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Les diagrammes suivents iilustrent la mAthode. 1 2 3 1 2 3 4 5 6 MJCROCOPY RESOLUTION TEST CHART (ANSI and SO TEST CHART No. 2) 1.0 I.I 1^ i 2.8 ■&3 JUi 171 ■ til 14.0 2.5 22 2.0 1.8 ^ APPLIED IN/HGE inc 1653 East Main Street Rochester, New York 14609 USA (716) 482 - 0300- Phone (716) 288-5989 -Fax L EXAMINATION PAPERS r^Rniaumn y,--u '^K ■-<'»!; (.;. THIRD t F0UBTH CUSSES i rar TUm PUBMO SCHOOIS. HY— Ma iff iiiiifgii M I tef ii H. FRED, SHARP, BoGKSEiiEi^Sf. Marys. }] Jl'ijnlJOJt, ©lit.. * - l*^^^'J*^#: i'KllgfTlNG AND PUJJLISIIJJVG CfX i V?'' '■"'kf i: ;,.ii«i'' \ N ^t^A ^V « r EXAMINATION PAPERS -IN ARITHMETIC fff f n IN THREE PARTS, HRSIGNED FOR TUB USE OF SECOND, THIRD Si FOURTH CLASSES •IN THE- PUBLIC SCHOOLS, -BV- JOHN ALEX. McNAUGHTON -AND- M. HARVEY MANN, TE>/:HEF{S, West Middlesex. Published by H. Fred. Sharp, BOOKSELLER, ST. MARYS. -•»- S<^nbon, (Dtti: ADV«^T|«EIl PANTING AND PUBLISHING QO, r. ^. y #*■ ',?•.» Tg3g PREFACE. The object of these « Examination Papers" i, to aid ,n preparing pupils for the different Pro- ■nofon Examinations" in the Public Schools, and «lso for the Kntrance Examination to the High "Ilf^ ftUhors are ccnviii^'tiU many of .their over.wo,kod fellow-teachers experience nmch diffi. eulty ,n procuring problems suitable for their eh.,sos. and in order to lessen the arduous toil of the teaj?|,e« this little work has been prepared SOIIOOL iNSPEOTOIt's OFFICE, ;^ Strathroy, Ont., Sept. 22nd, 1883. ^rJ ^l*""' P^^"«"'«^^«^'^"^i«>ing the manuscript of Messrs ^.^ Naughton and Mann's Arith„..tic. The proble Jare plZ and excellent, and wiU be of n,„.a value to the classes fo" hey are prepared. The book is well worthy of being i„ the liUids of every teacher. * ° *^® nf:/^^^?3. CARSON, inajptctor of Schools. IS SECOND CLASSES. EXERCISE I. 2. Find the sum of all the numbers ending in 7, between 83 and M). ^ 3 John has $i:<}, James has S89 more than John Henry has Si 28 more than John and James together, Jiow much money have they all ? f .not w^ T'' ^.T^}'^ ^ ^''''"' *"^*' ^^^^' and another lor 5!5il8 ; he sold the span so as to gain $^0 • how much did ho got (or them ? fio ^A FnS"^. ^^"^ ^."^"^ ^^ ^^^ ^^^ numbers between 89 and 102, inclusive. • Jr'u^ ^^^^f^ ^.^'^ ^^ ^^^^^^'^ ''^ ^ay, each weigh- ing 9784 pounds ; how many pounds of hay had ho ? 7. A can earn .f29 in one month, 13 can earn;i p8 more than A m a month ; how much can they " together earn in 12 months? . J:t ^ "f "" ^"^^^ ^ ^^^^^'^ ^-^-^l^^^ each. 8 cows at 5P37 each and 9 sheep at $9 each ; how much ' money did they cost him ? i« fi7Q*^ J^T T,^^' ^'^'^^"^' *" ^^'^^> ^""^ ^^ them 18 07958. Jbind their sum. 10. A boy lives 987 yards from the wil>ool- house; how far wiU he walk in a week ^ if he ^o home e'^ej^y day for dinner ? ' 11. Fiud the sum of the 8 numbers that follow the number eighty thousand/ eight hundred and ninety-three. 4 EXAMIKATION PAPERS IN ARITBOIETIC. .^^«!i^'-^^® first of four numbers is 8793, the second IS greater than the first by 2019, the third IS equa to the sum of the fii^t and second, and the Wh IS 287 more *'-'"='«d fK. „„lir-?!:^'«'* ?^ three numbMs is 3171264. numbw ""'' "' '"'*' " "*"" " °^^^" *'""* **^ ***^ 11. 18631591 is how many times 887 ? EXAMtlTAtrON PAPERS W ARITHMETIC. 7 facfcoJs^' ^^^^^r 270831457913 by 132, using three EXERCISE V. V^ 1. The quotient exceeds the divisor by m th« *!. ^' T*"* tl"? "*", ^^'® numbers is thirty three thonsaiid eight hundred and eighty-three : tie firat number IS 4183, the second 2796, the third 8095 w""FindThrfc",::df ' '""'"^"^ '"'' '"'^y- 8678t whTtttt^dSnd'r"'- '''''' ''"°«-*' 4. The product of four numbers is 37072962 number? *^^™ ^'' ^^' ^^' ^^^ ^'^^^^ i« the fourth 5. The divisor and quotient are equal • their sum ,s 15906, and the remainder is thrieatest whole number possible. Find the dividend i7K±t Jl^ dividend is 76841397, the quotient is 170436, ^the remainder 429 ; what is the divisor ? 7. Add together the sum, difference, product and quotient of 849 and 5397093. ^ '79^^^' J'?? ^^^ ^"^ vf ^ times (437+609 + 865 + 723^ and 11 times (437+509+865+723.) 9. After 965 has been subtracted 2796 times trom a certain number, there is a remainder of 96l c iiwiii wiiat wutauer did I subtract ? 'i** / u. % J? ,^°^^^^ *"^ 2^ c^ws are wbrt1i> 2623^ dbl^ Sls^co s ' ftre worth «9^35, Fiod the lvalue lh< 8 EXAMINATION PAPEBS IN ABITHMBTIC. - mIJI. By what number mu^t 87019364 be in- creased to make it exactly contain 647 ? 1 }\ "^^"^ *^® ^""^ ^^ seventy thousand, eight hundred and nineteen, sixty-seven thousand, nine ""ifr ^^^ ^^S^^y> two hundred and ten thou- !f '^W^f hundred and sixty-seven, seven hundred tho^d and sixteen, fifteen thousand and fifty seven thousand and seventy. ' EXERCISE VI. 1. How often must 7804 be added to itself to make 228056? 2. In a school there are four divisions ; in the first division there are 33 boys and 18 girls, in the second 27 boys and 31 gi.ls, in the third 24 boys and 29 girh, and in the fourth 42 boys and 26 girls How many pupils are there in the school ? How many more boys than gij-ls are theie ? 3. How? long will it take 21 men to do a work which 19 men can do in 84 days? 4. By what must the product of 769 and 87 be increased to make 4 7958 X 697 ? 5. A man gave 43992 dollars, the price paid ' per acre being the difference between 165 dollars and 87 dollars ; how many acres did he buy ? 6. What, number must be subtracted 9087 times from 7960984 so as to leave 722 for a re- mainder? ,.« ^* ^'^^^ ^^ ^ ^Wes the, prcM^uct of the sum and -nUi^-u^'h^t puipber coutMns 6807 ' (^en as 4480814 contains 598 } ' ■ ^ *^ %'\ ^iiMiMittoN PAPfcAs in AliltHMEtid. fi 9. Four numbers multiDlied together give 160679876 ; the first number is 54, the second is 24 greater than the first, the third is equal to the sum of the first and second. Find the fourth number. 10. The sum of two numbers is 432, the smaller number is 36. What is the dificrence betv^^n^heii product and quotient ? "K^B^ 11. The dividend exceeds the quotie^rby 41819020, the quotient exceeds the remainder by 88944, the quotient is 89356. Find the divisor. 12. Find nine numbers, each greater than 219, whose sum is 2059 ? EXERCISE VII. 1. A carpenter earns $18 a week ; his expenses are $45 a month ; how many years will it take him to pay for 72 acres of land worth $44 per acre ? 2. A man gave $8470 for a number of horses ; he sold a certain number of them at $76 each foi* $1000, gaining $150 ; ho\y many horses did he buy ? 3. What must 76049 be multiblied by to give a product of 56884b'52 ? 4. Find the value of 4 piles of wood, each con- taining 13 cords, if l7 cords be worth $85. 5. Find the least number that must be sub- tracted from 70861543 so that the remaiader may be exactly divisible by 4509. 6. The product of three numbers is 20483064 ; the first number is 248, the second is 59 less than tha first ; what is the third i "' ^7. How often can 874163 be taken from 6119071? Do this by subtraction. r« fa: t •; W EXAMINATION PAPERS ,N ABITBMCTIC. than the eldest L,?;!.- J *"?** "'*« *'230 less mainder equal y Zon7Z^'- '""^. ^''^'''"'^ t^« ™- the share 2f ^l^ daugSter "'"' '^'"'''^""^- ^'"^ what is the ^Ifcirr'' """"" ''' '*"*' 12. Express in Roman numerals 1794. EXERCISE VIII th..e thSnd°rd':an':t"f fi'° f''^";? ">« «-"" of hundred a Jei*htVseviltr ^"'"^'5°"«nJ mae aud fifty-seven tw^iiri! "'"""^nJ f«i"' hundred make tte result 4T03I .""'"'*"'* *"'^ twenty-one, to rand%St:^r7ran1?^V''^'"'''^- 24, '» 76309; Sthe'dtSl t„f *«2?9i6.J''e quotient without dividine ' ''"'"'" "'""' ""* remainder \^i. EXAMINATION PAEERS IN ARITHMETIC. 11 7. The quotient is 7 times the remainder, the divisor is 72 less than the quotient, the divisor h 1279. Find the dividend. 8. Find the product of ninety thousand eight hundred and forty- seven by seven thou^nd and thirty-nine. l^AiA^^^ 9. Eleven times the subtrahend is 98aHb7 ; the remainder is thirteen times 50697 ; whatVthe minuend? 10. Find the value of 761-849-|-276-f 98~ 47--74--3l7+923+478-1079. 11. If 18 oxen be worth $864, how many oxen can be bought for $3168 ? 12. A man raised 480 bushels of wheat, 372 bushels of oats, and 257 bushels of barley in one year. He sold the wheat at 96 cents a bushel, the oats at 45 cents a bushel, and the barley at 75^ cents a bushel ; how much money did he receive ? EXERCISE IX. 1. What must be added to the product of 8709 and 69 to make the sum thirty-seven thousand and ninety- six less than a million ? 2. A drover paid out at one time $144, and at another time $265 ; he had left $73 more than he paid out; what sum of money had he at first? 3. How many times must 749 be added to 805 to make 13538? 4. A dealer in horses sold 16 for $2240. gaining $24 on each horse ; what did eleven horses cost him ? 5. Of what number is 78609 both divisor and quotient? ■I m 12 EXAMINATION PAPBM IN AMTmnmo. f-^"<^e in words 10019076 nine huMZ "e^ntepT'S'^ ", '^e'*^ *°»»''n'i 9127. 4763, SaoTaad 73,T'r,^/ k*''"'^ T ^876, ber. '* * *™a the sixlh num- m kl tu^A^dlKZ^!^ -'?;'' t""^ ^- C has than the otter three Br^^^\^ ^'^ »«' ""'•e ^jjj, aertmee. How much money have they EXERCISE X. less Ihali VlLl t *'' "S"'-^ *'r ^' C has ^ together hav:!>r™„rh Cn^ Lfe "*"- *- boots «„d»i.35 for a hat.^^^^f i^f.f^a'at'f the '^..iri: ptti::,^.. t r^^,p-'!T«>^ » acres 01 land can he purchase '"^'^ ^"^^ «^>v many EXAMINATION PAPERS IN ARITHMITIC. 13 4. How often will five millions seven hundred and fifly thousand one hundred and thirty-one con- tain eight hundred and twenty-seven ? 5. If 19 mules cost S1710, what will 12 mules cost? Hnm lin.f: ,1 . '^ r*'/." 6. Find the least number that must be taken from 5651853 so that th« remainder will ex^t ly contain the difference between 4673 and 546r*^ 7. 6854 votes were polled for A and B ; ^^ot 3948 votes, how many more votes did A get than B ? 8. What number multiplied by 385 will give the continued product of 2040, 693 and 108 ? 9. Thirteen times the sum of two numbers is 4017, and 9 times the smaller number is 1296. Find the larger number. 10. When horses are selling at $140 each, how many cows at $36 each, must I receive in exchange for 18 horses ? 11. From 7086159346 subtract 947269238, and divide their difference by 478. 12. A and B are 432 miles apart. A travels 25 and B 23 miles each day, how many days before they meet? EXERCISE XL 1. The quotient is 23 times the divisor, the divisor is 17 times the remainder ; if the quotient be 297551, find the dividend. 2. Two men 75 miles apart travel towards each other, one at the rate of three, and the other at the rate oi iOUr miies an noufj now far apart wili they l>e at the end of 8 hours ? Ipi ^* EXAMINATION PAPERft tv .^ - ■ ^APEKS IN ARITHMETIC. o. The Bum nf fm^.^ wjWnake 1000 ? "-''"^^'^i / between and 90 contain 9x7x4x3? '' "^8x12x14x16x18 «2400a^„d1.a;e'Ser W °°"^^ P-^^ » debt of thirteen take twenty-geven fh? ^^ thousand and ««»d s-xty-eight. Exp«I'° ,t^''°«' five hundred , 10- By sellinff mVT ^ / ^"^^e' « words EXERCISE XII. OD each one. How many ho^esdid f ' ^k ""'"« »^« "" "-" c""te"n their difference P ""*" "«»" of «ti£ 712 EXAMINATION PAPERS IN ARITHMETIC. 15 3. The quotient obtained by dividing 6882467358 by a certain number is 790543 ; by what number did 1 divide? 4. 17 men can do a piece of work in 52 days ; how many men will it take to do the work in IS days ? 5. There are 48 pounds in a bushel of l^ey. How many bushels are there in 25296 pound™ 6. How many pounds of tea at 48 cents a pound can be got for 768 bushels of wheat at 94 cents a bushel ? 