IMAGE EVALUATION TEST TARGET (MT-3) h #' ^■9' * & ^ S 1.0 ;i<^ i^ 1.1 r-^iis |l-25 111.4 auhic Sciences CoiDoration 1.6 23 WEST MAIN STREET WEBSTER, N.V. H580 (716) 872-4503 T< '^ <^ mv ^Tj"^' '^t" ,V^4> ■^ ,v^7^" ^0 % CIHM ICMH Microfiche Collection de Series microfiches (Monographs) (monographies) Canadian Institute for Historical Microreproductiont / Institut Canadian de microreproductlons historiques Technical an«i Bibliographic Notes / Notes techniques et bibliographiques The Institute has attempted to obtain the best original copy available for filming. Features of this copy which may be bibliographically clique, which may alter any of the images in the reproduction, or which may significantly change the usual method of filming, are checked below. L'institut a microfilm^ le meilleur exemplaire qu'il lui a exi possible de se p'ocurer. Les d K" ':':;::; M ■t. J^aBafl* EXAMINATION ?mi ELEMENTA&^ fe^' RITHM' !■ ti^ ^ ^^ i giji WILLIAM W, f / / ^^M,:' <" f^ J I AF w ^RINTEH EXAMINATION PAPERS 7 ■IN- ELEMENTARY ARITHMETIC, BY WILLIAM WADDELL. 'RINTKD AT THE jjittatfota: BEACON STEAM PRINTING UFFIQE. 1883. t .' U333 [Enter [n the ye [bur, by riculti [Entered according to Act' of Parliament of Canada, In the year One Thousand Eight tiundred and Eighty- four, by William Waddell, in the office of the Minister of iculture.] U>33 This V leir vvri Iry Arith ieen ins< rohlems inged ii ie authc anient t [sail th( id then ion pap [Burns, PREFACE. This work is intended to aid teachers in conducting Iheir written examinations and class exercises inElement- [ry Arithmetic. A great many practical problems have \een inserted to test the pupil's proficiency in solving rohlems by independent methods. The papers are ar- inged in the order in which t' subject is treated in le authorized text books. To n. .e the book more con- jnient the answers have been placed after the questions. [sail the questions are original, it is hoped teachers may id them a useful addition to their own store of examin- ion papers. WILLIAM WADDKLL. [Burns, 1883. / pins, EXAMINATION PAPERS. Seo-^d €Iass— I. 1 Write in words the numbers expressed by the follow- ing figures ; 943; 28674; 800304. 2 Write in figures the following numbers: Twenty-three thousand four hundred and seventy-nine ; Nine hundred and eighty tnousand two hundred and six. 3 Write in Roman numerals, 79; 98 ; 397 ; 1882. ^f^J^'AK '" ^S"'^"' XLVII: LXXXVIJl'; XCVIi • AlDCCCLXXXn. 47, 88, 97, 1882,-Ans. ' 7,f ^'"^Jl^^ T' ""^ ^^^' ^^' 2^^' ^4' ^' •'^28, 49 and '^' ^^^ P'"«- How many pins have the four girls ? 2440 pms.~Ans 10 Henr>- received 386 dollars at one time, 984 dol- ELEMENTAKY ARITHMETIC. Jars at another time nnH nox a n How much^onoU'te-'alU^liTp ^\ --"" '■•-• Ans dollars. — * SecoiMl Vliiss-2. and Ho. fa. is Thomas fro!;; JS^.^, 'l^^tZ^^J^^ have the three ? $15764.-An'' """""•'"">' "^^M 6 A man's income is S61532 ce-ns a ip-,r n,,^ i • pensesare S3989r cents a veir H ^'""''"'"J '"« ^x- save in a year? 321G35cenS-A„". ""''' ''°" ''^ nlhe^siTom" Z'h"' '^, '"""'"; ™^ of *e — Ans '"''•'^'» . find the other number. 8832939,' th ' iS'^jfo'v m"n' J""" ^^ 3^" «"'^ >-l 1493 cents -Ans ^ "■"" '''"'"^ "'^ "™ l^o«.] Slfir^anTsot^thT J°37^'^«S'' ' T'^^'^ ^"i gain? $27.— Ans * •"°''' '""^^^ ^^'"^ ^ei and boudii 32 'nore tI'. " ^''''i 5''''-' ^^ °^ ^^^"^i cards.- -Ans i^any ])ad she then? 50 ! EXAMINATION PAPERS. 7 S^econd Class— 3. 1 Find the result of (4236+7389) — (31424-5244^-1- (138012-99435). 41816.-Ans. . I' S'^Find the sum of all the numbers between 4129 and 4140 both inclusive. 49614.— Ans. 3 The sum of three numbers is 416328 ; the firsf num- ber is 194736, the second is 95817 less than the first : find the third number. 122673.— Ans. 4 The remainder it 413684, the minuend is 591363 ; find the subtrahend. 177679.— Ans. 5 A man had $36421, he bought a farm for $11369, three horses for $516, fifteen head of cattle for $463. a wagon for $98, a reaper for $126. How much money had he left? $23849.— Ans. 6 What is the difference between 136+794— 586-f 429 + 732-949 and (369+2736)-(413-243+946) + (200131-91647)? I09917.-Ans. 7 A farmer raised 3986 bushels of wheat, 4328 bushels of oats, 976 bushels of barley, 1367 bushels of rye. How many bushels of grain did he raise ? 10657 bush.— Ans. 8 How much greater is'the sura of 98632 and 41637 than the difference between 136847 and 67398 ? 70820. — Ans. 9 How much greater than 4019+3128+3419 is 9846 +8413? 7693.— Ans. Second Class— 4. 1 Find the product of 9637 and 465. 4481205.— Ans. 2 Find the result of 436x735+198x36-3a4xl90. 254628 —Ans. 3 What will 986 copy-books cost at 9 cents each ? 8874 cents.— Ans. 8 ELEMENTARY ARI'l HAiJiiK; 4 Find the value of inA i 3 Ho . many days i„ 408 weeks? ;i486 dajs.-.A.s tin" 99^'48.5t^(f " ^^'T"^^""- ^9 and 83 Neconfl €lass-5. 1 I'ind th(> result of 9*^^r^f\i<^aii\ , n,^ Ads ' ■ '"'"='' <^"^ l"^ g'-'in ? «-'8526-- nnd^84"' 4«78"I<'-A„:' "' "'" '''"' *''^^-"- "^ '^^S 4 Hmv much greater than the product of SMi a 396 .s he product of 28396 and mO,U21mt^:^ b There nre 4840 square yards in 1 nrrf • l,„ «quai.;ards i. 789 acL? ^38187^0 ^qre'H^rS' a F,nd the r,u„,ber from which if 86 tin e, 894 ^J ence of 396 RXAMIXATION PAPERS. q 7 A merchant bought 4863 bushels of wheat at 97 cents a bush. I, and sold it at a gain of 78329 cents- how much did he get for the wheat? 550040 cents— Ans. 8 A man ualks 8 hours a dav at the rate of 4 miles an hour; how lar wdl he walk in 286 days? 9152 miles— Ans. 9 John is 18 years old, his brother Thomas is 12 years older, and the.rf^Uher's age is greater than the sum of he.r ages by 12 years; find the sum of all thefr ages. 108 years — Ai.^s. ^ Si'cond Class- 6. 1 Divide 846328 by 973. 869|AJ._Ans. oah^s^V'"''^' ^r^^ '' ^^^^ con'tained in 1132684? "^•^xmr times— Ans. 5 Divide the product of 864 and 397 by 498. 6881A-4 Ans. - 4 U 8 6 A farmer sold 657 bushels pf wheat for 103149 cents ; how much d.d he get for one bushel of his wheat? 107 cents — Ans. :.*9-Ans^^ sheep cost $8712, what will one sheep cost? 8 Edward has $9864, Thomas has half as much mo- ney as td«jrd and Allan has 7 tunes as much mo ev as .K^T 'T'^'TT •"«"''" ; ^'»' "•"<=h money hWe the three? |ii6.36« — Anc ^ ' 9 If 326 barrels of flour weigh much will one barrel weigh ? 196 63896 pounds, pounds — Ans. .how -^v 10 ELEMENTARY ARITHMETIC. 10 John has 86 cents Petpr hoc o .• Tohn WillJnm K. ' ^^^ ^ ^™es as many as liam torrether ■ hovv mn^ ^^an John, Peter and Wil- ms certslAns ^ ''"'' ^"^" ^^^ ^°"'- boys ? Second €lass-7. 2 A man l)o-.:ght 144 cows fnr '4'ii^fi u price per head ? .^24-Ans ^ ^ ^^ ""^^ ^^'^ pound, 1 pound of tea for 45 cents anri iq j . rarsins at 9 cents ^ i.nnnT i ""^'^' ,^"a 13 pounds of 7 If a man can do a piece of work in 99c j„ . long will i, take 6 „,en l do thVwork'? Ts'dt-AnT 8 A man earns 89 cents a Jay and soends 2fi r.nfc Second Class- 8. dav t'ioT^^T] ^""""t' ^^^^ ^""'^^^^ <'f ^heat on Mon- EXAMINATIOX PAPERS. 11 what was the mn';u^S!'l„r '^ ""^ ^"""^' "- '"- days? gain? $S982-aVi^. ^^■'^^^^ l I'ow much did he _3 How many ti^es 860 is 384xW0 ? I78.,Jo ,i„,es 4 The divisor is 86, the Guotienf l« dfl'? fi • , •s 47 ; find ,he dividend MSM-Ait' ' '""■""^" Sa.uJday 383 polnd^flfoJt^nrbthds 'd^t rh' \" dunng tlie four days ? 61 bushel '-Ans "'' , ,„ . . "•»••*»' Third eiass-l. .^n n,n,io„ seven hundred :^tL^J::2^'Z 3 Write in figures cprvv TDYIY . DCCCLXXXVIII ^L>X1X; V CCXL 12 HLEMOXTARV ARITHMETir i! .;^"^J i^cccLxxxA^ CiMl.lx and jm ^'"'^ thirty-two, nuin mimerals. v^n? ^^^"""^ '^'^'^e your answer in Ro ■^^^Itl^tlt:^ T> ''"-' '""- >"- John *-9''«; Low much have he four? tooror "'!'""" ''^^'^ 8 Jf 986 be added ,■ J-'OOOG—Aiis. «""> be? ]1860-A„1 ""■'' '° -'^«' >^''--" will the ^al^'^ofen:'''""'" -'''^■ff-enceof. 8416 and In Ti thn-d and fourth is eoialnh "-' ' '''« •''um of the o" pi-.«8,, «nc.?,:'fiVth"::rr"' t36^"r^ -• 11 Find the sum nf oii .i 'M-^G—Ans. "i^'ch occur ..:t:™„i8i'ii'^ 9^r'^?,r.*"i "■ ^ ^-^ « Junior Tliir,l Class -» J^/.ndthe prime factors Of 23,0. \.. ,5, 7, „_ 2 Multiply 986;i hv lo^ „ • multiplier. lOSSfilS^Ans. ^ ^^ ''^^ ^^^^^""^ ^^ the 3 If (S64-74 ;^S-i-'>7\ I , , -33 + 27), „.hae wiN tirelum itf'rf ooTi:: ^''+'' EXAMINATION PAPERS. i .{ 4 ;rhe difference between two numbers is 'Jmi-^ • tK • sum IS four times their differenr-P f , !u ' ^^^^^ 4818 and 8030- AnT '"'"""" ' '^"^ ^^^^ ^^vo numbers. 6 Find the number from which if 8693 be taken 4sr. times, the remainder wil] be 2S6m. 4076566-Ans t-JLwI/u'shelfa^sf '■", '""'', °; ""-'• --1' -n- -Ans! '™^"'*'*' ^' *' <:«>"'» P6f bushel. 1 4S074 cents Junior Third €Iass-3. »i «^a t i:':;;7eSs. ^^s?^- ts ^"- 3 Of what number is 896 both multipl, rV^- er and multipl i- ilii m 14 BLKMENTARY AIUTHMKTW cand? 80L>8I6-Ans O 7'liere are 5fi ^ i • *■'-' pounds in H ln,sh,.,'o'ot'"hn" ''"'''^' °'' ^J''-' •'"''l 34 possible from I'S^g' ''" ™btrac,i„g 8,396 W as often as 3 A and H h * ^"^''^ — Ans. often as B paid*? ,•■'''""' 'oi-SIflSS. A naid «1 $'031, ; B';%68u'-!';i::''"y<^-"-rsm each' payf' i: ?0%t teX It f T?'"' "" ^^"'^ ; l-e bought ■•.-"sms at S) cents per pou„S A^" P""""' >« Pounds o '^'^"'s per pound >Tr''' '^ POU"ds of birley at i P--"d for th^se artides'^'T, "' T* ^^"'^ ^^-l> He per pound with the renAinH ''? u*?'" ^"^ar, at 9 cems pounds of .ugar did he 'b "/f % ^^ "T'' ' ""^ '"^nv 10 The divisor is 97 I "^ '"'"•"'^-Ans. and the remainder i' Jfifi u 1'?°'"'"' '^ '«''ce the divisor divdend. 18836-An3 '" "'^ "i"""'^"' ' «nd the jjH Find the prime factors of 23100. ■> . 3 , , - 1 Find th. ^"?***'' ^'•*'"*' <^las«-4. • ^-i-;. 468— Ans. " "^^/-^-^ + (84-f-7) 2 A inanreceiv^c ^ i ----oard.|9:-»-a^ar,^^^^^^^^^^^^ EXANflNATION PAPKKM. 15 ij a year for other cxpc in (J years ? $26 10- A nscs ; how much can he savi receive for li> of the.n? $l:m()-.\ns. 5 Divide (94(; + ;{21)x(i;i7 I,v (IHtl + .r^ )v7 91 Ans. ' T- -VA< j'l — 6 A man took 40 b„,shels of barlev to market \nd sold ,t at 78 cents per bushel. He bought and nVid o 65 pounds of 4 inch nails at :{ cents per ound 4« pounds oi 3 mch na.ls at 4 <:ents per pound .pounds of strap hmges at 6 cents per pound, 25 pounds .white lead a 9 cents^per pound, li g'allons of i,l at 95 c^n s per gallon, and 46 panes of glass at 15 cents ead -how much money had he left ? 191:} cents-Ans. ' 7 Find the results of (1) 80x26x44-f-(9(;-f-44)x(860-_260) (2) 9846-0-^204-(8a2x990)i90 ^' (3) lx2x3-f4x5-f-8-4-9^3llx->x34-fi 0) 17-520; (2) U075;(,)io;Vt^0l Ans 8 A drove!- bought,S6 head of cattle at $39 per heid der atts "" ' 'r',''^^ ^'' '"^^ '-''^^> -^ ^hj rem"': de^r^at $36 per head ; Jiow much did he gain ? $8.,1 9 What sum of money must be taken 684 times fron. |312t»813 so as to leave Ans. a remainder nf SioiQ 3 $4571 le. «LKMK.VTAHV AUlTUMKTlC, m m [11, I- It'll 1 i>ivicJea8L>xK;xU0v>o I m ^^'Xjuxjoi.y 4yx:<(>xlOx!)8. ^ A clerk has a salary of 'fil -^nn "^ " " ^^ ~*^"-'^- ^/iollars a week for I r f r?, ''"'' ''^""""^ ' ^^ i'.^yv h'[e. I^'0clollar,nera r.Vr n'' ''"'" ""'"^'^ ^or 1 otherexpensesa/nou r 4?!'^^^^:^^ ^'-^^^^'^-'^ -'^^J h "Hu:h w.Il he spend in C veirs ." ' ^''' """'"'' '^ow '» 8 years ? $:i:mm), $r>l]^;^'^ ^''''" '""ch will he.avc A newsb'c sell« 17 / P'"^' and 13 copies of theS , ^ '^"P"''' of the has .1 profu „f ] ',e„t on ''5"" '" ""^ afternoon. He '""K >vill i, ,,ke hi " 1,?"^ ' rP^"- '^' >his rale how «m worth 605 eents? Udl^""^^"""!^'' '" l'"J' a new in,«o.fei;:r„'r ::;'iret';,::,, »f '-.« »■•" a ,o. ^e '-'""lesa day during half h' , ' "' ""= l'""' '< '- Aoais dunng the remainde? of he d, "in' j'" ""'« a day 8 There are (16 feet inTel ' j" '^•^^-^"^• »sf.at3centsperf:ot tofetTthe^"' T''' "'" " 12 chains long and 9 chkins widV^MT?"^" "''=' S'^'d, 9 A n.i,h„„. .,.. ^- *'"6cems-Ans. on.wi,ii^-,,^^;----;^;|e^4n.i,es^i^^^^^ Ho. '^' ^''^ '•^te : r half a mi e an hour ^''"'"' '^'^^' ^^^ends "e an hour, and returns at the rate letters- <^ms^ 'EXAMINATION I'AI'KHs. ir *'' - niiJcs in 3 hours ;> i i i nuiirs ." 1 J hours — A US. .Iiiiilor lliird Class «. 'N'lst lie sell the reinai,,,,,,,') ' r^, : , "^ '""", """■'' ■•'I'icce operation?. « 105- A ns *>'•■"" *''•'' !'>' H"-' 3 Three men rented a /iimi „f '>f)n „ . ' •'(■re ; (;f the pr,,,!,,,,. thev snU Im," , ?'T''' '" ^'^ Pei- '•'" cents |,er i'usIk., ■ ;] i |, ,? '»" l'"^l»-'ls of ,vl eat at '"'^l-el ; 400 bnshels'ofnrU , ' ','- "''"' ••« '^^ cetts p.r •"'00 bushels of peas It .1 ,^, ' , """"^ l'^"- l'"^l> 1 ; "-•-hare of tTgaln''"«S'riT„.''"-^''^''- '''"^ '-'1 , i-."t 5T;^:r :ii^j'Tf " r -' ^-^ ---^ - l«"""ls of st,..ar u y , enK ™," '"•■'■ 1">"'«1, ■•-, print at 11 c« er Im C ''^^""'i,' . ""^ « yards of dollar hill; how , u h Wv,;, T'T,"} '" l''''>™™f ^ ' " Inter? $1:33-7,,^ ^^' "'™''"'" 8'™ ''« ^usto- '"'e;''atXrts,rbth!;ivyr''f °/°*?^ «"<^ '■'^ '"•"' «-eisi.ing U62 pounds ' $ ..-I' o'.?!.''^^"^ °^'^' -^'> ■o' tlri^irt^fer^-^-din 2,:-days; how (9540 days- Ans ""^ '''""'' 'l'"''"'''/ of Wood? 7 iioTv manv hours hp^uofr. i o » i , K and 5 o'cluck^p"™'::':,'-'^^; ,:,°.^'°.^^',"°™ °" 'j-"«- I Q Tj * ' '--'*'<^v- »' iiours — Ans in^I^I^K.r/J';';^: - .^'Jl'f of 90 pageMh,re be- fletters-Ans. ''''Se and 43 letters in a line ? 148008 9 A n,.rchant sold 3860 bushels of wheat at $I,lo 18 II 'i- ELEMENTARY ARITHMETIC. "on.v; |.,o,v .nanrbush , rf "" ^ Z h"'\^' ^'^ ""^ DusheJs— Ans. ' "'" he buy? 7040 .'nnior Third €lass-7. UI^ rfi^rrnuL'ben "l ^^^^^^^^ -d 689 is increased by''38646,^t^eI'T\n^f.?'^r ^^^^ •'^"^ 50, numher. 9-Ans. ^"^^ ""^ ^^^^^ ; find the S The product of two numbers fs 4S f ferenc c, which is 8, one of the nnmh '""f^ ^^^•'* ^'^i- other. 24--Ans. t'le numbers is 16; find the 4 The product of three numbers k RRQaAAn . number ,s 980, the second is IQo a ^l^"^^^ ' ^^^ ^'^^ Ans. ''''""^ 's ^^-; find the third. 89~- 7 Ig49.60 was spent in buying e^gs nt in zen ; how many eggs were boug^htf%l52 e^cs'^ Z '" 8 A man bequeathed his estate as folln ^" ^^"'• his three sons $4890, to each nf v f i "^^ •" ^^ ^'ich of to his wife $1200 more than to bmh T"^''^^'^^^^^ '^^^OO, the remainder, which was three ttl ' ^\"ghters, and IS EXAMINATION PAPERS. jg ?5r)a head and gained on those he sold, $1200 How Tiuch did he gam per head on those he sold nil i [nany did he buy at first ? |15 gairi55 latt^Jlt'^ ^^V'^S^^Jtlt:^^^ tins I^hT'' H Junior Third €lass-8. ^rI 40 ''1 .0°"^ ""^"^ '""^^ °^ ^^t^h can be dug for ?82.40, at40centsperrod? 206 rods— Ans. L .? ^^^.^^^ ^2 rails to make a rod of fence • how m^«. |a.ls wdl u take to fence the four sides of a field 5G^o3s bngand 48 rods wide? 2496 rails— Ans. I 3 How many people can be' seated in a church mn lammg 128 pews, half of which will seat 6 persot \nl'( .th^ract^e?^ Tce^nr" ^ ^ ^^^^^^ ^ ^^ I ^ ^,f '■'^'If ^"""^^^ ^ ^^""^^^n number of sheen for toyn Ind sold half of them for $184, gaining therein io^^^' fead ; how many sheep did he buy ? ^6 sheepLl^ns'^'' U?Q^T^ v"^. ""'"^^ ^^^^ ^ "^^" to travel a distance' of 549 miles If he walks at t^e rate of 12 miles thenrKf ay, 13 miles the second day, 14 miles thethL a , i tl'!^' ^-? ^-y^ 13 mile's' th. fiftrdaj, U lifef ti. jixth day, and so on. 273 days-Ans. ■ "^ Lcltb"'"-^--'-^^^^ ^'^'^' ^^^ '^^ ^^bs of linen. Urt cems-AL! '"■"' ' '°" ""^^ ^^^ ^^^ P^y per 8 By what number must 191023 hpHiV,',io^ • j 5ive 279 for quotient and 187 forr'^M:^^^^-^^ 20 ELKMKNTAKY ARITHAIKn,.. $3.fl0. She gkve in invm/nf 't / ",'',•;' '""• "'" »i'<'es for change should she reS"' $1 16 -It '""'' ''""' '""^l' Junior Third Class 9. i --,0.3; find the valu^'^ft^chT^tX ^'^'iV^'^'" 2 Multiply 637 hv .