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^ -APPLIED IIVMGE Inc
1653 East Main Street
Rochester, New York 14609 USA
(716) 482 - 0300 - Phone
(716) 288- 5989 - Fox
(<L.
■IN-
ARITHMETIC
FOR-
FOURTH OUSSES AND ENTRANCE CANDIDATES
WHITB
■NWMMmHtt4««4«HMM
PRtOE 25 CENTS
N'^^^C-;..--.
M^^^r Copp Clark^ mr^mmm^
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DOr^ATED DY.
va/. \/\.t.cnA^
pro(;ki.;ssivh ikohli-im^
IN —
ARITHMETIC
FOR
TM»rRTU ClASSKS in PUHIJC ScilOoi.s
AND
CANDIDATES FOR ENTRANCE TO /fhi/I SCHOOLS
AND COLLEGIATE INSTITUTES,
HY
J. WHITE,
Author of Practiiai Prohlenis in Arithmeiic.
TORONTO:
THE COPP, CLARK COMPANY, LIMITED.
Kntpml ncconliiiir (o Act of the I'iirliamerit, of Catinda, in the year one thousand
fiuht huiKind and ninefyflvu, by TiiK Coi-p, Clakk Company, Li.mitkp, Toronto,
Ontario, in the (>»^ice of the Minimcr of Ai,'n<>iltute.
pri<:fach.
This little work is intt'iuluU t<. ai.l tc.-ieluTM in funiisliintr F,,u,-th
Classes, iiifluding Entrance Candidates, with |.ractieal exercisu in
Arithinotie.
In the i)rej>iirati()n of the work, the general plan ..f ProrfinU
Pnthlems in AiiflnnHIr has been f()ll..wt;d. If is liojM'd that the
method adopted will l(.;id pnpils to deduce results from <,'eneral
principles, and, hy so doint,', t<. avoid tin; tendency to mechanical
work.
Kn.MoNTON, Ontidlo, IS'Jjf.
.1. WHITE.
I'ROGKILSSIVI-: I'KOHI.HMS
-IN-
ARITHMETIC
J.
Fourth Class.
Greatest Common Measure.
{Indnd'nuj rrevions H'ork. )
I.
1. Resdlvc tlio fallowing uuml)M.'s e;icli into ji n;iir (.f iiite<'r;il
fict(.rs: 8 ; 14; la; 21.
2. Find the leust Hnd tlu; gmitti.sfc integral factor (.f tlie follow-
ing :— lf)5 ; 455 ; ^>m.
.'I Find the prime factors of ."{72.
4. How many boards, each 12 ft. ;{ in., placed end to end,woidd
reach as far as 21)4 hoards, eacli KJ ft. 4 in. in length f
5. What is the least and what is tlie greatest niejusme of 744 '{
C. Find a connnpn measure of 24 and 78.
7. If 4 boys in (i days earn $7.20, how many boys ought to work
7 days to earn 818.00^
8. What prime factors are cojumon to (U* and 273 i
i). Find the G.C.M. of 108, 240, an<l 288.
10. If the linear foot contained 15 inches, how many square inches
woidd there be in a scpiare foot ?
11^ Three trees 1)0 ft., 84 ft , and 108 ft. were cut into boards of
equal length, and as long as ])ossible. How long were the Ijoards ?
12. What is the least number that must be added to seven hun-
dred and three millions six thou8an<l and forty-seven, so as to make
the sum exactly divisible by seven thousand and nine?
6
P!tO(JKESSIVE PKOIJLKMS IN ARITHMETIC.
n.
1. In ,solli!if,'tw() barrels of coul (nl cr)iit;iiniii<4 ;U> ;l,'ji1. arul 42 gal,
ro.spL'ctively, a nu'rcliaiit, uses the lars^'e.sf. possible ineastiii; that will
completely empty e;u-li hanel. How much does tlie measui-e hold ?
2. Find the <,aeatest number that will divide ;i«4 and 247, leaving
respectively (> and *.) as remainders.
3. A wagon Ix.x 12 feet long and '^ feet wide holds exactly ] cubic
yard of gravel. How deep is the box (
4. A storekeeper, who has two barrels of sugar weighing J80 lb.
and .'}()0 lb. respectively, wishes to put up the sugar into parcels all
of the same weight. What is the weight of the largest parcel he
can use, so that each barrel may give an exact iunul)er of parcels I
5. A person wishes to enclose a field 4(1180 feet long and 2233
feet wide with a straight raihfence 5 rails high. The raits are to be
all of the same length, and the longest he can use without cutting.
How many rails will he recpiire V "
0. What numl)(!r, taken from stiven billions nine nnllions three
hundred and eight thousand and six, will leave a remainder exactly
divisible by live times thirty tlutusand and ninety-.seven i
7. If 7 bushels of wheat are worth 10 bu. 2 jtk. of oats, how many
bushels of oats are ecpial in value to 12 bu. 2 pk. of wheat '.
8. What is the least mnuber which, taken from 40()(), leaves a
remainder of which 5!) is a divisor 'i
9. Find the greatest number tliat will divide 407, 701, and 1043
without leaving any remainder.
10. A wagon loaded with c(»al <veighs 2(512 jjounds, and the wagon
alone weighs 1112 pounds, if the dealer receives $4.50 for the load,
what is the price of coal per ton ?
11. A man has 212 bushels of oats and 371 bushels of barley.
lie wishes to put the grain, without mixing it, into the largest pos-
sible bins of eipial size. How many bins does he recpiire ?°
12. .\ man who owais a piece of ground 152 rods long and 572
yards wjde wisht'H U) tlividi- it into tin- lai-gesf {)ossil>K' sipiare lots
each containing the same number of sipiare rods. Kind the hMi<'th'
of each lot in rods.
FOURTH CLASS.
I
1
i
Least Common Multiple.
(IndnliiKi Pnrioas IVork.)
III.
1. Find ;i inultipiL' ' 7.
2. Find a common nniltii'Ic of .'{ and 8.
.*i. A merchant purcliased .'i.S gallons of vine'^ar at 50 ccnt^i a
gallon. After addini,' water, 1u' sold it at »»(> cents a «,Mllon, and
gained thereby .^4.70. Ilow nuich water did he add i
4. Find the L.C.M. of 24 and 'Ml
5. What is the (I.C.M. of 10211), 1 1057, :'.22;J, and 441 1?
(». What ninnber, sul)tracted 42 times from 150085, will leave a
remainder of 07 (
7. I paid §1.80 for apples at the rate of 10 for cents, and sold
them at the rate of 8 for 10 cents. Mow nuich did I gain i
8. The prime factors of a certain numl)er are 17, 1'.), .'J, 2, and 7.
Find the number.
9. Wliat is the least nunibi-r which, divided by :!, 7, 10 ,.r 14,
leaves 2 for remainder in each case f
10. In digging a ciillar 27 feet long and 24 feet wide, a man re-
moved 144 cubic yards of earth. Ifow <lee[) was the cellar (
11. A b(»y in coiuiting over a })asket ()f eggs, found that whether
he coinited them 7 at a time or 8 at a time, he had 4 ("_rgs left in
the basket in each case. How many dozen at least did the basket
contain ?
12. If a certain number were .'} greater, it would be exactly divis-
ible by 14 or 17. What is the number?
i
Ik
5
IV.
1. If the linear yard contained 4 feet, how many cubic feet W(»uld
there be in a cid)ic yard ?
2. If a man had $l'A more he could divide his money eipially
among 8 boys or 11 girls, giving each an exact number ot doU.r.s.
IJow many dollars has he i
3. Find two nndtii)les of 12, 14, and 10.
4. The produet of two numbers exceeds (;0.">t>:V)!>84 by ninety-
nine millions six thousand seven hundred and sixteen ; tl^e smaller
nuniber is 7009. NVhat is the larger 1
8
PHOGHKS.SIVE IMtOHI K\f« txr . .,
wl.Ht t„„„ Will Lis 1,,.,.„L ;„„,," r •^''"« '«' l'"»l.el» eacl, year, i„
•W mn„,te«, at what rate ,,or hour rel ho.v'lk S"' '""'" ''" " '"'"''
ti.a^i;j'r;i?!.^;r;;;:;t'^;;l;-^-«.o e ,„aoo at the same
;='i s: -: .te = '-=' -:; .s t;&i™,.:s
Vulgar Fractions.
{Indndhuj Previous Work)
V.
2. Ho. ,n.ny quarter-poun.! parcels are there in irj pounds ^
. ♦^- A fanner put 79 1)„ 'i nl- f , ^'4 i»<>'intl,s /
■nto the hu-Ko.st ,„. iV,io «; . t-,;':'tr,;';'''f" '"'■ ■ >'"<■ ••< f'-"-
fruit separate. How u,.uy harrcl ''i;! h^S; ?""'""« '•■"^'' k"'-' "«
How uilTpi'c^Nvte'rhSeT" ""' """ "''■""'"'^ "f J "f " f-t each.
5. Ill ;in orcliard there w^ro '^9 ,. c .
trees, and each tree yiildl'l 4 hu iT ' *'''f '' ''"'^' ^•-^' ^'-^ 40
wan put into barrels, iach hold "; o ^'^ "^ ^'^'^ \ ^^^^ ^v^i•<>Ie crop
>y]iat WHS t.he price per barrej ° " ^ ^'''•' ^"'•'- ^^^^^ ^'^^ |,'W
i'i
FOURTH CLASS.
oiiy
1 Pi^. each. \\ hat « the v„i„„ of th,'. wh.,.. .um ' "'.t; r,';. ;;'„;i,!;,";
n.ain,l„r i.s 20». What L the llh-l'l.'? '""""-"" '" "™' ■"'-' '1'- -
10. H,nv ,„a„y .si,xt„e„ths „f h„ a,,,l„ ,.re there in g „f ,,„ appk ?
11. Express f in twenty-fourths.
30 ce„t.s a b„.she,. ■M:;:"::4;Y;s'r,i-, ■;,^7;,',;;r »' «- -ti. „f
VI.