7. Find the sum of $781.19, $246.24, $769, $87.05, $9.63, 76 cents, $4.00. . ; :; 8. The product of four numbers is 21248f3^ ; two of them are 46 and 63, and the third is 31 less than the sum of the first two. Find the fourth num- ber. 9. In a man's orchard there are 64 apple-trees ; each tree has on an average 216 apples ; how many pecks will they fill if each peck hold 24 apples ? '^l 10. How much more will remain if I subtract 8956 from the sum of 497806 and 238957, than ifl subtract 8956 from the difference of 497806 and 238957 ? " ' 11. If 14 horses be worth $1680, what will 9 car-loads, each containing 12 horses, be worth ? , .12. What number taken 5493 times from 20203621 will %ve for remainder 367 ? EXERCISE XIII. 1, The sum of two numbers is 1243796 the greater number is 864691. By how much does the great-er number exceed the smaller ? ti P^°^ "S it J'fnf '* £«*'- than ehe two numbere. ^*''- ■^""' 'ho product of fto P«^uct;^^5te„1fe ^'^^^X^ei* exceed «.o |loth.i32¥a^f/ll/- l-^. «)8 for »S6;hesjiyes$470. What LT""^« ^^P^n^e" are ?• The product nf ♦, '"* **'«-''y ? ope of the nCber fs ^i«"fi'""'r '« "20138776 8»m 8468 r ' ^' '^""^ to sell atlps efL of 8439 S'fe^tCtth ^ '^""^ *» *e P«Hluct he receive? " ' """"'J' hnshels of oafadid other number ? ' " ^^^' *'hM is 7 times'F 'he --eSnSKSlI '^ ^^^ -•" ^i- •III the sum an ehe ;what % the of the id the 8 for « are 8776, sum $73 each luct son- eat hel 1^ ee t:XAAfINAflON PAPEfiS tN ARITHMKTIC. 1? EXERCISE XIV. • ' 1. The minuend is 70894' 32, the remainder is 15917889; by how much does the subtrahend ex- ceed the remainder 7 2. After spending $400, I had left $40 more than 'hree times as much as I spent. How much money had I at first ? ^ 3. If 34 yards oi cloth cost $238, find the cost of 69 pieces, each containing 43 yards. '' 4. By what number must 81374 be divided to give 1179 for a quotient and 23 for a remainder? 5. If 160 acres of land cost $13280, how n.any acres can be bought for $31125 ? 6. 19 horses and 4 times as many cows ard worth $4256 ; each horse is worth $96. Find the value ot 48 cows. 7. A man bought a number of iwst^s of land at $79 an acre, and the same number of acres at $47 an acre ; he paid for it $117684. How many acres did he buy ? 8. Add together the product, sum, quotient and difierenoe of 2924 and 68. 9. The remainder is 78 less than the divisor, the quotient is eleven times the divisor. The quotient is 9493. Find the dividend. 10. What number contains 847 as oflen as 338465988 contains 4879 ? 11. A man bought 56 cows ; he sold 29 of them at $34 each, and the remainder at $25 each, and by so doing lost $131. What did each oow c^.h him ? 12. How often does ^e i»t>duot of 5964 and 5467 contain four times their diflfofenoe ? ^^ ■fi to V ^^^NATION PAPERS rxr ZEROISE XV 2. Divide $099896 equaf]t'l''^'*"^^sS;^ taininfi. ifn "* exchange for 6 f, *''^ '*'" acre *^-Z::- -^Aet ^^- g -M..-ce pay fo' 37 pounds f^ P'--^^ of tea cost if $2775 give the conL"„ednL"t'P''«" ^y I4ix37 «,-., ''• By what n^'^?'^"'""'" 864, 96 7*? '^' •• After 680 h» i one thousand and one? ^*"^*^' ""a^e one mS 12. Multiply 9087nn^o . answer h» .^,^5X ™«"0063 by 7()S0« n.. . _ •' --~*»5ivii. " ""• -irrovtt your IC. ier acre ch con- » twice d, and » times m.75 ^ will 057s actly and tain irliat S06, [ion left of )ur EXERCISE XVI. 1. The product of three numbers is 14303429; the first number is 59, the second is seven times the 'first ; what is the third number ? 2. I sold part of my farm for $485; th^ part left 18 worth $230 more than five times the value of. the part I sold. Find the value of the farm. 3. What number must be subtracted from 37068142 to ^ei a remainder exactly divisible by 458 ? 4. The sum of three numbers is 289177 ; the smallest number is 79468, the greatest is 45505 more than the smallest. What is the other number ? 5. The sum of the product of two numbers and 8479 is 4389217 ; one of the numbers is 762. Find the other. 6. 387 X 156 X 365 js how many times 73 X 43 x 7. In a drove of .360 animals, HS^xe horses, 148 cows, and the remainder sheep ; the sheep are worth $8 eaber of acre, acres did he r.u^M** ^"' '' »31750. How .^'^ la s 728549 i926 and $6151 ; ows can 're than 5 more »d how etween 5 their um of erence ^heafc nte a 'h of 43 to iCtly laJJy Jsof cres tkn-tr -y EXAMINATION PAPfflJS IN ARITHMETIC. 21 1. Multiply o9S63t46 by 80793. 2. How many times 488 id 671 tiines 1209$ T:( 3. From 9 times the difference between 47138254 and 76085143 take the contimied product of 97, 84, 53 and 108. 4. By subtraction find how often 7869345 may be taken from 55085415. ' 5- The quotient is nine times the divisor ; the divisor is seven times the remainder ; the quotient is 22617. Find the dividend. '^ 6. The divisor and quotient are equal, their sum is 15309a ; what is the dividend 1 7. iUeven times the remailider is 48374535 ; the subtrahend is 13 times 846937. Find the minuend. 8. Multiply 95868 by, 697 and divide the pro- duct by 8364. 9. Find the product of the sum and difference of 87437 and 76859. 10. How often must 876 lie added to 483 to make twenty thousand six hundred and thirty-one 1 11. Divide the difference between 30765914839 and 18796435947 by 5397. r M„^ ,12. If 84 men can do a pie<;e 6f work in 76 days, noV many men will be required to do the work in 21 days? EXERCISE XIX. 1. Add together 5893, 6378, 2437, 6229, 7815, 3436, 8794 and eighty thousand and seventeen. " rUh certain «umtlf?o^°«« 1?%- Jiseoo for a dwf 'r^^«26oShori'^d 48 of them fo? IS qsHOo «"naii)der ia 1243 j. 1 1 .,. ' f . ^^^ «'«*'«•• than the r«m. -^^ " ' ^''^ quotient Avidedby43x8I^"7t "^ 219x301x729^27 374tonsco8t? ' °'^'^''° «<«^.|liS43, what wi« ?°e pair of glov^",^*^«|»"2l>«9pai«of gloves and bought for $38.25 ? ^^■^''' ^°^ ^"y hats Sn be *«« J- %k the .(iifferen^ii'liitl': .. .vv.««ia 'S* and il6266798Ti7r° '"^ F°«:tof TIC. ^600 for a them for •^y horses quotient ^7522588 ? many >w tl80728, sand? ^29x27 bushels bushel, )ntain- it will ads of 3, find 3, and tn be tof EXAMINATION PAPERS IN ARITHMETIC. 23 ^ 2. The sum of two numboisis 950239, and seven times the smaller number is 1328222 ; by how much does nine times the smaller exceed twice the larger ? _ 3. Find the total value of 49 bushels of wheat at $1.14 a bushel, 73 bushels of peas at 67 cents, 08 bushels of barley at 84 cents, and 54 bushels of oats at 3G cents. ^4. A dry goods merchant bought 67 pieces of cloth, eacL piece containing 94 yards, at $2.40 per yard, and sold it at "$2.88 per yard. What profit Lad he? 5. What number must be added to the product of the sum and difference of 96035 and 87G59 to make it exactly contain 509 ? 6. A drover bought 17 head of cattle at $24 each, 13 head at $27 each, and 26 head at $32 each ; at how much per head must he sell them so as to gain 7. Put down 67984 x 11 as an addition question. What is the sum ? 8. What number must be taken 109065 times from 83762154 so as to leave 234 for remainder ? 9. Hpw much less is the prbduct of 7683 and 498 than the product of their sum and difference ? 10. A dealer in cattle bought 130 head of cattle at $70 each, and 85 head at $65 each ; he sold the whole lot at $93 each. Find his gain. 11. 98 times what number is 137592 ? _ 12. A ct^rtain number when divided Hy 28 gives 769 ; what would ha thfe resiilt if the number were multiolied bv 28 ? 'liiM f ii 1- How ma ®f .^^SE XXt ••" to make 203W9T ^^"mm be added toibelf oumber is 41 9^ V^^ numbers is 47i 9 . * k„ 1 W «any time^^al^ '^''-een 632C02aad 628419 is smaUer'aumb^ A«'ro''°^"™''en' is 79562. ,1. l^......_. ^A^BCJSE XXII. - -^wpijr £,47S76593 hy 9378. r^r > . ^toifcself eacli,and »e rest in JO feet in lies ? 24, how J larger ducfc of •y 845, lets by ^8 per d the EX^MUJATION PAPERS IN AKITHMETIC, 25 m IS ; the 3 the rs. orth s. 2. A farmer haa 28 cows, which he values at $45 each ; he exchanges them for sheep worth $9 each. How many sheep should he get ? 3. How many times 438 will make 1679 multi- plied by 676? 4. Bought 648 pounds of maple sugar at 1 1 cents per pound, anii sold it at the rate of 84 cents ior 6 pounds. Find the gain. 5. A grocer bought 28 chests of tea, each con- taining 64 pounds, and three times as many boxes of cofiee, each box containing 12 pounds. He paid 26 cents per pound for the coftee, and three times as much for tie tea. Find the cost of both. 6. What number divided by 78 will give the product of 49, 66 and 84 ? 7. Ho^ mnch greater is 756 times the sum of 48763 and 43966, than 756 times their difference ? 8- What number must be added to the product of 9764 and 8976 so that the sum may exactly con- tain their difference ? 9. If 69x84x93x28 be divided by 21x7)<. 23 X 31 , fin d seven times the quotient. * 10. The smaller of two numbers is 99307, and their difference is 7639. Find l^e quotient of their sum divided by three times thei^ difference. 11. Find the difference between (523413 x 87 -^ 957) and (76849-f-23 x 92). :2. Divide 91384652 by 3768. EXERCISE XXill epioe beWeeii 7p6$j9$:^4Ci>idM7964668 <» hi\/i t FPPwnder e^ «6I .r) ,„ ^ earn ? ''« <=e«te per day; what doIaL V^ ' 6- How n,an„ ♦• ; • ' "■" ■"|°??,"*^'> boy ""d second. Find bL^^"'' !'"« ""e S*'! ,'S*V*« *'' tie numbers *W "^* *^ taken from fi "nd 98, to We iv"', ?«*«'% eonta,"n «! " """ "^ 70 rk • . , "^ ' ^ J o for rt^fn o ; JT *^etween 2n ^iO- Pi vide 39545 X 98 x-firK*^"/- m. I ^^ a train co ?is •?" "'y ^869. •"any hours will i**^? ^?^»"'es in ninpl, . . J2. ,Thep^i**?^j« go 455 «,"•"' ^°^''' how « three times Sm'i'*''^! 6432 and f l!. , ^ 283 ; what is the inuS£»?'"P''«'- i^^?a^»5«^^^e dividend ? """ ^'"° °f ">e IS^ ^- -ci doe. tCd^to\^-ri» divide 973«Ddl67|^?f«f«?' ''^"'^ ""kW T^hich •., * " — ./ « ^ ''"*-.«*«oia ^ft and 45 mc. worfch 48 ^d 45 lbs., >und must 6 product 5 m order 7? ex actJy ee ir, how' ? 70, the How 3r, the of the 1081, d is 3r by rcr car- Jght will 145 A I n EXAMTNATION PAPkkS IN ARITirMETIC. 31 9. If 7 horees are worth 21 cows, and 8 cows are worth n2 sheep, and 13 sheep are worth $91, find the value ot 2 J horses. 10. 4G men can do a piece of work in 7G days, in how many days can 19 men do a piece of work tw ice as great ? { : ' . ' :: '^* ; 1 1. By what number must 9G8 be multiplied to giiff, 847 times G59G8 ? .; .; I, ^,12. 2583G pounds of coffee are put into boxes, an equal number of each, containing 7 lbs. and 6 lbs. How many boxes will be required ? , , ■ ^ doB ' EXERGISE IIL, .■, ^ Ufw^.>^ ^fiu^ 1. Find the smallest number that will exactly conUin 324, 3G0 and 432. 2. Fmd the value of 4704 pounds of barley at (i4 cents per bushel. 3. The product of four consecutive numbers is 1 1880 ; what are the numbers ? 4. A farmer bought land from one man at $G6 an acre, and the same number o^ acres from another man at $74 per acre. The whole amount paid w^ $0^026: How many acres did he buy from each ? '." .xj£/if A PSi'sop4)pughtacertain number of barrels f»f flour for $2700 ; he kep^^ barrels for use, and sold thft.^emAiwder f<)r $336^ which was ^840 more than co^t. How.p^ny ])arrels did he buy ? ,.. 6. The feum of two.aijinh^^ is 9590, ani'tstr dinerenca ig A7fi8 : wha*. sta ihfv ssiar^kaT^ ? ^ 7. Find ijie least, num^r which, divide(i by 146» 219 and 365 gives 23 for a remainder in each case. ^« « «*8 each, or ,We;«t llTii'r "* *^2 EXERCISE IV. 1 Xj ■'-' J. V, . ?Sl*'ff«renI of »"•■»,•«* the productof th he sold t ^T"^ '*"«''' » number of ney with cen at $72 ^^Q sum to give $5120; •ch, for igit. 9 each ^di(j iVittmm ^ EXAMINATION PAPERS IN ARITHMETIC. flS The remainder is 104-, the quotient is GG3G00 more than the remainder, the dividend is 451087825 more than 8 times the sum of the remainder and quotient. Fmd the divisor. 