>1 ,,0- r •>' '— Alls. and divi^e'th'e proZaCnl usTnT,,"' "" '™'"'^'"J d.v.on and fi Jthe true^emaind ",= 'l^^T "' V 3 Joe and Fred ir^ sin * , '«-.J-An.s. o,*er. Joe walking a 'the r '"of T" "f '''PP^""^" '^^d' f^ed at the rate tf i; y^Tck / 1 ■^'Y'^'' ^ ""■"""-■> an.l ■"■nu.es will they meet? 'TLume"^!'- '" ""'^ '""">' 4 Multiply DCCCux by cOLXXVnr . 'he product ,n Ron.an chara'ct^.^'lFu[.„-d ->-,,,] .-i's\[f|ir m"o:.f .Vo"T'''' -^^ '- -«-i e J l'ayf<>rafn?„, ofT'i'jre' [vo^f "l" " '■^'^« '■■•■'■" months—Ans. '" *^* an acre? 17o| .f,H„t"---' «2i«, wha. „.m ,5 Wses c„s.?| 7 Howlonjy will 8 mpn fni- ^ , men can do in 32 days? Is rh ^''^ "'"""'^ "'^'"'^ ^^^s 12 '•^^- ^^ clays— Ans. o A farmer mixes 4 }»iti-..j r 'ushel ,vit„ « bushe s o o .1;:;';:^^V™"" «° ™"'-^ ■■ find thf> vtIm^ ^r ..„ ' , '^^, ^vonh JO cenf« n • K-r-h^J Ans. " ■ ^'^ ^^ '"'^'^'" ^"«^^els oi the mixture. $1 2?J 9 ^^ peas worth 70 cents a bushel iml. , •Jusnej and barley worth 50 RXAMINATTON PAPERS. n, [grinding to be 40 , 'el ^ H'sb^TnT'"''' ""^ '"'' "' Junior Third €lass-IO. h yards a minute, the other at 'the rafe of ^t ""=, "^ pi anrf:;™^el'1h'i?^r is&"r 'TV"""- '^ |C9 and 3C8_Ans. ' "'^ "'^ numbers. |uL:s ilt rtm-O-rn's ^°^' *'«-^°- "'-' -"34 }oUlfTrmll7%Zr.l^ZT"' "°'^^'' »" "^ J 5 43 horses are worth as much n^ 1 9q ^^ (ows are worth I^S.O, how mt."c?i:VhoVer;thT%^0* [ow^^many bushe. of wheat did he' r^'J^f ?4 Tutli ,7,,r:f,.''"Sth of a field is 344 yards, the wid-h r h-- '• "-iigiii : how lone- will n k^' i. V ' ■•"i'*- lo rsuii Irpundlhe'fieldatthfrateof 43^vad^' "^ ■"='* '"'"« fijnutes— Ans. ^ °^ '^ mmute ? 48 8 The difference between 08 times a certain number 22 ELEMENTARY AIRTUMETIC. b m-A^:^"' ''"''""' """""" i» ^^^'2, nnd ,|.,e number join 'the 600? ^"daysliT"""' ''■'^' 'f «0 soldierJ ti "oIe"?;i™:;l'%^^,^,l7°"""l'er. fs 3984, .J 832-Ans. ' """^ ""= """'bers. 496 and] poJJd,^if™rnd'rof :^i,sT4<^^ °: '^-^ ^^ «« "-'^ -^ of cloth at 70 cents nvnrH to."" "* P™'"'' >« y'"-')! cents a , yard he ^rave f^. , ^* ?'"<'■'' "^ P""' « M much,-sh'ein'debtf%a^'3_A^r P" *''■''' '^^ 1 w u "'""'*'■ '"''"'■«' «lass-II. 1 Wnte the following number in words : 83689408 I on? llXdlto thouJSf f ^^^^i' '^ '- """■- 9556944— Ans '"""^and, four hundred and eleven) ■ , 3 The sum of five addends :. oiotoe , three of_the„, . „«01. Xf.^l ^^l^:^J i he product of three numbers f^ 9479.Moon . product of two of them is 777440^ I, 247225920, the ber. 318-Ans. '"^"^ ^^ ^^^^^^ ; find the third nu ml 6 When the divisor and quotient are S4q o ^ u mamder ,319 whif I'o fU^ Mu^tiem are f^4:,\ and the re- cr oiy, What IS the dividend ? 710968— Ans / rind the '■e'^ult'' o^ [2] ?t^'xti!^i^ 5^-8x90 3). X4(5x6-3x6) x (1^3;(2)396-An. find the number. EXAMINATION PAPER8 23 8 A farmer sold 86 bushels of wheat at 95 cents a bu- shel, 5/ bushels of oats at 'S5 cents a bushel, 70 bushels of barley at / cents a bushel, and 90 bushels of peas at l^! X "- ,^"^''^^' """"^ ^'""''^^'^ ^ bushels of clover seed at f$b a bushel, and 11 bushels of timothy seed at $2 a bushel; how much money liad he left? $152.05— Ans. 9 A drover bought 90 sheep at the rate of 10 for $50 hS |S;):'Ut."'^ '' ' '" ^'''' ''^ "^"^^ '"^ 10 A man can bind 5 sheaves of wheat in a minute* ^?nnn''',"^ "^""^^ ""^ ^ ^^"'^ ^^^'^ ^^'^^ '^ take him to bind 48000 sheaves? 20 days--Ans. 11 Forty-six times the value of a farm is $157320 • how much is half the farm woith ? $1710— Ans. ' 12 What is the value of 850 bushels of barley when half a bushel is worth 32 cents ? $544— Ans. Junior Third Class-13. 1 Reduce ^^13 17s. 9^d. to halfpence. 66^74 halfpence — Ans, ** 2 A storekeeper bought 421 books at 9d. each; how- many £ s. d. did he give for them ? ^15 15s. 9d.— Ans. 3 How many pens worth 6 farthings each can be bought for ^1 13s. lO^d? 271 pens— Ans. 4 If 4 books cost 120s., how many ^ will 32 books €ost? ^48— Ans. 5 A man spent ;^1. 13s. 4d. on Monday, £1 6s. lid on 1 uesday, and £2 5s. 4d. .on Wednesday ; how many faiiinngs did he spend during the three davs ? 5068 fai- things— Ans. 6 A boy bought 40 apples at the rate of 3 for 6 far- thingsand sold them at the rate of 5 for 1 5 farthings, I a a 24 "": ™ny «'"S »' -'s. Cd , 10 A drover houcl,, ■!(; i," ', "~*"''- ■•"^y-^f n:dn!;i;/;;;- - CO je^^^^ -'ves; „o,v „,.ny d. ,,'i,:„^;; S?er^"'^Hi-/'"""S "'-' 4 How manv frrafrx; ;,. . , „ .'(00 grains ; orco .rrn,n,.7nnn ''"''"<* "f 2 (1) What is the differ,. ' ^ Sram.,-A„s. pounds ofsilver and 5 po^^dTof „'".?'>''' ''««'«» 5 difference betu-een a sriin 'r, "''■'" "^ -') I, there inv -"•Sht? (J) 200 X" (fel^""'" ^'»''>S' 3 Reduce 24 lbs 3o/ tth i oirdupois weight. 20Ml],Z.A '^^''■' ^'^ P^""ds Av- ; ^«vv many drams in G tons ? 307onnn • Tood'os. EXAMINATION PAPFiRS. 25 6 A man bouoht :)ll).s. 3 oz. of butter at 2 cents an oz. .Jibs. 11 oz. of candy at H cents an oz.. Ocirs 4Ibs of flour at 4 cents a pound, and Olbs. 3oz. (Avoirdupois) ."ll f^,^ ^ a'"' ^'" ""'■' '^°^^ '"^'^'^ ^^'^ J^e give for aji .f* .>iu. ;)o — Ans. ' 7 A miller can Krind 31cwt. Iqr. 11 lbs. of flour m a d^iy, how Ion- will it take him to grind 80 barrels of 190 pounds each? 5 days— Ans. mnl^^""'" Tn7 '^'r^'' f^'}^' weigliing 4S0 grains can be" made from l;.lbs. 4oz. of silver ? 184 spoons-Ans. 9 There are 153(]0dr.s, m a bushel of a certain kind of giain , how many bushels m 3c\vt. l>grs. lOlbs. G bushels d. vns, Ibs^-An'i'^'"'' ^'^^^^"''- ^^^'""^'^^ '^^^- Avoirdupoi.s. 11520 rh^.V^f t ^'""""^f i ^''*'' ^°'^ '^•^•-^' ^'"^l the ccst of 6 ciKsts ot tea, each chest containing 2qrs. 121bs. $-J97.GO — Ans. ^ Junior Third Class- 1 4 ooOO^r'^^'^A''^ "''^'' ^^"'■- ^^'■^^^ ^y^'^ ^^'- 4'n- to inches, -ooj.ijin. — Ans. foo^.-$54-!Cj"' '^ ^^ ^'''''"'"' ""^ '''^^' '"' ''^ '■''''' ^^ 3 What would it cost to build 120 chains of fence at 5 cents a foot ? $4dG Ans. n fl;^ iT", '''"''^ I"' ^'^ ^'^^'^^"^'^ -^^t. of cable at 40 cents * 'ovX of 1 T-' '^ '^'"^^ °^ ^^'"^'"^ ^t $4 a rod, 4 chains miL'l-"'''V''''''-^"^'^ ^^ "'^'^s ^^u'-- 4per- on Mondav, 23 on Wednesday ; how many yards did he travel du ing the three days ? 115918yd.s.— An 26 a Hi KLKMENTABY ARITIIMETTO. ,1 < 6 A boy travels 275 yards in n ■ vvill It take him to travel '23 miles/ 71"''"^' ^'"V"^ ^X"^r2S^^~^- - ^ ha^JII^Ir ^/^It^^f ^ -^ '-'-s ofa horse 15^ — Ans. ^' ^"'" '" g"'"y a mile ? UO times -ij^ ^2^S%±'tT'' b^^-- two cities is 2131 4689:i2yds.-lns'' ^ '^''"^""^'>'^^''^^ ^P'^« are they? cei^Ill^r^^;^^:;,;},^,^^ dollar ^ ^-e. 6 $27.60-Ans. ^ ^ ^""^ ''^'^ ''^•"^""t of his taxes. 4 How many dimes are eaual tn 'in , pieces? 75 dimes- Ans twenty-five-cent 5 Of what substance'^ ir^ fV,^ r n . posed: a dime, an easTe a Cnn.n- """"'"S '=°''"^ <:°m- J coin ? How is the n 111 uSd r' «", "'"' ' '^^ '^e mill No; in computation- Ans '"■' «°'"^' ■'''""^e. 6 A boy boueht 4 hnoV- -t •< -i:- . , , . > cents each, 3 bookratisladf '""h !!^!!.' " ''°<"<^ "' payment -Ans. — " ■•' """^ gave in pa change should he get ? 70 cents EXAMINATION PAPERS. s; I)ow Jong inutes— Ans a man take steps— Ans. ifur. 24per a horse 15^ whose cir- ^-iO times :ies is 2131 are they? dimes, 6 how much on prop- yls taxes. '-five-cent ins com- the mill bronze. books at payment cents 27 7 How far can a man travel on a railway for 2 dollars, 6 dimes and 8 cents, when the fare is 2 cents a mile? 134 miles — Ans. 8 A banker exchanges Canadian money for United States currency at the rate of 9 cents for a dime ; how many dollars of United Stntes currencv would he get for $99.90 of Canadian money? $111 — Ans. 9 An English linen-draper sold 20 ells 2 quarters 2 nails 1 inch of cloth ; how many inches of cloth did he sell ? 923| inches —Ans. 10 How many French ells are equal to 6396 English ells? 5:^30 Fr. ells— Ans. 11 How many window blinds 60 inches long can be made from 1?0 English ells of linen ? 90 blinds— Ans. Junior Third l^lass— 16 1 How many square inches are equal to 46 acres 3 roods 32 rods 3yds. 3ft 120in.? 294504888 sq. in.— Ans. 2 How many lots each containing 968 square feet can be made of a field of 16 acres? 720 lots — Ans. 3 How m-.ny weights of 8oz. can be made out of a bar of iron which weighs Icwt. 2qrs. lOlbs.? 320 weights — Ans. 4 There are 4 acres 3 roods 17 rods in one field, 2 acres 1 rood 24 rods in each of two other fields ; how many square rods in the three fields? 1545 sq. rods— Ans. 5 If 4 men can plough 16 roods in a day, how long will it take 1 man to plough 8 fields each contairin- 6 acres 2 roods? 52 days— Ans. :hes in a board 12ft. 4i many apd 9in. wiJe ? sq. in.— Ans. long square 7 A field is 12 chains lo.ig and 10 chains wide ; how at ^ ■ i 7 t ^IJ 23 KI-RMENTARY AnrTimKTIC. "^^^ny acres docs it <-ontni„? 12,,,,, , 8 A man has four n n . '''''^•'— ^"^"s- ^;-es in the second thcr^^t^ i'l .;^^^ -e M are JiO square chains, an,, i„ ft. V^'^ '" ^'^^' t'i'>d there lU Fmd the cosf r^f <. r • -^ «ic;arc A of pa" ,[?: 'r,t\"'f •?^' ,"'•"'■ ■ "o. many sq'L^^^r"^ ■'""■■'^^ --^^ '" "»r9 square feet? 4, 1 How „,a„;:t' f ''"•<" ^-''—n. ^^'•\»f « ™'-n -A.;r"" '" ^°» '°- Of shipping, 2 Wiiat IS meant bv T ,n„ f ,• . a tun of wine ? 42 ^ ul L fee 'o/^'""-' •-• ""^ "H.ay ? °f"ay; 252 gallons of ,"■„:_/„?"■"-■'' '°°° !«>i cofc,p:.Tr-°^^-'--'-"^^««ocuiiS^'^';; ^ong, 6 feet mde and 2 feet higl esday, ^ a pile lo feet ^ on 7'hursday, and l<;XAMINATr(».V I'Al'KFt.S 29 pile containing liulf a cord on I-'riduy. lie got fiO rents a cord for ciittinir th $:{— Ans. c uood ; how much did h c earn 7 A field containing 12 acres is 10 cl lains wide ; how ontr many yards is it in length ? L'C J yards Ans. 8 A pile of wood containing 12 cords- is Hi feet 1 and 8 feet high ; how wide it? 12 feet —Ans. 9 How many piles of wood each 12 feet long, 4 feet wide and 6 feet high, can be made out of a pile r)2 feet long, 12 feet wide and C feet high? i;{ niles— A ns. 10 How many cubic feet are in 48 feet long and 20 inches bv 18 Ans. a stick of oak timljcr inch es 120 cub. ft. 11 Find the vilue of a stick of timber 21 feet 1 and 18 inches by 12 inches, at .ij^'JO a tl —Ans. 12 If 1000 feet of lumber c(;st 2000 350 feet cost? $7.00— A on ST lousand ? $3.24 cents, what will ns. Junior Third i:iass~18. , 1 Reduce 812343 gills to tuns, i)ipe.s, etc. 100 1 pipe59gals. 2qts. Ipt. 3giJls--Ans. iny pints in 4hhs. Gkil. 8 fir. 2gal. 3qts. tuns 2 H ow m beer? 3190 pints— : Ans 3 The wine gallon cont beer gallon contains 282 cul 01 lins 231 cubic inches, and the MC inches ; how many wine gallons are equal to 3G beer gallons? 43219 o-al.—A 4 II i 1 to' kUS. ow manv pints are equal to IGbush. 24pk. 22-aI. Kiqt.l 3536pts -Ans 5 A bin of wheat contains ftO bushels • h bags each containing 120 pounds can be filled fro 40 bays— Ans. ; now many m it ? **i I -m f '•H .'•I I M 30 KLKMKNTAKY AHIthmkTIC. '^S22 bags, aneeach TnfA nm ''^' '^^'' ^°^d contain- sold three loa ""'"^ ^'^"^'^ -^Pk- He "K-ndcr at h gain o? f e" „ 3 iTall '' 't' ^^"^' ^^e re' Regain? $2L>-Ans. ^''""" ' ^^^^v much did gets flour trcan^r4°;!:r;'r ''':'■''«'• --d^ or 'oaves-Ans. "°™ '' ''•'"■els of fljur? 294 9 A merchant bonfrhr i i i each, and sold them ft ^ ''mf "'^^ "^^^'-^^^es at $44 J^e gam ? |,>5.60- A,,s "" ^''""" ^ '^^^^' "^"^^ clid 10 If 1000 feet of l„n,K pounds will 25,000 feroT iZf' ' '°"'' """^ "any pounds-Ans. °'^ '"'"'«''• ""eigi, ? 100,000 w. ea„d,5fee.dcepl"'.!^7^r:-r„^' long, s feeT 12 A hght-house is 99 feet hi^h • h \ a sna.1 to crawl to the top at thl' !T '?"^ ^^'" '^ ^^^e hour? 36hours-Ans^ ^ "" "^^^ °^ 2ft. 9in. an Junior Third Class -i». headsinr/ Xriisr-rs -^ ^''-' - ^. '-.^- ■ a p'ou'n d™:^dtld'ut 'i^^'o" r^f f "i'^' ^ '^ -'» oats at 1 r— f - •pi--*i/ a bushel • fi^n ,.„.,. , ^ TT ' ^'-"^ ^ pound and sold h of e" ^tr^l^f^VyL^wtcrlirsnlf^^^ '•" « 12 i.md the yalue'of 4r\ 7, ^S,l_.4ns, «I-20 a bushel. $5S .O-aI,";"^"^'^ a'"''^- of ,vhe,t at I EXAMINATION PAPER!?. Junior Third CIass-3l. 33 1 How many bushels of wheat worth 2 cents a pound should l>e given in exchange for [20 bushels Jf oats >vorth I cent a quart ? ' 32bush— Ans. 2 A newspaper is 30 inches long and 24 inches wide - ^m^fcof/esTrs' "^' ^ "^^^'^^'^^^"'^ ''''' --^ * --^ 3 A farmer sold 35bushels 24pounds of wheat at $1.20 '' 'i'^'c^.'^AA ^'""?''^ * P°""^^ of tea at 70 cents a pound, $2.00 worth of sugar, and put |20 in the bank Slow much money had he left ? $17.68— Ans. ' 4 How many times 20pounds l5o2. are 158pouiid« 7 oz.f y times— Ans. . 5 Find the value of the following articles: C barrels of flour at 4 cents a pound, U barrels of pork at 9 cents a pound, 32bushels 25Ibs. or oats at 31 cents a bi^lu'l and .Gonshels 2pk. of barley at 20 cents a pk, $321 .37 6 If 12 men in 8 days of 10 hours each can do a piece of work, how many days of 10 hours each will 48 men require to do it ? 2 days-Ans. 7 If 36 men can do a piece of work in 24 days, how long will It take twice as many men to do half the work ? ^> days — Ans. . 8 How many crayons in 98 boxes, each box conUlin- mg 1 gross of crayons ? 14112 crayons— Ans. 9 Hovvmanj reams in 40320 sheets of paper? 84 reams— Ans. i i * o-» • ^2rA "'*^^?^''^"t. bought 6 chests of tea, each contiiin- ing 80 pounds, at 30 cents a pound. He sold half of it at a gain ot 2U cents a pound, and the remainder ut a ioss ol io cents a jjouud, how much did he gain by tlie H! N V IjysellmgtI.e whole urOM?','"'"""^'^ u-ould he 7 A flour merchant l.„ , ' ^''"'" ' $'Oo^~A„s 9 Reduce £18 ] q« f • -age wef.h'n^',:f^^^^!^i^^:^OOpounds. Hnd ,!!\- • ^-- "--u. lliiUpoLinds-Ans. ■■ " '" ootiniT j)iireons ]»o 11 w many wii) he kill out '»f' a hundred ? out of every 5- G0~ An a RXAMINATIOX I'APKitx. J.».Hlr«l r„ one m lio,> './T'' ,' '^;'"''^-'«H--'. Two '" '" -> l>->'l-d -Hi „,;' n u™ " ,V, r ,und3^"'"? cx'.t';';£';Cdu'ct i 'i^'''- "'"^' '"•■™"-«' -^ "■■- -xi :'<)ti.So-Ans:'''"''°'^ ''"'"" "f "O'"' ■'^'> '"'d "20. 5 Find the- result of (:)7:i,12--BH^34 18- Vn.. :?™d;;ld:,:dr'l;^&;l!--^s^o^^ :'07()-Ans. exactly divi^iijle by i)7:i-2? --un4f';;:^t^d-^-,.fX;^-'-w''t''" I: 3G ELEMENTARY ARITilMEriC. 13 I md the cost of 34acres '>rorvl. ^r i ^ a square rod, $27G0-Ans """"^ ""^ ^^ ^^^^^s 1 n M ^,^^"*®'"Thira Class -«. 5 Find fhA .^ . r ♦^'^taays— Ans. 12feerwfde :ith carlrar';"^-". ^°°"' '^f-' '™g and yard. $30-Ans "^ '" *""" ='"'^ ™«h H 50 a bushel, 750 seetofJurber;* 5°,, °''''' ''^ ^'"^'^"'^ " o wood 20 fee. Ion,,?6"e: v deV 7 ? tt'",' -^"^ *'^50acord. $1196.41— Ans. ^'^^ ^'^ (76+24) 9 a^he 1945900 tlifft^rence between Ans. two numbers is 48G9, their RXAMINAtlON PAPfiR». 37 sum is t) times their difference ; find the numbers. 9738 Hnd 14G07. Ans. 10 A wan is Slfeet long, 15feet high, and 2feet thick; how many cubic yards in it ? 90 cubic yards— Ans. 11 How many times must 3943 be added to itself to make 51259.? 12 times— Ans. 12 A grocer bought 551bs. of coffee at 15 cents a lb., 4()lbs. at IG cents a lb., and 801bs at- IScents a lb.; for how much a lb. must he sell it in order to gain $1 1.62 ? 23 cents — Ans. Senior Third CIass-3. 1 Find the prime factors of GOOOO. 2, 2. 3. 5, 7 11 13— Ans. ; » , , , 2 The product of four consecutive numbers is 3024, fmd the numbers. G, 7, 8> and 9 — Ans. 3 Eight times the sum of three numbers is 12728, the least is 241. the greatest is 4 times the least; find the other number. 386 — Ans. 4 Find all the measures of 60—2, 3, 4, 5, G, 10 ^2 15, 20, 30— Ans, ' " ' 5 A boatman can row 3 miles down a river in the same length of time that he requires to row 2 miles up the river; he rows 3C* miles down the river in C hours, ho\y long will it take him to row back to the point from which he started? 