1. I{«l„ce ;:■';! ,m,l \i;,l; t„ t|„.i, |,„„..,, ,,,,.„,^
2. VVhiel, i.s t!,e greatest, and which the least of ,', J ,, ,
cost 'of'ISet,",;';:!/,,^ I'i;: ;" ''■■''^"■^' *"*-■*'• »'''^ »'i""l- the
of atr.!l'fh;:t":Jr,::t!,;e.fir'Hd;! ■' "'T'"- ""■ '--^ • -•
Bq. rd., or 1280 s,,. r S Wh^f c<"i<a,n„,g »K, .„,. r,l., ;«;(,
acre? ' '""■ " ''"' '» "'" vahie of the fan,, per
denomfc" '^ '""' ^' "' ^''"•™'™' '>■-«"- l.-i"« 8 for
appLTl'dT */ "' "■' """'"■ ■' - J -"' H-y ^ M.nv ,„a„y
^<.y tal^ln^r^ --^i;ji;;;*;»,;.f P..^t<.s in a„ ,.,„r. a sec ,
<iig as many bu»l,els as" ti,e Kr..t ; "'■f--'""l a ""'■'' ''"> '■""
bushels can^ the thL'V.y: dig i,;'o;Lrr' '""""'"■• """' ""^"y
10
iM{ooRi:.ssrvi.: promlkmh i\ aimthmktk-
.10. Make out the fol]nsv\w^ ],ill .- 48fM) ,,.iil.s at f^r '>:, .,..,• C • 'i9HA
•neks at .1^;].5() per (^ ; 2;JH(, foot of h.n.lH... at".Sl7 " IVT '• i'J
> n..ls ..f pork at i^(;.25 pur cwt.; JKUi^ poun.ls of hraJ It W:^
hri
1
ton
niou. tlun tl.u first, a,..! u tlnrd i.i.in earncl as n.i.rl, us tin- first
and .socon.l to,^.ether. ihnv ...any dollurs ,li,l all ..an, '
of the'i.l pj; hush.^^- ""'^ ^"^"' •'" '^'^ '^^'•^' ^^'-^ -- ^'- value
VII.
I. Thv (liffV-iOMce in wc-ii^lit hc'tweon two pj.r.s is l-' cwt aiHl H.o
lii^htor p,. weighs 2- cwt. Wl.at is the weight J;}!;;,^; J"
fn. Il ^i/'""'";^''" 'r:"^'''^ -^: '»'>«''^'I^ "f ^vlu-at at the rate of 2 hu 2 ,,k
:$. A wr.nKiM lM,„<rl,t three pie<;es of ch.fh ; the first was 2;i yards
sl.ortc.r (ha,, the se.o.x], and the third was 7^* yards longer ,) a e
4 A father eaii build a rod of fence in 20 minutes, and his son
can hud.l a rod „. .'iCMninutes. If they work JO honr a ' lay w k t
tcX'other ;^ ■ '"'■'' ''•"■^^"'" •■^'""^' "^' f"^' ^'-^'^ ^vorkin<(
5. One-third the divisor is 1220. one-fourtli the (nu.tienf is a^r
and one-Hfth the remainder is :J4:;. Find the divi.h.nd ' '
Ift'.'^.;..:^ ^"T ''^"' '^'r^''^ '"^" ("^'^ "'^^^^"- ^^^'^^^ «^'«t field contained
18|5 acres the secon.l contanied ^ acres more tlian the first he
tinnl contauied .Wi acres n.ore than the second, and tlie four h con!
tamed as n.any acres as the second and thir,l to<,a'ther. How maTv
acres were ni tiie farm / nuiny
7. A string 10 yd 2 ft. (I in. long was divided into two pieces the
!l. A lot 25 r..(l» l„l,^ ,„„1 m ,„,Is wide ia suvrouTl.I,..! hv a d.isn
FOURTH CLASS.
11
10. Thon.Hs bu>^s jmpers at tlu. rate ..f 7 for ;', cents, and soils
the... at t .0 .•ute of .. for 8 ee..f.s. Ff he sells 14 papei.s every .lay
what p.-oht does he make ill Txjays^ ^'> "''y>
11. ()..o-half the s.in, of two .iuii,l,ers is :;:;(►, .u.d o„e-fou>lh their
(lltterenee is 2t. Iniiil the inuidu'rs.
12. Make out the followiiiL; hill in proper f(.riii :
22 1).,. 12 11). of h.irh.y
Ki «. 17 .. ....... ^
12 "
U "
l.'i "
7 "
(i "
8 ''
7 "
at ")(» cents per hiisluil
15
28
14
20
12
12
15
< I.
o;its
h k
:;()
wheat
(4
84
coi-.i
fc b
44
i-ye
U
72
I»eas
n
54
hack wheat
( t
5»;
timothy seed
''$1
.<;o
clover seed
-^5
.(50
vm.
1. One uian has ah.tof | of an acre, and another has one of ' of
iUi acre. I low nmcli is the first lot la.-^rer than the second I
2 A fai-nier had 'i .,f a t..i. of hay and [....i-hf • of a ton ; he then
sold l; of H ton ; how much had he left /
a What will he the cost of 500 pieces of scantlin- (;ach 20 ft
4. How much must he added to ^'j' to make .'7* ?
1 , '?■. \T'\ Zl']' ^'''''^ ' ^^ ■■^'■'"'' "^ ^'"^'^ -^"^^^ <»'^ "'^'•^■■^- How n.uch
lanu nad lie Jett «
«. A woman bought a numhei- of hens and chickens for S.'J2 nav-
n.g three times as much for a hen as for a chicken. There 'were
live times as many chickens as hens, and the hens cost her (50 cents
CHcli. How many of each did she huy ^
7. Tvvo nie.i ea,-ned $45,'v in a week. If one man earned $1(U '
how much did the other earn i ^^
8. Thi-ee ...en owned Vi of a mill ; the first man owned A, and
the second owned i ; how much di.l the thi.-d man <nvn (
K ^•. ^.}}Zr'''^T^ "^ f '"■''*' "'"»l»'^'-« i'^ i^7r,471M>7;J(» ; one of the num-
bers IS .]b<8, and another is 278. What is the third number i
10. Vvnm a piece of ciol h (..ntaini.iir 25 vai-.ls, 4^ yards wore sf,ld
uZiar"'"'" ^ '^ ^''"'^' ^" '"'"*^'"'- ""'' """»y y'"'<l« remaine.1
12
PIJOOHKSHIVK IMfOIJLKMS IN ARITHMKTir.
...» 4 !z ^■:^l:\c'-i '",t;;:;!;;"^;;,;',;:;^™v:^ -«»
X.
1- '''ill-CD HUM! l).HI(r|if, ;i I,,, IS.' tor >? 11 1 M Tl. r t
tl.«.-el,y «Hia (i8 cent, „„ th. ^\Xf " """""• '""1
tahfi,.;!!;:]',:?':'!:',:,'::.';'""^- "^ '-"-".^ -.• •< i-i.- t^ck «ii, „„„.
for a ?*^'» '" *^''' ''"' "'■"' "■''••" '".V »"" --'• »"« .uuch ,li,l I |„,y
I!. Fifty l)ll^'.s, <'.liOl li..l,|ii|., 2 liri •' ,,l- I „..I ,'ii ,
7. What .sun, tuku.i fi-,„„ .«<| IH 7, ,,.||| |,,.,,,,^ ,,|(HI ' '
•J- If 4 Mien e;in do us iiiucli work- in •> ,^■t^r ..^ <» i i
Tom',,!!" wmM^?^ ''^' ''''"", '"rlf ^' i' ^ ^^'" S'-'™ T"". m;i. and
orlw,,'i:f:,lZ';n5l!^''7;;:;';;;-^;;.;;5;«'<'2«2.a„d t,. product
X.
tl.
thir
HAmto huliisfcpen^ol,tmt<,rlu..secoua;.t„,l i of it int., the
ml VVliat part of lus flock did he put into tho fourth pe?
poiTiiTi! rr.ASi^.
13
2. As lot is 'i oj an m'vo l.ii-cr fliai, ]\\ hut only .', ..f h.i aero
larger than C s ll.nv much is I'.s smaUcr than C'n / "
.'{.Two |.oiv)us startf.l fn.in the same place an.I travelk-a in
opposite .hreet .h ; at the viu\ of on,. h..iir they wen; 7 mi "HO id
apart; had they traveUe.l i„ die siuik; .liicction tor one hour, thev
wouki have been 1 mi. 4(» rd. apart. Mow far did each travel por
4 Smith's farm contains 17}? acres more than Jones', but S'i acres
less than IJrmvn s, which contains KMI^ acres. How many acres are
m the three farms I
5. Three bins contained IH^-'^ bushels of wheat. The tirstand
second together contained 2()4:|! busiiels, and the second and third
t..gether contained 20<),'„ bushels. Mow many bushels were in each
0. What number nudtiplied by 7, the product increased by U
the sum divided by 7, an<l Hi subtracted from the .luotient, will
leave 17 /
7. Marry lives 5] rods nearer to the school than Ned, and 4i rodH
farther than Ihomas, wli<. lives 25;2 rods from it. .John lives 7'i
rods nearer than Ned. Mow far does .b.hn live from schcxd /
8. From ^ + i take ^-3 + ,\,.
9. A road 5 miles long and KJ feet wide was built of plank 3
inches thick. What did the lumber cost at $17.50 per My
10. It took 47;!,; galh.ns of milk to tiil three cans. Thv. first and
secoi.d togetluu- held IH) ^, gallons, an.I the secon.l and third to-
gether hehl .>1 f J galh.ns. Wnat was the capacity of the sec.»nd can ?