7. Find the G. C. M. of G749, 14292 anrl 448G1. 8. The product of two numbers is 5G799] 870908 eJeyen times the multiplier is G4103G ; what is tha multiphcand ? 9. Nine times the sum of two numbers is 1 542G and thirteen times their difference is 2288- what' are the numbers? ' 10. How often does the greatest commo i measureof 34G5.4095 and 5040 contain the G. C M. of 945, 1485 knd 21 GO? ^ 11. How many bushels of oats will weio-h as much as 816 bushels of barley ? 12. If 7 horses or 21 cows be worth $840, what will 9 horses and 7 cows be worth ? EXERCISE V. 1. After 7688 had been subtracted 4896 times from a certain number, the remainder was 768^^ • what was the number ? ' ^- 2. How often can the G. 0. M. of 829,517 0^0 and 1 175 be taken from their L. 0. M ? 1, ^' -F^L.™^^ ^^'^^P ^^"^ ^^ sot for 75G984 horses if 7860 sheep are worth %s much as 874 horses ? 4. How many bushels of oats are equal in weight to (i8 bushels of barley and 51 bushels of w litMbii ; 5. To what number must 63 be aided so that the sum will exactly contain 187,119,85 and 34? Mi m ^-^ . «• What number ''""^^'°- , i- What i« ihJ^Ff?^^ n « cents If b^P"?"*^' °' °«te. the oai?.-P°""''« <» >""ch perCh f'^^^'.^nd the whe^t?^ **""? worth 2 Aa^^p *'*'"'°»te? ^"^ *>« times as ''ach other sffK *''® *^'''> miles aoart .„j '•'' ' '' ' •'«V res^ctei; l^f f «2 miKj 4^ *f f^"'' meet, and h<^^^' " how manv !i. "'.j'** Pe»' 3- A cJeik iia« o *i ® pays $5 a weplr ft. I ®*^«^ of Signn « ,..,•*•. Bought 42 P^fifi.^' !l? W^e in sev«n ^l*^**" dlilb«.-.,M^. METIC. ^ and the re- « J8 29, and nabers ? "ch must I sold ? »^Jli exactJ^^ trawberries lining $24. so that A ^ times as nr factors. >ounds or ^S worth tinjes as PProach liles per ill they ^ have *ar; he t* other >ss per iuore EXAMINATION PAPERS IN ARITHMETIC. 35 nesdav w«!vr ^^"'^^^ay,^^ ; the number on Wed- what is the number i ® ^ "^ ^"^ "'^ <1"''««'"- Ion V°"^''* ?** Sallons of wine at $2 20 ner iral u P^«^^** ^^^^ b® the cost of 26490 foAf ^f *• ber at $8.49 for 283 feet ? ^*^ ^^ *^""" 7, , .'^4 K'SSSSis-JisrS?, °' EXERCISE VII. B following y t. Hind the o«ux u* 4^ 8|, m 16^ and 20^. . , ; r * ^^ a number exceeds IS I of the number ? fract ions rV of it by 91, what ^10 ^f ^^ EXAMINATION J-AWSB^ .v "- o«e he'"gainedVo"m "" ''''^ f- '"OO each • on "t the two lot,,. '"^ '"" «nt"-e loss on the sale '■'^a...tI>Sain6'9i TH''1^,0W3 to make it «• By selling 'tea at Ifi"'' "" ^ ^°-^ 4*-of the cost r, " "• " ""••=''-" 8 neoost. imd cost of 18 pounds ''» I'ocket, and';;;t'to"Vi';'^'"=''^"h««Oin " '' -J'/e a aeSTn^r^' ^''^''^ ^ and' Vpa?t"S' TatH"^^^ '-hft «:^i:i, ^l^-'^f' -<» B femaindeno B aL'°,'l/ t '''? "^eep to A + of th J'ad ie/t 40 sheen tI '*''^' ''^ 'hen had'tA ?i ?" laken from 2]4i J.tJT*' °«ml>er that m...* '.' contain I7j f"' - '"»' -™e remainder may exactly EMETIC. '5>00 each ; on the other he on the sale to make it a merchant mds. Jd $72 less nd Byron's >^ fcas Nor- t one shall ith $00 in expenses B $29.64. pay to C % and B together I of the ioC;he at first? nitti* 1 exactly EXAMINATION PAPEBS IN ABITHMETIC. 37 EXERCISE Vlir. f 1. Find the value of VV of a farm, if ^V of it bo worth $4284. f 2. The product of three numbers is 194^ ; the first number is 21, the second 5}, What is the third ? 3. Divide the sum of the two largest of the fol- lowing by the difference between the two smallest : ,n f' ^^P^®«s ^ of l,v of \^ as a, fraction having 560 for its denominator. 5. I own ^f of a vessel, and sell Jf of my share ; the part I have left is worth $2970. Find the value of the whole vessel. 6. Find a fraction equal to |f whose numera- tor is 44 less than its denominator. 7. If the multiplicand were 546 more it would be 760900 ; if the product were 718936 less it would be 1167581714 multiplied by 5. Find the multi- plier. 8. What will 24 chests of tea cost, if each chest contain 41|^ pounds, and 7 lbs. b« worth $4.55 ? 9. Ihe divisor is f of ^f + j-f of | of ||, the quotient is ^S of ^ of H of \l, the remainder is i}-^^\. What is the dividend ? 10. If 39f btishels of wheat sow 18 acres, how many fields, each containing 15 acres, will 231 bushels sow ? 11. Divide $920 between A and B. ffiving A * as much again as B. 12. Find the least common multiple of 153999, 252327 and 528613. ^ t ^ P Ik*-"*' ^i ''«<»' *• Find the ' ""^ <>' ^ "'• If A of « »'«ad !) times *> the same xZkt\n"T^ ''» « days- J». "enry in jg j»'^ "> 10 days, Peter in i 9 t""** "'n do a worlc 6 tim^, . ^^ ^hat time d r** 32 oxen a^ ZlT' "'°'"' «" «.«ch a« «• torses are worth a^on.*^ '""ch as je il^ *'^ o^en. «f <«en and «^i!i29« ; &.d the^vioi'^?!?: «»d » ; a; 4t J KXIO. Of 4|, 7f , 'ftrJey on >und8 on and 80 >i' bushel '»« been I one of ^' each ig 135 ers is times s the duct can md her sn, £6 KXAMINATrON PAPKR« IN ARITHMKTIO. .10 tain Ibh^nfi^^'' ""\^"''* '^""^^^^ ^hich will con- ft remainder in each caHo cniml hr f «.•«„ *u • ^ common measure. ^ '''' their greatest seed If if'Jin"'^ f'^l^^ '^^^-^ «^^ t^usholH of clover seed at $7.60 per bushel ; he bought 2Hk lbs o f tl a'nd^fi"?b;'of sutr'llT;^ "'^^'^ P^^''^"-^' much mone/cVdrb LgUt? ''' ^^"'''' ^^- EXERCISE X. when itSwii^L'^f :itr ^*^^«^ ^"^«^" * 27 or g3p '"^^^^'^ ^y ^^' will exactly contain 18, 24, 2. A merchant lost i of his nonUoi « i xt =? sarr *^~"' » iCvf i" 3. The remainder is 663 less than flir^n *• the nroduct nf 9fi a^A i^ !:V ^*" ^^^^^ times would there be ^^ ^^"^ ^^ g*'^*^ V'iiii *" EXAMFKATfON PAPEns rv . 1«2 pounds of sutrar af lo " P'"°««ed.s, purch«^«,l •-»y pound, of X;L;-Veri>o?ndt 7 1 Lav 4""'*' '"'"''"eo? ^"'^ of. potatoes, w,!r,'"'»"''i»'<>".w. "car;* I.,. 1^ S'i'ocer sold tea Af r*) 10 r"" ^ '^ ■ ^°'" °" *^ lbs 630 and 882.'' ""^ '«'«' <*'"»o„ m„,tip,, „f ^.^ S78 ' ^79G^j335rtShiS Sir °^ '^'> -""be'. ;,' 12 Tlti""'^'?^ "'""'f"^' « *58 'wxes, "each ^oi?'-"'*"'®®''* cost «220i t,^ . 1. The ,,uu, oS^ XI. — -J iiiiic limes to tJiirHr *r''" " ^'' oe added the sum will be 4.!ifiZ """^^^ thousand anrl fi.-:f-': 43834. thirty -W' flMETrc. ^ per bushel, ^«. purchased pound; how 3 of. potatoes, ff of the ro- ^^oG;l Jost "loney had liml weight 'wch money pound and ^^ price to ow 48 lbs. ?• 252, 3^8, 'mbers is ' is 458. w many "ght for •^ by U afided thirty EXAMINATION PAPEBS IN ARITHMETIC. What is the smallest number which, after having been multiplie*^ by 39 will exactly contain 52, 78 or 117? 4. 65 1 is ^ of what number ? 6. If 28 pounds of sugar are worth 6() oranges, and 21 oranges are worth 03 apples, and 13 apples are worth 26 cents, how many pounds of sugar can be bought for $3,24 ? 6. Colii Cameron willed $480C() to his family; he left 1 to his wife, ^g of the remainder to each of his five sons, and divided what was then left equally among his six daughters. How much did each daughter receive ? 7. Seven times the sum of two numbers is 1288168, and half their difference is 4419 ; what are the numbers ? 8. I sold a house for $9639, gaining J of | of the cost ; what was two thirds of the cost ? 9. Two-ninths of a field is planted with corn, two-fifths with potatoes, one-third with turnips and the remainder, which is half an acre, with onions. How many acres are there in the field ? 10. Three times the product of two numbers is 142861134, and j\ of one number is 3227. Find five times the other number. 11. What number must be taken from the sum of 93^ and 27i to leave a remainder equal to the sum of 8J, 9f and |- ? 12. The factors of a number are 3^, 4|, 7 J and 2^ ; find fifteen times the number. (, It-l 42 2«"« ■■' «o fsto f P."'-<=h««ed tea at A, .ItV^''^ °^ 'fit LV^etV-W. , o, +* *;, ^ wan spent ^ ,.. *^ ' '^''«' ''« the portion of « o '^*'f **; amono- 4 p the ,aS ''"• «^««*0. C Wo;V^^««^ -d 9. Reduce mun^, . •""* ''*' "* ot the cost. WW ^^^^^^ J 98 "flat wa« *»-- ^ ' l'<''.^;2'^=; ..aiiflferahirf-aikj HMBTIC. '^ product of WL*^^ and ^^^^'^^ price; " cnest con- ^^her, ^ of ^^afc is the found that ^ch money ^, of the ' Jeft for ere there 43 the pro- * IS 995, 's. 50, and •St was and ^ 'hares $198, uoat ( EXAMINATION PAPERS IN ARITHMETIC. >nu •2- What number is that from which if 19 be tits tdT?'"^"' ^^" ^' exactly dividble by ^ EXERCISE XIII. f^r «?^«nn^''"';i"'T^''^^''i ^^"^^* * quantity of flour barrel. How many barrels did he buy ? 2. Find the value of ^"li^^lilA ^j ^^g^ i« 9?'//i«^®''° ^^ three pipes which will fill it in wlimrft. °?"'''^'' respectively. In what time will the three pipes runumg together fill it ? fr« J'- r ™®'' '>'^ ^^^^ *^« «a»"e place and trave. m the same direction, at the rate of 4i and 6 J miles per hour respectively ; if they travel 8 mZ'sTart ?*^' '"^ ""^""^ '^''^' "^'^ ^^^^^ ^^ ^^^ nnnni ^T^i^o ^^ f"^^^^ °( *^*' ^^^^ Containing 64 pounds, at 52 cents per lb. Sold 576 lbs. at 68 I^Ik^^^?''''"^ ^""^ *^.® remainder at cost. How much did I gam on each pound ? fh ^1 J^® ^'i"^ °^ ^^ ®^"^1 numbers is 28214 less Sbers' ^ '* ^^^ *°^ '^^' ^'^^ °"^ ^^ '^« 7. 26 oranges or 39 lemons are worth 78 cents • otnL:?'^' ""'"' °' ' '^^^^ ^^-'>°« --^ ' d"en "'d four fractions whose numerators shall and 14 respectively, and their sum be 4, 6, ] to unity. equal f'fff 5r«f! lilt t^ ^^- Jf A nf o "measure of 39J ^''«t part onh:V^,^'';k„<^a be do«e in 3. . '"*°^ animals 1 ^ . EXERCISE XIV. <^f butfcer. ''^^^ 24 lbs. of nUJk f^, ^ ^^ cents cost $19.80 ? ^ ^^* J^ards of sijj, ^,,, ., rem ?'>--Z"r'r?^^«"^^^^^^^^ >- ^mwnder to 1^ !** "^^.^'s money t« 4 ^^^^is money '*^^e at first? *8Ureof ,S9J,^ ^S dajrs ? "^ ' 'rcKasin^ an ' ^«e sheen •*ch horse 4 '^y animals EXAMINATION PAPERS IN ARITHMETIC. 45 rounds of ^ii5 per 3fc of tn^o ^'wbers is de from ^^ cents e pound i yards 96 he ad the an B. 8. Find the least number of ma! bles a box iiiu.st contain so that they can be divided into lots of 7, S, 10, 12 or 15 and leave 8 marbles in the box. 9. If a carpenter can do J of a work in 24 days, how long will it take him to do ^ of the work ? 10. Find the greatest number which will divide 10397 and 54018, leaving as remainders 48 and 01 respectively. ? ii T^* • * J . i.^ 11. If 376 be added 29 times to itself, by hi.w much does the sum exceed ten thousand and ninety- nine? 12. After a certain number has been multiplied by 78, seven-thirteenths of the product is 3768()G. What is the number ? ed h tr EXERCISE XV 1. A boy bought a number of apples for 84 cents, at the rate of 1 3 for 7 cents, ana suld th' n at the rate of 12 j cents. What v/as his gain ? 2. Aftc^ the product of two numbers has been multiplied by 31, the result is 6718570: six thir- teenths of the multiplier is c>u. Find the multipli- cand. 3. If to A's money you add | of it and $28 the surr; will be S220. How much m( »iey has he ? 4. A horse costs $160, and f ^ of the cost of the horse is twice the cost of a cow. i ind the cost of nine horses and nine cows. 5. A certain number was taken 787319 times from 673945218 and there was a remainder of 154. What was the number ? P<"ohase r' **« other, V^*h«« i« p.idV"^«| •' M 23 cents "■^'e wi?/gf, « ton of iro„ ^■""^ '^ ^1 3 '^,'«i tons cost k " <»»' $SS h 3 tV'^* tone cost ij."""" «»' «55 h W4 ^^P'^doctTfe^" «' tons? ' *"* ffluch ' ""^^^iplied by ^h^i ^u«t be ^ep,and 168 ^'^es can be ^^;ese, each '^'^^ and is '' 23 ce« J '^ .^ ^e pro- 'enfc f '^ ^m of 29 ^^ seven ^^er cost ^^^e cost S5, 776. lit, the Wor is JfiXAMlNATlON PAPfiRS IN ARITHMHrnC, 4^ EXERCISE XVIIL 1. A merchant having ^30000 expended |i of it for cloth at $2.50 per yard ; how many yards did ho buy ? 2. A has 1395 shedp, aud r\ of his number is equal to U of B's ; how many sheep has B ? 3. A garrison of 1620 men has 416066 pounds o4 flour ; how many days will it last them, allowing each man i\ of a pound per day ? 