9 hours— Ans, 6 A drover bought a certain number of cattle for $1200, he sold half of them for $8.00, gaining thereby $10 a head, and the remainder at a gain of $5 a head how many cattle did he buy and how much did he re- ceive for them ? 40 cattle, $1500— Ans. 7 If a certain number be multiplied by 32^ tfie pro- duct increased hy 88, and the sujh divided by 28, ihe W' ♦■!; 38 I?LK¥RNT^RT AmmMl.TTC'. •-'ma \j, quotient will be 10 • Hnr? (K , o How many shcci) uf.rth 2 TO-l-lGOO-f- J^ou- miicli! i- — Ans. JO times .-is -Ans. -An.s. ^'idc :i-220 >t fnpc-Iinc talifno; {|i^. ■f iif.'tn buy oifrn-orih worth 45 fence 90 '0x20 I,y 'III l» (» ;i () s around '», if he EXAMINATION PArRKS. walks at the rate of iOrods in ominutcs? 39 5hr.s. 30niin. -Ans, 9 What is tlie remainder when 8.320 is taken 1 2 times from 1021 fO ? 22:]1-Ans. 10 Peter's age is 5.") years, Andrew wns half as old as Peter 15 years ago, Iiow old is he now ? 35 years— Ans. 11 P'ind the cost of a mile of raih-oad at $200 a chain? $10000— Ans. 12 If 4 men can do as much work as 8 boys, how- many boys will do as much work as 12 men and 20 boys? 44 boys — Ans, 13 A man has $8000, he buys 100 acres of land at $50 an acre, 4 horses at $122 each, 10 bushels of seed wheat at $1.40 a bushel, .'?0 bushels of. seed oats at 10 cents a'l)ushek how much money had he left ? .$2444 — 7\ns. Senior Third rijiss— 5. 1 What is the highest common divisor of 48 times (90 + 1 50 - 1 no + 20 X 5) and 30 times (00 + 1 50 - 1 ;50 4- 20x5)? 2520--Ans. 2 Find the 1. c. m. of 950 and 1260. H 970^1— Ans. 3 What is the least amount that can be paid by each of the following coins - lOcent piece, 20cent piece, 25 •cent ])iecc and oOcent- piece ? $1.00 — -Ans. 4 Robert h.td 5cents, Thomas 4cents, John Gccnts, and KdwiU-d Icent ; they bought 48 pens with their money, how many pens ought each boy to get ? Robert S 15, Thoma .. 1 :\ h 1-, lUllii lo , \nd Edvvard — Ans. i I 5 A hare runs I fat will the hare ■ 5fur- \ns. ; 5 rods w run while lile a hound runs 4rodH the hound runs Imile ? Ilow 1 6 How naany lujn can stand on a platform J 20ree^ 40 ffr^FTlVIKNYAKT AftrTffWrRTTC. i^a^Te'-It"''^' '"''^" '"--I-- " square feee? at $90 each, tnd 8cow, .f ji?ol''l*t '"" '''^'•'•~' "''"^^--'^ . W .1 head cin he C wifh f wf . ■ ' .''"^ "*''">' ''^"'P •-" 199sheep-An3 ^ >eim,nder of his ,„o,.cy ? 10 If 2 men earn SOcems each i ,).,„ j , , earn 40cents each a day, hen' Sn' willlf ',,?"''/ ''">■' earn $20.20? 9days-Ans """" ''^ I8f" wWe wUircarl'feT""?." ^T" -^^-^ '-8 -^ yard? SSTXAnT ' " " ""^ worth 80cems a 12 What is the value of t f^M fv«^^^ t rods wide, and worth $40 an I"!^ ?'"^to-iZ;"<^ *" Senior »hJr«l aas»-C. 1 Afarmer receired £18 is, jim r„, . , grain, £15 15s. 8|d. for anothe' load i?7 T 'ff^ "' another load, andle22 1 1 "^,d for 't, f ^^''f"''' did he receive for .he 4 loadl ?' £74 it oS -1 ''""'' J4XTC mbs '^'"'"V''^ of s«^ar;nWed.. :i' 2^Ti™e ir ^^^ '- -'- d-n/.4Td y-.r-'iS 3 The fence on the north side of a field rods 2yards 2,eet Jong, on the 5 9ch east side lOchain.s r> lain 5 3 yard Ifoot long, onti!; ".Xsi^sXr S^ t^ I RXAMINATION PAPETJR, 41 vl feet, and on the west side lOcliains Irod 3yards Ifoot ; find the length of the fence around the field. 30chains irod Iyard--An9. 4 Add together 14tons 12cwt- Iqr. 41bs. 2oz.; 17ton3 llcvvt. 2qr. 5lbs. loz.; 30t(>ns 18cwt. .'J.ir. 221l)S. 12oz.; 72tons 13cwt. '-^jr. IGlbs. 14oz.; 12tons iOcwt. «"5qr. 10 lbs. 13oz. 154tons l.'icwt. hjr. OI'ds. lOoz. — Ans. 5 A field contains K^ac. 3roods 30per.; each of two others contains 14ac. 2roods 20per.; how much land in the three fields ? 43ac. 30per, — Ans. 6 A boy had $2.20, he bought lib. 2oz. of candy at 3cent8 an oz , 211)s. 14oz. of ma[)le sugar at. Icent an oz., 2 copy-books at Scents apiece, and a pocket-book for 30 cents; how much money had he left? 74cents— Ans. 7 Ninety-eight times the sum of two numbers is 71'")4, the greater of them is 42 ; find the other number. 31 — Ans. r 8 Find the g.c. m. and the 1. c. m. of 88, 176, 300. 4 and 13200— -Ans. 9 Twenty bushels of barley are worth $16, what is the value of 256 bushels ot wheat, which is worth twice as much per bushel as the barley ? $409.60— Ans. 10 How much land worth $70 an acre, is worth as much as 90 horses valued at !^140 a head ? 180acres — ■ Ans. 11 What is the remainder when 18360 is divided by 97? 27— Ans. Senior Third Class-T. 1 What is the greatest number of sheep that can be bought for $1962 or $2289 or $2943, so as to get the same number each time ? 327 sheep — Ans. 2 What is the least amount of wheat that can be ix»ea ^2 KLr;MRNTA.UY A laTJIMETir. surd I)y CMch of ihe foil Ion five owing measures : a o.iai' -DusI.el hox? I. •bushels— Ans. a gnl- )ushel bai(, a 3 W '•^0 and .35 I'lt is tlie least mini fee ■Ans 4 'J >, gives 2] lor rcmaind '>er which, divided by 22 24 er in each case? !'2(>1 lie fore and hind wheels of (list of I i 111 ' in ciixuinfcrence res a ivai^on are 14 and 1^ incejn ^^hu■h each wheel will pectively. What is the shorte St turn an exact number Of lines '^ Hfuv- 1. ,.,„,. , •,. »■' '-.^ai I iiLiMiDer to,0and7 "rA^"'^^^'''^-'-^'--''"-^ 1:^0 5 A -i:ins uinn's income is .';^[)0 month rent, $(i tax -1 month, he a week for iirovisions, and I OS yearly, .Si 2 a month for doth pays $4 a es, .*() $I2' — A a year, how much can I lis oti,cr expenses amount t o ns. le save m o years ? $22,50 6 If 4 men or 8 b da\s, how lonu; will S ^^(1 lys— Ans. oys en- do a piece of work in 1 > men and 12 boys rcnjuire tr !et Q ,.• , , . 1'""— j^v.. , -t^ucHo. It.- Ans. ■ » -t>!gnt tunes one numb-n- is o^un^ f^ «> ^-- - ■ imher, ar.d the .„... .r ;,::' ' ^'^^"^^. ''J''''^^^ ^^"^ther M numi numb and the sum of th crs. $12 10 Ad and .32— Ans se products is 192, find tl ic and spent '•over bought 90 head of cattl '!^'^ a head for feed, $4;-) for e at $40 a head, arriage and ,f50 another "iiid the EXAMlNATr<^N I'Al'KltH 4[\ duty, for how much a lioad nu'.sl ho sell them in order to :uM $-').")0 by the transariio II $|'j: UlS. Senior Third VUisk H. 1 Find the ccst of digi^injj, a cistern ll'fcet lonjj:, Ofeet wide and iSfect deej), at ."»<)( eiUs -i d'.hic yard for the lirst '.Meet and lOcents a ( iihic yard f(^r the remainder? $25.20— A ns. 2 A farmer has 2 lOae. 'Jroods ofland and sells liHac, 1 o/i 1,. ,.r :. 1 >,,,.i. K,... 1,.. l..(V :> 'dJ^,,. •> .'iroods .'»()rods of it, how much has he left roods lOrods — Ans. 3 A laborer earned ,/^ I l.''s. {-'d. one week nnd /"l 17s. lid. the next, and spent t\. 1 Os. Nd. the next weei^, ns. liow MU(.ii had he left? X'l. 1 Is. I Id.- A 4 A man bought o(!ac. 'Jroods IHper. 1 lyds. of land at one time and r)<.)ac, .'h-oods 1 Iper. L'.")y(ls. nt anollier time ; he sold 04ac. I^roods oDper. ."Kiyds.; how murh had he left? 31ac. Irood '.W\Kr. 'Jyds.— Aus. 5 A farmer bought a cow for ,t!l() l^s. nnd after kcc])- ing her four weeks and spending tl 7s. Hd. for kvd, he id her for ;t:l 4 K^s. 4d., how nuich did he gain? £2 so iOs. lOd.-Ans. 6 How many fields eacli ^«)rods long and 40rods wide be made of a farm containing 240acres ? 1 2 fields— , I I can Ans. ■ I 7 Subtract .")Obush. >^pk. Ignl, 3(|ts. from OSbush. and | subtract 2Sbnshv 2pk. li^il. .'iiits. J pt. from the remainder. f 2')l)ush. Ipk. lilt. Ipt. Ans. ' 8 Divide $1000 among 15., C. and D., giving B. as much as C, and C. twice as much as 1). i5. f«40, C. .$vi40, T). $320.^ Ans. 9 How many cords of wood worth $■'> a cord r,hould be given for 32bush. ;!Olbs. of wheat worth $1.20 a bu- shel? 13cords— Ans. '^'^ KT.KMKNTAHY AUITITMRTIC. ^"onnjudo^ eggs? G01l,s._Ans Senior Tliirrt €luss-!> 1 How murh land In I>^ r i i ^ush. 3pk. :2cits.-A,i.s. ^ ^ ^'''- •^'l^'^- 'I't-? I'">5 •>e'dtn!^"r„?,%'rt'«i-i of «..,e..^a ,0s. Cd. a remainder at £0 18s lOd ntl J 'i ''• "" ''"'■^^' ''^"^1 tJic by the transaction ? £12 4s 6d ~AnV''"''' ^'"^ ^'' ^'''' 4 When 1 liorse is worth £34 n,' Tl u 90 horses worth ? £3l3o lOs 1 \n ^'^ '^"^ ^ ^'"^ ed'a'i^d' "isTlsl A„1;^""' ^™"'' "f fencing a. 2s. .6 Ten men and li> bovs work- ;,. nj^^n earns £1 16s. 8d a week n^ '1 ^^^^^''^^ E'-^^h Gweeks? £13]!^^^ ^'^^^ «^^^ and boys earn in 54tons 14cwt. 2L>lbTlAns ' ^ ''"^^^ '^'^'- ^^Ibs. 8 Find the value nf T«„^ r yds. of linen .tTmayt.stT" "' ^' '^ y''" ^S ""V;; 7 '-r"-^ -' i*^- «-h.. ^^ ss. 'ifd.-Tns ''■'■ ^ «1500,.W,I:°.i,f;^fi•:;;^^,•°"g and '•'^■\-"f --de cost cost ! »4500~Ans. °"« '''"'^ 72rods ,vide ' EXAMINATION PAPKRS. 45 10 Find the result of r)times(Stonsjk;vvt. 3qrs. 2"J11)f.) + (llJi^tonr~2q7sJ^f^o^ -f- ^ times ^SOtons UJlbs.) -|-(25tonsl Icwt. 2qrs. 2:31bs.) aOUton lOlbs.— Ans. 11 Find the value of a pile of wood 24fect long, 16 feet wide and Ofeet high at £ i IGs 4d. a cord. £'^'2 1 Is. —Ans. Senior Third Class -10. 1 Twenty-five bolts weie made of a bar of iron weigh- ing 3l)lbs. 8oz. 14drs., find the weight of each bolt. Jib. 3oz. 8||drs.— Ans. 2 Divide .£126 13s. 8id. into 36 equal part?. £X 10s. 4|d. Jj|q.-Ans. 3 A merchant bought 24chests of tea at £6 4s. 3d. each and sold them for f'lGO ir>s. 8d., how much did iie Aq- -Ans. gain on each chc 9b. 8|d. 4 Divide 32days 22hrs 40min. OGsec. into 24 equal l)arts. iday 8hrs. 56min. 41||sec.--Ans. 5 How long will it take a man to earn £36 15s. lOd. at the rate of £3 6s. 6d. a week ? 1 ^ w^s weeks— Ans. 6 How many fields each containing 4ac. 3roods can be made out of a farm of 380acres ? SO fields— Ans. 7 How many times must 4bush. 2pk. Igal. Iqt. be taken from 31 bush. Ipk. Igal. Iqt. so as to leave a re- msinder of 3bush. Ipk. Igal. 3qts.? 6times— Ans. 8 What is the least sum that must be taken from £36 Ts. 9d, to make it exactly divisible by £5 4s. 7d.? £5 3d- — Ans. 9 What is the least amount that must be added to £35 Is. 6d. to make it exactly divisible by £3 4s. lOd.? Us. 8d.-Ans. [ £ 40 I!, ' KLK.MKNTARY AUlTUmmc 10 A hntcher sold :]nvt •>,„- om, "'■t for it? 2,._AnV ■ ''""'""Id. did h,. „,t , «i-'t a ^p'f c^;fy:;^^-^ 'Scents, .hat wi„ I^bush. Senior Third Class-ii. 1 i divide .1i!;}.-)00 I)ehveen A o. i t> • • 2 Kight men und 10 b jys eirn <^on ■ \>^'rat $10 a thousand . rl -f , ^ ''''' ^'•^'^'^'^t of lum- mOA'J^.Ans ' '''"^ '- ^ooks at $4 a dozen- 3.S4 men-Ans. ^'''- '''°'"^ ^^^ ^^^i'^' the time ? 6 A man has Soiat -iA . i i a du'dh-ng-house for $['Z6 .1''"^'? ''^1"^ ^^'^ '^Sn.'US, o^- o^^^^at 40cent.s a bushel ' and'si' "V^^;^ '^' ^^''^'■^'^• 7 'I'hree loads of I much money has he left? It §G $IL>GG.7r)-An now many load; loadii — Ans. ^y can be bought for .£14 8 ^I'l be bought for .£52 I OS. 9d., •"^.s. Ud? li EXAMINATION PAPEllS. 47 8 '^i'wo men thresh Shush. ]pk. Igal. -'^qts, Ipt. in llie forenoon and Gbiish. '>pk, Igal. 2(its. 1 [)t. in the after- noon. I'ind how much they will thresh in liMays; IS,") bush. Ipk.— Ans. 9 .\ farm is JUkhains 40links long, and 27chains HO links wide, how manv acres does it contain? lOO^'^^iic, — Ans. 10 John had 3ceruo, hklward had Scents and Jaiuos had 4cents ; they bought 75 marbles with their money, how many marbles ought each boy to get? John IT), Edward ±0, James 20— Ans. 11 A farmer had GOObush. of wheat ; he sold .'Wibiish. . 3pk Igal. 3([t. l})t.to one man, 14.")bush. Ipk. igal. 2<|t. I ])t to another man, and one-half the remainder to another man ; how much had he left? 209bush. 3pk. hjl, — Ans. Senior Third €lass-l'l. 1 What will it cost to paint a floor 21 feet long jjnd yards wide, at SOcents for 4 square yards? $8.40 -An«. 2 The divisor is 7 times the quotient, the (luoticnt is * .'5 times the remainder, and the sum of the three is 22') j find the dividend. 51 12 — Ans. 3 Four num!)ers ayerage 4S(), the first is 38(5, the sec ond is greater than the first bv IS, and the third is k-sH than the sum of the first and second by 2GU] find the fourth number. G24 — .yns. 4 The divisor is 5 times the remainder, the (|uotienl is twice the divisor, and the sum of the three is 80, find the dividend. 1255 — Ans. 5 A man bought 2 farms each containing 3nac. 3roods 30per. Dyds. 4rt. 120in., and 5 farms each conuiitn'nu 70 cic, Irood 20oer. Gvds. 4ft. 80in.; he then divided his laud into 12 etjual farms, how . much land was there in each farm? ;>5ac. 'rood oGper. 24yds. 4ft. 21) .'(in. — Ans, Hi. 48 ELEMENTARY ARITHMETIC. 6 What is the value of 850 sheen anrl '?40 sheep and 4 cows cost «lii T^a ^^ ^°^^''' ^^^en 4 as much as a sheep ? |l 5,300 ' '"^ ^^ ^'""^^ ^ ^'"^^^ 7 A farmer sold to a irrorpr •f9N„oi <■ ^ cents a bushel, and boug^'vi „ 't f P°'''""<'' "' "» a gallon, ICIbs. of sugar a fw,,, '",°'^^««'* at SOcents coffee at 30cents a Ibf L^":;' b^ 'of ^fJI^'' "' a ~Vfi;r.r^£:;^,"f f- °f a squaje yard. !i7.36-~AdI ^^ '' •"" *'=^""' 9 A man can row down titrf^'^m «t *i an hour and up stream a? !, . 9" '''"« "^ '^'"iles After rowing dLl«rTam,„fr''''' "'^u*""'*^^ ''" ^our. take him to'roM, t^, str«m to f n""'!' ^T '""S >"" 't ^e^s.eam than thlSr^ ^hS ^.^^l^ Senior Third €lass-13. «teitit;;,e"'rro^^^^^^^^^ -f^ '^f "« ^.e^remainder at the rate of'l/^^tiela' d'ay^ ^tiiy^- can b"L'"hrCl3"5'so*'ft;f°h ^"^ ^^ ^' »«-75 of each? So horses ^dlw-Xr ^"l""' "-''- fei! S wi;i ' cl;°et' '"^iX ' '■"'r "' i^"^-' '-S and 1 1 yard ? $19.20-Ans.' ""^'^ ""'^ ™"'' SO'^^'s a ertyatS^eVT^^OO °/„d"r;'V","- ^°"-. "" P-P- on property assessed at J-'-oo r i ?,"'"' '" "^« ^""ar taxes, im 80. ' "'"' ""= ''""<'»"t of his BXA>mxATIOT!J PAPKHS. ® 5 If 2ac. 3roods 30per. of land can be bought for $90, how much land can be bought for ^45? lac. Irood 33 per. — Ans. 6 Make out a bill for the following account : March 21st, 1S8'J. David Austin sold to George Dunn, Syards print at I'Gcents, 4yards tnuslin at 20cents. March 22nd. ?)lbs. tea at TOcents, oOlbs. sugar at I2cents, 161bs. rice at 6cents ; March 54th. Ulbs. butter at 20cents, 1 41bs. •coffee at SOcents, and I31bs. raisins at 12cents, $18.70 — Ans. 7 Tl - divisor and quotient are €ach 324, and twice th 'isor is equal to three times the remainder ; find t . . idend, 1 05 1 92— Ans. • 8 The interest on $555 is $16.65 ; what is the interest on $1 ? Scents — Ans. 9 A man insured his house for $4220 and paid a pre- mium of 6mills in the dollar ; what was the amount oi premium? $25.32— Ans. 10 If 96 dozen eggs cost $12.48, what will half a do- zen cost ? 6^cents — Ans, 11 A farm, containing lOOacres, is 200 rods long, and is divided into 4 equal fields by 2 fences crossmg each other at right angles ; find the length of all the fences around the fields. 840rcds— Ans. 12 250 men and 120 children went on an excursion; the men paid a fare of $1.20 each, and the children paid a fare of 60cents each ; how much was paid for excursion tickets? $372— Ans. Senior Third Class-14. 1 Find the cost of carpeting a room 1 Sft. 4in. long and 10ft. Sin. wide, with carpet 2ft. lOin. wide, and worth 80cents a yard ? $12.38^— Ans. -I I 1^ M ' ■ t V 50 ELBMENTAUY ARIT|lMEJio -ii. lu^n, at 4)j.j.) a cord? $080— Ans, 3 A hoatinan can row down. ^rrn-.n. ■.*■ .\ . !• mile in Iftminutesand u„ s. ™,n u he ?o " ""' tlie other lose" minute tfl?' "'""'"' i" "'"'"^■^ »■"' .^e.bead..e.n:T:3i,^Lr-Th::r;?j.;!' Win 4ird?oS "i^^^t::"^ --y <'^^^ 6 How many fields I2chains Ion- and lO.lv,;, v> can be made out of a farm ifin.V-T ^ i^uiains wide wide? 9fieIdslAns ^^"^ ''^"^ ^^^'^-^^^^ , '' The 1, c. m. of 3, 4, 12, 15 -^0 Sf) ,0 i ^'"^es theg. c. m. of 19;^'and 435 ^ ^.^les - t^I "'"• 8 How many tons of coal wnrth «>i ^ *. much as a pile of wood m lo ^Ifif, °" f *"'"' ^"^ Ingh, and wo.t,, $4 a cord' IS.'