11. A grocer paid .'JO cents per pound for butter, and sold it at
M cents a pound. Mow much did he lose on every doUar he paid 'i
12. The sum of three fractions is 2=} ; the first is 5, and the second
IS >^ greater than the hrst. What is the third i
XL
1. How much nnist I add to the difTerence between \}, and I to
give a result ecpial to the sum of I and | /
2. The quotient of two numbers is 1805, and one-seventh of the
less number is I001> ; what is the gn-ater <
3 A andB start from the same place and travel in the same
d„.ect.,on. ( n the first day, A goes 27^ miles, and B .{2^ nnles; on
the second day, A goes 31^ miles, and B 2O5 miles. Mow far are
they apart then 'i
14
PUOfiUKSHIVR PHOIJI.KMS IN AIMTHMKTIC.
5 A vill.yo l.,t lb r<».iH l.m- uii.l ;M) foot vvi.lo w.is fc-McT.! with
2? ] 1 1^^'!',;',} V.'I'", ''T' /;'"^*i""/l'«*. ■""»• 'j- '"M"l I., the «„,„ of
-«5/;, iJH' 'm«i i>7 to luuko tlio result an mto^'or ?
vJu,'\ '^"'^'^',1 t''V'''""".,*^'""'"^'""" ('''i.tuiinMl .SO()l„.Hr(l feet
h!^^yi '"'"" " '"'■'"' ^"'^^' '^'"^ •' '"^'"^■•'^ ^'''^'^^- ^^''-r ^vas the
«..,,?/./'""; IV'"«V'^. ^•'•«t .«!127<;:{. Tlio first est $21401 the secon.l
vvu.it (iKi the fourth co.st ( ov-^w^i.
Jj. If 21 l,u. a pk. ..f oats ost .«2.{)r) more than 14 hu 1 ,.k
1 gal., how much would ICK) bu.shels cost ^ ^
10. A woman spent $.'{.12 huyin-r e.^u.-il .nmntities of te-i and
•sugar ; for the tea she paid 45 cents per potni. , and ^. ^8,1^7
cents per pound. H<.w nn.clylid shL spend on tea ? ^ ^
f<>r2^nI'^^,T^T^T^ ""A " '^ ^I*'- ''^'^""^ ^'"1"^ «^<^'""»«e
•1 111,'- ' ''^- "^ '""''•i^«es ; h<.w many traUons, etc of coal
oil should she receive for (; gal. 1 .|t. of nudas^^e^ / '
12. What will he the cost of carpeting a room 21 ft. Ion- and KJ
ft. 4 ,n. w.de, w.th carpet 2 ft. 4 in. wide, at (m cents per y.-u-dV
XII.
1. Find the value of 25 pounds of tea at $^\ per lb.
Srf 'of^th!?wr^ 1 ' '""'i ^ r.V'\"'^^^ ^''^'^ '^^'^y 5 of what he had. What
part ot the whole cake did he give away I
3. Wy selling a farm at J?75 per acre, the owner rrained $Vi'>0
";1 1;: -V'ti:: S,iT- "^'■"' "•" ""'"" ""^^ ■"^' *"«" "- "-y
part ;/th':f ",.,:i;;:r.:e"il f' " " "^"' ""''• • -^ "- »"-•"• ^^'■'"
6. Wliiit ,,art<.t a ,l„ll,ii- will a i)ouml,,„f boof est, at «,\ ,,or lb. ?
(i. It cost S22.40 to cavpet a room 17 ft. hi. by 10 ft fi in
w.th carpet 21 „,. ,vi.l„. What did the carput cost pi yanl^ '
Hor^,^,cf ShrS,:!.!,';;;":;;!?,! r*""'^- '''""' '« -"'« '- '"•
8. How much must ho added to ? of J to make thu sum of | and J?
KOI ; inn cLASi.s.
15
I
U. I'l'IlH WnlMl r>0 ffllts |H!1- ImIsIu'I, .Itlll ...ifs WOltll .{() CflltM JJOf
IhihIicI well' mi\r.l in ciiual <|ii;iiititiis ; iio l.usliols of the mixtiin'
Wi-n- cxcliJiiiLjtMl foiwlic'it uml l.uilfy in i<|iihI <|ii;nif it ii-s fit Ta rt'iit.s
and 45 ocM.tH |Ki- Inishfl reH[)t'ctiv. ly. ||.,w nii.ny ImisIk-Is of ijuh
kind of !j;r!iin wcro lucuivod f
HI
k
1
10. A l»oy h.is 4,\ pounds of oandiua ; wluit is tlio loust (juiinfity
Hi nnist, Ituy so i?* to huvo nn exHct nuiiihur of pounds i
11. A ni;in l)oui,dit .'U l.u. 1 pk. of Lnrlrv, .ind sold it for 815,
guMuni; J:i!2.5()on the whoh- (pi.-mtity. Whjit did the l.uHey eost hini
pur hushul {
12. I houLcht U'i yjirds of tweed at «)2.\ cents j.er yard, und 24!
yanls of cotton at lOJ, cents a yard. Ho\v"iniu;h n»ore\lid the tweed
cost inu th.m tlie cotton /
XIII.
1. How nnieli is 4 times s of .'i5 i
2. I'lie seed for a fiehl of the z
acconipjinying shape and size cost 2
I.S4.20 when wheat was worth (iO :":
cents per bushel. How many l»ushels
were sown to tlie acre ?
'0 nxlH.
s.
r>!M-<Mi
;{. Add .*?(>;• twenty-eii,dit times,
4. A woman paid .^.'^.72;! for a pound of tea and PJ'^f yards of
flannel. If the flannel cost her 24.1 cents a yard, what dur.she pay
for the tea :'
5. It recpiired i;]20 feet of lumber to build a ti^dit board fence
around a lot 24 yards long and 10 yards wide. What hei.dit was
the fence i °
0. One-iifth. of a certain number is 14ji. N\ hat is the number /
7. A man .sold 7] bushels of wheat at §!2.', ])er bushel and 02 tons
of hay at $?8-J per ton. He paid a debt of >^h{i':l (,ut of the nujiiey he
received, }I<.w many dollars had he left i
8. It co.sts 811). 14 to cover a room 10 ft. (J in. scpiare, with carpet
at 58 cents per yard. What width is the carpet i
9. What number added to 4 times ;] of 25 will make 100 ?
10, If 4 tons of h.-.y 1m. vvortli ,'30 bu.shels of wlioat, and 20 bu.shels
of wheat worth 5 pigs, how many tons of hay can be bou^dit for the
price of ()0 pigs ?
in
PHOriKKsSlVK I'llOMLEMS IN AltlTIlMKTiO.
-A yHi.lH to u„ ,„,,a„n, .{j^'yanls t«. anntluM-, un,l L>.'. vanls t., u Ihini
l~ A Cisdrii is It tec-
iii'iiiy .idditiujial cuWic
ft. long, ft. wi**«, rtiul
I ftwr. witlo, jukI 7 foot (loep. How
-Hi'tli iiiuU |j«. rum.)vc'tl to iimko it 7
XIV.
1 . A PyrHou !. ..fiijht 10^ hushols of chrrriuH, at $1 j.er l.ushel and
Imd ^t 3 left. U..*, ,„<.nv .lollars ha<l he at tir^t / '
COHt ^
2. Ff 18 ponn.ls of «uj,.u .o.st $1.75,\, how nmch vvil! one pound
tT^ roonl'f '' ""■'"•' "''^'' ^^^ "^ ^^"^« !'-• ^^-l" What l^ngr" f,s
4. A man divi.le.l 19.1 pcmnds of candies mnonL' a n.unher of
l)oyH, givn.g eucli 1;^ lb. How n.any boys were there /
wilUaJh^wiry^"^ "^""^ """"^ ' '"^"""' ^^'"^^ I-^^ "f - •»''»-
oatH^'-tf -r" ",^^''''i"^7\J^"i^><> H>- -f luty at $7 a ton, and (]817 Ih. of
poiK wjj was the pork vahied at per II). /
7. A goes :ij-^ n.iles and It 2Jj;| miles each day. If thev trivel in
oppoMito clnoctions for :q days, how many nxiles'^^vil! . he^'bl ajivrt"
-^ggt ^^ *' '^"'''" "'^'^^ '''"'^'^^ ^"^ ''"""'-'"' '"^^^<^ '^ ^^»« ^^igl^t "f one
in./lot!i'esl^f'7ir9"'r^ V''"'^' ''^ '^''"'•*^'^««' ^^^^^^ l"^^*i contain-
in 10 boxes of 1 bu. 2 pk. each, at 30 cents a bushel, for 10 boxes
oUea, at 45 cents a pound. How many pounds of teL were in e.S'
nu^a^t.^r '"'*"^ 'l*'?" ^^=8' ^^ ^2i cents a dozen will pay for 3?
qu/irts of vniegar at 20 cents a (juart i ^^ *
n>^ ul-'^^f' "''f r'^''l^ ^^'^^ "^■' ^'^ C'-^rried 5 miles by rail-
12. Harriet has JR"^ wii'r.>> i - ■■• ' • ,
Jane '^ " '"' '""^'^ "'^'^ ''''"'' ' ^'"^ '""^^^^ has
^.
FOiruTii CLAMS.
17
>«
XV.
Imve 20 lb. ? ' ''"^^ '"""^^ 1 "•'"^ '""■^^ »'- y<^': bu ,• ho hh to
2fi4ii;)il":?S^^i,;;"«'^j^--^^^^ -if «f-f high i.niK..i wim.