4. There were A (^*t^' *^^OH^ep stolen, and 2460 were left ;1iow many more were lett' than vf ere stolen ? 6. A gentleman spent ^ of his life in London, J of It in Guelph, | of it in Brantford, and the re- ma^ - of ifc, which was 13 years, in St. Thomas; wh .^ his age when he died ? 6. If J of 3| pounds of tea cost $12, what will ^ pounds tJost ? 7. A farmer exchanged 960 pounds of wheat worth $1.15 per bushel for 31 bushels of oats and $6 in money. What were the oats worth per bushel ? 8. Bought 48f pounds of tea for $27f ; how many pounds can be bought for $378 ? 9. A man bought a drove of cattle for $15540, and after selling 280 of them, at $43 each, and the remainder at $25 each, he found that ho neither gained nor lost. How many did he buy ? 10. A boy spent f of his money, and then found that $27 was } of what he had left , how much money had he at first ? 11. Find the least number from which 18, 36, 54, 81 and 108 can be subtracted an exact number of times. so L!r^- --ber ." ""'-'--• .n;;i; ' ^ ^o««. fc*"'' "^ ''oy can / at 9fl „„ X S" H^aed I ^i? ** cents li-' » "■regained? ' ***' Pwt of th! f "1 ^^W it I ^■»SSSl&lm'^m»mi •aseKasj- TmiBTta '^''^ if ^9 he '^. oi ciover clover seed ^ushefe of ' a wintei- nfcers ? '^ ifc by 59 . must be S§ ? ^7 2S§ 'od and soJd it would ' in 5| => fcbe . »t be 3 4H * EXAMINATION PAPEBS IN ARIl'HMETIC. 51 it COSU ^^ ^^ ^^ * ^^'^ ^^^ ^^^^^' ^^** "^^^^ i* ^^ 12. Resolve 102102 into its prime factors. 1. Simplify EXERCISE XX. l + fof} r-^H. 2. John and James can do | of a work in 10 tTk Tl^T ^g^*^^ '/oh« ^lone can do J of the work? ^^'' "" ""^^^ ^^" ^° Jameldo the 9ftii 1 ^' "^x^i ^ ^^"^^^ ^^ cows at $45 each, and 286 sheep at $8J each. A paid ^ of the monJy B f of the remainder and the rest. How much more money did C pay than B ? fnr ft^*.?"""^ niany/ears will it take a man to pay «Tq Lf ^' l^ ^*°f '"^^'^ ^^ P«' '"^r^' if ^e earn -52 weeksf ' "^"""^ ^^^^ ^'' ^^^^^ (' ^^^^ 5. How often does the sum of 28i ard 19* contain «ieir difference ? ^ ^ ^ nf^;».f person ?old 17 horses for $1666 gaining iV of the cost. Find the cost of 9 of the horses. ^ «K«iT k ® ,* ^°*^ *^<> parts such that one shall be greater than the other by 8f • a^-) .!«.^ ""^ *^^ ""T? ^^"g^^ 3^ P^««^8 of tea the load ? ^'' ^^"'''*^ ^^"^ '"''"^ ^"«^^^« ^^r« i'^ the load ? Q A remainder . did A get? iML^JU. g«ve ft 01 his money to A, | of the money and had left $04 ; how much I ", and 4 -^ "owes and 19 - ., . ^2. Tile L P u ^® *^^8*? ^® ®^^^ it 54 sheep if LT* cost $912 wh.f • . each a„a JdZ%i°'^«\'M «* be bL"":^ ^ ,K ^; -^ones hal 'i** !'^^' « order t^*"." «85 the other 1234 TI '^l farms one of *,?"' *'665 ? '^'•^'^ h,&r ^ ''•' '^'^m^^reffCr^T »2*9 in the^^" ''^ ^nd per week LV'""-'' '' *"* ,, 9- WhaHnL ■ ^^'»°'l still save ^7 "-"^s itsdf a"?^o' 11 y-at to which if «"« W, the sum is 1 «aS , 'f J'ou add ''^^^^^^^'^^'''^^^^^^^^ftK^iSSSS^^SS^ I worth $1350, J« value of 17 ^00, losing ,. ^ «ave sold it ^« 59059 and •3. ^^f fraction »ea, and hy loBing ^ of ^'^^ whose ■ ?hiiig 49J ^<^ntain- value of t at 385 ^1665? 'J'es, and «r many ■J* ; how in^save 3uadd EXAMINATION PAPERS IN ARITHMETIC. 53 10. The average of four numbers is 729, the first is 678. the second 807, and the third 1064 ; what is the fourth number ? 11. A ^rain merchant bought a certain number of bushels of barley at 1^ cents per pound, and sold in at 93 cents per bushel, and by so doing gained $7.83. How many bushels did he buy. 12. What must be added to the sum of ^, 8|, and 11^0 niake ^j of 49 J ? EXERCISE XXII. 1. What is the smallest number that must be added to 89 times the L. C. M. of 21, 35, 56, 63, and 140, so that t!>o sum may exactly contain f of the G. C. M. of Si303, 3619 and 18818 ? 2. A grocer bought 7 J cords of wood at $3^ a cord, and paid for it with tea at 87 cents per pound ; how many pounds of tea were required to pay for the wood ? 3. The remainder is 76 less than seven times the difference between the least common multiple of 24, 36, 96 and 120,and the greatest common measure of 376. 517, and 658 ; the quotient is 133542 teas than 63 times the remainder; the dividend is 356813100 more than 19 times the sum of the quotient and remainder. What is the divisor ? 4. A grocer gained $7.90 by selling 56 1 pounds of tea at the rate of 27 pounds for $18.09 ; find the cost price of 25 pounds. 5a A farmer nurcbased 18 buolif-ls of whfLit at 2 cents per pound, and thus spent 60 cents more than i of his money. How much money had he ? ' <«flfenite li; *"<* ''•e other th™ *"««'''«'•; th« did th! ^^^'^ Jess than fL """"ghter; tL^*'^ *°n- 8 I?" receive ?*" *'"' ^O". How ol^-fhter ^ft C C ." "^eome ? *^' '">^ much greater ?f •»"«* as A an^.T'' »oney a, R ^es of land at «Q« **" '^oney eL ' ^"^ « has j B and n ?'*•'? J'er aor«^ ^"""ffh to bnvTo^ — ^;« as A anJ^J . " wonev a. T> ;?'' O togetherT ""'■ ^oy^^ot^^y m ^-»feetionerL.,,„..^ ' """"^^ r™» of Jand ' T- ^ na ""OX, each r^f^e'ioner L^., """"^^ tT^ ^-ijtTSiv'^S^^^^^^ *«•«« per • J ;^^"A^^,^r *'''-»'« oH?^^^^^^^ •'' «>JWals did be ^y f ^o' imSSKTfSi ff^her; the one »'"der and th"; ■« acres. Pi„J 'he daught^; '^ Much monej- ;»erator and ^"eh greater »»<> B has ^ to blltr loA uch ^"y 126 fiJoney i'^ oranges ^^ich he ^a 8heep. ® «e can rcon- EXAMINATION PAPERS IN ARITHMETIC. 65 2. If f»j of a mine be worth $2100, find the value of i of /r of the remainder. 3. A Wine merchant mixed 72 gallons of wine worth $1.48 per gallon with 24 gallons of water; what was the mixture worth per gallon ? 4. How many bushels of oats and barley, an equal number of each, are as heavy as 41 tens of hay ? (1 ton = 2000 pounds.) 5. How much must I add to $8.47 to have a sum equal to the difference between $19} and $58.97i ? 6. If a boy buys lemons at the rate of 13 for 39 cents and sells tnem at the rate of 9 for 45 cents, how many must he buy and sell to make a profit of $5.60 ? 7. I of A's moroy is equal to 3^ times B's ; if A has $3600 how much money has B ? 8. A farmer bought 17 head of cattle at $48 each, and 21 haad at $56 each ; at what price per head must he sell them so as to gain $402 by the transaction ? 9. A merchant expended $1620 for goods, and then had left ^^ as much money as he h^ at first ; how much money had he left ? 10. If a person travel 262 miles in 7 days of 9 hours each, how many miles can he travel in 13 days of 8 hours each ? 11. Kesolve 889066 into its prime factors. 12. i^ixtu tne value in dollars and cents of 27 horses at £32 each j the pound being worth $4.86f . 6(i ii T, , ^- A man ^-^^^KOISli: XXIV for two of the fSV"*"''"""""- KtH-'i'',: S^"'"- ,^| pounds of cod «; ^ P"'""** for »I Of) , f pounds of tea*> f ,^ pounds for IrSi' .V of t^f '•S"v«gatl;'/ P^»»d« for sJli**- cost as much a^ li f^" "^^ »4-48 Vnd 1 1l5 ^^ ''"J'? pounds of «^!! ^^!¥- of coffee. h„t"l.« l^- of tea iETltc. Purchasinir '"fc3 a bushei ^^ ^he samQ ^^ of busLeJs ^ "id he pay ^^'^' divide ers 17^ S7 cJes : "sJiel. buslieJ. Sl.OO. ^1.44 92. ^nd then *s» thau »ss than ^ ^, «8 k con- it for i buy? >f tea IJ9^ EXAMINATION PAPERS IN AniTHMRTIC. 57 10. A owns ^-i and B | of a bank ; A's share is $92000 less than B's; what ts the capital of the bank 11. Find a fraction equal to j) whose numera- tor is f . J ' r 1 '' 12. If 4 men or 8 women can do a piece ot work in 63 days, in >vhat time will 8 men and 5 women do the work? ^ - ^ '■■''■ EXERCISE XXV. 4 to 1. Jbtirt li43 f of I of $88.56 ; James has ^ of 3^ of I of $143.36 ; Henry has ^f of $173.68. How much money have they together ? 2. The greatest common measure of four num- bers is 151, and their least common multiple is 2569567. Find the numbers. 3. After 324 has been taken from a certain num- ber, f of f of the remainder is 2768 ; find the num- ber. ^. „^ , 4. B bought 87 gallons of wme at $1.65 per gal- lon; 5 gallons leaked out; he put in 14 gallons of water and then sold the mixture, gaining $27.33 ; at what price per gallon did he sell the wine ? 5. A fortune of $5700 is to be divided between two brothers; the elder brother received $11 for every $8 that the younger received. How much does each get? 6. How much water must be mixed with 48 gallons of milk, at 21 cents a gallon, to get a mixture worth 16 cents a gallon ? 7. What number must be subtracted from 964137 to make it exactly contain 28, 39, 52 and ^||^3 1 58 t, aB3Kssa»iBs»i5s»E~»- METro. ^•^^-"^ '"''C; per ^ '•®suU to % ^« ie Jeft? EXAMINATION PAPERS IN ARITHMETIC. 50 [ at the ^d the > give and , 89 19, 7. 67 horses are worth as much as 268 cows, or 1340 sheep ; if 19 sheep be worth $152, find the value of 18 cows and 18 horses. 8. Find the smallest number that will exactly coutaiu 54, 63, 81 and 144 after 37 haa been added to it. 9. John has 2 as much money as James, and James has f as much as Robert ; if Robert had $847 more he would have 117647. How much money have they all ? 10. If 16 men aiid • EXAMINATION PAPERS IN ARITHMETIC. 61 2. A is worth $1497, B is worth $186 more than three times as much as A. C is worth $3689 less Jthan ^ve times as much as A and B together. D is ^worth $589 more than the other three together ^ow much are they all worth ? 3. After a certain number has been added 48 times to 68975 the sum is 10'?431 ; find the number. 4. Bought 968 bushels of wheat at the rate of 17 bushels for $18.36 and sold it at the rate of 43 bushels for $50.74; what was my gain on the transaction ? 5. Find the largest number that will exactly divide 11496, 20597 and 24429 after 81 has been added to it. 6. Of the pupils who wrote at a promotion exammation tV foiled in Reading, ^v in Arithmetic, tV m Spelling, ,», in Grammar, ^V in Geography and o08 passed ; find the number of pupils who wrote. 7. A man lost J of his property at one time, and } of it at another ; he afterwards bought a house and lot for $4580, and had still $5276 left. What was he worth at first ? 8. Find the remainder after 9584 has been sub- tracttd from 88789980979 as often as possible. 9. A farmer sold 2 horses for $210 each ; on the one he gained ^ of the cost, and on the other ho gained J of the cost. How much did he gain on the horses ? 10. A clerk's saUi^y is $700 a year, and his personal expenses are $6 per week; how many years before he will be worth $7544, if he has $2600 at the present time ? !'/ Wat .°; acres of eri^^' the ^1f \^^e and ^^6 acres ^'^hors^ ' ^m, t® per fc did 'ays, tier >ur- nd EXAMINATION PAPEBS IN AIIITHMETT(<. C3 *r«vJ\-nri!'^^'''''"'i?**'*^.^''*"' the same place and travel in the same direction, one at the rate of 33 miles per hour for 8 hours each day, and the othei- at the rate ^ miks per hour for 9 hours each day • in how many days will they be 522 miles apart ? * 0. A farmer purchased a certain number of a^res of land for $120786, and sold 1840 acres of it at |63 per acre ; he afterwards sold the remainder at »84 per acre and gained $47635 bv the whole transaction. How many acres did he buy ? ««M P A^.^rover sold A of his flock of sheep at $7 each for the sum of $1764. The remainder of the sheep he exchanged for cows, giving 7 sheep for 3 cows ; how m..ny cows did he get ? ,-f of Ifi ^ "?*° ^^'i ^?i *^"' ^^ ^^3^ > he^sold W of it at $8 per ton, and the remainder at $10A per tin • how nauch money did he receive for his hay ? rl«,r« • i ^\ ^^^ ^ ^° * P^^^® ^^ ^^t)rk in 96 days in how days can they do the same work with the help of 11 more men ? 12. A person spent $76.64 in purchasing? an fr . ^^^®'' ""f ^''"''^® ^^*®*' coffee and sugar ; the tea, at 7(5^ cents per pound, the coffee at 24f cents did heV "f ' ""^ ^^^ ''"^- ^""^ *""°^ P^""^« ^'^ *^^ of at 1 rice make KXEROISE XXX. 1. A linuor d<*aJAr rnn»<»iinqf.j -lonn ►er gallon : SO gallons leaked c I" gallon must he sell the remainder profit of $280 by the transaction ? .