^s An^ "" '" 9 Find the remainder when Stons ;t,wt i , v,., are d,v,ded by 2c„t, Iqr. 181hs, itlt ,G,bs*^\„f'''" yd!'4drat fc':;f ^t,«?*•;/,'i-" - ^'^^^^^^^^ seii it soas logam .|i7.:>4? 34rpnf< a' ^^ "- ns, 1 A 1 hoists w sl.iO a 1 .?]009, h 2 \Vh; wcigii -Hi 3 Fine (ontainir 4 The nnd the r liiiil the (1 5 Divi G A w( nt 7 o do in the evt he earn it 7 \Mia rt'inainder -Ans. 8 A mr and' h ive ! 9 Tcter had 22cen ney : how jwhn 27, i 1 A LJ „ , thi( k, in a bricks — Ai KCAVfllfiTIOX I'.VPFlRS. 51 Senior Third Class -ir»- 1 A man owns 75a(:res of land worth |50 per acre, ,1 hoists w<.rtli $108 e.'u-h, and 21l>1)us1i. of wheat worth sl.iO a luish. He owt-s one man i?426 and another S]()09> how much is he worth ? $2872.20- -Ans. 2 What length of rope will weigh :^tons if 18ft. of it weigh 4ll)s,? lS,000ft. — Ans. 3 Find the distance around a field 50rods long and (ontaining lAacrcs. IDGrods- Ans 4 'I'he divisor is 3 timt-s the (luotient. which is 232 nnd the remainder is the greatest whole number possible lind thedi vidtnd. 1 <',21G7— Ans. . ' 5 \y.v'u\v the continued product of 44, 30, 42 and 100 In SSxnOX.i. 2 10- -Ans. 6 A workman earns 20cenfs an hour, he begins work .It 7 (.clock in the morning and st( j.vs work at o'clock in the evening, taking 1 hour at noon : how much will he earn in a week? $"2 — Ans. 7 \^ hat nund):r must be taken from 30993 so that the ifinainder may contain 843 twelve times exactly? 29877 — Ans, 8 A man has $4805 : how often can he give away $3'^ 1 and' h ive $! 916 left ? 9times— Ans. 9 i'cterhad r2cents, John had 18ccnts. and Thomas lia f o* {T i-» . ^2 piex, mixed— Ans. 10 How much is Stimes | ; 12times H > ^times U ; 26 times H ? ¥ 5 W ; W J HF-Ans.:j , 11 Divide | by 6 ; ^V by 40 ; ^ by 10. ^ ; ^h r 12 Find the value of 364bush. of wheat at $| a bush. ^318f-Ans. I Senior Third Class- 17. 1 Reduce 36 to a fraction having 22 for denominator. \«^2_Ans. 2 Represent A^- as a mixed number. 5A|-Ans. 3 Convert 321 ^^| into an improper fraction. ^^^^ — Ans. 4 Simplify 2x3x6x12x10^ 2J 8x1:^4x20x8 32— Ans. 5 Simplify^ of H of M of \; and f of 3^ of 4 of TOf of ^^ of 20. |and6f-Ans. 6 Reduce -^-^^ to its lowest terms. |- Ans. 7 Reduce 8f to fifths, 3^-^ to tenths, I84 to sevenths. ¥' f^' H^-Ans. 8 How much are ^ of 1200, ^- of 'MOO, ,\ of $9999, and ^ of 3015 tons? 960, 900, $3639, 8U4tons-An5. 9 Find the value of | of 132bush. of wheat at 90cems « l.Msh 4 of 210bush. of oats at 40cents a bush., ^ of 330"msh.'of barley at 60cents a bush., ^j of 50f. bush, ol clover seed at $4.50 a bush., and j\ of ;;90bush. of lun- othy seed at $2.25 a bush. $2370.90- Ans. 10 How many fifths are equal to 85 ? 4|i - An>. "11 ■ I,, f 54 KLEMKNTARY ARTHMETJC 11 A merchant boiKrhf wr»ni i iHish., and the renia m'er "7^?"^-^^'^ i «f it at $|2 a he gain ? 1 1 .>0- An" '" "" '^"''^•' ^°^^' '^"ch did 12 A farmer sold -^ nf uw. r - $60 an acre, | of .L°'re ainde" r«rr'"^ -■™^"-> vl.atthen remained for .r^OO hi * , ^" .icre, and '>^- get lor wlm he , sold fase" jgo"' "'"■='' ■■'" ''"e did -IJ Uhat fraction Of 72 is 31 p .3i .„ Senior Third ( lass-is. 1 Reduce A x^ j?3 ^ r common d.nominll;,," ;," ^I'^ff' ''f "g . •■'"<' ^ncher ond-Ans. "'™ "^ 'he longer road ? The sec- 4 Edward ate S of 4 of o of i r , , " H loaves, whfch „f thi tCe I ;^ "" ^ °'' i "^ A Thomaa— Ans. ''"^^ ate the most? 5 Reduce M s» ind 1 1 . ing the same de;^;;;inl; ^ -^/f/'Ti' ^'^^^"^ ^-^^'""s l^av- 6 Reduce U lit 2j ,;. , \"'"' ^"•" ^^-Ans. J^avini. .he same'^^ommon f^ ^"^ equivalent fractions 131 fij i3,B- "J common numerator. J-j.iejr 131 «, 8itf8' iWI—Ans. 4 6fi> MIH, ' ^^ tV of a dollar were dkn(^^r^ ^^ n persons, how much would each rece1v;?"t V""°"S ' ' 8 VV hich is the ffreatf^r 3. ^.r 4. r .' " '" ^^^ ~ ^^- 8 "'■ fs of . » of a^;:^n^' \t\:Lii °' ^ '-"' -^ * "^ A man bought j of a pound of butter at 2ce„ts an EXAMINATION PAPBJ18. 55 a ounce, ■} of a pound of tea at 4cents an ounce, j\ of a pound of raisins at Icent an ounce, and nlpounds of coffee at 2cents an ounce, and gave in payment a f<.ur dollar bill, how much change should he get back ? 99 cents — Ans. 10 If I of a farm be worth $16(30, what is the value ot I of it? $17r)0-Ans. 11 A man sold | of his farm for $1200, and then ^ of the remainder at the same rate, find the value of what then remained ? $450— Ans. 12 A merchant bought a quantity of grain for $999 and sold it for $1099, what traction of the cost did he gain? -J^o__Ans. Senior Third Class- 19 1 Of what number is 35 the ^V ) of what number is ft the -^j ? lOoO ; 29|f — Ans. 2 A workman had $78 and earned $122 more, and then spent -} of what he had, how much more did he save than spend? $i20 — Ans. 3 A man can do a piece of work in 30 days, m how many days can he do j\ of the work ? 21 days— Ans. 4 A boy's age is 15 years, his fathers age is V of the boy's age, tiiid the sum of their ages. nTyears Ans. 5 Two-thirds of the pupils in a school are boys, and there are 15 girls, how many pupils are there in the school ? 45 pupils — Ans. 6 A man bought a horse for $115, a carriage for $14 less than i thp rosf nf thp hnr^t^ :^T\r\ n rnKe f-^r _8- t^>f« cost of the carriage, find the cost of the three. $209 — Ans. 7 Thirty-seven is what part of I of $1600? ,y^- Ans. * 56 KLBMBNTAKY ARITHMKTK!. _ 10 A boatman can row a mile down stream in 1 «(■ hour and a mile up stream in | of an liour Tftl. * •"" down stream for SJhours, hoJlong wiU t tak" M^^' retu-n to the point from which he sta« "d ? lOhours -' :nZ3^;LT^^„li,?r3fceraV;J.>7^^^^ Senior Third Class-so. Ani """' "' '""' "' ^' ='«- ^^- tV. a and ^. ljj_ 2 Find the value of 3i+i|+8|-13|. 2^,V-Ans. i^'LoTJ^u^ ^^"^ ^ °^ ^ "^^"'^ property amount to $mo,fmd the value of his property. $12000^Ans. 5 Find the result of C^+n of a_i\ ^f /o . nx r< ^ ° ir 9 6 0" — '^iiS. **' 00?affX^fr''Hegrvelt''i:rs'''wt''rt""l?' '° *'^- .he reminder he diS eVu^al^blteVhistrdau^h' EXAMINATION PaPRRI*. 67 38 . («rs ; find the share of eacli and the fraction of the whole received by each daughter? Wife, $5000, son, $3750, daughter, $3125, ^4- -Ans. 7 John can do a piece of work in 5 days, James can "' ) 'iTo 4 Simplify (1) I of I of -^ , 3| 0/ 2^ of ? M Ht 58 (2) (3) ( ELKMENTARV AKITliMETIf. -31)} 41 ^8 3| ^To 1-1 1 r- • 3 Of ^ ofT . ^+1 " 7 they stand : — of -« nf » /^ r^ H 4i "^ 1.T of J of— of- of J of -i 1 Ans. * ^« n 9 17 ^^^-^ ■ a Ad^!st P ^ ai^;; -- ^Ocents, .h:u wi,, ^^ of 7 Find the product of a 4, » 10 „„^ 7 Divide 4 of 21 of T nf ir: , \ . ^^ 15$— Ans. Ans. ^ ^ °^ tV of 15 by ^ of |. of 2J 301 ge. a bushel forlhat h? soldf « ."1;!!^ "''^' "id ^e must he JTt so *aZgl"%o^f ''!''' ''°^ "-"ch l3666.25-.Ans. "*.«*'" »-'00 by the transacNon? _^ 11 The sum of two numbers i, Iftis numbers is « of the .i.im ■ „,i . r ■^*^' ""^ of the othernumblr? '^U"!"/ ^'>« fra«>on of 1001 is the piece of work in Shours 6ho in What time ca-nA^nViZT^Z-t It m KXAMINATION I'APEHS m it? '2^\ -Ans. 31V as and ami Iji. 2 A man can do a piece of work in 1 Idays, after workiiiif at it for Gdays, \vl)at part of the work has he to do? /'j— ^"*^' 3 B can do a cert;xin job in I5days, after u )rking at it for 8Mays he is i oine'l *y A, who can'do the work in 14 days; how long v il! it tak • the two to finish the job? ,'U Jchiys — Ans. 4 Divide the sun if l.lj^ and U^jby their difference, and to the quotient add ^'^ of their product. 5'">s!it — Ans. 5 Kind the greatest common measure of f ^, 6 rind the least common multiple of H, -||, iJgt JL_ A ns. 7 If J of a bushel of wheat and ^ of a bushel of oats are worth 'JUCents, what is the value of ISbush. of wheat and ISbush. of oats? $;J2.40— Ans. 8 A cubic foot of water weighs 62|lbs.; find .the weight of thewater in a cistern lOft. long, 9ft. wide and 12ft. deep when the cistern is half full of water? 33750 lbs. — Ans. 9 A had $30?j, he 'bought 12^yds. of cloth at 35^cents a yard, 4|yds. of cloth at 20cents a yard, and gave f of ^ of the remainder of his money to B, how much did B get? $4.17-{^— Ans. 10 A and H together can do a piece of work in 20 days ; A can do the work in 35 davs ; in vvhat time can B do it ? 4G|days— Ans. . 11 How many fields 201 chains long and 5 'chains wide are equal to a field 40^-chains long and 30^chains wide? 11 fields— Ans. f I .1:1 iti a_i N... 60 ELEMKNTARY ARITHMETIC. If 12 Two men are 450miies amrf n«^ other, one travelling at the r'te of%Tj -f ^^''^'Y'^ "''^"'^ the other at the rate of 'gw.. i""'"' "" ^^'>'' ''^"^^ will the distance bet^veenfll/ ^^I' '"] ''^'''' ^'"^^ 13 A had,$150and eav*^ -,„-,,, i r t- 'hen I of i, ; l„ „J,^,Z h: ty^^^^^Xr ' """ 1 T-i 1 ^^nior Tliird f!las«i— 2'> and the^etSenf '.■';/'- '"'°"-' ''l-f "- divisor «6192-Ans ' " 'l^'ient, find tlie dividend. d ^ ^ere are two numbers whose sum i.l 7 o ^ . " difference s A, what arp fh^ J t \ ^" ^"<^ ^^''^o^t? . „,, ^ ^'" '^''^''^^ ^'^e numbers? |- and |~Ans 4 The fore and hind whef^k r.f . and i5|ft. in circumference wl'tX'/' ''' ''^''■ carriage move in ordpr tr. k • , distance must the relati^ posi.^ ^^^ s^^^;-! "^^^f^lJ^^^^ same ^r^'^^e^'^^I^J^^^^^^ h'^ -hich was t?her daughter ; what part of fh I'^l K'''' ^ °^ ^'^^ ^hare daughter receive ?X~Ans '^^'' '''^'' ^'^ ^'^^ m^hlll^l^ft^f^t^^h's ^rm for ^.500, how 1 ui , ot ^^ of the farm worth ? $3750-Ans eacVotrer""wV::7ht\"et"o'^^^^H^ 7' ''^^^'^' ^--' more than the other how T" J'f ^''"^'^""^^^ ^^^iles 471 c_-,. ,_y\"^^' now far did enrh m-n tr ) -^ - ' To ^^^ilcii ana SbgLmiles—Ans. ' ""^ '' 8 Himplifv •'^ i ||— Ans. EXAMINATION PAPERS. 01 9 Find the values of (1) f of ^- of Uac. 2roodH ISper i'l) lof f of A«f -U J of I . inoni (3) ,\o{ i? of of— - ^ ^ ' -4 off $ir» (1) Sac. hood 16per. (2) |i| (3) 74|times™An9. 10 Reduce 3fur. 30per. to the fraction of 2milts Ifur. 18per. ^Y^— ^"^• 11 A and B can do a piece of work in 12days wljidi B by h mseif could do in 2.5days ; in what time could A do it by himself? 23|days.-Ans. 12 One hour is what fraction of I\veek3days lOhuurs? TjliT — Ans. Senior Third Class-«4 H i| U 1 Divide I of f of If of M ^^y i o(- of - of -- ot ^ 5 o 17 21 1 -Ans. 2 What part of a farm worth $5500 is worth as much as I of I of H- o^ ''^ ^^^^ '^'^'"^^^ ^^'^^^ ^ sl^^"**' 3 Fifteen men and 18 boys can do a piece of work in 9days, in what time will 5 men and 6 boys do | of ih'J work? ISdays.— Ans. 4 A drover bought 36cows at $50 a head and sold | of them at a gain of $6 a head, and -| of the remainder at a gain of $7 a head, for how much a head must lie «t' 11 the remainder so as to receive 5^2032 for the whole ? $56— Ans. 5 If fbushel of wheat cost $|, and If buy 2bui.hels of oats, what is the value of 136bushels of wheat and I "iO bushels of oats ? $198- Ans. 6 A mail earns Stimes as much as a boy, how ninny ! it Mil 11' i life 62 day ELI- « must :v.i ■y^ENTAnY ARITHMETIC earn m 2day,s ? i 7 A man digs a ditch at th men work to earn ' "day— -Ans. ^'is much as 15 hoy. •s wi /7 Jo"g u'ill ,t rake h a day ? 34d rateof3i,rods for 21 Cl}H. 'm to earn $20% "if j^ e digs 10 cerus. Tor er soJd 881)u.sh. of u^h ent at SI 1/ 8 A farm »l =^ l'".^'.el, and b -i , u'"'nion'7'';'' ^■™-sldn,„'^''t; v.r .eed at ,$51 , buslid.^ T'''; "■■ «-'*!• •''bush. of^. ' /"^s- of tea at 70 h^-'dheleft? $10 > ,^.> '"T"'''''^ ^ >'d. h 9 H ta ow inanv tiin '^-ents a ]h •' 'low much iDontn 10 Divide .'J^^cSOO ons I2cwf.? 5 L.I s 2c wt. con- — Mf. T^ V.' v/ \y get ^|. as often as H i VVhatfract '>etween A and 1, ,^ S^^^i A ^2000,1 •^<'nic>r Thsfil € M-| times — Ans so that A $1800 -A may ns. 2 A liorse h mu ion of 9,2 nrf> -^qj ' •u w are «'.i:Vcont.s ? nian paid $260 for a h "'■«e and cai ise ne cave -^iti... --"oc ana 'Chdid1,:,^""!.^.'-"^!!asf^>rth ^■■^ -Ans. ■'"''\^e, for tht nage— A ns. '^'e for each? ^- carriage, h $-'^0 f.)r h >rse, ,^^60 f, 3 l-'itid the value of 3 o\v or car oj U of 4 I' at at at lot .121 .05 •'-IT '^^YD & Co. 7 Divide $400 among 4 boys and 5 ^!^-^^^-^"^- ^achg,rl|asmuch as^toeach b.v J''^'' ^T^ '- each boy and girl resnp-^f,-, J ^' ^ow much does S40--Ans. ^ ^^^Pe-tively receive ? Boy, |00 ; JrT o A boy is JGvenrc /-vM • i ^'; IT''"^ "'"''' ''"^^^ wn. Hi, y ^hat IS the value of 52arrp« ^/i ^ . are worth 1180. $29l |L/ns^ ^' ''^ ^^"^ ^^^n 3^acres Senior Third Class-^r. the rt^nT-'^'"L^ "' ^^'^ '"«"-y '-n buvi: . ..^ . _. «^i" ^^So t, i;J::?^:^,^^and h^,e .e.. tk l^^ r-Ans. "'"^"^"c'l money had ho ul-rst? $3750 ,2 VVhat part of 'SyV? Wlnt ;m of I of^ i5 EXAMINATION PAPERS. 65 the product of -}, i and ^ ? | ; t^— Ans. 3 The divisor and quotient are the same and the re- mainder is 5, which is 4- of the divisor, find the dividend. 11230— Ans. 4 Find the average of the four following numbers : -|, h i '^"^ ~5- /Vo— Ans. 5 A man bought a number of sheep at the rate of 32 for $200, :md sold them at the rate ot 17 for $U^, how much did he gain on each sheep ? oOcents — Ans. 6 Simplify the following : (1) tiGG7| 3:)6|J,-fOI3/v ."of : of S^ylU 267|^12f 3 2000 (2) / 4 of 2i ( Hx6f H of i ^1 1 -^ ' 1 00 / V 1 5 8 ' (1)tV; (2)lf-Ans. 7 How manv books at 33|cents each should be given in exchange for 901bs. of tea at oOcents per lb.? 135 books— Ans. 8 A can do I of a piece of work in 3days^B can do |- of it in 4days, C can do f of it in Bdays, and l) can do -I of it in 2days ; how long will it take them all to do it ? 2ij4^days — Ans. 9 A man bought 300 acres of land at $G0 an acre and sold I of it at a gain ot $10 an acre, | of it at -| more an acre than it cost him, and the remainder at a . loss of ~iV the cost ; how much did he g:un or lose by the transaction ? Gained $1760 — Ans. 10 Divide the product of the sum and difference of I and I by ^ of | of ||, and to the quotient add 1 — (^ — I) If— Ans. 66 w ELEMENTARY AftlTHMETIC. Senior Third €la..js-aj<. Pe?yd. $20|--^r' ° °^ ^ y^'"^ ^^-'^^ ^^^^ "'orth ^^ par. of ., .. «ick ;«;;a,'?s ? -H-i'Ll'^'^' '^ ™' °'^' -'-' P". of ,he neldl cu™ff? V-Am "'• ""' """ ' "'^=" 7 How many fhird,, of 6J is | of 10 ? 2!-»_Ans it couVbe ffled'nVZ: ''" t "i' '''' '''' "' ""-^ J of filled in 24hours bv .IwT '> "'" ff™"'' '' <=''"ld be hours, and by ^'e I h ".'"-^ '' ™"'d be emptied i„ 40 hours.' In wClim t.?tt be fi,S if aVT'r'^ '" * opened togetlier? 51|hours-Ans """ "'■^ doliri,otrCnh;:t;t.E°i""''°"'- « -« JP«fo"™rc'thfn'4" ?*f'' ""'• ^^^i"' f- ^h« >™"-h '- of " n- ™<"^° 'han f of ih^. cost of the n and ^t <" Ts 0' the diam cost $7, fmd thp ,v,.f , « cha,n? Watc',$38; chain, $21 ' ■'•'""'' ^""^ 11 A farm fter selling a part of s .arm for $500. fiXiLMlNATlON PAPERS. 67 finds that ^,j of the remainder is equal to }, of the part sold, find the value of his farm at first. $1500. 12 A man bought a horse and carriage for $200, he eave A as much for the carriage as for the horse, find the cost of each? Horse, $1571- ; carriage, $42f-Ans, Senior Third Class -tJ9 1 The water in a cistern 8ft. long, Oft. wide and IGft. * deep, is ^(t deep, what part of the cistern is empty ? 1-3 -Ans. s 2 Reduce 4^ 2^ 9 o ^ , of — of — of ^ of 4acres 3roods to the 9 7 3i -i- H fraction of i ot - of — of i of 82ac. 2roods. ^f|-j— Ans. 3 The sum of the quotient and divisor is G80, the di- visor is -I of the" quotient and the remainder is the great- est possible whole number, find the dividend. 