^. If i of „ farm est «{HK), wlutt will ;] of it cost i
4. Divi«lu^ of 21.1 hy || of (i,
J ij •. 1. niiiwjiy, tho «li8tHiK:o Ijoihj,' 21 iiiiio.s '
6. if « |.«u,.,i.s „f „ugH.- c,«t $u. 1...W ,„„ch »m a p.„„„,„ „„, ,
perVard 5 ''"'' *'"" ^"' ^ "' " ^'"■'' "' •=■""'■ "'"'t Pric„ i, the cloth
8. VVhun butter whs 4 cents dtmror Mi... ..i
10. One luuulred is f of whut number /
11. What will be the cost of carpntin- a room ^i f. i..„
ft. ni. wide, witb carpet 28 inchJ. wide • t #« '"( . '. ^'. '"r'^ /*'
strips run across the room, and ind cs' jt tHn'be '.'ll ' ' '''
waste 111 matchin<' ' ^ 'i^ ''^ allowed for
O *
XVI.
1. Ho„ many times must n bo :M.-d to j-ivo l.'ilit for „,„„,
,r5.25 ,„.. M, wh'at, was the i:ngth''ome";!:i',i.„'f,/;;r,ir;"'^"- "'"^
18
PROGRESSIVE PROBLEMS IN ARITHMETIC.
I 1
t
r
5. How many s(]uare yards of plasterin<^ are there in the walls
and ceilins,' of a ro<tni 15 ft. 1> in. l(jnu;, 12 ft. wide, and 9 ft. high,
no allowance being made for windows and doors?
(>. A man piit llli gallon.s of water into a barrel of vinegar con-
taining 45^ gallons, i)nt 4^ gallons leaked out afterwards. VV^iat is
the value of the remainder at 70 cents per gallon !
7. 1 bought a sheep for $(),^'j and a pig for $^^ less than the
sheep ; I sold both for ^2 more than they cost. How much did I
get for them '(
8. If a carpenter spends in days what he earns in 4 days, how
mudi can he save in a year of 3<»5 days, supi>o8ing he earns ^IJ in 2
days ?
9. Smith owns {^tr of a certain property, and .lones owns | more
than Smith. If what both own is valued at $^10400, what is the
value of the whole i^roperty '(
10. Harry bought ^- of a yard of Hannel at $j\ per yard, and 2f
yards of silk at $^ i)er yard. How much less than f li did he pay
for both ?
11 A farm containing 351 acres was divided among 5 sons and 3
daughters ; each son got 10 ac. 32 s(\. rd. more than each daughter ;
how much land did each son and each daughter get ?
12. A man who owns ^ of a mill sells f of his share for ^2340 ;
how much is the renuiinder of what ho owns worth ?
XVII.
1. What will be the total cost of the following :
2| tons of bran at $12.| ])er ton ;
4.^ cords of wood at $4i1 per cord ;
3'7* yards of cotton at 8| cents a yd. ;
2.^ pounds of coffee at 272 t^tsn^ts a lb.
2. I divided apiece of land 32 rods long and 120 yards wide into
lots, each 132 feet long and 00 feet wide, and sold' all for ^4(K)0.
How much did 1 get for each lot 1
3. How many pounds of sugar worth fy'g per pound must be
given for 1()!| i)ounds of butter worth $J^ per pound ?
4. Tom, Will, and Henry bought a foot-ball for $3.50. Will paid
25 cents more than Tom, and Henry [)aid as much as the other two.
How much did each pay ?
5. H f of a cord of wood cost ^3, how much would one cord cost?
How much wouhl a pile of cordwootj 32 feet long and 6 feet high
cost?
FOURTH CLASS.
19
I How luiiny men wore .sick ? ^ *^ ^"^ ^^''*^^'-
Lt !>«■ per yard ( * """"' '""' '"""»'• '>'''^" '"^ 'L- cloth
11. A hoy is 14 years of aire, niul his sisfPi- ;« •? ,. t ,
..-ny yoars wll tlu, l,.,y« age lie twice tSS hisLC™' '" '"™
la lf7i cords of wood cost $33, how much less will 65 cord, cost ?
xvm.
a storokt^er'r^e'ir/'^xd.'lrrforT'' '^ f '"'^ T >'""»" »'"'""
coats per M). ; cxcliaiijre for 30 pounds of butter worth 14
2. What fraction divided by J of J of oj ,,„ ^-^^ ^ ,„^ ^^^,^.^,__^,
inchp,a,:;:*wf:;^;,:;;-^i:t:bi;e:i:;iV;?^t
7. Divide2|-Uby| + |oflf.
length of the j.^uniey / ""'"'' ^'^ •'^*^'^*^- ^^'"^^ ''^' ^^^e
{^. ^ f'<''">»<irHol(Ui horses for '»■'">(»(» i^\..fi ix ^ ,
less thun for the second bnf ini . ''1 ^'''"^ '"' ^'^'^'^''^ed S?ir,
much did he get LrS ? mc,re thuu for the third. How
20
PIIOOIIESSIVE PROHLEMS IN ARITHMETIC.
10. To wliat number must you add | of itself and f of itself to
make 14<5 {
11. Two tubs of butter Aveigh together 51^ | lb., and one of them
is 3|-^ lb. heavier than the otlier. What is the weight of each ?
12. Find the cost of ])lastering tlie four walls of a room 17 ft. 4 in.
long, 14 ft. 2 in. wide, and 10 ft. high, at 20 cents per square yard.
I
XIX.
1. A person bought 7h 1^'- <>f tea at 37 ^^ cents per lb. and sold it
so as to gain 501 cents on the lot. At what pi'ice per pound did he
sell it ?
2. A man owns ^ of an acre, and | of this is 41 times what his
neighbor owns. How much land does his neighbor own '(
3. I was charged $1 for 2 lb. of tea and 5 lb. of sugar. If T had
purchased 1 11). of each, 1 would have been charged 41 cents. What
was the price of each per lb.;'
4. I of 16 acres is .j\ of what land a man owns ; how many acres
does he own ?
5. A man earns $18^ a month and spends $3J of it. How long
will it take him to save $185^ I
6. A farmer pk)ughs a fuiTow 8 inches wide the whole length of a
field in 5 minutes, and it takes him 7 hr 30 min. to phjugh 2 ridges.
How wide is each ridge '(
7. Of what number is 2| the ^th part?
8. How nmch will it cost to plaster the w'alls and ceiling of a
room 13 ft. 6 in. long, 10 ft. in. wide, and 9 ft. high, at 30 cents
per s(piare yard, deducting 13| scpiare yards for windows and
doors ?
9. If 1 sell a lot of '^ of an acre for f 50, what is the value of 50
acres ?
10. Three bags of wheat contain 9 bushels ; the second contains
1 bu. 1 pk more than the first, but only 1 bu. more than the third.
What is the value of each bag at 80 cents per bushel ?
11. A owned i^ of a farm of 210 acres. He sold ^ of what he
owned to H, who sold h of what he bought to C. What is the
value of (Ts land at ^40 per acre ?
12. X man who had |^ of a cord of wood, worth $4| per cord,
gave f of the wood for hens at $.\^ each. How many hens did he
got y
Fourth class.
21
XX.
1. How mucli is ^ of 3 tons 105 11). 4 oz. ?
for n4nh" T" P^/'::/:^ ^''^ '""^ '•' '•"• l P'^- ' K-I. of l,arU.y
b:rle;^;:;t,t/T' '"' ^■^'■^l-^'-'^- ^Vhat wus the vnluo of tl.c^
«»ll^' 'h''^''''''''''^:i'^^'"'''*".^''iM>onsattherate(.f r>f.^^ ..n.l l.v
5
'4 of 8,«
4 0' 1.,. "J. "i O,'-
"». A piece of hwi.l 1 mile s.p.ure u-us divi.led int..4(K) o(iuh1 lofv,
How lUHiiy acres were in 20 <,f tlie l..ts ^ '
<>. Two cisterns contained to<rether .•{.'U' <r-ill,,,w ,,f ....f .. * i
^u„r;::;:t, S F ; zu..,t-:!!!::;-'^:T;X
7. H<.w nmcli nu>st he added to ^ cwt. to make I ton ?
room n ff'-r'" !'" ^''« ^-■'^^' '.'f Pnii.tin^^r tin- walls and ceilin.. of a
lo m U ft. .i Ml. l,.njr, <} ft. 4 in. wide, and 10 ft. (; j,, hj.d, at '{
etnts per s(iuare yard / ni^fi, at .>(>
J). H(nv many .yards taken from ,«, rd. will leave •' vrl for
remanider ? '' ie.ive y ya. tor
hal/' Viiir^ """•' ''"'' "f •'"''»'•< ■"••"■l.le.,, n,.,I Nf,I w„„ the other
wn„i„i H ",'"",".'"■■ ""■"y '""" •■'« "■"• Ned Imd 12. After
12. Find the smn of Z rd., ? vd and ' in ..., i
answer in yards, feet, and inches^ ^ ^ ' '"^'^ "'^'"^'"''^ ^'^"^
XXI
3. Reduce H i of (3^ - i of f ) of li - ] to its simplest f<.rm.
4 By selling cloth at 92 cents a yard, I gained ,^ of the cost
Find my gam on two webs of 50] yards each.
S2
Progressive problems in arithmetic.
5. A j^rocer pfvid !j?84() for a (juantity of ica, and sold part of it for
$14, at 50 cents per ])ound, by which price he gained $5.60 on what
he sold. How many pounds did he buy ?
6. Multiply 59 bu. 3 pk. 1 gal. 1 (it. by I.
7. After ])aying his expenses with ^ of his earnings, a workman
saved $<) in Ofl days. What wages did he get per day ?