^11 ^^ jue at what so as to t,* jDt »• i>0 i'iT,l ^mh '/'",M Hi »»'.", w"" '»""«-- «. 2 »»»««,,, """"""mo. *«djdheseJJ? *'2 each,, ho,? «*'f^« flock, '*• *"»<» the vaJue of _i:!^-j' *«vu.g 432 Cl;^*' *i "Wd « lo 5 '^ , li. The dfff '""»'°ator. ^^""^ fraction. thenumbei? ; ® '■* 4379512^* • P^'odnct of f» f;=«^*l(S:5f5;:;,'» '^^^aw^^iRwts^^' * •■ *!S8. which f'Ws flock ">y "beep in' *" 28 oxen. °^oof oxen "? oats, an ?"* to S87 -J ^ aoes each ' 9«oeieiifc ^c% con- imbens ia 0^ two one of 'dand EXAMlNATIOxN PAPERS m ARITJIMETIC. *'< G5 'f EXEUCrSE XXXI. 1. Find the least common multiple of all the numbers that exactly contain IC between 48 and 128 inclusive. ' 1 1 ^; ^j^"/]^*' .? ^^^'^ ^" Dakota for S5G320, and sold ;^ of It for $42560 at $19 per acre. How i^anv acres of land did I purchase, and at what price per acre r 8. The remainder is .^ of the divisor, and the dmsor iM ^-J^ of the quotient; the remainder is (33. J^ind the dividend. • ,, , 4. A drover gave $11 5 20 for a certain mrfffber of cattle, and sold a part of them for $5670 at $21 each and by so doing lost $3 per head. For how much a head must he sell the remainder to gain $870 on the whole ? 5. The 816th part of a nurabar is 837609. What IS the seventeenth part of the number ? 8. If 23 pounds of tea be worth 368 peaches, and 79 pea<;hes i)e worth 158 apples, what is the value of 18 chests of tea, each containing 67 pounds^ when 17 apples are worth 34 cents ? ^ ^7. The sum of three fractions is m i the fii-st fraction IS ^% the second ^\. Find the third frac- tion. ^. If $1 buy 2 of a pound of tea, find the value of 87 pounds of tea. 9. A person spent $9892 in buyincr calves .sheep cows and horses; each sheep cost $12 which was three times the cost of each calf : ^oh l,^ro^ cost 5^144, which was the cost of three cows • there were 19 calves, 38 sheep and 114 cows. Howmanv horses were there ? ^ I II Ij ;/(: m ^' '("n,; Pi(,:( ^«- Jones. /^''^^'B-Wic """ «»e correct re, • man i>, f: "»«». 26 •'Wre«t^"*"<'a ^-.^ take, '' travel, "I to .'X-'l * ^^^Bheh of >^ otts (ioes ^ *^an the ^^Id We ■^^ t!i«a and comber ? ^h» ir 89 at ^2^ aa to I and 3t re, to a to *!XAMiNATION PAPEHS m ABITHMETIC. 67 L. CM.i, 168508 What«.X\TmV;^ f *'""■ wishes to purthf^aX„Si?r^i>: St ^"^ *""' '^^ '"''' -»°y Wns of eac^ sold foftL IZfJ^'. SsK^"^^^ '^^ toBoe. Find the v^aue^oV'teSnl^/eX'r adde^-to'o.tul*? onts? "a^ 7^^ ""t* ^ exactly oontain 18f ? *' ^ ^ ^^^' ^ "«*« '^ we 1?1 JS ^ i^ ^"f """^ "?°^« numerators ¥i C an5Dt«therhave^«2n' r"'"/ '^«'» !269; B, 8148 ftn,1^.^j n ? »? ' 3 i C and D together have EXERCISE XXXIII. 1. Four hundred and seventy-six times «. nor i^^number is 41701884; what isVru^^^^^^^^ I ' -x- ^X^AitlHiflon PAP "•ml.. 7/""' '"sll n .i °' ». >. *l ^^'s^^ssteBsgsassssBfsjgt- ^ 'n "666 «800 17 ««•■«; in hoV lumbers is «q "" 0^ I h n -a. each con- wtoiJed it at fjgained ^^' acres ^^ ^Ae quo- ^e divided I ^^ «^en *-^<>. eacii' ^any Were -"between 'ven and ^6 ^«ten . s^eJs of y more ' thvcQ Kan^^ -1 Of the ilXAMlNATION PAPEBS IN ARITSMETIC. 60 12. The factors of a certain number are 3f, } j, lil and T*ff. What is ninety-nine times the num- ber? EXERCISE XXXIV. 1. How often can the G. C. M. of 4434, 6661 and 8129 be subtracted from three times their L. C. M,? 2. A farmer mixed 24 bushels of peas, worth 60 cents per bushel, with 72 bushels of oats, worth 32 cents per bushel. What is the value of 8 bushels of the mixture ? 3. If 875 be taken from 7 times a certain num- ber, the result is 65394. What is the number ? 4. An American buyer bought a certain num- ber of horses for $11760 ; he sold 43 of them for $5934, and by so doing gained $18 on each one sold. How many horses did he buy? 6. The quotient is 19 times the remainder ; tiv divisor is equal to the sum of the quotient 'and remainder; the quotient is 16637. Und the dividend. 6. What is the smallest number that must be added to 3271954857, to make it exactly contain 483 ? 7. A wine merchant bought 36 gallons of wine at $3.20 per gallon ; he kept.8 gallons for hifi ov^n use, and after mixing the i^6iiiamder with water sold the mixture at $3.48 per gallon, and gains on his outlay $30.96. How many gallons of water did Tie auil r 8. What number must be taken from 671i to leave the sam of 187| a&d 249| for a remainder ? '' ', ;,)'/ ;„ii,'(,< •'^ «»t »5, and C «7. "'"' for '■ 0/ fi^dl4^^^^^V ' flow^ilPf bushel ^■'?'n«wder^°' <' a 1; f ""» the amount „, .,, ""• ^""^^t 2«f pounds of oato V^J^' ton^ ^ ^'^ •- f'^ pounds of^^'^'^f cents jirh, k , f'frardso M«r ''«ti2c ,*i^ " =hel • *■ A fairer t^V!' «-35 « v^J*' P""""^ ''« paid at ^p^' S^*" 225 b^'"^: : ho .„ij ..* paid At «i, . '""^ acres ._ JV *5^ * Wfra **»«* the kJr© f hat for Be li est EXAMINATION PAPERS IN ARITHMKTIO. 71 5. A farmer sold four loads of barlev wp-Vhinr* 8216 2832, 3024, and 2-36 ponntZ^ltll^ ^iJ ''^?*'i'^^H^^°« 2822, 2684, ind 2^6 Dounds respectively. He received 43 cents per bushei for the oats and 68 cents per bushel for the H^I^i ^iT "^"<*,?ore money did he receive for the barley than for the oats ? 6. Nineteen horsos are worth 57 oxen, and 17 oxen are worth 34 cows, and 28 cows are worth 112 ttV^^ ^^ «heep are worth S91. How much more 32 (its r'^ ^ ^^P '^°'*^ ^^^"^ ^* ^^^^ ^'^d *k ^I: ^ ^""^^^ ^*^® to Xfyof his money, to B three kmes as mucli as to A, and to C twice m much as to and B togethtr. With the rest of hifmoney *Pii H^T ^^^^ ^^"^^y ^^ ^e at first ? contain r57i\T27 i^^^^ 5?9"2f ^'*' "^" ^^^^^ yar '•co!rS2a80;^"^°'^'* ^^^^« ^^ "^^'^ ^A 0. ileduce the following fractions to equiva lent ones avmg the same numerator •— f.fff. il»andff 8Q09^7fiA^^ J?!?""^ ""^ ^/? consecutive numbers is 89927760, find th. jum of the numbei .r.r., — ^ ^^^^ purchased 18 pieces of el. a, each containing 24 yards, at $2.76 p r ard, and mad« from it 54 suit, of clothes. How mucrLrhe receive for each suit in mier to gr a $194.40 f 72 „ , ,, mrn CLASSES. ^^'"On equal An ^i , *"'■ 1 ^f A lea. tba„ j^ ?„ *" Til ''''°«« "umer.- , ^0- Find th„ . ' ^°"«'" for i°«« «?d 27 feet .12!' l.?Tet«/r a i,„„. ,. . ^AfET^C. EXAMINATION PAPKRS IN ARITHMETIC. 73 V 1 ' ' ^'«i*f of a ' *^at i of e «halJ he ^e mixed * aJion, to umerii- '* and bt for 11. The average of four numbers is 21 J ; the first number is 17i, the second is 14^, and the third 22 J. Finu the fourth number. 12. Find the least common multiple of 18|, 21}, 27rVand28i. ( <'i e» oil U,>3 EXERCISE II. " 1. Divide $6200 among A, B and C, so that four- fifths of A's money will be equal to eight-ninths of B's,and one-third of B's equal to one-fourth of C's. t 2. A grocer sold ^^ pounds of •offee, at the rate of 11 pounds for 14s. 8d., and by so doing gained 15s. 8Jd. What was the cost price of the cottee per pound ? 3. By what number must 66 miles, 6 furlongs, 32 perches, be divided to give for a quotient 2 miles, 3 furlongs, 3 perches, 4 yards, 2 feet, 30 inches ? 4. What will ^| of a vessel cost, if ^j of it be worth $8973^ ? 5. If 12 men or 18 boys can do a piece of work in 58 days, in how many days can 7 men and 4 boys do a piece of work three times as great ? 6. Find the value of a field -^'y of a mile long, and 48 rods wide, at ^\ of a cent per square foot ? 7. There ar6 two numbers in the proportion of 14 to 37, and the smaller number is 294 ; what is the larger ? '■ 8. Simplify -^i+M-i^ll^ 911 P"-^16i-ll.«-f-5 of S}^^^-*' 9. A and B caa do a piece of work in 12 days : A can do 1| timet as much as B in the aatne time. In what time can each by himself do the work ? I' ' ■M| mil I Mi mF J i ■^'fl i Wi i w^^fl IL;',^**^ iB«a^ <»o 'ot t °*° ''o • piece „f ^ '^"°*' do « „j„. ?5 days. T„ ^i^f ."•J^. and O »S ^ <«» *^* per cord 9 «o tW, B In ^i*^> and ^^^^\th, at * confcs per ^^^ much ' W, and '^*'Piied io iSinches **o end » the $ 76 pounds, ' times ?«eiber KXAIONITION PAPXBS IN ABITHMETIC. 9. A^ong how many persons can 3306 acres, 22 perches, 22 square yards, 3 square feet, 72 square inches, be divided, so as to give each person 48 acres, 1 A^' iu P®'^®^' * square yards, 7 square feet ? 10. The value of a pile of wood 96 feet lone and four feet wide, at $8.75 per cord, is $95.62i. How nigh IS the pile? 1 ^1*.. X .*.* 7^ ^^ ^^«* ^ ^«ililver salver weighinir 2 lbs., 8 oi, 14 dwts.. 21 gre., at 8s. 4d. per dwt? Il.'fl, Mi fj; ! 76 f." 1 ■t ' 7 FindtK ^^ *«ITHAfETlc cachet- K««, ^^^'^ce, and tha hi j ^^ ^^e*. 8 fur., 40 per Ran j ® ^'n** one. in «f;„ 'i *"« 'ore .. "• awlei^t' ^®*» feet /° ^"'"^ « ""iV 7 *hat the firet Z.*^^^ peaches amon<, tK . receives 18 ""'' '^« ""ird 21 as ofte^ H ^t '''"'"^ 12. jf 2, „ ^ ° *^ the seconeir L r^» ^- ^ four 3 SJw ""'nbers ? ,/ ^* C- *f- w 614745 «'«ht brTctTre'r:'"^'' 'And^^.i ''^-^ ""?. 4 inches w/jl'*. /^ ea«h b okll'' ^{»^. .-.« 4. Multiply ]« ^.:, „. '""a Jhe ^iivU^S 0759. ^ iur.,4 ffMETIC. ^aper 2 feet 2 ;e press in 4^ y hours. J^ '/ 5^ pages ? a-^ xiumber of and shiJJing^ ^•^ n feet, 8 le 15 feet, 9 'ill the fore ' 5 miles, 7 II boys, so tne second the secon(i 'ork in 35 the work ? « fehatB 8 than C. ^^ • of four /jl ',514745. ^/i^ ^wenty- inches 'Qd the feet, 7 EXAMEiSilON PAPERS IN ARITHMETIC. 77 5. One tenth of the difference between two numbers is 144, and one-tenth of their sum is less than their difference by 1224. Find the numbers. 6. What fraction ia 3 quarters, 12 lbs., 12 oz,, of 18 cwt., IQ lbs. ? ' ^.o o oA 7. Find the value of 27 horses at ±.18 bs. m. each. Give answer in dollars and cents, the shilling being worth 24i cents. . , .^n/^ 8. If a cubic foot of w ater weighs 1000 ounces, how many tons are there in a pond which covers 1 J acres, the water being 4^ feet deep ? , . _ _ , 9 John does H of a piece of work m 33 days. He then calls in James, and they finish the work in 9 days. In what time could James do the whole work by himself ? ,.,,/. 10. A grocer buys 19cwt.,3qrd., lo lbs. of sugar at 5 d. per pound ; how much does he gain or lose by selling it for £2 14s. 2d. per cwt.? 11 A room is 24 feet long, IC feet wide and y^ feet high ; what will it cost to i)aint the four walls at » 18 cents per square yard ? , ^ . ^ ^1 -^ 12. Forty-iiino sheep and 36 pigs cost i^loU, lis. 4d. A sheep costs 138. 8d. more than a pig. Find the cost of seven pigs. EXERCISE Vr. 1. From 169 acres, 1 rood, 12 sq. yds., 1 sq. ft, 04 sq. in. take 126 acres, 2 roods, 23 perches, 19 sq. yds., 5 Svq. feet, 87 sq. inches. . 4. The tore-wheel of a carriage is 8 feet in cir- «nr«fArPir»oi> a.nd makes 810 more revolutions than the hind wheel in going 4| miles. Find the cir- cumference of the hind wheel. ajfTyynn h^J^^J'f^'^ A and « .!r°''f wiioh « * *'ae can Ti '*"• f*9t«* ^.^2 a work in *^^«ct of 9i 'f«oioney Od. Jf same xiAHINATION Pi.PBBS IN ABITHMETIO. 79 EXERCISE VII. 1. Divide $52.20 among 7 men, 9 women, and IS boys, so that each woman may receive 4 of eacK man's share, and each boy J of each woman's share. What does each boy receive ? 2. The cost of carpeting a room 20 feet long, by 18 feet wide, with carpet worth $1.26 per yard is $60.48 ; what is the width of the carpe* ? 3. C can do a piece of work in 36 days, B in 20 days, and A, B, and C, in 10 days. In what time can A alone do the work ? 4. A grain buyer purchased 11964 pounds of barley at 64 cents per bushel, and sold it at $1.50 per cental. Find his gain. 5. Find the value of 8ial§ H 01 tV 6. A can do a piece of work in 9 J days of 8 houti* each, A and B together can do the work in 6 J days «€ 9 hours each. In how many days of 9 J hours each c&D B alone do the work ? 