762 6302 1370 i9:.o 2.')0; 3056 3590 4130 4070 5236 5770 0316 1327 1907 2457 .3007 3547 4087 ■iii27 5187 5727 0267 1341 1921 2171 3021 3501 4101 4041 5201 5741 0281 1355 1935 2485 3035 3575 4115 4055 5215 5755 0295 I ] o 3. SUBTRACTION. Exercises I to X. 4. 5. 6. 7. Exercises XI to XX. 9. 10. 80 88 78 86 85 8-1 83 82 90 76 66 74 04 72 71 70 69 08 70 62 52 («) 50 58 57 56 55 54 62 48 38 40 .•iO . 44 43 42 41 40 48 34 87 95 85 93 92 91 90 89 97 83 73 81 71 79 78 77 76 75 83 69 59 07 57 65 04 63 62 61 69 55 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 17942 21245 20038 8737 19830 20592 9960 14397 15518 31122 38291 41.594 40987 29080) 40179 40941 30309 3 ,746 3.")8ti7 51471 25579 28882 34275 10374 27407 28229 17597 22034 23155 38759 29877 33180 38573 20072 31705 32527 21895 20332 27453 430.57 22901 20204 31057 13750 21^49 25611 14979 19416 205.37 30141 24872 28175 33568 15607 20700 27522 10890 21327 22448 38052 39720 43029 48<22 30521 41014 42376 31744 36181 37302 52900 CUTHBERT'S EXERCISES IN ARITHMETIC TEXT BOOKS. PART /.—Containing EXERCISES IN ARITHMETIC, For First, Second and Third Classes. NEW EDITION, WITH ANSWERS. PRICE, 25 CENTS. ' - ^ PART //.—Containing EXERCISES IN ARITHMETIC, For Fourth and Fifth, or Entrance and Public School Leaving Classes. NEW EDITION-ENLARaED-WITH ANSWERS. PRICE, SO CENTS. CUTHBERT'S ARITHMETIC EXERCISE BOOKS, In Five Numbers as Follows : No. 1.— For use in First Hook Classes, containing' all the examples for First l^>()()k ( Hhshi's that are in " IPxereises in Arith- metic. Part J.", together with 70 Additional Introductory J^.xer,3ises in A(hlition and Sul)tr:i(!tioii (in all 200 Exer- cises), with blank space to enable the pupils to work oat the Examples. 72 Pages, 5 Cents. No. 2. —For use in Junior 8econd Book Classes, containing Exercises 1 to 36 m "Exercises in Arithmetic" for Second Book ( lasses (m all 468 Prnhlems), printed at the head of the page, with blank space sufficient to ena})le pupils to work (.lit the Kxampks. 72 Pages, 5 Cents. No. 3.— For use in Senior Second Book Classes containing Exercises .S7 to 62 in "Exercises in Arithmetic" for Second Book (lasses (m all ;{38 Problems), ))rint.'.l at the head of the page, with blank space surficient to enable pupils to work out the Examjdes. 72 Pages, 5 Cents. No. 4.— For use in Junior Third Book (^lasses, c.mtaining Exercises 1 to 2/ in " Exercises m Arithmetic " for Third Book (!lasses (m all 351 Probl m;is), printed at the head of the ]>age, with blank space snfiicient to enable pupils to work out the Examples. 80 Pages, 5 Cents. _,.__^_.,. __ .: : No. 6. — I- or use in Senior Third Book Classes, containing Exercisea 28 to 53 in "Exercises in Aritiimetic " for Third Book Classes (in all 338 Proldems), jirinted at the head of the page, with blank space sufficient to enable pupils to work out the Examples. 80 Pages, 5 Cents.