8. A boy had a journey of 15 mi. 187 rd. 5 yd. to go ; he walked
3 mi. 6 rd. 1 yd. the first liour, and 2 mi. 80 rd. the second hour ;
his average j)ace of walking per hour during the rest of the journey
was 2 mi. 20 rd. 3 yd. How long was he on the journey ?
9. Divide 41 tons 1 cwt. 37 lb. l)y } l-
10. How many times can a measure which holds 4 of a gallon })e
filled from v| of a barrel of coal oil containing 47h galhms '(
«
11. A butcher bought 4 cattle, weighing together 4300 lb. at 4
cents per lb. ; the first weighed 50 lb. less than the second, but
100 lb. more than the t/liird, which weighed 150 lb. less than
the fourth. What did he pay for each '^
12. Divide 110 mi. 290 rd. 2 yd. 1 ft. by I23.
XXII.
1. What is the least fraction that must be taken from 62 to
leave a remainder exactly divisible by 4| ?
2. What is the price of pork per lb. when my butcher charges
me 92 cents for 6 lb. of beef and 4 lb. of pork, the latter being
2 cents per lb. cheaper than the former ?
3. A boy can hoe a row of potatoes in ^ of 1 hr. 7 min. 12 sec. ;
how much can he earn in f of 17 hr. 38 min. 24 sec, at 10 cents
a row?
4. A farmer employed 11 men 36 days to drain his farm.
After they had worked KJ days, he concluded to have the
remainder finished in 11 days. How many additional men must
he employ ?
5. What quantity nnist be added to ^ of 2 tons 3 cwt. 2 lb. to
make the sum of 'l of 2 tons 15 cwt. 85 lb. and I of 12 cwt. ()4 lb ?
(). In the forenoon, a boy lost 4 out of every 7 of his marbles ;
in the afternoon, he lost 5 out of every 9 of the remainder, and had
20 marbles left. How many marbles had he in the morning?
7. A grocer mixyu 30 lb. of tea at 50 cents a pound with some
cheaper tea. and sold the mixture for $22.50, at 45 cents a pound,
gaining $1.50 on his outlay. How much did the cheaper tea cost
him per pound ?
FOURTH CLASS.
23
4 T » ui y or ^4„ - j^ ot U) to its simplest form.
fT, ^"^^'/^.f '' ^''"^' '^^''''^' ^■'^ ^ full, u person pumps :{r,().rall„„s umi
then h„ds that it is ^ full. How many gallons <lLs the^aiik hold I
4 oH'f -Tr ^"*'''" ^>f >'""<;«, weighing respectively (I cwt. 17 U). and
I K !: ' ;; '^'"'' ''"^'''"'^ ^''•*"' '^''•^•'•"t" ^'^ ^^amonton l>y the C I>
the other. Mow much did the carriage cost per cwt. 'i
11. Fmm the sum of ^ of 4 s<i. rd. 1 s.,. yd. and 2 of 8 so vd
sq. ft. take /^ of 4 s.p r<l. .'3 s(i. yd. ' ^' ^
J^th^sr^nnfiVf'"''"^' three persons, so that the first shall get «3,
t the second $2 for every 75 cents given to the third.
am
XXIII.
1. What is'tlie smallest number that must he added to 96 to aivt^
a sum exactly divisible by 5^' / ^"^**
2 Allowing 4 bunches of shingles to a s.pmre, how many bunches
wiHJje rcMuired f..r a roof 'SA ft. 4 m. long, each side being 15 ft
.3. What part of 2 bu. 2 pk. is .3 gal.?
.1 -/■ t^7^'f''^'\P"tJ)(;,lox.eneggs int<, three baskets. She put 1
ozen in o the hnst and 7 eggs into the second for every 5 e'J put
a persoXd'K'l'"" f, "^ i '' '""""^' Vr''^ *''^^'^ -^ "^ *''^' remainder,
a person had $42 less than he spent. How much had he at first ?
WiH'7/l'r ''^'"V^?" "''/^"";r^ '^' ^'"'" -^^^ i"M'ers. Tom sold 7 while
Will sold 5, and at night Tom had sold (i more papers than Will
How many papers remained unsold ?
7. What fraction of 'A yd. 2 ft. is 2 ft 1 in.?
wilUani sisH inT"/^^^ "; t 'l''^' "^ ^? ^^'^"'-'^ ^'^^^' l'"^ many men
will earn ^^H8 in (> days of 8 hours each /
1». What fraction of 1^8 is j of a cent ?
at ^^Irli lb ^ - t ^^^;r'^"V" ''"'^ ^^ 1«^ • 4i lb. of coffee
--"• -x •; ' ■• '."4 ">•"! ^2cc at 4 cenw pc-r ii.., i2* il) of suwirat
6 c:n : z b ' si b "f ''' '' 'f ''"^'^^ "'•' ^^ ^- ''^ ^^^-- ^'
f>L u iP^ ' ^? ^^- ""^ currants at 4§ cents per lb. Make out
the bill in proper form, and show to whom the balance is due
54
1'U(k;kI':ssivk problkms in arithmktk'.
11. A looin 15 ft. \) in. Ion*,', ft. 4 in. wide, .-ind 9 ft. \) in. lii^^li,
liiw a (l(M>r 7 ft. 7 in. by .'{ ft., a window 5 ft. hy 4 ft., and a skirt-
ing-hoard 9 in. higli ; alhtwing for the area of the window, door,
and skirting-board, wliat will he the cost of jilastering it, at 28 cents
l>er s(juai'e yard ?
12. In tisliing f»tr tront, a hoy lost | of his line ; he then added
11 fe(!t and found the line was ^ of tlie original length. What was
the length at tirst {
XXIV.
I!
. ill
1. 1 j)aid ^95.92 for the following: 1944 11). of harley at 44 cents
per hushel, 2r)()() Ih. of coal at $(\ per ton, 3rAH) Ih. of hran at ^12
])er ton, and a iiiniiher <tf pounds of pork at $<).4() per cwt. How
many j)ounds of pork did I receive?
2. 1'he owner of a lot containing 3 ac. IG S(j. rd., sold 1 ac. 4 s(j.
yd. What part >" the lot did he sell ?
',K When oais W(M"e wvrth 34 cents per bushel, a man fed 20
bushels to 3 horses in 4 weeks ; the first horse got 7 lb., and the
second (J lb. for every 4 lb. fed to the third. What was the cost of
(»ats for each horse per week (
4. Thomas bought marbles at the rate of 5 ior 3 cents. After
losing 3 out of every 5 one day, and (5 out of every 10 of the remain-
der the next day, he had 28 marbles left. How much money did
he spend in buying the marbles ?
5. A fence feet high casts a shadow 4 feet, and at the same time
a tree standing beside the fence casts a shadow 5(5 feet. What
height is the tree ?
(J. A person exchanged 2| yd. of cloth worth 37^ cents a yard
and ^ lb. of tea for 2^ lb. of butter worth ICrh cents a pound and
,",Y gal. of molasses worth 90 cents a gallon. What was the value of
the tea per ])ound ?
7. I divided 200 apples among 7 girls and 6 hoys, giving to each
girl twice as many as to each boy. How many did each get ?
8. By selling hats at 90 cents each, a merchant clears J of the
cost price ; he then raises the price to 99 cents each. How much
does he clear on every $27 of outlay by the latter price I
9. At 26 cents per square yard, it cost $14.82 to plaster the walls
of a room 15 ft. long and 12 ft. wide. Find the height of the room.
10. A brick wail is 20 yd. long, 15 ft. high, and 3 ft. thick ; each
brick is 9 in. long, 4h in. wide, and 2h in. thick. No allowance
being made for mortar, how much did the bricks cost at $8 per M ?
ii^Ot'KTH CLASS.
11. Divide 'i .,f 4 mi. 20 id. l> yd. l,y ,-, „f |
2.'5
mi. 127 r«l.
t.aN.lIed 1 1] nules. H„w .n.my acres we,v ,n the field V '
XXV.
s
IS
Q 4 11,.. '" '""--'»nn cue tune
shar^ .iri'?f l>'^ ''' ^'''^r^y ^»<l t^ U'-' rest ; D honuht ', .,f A',
the value ^ the falii,^ J^ '^'' ^' ^'' ^''"^' ''^' pnrehase.l. What ^va^
roll^win' hi '!'""•■• "'1''^ "^ ^vall-,,a,u.r, 18 i„. wi<le a„d 8 yards t<. the
1 ft I 7"';-'^ ^7 '' ••■"""' '- f^- *' '»• '""^'' « f^ <» i". vide ami
10 ft. h.^h, <h'duoting4stnj.sf„r win.h.wsanddocrs ^ vv>at,aiul
.'>. Heduce 8 chains to the fraction of 120 rd t\ iv
each ho't, ;:•;,;; ;;:':•, """' '""">■ i""""'» -"i •■— --■« f^i *<>
9. A vvonian .sold <i chickens, 5 ducks, and 4 <.ee,se for S(i 40 SI.p
10. Express - of 2 lb. 5 oz. us a fraction of a ton.
11. A stick of .scjuare tind.er .'i2ft (I in h.M.r 9 ff i- - -i ^
XXVI.
out the account in your own nanic\
2. PJxpress | of an acre in sq. rd., sq. yd., etc.
126
PROOUKSSIVK PltOHLEMS IN ARITHMETIC.
.r
11
y ill
3. A room 15 ft. 8 in. lon^, 11 ft. 4 in. wide, and 10 ft. hijLfh Iwis
two door.s, ouch 7 f^- '>y '^ ft., and tw<» windows, u.-ich <> ft. by 4 ft.
PIstiiMJitinj^ ;i l)undlo of lath to cover 5 .s(i. yd., how many bundles
will bo ru(]iiirod for the walls of the ro(»m ?