7. A certain sum of money was left to be divided among 27 poor people; 6^er a tax of 4d in the £ had been paid, eftch person received £3 3^. lid. What was ti'e sum ? 8. A iiei«i k ^^ of a league longhand /^ of a mile jfide ; how njtny square feet are there in the field ? 9. A fftrroer had 38 cwt. qra. of pork kept 4 awt. 3 qrs. 11 lbs. for his own use and sold the remainder in barrels, each containiag 1 cwt. 3 qra. 23 lbs. Row many barrels of pork did he si*!! ? ^f f ( *° that 'he sum w;?,'""'"'' "■"«' 427^ h» • - "■n ^'Jl exactly contain ^gj''?" ""''«««<' cost t--^ "•*" ««''' a fa?mV*f !''^Med ? * '' "'e ^2f • 3231, aaw 4cK ""mber that wili d' •. - poi! i? s' "'^"^ - wt* sr r« '-. «9uare feet'? * ''^ •» ounce be Jw'' ' ^''r oenU 7o.* Jess than i ^» ^! "^"e Jength of , k. • i "'' ^aiT?^!^ ^alk aerl, ;,"^JL, !' >fce. a ~ - ~«TO per hour ? " ' " ""'^ '» '"s rate '^^iO rods wide. -'Wide arouS' '^0 yard ? ■ *n B, #80 'a« i -^i tJje '^ i of the ^« the cost ^^^ divide er 68, 71) od« iong, i*r cents every o g:e is 55 takes a ij's rate EXAMINATION PAPERS IN ARITHMETIC. 81 7. What part of a furlong rfepresents the same* diatwxce as \\ of an inch ? ^ •' S. What must be the height of a room 28 feet long, and 24 feet wide that the area of the walls may be 109 J square yards ? ^ 9. Find the value of XtZf 10. The cost of an equal number of bushels o^ oats, l)arley, and wheat is $229.96. The oats cost 38i eta. per bushel, the barley 73f cts., and the wheat |1.27|. How many tons of grain are there ? 11. What must be given per yard for carpet 2 feet 8 inclies wide that the carpetincf of a room 21 feet long by 10 feet wide, may cost $53.76 ? ^ 12. What is the least number that must be added to 760139 so that the sum will exactly con- tain 91, 156, ahd 208 ? EXERCISE IX. * 1. A merchant mixes 45 gallous of wine at $2.25 per gallon with 18 gallons at $3.60 per gallon. How many gallons of water must he add to the mixture, so as to gain $17.07 l»y selling ' it at $2.18 per gallon? 2. A certain sum of money is divided among 4 pei-sons ; the first receives jV of t/he whole, the the second f of the remainder, and the third four more than the fourth. How much money did each receive ? ^^^H flff f j ■ ^ ^^^^^1 ^BbL' ^ffi W'i IPl i 1 HHISV iv If ^ kI . ''^'/J^ulT^J'^°<^eTl\^^^ and '«• Find ffc "'""' *«et of w^^/J"^*- ^ew there L ff Z^ 99» ^et B^"" ^ «"W ""-fl-ldat Vf^^W.Md what ^J^^^y^ ofwoV^''r«tori7Kr'^? '^^ «>« value of 20 k?* i" 21 day. ,•„ il ^ys can do ^ * "e iron per ton } '*® «»"'. what EXAMINATION PAPERS IN ABITHMETIC, 83 '^.? ^ «609, and ton. Pe*" hmhel cwfc. l^^S teet long ^'•Pefc urorfch ' «- field 48 ® ^ miJes « f*»7 acres ^« value of ,^^ a piece men and » the quo, ' ?^> ^iv. »r? ifference t crown. *ieoinial Resold ^' what EXERCISE X. 1. Divide $1230 between A and B so that •6876 of A's money will be equal to -69376 of B*s money. 2. On a railway 18 miles, 1336J feet long, there are 660 telegraph posts, including those at the two ends of the road. What is the average distance between the posts. Answer in rods. 3. Fourteen-nineteenths of a certain number is equal to the sum of the quotient, product, difference and sum of 16 J and 3f ; what is the number ? 4. To what depth will 660 cords of gravel cover a road 3 miles Jong and 8 feet wide ? 6. Nine turkeys and 4 hens are worth $8.40, and 7 turkeys and 9 hens are worth $8.30. Find the value of 2 turkeys and 8 hens. 6. By selling tea at 81 cents per pound, a merchant gains J of the cost, at what price per pound must he sell it to gain ^, of the cost ? 7. A can do 14 times a piece of work in 4 days B can do the work in 4 days, and C in W of a day! In what time can they together do the work ? r JA^' ^ ^"^^ ^^^ JB^^ long, running at the rate of 40 miles an hour, overtakes a man walking along the line, and passes him in 9 seconds. How many miles per hour was the man walking ? 9. A and B run a mile race ; A runs 44 yards while B runs 43. How many yards' start must A give B. so thafc/hftt m r^ ^*>^in fK^ ^sii^ i^-» ta —s- ** '- I- t :,>^ "• '^''»' frwtion of 51 of .; 7 „. 2 , "^ ^vheat is 3f oz of th„ „ "%"f 3 quarts 1- Find tU ",jfff ^^*^^SE Xr. train start, flf5T°"'"-*nd at thesan?» ^ °'*°" *»n '1^0, and sells bu.shel. What 2 of 3 quarts ^ confains 4 gravel Waik square y rc{^ tween oz., the cost; B what they goods ? ^d another ne number. ^ ^1^ tons, JJi pounds. "<^on, and 3 VVindsor ndon and te another f goes 24 ' west of eet wide S54.38?. EXAMINATION PAPERS IN ARITHMETIC. 85 t 7. Reduce 8i miles -17J rods tb lli'^ fraction of RCV furlongs + 4i yards. , r •* i 8. A man has $266, and spends a part of it ; he afterwards receives 4 times -«=' mt oh money as ho spent, and then had f 463. I . nauch money did he spend ? . ' 1 /. e 9. Reduce i\ of 19s. 8d. a the decimal of A ot £2 16s. 4id. Give answer to four decimal places. 10. An equal number of guineas, pounds,crowns, flor.js, sovereicrns, half-crowns, half-guineas, shil- lings, half-sovereigns and fourpences make u}) £272 7s. 8d. Find the number of each. 11. Find the value of the wheat on 16 acres, 3 roods, 24 perches, at £4 19s. 8d. per acre. 12. A grocer mixes 18 lbs. of tea, at 23. 8d. per pound, with 14 lbs., at 3s. 9d. per pouild. At what pi ice per pound must he sell the mixture, so as to gain IVsd. on each pound? ^ .1 EXERCISE XXL > t. What is the smallent number that must be taken Irom 471659326, so that the remainder will exactly contain 51, <^ >, 119 and 221 ? 2. If f of tV ot an estate be worth $2430, find the value of ^ of the remainder of ihe estate. 3. A farmer raised in 4 years 3320 bushels of wheat, raising each successive year 180 bushels more 5than the year before ; how many bushels did he raise the first year ? * 4. Twenty- seven times the product of four num- bers is 9 J ; the first number is '\h the second is^ 1 1 less than the first, and the third is i | greater than the second, What is the fourth number ? MICROCOPY RESOLUTION TEST CHART (ANSI ond ISO TEST CHART No. 2) t^iM B2,5 IIP 13.2 1^ 4.0 12.0 1.8 1.6 ^ APPLIED irvMGE Inc 1653 East Main Street Rochester, New York 14609 USA (716) 482 - OJOO - Phone (716) 288 -5989 -Fax 86 9 ^S iouw ? "^J' cords can S. ™' ^ «ords '•nd tio?^^' »««« be fi. . •>^' '^i't sua 5i»"^tfer' 'pole 48 feet h- l "Jo'itJef^ BXAMlNAtlON 1»A1»E»S IH AMTHMETrC. 87 2. Find a fraction equal to J|, whose numerator 18 |. 3. If one steamer sail 2400 miles in 16 days how far will another sail in 9 days, if she can sail 6 miles while the former one sails 5 miles ? 4. How long would it take a man to walk 7 times around j. field 64 rods long, containing 124 acres, if he walk at the rate of 3 J miles per hour ? d^?; f^ ^^^^ P"^® ^^^^ ^ ^^^^ gooos which cost me »11.20, so that after throwing off i of the marked price, I may gain | of the cost price ? *!, I' P^"^}^? ^^^ ^°^ ^^^^^ P*'**®' so that 4 times thA torst will be equal to 7 times the second, and also equal to 9 times the third. 7. A man agreed to work for 8 shillings a day and to forfeit 3s. 4d. for every day he was idle : at the end of 84 days he received £26 16s. How many days did he work ? "^ ' 1 o^j ^ ™*°' ^^ ^^^®' *^^ ^^® children earn $56.08 m 12 days; the man earns IJ times as much as his wife, and the wife li times as much as each child. How much does each earn per day ? 9. Paid $1.86i for 26f square yards of land : now much was that per acre ? 10. Divide $875 among A, B and C, so that B may receive $60 more than | of A's share, and C $90 more than i of B'a share. 11. In walking 1 mile, 5 furlongs, 12 rods, 4 yards 2 feet, A took 3768 steps, and B took 3942 ,'/"■/" ";^=«a.iiig « uiuea, 1 lUiioiig, iu rocts, 4 yards, ste '^'°'? difference in the length of their 11 «« ^^'^MI'^ATm PAPERS r„ 12. Find, ^ '"'^^"^ '^ ^"n-HMmc. 16 yds. of silk at l& i , * *«'"? worth 2U oILT- " yds. of blaoir K , . ■'• Por yard ^ °'*' • f« ^1- of Kt 3?!^"*'' »' « l': «U. per vd 26 yds. of musHn at Is • ^I^ P"""''- ^ - , *^- P«'' yd. ,f;,f„ , » ''tU ; Ijiif ^EKCI8E xiy. On ^""^ "»'=e fractions »l^^^" P'"°fit of «i '0 ? 7 oi- ,.» o ''• SimpJify 4_ J 4-^J 8- «-« i 'J-^^^-'^'-' ITHAfETlC. allowing hill in imh2^ cents: • ^'J. per yd. ^^^•> 2 Jba, is cks. ^ ' I leet broad ^nd the' , nrssha]Jbe ' shaJJ be EXAMINATION^ ^AP^RS IN ARITHMETIC. 89 8. A faa-mer sold 58 btishels of barley and 87 bnsheis of oats for $84? 68, receiving 26 cents a bushel more for the barley than for the oats ; what was the price of each per bushel ?* -' « • :? Sold goocls for $5.6d, and gained 4 of the cost piice. What part of the cost price, and also what part of the selling price would bo f J\ia0d by selling them for $6.37 ? ':^':^^0' ml m. 10. A boy engages with a farmer ^or $108 a year and a watch, but leaving at the end of months, receives $75 and the watch. What was the watch worth? 11. After 78 times the suro of 64< equal num* bers has been divided by |f , the result is 2330496. Find one of the numbers. 12. What will it cost to fence a road (both sides) 2 miles, 240 rods long, at the mte of 89 = cents for 11 yards ? Give the answer in £ s. d., the shilling being worth 24J cents. EXERCISE XV. 1 . Divide $1952 among three persons, so that the share of the first to that of the second shall be as 11 to 15; and the share of the second to that of the third as 3 to 7. 2. The cost of carpeting a room 19ft. 6in. long^ and 16ft. Sin. wide, with carpet 2ft. 2in. wide, is $72.15. What was the cOvSt of the carpet per yard ? 3. Find the smallest sum of money with which T 1 __^__ _i. (»ri7a £sji'-l» — -s^~ -A <*4."« 1 ^.js-'l- sheep at $10f each, or hogs at $8^ each, and how many of each kind, respectively, I C(>uld piirchaso with that sum. :t „. 4- When «,ij„ ^KwawErrc. ^'■a* wiU be *i*"* *'e worth «1« .rr «?d 768 feet Sde"°^* "if '«''^4a 2w^' *''<''««nd 6in. W 5ft J^'°f (i cords of wn^- "««d ? 6. Prom ft • '"«''. and 2lr jJ^?*' " a piie I2ft the prodn!:* lP'->^ *^« differB^- 1°^* *nd 37-21 * i product by -0025. "'*'^«»«e ^7 5-09 ^I%^« .•_„, '• ,^ pond of si ° '''"'de «\are is worth ^s'*'" **e elder ^''^een his two ^hole«i„,f «4800; What ^^ t?e*'r"''8«'«o^s »^ ^- Wine howes », *'"" »' 'he »-d »/^ -^-^Z » ^« oxen, «„d , . t' ^y 'o.sX'^'-' ««mC^f tr^^^i? r*^- After 39 ».„« , ^"' can be f,oeuaed? w a pile I2it, S^ 35^-23, take '^' «^ci divide ^.^i^i ice 8 J« i? tons, ^« iis two ^»e of the »d U oxen ' ^^ sheen ^^» oxen, '«, can be ^^ from 'is 423; round a ^^ acres MAlltNAtlOK PAfEto m AMTHMETIC. 91 EXERCISE XVI. i» Ji^ ^"^^^ ^^^1.^^ '^""f 20 men, 24 women and 18 children, m such a way tlat a man and a woman baU together receive as much as 6 children, and all le children shall together receive $448 : find the Ir^oT received by each man, woman and child, re- Ipectively. J W ■> 2. )it * nf f L ^ ^^- ^? * ?* ? P/®^® ^^ ^^^J^ ia 16 hours, B of the remainder in 18 hours, and C can finish it in o. wn w ;'° ^"^ '"'^'^y ^^"^« ^ t% together 10 a work 4 times as great ? * . 3. The fore wheel of a waggon is 9ft 2in in hai the hind wheel in going 7 miles. How manv 4. Expr^ 9 guineas, 12 shillings, 7* pence as the fraction of eleven times f 3 12s. C+d. 6. Find the simple interest on $1260 for *1 rears at 7 per cent, per annum. * l.„j /^' ;^ ™" °f """"^y ''^s divided among A B Zt^'i ^"TT^ A of the sum, B received ^ m'ore l*^f*At ^ ** """ '^'' ' **■« '^""nder, which was ["onVdivS' "" ^'"*'" *° ^- ^""^ *" -•" o* I J ?«^-.* '*°°® which is 16 feet lomr 6 feat wMn and sa 6in. thick, weighs U300 p^s! ^t iiU one of the same kind weigh that is 18ft. W 7ft 6m. wide, and 6a 3in. thick. Oi™ ."H- "^ll"* ' «n J n .■*•**,*"" C can do a work in 3A days A B XXwo^k?"'' °^^ '^y' """'"^ «^ ^y ^^- / •' rJS% ^2 EXAMINATION PAPERS tv . PAPERS IN ARITHMETIC. _ n. At the rate of 4^3 t , .