1 15559- Ans. 4 Find the value of the following airticles : 3 1^ cords of wood at $3-1 a cord, 9barrels of flour at $7^ a barrel, i 9r,bus of wheat at $1^ a bush., 20bush. of potatoes at 62*cents a bush., 18yds, of silk at 98icents a yd., 18yds. of *i)rint at 13|cents a yd., 141bs. of tea at o3^cents a lb., 221bs of coffee at 31 14: cents a lb., 90books at 5cents each, and 12quires of paper at 12| cents a quire. $159.951— Ans. 5 A man earns $11-| a week and his expenses are,$12| ■ a month, how much can he save in 12years? $5556- Ans. 6 A man sold | of his share of a mine for $12,000, then ^ of the remainder at the same rate ; find the value of what then remained. $5333|- — Ans,^ i U l t,lt^^ *; 68 ELEMEXTARY ARITHMET'c. l'0..rs, B at the rate of , le „ ^if""-' f »""'« '" •' l>alf an hour, H.,u 'on" mn,? I ' "'" "f -'l""les ,„ come together again '^Z^^J^X':'""' "" ""^^ "" 8 Simplify 9 What part of a rnrr] ,-. •, i o^ of K of ^2^,|'o?^', |--+^:r°[^ ^ove.:g„ 2 Divide ^fiiorton o ■" ' '' '^- ^d- I'>s. ^d-Am. set ys of the money, B. - ^^OlGs. 8d. £32 6s. 41/d 8 iJI03s,2Jd. . 5 A man had 5 fields the firs^ n /,'^- ^'' '^■~^^"'' -le and 2!4fr. deep, how manv cubic feet must be dug out to make it 6tt. deep? .■5024cubic ft. — Ans, 7 Edward Thorn bought of James Smith the followiiig goods: 18\ds. of silk at S'^^jcents a yd.,'9yds. ofbroatl- cloth at $:^.2() a vd., 10yds. of linen at 18cents a yd., 36 f print at l-lcents a \d., L>2y(ls. of Victory cotton at vd 12>'2cents a yd.; how much money should I'"dward '1 horn pay "to James Smith? $r>:5.-'4— Ans. 8 Find the value of a solid pile of Iv.mber lift, hjng^ 10ft. wide and lOtt. high, at sll ptr M. .f •2:')r).i'0-~Ans 9 If 83lbush. of oats aie worth .*3r), what part of a bushel can'be bought forTcents? ilji— Ans. 10 Reduce Oton^ Ku:\vt. to the fraction of .'iOtons, and divide the result by the sum o f ^4 of % and 3/ of l^-Ans. 11. A can do a i>iece of work in 3days, A and l\ in 2| days, B and C in 3 days, in what time can A, B and C together do it ? 1 klays— Ans. 12 A men ■hant bought IScb.ests of tea. each contai n- ing 8:ilbs. He paid 35 cents |)er lb. for 8chests, and -10 cents per lb. for the remainder. How nnich will he gam by sellin'4 half of it qt aOcents a lb., and the otb-'- bnlf at nrx-enis a lb.? .§225.25— Ans. S< mor Third ^ ?ass-:^l. 1 What fraction of 201bs. avoirdupois are 201bs. troy? 114 Ans. 1^^ .Ml.. 2 Reduce -?, of i of lOac. Irood lOper. to the fraction of .' ■•f 14 of 1 square mile. ■^■^ ,") {■) -Ans. The (piotitn t is 4 of the divisor, the remainder is 3 8 ■ ' « llil: j 70 tin'es ihe quot KLEMENTAKV AHITHMktic. t'.ediwXr'u;jiO:'x;r^^"-^'^-threeis49 4 Th lactory. Kadi f^ents an hour- th Ans. ere are 40 men and 24 h '^ luid man oys vvorkin^M-n a cerhi, -' --v «urK ,.„: ' ''!"'^ ^■'''^■'' K ] '"ty work JOi $9360 Ans 6 How ^iges amount to in 15week u now many times i r.f " c ,\ 6 \Vh ^^ is the di/fe f/'-'^ Atimes—Ans. °ri of if)? --.'il.-?S3SrSi??,a«i' 1 1 HDTT Ans. lain. I;>r.st. $4500; second Ir./nn \'"^'"'^ ^^'^ each pay? ^10800-.Ans. '"^"^'^'-'^0: third, $13r.00 ; founii", ^ Make out a hill of th^ fn • Jno. Smith bon.ht of d'u''^""/.; ^^^>' M 1883- ^etory cotton'at ^ 2c^ts a vH '" m " y^"' '^^i.ds. of .f;^^"^ n of Adam Bean ?i hs nf . ^^*''>V''-John Smith cents a lb- $42.77^Ans " ''"'' ^^"■^- «^" P^^k at j 1 10 Find the co^r r,f i^ft. Sin. wide, w" l"''?r"^^'- ^^^'" ^^^^ ^'n- bnf, $^8i|--Ans. ' '''"' *^^'"- ^v.de and worth .$1 ayd! 12 Ho \v m in^Uc- ^Vac— Ans. long '-^"y sl^eep, worth $6 each, sh ould be given EXAMINATI<»N l•Al'KK^'. '* in exchange for 3(J0bush. of wheat worth ^ [u r bush.? 72shcep— Ans. Senior Third riasK :Vi* 1 Simphfy - • (2) Hi-(ixi-^A) + A-^'^^- (3)i+i^+i-^>'a + l + 2j,,f3| ,V— -Ans. (I) nu^ (^) I.V.' (3) IT 2 A man is | as old as he was 'JOvears ago, how old is he? oOyears — Ans. 3 How many nevvsi)ai)crs at Hconts each must a news- l)oy sell to make a gain of $ir), his profit being j\- ot the selling price? 3000 -Ans. 4 Find'the costof plasering a room IGft. long, 1 lift- vide and 10k. high, at Gcents pur s(i. yd $5.0 H — Ans. 5 ' merchant going into a wholesale store to purchase goo(' id $3fiOd. Ke bought 120 pieces of calicoes, each containing 30yds., at I'icents a yd., r.Oyds. of broad- cloth at $3.50 a yd., 10 pieces of silk each containmg J yds,at 90cents a vd., 80 pieces of sheeting each con- taining 30yds., at Tcents a yd., 210 pieces of nmshns each containing 22yds., at 20cents a yd.: how much money had he left ? $141)6- Ans. 6 If iof If of 3| times H be divided by -|, the quo- tient mu'hi. lied bv i of I II, the product increased by H^\. and tne sum diminished by | of itselt, what will the remainder be? 4 — Ans. 7 When flour is worth $5^ per barrel, how many bar- rels should be given in exchange for 26barrels of pork worth 12cents per 3 A man's income is $82 ;| a month ; he pays $6 J a 11 k 72. a month renl. jfijoj B^.EMMXTAFtY MnrnytHTW. '-loth -'.s, .'f a vve( i^^'s anioiint to >!,ss 3'earh', h, 'i'^' and his oti ^^^r>^? ■$l:M0.25lAri,;-'""^""^"^''«:anh for ^ 'f expen- ^' •'i'lvc m •^' l)iish. or uh..^.\.l 1 toes at .*>-■-? '<'l'ushcl wn S (jf la If ^^•'leat at if;-? per l.n.l, 'V""^^i '".' '^f „'^;'0 each, .3 I ptT bush.. (»^ Dota- a of OOacris cosl ? .-^ISS'. » _ 1 A, B and ( Son lor Tlii ™- «"=0. „,,„„,„ J „, *^" A of It in Iday, ( I'mecan C do it? 9 ».<» ^'lass ;j;{ ;,-»''<> a i.ece of ;o;k can d,j J. f^f in 8d 2 S: mplify. ida\s — ..\ f .-. '^^ 't ni 2davs a^'s, A ca n ns. in what (2)|ofixXof' -L « «f ^;}+;'0f l-^i n-hii-hn^iof of XA i 5 3 Find tl 'e amount of th^ III ' •'^•' ' ^''^ '^'^-A ^^'^bush. 10(1 ns. per yd. »^<^;:^.o;Z,.';^!^^^-«':^Oper,>u at $3 per -Oacresof Iandat$32 -'4rcns I/)c\vt. of cut. Jsh. I>er acre. 99,-nivl r '^"'^' ''It ' -coidsof „.oodat$4.20 coal at ;^Ocents pe per cord. r cut. f A can do a piece of „-orI- • o. ^^ ' ^^-^^^-Ans. ■off at the e"d';rthe t 'f''^' ^^^^^^J^ bT' ^ EXAMINATION PAPERS 73 '*l 5 Multiply the g. c. m. of ^, \h U and H by the 1. c. m. of ^V, I, ^and If. jh-^''^- 6 A man buys eggs at the rate of 3 for Scents and sells them at the rate ot 5 for 9i4( ents, how much does he gain per dozen ? 2|cents— Ans. 7 Two-sevenths of a post is in the ground and | of the part above ground is 9ft., fmd the length of the post. 18iVft.-Ans. 8 Reduce iV H ^"^ M to equivalent fractions having a commoii numerator. ^H, ^U> Hf— ^"s. 9 Reduce i f, Ij and ^^ to equivalent fractions^hav' ing a common dcnommator. f ^iJ , f 2 0, Vj(F» its ^"='' 10 Six men or 8 boys can do a piece of work in 100 days, how long will it take 12 men and 10 boys to do .^ times as much work ? lOT^^jdays-Ans. 11 Fifteen cords of wood cost U^, find the cost of 36|coras. $118H— Ans. Senior Third Class~34. 1 The sum of the terms of a fraction is 46 and the fraction is equal to i find the fraction. Hj 34^— Ans. 2 A freeholder paid a tax of 'iimills in the dollar on property assessed at |4350, find the amount of his taxes. ■ $9.57— Ans. ' 3 Reduce f of ^ of lOguineas to the fraction of I of I of 20pounds. ^^— Ans. . . j:- -J-,! «rr V.ic S snns, so that l/i the share of the first was equal to f the share of the sec- ond, and i the share of ^the first was equal to twice the share of the third ; find the several shares. 1st, »12UU , 2nd, $400 ; 3rd, $300 -Ans. ■ Tr^_T- ■' Ji i 3 5 A farmer owned a hrm •>^>a .-^ • - -'f<^, and sold 9nc. 2rood of ,>'"''! '"^^ ^^^ ^'^^ods ^holedk] he seJl? ,V._Ans ' ''' ■^'^^""«" "^ the -e, 46.,ush. hiu'[^^^ t7nf '-;^^-^4oV:: l;lbs. Of oats at 4] cents per bush n f ^^^^'^-^ ^^'"'^^ of peas at GOcents per hu'sh nm%'^T'''- ''^'^^ 7 Simplify^ ■ '' "'• 3 if j| — =~ ~ "' - X 2.V. (^) w;i_of_|of^ •>^2+|^^ (1) "2|-^ ; (2^ II , (3, 8«, _^ ^ '>e other at the rate of :;5a„™' '",'*'""<'»."" ''""r and lours will the distance I,..".'" ".,""'""" ' '" '""^' ">»"' ''a'f? I'ii'/|l>"i.rs-li,s i™ '"= '■"'"'-■'■•d one-. ftXAMiNAtioN rveERs. |t, Ttl* 11 Find the value of a pile of cordwood UGfeet long, 9|feet wide, 3|feet high, and worUi $4 per cord. %7>1\\ — Ans Sciiior Third Class 35, 1 The cost of a horse and carriage is $270, the cost of the iiorse vs \ the cost of the carriage ; find the cost of \\\t cordage. $120— Ans. 2 A farmer sold 8|bush. of wheat at %\ per biwh , jmd 16|hush. of potatoes at $| per bush., and bought clover seed at S^ P^'' l^^^^'"'- '^^''^''' ^^^'^ money ; Jiow many bushels of* clover seed did he buy? 2^||jbush,— Ans. 3 The circumference of a circle is Sitimes th<* diam- eter, what fraction of the circumfeience is the diimt'ter ? h Ans. 4 'I'he circumference of a circle is 836()yds,. find the length of half the diameter. !. 330yds. —Ans.x 5 The circumferer^ce of a carriage wheel is lift, 6i(, %\, 2|and \\y(,. 4^^^ ■ —Ans. 8 A man has S27f ; how often must he give away $2/^ so that he may have ^3 of his money left ? IHiincs— Ans. 9 Find the amount of the following bill of goods ; 84 yds. of silk at 92|c*its i^er yd., 83|lbs. of butler at 16 cents per lb., 43yds. of print at 12cents per yd,, .'UJlbs. of rice at:Ucents per lb., InVlbi. of tea at f)8cent8 per lb., I 1 H- 76 ai^BMKNTARY AHITUMKrir 11 rwenty men ran H^ -'*^uo. rt. — Ans. men cease work when |i of t^? '^''^°^ ''^'^ '" ^^days 6 -11 it take the rer^^UefoU^lt 7 ^^"^ ' ^^^ '^" e^days— Ans. ^"^ '"^^ to finish the work ? n^aindetandlren\fdM I of the re- -Ans: '^"^ *^' ^^^^' '»uch had he at first ?$4 4cenL^Ar' '""^^ ^^^^ ^^- ^^' -hat will 3^1bs. cost ? • Senior Third Class-3« 3 Simplify— (l)^9guineas 3^ of 6-.3|x6 4 What is the value of siHl^^^^ '' ^^^ 'X-^ns. cents a foot? $2i2M^Ans ""^ ""^^^^ ^t 48^ 6 A man paid $J 80 for a horse 1 th. for a carnage, $33 for harness fn'l '^.' T ^^ '^' ^°^^^ "au-icss roi a whip. He naid i nf'th '^ *^' ^^^^ ^^ the ^8 he m debt? |223|-lAn. ^ ^"'°""^' how mucli 6Ei,hthorsesareworthas.uchas2.cows,andI8 EXAMINATIOTS VAfKHS. t i are worth as much as 90sheep, and 800 sheep are worth 84800, find the vahie of lOhorses and 12cows. $1260— Ans. 7 A drover bought a certain number of sheep for $800. he sold half of them for $9 per head, gaining thereby ^V ot the entire cost, and the remainder at a gam of 50cents per head, how many sheep did he buy, and how .-mich did he gain ? 100 sheep ; $75 gain- Vns. 8 What will it cost to fence the four sides of a field 60rodslong and containing 12,^acres, at2|cents per yd.? $25.66|-Ans. 9 If *- of 4-2 of 99yds. of calico are worth $12.12?-, what are i of H o^ ^^3^^- ^^'"'"^'^ • ii^l-- 41|-Ans. 10 How manv vds. of paper ^yd. wide will be re- quired for the walls of a room which is IH it long, lOl t. wide and 10ft. high, the parts not requiring to be paper ed amounting to 6sq. yds. ? 92|^yds.— Ans. 11 A boy bought lib. 3oz. of candy at l|cents per oz,, 41bs. 2oz. of tea at Secants per oz., 81bs. 4()z. of sugar at 34 cent, per oz., and gave inpayment a five-dollar bill; i.ow much change should he receive? $1.52^ — Ans. 12 How many bushels of apules should be given in exchange for 90bush. 301bs. of wheat, when 80bush. ot wheat are wrth 25Qbush. of apples? 282if-Ans. (Senior Third €lass-37. 1 A house and lot are worth $1300, the house is worth f of f of f of the lot ; find the value of f„ of | of the dt>0 lot 2 A clock gains 2^minutes in Ghours, how much will it gain from 6 o'clcok on Monday morning to "2 o'clock noon on Wednesday of the same week ? 21min.— Ans. fi, ■ iii i ! 78 nion nion 1 16.S. .3d 3 ^^'^^^^^i^^NTARv akitbmet:c: •i ^.j. ^^)Q '^) "ia> he equal to 13's o Simplify^.. (^) iSSi of V,,., „f ,, , , ,,, * "' ■< "f ,V + i of ^a 4s. 3d - • lU A hoy spenr J nf u; • * ' ^^-^"^--Ans. ■ ' '"''"^n money had • -^«'i^— Alls. • '^^'^■■' ^-'^" be bought KXAMI NATION PAI'EKS. Senior Third < l5iss-»S. 1 A man IxiULilit a vv atch and chain for Sl-'>0 ; $80 is 4 ( )f wiial he paid for th-^ chain ; how much did he pay for the watch ? $86 — Ans. 2 Seven-tenths (;f a farm a ro worrli $20'() more than of it, find the value of }{ of it.. $r)00 — Ans. 3 A hoy can walk 2 V2iniles per hour, how long will it take him to walk 26miles 2fur. -JOpcr.? iDf "-hrs.— Ans. 4 How manv village lots worth £26 15s. a piece are worth 4 tlie value of 90sheep \\V>rth £2 lOs. 6d. each? 1 Idiots 1 Ans. 5 lohn'sage is double of Peter's age ;llycars r a 20 s 14;Himes what Peter's age is now find Johns 60yr?.; Peter's oOyrs.— Ans. nv pounds of sugar worth half a cent an be houiiht for $."6.40? 4*)51bs. — Ans. john^s age was ij^ their ages. (5 11 ow m ounce can 7 Kit^ht-ninths the length of a stick is 4ft. Ion j;er than I of it,1rind the length of the stick. 18ft. — Ans. 8 Find the greatest number that will divide each of the following numbers exactly : j-\, -||, ^ and ^yyi. ^^j — Ans. 9 How much greater is 14 of >3 than Stimes y V ? A — Ans. 10 Find the value of the following goods : 26 yds. of silk at .^ .00 42 " print at 18 " linen at 3 hats at 12 pairs of gloves at 20 •' shoes at !|78.90 — An9^ 3,1 Amerchani ^Dought 2o0yds. of tlollwiU OOcents*^ 1 2 /2 la 2.25 .90 l".50 ..- ■*« wn- f?ww, •n';'*>t»f«^i w^^?Tf*'.WW?«>.'.'^ 80 )<(|of^^, - . <'-i)X(3-2|)of(i+j^ 3i; ^■.> jcords of vvoodlasf^.i' '*" ^"'^" -"-^—Ans, how m .ny cords of woodMil, , j"""^ ^' ^^l^ons of coal P^i ^ ^48cord« .- Vn^:; ^'"^ ^^'' '' '^^g a/ 360tons of BXAMINATIOM PAPEBS. 81 ,H yiJB^ir 9 Find the value of ISbush. IS^lbs. of wheat at $1.12i per bushel. $20.60— Ans. 10 Find the value of a pine plank 18ft. long, 22in. wide and Sin. thick, at $22 per M. $2/^-^"^. {!4enior Third Class- 40. 1 What is the least number that will contain each of the following numbers exactly, |, -|, H, tV *"^ i ot f r 26^- Ans,. 2 What fraction of 2days, 3hours, is Immute? 3 Divide $33 between A and B, so that B may have I r.s much as A. A $20f ; B $12-|~Ans. 4 How n>any square yards in the walls of a room .6 fe.t long, 18 Meet wide and 10|- feet high? lOe^isq. yds— Ans, , » f 6 A man travelled | of a journey on Monday, f ot ihe remainder on Tuesday and finished it on ^^^dnesday by walking 20 miles; find the distance he travelled on Monday. 1 Similes— Ans. 6 The price of oats is ^ the price of wheat 8 bushels of a mixture containing equal qiuintities of '"^^s and wheal- cost $4.80 ; find the value of a bushel of wheat. 90 cents— Ans. 7 What will it cost to carpet a room 18ft, long and I6ift. wide, widi carpet fofa yd wide and worth yu cents a yd.? $39.60— Ans. 8 What will it cost to build a fence around a field 30 di.ins lon;r and containing IBacres, at 25 cents a rod? ^73— Ans. 9 How many lbs. of tea worth 33^ cents per lb. are worth as much as 9bushels of wheat at $1.00 per bushel? 72lbs.— Ans. 82 i3- ELEMB^TARY ABirHMETIC. of the quart should each^tceiJf^^ 1^"^^ .^^^-.^ P-t fohn I. Edwin 4-^ ?22 " linen 1 '*0 " broadcloih at 210 lbs of tea 320 .' coffee lo barrels of flour 600 ]bs. of pork at at at 12 1.80 40 20 6.50 12 S641.24- Ans. Fourth Class i. 1 Write in words fhp fv^u^ • " •0136. Three mi lion nneCZ"^"';,^''.'^^^ ^^''O^W eight hundred and forty h?ee and 1"", T' "'°"^»d SIX ten-thousandths-Ans ""''''^'' ""^ thirty. 2 Write in figures th^. fxii^ • ^nd three hunS jnd J- i "J^ """^^^^ •• seventy-two •OOOOO/^OS-lns! *^'' ^^^'«dred-niilJiomhs^ 72 3 What* decimal is equal to ^1 of i o A I- ^ , i+i oT|-^ -4 -Ans. lAr-ln*^ ^-^'"^ °^ ^•^« + 3-'2-I-5x2.4+33..3. 5 A man has four fields Th« r . acres, the second contains '^-or! contains 13'215 the third contains 18 18. cre7andr 'T' ^^^'^^" ^'^^ first, •129 acres less than the thL 1 ' ^^"^^'^ ^'^"^'-^'"^ 4 four fields? .60 941acrL-iAns. "'''"'' ^"'"^^ ^"^"^^ ^he 6 Find the value of •0011ynon9. r^r^,^ Ans. ^^iiX UUU2~ -009. 000024^ EXAMINATION PAPERS 83 7 If'^f) of a farm cost .f'-GOO what would -SOf) of it cost? $1392— Ans. 8 Divide the product of ;M 01 and '001 2 by the sum of 3'21 + '0l6 + 'lrfl. -OOIOOIH Ans. 9 Divide $3000 among A, B and C, giving A .245 of the amount, B .324 of it and C the remainder. A, $735; H>!f;972 ; C, $1293— Ans. 10 How many times must 1'0021 be taken from 10.3> so that the remainder may he -25 ? JO'028-h— Ans. 11 Reduce £98-325 to £. s. d. £98. Cs. 6d.