4. For 23 cords of wood at ^i a cord and 2? bushels of oatf^ at
$,^ per bushel, a man receiveil in exciiange 4;i^ yards of cloth at $2f
per yard and 2i pounds of tea. What was the value of the tea
per pound {
5. .James can run around a circu! ir racecourse in 10 minutes, and
John in Jo minutes. If both start from the same place at the same
time, and run around it in opposite directions, in what time will
they meet?
(5, Five-sixths of a certain number exceeds I of the nmuber by
124. Find the nund»er.
7. If 8 men, working 10 hours a day, cut 48 acres of g! dn in
2 days, how many days \V(»uld it take ',i xiuni, working 8 lujurs a
day, to cut 'M acres '(
8. For a load of hay which was weighed on scales that gave
oidy l!h">0 lb. t,o the ton, a man received .^7.20. How much money
was the buyer cheated ?
9. A lot IV.) ft. long contains H) s(piare rods of land ; the entire
lot is covered with cord wood piled 4 feet in height. What is the
value of the wood at ^tJ.20 per cord '(
10. Express 24- 2f of 1| of '3^+2^^2} - f hi its simplest form.
11. For a quantity of tea at 04 cents per lb., coffee at 32 cents
per 11)., and sugar at 8 cents per lb., a grocer received §?12.80 ;
there were three times as many jjounds oi coffee as tea, and four
times as many pounds of sugar as coffee. How many pounds of
each did he sell ?
12. A fence ^ of a mile 'ong cost $50 less than if it had been |
of a mile in length. How nnich did the fence cost '(
XXVII.
-^
1. How many s(piaro inches of papernvould cover the surface of
a cubic yard ?
2. The difference in weight between two parcels of sugar is ;|
of the weight of the lighter }>arcel, and both together weigh 9| lb.
What is the weight of each ^
3. A farmer had enough hay to last 10 cows weeks ; at the
end of 2 weeks he sold some of the cows, and the hay lasted 7
weeks. How many cows did he sell ?
frOUKTII Cf.ASS.
57
9| lb.
4. .I;u.,es IJrown sul.l t„ Tl.n.u.is Smith ll... fnllouinir nrtic-lps t<.
Hpply on an <»ver(liiii iiooiint of $;-)(>; ^772 i|, ,,f |,:,.|..,, .,. -.,,
^r'^i i^r ':•' ';"' l^;' ^'^'^^ '^^ '- -'"^^ -• »>"•, i.i ti'^^f 'l :k
.it ;^(,.J., per ewt., 48!) ^..s at Ki cents a .lo.en. Maku <mU the
above account ni proper forn., sh<.vving to whon. the balance is ,lue.
will It cost to fence the lot at .«r» for 4 rods .,f fence {
8 Htp as cah es, three tunes as many lambs as sheep, payin- ,^«ilL' for
H. On a certain map .p,f an inch represents !> n.iles of nmntrv
JJ;TJ'mr:!;;;;r r''"^ '' ^"^^ ""^'^ ^^-^'^ -^''---^ '^ ^-^ --^ --
,.n '^* ■) p"/^!? '' '^i'*'^' "' -^^ '^'^>''^' '""' ^^ i" '^^^ <l'-iVM ; A be-ins at
r'f n r.1";'""'' T^' '^"'' ^''^'>' ''-^ until th^ meet^U^.
pint of the ditch does each man .11^ V
10. Fron, a b(,ard containin.4 !> board feet, a piece 4 feet in lencrfh
WHS cut off, and the board then contained V, i,oald Lt Vlu t ^ s
the length and breadth of the board at first /
1«V/ '^-f 'l""f^f ;f '' »•""[' ^«^ch side of which is .'{2 ft. long and
wide, t uid the nund)er of sliiu'des
12. By selling a certain number of papers, a newsboy gained '>0
nil t,!:;:;lM:":;ia t"' """^^•"- " '^" "■" '--'^'-
XXVIII.
. 1. A boy can dig a bushel of potatoes in \ of an hour, and can
pick ?0 bu f " '"""'"" '" '"" ^""'>' '''""•'^ -" ^- <"« -»^
• \ Four sections on a railway are (J mi. 140 rd 2 vd 1 ft d
5 mi. 318 nl 2 yd. 1 ft. o in. respectively. It takes a train 1 '
hour r '' ' ^"'■''' '*'''''' '"'• ^^''"'^ '"'' ^^'' '"'^'^ "^ ^''^ ^^'*"" per
3. When measured wich a yard measure that is l of an inch too
true iengthT ''^'^'''''' ''* '°"^^"' ^^^ ^^'*^'- ^^'^^^^ ^« '^^
98
PROGUKSSIVE PKOnLKMS fN AUITIlMETIf.
•iii ■
4. Allowin}^ tlu! Hliilliiiif to l»c wortli 24.', cunts, what will he tho
amount of tlio following in (/uniKlijin in<»ney : .'{(> tons of boiler
|)|jiti!s at 1*15 14h. (>(1. jua-.toii, 10 tons of holts at X*.> 12h. jkt ton,
J(M> tons of stuol rails at i'14 Ms. (id. per ton, 2H tons of l>ar iron at
4'12 78. j)or ton i
5. What qnantity addedfl times to 02 tons 140.*nh. 14 o/. will
give KM) tons for result {
(J. Six hoys eni(a<^o to hoe a field <»f potatoes in days ; after
workin*,' 2 days, 4 of the hoys leave. In what time will the field
he hoe<l ?
7. A n>an hou<jfht a hasket of ju-aches for 'Xf cents ; .', the value of
the peaclu^s was e<pial to (5 times the value of the hasket. What
was the value of each !
8. A team travelle<l 10 miles in rolling a tield of 10 acres. What
width was the roller (*
t>. A can do a work in 40 minutes, 11 in 1 hour, and C in 2
houj-s. in what time will ,ill tln-ee do it if tlu^y work toujether ?
10. Divide 20<) mai'hles anioii^' danms, Harry, and Th<»mas, so
that .lames shall get 20 less than Harry, and 4 times as many as
Thomas.
11. What will it cost to fence a S(piare tield '.Ui) links on each
side, at Jji?! for 1 yd. I ft. ?
12. The difference l)etween two fractions is ,\ of the laryer
fraction, and the sum of the fractions is 1,''^. Find the prt)duct (jf
the fractions.
Decimals.
{Tnclmliuij Frevlous Worl:.)
XXIX.
1. How many tentlis are in \ 'i
2. How many hundredths are in | ?
3. Exi)ross ^ |y as a decimal.
4. When ])eas are 15 cents per })ushel dearer than oats, a man
receives 81!).20 for 20 hu.shels of |)eas and 10 bushels of oats. Find
the price of .'iO bushels of peas and 40 bushels of oats.
5. Find the sum of thirty-eight thousandths, five nnd twenty-
seven hundredths, and one hundred and ninety-three thou.sandtU8.
2.
wood ]
is ^3;
rOUKTH CLASH.
will
inHnyu..re men w<ml,l l,e rt.,,mre<l t.. .li. it i„ ..no-thinl , ,
7. Add fi, U, .(HUS, 4I()!», •<><»!», .md lH-7.
than li, and three tunes as nn.cl. as C. Find tlu- share uf\.ach
«. One man own« 8l>(M>7 acres, another !>H acres, a third 1-88(54
acres, and a fourth 2(M)85N; acres. How n.any acre.i ill all InvnT
10. Tom and Will w..rk in- together can hoe a patch (,f potatoes
1 r hours, and \ dl ah.ne can hoc it in 15 hours. In what n^e
could lorn al(»ne hoe it ^
and ^,.fu hat then reman.ed t.. H. If H paid S2m) n.nre than
A, what was the value of the foundry f
12. If 2 geese are worth as nnich as .'{ ducks ..r 4 chi(k,.ns huw
nmny ducks are worth as nmch as ii geese and 8 chickensV
XXX.
1. What must ho added to 2'\mH) to niake ;i(MM){> !
2. A piece of land contains (i4 s.p rd., and is covered with cord-
IS ^JjO, what IS It worth per cord ;*
^ ^3. By how much do.3s 55 exceed the ditterence l,etween "55 and
hi/ ^r^"". ^'\^^- ^\ i"-.^^'">^'' 1^ ft- '-' i". wi.le, and 10 ft. 10 i„
high with a baseboard 10 m. wide, has 'A win.lows, each 5 ft. 4
by .i ft. (, ui., and 2 doors, each b ft. 10 in. by [i ft. b in H.,w manv
yards of paper /, of a yard wide will be re<iuired to cover the waffi
T..i' ?^^ ""^ .Nelson's farm is e.pial to = of Taylor's, what part of
Taylors farm is e(iual to -^V, of Nelson's i? l "i ^i
6. Frcmi 412.268 take the sum of 6.0008 -'04 and 358- -197.
7. One horse being e.pial to 2 oxen, lu.w long w.,uld it take 24
horses to plough 32 acres, when 10 oxen can plough 8 acres in b
8. From four and two hundreths take twenty-seven thousandths.
9 Divixle 99 cents aiuong three boys, giving the first boy 1 cent
iuss than the second, and three times as many as the third.
30
PKO<JRKSHI\ i; IMlOliLKMH IN AlUlilMKTir.
' i
10. A fiitlior (livi(l(!(l a .sum of niiiiit y hiiiui;^ liis tlin-f scuiH ; Julm
got, i{ (tf till! Kuiii, William '^ of tin- tfiiijiiiKU-r, and Honry tliu ruHt,
which waH 10 ceiitH ninrc than .John got. How many nioro cents
<li<l .lohn j^t't than William i
11. A hoy loHt •IJ'i (»f his marhh'.sont! (lay, "IMT <»f tlieni the next
(lay, and 2 of tliem the next. What jiart <»f his marhleK had lie
then '{
12. A can (h> a |ti<.!c»! of work in 40 hours, 1! in 0(1 hours, and C
in 120 houFH ; A and IJ work at it 10 hourt*. In what time will
C finish it i
XXXI.