^® ^°«t? Hi. EXERCISE XVII W/ .VoriVStt -d , of ehe e.e Of the and sold it for «96C0 ww'fP'/:*' l^centsfquire my gain ? ' "•''" ' ^^at fraction of the cost w^' 3. The sum of £19 7a « i • ,. WUtti" '^ P-Sa 'of 'L'Tl'f, '"»<'"? 4 WDat IS the share ofeach ? *' ^^' ^i- «nd fj. ?! years ai 6 per eenf ,1 ^®^^n sum of monev fo, IS the sum ? ^ ''''^- P^^' ^^uin is $302.4oTwhat .nsf. L?^f f^^^?^ o^janges at SOc a ^-..« . ... - — a***at;u. bind *K« >- • "^ IT ^A »"«« should have b^tiV..P"««.«' v.hich been sold to each garni of their cost, ITHMETIC. A 12 feet wide, usfc be taken for >390, losing 10 should he have Jecost? '^ -£30 5s., how T ^86 4s. 5 Jd. ? '6 cost of the arriage ; how carriage ? cents aquire, the cost was ed among 4 If, and 1^. fc around a ^s ; find the 1' thousand. Money for 2.40 ; what iV 01 their ^hich each ■ their cost, EXAMFNATrON PAPERS IN ARITHMETIC. 93 7. The cost of papering a room whose height is Dffc. Oin. and length IJ times its width with paper 8l> inches wide costing 16 cents per yard is $24.32 ; fill I the cost of carpeting the floor with carpet 27 iti3 he3 wide at 90 cents per yard. 8. At an entrance examination there were 9 candidates at the age of 11, 14 at the age of 12, 17 ab the age of 14, 21 at the age of 16, and seven at the age of 17. Find the average age of the candidates. 9. A sold a farm to B, gaining 5 per cent; B sold it to C for $5600, gaining IH per cent. What did the farm cost A ? 10. A can do a piece of work in 9 hrs., B in 8 hrs., an C in 6 hrs. They all work together for J of an hour, when A leaves ; how long will it take B and C to finish the work ? 11. Eeduce 2147693 sq. inches to ac, roods, &;c. 12. Find the value of 8i-H 9i+§ X Mi* of £7 12s. 9ci. EXERCISE XVIII. 1 If 7 men receive $47.88 for 4J days' work, how many men may be hired for 8 J days for 163.02 ? 2. A garden is 10 1 rods long and 95 rods wide. At 48f cents per cubic yard what will it cost to dig ... _ - .... - . _ . a ditch around it that shall be 4 feet wide and /■ l«^jr»r *>-v l^j^ ^-^«-k «>V\i^ t wctm ^t^% t K^Ki \J1^ VX*^ s/Li wOlv*^/* 3. A person after paying an income tax of 3d. in the pound, and another of ^ per cent, on his incom e, has left ;£1961. Find his income. I -"^ 3/po^'.f« Sei'*„;^ *-' Of Which he /r of the cost prico w x? P®*" P^und, and ":" Ai *i.J^ j^** ^" order thaf ^K«« ^ ^^o runs 6 at the e^d of 4 miJes ? ^''^ "'"^ '^'^y be together f «d 5 meH^'s*^ ^ boys earn $28 80 in ^ ^ h„„ '• ^'^«1^62i pay for i'^oi "yy* earn J^W 85 ? perform ti« „.^* >"' «>"8t beyZit.^"^- ur *'•' '«-'« jo„«e^ in er%sof°s« ^ does ^ nf • he then gete B Mp'hfn^f .JT"'^ « 12 day, • m 15 daya In how l^^kT '^7 ^"^^ the work Work by himaelf ? "^^ '^y* <»«ld B do the^SX EXAMINATION PAPERS IN ARITHMETIC. tc. ^hich he ^ gains tee so as '6 price » runs 5 runs 6 »gether y days, ^ys ; in )6.85 ? wood. 8 per each. let to hrs ays ; ^ork hole car. rter tnd ae- »ns ice t 12. A merchant bought 148 yards of cloth at the rate of 17 yards for $20.40, and sold it at the ratre of 49 >ards for S76.95. Find his gain per cent. EXERCISE XIX. 1. How often does 4 times the sum of 24 f and 19| contain three times their difference ? 2. The numerator of a certain fraction is two- sevenths as much again as its denominator, and the sum of it3 numerator and denominator is 448. What is the fraction ? 3. What fraction of | of £9 68. 8d. is ^ of £2 168. 4d.? 4. A horse and carriage together cost $221^, the horse and harness $156^^, the carnages and har- nes $1 28 VA- Eind the cost of each. 5. Divide $3784among A, B, C,and D so that C^, may get $40 less than twice as much as D, B $90 more than one-half as much as C and D together,and A $140 more than one-third as much as the other three together. Find the share of each. 6. The product of f^nr consecutive numbers is 6527200. What are tk numbers. 7. If a cubic foot of water weighs 1000 ounces how many tons are there in an iceberg 480 feet long 99 feet broad and 48 feet high. (Water expands one-tenth in freezing.) 8. The sum of three numbers is 59|f | ; and 15 times the first, 16 times the second, and 18 times the third give equal products. Find the numbers. 9. How many times must 6 tons 3cwt. 2qi's. lOlbs. i4oz. be added to itself to produce 228 ton» 16cwt. 3qns. lOlbs. 96drs.? \T^ 90 .EXAMINATION J'AJ'EBS 4^ ABITHMETIO. so''i»!-*4'"»f 'tH?' ground, iach coutainin.r 24 ri . ^ '■ ^.P'^^s of work cau be done in 57 davs bv 4 men; after working at it for 1!) day. 16 oft e ncn leave the work. % how many days could t e romaimng men fiiiish the work ? of T' mit^.*'"*.*'' '••'^^ '°°g. "mning at the rate ot .(- miles an hour, takes 30 seconds to orosa a '"■id-e; find the length of the brid™ ^^f , EXERCISE XX. r coneo at Is. 3Jd. per pound is £5 lOs. Old. Find tlio number of pounds of each ^ the work ?' '" ""^ ^ '""" ""'^ ^ ''»y« fi-^i* wide^'anyi wlf lr."'"''-V^"' '''°&' 3 inches^ wiae, and j inches thick weiffh 576 nrnmrla »..>«, much will 24 bars weigh, each being 6 ?eet 6 ^ long, 4 mches wide, au3 three ihches thick ? h„r" °*yio' "f hrs. each ; m now many days of 1 1 Ws each could 6 masons build a wall 3} ILl as lon'T if if f • / '^T .'' ^^^ ^^^« ^^'^g a"^J 180 rods wide • :f.!^...lV^\^^l^^ ^"to square fields of the lar^e J lo' i ur.uuie, now iiiany fibids wiJl there be and" hnw m^ny square yards wil there be in e^ch fieW ? ^''' l ■■■f EXAMINATION PAPEKS IN ABITHMETIC, 97 has sieoo^r^Tu M''"e '» *'»«°«« finds that he nas 14200, and that he owes 86720. How mi.^h .houia aperson receive whose claim is fUOOl yea™; at sfjer cet'j'"^''' '"'"''*' "" *'^«" ^"^ 3? 8. Find the value of -5- of 9i + 2J i-i 1 1 of Sol 10. week andean r^^^ '"^'""'^ ^^^^ ^13 Si'in a weeK, and men and 7 women earn £15 Uo q^ ;* the same time, in how many weeks will 7 men and « ' women earn £199 18s. 6d. ? hi«K ^^' ^1 ^i'' il^ ^eet'long, 7 feet wide and 6A feet encei^a^^h*^^^ the difference of the two quotients. '^"^ ^""^ ».„„ ^ "^^ "»°^ 240 acres of grass in 8 dav. 1 T ,. ^EXERCISE XXI. bushil and hf **L''"'''"''' *»' '^rf"?'** «8 cents per ^"t per bt&^''H„w ''^"'^ ^''«'^' v°f ""*« "^2 2 A ^TJ « "^ '^"'''' "'°°«y had I left ? evervd:!;."^ ,!^'lL?iy."'»» *?- "^ H cents on «8 EXAklNATi^N PAPERS m ARITHMETIC *„ *i.^"/ ??" """1 »''«>' «»'■«?• the work i' th^ITTA^Zr-^ To"*^ ^"' ^«^«<=«i»« for 28 cneata each contammg 63 pounds ? 1437 2338"2fi()^*'!iT!^f« "J"'"?*'" *»' ^» divide ic sold Iiim for |(128 ? '"'" "^ ^-«>«iv5£ oaa « * per EXAMINATION PAPERS IN ABITHMETIC. ( i A' ' j 99 ^Jf-X-STfrArK-iji^Ss; EXERCISE XXII. J^^nder the quotient if'^b|ri^ts„': t^^?; 3. A bankrupt owes £24f)n 7 9a tia j W.M he bave^^ioltaTS-ZotetrCS * per. Jiind the valua of fK« fi*»«, ,•i^ i ^ '7 v^ **^e8, $45 an acre ana f lH • j *^-? if i of it be worth • A and B receivoa finia^ £~^^t. i_^ the m.'^cj- be diviicd ? ^ '^^^'^^^ 100 BXAMIKATION PAPEB8 IK ARITHMETIC. »V of in hourV' ^ * "'**''' + I of a day + a fleM J ot. mftSi'^y ^« *? -"^k around takes 12 steps of 2 felt ?T„1°'^* T' « ''•''«'*' he of a minute ? ^ "'"''^ ^a*'*' « one-fourth 12. Simplify— 2iof «+2« ** *°^ * ""^^* 141X11 EXERCISE XXIII cost How nS'^fifdil^^^ daysjn'l*w'''^;'4rwiirf H*""" °* '^^^ »» eat 16 tons of hay ? ^ ' ^ '"'"'«« and 9 cows B J of the'S in^r dts* "'fc^f^^ « ' *»^ the remainderh J ZZt ?" *''^'» ^" *° C With Ho.m„ch.„„r;tr*Ji,X«^,I-r «,»«. y.^ number of yS 1^*«J^* '"' »?«« ^r a certain the number^rfyeljjg.^* P*' «"«^ « «247.00. Find t»in L '^J't^.f T'*^**"'' « ft«* lon^. con- feet widt'wd TfttlfJ?" '?«* : the fi™t ir2J feet thick • what !« ^k! ^!u' '?'*. ""« »e»««d » 1* taken from igS 17s 4^*^'' cents, what mnst be .hilling be4TS ^g'J^<^^« » of H left, the « piece of IK M S\*^^ "* ''^ "^^'^ «« do «dKrJ-„/-«>-«^the..,ofl7,^ are worth 12 cows'llS'? 7"^ '^ "" ^' -"^ ? O"" and 11 sheep ^7worth4«r'»r'T'*^» *«'P. EXERCISE XXiv, . 1' Reduce 2016000 era- v^ T^w * Avoirdupois. gra ,.<», iroj, ^ pounds, 102 EXAMINATION PAPBKS IN ABITHMmc. '*^%"^*'^'°^*''«' -°- aft- Jr how «any a Pie^ o1 w^irti'f ^" \°"" * ^y «"» perform four i:t'c^''^ra^?r ' '"^ •=' -'^ the lengtli of the remainder. '^'^ S^ S'^e?"""""' ^ ^'^^^ left What waSMt libr^ iSTt^^ •" equivalent faction, having e«««y divlL^Me^SH '* "« ^"«™-«<» 'o -k. it 10. Sirai>lify \ ^ n«o i,^^"^ ?"*? ^^^ ^^® 1«^ ^r $624 each • on tht nfw ^ rfl^ * ^" ceat of the cosfc!^nd Z he other he Tost 4 per cent, of the cost. F i ' his ^in or loss on the sale of the f ^ u^ '^'^ ^^'^ EXAMINATION PAPERS IN ARITHMETIC, 103 bv ^u\l^T '' V**"^]^'" which, when multiplied by .31, and the product diminished by 600, and" the 280 and'.^''''^'^ ^^ ?*' "^ ^^ ^««"i^ increased by f fluent S?L" f^'^I^^K^*^ ^^^ * otm fl a quotient. V^hct is /^ of the number ? EXERCISE XXV. bni- i^f J^® expense of carpeting a room is $24, but if It were six fe6t wider it would cost rTa what IS the width of the room ? '^ * 2. Eind a fraction equal toJ^|whose numerator is 33| greater thau its denominator. ^o±Ki' ^j™*^ sold a farm for $6634i* eain no- farm! "''' ^ '' '^' ''''■ ^^** ^^ the cosfof thf ^.ir. ^A ?T ^*^°^ *®* *^ ^^ «e°*8 per pound a grocer gamed 9^ per cent on his outlay • at wbat^ri^ sr "''* '' "" '' '^^^ ''^'' ^'*^^^ 6. If anumbei-be increased br « of itself And , 6f Simplify— ^ ^. A wagon-makor nianufactured in 4 veais 456 ^:S^^ ftc_h s^cce^ive yea, 16*«^r£ fitctSre th7&;iy;r? '^"' ""*"'" "'"-^f^^ p"">- ^04 EXAMINATION PAPRRs rw ., i ., i-APBRS IN AKITHMETIC of i Ll^lf,^'^?-^^^^^^ field ,, »ame number o?„,i&^^^«;'"'''°d 17 time, the smallest : «, j, |,7° , , » ^'''^'"" °' ^^^ ''^o -d '^li ?l^tfi\7on»Wrs is 2.9529^^^^ what is the other anmhetf '"'*" ^ ■*^2 1 »>edivfded^to^*e*^"f^;SeSr "«• ^'i^- EXERCISE xxvr. of the distance, if 7 steoslf 4 ' ^^^ "» '"'^'''ng H , 3- If 8 yards of sHtl'tf''"'^".'^ *»««'»'•? tweed together costal ig tdL""^- *^ y"^« «' of each article. ' "^ the pnce per yard d. vnv-± ... '• ""'"'*'''"«P"»efa«=tors of 33090330 .P- EXAMINATION PAPEUS IN IrithmETIC. 105 M.«;^dSL'''l^i'i«« '"^ ^-^^ ^' lo- tion of a pouB^' '^™* *• •""^«'- « the frac- horse cost £28, each w)w £9 A, ft^ ^ "^ ' ,®*^^ site ■; fouTo?*^^:,!^^ "^'^ 21 to„74cU, themtomar^C21jS^ '""« wiU it>t«ke days can 16 men do the wirk^^fj.' , *"/^y men be equal tp that of 5 %»? * ° "^ costing U%n rtr ^ii -"^".-ff f '^«' **** eaT>e* wjdtbVthei,P:t?^ ' '" *''•"»' ''hati« Ae ^^*^faSLr'"'""''^"'"'*^ii'^«^« A «- EXERCISE XXVU. pnce per pound ' ' * ' ^^^ *^® cos.fc 106 «^.KAIO.V P^KBS « .KITHMma- each; on the oni Sere J^T"*"- "'/^^^ ^«' «26» and an the other the« Z a^" °* ^ °^ *■"» «««*. Find the gain or 1«8 „„Tk! i'"*", "* * »<■ "^e cost. «.a^d another Z.t7r£P^l'' ^?' '»' ^8. What is the number? ^ ^ *''""'' » 29736. ofh|i^totS"X.''^U»^'»«>l»l'«- *- 6 j\ m^,u«k "^0 ''''^* cost 3^39.491. of oaL^S"^ ^Wf »l«> - the purchase ''Ml he ^ by ^i^ I?^ {f ^5^ ^^ds ; how much 96.74^:?^ ^ **""« " "'the rate of 2S yards for 7.1 Simplify ■ 8. What weiriit of .,„M • • ^'^^"^^Hd. MSOo'soft ye2S"at «i ^'""'J'. ''"' "mount to , 11. ThehSoftt'^"*,^'''"'""""^ of painting the two b}^hT^ ^Hy^B ; the cost squaw, foot is llOSeo a^'^u*''''' »', 2* cenU per four walls is $263 44 s^j*^ ^* "f Pawting the of the »oom. **• '^"'d the length and breadth EXAMINATION PAPERS IN ARITHMETIC. 107 in ^^' ^l"** ^^1 difference between U miles and ""*^' 2it., 3in. .. -r,>;^ :, r • :(>' Ji EXERCISE XXVIII. hnf thA f '!• ''** ** ?•'*' *^« «**rt »' » detective, but the detective goes 9 miles while the thief eoes 7J miles ; how far wiU the detective have t^avelkd before he overtakes the thief? uaveuea 9» r7^'?'^fil?L*7n'*?£ '''^ **« '""owing: 45, Z»- 17, 13-67, 8Ss, 39 -47, 0-19 31 mavL?;'*?!-^**" """"K ^ B '""d C, so that A A?nd rather " •""•* •" ^' ""-^ « - "-•> - 99per., SJyds., 26^ft., the hiid ^"bifag'^* lift. 3,n. in circumference, and the fore wheSs 8^ 7^^>-^ti^:^,'i ti.es as .