— Aiis. 12 A merchant bought 4800 bushel of wheat at $1.10 per bushel. He sold .3 of it at a gain of 5 cents per bushel, .2 of it at a gain of 7 cents per bushel and the^ remainder at a gain of .1 of the cost ; how much did he receive for the wheat ? $5t)83.20--Ans. 13 Find the value of 18-25 bushels of wheat at $1.01 per bushel ; 36-36 bushels of barley at $-65 per bushel ; 320-5 bushels of oats at $'33 per bushel ; 3684-6 feet of lumber at $12 per thousand ; 86-4 cords of wood at $3.50 per cord ; 18^2 tons of hay at $7.50 per ton and 469-5 lbs. of tlour at $3.20 per cwt. $645-9707— Ans. Fourth Class— 15 1 What traction of £2. 4s. is 13s. 9 i^d. ? j^^s^—Ans. 2. Two-thirds of ^ of 4 is how many fifths of | of j^ of fof20? 4f fifths -Ans. 3 Divide $800 between A and B so that A may have $60 more than 3| times as much as B. A $64 1|, B $158-*-— Ans. 4 A field containing 14.035 acres is 51.275 rods long ; how many chains wide is it ? 10. 9 48+ chains— Ans. 5 If 2^acres of land are worth $56 [ ; find the value of 254 acres. $614-||— Ans. .k 64 ^imEUTAtUt AWTaMETlO. 6 A and H cm r^r^ can do it in /]ve Sav? V'^J ^^^^«^k in 4 day, U ,nA r -^--wiliA^Uj^lL^^^^^^ ' Find \.\\Q cost of ,.u . . — ^A— Ans. " ^oom J8ft. long and' Sf".'"! ""= * '™l'« -"d ceilin.„< a square yard. fr.cS-lAn;™'' •■""" "'''• ''«'' "' « c?n°, 8 VVhat \s\\\ it cosf ^r. iW rvventy men in 1 9^ . '^^40-Ans. of^o'k; ho,;,C;"da sonoh "'°"" ^«" do a l>iece IJ bixteen men or 9n k ; da,. ; how lon^^if s'^TeHnt f/^^ °^ ^^^ - "'' iOfdays-Ans. ^"^ ^ <^ boys take to do * A man boueht -qoo c •2H5 of it at another ri;e H "i'"^ *' °ne time and how mucl, hadhe ^T Zif^l^^J^'^^ '^^^U o^t, f ^hat decimal Of 8ac is im on -Ans. '^^^•^slro.20per.4yds? .0469+ KXAMi NATION PAl'KKS. 86 4 To a certain number -25 of itself is added ; what decimal of the sum must be subtracted to get the ongmal number ? '2 — Ans. 5 What decimal is | of [ of 2^ of 8 ; of ^ of f? of || 300? -OIT.^H — Ans. 6 Find the value of '25 of 600ac. o( land at $50'5 per acre, 'lo of 900 bushels of wheat at ^1.12 per bushel, •2 of 400 bushels of barley at HO ceius per bushel. $8092,60-Ans. 7 What decimal of a number is 33?^ per cent of it? ,3 — Ans. 8 Five per cent of a certain number is 42 '5 ; find tho number. 850 -Ans 9 The roof of a ho'use is 38ft. long, and each of the sides is 23ft. wide Allowing each shmgle to be 4 mches wide and to lie 5 inches to the weather ; how many shingles will be required t© cover the roof? l258o| shingles— Ans. 10 A dishonest milkman adds a pint of water to every gallon of milk ; what decimal of the mixture is water ? • i — Ans. 11 A cheese factory received 242320 pounds of milk in the month of June. It required y.r> pounds of milk to make a pound of cheese ; find the value of the chsese made in the month, it having been sold at lO^cents per pound.. $2614.501 «— Ans. Fourth 4'lu»8- 4. 1 A father gave I of his monuy to his son Peter, -J^ of the remainder to his son Thomas, and the remainder to his wife ; how much had he at first, supposing Thomas got 1600? $4000 -Ans. IMAGE EVALUATION TEST TARGET (MT-3) 1.0 I.I 1^ H^ 1^ ^ m ^ U& 12.0 IL^ IIIIIM 11.6 Sciaices Corporation 23 WEST MAIN STREET WEBSTER, N.Y. 14580 (716) 872-4503 k A {./ ,> ^^ -f^i m. /A 4s ^ 4 :1? •v BG hi im m 2 Sii ^M)lify «UMENTARV ARITHMETIV. S X n " y no 4VoM-'ii-.J~00ox„„,,. ■■mi of ^^^^^H^ " 1 en COU'JK rr 'In I o A grocer houtrlif ]9 i y A bankrupt pavg .40. ., ^^^•7'>— Ans. turns „rhc°':'; "■? » -indlass is 4ft , *'-^^'^-Ans. l>eini{ 22 5 Lr'"."''-'''. '» wind half i,,""*' ^ ''°'*- "'any 11 .,;' '"''"•■' '" -circumference? f, ':'""• "'= •■'xle ^ J-t i he avcnurn rsf a ^ ^H- turns— a r... "umber, e'esiil'"^ ^'^^ fi^'h is .r t/T^' of ^ns. .' '".'Q tne sixtji ..Suff^^"^ EXAMINATION PAPERS. 87 -Ans. '<^"- ho. 20 'je taken ^ Worses I ' and 36 inches > sq. ft.- ohhem ^ ) how —Ans. iiiany e axJe \^^ "■'13, ige of ■sixth 12 What is the greatest possible remainder in dividing byl8-*9999? 18 -Ans, Fourth riass-5. 1 Two boys run a foot-race, and one of them gains 2 yards in every 132ft. ; how much will he have gained at the end of a quarter of n mile ? 20yds. — A.ns. 2 In how many hours will the minute hand of a watch have moved 100 tim^s the distance moved by the hour handinlhour? S^hours— Ans. 3 How m?ny pairs of boots at $2.50 should be given tor 2 tons of hides at Pcents per pound ? 128pairs — Ans. 4 How many yards of cloth f yd. wide will be required to line a buffalo robe 6ft. imches long and 5ft, Sinches wide ? 7j''-^yards— Ans. 5 Find the total cost of ; S3^ yds. of cloth at $ .345 per yard. 18 "lbs. of butter at 20 cts. per lb. 3 cwt. of beef at 8 cts. per lb. 6 tons of hay at 60 cts. per cwt. 84 sheep at |16 a pair. 1800. 40|— Ans. 6 If 2 men in 6days of 8hour8 can do apiece of work; how many hours per day must 3 men work to do twice as much work in 6days ? ~IO|hours — Ans. 7 A newspaper contains 48rolumns, each 30 inches long and 3inches wide ; how many square yards will 10 copies of the newspaper cover? lG|square yards. — Ans. 8 The imperial g.allon cont.iins 277 '274 cubic inches. A boy fills five lamps out of an imperial gallon of coal oil and finds that the oil left exactly fills an oil can 4 by 4 inches, and 9 inches deep ; how many cubic inches does each lamp contain ? 'JG05J8cubic inches— Ans. 1 I Hf H'. «f? Hill B8 t.i BI-EMBNTABV .»RITHMETIO. 9 Find the value of 30ar q^^ o« Peracre. using aJiquotpam ^643^ 1 7 'V^'^' ^^«- ^d 11 Find thecoRfr^f^ • • '^^i^.-Ans. room 34f, by 26? "'s^c"" s"Lr ! ""'"^^°' "' ^ "hool- 6cotbe,n,4ft. 4incheshtTanfH''''-''''^/^'-<^' ,he wain, each 3ft. wide. $2. 74.j!!!l'"-^ "'^■'e ^e,.^, t„,o doors - Ans. ^^"a^ to .33^ per cent ? «« i ', ^ A man has 250 acrpc ^r i ^ -.on.;how™anya;::,lt-eft^./^"'J'*P- ti„i^7„r^'-"3,,erce„eiu;p;;;!::r:- <'li+^ Of .J, p ,4+1 of 4) and 40 pe, „„, much did he -^in ' ^ ^'^^ remainder n. '^ ^^ ^ ?-4n5, 5^17 per cent of "^nsaction? $123— An M.rpber is |, find (j,^ .. Wow IS. EXAMINATION PAPERS. o« 9 <. book was sow fo. $3.50 and a gain of 25 per cent realized ; find the cost. $2.80-Ans. 10 Ten per cent of a number ^ added to '^-^^^^^^^ 10 per cent of the sum vs s"W'*"'='^'j,'fl'Ans of 18 ; find the origmal number. 18^ Ans. U A number increased by 120 P- -"* of >tself amounts to 176 ; find the number. 80-Ans. 12 Sixty per cent of a number is grater than stxty-stx by 264 ; find the number. 550— Ans. '13 Seventy-five per cent of a number .s r ater_0^an 66 per cent of it by 96; what is the number . ronrth Class-T. 1 Twenty per cent ot a n>"»b« •*"? ^^^f ^h'e 'seco^'nd ^,ent of another number amounts to 72 »-• '^^^^^^^^^ number is greater than the first Dy *" , ■ ' '^T^^^umelor of ^^^l V^^^l^.^elt jiominator and the sum of the terms tion. T^oV"-^"^' 11;. f-nft npr cent of 3 The number of pupils .n * ^choo^^ COO pe cen'^^^ the number in the «-' ^ ^s and Ae n. mb^r^^^^ ^^^ class increased by 10 is ff P^'o'pik-Ans. many pupils in the school ? 120 pupus 4 An agent sold goods to the .oun^ of $7000^ and received a commission of 3 per cent , <:ion $210 — Ans. ^ .. 5' Find the sim_ple interest on $800 tor 3 years at H ■ % T^ ir°s «r are added to Sgallons of wh. j what per cent of the mixture .s vater? 5h P^- — Ans. 90 1 i 1) ELEMENTARY ARITHMETIC. 7 How many gallons of water must be added to IG gallons of wine so that 80 per cent of the mixture may bewme? 4gallons— Ans. ^ 8 What sum of money will amount to ^99^ m 2vears ' at 5|- per cent, simple interest ? |900— Ans. 9 A lady spent 25 per cent of her money and then ^5 per cent of the remainder. She had $90 left ; how much had she at first ? $160— Ans. 10 How many barrels of flour can be made out of 800 bushe s of wheat, when a bushel of wheat makes 51 pounds of flour? 208^^barrels-Ans. ^^' "''^^^^ ^^ U The difference between two numbers is 20 per cent nwf/; '"''' '"^- ^ r' "'"' ^^ '^'''' P'-«d"^t ' ho^v many tunes their sum is thtjir product ? 24 times— Ans. 9i? ^f^!;^^"^^^ n^o"ey will produce $260 interest in ^years at bi- per cent, simple interest ? $2000-Ans. i oiirth €Iass-8, 1 Twenty men can do a certain fob in IGdavs A« the end of 4days 10 men cease work and 16 boys beein work ; how long will it take the boys and remaining m^en bov? Ur ^'^ '^V'''' ^^'^ ''"'''' ^' ^^"^^ work as a boy { 13^ days— Ans. 2 A box of candies lOinches long, 4inches wide and 6mches deep IS worth $1.80; find the value ot a box 6 inches long, 4inches wide and 2|inches deep, filled with the same kind of candies. 45 cents— Ans. 3 A coal dealer bought a quantity of coal at $6 ner on and sold it at 45cents per cwt, gaining thereby $33 how many tons of coal did he buy ? lltons-Ans. ' . 4 At what rate per cent, simple interest, ^v\u ^u^ ,•« 1900 amount -Ans. $300 in 4years ? 8^ per cent KXAMINATION PAPERS. 9} ' 5 At what rate per cent, simple interest, will $600 amount to $720 in 3years? 6f per cent- Ans. 6 A brakesman runs at the rate of IHiyards per minufe, oh the top of a train wh.ch .s runnmg a rate of a mile n three mmutes. At \%tot rati^ ib uii. r' ke'nnn moving, (1) when he runs in the same cirec- on 's i e tmin,- (2) when he runs in the u„,>os,te duec- 'io;;r l)24™ii«»l^<'"''(-) lOnrlk-s an hour-Ans. 7 A ship with its cargo is worth $200000 i of the caL is worth i of the ship ; thtd the value ol the car<^o. $60000— Ans. 8 \ man sold his farm for $6500 and gained 8 .per centofthe seUing price; what did the ^irm cost Inm ? $5980— Ans. 9 A horse was sold for $U4. Ila.! he been sold tor Sllu'deight per cent more would have been gauged , find h.s cost price. $120-Ans. . 10 If 1-Uyards of ditching cost rlrents; what will 8 tods -ivds cost? S2.30-Ans Fourth Cla^s— tf. 1 There are 10 cubic ft. -in a hogshead ; how many ImpeJial gal. are equal to 1 38-637 hogsheads ? 8640 Imperial gal. — Ans. 9 A cistern is 12ft. square and lOtt. deep ; what deLfal ofthe cistern is emp.y when there ,s a depth ot 4ft. of water m It ? •6— Ans. 3 A laborer can excavate 9cub. yds. of a cellar in a dav • how long will it take him to excavate a cellar 33ft. f,"„l' 27f' wide and 6ft. deep ? 22days-Ans. 4 What will it cost to floor a house ^l^-^^^^) ft. wide with lumber llm. thick and woUh $21 per M. :' $'2T.45| — Ans. M mam in m n 92 %. ■ii: I F ElBMENTAKY ARITHMETIC. as much as B and C «10f^ I Y ^ „"^>' '"^™ '"'i'^^ «525, C $425-Ans '' """ ^ ^ «'050, B ofairma mi„«e ; i„"wtat ti,,^ w HtU brearte T• much a.r as the roon. contains ? ISminuteT-Anf equals «T ^^f- ;;""-«d by 30 per cent oi itself 11 Divide a third of one-fifth by | of f 3^- Ins isfl'^wfrfwlrhX^^frc""^ v°°"i ^«^'- '-^ -^ per yard. $3G_Ans . ""*" ''"'^ ''""'' ^^-^^"'^ Fourth Class- 10. outL^o'^f a%r ™l.^ at: i^1cl-rr '^^ 4tri^o"jd";^tL* ^^thefr i^'k*_f-r 3 Sixteen busbs. of corn worth 75rK r»r k., k mixed with 14bushs. of oats I" h /let n^bu^h 'fi".! the value of 3}bushs. of tl« mixture |2';6||-aL ^ A merchaiiL marked his goods so as tn. o-.:,,\. An cent if sold for cash, and 50 per cem if olf n T' An article is marked $3a cr^edit find iK l^h ''■''^^'> $30.«0~An& ^reaiu,. nnd its cash price? EXAMINATION PAPERS. 93 B Find the amount of $40 at -H l-- «"• -»'P'« '"" terest, for 2yrs. and Imonths. $45.13^— Ans. 6 Mary's age is 40 per cent o^l»n«'«»ff^^^ •■•";' '" ^6 years from now the sum of the.r ages will be -jrs , hncl Iheir ages. Mary's 8yrs ; Ja>-.e s iOyrs.-Ans. .lef^SSlfV^e^i^ir^r^Kifi . SSddre p^ce ; find the length of the pencl. 4,ns. — Ans. . . .p. OK 8 A man spent -2 of his money in buymg a hou^e 525 ot it in buying a farm ', he had $1210 lelt, now had he at first? $4400-Ans. 9 Find the cost of ploughmg a field ^Ochams Ohnks long, and 15chains 2rods 5yds wide, at $2 per acre. $63/22^— Ans. « • i nf 10 What o'clock is it, when the time past 6, is i the time past 5? Half-past six -Ans. Fourth Class-ll ■ 1 Find the interest on $1300 from Dec. 21, 1881, to June 29 1882, at 6 per cent, simple interest. $40.60^ ~'9'sixtv bushs. of wheat and oats were sold for $41 50 2 Sixty Dusns. o ^^ ^^^^^^^ ^^^ ^ h., t:J^yt2:TAor. soldP 35bushs, wheat, 25bushs. oats— Ans. . , , ■ „„,;,i 3 Reduce a wi.e gallon to the decimal of an tmper.al ' 4 How many-yds. o/ cloa. wort^ ^f ^^^^^^^^^^^^ be given in exchange for 42barrels of flour at 4^cts p pound? 2058yds. -Ans. k 94 I.I > fi ■A «l-':UfiNTAl of the sa,ne week ? 4->.m"; n ' "?/'" "" ^^'^dnes- ^i- lon,ancl' l^:'^;:-^-ns40colun.ns each 2/t ^'^^ floor of a roon, mt' Z '"'^7 ^"P'^^^^ will co;^* 20cop,e.s-An.s. '• ^"'^- '^'"^ and 12ft. Gins, wide? J^indtheaverageofGi, 3 4-5 o. , * ^bit ^'^go^iilr;^^ ^^;|^'- ^han water, how n.anv ^vaterre^juiredtofillaX'^Vr ''^"^ '^'^ amoun "^ ^^ep? JOOcubic ft.J^Anf ^' ^^^^^reand 19ft. fiinf 9 Find the total m^t r , wood 22ft. Ion- \rU \ °^ ^^^ following • a •, ^ cord, 98bush lOlbs T^f ""^ «^- high^r^ ^o' "^ ib.. ofhava\N« "^ ^^'''eat at $1.20 oer 1 i^.n''^'' - *ts. per peck^:' le^VsT-iTis''''^"^^^' "^P-ati^^^^ 10 Find the valu" of n ^ ,. chains wide i^«in '^ ^^^^ 20chains Ir.^ ^^lae a. 110 per rood. $1440-!Ans ^^^ ^^ *'«"'-tIi Class -ig. J. Wow lonff will i> f^i of land 22,„(|f3 ion^and 18 "T" '° '^^"^ '"™c' a block J 1 he greatest comn,^ ''T^ays— Ans. 2., , hnd the other number. 2^4 1" ^'^ ^^"^ ""'«* .* 5 Afnn. — -^'^^r number. M^^..: "'" ""'"* «• -T- tour OUtlfP Xxro*-„T -'i "^"a. f^r fine; find tl e fveth? of '' "''"'^ "^ ^-^ing silver ^rVounces-Ans. ^'■' "^ P"fe silver i„ the cis^ EXAMINATION PAPERS. 06 4 If 20i-nen or 3t)boys can perform a piece of work in 12dys. of 8hrs. ; in how many dys. oflOhrs. will l.^men and ISboys do the same work? TJdys.— Ans. 6 How many rolls of wall-paper each 22yds. long and l-yds wide, will cover the four walls of a room IGft. long, I2ft. wide and 10ft. high, the pans not requind to be covered amounting to 12 square yds? 3 .^if.V''"'^^—^'^"^- 6 Divide | into two parts, so that one* part may be greater than the other by ^ -/r and ||- -^ns. .7 A watch and chain cost $S0, the chain cost ^ as much as the watch ; find the cost ot the watch. it?bU 8 By what number must 4^ of A be multiplied, in order to give the same product as | multiplied by f . -A — Ans. 9 A and B can perform a piece of work in 1 '^<^ays when they work 8hrs. a day ; A by himself can do the work in 15dys. of lOhrs. In how many days of 9hrs. can B do it ? 29| ^dys.—Ans. 10 In a mixture of wine and water ^ of the whole minus 50quarts is water, but i of the whole plus 125 quarts is wine ; how many quarts are .there of each :* (0 water, 175wine— Ans. Fourth Cl;tr>-13. 1 A crew can row down stream at the rate of a mile in Smins. and up stream at the rate of half a mile in ^ After rowin^r down stream for IGmms., how long I the distance? 14H mins. will it take them to row back mins. — Ans. 2 An army was reduced 5 per cent, then 6 per cent ^nd then numbered 44650 ; how many were m the army at first? 50000 -Ans. 96 Bl-EMBXTARY ARITIWBlTia ■•nd the last half at thT ;ate : AW""''" '""'our »econd rows j of the course at thf"'.'" ?" '"'"■•' 'h^ hour and the remainder at the ' , 'T. "^ 'Smiles an which w,ns, and by how much, -n °?"'''^^ * '"'"^ J -Ans. "^ """^h ? The first by I|mi„s,' much'^foTZ'hot'a: tThr^t ™^' i?7'"^ '"'-^^ « cent more for the horse anH in ""^ ''^ P^'d 5 Per |".IbL^l--'^ ^- - V«° -^a^^^^^^^^^^^^^^^ O Three men start >»*■ tu «nce of a circular is I„'d anV'tTa'i,'"'"' '" "'^ '^'>'="™fer- « ''rst of how much interest should hf?! " ^ "■■" o*^ October • •year? $27}ji_Anr ' ''"''"^ "' ">e end of the' cumfere'n\fS"^4'^'°fi''°™™otiyeare 19ft. in cir- long will the locomo^ve be t ':r '" ''''°"'^' • h" v Slmins. S-Asecs.