1. What is the least (jnantity that must he added tt» the sum of
.'{.072, 10, and '27 to nuike the result a whole nuniher ?
2. If horseH eat 13 hu. 2 pk. of oats in 8 days, in what time
will 12 horHes eat 15 hu. 'A [tk. (
3. Simplify :U+?|-^4-n.<'f-^^-il-
4. From the sum of 41 hundredths and .'JO thousandthH take their
difference.
5. What quantity subtracted 5 times from KK) miles will leavo
28 mi. 205 rd. ;{ yd. 1 ft. for remainder '.
(J. By how much does the diU'erence between ".'lO.'iand 1 exceed
the sum of •(►2;{ and -28 ;*
7. In buyinif a <|uantity of tea, I was cheated HO cents by a t^rocer
giving me I5j] oz. for a pound. Mow much did 1 pay the grocer
for the tea ?
8. I received ^8 for tw(j loads of wood, each 10 ft. 8 in. long, 4ft.
wide, and 2 ft. 'A in. high. At what price i)er cord did I sell it ?
9. With a roller 8 ft. 3 in. in width, how many sipiare rods of
land will be rolled in going once around a field (50 rods long and 50
rods wide ?
10. The posts in a certain fence are 8 feet apart, and a man riding
a bicycle passes 11 posts every (J second.s. How many miles per
hour is he going V
11. A man hired at the rate of $210 a year. He Ixjgan work on
May 11th, and ipiit on Sept. 18th. What wages should he receive?
12. .l;iii(> had .'50 chickens, and Msirv h;id 15. E=u'h girl soh.l the
sanie number of chickens, and .lane had then seven times as many
as Mary. How many did each syll 'i
FOUHTII CLASS.
:u
XXXII.
1. A.M 7 OiViO tnjrt'ther twonty-fivo times.
2. A property is v.-iI.umI at !«'J.%(HM>. an.l h pors..,, uIlmuvms h rrr-
t III. sli.uo of It recoiv(,H «t|«;(MM) f,,,- i of u hut he ow..J VV / V
t.oM of the property di,l h. own ? * ' ' ^^ '""' *''^^'-
of ,;\on""' "'" '"^"' ''"'^'''^ "^ -•*'' '"■''^'^••f ''«>'' ^«^^''' ^--'iKl'ing 084
4 "W inen A, P., nn.l C. can .lo a work in i h.Mirs • A -ilone
u^e'i;\,,:v,"„:,r!';;;.";;:;„.r;' " ^" '^' - "■■» '■■-«■■!'''
5. Find the product of 0101 and OOKM.
Whl; ihr'"^ of ^'round i.s 38-4 yards lon.t; and 7-84 yardn wide
What 18 the area m .s(iuare yards ? ^
nerlu.^ut''^ TfiTf ^ 1 fl'f '"'^ ''!;'''^' '':^'^^'""'.^ potatoes at 30 cents
per l.ushe . Ha.l he sold them at 40 cents per bushel, what fraction
of the cost price would he have ^.^ained ? traction
^^a From the product of -H^,} and '098 take the product of 20 and
wol!!i Aon'lf ''^ t'""'"'!: -"^ ^'^^ ^""S, 10 in. wide, an<l 8 in. t hick
i:::i^w ke ^c^^sS^"^^^ ^ '''•' ^^"^''^ -^^^ "'• ^^'-^ - ^^e
wiJe aU5l:;Ji p^Joi^ '""^ ^ '^^' '^'-'^ ^"'^« ^''"^ ^^^ '''^ -^^«
12. The iirrai of I'rineo Edwanl Isliind i» i", „f tl,,,* „f w,,„
EdS Wand? ' ''"^""■' "f ""^ ''™'"f """-'" i» """ "f l'ri"eu
XXXIII.
its VHl,fe Irm.w'^ef,: "''° '""" "'"' •'" "' " ""'" ""'"■ ^^•'■-
foet\i!l!':i 'i„!to irJrcotir "" °' '"''"'"'"' *'-'' ^^^'^ '"■■« -"• -'-s
IS
32
I'ROtJKKSSIVK I'nOHLKMS IN AKITHMKTIC.
! '\
li
4. Tlio liay grown on a certain field will last, fi liorHos or 8 oxen 8
weeks. How long would it last 1) horses and 20 oxen ?
5. A person who (jwned ■7'M> of a store sold '028 of his share.
What part of the store does he still own (
6. A man bought a load of potatoes for $1(1.20. After using 14
hushels, he sohl i.| of the remainder for ,i?8.80, gaining ^l.GO on what
he sold. How many hushels were on the load ?
7. From a web of cloth containing 100 yards, a merchant sold 7
I)ieces, each 1-2 yards in length. What is the value of the remain-
der at 25 cents i)er yard ?
8. If I sell a [)ound of tea at 45 cents, Tgain; if T .sell it at 30 cents,
I lose ; the gain l)y the fonner price is 7 cents more than the loss by
the latter [)rice. Find the cost of the tea per lb.
0. The total weight of 4 bags of wheat is 10 bushels ; .*i of the bags
average 2(>4 bushels each. Find the value of the fourth l)ag at 75
cents per bushel.
10. If 8 cows and 12 iheep can be kept 3 weeks for $12, what will it
cost to keep 12 cows and 5) sheep for the same time, allowing 2 cows to
eat as nuich as ',i sheep ?
11. One man can do a ])iece of work in ,\^ of a day, and another can
do it in yV, '^f ''i <^l''iy- It' both work together, i what time will they
do the work ?
12. A certain building covers 1 ac. 15(5 s(|. rd. 13 iH[. yd. 4 s(]. ft., and
is 242 feet wide. How long is it '(
xxxrv.
1. The total weight of 8 equal parcels is (J0r>04 lb. Wluit is the
weight of each ?
2. A cellar wall is 2 feet thick, and the cellar insidethe wall is 24 ft.
long, IB ft. wide, and ft. deep. How many cubic feet of stone are
in the wall ?
3. How many times can you subtract '0008 froui 977 (HM ?
4. A and B can build a wall in 10 hours, H and C in 12 hours, and A
and C in 15 hours. How long will it take all, working together,
to do it ?
5. Divide ()8025r. by -OL'OIJ.
('». A (piantity of chicory at 4 cents a pound was nnxed with 30
pounds of cotree at 28 cents a {)ound. If I the co.st was gained by sell-
ing the mixture at 27 cents a pound, how many pounds of cliicory were
used '(
FOirilTH OLASS.
33
7. Kxi,res.s a link in inches and the deciniHl of an inch.
B^ Uu, all the ,;; -nl'^^ ^^\.^'aTC ^'^ 1^77-
cost price on the l.arlev and lost ' ..f f). \ "'"""''^ '' "^ ^''^
What was his total i<.sfo;;;li;;on^:ii /''""' ^"'""" '" ^^'^^ ^^''-t-
J*. The jn-odiict of two numbers is 7-<5<!^(»i« i r ,
numbers is ()4<;7-8. What is tllo other ? ' '"^^ ""'' ''^ *^'"
10. Theaveraj,'e width of five lots is 7 rd '> vd I f^ in
S?S ;v.dth of four of then, is . rd. 3 ;i.^^ ft? '^.IJ^^^t ^
J^H^^rt wS!iJS;rcr- -- chains Ion,
12. Express | - H(4i x ^ -2| x |) + | in its simplest foru..
XXXV.
1. If 2-4 lb. of tea cost 01-2 cents, how much will 275 lb. cost ?
2. What number divided by 4iL-(''x? of 1 • a\ i •^^ • «i
for quotient ? "^ "^ ^s^iot^-^)-^ vvill give 2^
3. Divide the product of 4-0004 and -0003 by •(KK)12.
4 A farmer sold p of his land for $2(MM), at SHO i.er icro Wh-.f
Hhould he get tor the remainder of the land at .^0 ^^r acre ^
quiieil^T ''"'"" " ''■' '"'^ ^''^ '^•--'- '^ •^'^^'- Wl-t is the
u,^ (Uys. In uhat tnne can both together plough it V ^
8. For a certain work 18 men *M wnm<>n ..,wi o^ • i • ,
^1 40 T».r ,1..,, -^r ' " women, and 2/ girls received
fe««i.->. Aruvv inucn (iKi eacli earn ])or day /
12-qnf?^^'''"^',^!^lw^"''*^"^'"'^'^"^^' »» oxcavati(m27-nft lon.r
12 Jb ft. wide, and (J-.'i ft. <leep, at 25 cents per cul,ic yanl / ^'
secmHl^ 't'/ ""' '' ''''^"/ '"^^ >''^^^^ "* 10 secomls, and B in 12
34
PKOfJRKSSIVE I'UOULEMS IN AUITHMKTIC.
St
11. Wlien p of ]"832 is taken from a certain number and | of
•070 added to the remainder, tlie fsinn is 5. What is the number i
12. A certain sum of money has (i times itself add 'id to it, and 8
times this latter sum diminished by Jft'14 leaves a remainder of
$1498. Find the original sum.
XXXVI.
1. A field containing 8'35.S!)5 acres is 4(>"2<) rods h)ng. How wide
is it ?
2. A man paid $50.40 for cloth, and sold part of it for $10.80, at
55 cents a yard, losing $1.80 on what he sold. At what price per
yard must he sell the remaining cloth to gain $3 on the whole
transaction i
3. What decimal of an ounce would represent ^{\ oz.?
4. I ])aid $14.40 for a piece of tweed which was measured with a
yard measure tliat was 1 inch too short. How much should I have
paid ?