«^iB^^,S ^ eoualVi*'^^??,* 'fiTVv^'* t* o^ ''^ wmber k l?8tt!tsW' "'^**''^"* '' BV sheep at r. If 8 men mow 48 acres in 3 days of 9 houre each in how many days working 13* hou« a day will 9 men mo*- 108 acres? 2"oursaaay B*Jr?^^ fl"^ of money are divided among A l^S^L^^J^'L'l'^ «^'?"Z. a-d the second in '2e¥:"Fi;^ the sSivlllT'^^ *'"■*' ""» c '"1 . '^^""'-"ON PAP^ ,N ARITHMETIC the third arc all equrfi*d',u'!'=°°\'»'' no .JAMINATIOM PAPSBS ,J, AWTHMWia- pounds of te. . Jl 65 ^rdal/X b^j!' "'"^ 7. A book IS 3i inches tliiclc. EacS cover ,« i"» y-r'- 1"! ««• »Mu, of o,;SS " '" J. I tie product of 3 numbers is ^77i*q *i.^ ^ 4. jmd second are to each otW a, i t„ J!' Ind th« third number ia 4.91 !?:_ i .u 1 "' *t. ana the nnmbere . *' ^'"^ ^^^ ^'•«* ^n*! second IZ Find the amount of the foUowini? bill -- !» yardvf-, v,t .,'.*«>.« per yard. i^v at. at 5^1.^ > per yard. if"^, EXAMINATION PAPKKS IN ARlTUMKTin, 111 - -I. A , ^XKRCJISE XXXI. ! »^ . 19 ^. a" ? together can do a piece of work in 12 days ; A and C in 16 days ; B aJ^d C in 18 davT In wUtthne could C alone di thrwork 7 ^ per ,,ound Mith 65 pounds at 72 cents per pound • tn r«^n /-'''" P"' P^".H '""^^ ^« »«I1 tVe mixture to gam 2o per cent, of the cost ? wi^.^' ^ '^'^^''^^i'' « 61ft. 6in. long by 48ft. 4in wide ; how many tons of water must W drawn K to make the surface sink 8 inches. ' m 4. i^\*^ feet long, 74 feethu/h 7' •' V"""" ;"^' " wiick with bricks 9i inches Inmr tl.s ..p ono-ufteoi,li, l,o«- manjr bricks were needed ? "41 ,j|P*|y' 112 EXAMINATION PAPEBS IN ARITHMETIC. the rate ofS^^^^^^ ^^f , « l^e sells it a! gain ? ^ ^^'^ ^^•^'^' w^a* Per cent, will he 12. Simplify m n x.'.+VV of 47^ 58 1 WU* • ??^BCISE XXXII. to 8742im Jmli^t* """"^^ ''^'" «""«' •'« added and 1978 ? ^""^ " ^^^^ ""ntoin 805, 1311 day, i aid C in Tot I 5 P'^o^^ffork in ,V of*. A r4tr T 1.^ inr ot a day, and B ^d C in aA nf »daj. In what time could^each byH«^,f°K whole, and the tffiwice i m^l'! T°l' "' *« How n,any acres wereTth^ S . *''' °"^^"- *'^°- minutes. Rnd i^ va2 f^^' "T " ''"dge in f 6. Three pipTaTt'«-fo°^*'\°' '^« bridge. in 45, 50 an« <=°^* Pric« inches wide worth ^ cents a v«rf ' iT'*'' P'^P*'" ^ -4^if^w«tii-j-s-;- ^legL^intiUa^sf •'^"*- ^' «»380 amountto the dollar Find theTl^nt 7h^ Sf "-'^ » inch^-^df^T 'Teet t2 ?^1 ^^- «- ^et 4 99 bushels; how deen m n^L""*? *^««P' J'oWing which is to'be^ feet L^ an^ T A T^h .'»°*«^ ^ «> that it will conS4e!r„shebr ""'''" ^^«' for one h7 SU^t i''" 'TT ^<" »3780 each ; and for ibT^th^ is ^' '^f ^'^^ *'^'^n the cost Kndhisgj,„r,:'^26 per «^t. mo than the cost! 11. Divide SIS'TK -!^ . L"^^ ^^o lots, proportion oTj!fyL7X"« A- B. C and i) i„ the of Bo'y°l'd'i:it* °f>hn-s,and J^''"'^ ^ H •re their respe^ti>^'^es , ^"^ '«° '"•« ^^ ; whit •^f>^. •^■k EXAMINATION PAPERS IN ARITHMETIC. 116 EXERCISE XXXIV. 4167010 Vrl ^^"11 '«»«t co-amon multiple is o V,. "^** *■■« *e numbers ? 2. Eight men can do a piece of work in Is days; after they have done i o? the work 12 m«n come to their assistance. How many 5^ wSTt take all the men to finish the work ? ^ * ™»n ^R ^^^^ ^""^ .°^ *^^^ is i^er is 3 feet 8 incAeg lnr,« o 4^^x « inches ? one-half pmt contems 17* cubic •^1 116 EXAMINATION PAPERS IN ARITHMETIC. mill ^soSi^Sl W ti A^-;^? '»"«' I t^te to int. «1 9ft "t" S'®**'?'^ *32.1(> in 36 days bv earn ing !|fl.20 each day he workpH a\iA „ a^ ^" r^ r '^ ^^^ ^^ ^- ^'"^^ 'o' -n/Od h^e 9 of th^»^|rd::;s&^^^^^^^ ^^ee. ., remainder for $696, which was $264 TeL*«„„ J^ entire lot cost. How many did he buy ? , EXERCreH~XXXV toe A^nVB^^gi?^.^*o7i^*i°^"^;;'''''^' I^W do ,, ^ what^'fot^hV a ct-B^Sot 4 nt Tn^ °^" ^°*^ ^^"^^ ^a^« «900 between them • whatt'^hrerp ''' '-« *^- »°f"ote bought Sh^ Td Mt^ aS^i^ oF?6r ■ to d- he II a k i- 5 e u- EXAMINATION PAPEKS IN ARITHMETIC. 117 bushei -^ffertii-^^ *°' P'^*»*°«« ''t 75 cents per ^Ttt' ■ "^fta'DHig a part for my own use I sold the remamderat 20 percent, profit and cC-d must he return that the work miy ~ 2,' diS bushitft^Mfa7''"*^^^<^*^'>«^''''^<^ 49 T^noi,!! X. ? ^^^-y^ receiving 52 cents ner bushel more for the wheat thaa for the oate Fin^ the price of each per bushel. . " ^'""^ r^^de^Cx^^te'noLVSLStr^^^^^^^ K^idr^h'itSiu.*^^ ^*- p^- - 12. A person has $264; he spends a narf nf u and afterwards ^ets back m rli ?i^-^ ?^!^i^^ ^<^ much as hft Qna^V TT^ aI, '^ -•— - viiaii £j uimcaas «oneAd\rSnd?rfltrr'" ""''■' ""'^ --'' E ri i i, ANSWERS. EXEKCISE I. EXERCISE JI. (10) «475. (11) 1992i. (12) 160191.^^ ^^'*- ^^^ ^^^^226, EXERCISE III .^^Lil'''^'Pl^^^08. (2) ^,77.68. (3) 86686776576. 5) 6144 naila. (6) 2108421 letters. (7) $481440.' (4) fO. nn 105914970, (8) 187846;.62255ri9r2549167MT*''^im*H'^ <7) $- 6739535921. (12) 398412 daya!^^"*^ ' ^^^^ 776520240. EXERCISE IV. (1) 31o0658|4f . (2)489673. (3)685972. '4)268936785 (10)597. (11)47893. (12) 2051 753469^ |^. EXERCISE V. l?l JS- ^3) 612709066. (1) 18172506. 63258161. (6) 438. (10)1468. (11) 195. (4) 93. (6) (9) 2699101. /,x „o EXERCISE VI V ) 28. (2) 230 ; 22. (8) 76 daTs U) q^QKOcoo n^ o EXERCISE VII. (R^ li^ l^'l' ^^^ ^21 horses. (3) 748. fto^^in^ ?L^' (S) ^1600. (9) 64742. 142. (12) MDCOXCIV (4) . (6) 564 (9) 289. (10) ;260. (6) 2608. 3049501. (11) (1) 1043. EXERCISE VIII. (11) 66 oxen. (12) $815.81. (9) 99060958. (10) 170. /ix o«„.co EXERCISE IX. (1) S20.'>7. »i08b. (6) 246 70 oows. EXERCISE X (2) 17 ds-? "(7) 1042'' votes (11) 12842866|^-«. (8) 39«576. (12) 9 days. (4) t>953. (9) 165. (6) (10) ANSWERS. 119 (5) 52? (9) 676 (5) (10) 375 (10) EXERCISE Xr. hundred and ninety thouHtncl fLtkj ^^ ^}\ millions, nine EXERCISE XII. (1) 466 horaes. (2) 270. (S) «7nfi /j\ cq ^ bushels. (6) 1504 pi>und8 (7) |l897 87^ (81 T' pecks. (10) 477914. *^ll) $12^60. (llrle^S^^ EXERCISE XIII. 1159^7'2l).'''f6M^ '^888J^ ?i'**'«- (3)»181.33. ,4)83023 04 f5> (U) lW-,2rSf ■ ''' '^- '»' »*9«3L'ToM? 686. barrels iht^ 1*1 I ■'.'■^i l^i 120 ANSWERS. "^ m^R.- EXERCISE XXI. EXERCISE XXU •«««• (.0, 9.' !n/Sf ,ig'24^4'«^j. '" "'• '" EXERCISE XXIII centr^l^^^- (f|«- (3)547m'(4)121oad8. (5) 56 . ,,, EXERCISE XXIV ^^^ (1) 43373697. (2) 428^ /q^ «^/. (5) 21931384. (6) 83 7?? oo-i^^ ?f? *^'^«- (*) 28 men. «2688. (11) 6 tmes. IJi.^?^- J^-^ *37. (9)897. (10) (12) 133 C0W8. ' ' '^^*y-'»^ HionBtind and fifty-aeven. EXERCISE XXV 2309856. (W $48^ Tit 32^'L'ona"*t2) 7i5\.'' ^^"*^- ^^> /n«R*- EXERCISE 1. 87cinL.''(*n9: (^?3S2765?<1 '^^.^r- <*> ^^^47. (5) 39 times. (11) 69 cents (l|^^^^^^^^ <®^ ^- (») ^.32. (10) tUAo EXERCISE II. EXERCISE III. g) ^ a,.'\r76S .SI u"' 'Ar4,i?- <*> ««— • /I I EXERCISE IV. «/CfU, .risy^.s.'i?5:j;iiW«£! (9) ANSWERS. EXERCISE V. 121 busheli. ^sSb?^ y7?fi«*ir-.,<3,^ ««^2406 sheep. (4) 186 (&) 94. (iV s'Su ^' iff • ^) 14^5. ^,319. P(8) l2m 171458f||. ^ ' '^"' ^' ^80 J C, 170. (12) n\«io«^« EXERCISE VI. (5) 2'9'iif*fs, si' %fZiJ^ "^"r, '3) «908. ,4, ,2.. (10) 16y.rd,. (llM70.'''1?ir728l7U*- <••' ^ S^'™- /ii«A3, EXERCISE vn. («) A. »7.50 ; B. ^5.64. ,:o, 45 d J^U) '802?* .^Ttt EXERCISE VIIT ' "■ loTi. <7)7589. (8)»642.72. (9) l^V (iO) 7 Beld.. (U) A, $360 ; B, «360. (12) 39288070881. n,o,xj.3 EXERCISE IX. »504. (11) 24898 "(li)'/^.,!.*' ^' "• '»• <»t 1« days- dO) EXERCISE X. .,^ EXERCISE XI. 397;M). (11)101^. (12)3564. (9) "i acres. (10) EXERCISE XII. (1) 1800 barrels. (2) $56. (3) 8 (5) 12 cents. (6) 129. (7) f2.64. t576. (10)17. (11) f (12)702. (3) 8 minutes. (4) 26 days <8) A, A, H, if (9) Sj 122 ANSWERS. (11) 1181. '(12) 8973. !S t.^- - ."=• ^: vru^^i^, -.-- 3e (12) $4204.80 ANSWERS. 123 46 (6) (10) 45 day*. m 1^ K 1. , *^?JS1^CI8E XXIV. Wii. 't^,^S'^- m, iff (ij) 195. (U) m.eo. rnn^u EXERCISE m 56 boys. [2]^ or a day ^800. [5J V'sV, tVj [3J $1.98. [4] A 16000, B 6ItfV 0-- [6j 140 gallons. [7] is cents [9] 136 bushels of each. o9sV [8] 17745. [lOJ $118.80. [11J30H. [12] $8668 [IJ A$2000.BS180^^\?1?«?" $1800, C $2400. [2j Is. 2d fSl oq r., lays. TGI J!7l9sn ^ r-ri -r-T^' 'V-l.t*' W if. loj -^i 6 days. [6J $712 A 22 days. B 26» days im .7 1 V^ '^^' ^'^ ^^^ $76.40. ^ ^*' fl^J 1« ^««*- [11] 33^ years. C9J [12] rn A «i«nA !> ^JXERCISE III. rn A «innn « .,„. EXEBCISE V. ' * ^'• 66 fiii/[tK»s?- z^r^is "'4 '^?' ^"'' '^^ m 360. [6] _35 »x r71 «940Q VoiT, J- ^^*-' ^»»- [5] 1800 and rn Ao EXERCISE VI d«y». l'"J «31020 seconds. [11] «186 6«. 3d. £12] M ANSWEHS. 126 rn fii An r„, EXERCISE VII.' [•01 f .8 .... t.i, ^ ,'Si,, ir,.^tcl3,K,!'- f.^^^,""™"- rn 51 „.i. „ EYKRCISE IX. «S4 "i.'"4|*"4 ft i'l,'" f '^,- •">■• 2-1 *'7 6., 8d. Srd •074.16. m'mm m,»- [«""»"• W] »72.64J.' [6] rn A *««/. , EXERCISE X. y*-. t.01 u. tn, ;.;. *f.;;H4:^8. '^^ '* ■»■'- i«i « rn M.>i • EXE.iciaE XI. m 3824 graina. [2] «800. [.I] 4.. M] ITOJW. ih. „. fn..UBe«t of Chatham. [«] 28 Met. [71 » 3 ^'i ,™ [6] M.?. [.01 68of each. [,.1 £84 ... ijd.*'*!!!,. M ' rn i77ni ™, « EXERCISE XII. P80. *^ ' • f'"^ ^*H rod". [U] »226/i. [<2J EXERCISE XIII ■d i ['J «8.7. [21 [31 ,620 mile,. [4] ,hr. ,2„,to. [51 mo. C$266. [Uni^CiiafS^I' f'»iA»«K..B Ml ±.1, EXERCISE XIT. "' ■ " Wt««,^ IfW. [318,1b.. [4]3»«.... C5j «*f ^o . '^^*' ^^i' *"C f''^ M. [8j Barley 74 cents. ^%T^i ^^Sr8i:"-Ao»«>H»«P^ce. CO, 120 ANSWERS. EXERCISE XV. Liyj 973. [11] 14| acrea. [12] 120 hours. nil «.o EXERCISE XVI. lOm! r." ^ ' ''°°''^ ^^^' °^"^ ^i^- ra 644| hours. [31 [9]^ loi Li' n^^!«'' '^y«' ^ '' » ''»y»- tl2] rn iMK . EXERCISE XX. t"J #W. [12] «mon '"^ *^**'* '""^ ■■.«- L« EXERCISE XXI. W 137.28^. £21«960- ranA.«. ,^_. ..,, _ j 2:;c^ m-*80 acre.: m ^tcT^'^''^'" '^'^" ^• ^17* l^l?\S^r^^^^ m^rWiH^ZJ [1^ 31bs., 9oz., 9?dtt. 3s. lid., ehain 04. [ r 32 [7 [1 127 ANSWERS. EXERCISE XXII. ft i [9] £151 68. 4d riOl llUoo^ I'- ^^' f^J 37f minutes. [12]^^. ^^^ '"'°^*''- f"J EXERCISE XXIIl. [6] SMlfTV^m .^'^ ''''^^" f'^ ^'^^ ^*^«- [^J »? -ores. 15J •'^1410.70. [6] 5 years. [7] 1| feet. [8] $31.22^ i^ r91 IR days. [10J14J/,. [11] 13 horses. [12] A ^0, i^Hio. ^ ^^^^^^®E XXIV. [4] ly sr • [5?\l,t;' ?6^]%^3T'^fr^-- I ** • L*'J iignra. [t,j 73^ft, f^j $4000. [gj l^r. ^^^^^- f^^J^ff- M 12 loss. [12] 1360. EXERCISE XXV EXERCISE XXVI. EXEECISE XXVII. [8] 603ilbs/ m is S»tJ nm'S'Mi^''^- '^'^'- «»• ieet, br'eadth MUfc li^»'"^„tf]'»l »"»• tH] h,ug& 28 BXERCISE XXVm. 33088 times. [6]"'a 3^ dL B i/J•^^, ^f^^' ^ ^^- f^ [7] 4 days. [8] m ^ «Y^ q« rfe^,^* ^y*' f«J «i«^l- [11] li^V [12] if I * ^^- ^^^ ^' ^^' ^«<>' PO] 1470.40. 128 ANSWERS. /iv ,, . EXERCISE XXIX (I) II (2) 201ba. 9^V.oz. (3) U $1280. (6) I8| miles. (7) $4 48 ^10) *f. (U) 1224. (12) 19A bushels. EXERCISE XXX. yards. (4) 15j\ lbs. (5) (8) 76 cents. (9) 126 and 120. (1) «!286.17|. (2) $80.64. (3) |345 60. (4) 261b8. (5) 18 of each. (6) 32VheeD f7^ r 7 '*'"'";""• W-^oiDs. (5)18 (9) 27 and 33 (i7io feet^*/-"^r '"°^- ^^^ ^ ^««*' ^ inches. $120, 0$102. (12) |lia96|.^ '"°^''- ^"^ ^ $250, B$150. C EXERCISE XXXI (5) I2I1I! ^''•'' ^^^ ^^^ °^°*«- <3) 61|« tons. (4) S35 55 (10) 15552 bW a\)'l8?t-ceS.tirv;^^^'^^^^^ EXERCISE XXXII EXERCISE XXXin ^/800. [91 4 feet rim «ftn^ i-* •?/,', '■7J 7 per cent. • [81 $in6,B,k [12]^a^^^!rhl-66"^lbV^r' ^^^^'^ rnoQ. o^ o ^^^RCISE XXXIV. [1] 234, 390, 858, 1326 1482 r9i a a. woman $9, boy $6,668 m «S^ ?i. ,1*^*' ^^^ ^*° $ll-25. [7] $24. r8135JL. 1, ^^ ^- f^] 195 and 91. [6] IU^b' mso'a^^,^^ f9n28 bu^els, UOJiOlS ^ EXERCISE XXXV. <*»*». flO] 9rV per c^t^ nil li^^ ^^'** ^^ '^«'^*«' «**« ^5 J. n^ per cent. [11] 120 rods. [12] $108. «. f- ; -„1., i. i i J ' Us f Ik A ^ '•'iV If H. FRED. SHARP, 'LLLLll ilill; oil St. Marys, Out. 11 ,.»j yfvtj j?i^.o || . or Jii-JtiTiUs kept o,r.s,;a'.i'v .v^ i, . I f Mil ioj[iM' ro ma ^''C-BX^ISliMK OP' Moires %ijO^P{^ 3g 11^ jgjy J,j^ r.,mf oa the Grr:„d 'fWn'- ft-,;. ^ " -^.Hftko^.a, u. t. < - I;.. , .. w Slii. j^: 1%^*!^