— Ans """'"S^ BOmiles ? ihr 1 A m K , ''""••«•« CIass-14 •I A man bought t iin... j cost of the carriage p\s iioT/ ""'T^^ ^^'^ ^^i^O, 1 the 9 J% sV and 11 _A ns. equal tp 1. \ EXAMINATION I'AIEV. 97 3 Fnul the least number which, ^^^^^f'^J^^^^^l and 40, will give D for renuundcr in each ca.,c. / ob J '' Tu the strength of a mixture of 20.irals. of wine and liaals. of water? UJ-'^"'*- ,. • , j k, « ■ 5 Tninvthree per cent of a number *"»";;^hed by,, o. ihe number i» -2500 ; f,m\ the numhe,i 10000--An.^ 6 Divide $20(10 among A, B, and C, so ■■>» '» gl« f ■ $300 .lore than A, and «200 less than C. A »400, «700, C$'J00. -Ans. , .-,,,, .f, ,05 7 What decimal of Sounces troy is J of a dwt . 1 -D -"s'nd the cost of pulling a field of fl-,^!^^^^;'*- f rods long and Uchains 2rods w,de, at $4.20 per acre. ^'H^Wht a number of cattle at »30 a head an^d stlXr-tt o^^X^^Z^-io^^^ $600; find the number of cattle oouj^iu. "10 If 300 men can perform a piece of wo "}^;}^l how long will it take half as many men to do - ..•> ti^es as much work? 178days-Ans, . 1^ ^V^'^tt tt'ri:^ .rornTn ;Tnfrre :;r;-t'shrarhalf;asrth.L the same day? Hmins. to *-^"' Fourth Class- 15 1 ^Vha, ptincipal w,ll amount to «18^4875 i^^,^2yrs. 6 mos at 34 per cent, sunple interest r *. 1 ^■- "2 A man walks 22yds 2f. in ISsec. how many miles per hour is his rate ? 2«miles-Ans. I iL 98 la aEMBNTARV MmUMETW. .»^eT:s;i=:fi-r^^^'^''^-u'> 4 Jf 't costs $2..no t Ans. square, will ^vhose four walls Zi^'l 'nK'''''}^'^ «oor of -g-:regare 64ft., the 1 more than the v.idth ? ^-S 50 •^ns. c'n.rth a rojii) Ijein-r -!((_ ifth '>y the oth cr It uucn nines hnmrp ,, ■ 't can |,c filled can be empti'ed ptied in 41; in Ans. pipes bei,„ jp- ;i 'a; ,,-':: -"j;;,^'? "";-c. rs. '"L- ? cShrs. hv i7"i";r "-'■*"■'" iter S7;i ^ Find the cost of the following .-, oy .barrels of flour •^^ «-f 1-tonsofhr ' --"tsperlb. 30 fathoms of cable ^^ :^^"^"^^ P^r cwt. ^•^2feetnfd,r;!in..- ; '^.r^^^^'^' « ibs. 4o.. ofcandy^i tr^^^'"' E.. ... $84o.09-An« •493wfr' i^'- ^^^- ^° t'^e decimal of « • *jjooi-f__^^„g uci^unai of 8 guineas. quare, will S^nd 12ft. <^^ a rojin being 4l(. - filled m in 4lirs. ; filled l)v ''•e ; liou' :lly co'-er J reigned o4yrti, EXAMINATION PArERS. 99 -'^' uliic.'i training Jti-dui'/? ■— Ans. lineas. ^ Find the v alue of 6acs. .3ro. 20i)er. of land at £9, 18s, 6d per acre. ;^68, 4s, B^d-Ans. all soft long, 6ft. high 3 V/hat will it cost to build a w and 1ft. 6ins. thick at 2icents per cubic foot ? $18— Ans. 4 A, B, and C can do a piece of work in 16, 18 and 20 days respectively ; they work together at it for 4days A and B h how lo ng wi 11 it take C to do the len A ana a leave ; now remainder of the work? 6|days — Ans. 5 If 8 men in i6days of 9hrs. cav 1ig 8 rods of a trench ; how many rods can I'J men aig in 20days of 8 hrs? ll|,ro^s — Ans. 6 A book was sold for 40 per cent .more than it cost ; the sum of the buying price and selling price is $1.92 ; find the buying price. 80cents— Ans. 7 How many bricks Sins, long, 4ins. wide, and 2ins. thick, are required to build a wall 30ft. long, lf)ft. high and 16ins. thick? 16200bricks-Ans. 8 A telegraph pole casts a shadow which is | of itself longer than the pole. The length of the pole and shadow is 4°9ft. ; find the length of the pole. 21ft— Ans 9 A telegraph pole stands 4ft. in the ground, a sign- board is nailed on it (12ft. from the ground), which is | the length of the pole from the top; find the length of the pole. 24ft.— Ans. ' iO When cheese is selling at ll|-cts. per pound; how much can be bought with the money rec-ived for 20bus. 301bs. of wheat sold at $1.60 per cwt. ? 171^ybs-Ans. 1 A g-ocer mixed 201bs. of tea at 40cts., 301bs. at 45 cts., 25lbs. at 50cts., and 80lbs. at 35cts., and sold it at r)5cts. ;. how much did he gain by the transaction. $23.25 —Ans. '^'i I I li .ml 100 2 A man i ofit by .|i;u . i^^J\l LEMENTA money. RY ARITHMETK iofh Ans c amount of hi 3 Mow oft 's money, is greater than money. |30— t'n can a man give awav •> times -Ans. of h IS monev ■ and have | of it left ? ml'*- an l.our on th oad if '"i ',' ""' ™"= "' 33 '"^ket. $;).n73--Ans ' '"'"'' ''"' '"^ P'-'V for his f"d 7 P«r cunt for S , „m ,1 fi' .l T"'- '"" « "'™'l'^ lent $800--Ans. ' "'"^ ""^ '""O'lnt of money . '^'J^ 'ong ? i 760-A,ls. '"^^' "^^ ^'^ ^^'"^^^^^ ]- of a 7 In what time will a sum ^r put on interest at 8 ,e '' . "?"'^ ^°"^'^ 't-''^'f 'f , —Ans, ' ^' ''^"^' -^"^'Ple interest? lL>^yrs. and >:,t.";Sp "'h'l:""^-^ ^f^- «-• l™g, ,r.in.s. .,,e '■'? ''^S^'l. fe-Ans ^ "■'"''"■'' •"'• "f 1«I><='- -ill line tl.e^^n'on£';,t - «• but only half ., old as b co'°to'crrry"i7.:;^';^tnlsf 't/rf:^^ »'- -" i' 11 A man lost a five dollar hill • m, ""^' • , monev is ss nf «•!- * - V"'!^'^ "'" > the remainder ,^f u.^ Jiadheatfirst? |(l;)oJins '''' "''"''' '"^^^V pai( the age 4 ma thr 1 bil the cei ag of be th 1! r( W V IIS money EXAMINATION PAPERS. ^^ Fourth rla^-* «**• 1 Find the simple interest on £800 for 2l9dys. at 3^ percent. £16. 16s.-Ans. 2 MrirrisonoflSOOOmenhad P^-^^:'^!""^ ^"'^ '^^j^'o .t?he end o 30dys. the garrison is reinforced by f 00 men; how long will the vemannng provisions last? 9 "^'H'torse .n.l carriage cost 8450 ; had $40 more been .- three is 625 ; f,nd the dividend, .>0«-5 ■^"'>■ 5 A customer,,, paying .or S-f^/-^.^ S^ ^h" ;;;^';^:';r^^^s'rHor^<^:^^"Hon,dhere. ceive-^ S2.50- Ans. , . r i - 6Amansage,sdoublehisson.andlia..s^^^^^^ age, and the sum of their ages is lOlyrs. , tina of the grandfather. 92yrs-Ans. 7 How rnnny l.ushels of oats «' «cts. per ,us nn,^t be n„xed w,th SObus. o i.ar^y ^^[T^. the entire mixture wor^h %ib f -vjdus. 8 What,eng,hn,u. ^^'^^^f^::t.^'\t^^. ISins. wide, so as to leave 1 2fl. ol ■" ""'-'^ 9 Seven horses are worth as ,.uch as ~- -^^J cows are worth as much as 5sheep . ^°J\™f ^ worth as much as :)horses ? iOs.ietp FourtU «!lii«s l'»- „ , lW.niam.Joh„anc,K,Uva^.-^^^^^^^^^^^ William paid acents, Jolin I -cents, .uiu Ji il- 102 ELEMJ^XTARY ARITHWKTK; hosv many apples should each John 48, Edu-ard 32 2 Divid ■ A ns. receive ? Will ^^'o hundred and twenry-fi.e tho ^ '^'v'^Je two hundred am five tenths and muhiply ihe qtiotient by iam 20 iisandths by sandths. •0009— Ans. duct diWdS'r.^tj^L'Tel^l.rt""''''' "^ * '^"^ ''- p- fi"d the fr.,ction. f|i-Ans ''""""' "■'" '^^ H- at ti':"m^. 'h'e raid''!'" "' ""' '' *««»' '^ "^^ -<" ' P°""ds did re„lt,'|S'ra';;;t,urTan f'^r^'y '"r repair., and money be worti, 9 ' t" L 'f ^'°°'> <=''^l'- If the owner of the hi' ,e S \\ '""" '^'^ ■■'"""™ >™"ld would lose $9^-.-\ns. ^ '"'<= ''>" »'="'ng it? He Ans. ^ ^"^^ ^o*^ the farm ? $4500— required fori mile of railroad?" om..:;''.'^ "> ^^P^'t 10 Pens are \v cts each, find th ere bought at $1 ns. e gain on 1 OOpe 2113ties— A per gross and sold at -^ ns ^icts.— Ani KXAMi:?ATION PAPERS. loii Fourth Mass -rJO. 1 A farmer sold liis wheat at §1.20 per bush. ; liad he Bold it at $ 1.22 per .bus. he would have receive d $10 UT 're how much wheat had be ")00i)us. -Ans. 2 .A field 3(trods long arv 1 2i»ro(ls wide, produced oO bus ot wheat per acre ; how many bus. did the h.ld pu> duce? ll-Ubus.-Ans. 9, A man put $1^00 on interest at 6 per cent on the fii ti IZC He saved $500 during the year ;lv.w Imich was he worth at the end ot the year? ^iUO- ^ I Ten feet of a certain kind ol wire weigh a pound; r,nd the weight of one inch of th. wne. 2tT'"-amb Ans. ■ o \ ■ ^ A clock which i;ains20mius. per day is 30mins. too J:t9^^ckinti;;.mornn.g;h.wnuich^ nt Oo'clock in the evening ? 40imns.- An.. G A grocer mixed 90lbs. of lea at OOcis p..r lb. with SV.s atGOcts. per lb.; for ho.v much per lb ^ u.t he ^ar^enLtire\n order to gain :|0 per c^^^ kind of tea and 40 per cent on tne othei . /o,,cts. ^ T What is the least sum of money, wuh ;;";^^'^^^:;f ^ stamps ot the denominations ot i ct., let., Jet.., 3as., ;,cts, can be bought ? 30cts.-Ans. ' 8 Find the amount of the following bill ot goods :- 20vds. of clcth at$1.12|-peryd. 30bus. 20lbs. of Wheat at 90cts. per^bus. 3c\vt. of beef at dcts. per .o. Icwt. offlour at $6 per brl. $TG.86^^-Ans, lOi KLKMENTAKY ARITHMETIC. m I- Ik Hliat number? ; A^s ' "^^ """''^^^'" ■« I <•'" receive both its value 'ill ' '' '■''^' ^'^^' ^>"-"^-'- nmv wha.su. did be Sp''ys;sr^;,::i--t. d An agt-nt sold 600 biiTpU r,rfl «, ' .ind received a <:o,„,„i "on „ 'f' ■"" "' *^ '^'^'' ''''"■'•'=1 .-.mount of his commission aDeJAnr "'"''' '"'"'' "'^■ ""-ion being 2 pe,- ^.^''-rlVllbL^et'l't ^'^"'"'^ ™"'- 5 A broker sells a bill r^^ ^ \ l>'» broker.,,. ., j^j''^^^'^ ^^^fgrC" *"'" ^ """ at fi-perc^nf/lor Cow'tdf *' '"^ '""'^'"« '''» ""'- «533)— Ans. ' ""^'' "'"^ 'I"-' ''ouse insured ? 7 An agent received "l^oA/in -.u • ^'■.^ar, .afte°r deduc int it! '"' '"'""'■■'<""'< t" invest in pi.t the n,oney on interest rf""" f ' ''" <^<^"t. He "nrf the sum of the intern,, and ,'"°""' "' '" '^'^ =»' i —Ans. "iterest .ind commission. Hins? 17.^ft. — Ans. 6 A house 36ft. long, 2r)ft. wide and 17ft. high con- tains a room TZft. by 10ft. and 9ft. high ; what part of the house is this room? g*»j — Ans. 6 A man sold a horse at 30 percent gain and with the money bought another horse, which he sold for $124.80 and lost 20 per cent ; find the cost of the first horse. $120— Ans. 7 An agent sold wheat on a commission of 2 per cent and invested the net proceeds in tea at 3 per cent com- mission. His whole commission was $97Yf ^ ; find the value'of the wheat. $2000— Ans. 8 A person bequeathed $20000 to a college to become available when the principal and interest amounted to $35000. The money was lent at 8 per cent, simple interest ; in what time was the bequest available ? 9|yrs. — Ans. Fourth (^lass— S5. 1 A, B and C rent a pasture field for $80 . A put in lOsheep, B, I4sheep, and paid $32 as his share of the rent ; how much rent did A and B pay, and how many sheep did C put in? A $20, B $28, C IGsheep— Ans. 2 If I gain 20 per cent by selling sugar at $12 per I ,. .i: 108 cwt. w hat ELEMENTARY AniTHMKTIC. per cent would I gain by selling it al $11 per cwt. ? 10 per cent — A 3 A merchant bought UOOyds. of doth for «1l>(), and sells 40 per cent of it at 90cts. per yard and the re- mainder, which was damaged, at 50cts. per yard • find how much per cent he gained or lost, (iained 10 cent. — Ans l)er 4 At what price i)er bushel must wheat be bought so that It may be sold .t $I.17;J per bus., and a gain^of 20 I)er cent may be realized ? 98cts.--Ans. 5 How many fifths of a pint in a measure which holds i o f a gal Ion ? 1 5 — Ans. 6 A woodshed is 22ft. long, 16ft wide and 12ft high; how m any cords of wood will fill it ? ,'3;k()rds-An pound ; find th( 7 If pure gold is worth $240 per ^ ^, value of the alloy in 2011)s. of standard gold, whiciris'L carats fine, and worth $4r,00 ? .SI 00— Ans. 8 A stick of timber MOft. long, and 20ins. by 18ins weighs .'JGOO pounds ; what must be the length, of ano- ther stick of the same kind of timber which- is 12in.s by Hins,, and weighs 1200 [pounds.? 4r)ft.-.Ans. Foi»rtli <^lass— '4«. 1 A man lent $1100 at 8 per cent, simple interest to one person and, at the same time, i$l200 at 7 per cent simple interest, to another person ; what was the ditTer ence between the amounts at the end of 2vrs. (Jmos > $i)0— Ans. 2 If 84bls. of flour cost $672; what will I cwt. cost at the same price ? $2/(,-Ans. 3 A lady spent ^V of her money and had $99.40 more left than she spent ; how much money had she at first ? $119.28 — Ans. _ ' " KXAMINATION Pa PICKS. 101) 4 Ten horses are worth as much as lOdshcep, and sheep are worth as much as a cow; find the vahie of 00 horses when a horse and a cow are worth !$150 ? $0000 — Ans. 5 Coal is boui^ht at S9 per ton and soUl at a gain of '■iO per cent. At how much per cwt. is il sohJ ? -"ilcts. — Ans. 6 A and I', fire 10 rounds eacli at targets, A fires 4 times in amins. and li twice in 'JOsec ho ,v many rounds will A have to fire, when li !ias finished.? 1(> rounds lUS. 7 A stationer bought pens at GOcts. a gross and sold them at a gain of ] cent ea( h ; find the selling i)ri(c. r, cent eacli Ans. 8 A man "bought a farm with fiO per cent of his mon ey, and spent ^\^ of it m making unproven num ts. lb had $2700 Icit ; how much had he at first? $9000-- Ans. 9 What is the value of an inch board IHins. long and 4Jins. wide at .If 18 j)er thousand ? 1 i}^tCly..- -Ans. I'ourJii t hiss -«1. 1 A man sold his farm at a gain of S per < cut of what he paid tor it ; the sum of the buying price and the sell- ing price is !$ 111148; find the buying price. $5600 — Ans. 2 The passenge's and crew on a certain steamer amount to 'MO. The passengers are 40 more than four times the crew ; how many passengers were there ? l'G4 passengers — Ans. 3 A yard stick is broken into two parts such that | of one is doul)lethe other; find the length ot the longer part. 29 j''5j inches — Ans. Ill) KI-KMKNTAHV AHITU.Vf KTlr. 4 A person houiriit .i r,ri„ f^r ^ruwu. • CM at ,i ,„r cent „„ the ,„ .ney t ' l,e ?y,d "h'*' "'"' ','"^■'•■ '-t of oak ,ve,,„,s oop::,,:;,:'" "^-t; ,t::" •""' ^ ^'-"^ •^^'yds. of silk 88yd.s. of iinen -HJyds. of I)roaclcl(nli -Olbs of coffee 2c wt. of pork '^0011)s. ofhnv at UOcts. j)er yd. at 20ct,s. |,er yd! ■It .f L'.no j)er yd. ^i I^icts. per lb. at $2 j)er (juarter. at $S j)er ton. m'i. r , '"'^''^ ^t .)lc s. per 1) '^pks. of wiieat of <}:% ^ ' , ' |Ib.<>M>ar.g..een " ^ ;,^^^ . $12;Uoy.|_Ans. H..' He'r,d''3o',!'r,t' TuT"'': "' "^'^ ■-" *^'«»- -- l'<'»"'i '""St he sill the "em nH "■"" ' ,'" ''"'" '""'^h '" cent on the «hole cost ? «c"s Iahs '° ^"'" '" ''^^ .>.e a,„ot,„t or n,oners:°";r '°«;^;. ,^1" -"' • ''- I'l' /at™f" thfh^n!:"!: t^ t, '' •^'^"■'"- ''^ •^^'-^f'- •^5Mj,«atheva,:^:r;at'.°y^^oc/^^^^^^^^^^ th* stlm t""!,': t!rfo,"" '^^ ll"""-'- Si^'times '-«.); r,no*-„ !.vidtf",™:?|,,';^^^[,f>'- '^-r sum "eLy? KXAMINATION I'Al'KK^ 5 A merchant's capital increased K' per ce n III t the tii-si year he was in business, 20 jR-r and 45 per cent the third year how n.uc h had he when he cominenced business cent the second year He then had $1100; ,l 5 i per cent — A ns •iin a II an give away i of j « ^^ «•■{ ; find tli( At til 1 1 P^T cent of it left? put $800 on interest at 8 3 A n agent receives a commis.^ le uivests. He bou-dit th e amount ol his com r).lOh or ■^'"'1 *>'",/.„ of the money •ses at $!J0 a head ; find 4 Ift ol a farm be worth ^2^ niisston. $495— A ns. '^'^0 ; find the val per cent of the remainder. $;]00-A ue of 8 room ''^cts. a s(juare ong, i,^it, ;v,je ^^,^^ yard. $U.40-Ans 6 If 800 oranges be sold for what 1000 .. . , tlie gam per cent on the -ost h '°'^ ' '^'^'^^ '« -ts. per dozen ? 25 per ccnt-^s!'''"'^ ^''■"^^" '^^''"^^^ '^« 7 Jiy selling a house for linOnn f ul^at selling Vice u^^d 1 '!f . XT' '■''' '^ '"^^ ' |/.']a:]..;;3i_^^ns. ^ "'^''^ ^^''^ Per cent? f 8 W lat si»m of money will mos. at per cent, sim.)"! iniountt.>.£.|n^ j,, ^, .^^ 3 "il)le interest? .ilOO-An EXAMINATION PAPERS. 113 9 Twelve lbs, of tea at 50ct3. per lb. are mixed with 2(Hbs. at 40cts. per lb. ; what per cent of the mixture is worth 70cts.? 5 per cent.— Ans. 10 If the double ot a certain number be increased by 864, the sum will be eight times the number ; fmd the number. 144 — Ans. Fifth Class- 1. 1 Two thirds of | is how many times ^f 5times- Ans. 2 Three tenths of a fifth is how many eighths of a tenth? 4|— Ans. 3 Three fifths of twenty-five is five sevenths of how .many tenths of forty ? 5^— Ans. 4 Subtract the square root of 50625 from the square of 24 and multiply the remainder by the cube of 4. 22464— Ans. 5 What is the discount on a note for $600 due in two years, money being worth 6 percent? $64.284 — Ans. 6 A note for f$800, due in TOdays, is bought by a banker ; find the amount given for the note, money bemg worth 7 percent^? $788.80-Ans. 7 What is the difference between the third power of (1216-20x36) and the fifth power ot (1200H-16-20x 3(*).? 246016— Ans. 8 $9801 was paid for a certain' number of horses, the price of a horse in dollars being equal to the number of horses bought ; how much was paid for each horse? $99 -Ans. 9 A square pyramid of cannon-balls has 15 on each side at the base ; how many balls in the pyramid ? 1240 balls— Ans, 11 1,1 lU k K I.KM ENTA KY A RITHMETK; _ 10 tivc hundred and seventy-six soldiers ;ire formed into a solid square ; how many men are there in the out- side row on one side ? •i-tmen- Ans. 11 A certain numlx-r multiplied by its square gives 172^; find the number. J2 — Ans. 12 A S(iiiare plank 2ins. thick contains il/L ot inch lumber; find the length .,f vme s'de of it. 1ft. 6ins.- Ans Firth VAuss IS, 1 The S(|uare of a certain number increased bv 13il amount.s to 701 ; find the number. 25— Ans. 2 Add the cube root cf 4096 to the cube .of 22, and from the sum subtract the square root of 2(i7.'}6. 10520 — Ans. 3 Kxtract the square root of two hundred and eighty- nine ten thousandths and give your answer in the form of a vulgar fraction. J^i^ — Ans. 4 The value of 5bus. of wheat and 6bus. of oats is $6.80, and the value of 6bus. of wheat and 8:)us, of oats is 18, 40; how many bus. of oats are worth as much ms 12bus. of wheat ? 40bus.— Ans. 5 ny selling oranges at 48cts. per dozen, 20 per cent was gained ; what selling price would huve gained 30 p^rcenti r)2ct.s. per doz.— Ans. 6 A can do 4| per cent of a piece of work in a day, B can do fjj per cent' of it in a day, and C can do the work in IJOdays ; in what time can the tinee, working together, do it ? Tf'^^days-Ans. 7 A ladder 50ft. long is i)laced against a wall 30ft. high, the loj) of the ladder just reaches the toi, of the wa I ; how lar from the wall is the other end of the ladder? 40ft. Ans ;ire formed i in tlif out- quare gives I ft. ot inch 1ft. 6ins.- sed by 13ii i. .of 22, and ;J6. 10520 and eighty- n the form of oat.s is )iis. of oats s much its per cent gained 30 in a day, :an cio the e, working wall 30ft. \n]> of th^ :nd of the EXAMINATION PAPERS. 116 8 An agent sold apples on a commission of 2 per cent and bought sugar with the proceeds on a commyssion of 1| per cent. His commission for both transactions was 8350; hepaidlOcts. per lb. for the sugar; how many pounds did he buy? 98000pounds— Ans. Fifth €lass-». 1 Three fifths of a farm- is worth $976 less than -} of it, find the value of I of | of f'f of it. $221381— Ans. 2 Find thevalueof(l)32 + y'36-22 4-i of VH'_ (2) (44-V8x2 + 9)2 + (04-VtVo + 1tV)^ViV- (1) 11-4-^, (2) 352|-.— Ans. 3 Divide $3000 among A, B, C and D, so that A may have twice as much as B, B $100 less than C, and D as. much as A and B together. A $828^, B $414f, C S514f, D S1242f.-Ans. 4 John is 90rods east of Peter, James is 90rods south of J<»hn, and Thomas is 90rods east of James; how far apart are Peter and Thomas? 201.24-i- rods.— Ans. 5 A globe 37 ins in diameter is how many times greater than one 13ins. in diameter? 23^VTtimes— Ans. 6 A man invested $8000 in Bank Stock at 112, which yields a dividend of 8 per cent per annum ; how much greater would his income have been at the end of 2yrs. 4nios., had he lent his money at 8 per cent, simple interest? $160— Ans. 7 The G. C. M. of two numbers is ^, their L. C. M. is 1 -2, one of the numbers is /^ ; find the other number. -^-Ans. 8 From a certain number ^^ of itself is taken and ^^ of the remainder is ISO ; find the other number. 480— Ans. 116 ELEMENTARY ARITHMETIC. 9 The average l(:l if f " I; of 16 results is 20, that of the firs three being 8, and of the next nine 12 ; find the average ot the last four ? 47 — Ans. 10 A banker paid $133 for a note of |140, which was legally due in 8mos. ; find the rate per cent discount. 7|^per cent — Aris. Fifth (lass -4. 1 An agent received a commission of 2 per cent on the proceeds of 600bls. of flour. His commission am;)um- ed to $72 ; how much did he receive per barrel for the flour? $G— Ans. 2 Find the compound interest on $800 fur 2vrs. at 5 per cent, payable half-yearly. $S3-0r)03125— Ans. 3 Sixty men have provisions to last them 30 days ; how long will the i)rovisions last if 30 per cent of the men leave ? 42-«days— Ans. 4 A monument is 30ft. high, its shadow is 120ft. long; find the distance from the top of the monument to the farthest end of the shadow. 123-69+ft.— Ans. 5 11 per cent is added to a certain number ; what per cent must be taken from the sum to give the original number ? ff^^ per cent — Ans. 6 A train 200ft. long runs over a bridge 120ft. long, at the rate of a mile in 3mins. ; how long will the train be in crossing the bridge ? 10|'/secs.— Ans. 7 The divisor is 30 per cent of the dividend, the quotient is 3, and the sum of the three is 1173; find the remainder. 00 — Ans 8 A man invests $1200 in Bank Stock paying 4 per mst he j)ay for the stock per hun- cent. H ow dred in order — Ans. much receive 6 per cent on his money. $66^ EXAMINATION PAPERS. 117 the firs le average ,vhich was discount. cent on mamoum- ;l for the 2vrs. at 5 Lns. 30 days; nt of the 20ft. long; nt to the what per e original Oft. long, the train iend, the ; find the ng 4 per per hun- :y. $66f 9 What is the diagonal of a square containing lOacres ? .56 5-1- rods. — Ans. 10 A merchant sold silk at »1.06| per yd.,, gaining thereby 20 per cent of the cost ; what did he pay per yd. tor the silk? 89cts.-Ans. fifth €lass-5. 1 \n a-^ent, sold 200brls. of tlour at $8 per brl. and received a'commis^ion of 2 per cent; find the amount oT his commission. $;)2 — .^.ns. 2 \n agent received $1020 with instructions to de- duct a commission of 2 per cent and invest the proceeds in te:i at 40cts. per lb. ; how many pounds of tea did he purchase? 250nibs.— Ans. 3 A store-keeper sells 12yds. of flannel for what 13 yds. cost ; find ius gain per cent ? 8^— Ans. 4 A and B enter into partnership, A contributes ^9000 and B $6000. At the end of 9 months A with- draws his capital and B continues the business until the end of the year. The gain during the year was $3000 ; find A's share of the gain, $1-">88^V— Ans. 5 Find the compound interest of $3000 for 2 years at 9 per cent, payable half yearly. $376.52643-Ans. 6 Sold I of a brl. of flour for what the whole brl. c(^st ; • what per cent did I, gain on the part sold? 33^ per cent- Ans. 7 What is the edge of a cube whose entire surface is 16sq. ft. 96 sq. ins. ? What is its volume ? 20ins., 8000 cub. ins. —Ans. 8 There is a rectangular garden-plot whose length is to itc breadth as 4 is to 3. Around it is a walk 10ft. wide^, which contains U400sq. ft.; find the dmiensu.ns of the plot. 4u0ft. by 300ft. -Ans. 118 ELEMENTARY ARITHMETIC. Fifth Class- . .•2r.O; And the number. ^ Vhow manv cuDic feet of timber in a log Uft. long and 2,1 in diameter. ( i )iameterx3^=c.rcu,r.ference) ? 44 cub. ft.— Ans. R V -,eltl in the form of a right-angled triangle has J sides SOnJds l-.ng : find the length of the other s,de. -1-2. 42 4- feet- Ans. Fifili Class 8. 1 .\ ranadian cent is placed on a penny so that their • ^ '^ Z^ rhe Denny is llins. in diameter ; find centres comcule. i n^ pcimy '- 3 /,iw'^i— ^^ ?he area of the uncovered part of the penny (dxa^-c). iigq ins. — -^ns ''2 A refiner has 20 ounces of -old 21 carats fine and u . .ith iuounces20 camis fine; how much pure ".tir; be add^St^ make the mixture 22carats fine? I'iOounces — Ans. . ^ X .omuanv took a r.sk at 2 per cent and re-msured H cTf it in another company at 2| per cent 1 ^^ P' emium r. ei ed by the company was $8 more than that paid on how much more was a premium received than paid? $1600— Ans. 120 ELEMENTARY ARITHMETIC. 4 A merchant bought 300lbs. of teafor|lSO : he oiid 50cts. per lb for a part of it and another price for the remainder; had he paid DOcts. per lb. foi" the second quantity and the second price for the first quantity, he would have paid $30 n^ore. What was the price per lb ot the second quantity ? 80cts.— Ans. 5 Simplify (V,.) -4-V(T¥7i-ii). iff -Ans. 6 The triangular gable of a building has a base of 38 feet and an altitude of IGfeet. What will it cost to cover the two gables with half-inch lumber at $20 per thou- sand inch measure ? $12.16 Ans, Fifth €Jass-«. 1 A horse and carriage cost 320 ; had $20 more been paid for the horse, and the cost of the two remained tlie same he would have cost 2| times as much as the carri- age ; hnd the cost of the horse. $200— Ans. 2 If the diameter of a half-penny be to that of a penny as 3:4; how many times the thickness of the half-pennv IS the thickiiess of the penny ? litimes-Ans. 3 A ruler is lin. in diameter and 22ins. long- how many cubic inches in ^j of it ? 7f cub. ins— Ans ' ^oaa"^ ^"^ '^ ^"S^Se in trade and gain $420 ; A owns ^ 2?.T'^ ^^'^"^ ^ °^ ^^'^ ^^0^-1^ ''^'^d B's share of the Riin IS 1100 ; find A's stock. $1G00-Ans. ^ 5 The amount is $800, the principal is three times the mterest, the time is 5yrs ; find the rate per cent ofper cent— Ans. 6 In a right angled triangle the base is 40 r-ds -md the perpendicular is 30 rods; find the area of the tri angle whose base is the line joining the points of bisec- tion of the perpendicular and hypothenuse. 150sq rods EXAMINATION PAPBRK. 121 Fifth Class— 10. 1 A and H enga-e in trade, A puts in $800 and B $600 At the end of Gmos. A puts in $400 more and at the end of 8mos. B puts in $500 more. At the end of the year theiTassets^are $3000; find A's share of the gain. $396H— Ans. 2 Simplify V(l-i\)^ V(2-1H0 3 A man bought a number of sheep for $1800 ; he soM W'hem t. $7 apiece, gaining l.f per ^of wha^ they cost. How many sheep did he buy ? 300sheep Ans. . , 1 • 4 When gold is quoted at 110 ; what is the value m gold of $100 in greenbacks ? $90|A-Ans. 5 A man buys a house to be paid for as follows : j downtand ^ ev'ery lour months until the wlvo^e is i^aid. When might the whole be paid at once ? 8mo..-Ans. 6 Find the number of acres in a rectangular field whose perimeter is 480 rods and whose length is five times its width. 50acres-Ans. fifth Class- 11. 1 What is the present worth of ^ -%.-[f^\W^^^^ in 1 year at G per cent discount? |18.8b||— Ans. 2 If a cei-tain number be increased by i of its square the sum will be 220, but if it be increased by i ot .ts square the sum will be 100 ; find the nu.iiber. 20--An.. 3 The cube root of the square ot a number is iv,; find the numl ,aii sold his farm for 20 per cent more than 90 of what it cost, and gained $800 ; find the cost 4 A man per cent of ' of the farm. $10000— Ans. 122 fiLEMEMTARY ARITHMETIC. -HI k 'I' On^. i ''''' '"f ""' ''"'^'^ '^^'■'■^^^ ^•'"e o" ^londay at noon One ga.p, o,„^ ^^^^ ^^^^ ^^^^ ^^^^^^^^ y noon. Zoi IT ' ^''^'^ ^'■^^^^''^"^^ ^''1 ^'^^^' t>e between the mins ^Ans! "' "''"" """ ^'^"''^^'^ "*' ''^''^ ^'^"^^^ ^^^^'^ •' '^ auVll !;?;^'^:^"^,P^n^endicuIar of a right angled tri- tnfn!w? t , ^ respectively ; find the area of the nan^le whose sides are the base, the perpendicular from he right ang e upon tlie hypothenuse and the segmen adjacent to the base. 384— .A ns. segment Fifth €lsvss-l«. sterlim/'^" '" ^^.""^'■f''^' «^es a person in London £900 sterling. In paying this debt how many dollars will he have to give for a bill ot exchange ; exchange at UO and commission f per cent ? $443f)— Ans. ^^^^na 2 A person has an annual income of $500 from Bank S^ock which pays 5 per cent dividend and sells at 1 "o What would his annual income be if he sold out and ini vested in Railway Stock at 140, which pays a half veaX dividend of 3 J per cent.? .f600_Ans "^'^ ^^-^'7 3 John is 32yrs. old and Thomas is 14vrs • in how TZr'" '"^' ^"''" ^' '^''' ^' ^'^ ^^ Thorn;;? 4yrs 4 A merchant sold goods allowin- his customers a years credit or a reduction of 10 per cem for ca^ A customer bought goods to the amount of $300 and paid cash. How much did he save, money being worth 8 per cent per annum ? $8.40— Ans. '"S worm « 5 The perimeter of an equilateral triangle is i20rods Hnd the length of a line drawn from one of the andes to^^the middle of the opposite side. 34.64+rods _ EXAMINATION PAPBKS 123 6 What (luantities of tea at 45 and 60cts. per pound must be mixed together so that the mixture may be wor.h 48c^ per pound ' 31bs. at 60cts.. I'ilbs. at l.cts. -Ans. Fifth Class- 1 J5. 1 The state of a railway company's affairs would instifv a dividend of 4 per cent but tor the fact that '^mlmTil.. stock^onsists of Preterence shares which are guaranteed a half-yearly div. 'end of 4 er cent The ordinary shareholders receive only H pe cert half-yearly ; what is the whole amount o( stock . $3000000 Stock— Ans. 2 If JObus. ol wheat be worth 20bus of peas and o bus o peas be worth lObus. of oats, and L>Obus. of oats be worth I5bus. of barley, how many bus. of barley a.e worth -JOObui. of wheat ? 600bus.— Ans. 3 A person sold 50bus. of grain for $42, some at j i cents pe^r bus. and the remainder at 94|ct. per bus. ; he ^nJiO per cent on the first kind and 5 per cent on the second. Find the entire gam. $3- Ans. 4 If lOmen, 12wo,nen, 15boys or 20girls, can perform a Piece of work in 30days ; how long will it take 2men, 2w'^men 2bo;s and 2girls to do the same work ? 50days —Ans. 5 In what time will $300 triple itself at 10 per cent, simple interest? 20yrs.— Ans. 6 Find the diagonal of a rectangle whose area is 4 acres and whose base is H times its perpendicular. oO rods — Ans. Fifth 4Uass— 14. 1 The minute hand of a clock moves 6 per cent too fas! and th" hour hand 5 per cent too slow. 'Ihe hour 124 BLEMBNTARV ARlTHMKTir. I M h«nd is at 2 and the minute hanr? nt a . ,« i,^ ".inutes will .h.y be together r40-,w;„',,;LA:s.'"'''"' 2 A farmer sold a cow at a ^aii) of 30 ner ce^nt ■ if u^ ad sold her for $^ less he wo'uld hve gained o^l 'o PCT cent How much did he get for the cow ? 1^2- 3 Of two kinds of flour the first is worth 50cents rer brl more than the second, and llbrls. of the first are worth as n.uch as ]2l,rls. of the second; find the price of the first kmd per barrel. $6— Ans. ^ S.rtl.^S''-'r "'"'■'' '^^'■ ^'^'"^"^^ '''^'' ^ person buy Bank Stock which pays a half-yearly dividend of 2^ per cTnt 6 A man receives $1.00 for every day he works and forfeits 50cts. every day he is idle, 'ne'earns S in 53 da/s ; how many days did he work ? 40days- Ans. In t.t '""^f^ "^'- ^'"«- ^o"S' -^ft- Cms. wide and 3ft. high cubic feet-Ans"' ' '"' '" "-^^""^^ ^^ ^'^ ^^^ ^H I'ifth Class -15 n.? '^.''"r'^ .^ *'"^^' ^"^"^ P'-^i-tnership. A contributes 60 per cent of the joint capital for 8mos., and B rece ves 30 per cent ot the gain; how many months was B's capital in the investment ? 5|months— Ans. nfrt^u'^'''rn''^ ^''"^''^ ^ quantity of tea for $34.40 • after selling Gibs, at cost, he sold 30 per cent of the re mainder for $]0.r)n a -^■°'- "'•^^ "+" -^d -" and iaa.rt ,T after the Page 72. Ex. 9-for "wheat at Sf read "wheat at ^S-l " Pago 6, Ex. 6-for ",8 are worth" read "IS cow ar 'worth " Page 79 Ex. 2-for "are" read "is." Page 82, Ex. 4-for "33 read •'3-3." Page 92. Ex. 8-for "960oz." read •'797»0'rz " « , 192 ' j Page 102, Ex. 2. Ans-for "0009" read ""00009 " Page i08. Ex. 3-for "sells" re«d "sold." «i ,; ^'.>. I , *