6. Express 785 of a week in days, hours, etc.
f). On a certain map "75 of an inch represents 10 miles of country.
How many scpiare inches of the nuip would represent a township
containing 7<>800 acres ?
7 How many dozen peaches, Ixnight at 3 for 2 cents and sold
at 6 for 5 cents, will give a profit of $1 ?
8. By selling lambs at $2.80 each, I gain '4 of the cost ; at
what price must I sell them to gain ^ of the cost ?
0. A can roup a field in 4 days of 10 hours each ; B can reap it in
5 days of 12 liours each. In how many days of hours each, would
both together reaj) it 1
10. Reduce "953125 of a bushel to pecks, gallons, etc.
11. Divide $180 between two men, giving one | as much as the
other.
12. For 4*4 (quarts of molasses at 81 cents per gallon and 3 spools
at 24 cents per dozen, a person received 4*24 pecks of oats at 35
cents per bushel and 18*50 ounces of tea. What was the value of
the tea per lb.?
XXXVII.
1. A ditch 1 mile long, 4 ft. (> h). wide, and 3 ft. deep was dug
for $()(>0. If each man employed dug 5 cubic yards per day, find
liib daily wages.
2. Whatdecimalof a toni^SOlb.?
FOURTH CLASS.
35
yar,,s ,,„.., ,,„a 40 ft. „,,,e. vvi.^t ,=''4,',;";;;!, Jirfeir'"" " '"' ^
the seeo„a',l:r^ ",'!;':':;:: '™ '-="- ■;""""« ■"» ""- »- •
receive,! | as u.w.y h^XL ^U , !" {.'l^r Wh' i" "''"'' f"' '''^ «""'
of Mio furiu ? «t^cona. W luit vvhh each hou's slmre
6. Ex„ros, 15 cwt 5, lb. 4 ... i„ ^w, an.. U,o decin.a, ., ,. e„t
forL.lr/.::'r;i:e;irf,';r,:";,;^r'.'f ;'„"""■ » " '",- - ■""-
th.m the cart a„„ „ar„.„., uJl^^uH t'lc'hStlfc 't' '" ■""'''
8- How ,„atiy times will .J contain -0(10(11 ;
wm'n.of;'ij'rrer;:,'"';::i..:5 ■"' ''-^'-^ ■" ^ i-ura, ■.„„. „.»„ „,„„
10. Expres, 2 r... 2 ,,, , ft. ., ,, ,,, ,,,^ ,,^^.. _^_^, ^^^ ^^ __ .^^
^vide, and 3 ill. thick •mrl :,'•'''' /-■^^» l)nok was 8 in. Ioiil', 4iin
the cost, of the ;S;";,!/j;j. ''''•^•^-- -— d its bulk ,V lind
of "f m'S>8:^. ^'.;::^^'^&i''^^^ TI ^'^ ^^^'^-^ ^-- ^he sum
tjxact number of time"/" ^^-' ''^ *'*^^^ ^^ ^^^^1 contain 7-04 an
Percentage.
{Including Prerioiis Work).
XXXVIII.
1. How many hundredths of . numher is 1% ?
2. How many pounds of IiavivnrfT. c/*.o-
■n e-,,an«e f.,r 4 tons of ol't^^-^LM;; t.r;™,tS.'^ *"™"
J- " hat per cent, of a number i, | of it ?
mort '^z:'^'^jz li ^!;™ o*s;'„t«uf " ■■ ^ ,»"»■" »
tnnes as much as A. How n,„cl, .lid eaci; spend' '"""■'' ""•"' ""«"
5. What fraeti.,„al part of a number is 01% ?
at the IS:,;- ^,st ;:!;:;\:;t:: :;-" 'r ^-^ -.. -...wn,
in length ? ""^^ ^*' l''^'^'^ tlirough a tunnel 170 yards
H
w
36
PROKIIESSIVE I'RORLKMS IN ARITHMKTIC.
7. What fractional part of a lunuber is 1%.
8. In 5 hr. 8 niin. 15 sec. a man walked 15 mi. 128 rd. 22 yd.
How many miles an hour did he travel ?
9. How much is 5% of $00?
10. Ill a race of 220 yards, A can beat B 10 yards, and C 20 yards.
What ^istanco can B beat C in a race of 140 yards ?
11. What per cent, is $3 of .^50 I
12. At what times l)etween 4 and 5 o'clock will the hands of a
clock be (1) together, (2) o[)po.site, (3) at right angles?
XXXIX.
1. What per cent, is 3 feet of 40 feet?
2. Two parcels of tea together weigh 12'875 lb., and one of them
weighs 2"(>25 lb, more than tlie otlier. What is the value of each
parcel at 48 cents per lb. ?
3. How much is G per cent, of 3 lb, 2 oz,?
4. Two men rented a pasture-field of 12 acres at $4 per acre.
One man put in 3 cows for 4 months, and the other 2 cows for 2
months. Whf\t portion of the rent should each pay ] ^
5. How much is 8^ per cent, of mi, 80 rd,?
<], If 9 men, in 10 days of 9 hours each, can do | of a piece of
work, in how !uany days of 8 lujurs each, can 5 men do the whole
work ?
7. Wlial per cent, is 1 hr, 20 min, of 2 hr. 5 min.?
8. A man divided his farm among his three sons ; the first son
got 37i acres, the second got | of the farm, and the third got as
many acres as the first and second together. How many acres were
in the farm ?
9. What per cent, of $5 is 25 cents ?
10. At what time after o'clock will the miimte-hand of a clock
be 25 minute-spaces ahead of the hour-hand ?
11. How many hundredths of 5| cords of w(jod is ^^ of a cord ?
12. Find tlie G.O.M, of 1(5 ac. 100 sq. rd, G stj. yd. 2 sq. ft. and
i7 ag. J42 s(j, rd, 1 scj. yd. 2 s(j. ft, 72 sq. in,
Fourth class.
37
XL.
cent ,H,U L: .'""^ ''^ "^^''^'^^^ ^^ -'"^^ it cost ,ne. Wh.t per
2. On H field of n.i acre.s '-»() l.i, zt'- ii i., , .
wh,;; it It',""' ""•"■ "'" *"= t""»«l I'y -lli"« a far,,, f„r twice
mort tbin the'„'l,"j;."'" '"'"""' '^" "^y^' giving one of the,,. J
each, nt m cents per^^. i:. " Vf ^ ^ if ''^frT 4«^'--^""nH
age, Ht what price per °,U h, " n. ust' H •"T"'^ ';^' '"•^^' ^*y l^''^'^"
$5.40 on the wliole ^ " ^'''' ienuiin<h..r he sohl to gnin
t>. A merchant boutrht ch)th if «!f jn i
e^e^.,.!/ ti;;:r .t;^,: „:: t;;:'ii:: :;:: f;' ?;;• ''''"■ «'■-"' "'"'■"--=
cost 'i ^ ^ "' ^"•^'^ ''^ the cow. \\ liHt ,li,l euch
wi„.t „■: ,;;;;;"i,."i't':' 'H:.*r,d;':./l:i. 'r" ''"■"■ ■■"' ^j "«■ -"*• -f
4 feVt ;vi:,':':^t'';!";; ;::f;tt^;'-.'. f [-* t'" f ,";- "•" •
cubic yard ? ° ^ ^ ^^' ''"• ^^ l»at did it c(».st per
CO,!"- ii.r::.,::;|;',;:,r'jr;-;:''tr:',^;r *"•*• ■" -^ '-- -' «l-
their h,b„r. Al ow ,^, ' ,, '" " '"S^'"'"'' "■"! receive m for
shouUl tl,ey diviirthf m,ty r """'" '"""'''"« '" >"« »"■•'<• ''"-
thi!;rt^e'':i!!tf ••'" ""'"■" '"'■ **-2''- « I'- -nt. i,, h,.,t. Wh.t did
XLI.
th^^Ai'^^'" '""' f t^^« numbers is 115-6, and one of then- i~ -i r
tfte ut;ier. Find their ditlerence. ''^ ^""^^
'^^ .^n^J-g^iit sold goods to the amount .)f Sn 9 wi .
commission at H per cent./ ""•»'"« '>f ^112. What was his
tr
R"
,18
PROCJRKSHTVE 1M10HLEMS IN AKITIlMKtKi.
4. If ji «.f .Ji.hn'.s iiionoy is otiual to 4' of Jjimus', und ^ of .Jjimes'
equal to ^ of Robert's, what fraction of .John's money is e(iiial to |
of Robert's ?
5. My liouse is insured for $C()0() at 2A per cent. What is the
annual premium ?
0, If 2 yards of clotli IM) inches wide can 1)e made from 3 pounds
of wool, liow numy pounds of wool will l)e recpiired to make 1)0 feet
of cloth li yards wide I
7. A collector charged me $15 for collecting ^250. What rate
of connnission did ho charge ?
8. From a tract of land containing 1202 ac. 110 sq, rd. 8 sq. yd.
3 sq. ft. 10() sc{. in., a man sold lOO ac. 11) scj. rd. 4 sq. yd. 2 sq. ft.
102 sq. in. to one person, and three tiuies as much to another. The
remainder he divided into Helds containing 17 ac. lOJ) s((, rd. 25 sq.
yd. 8 s(j. ft. 47 s(i. in. each. How many fields had he ?
9. I pay a premium of .^51 on a house insured for $.'5400. What
is the rate of insurai^" '^
10. A person has enough oats to feed 8 liorses for 10 weeks; at
the end of 4 weeks lie sells 2 of the horses. How long will the oats
last 1
11. For collecting a note at 4 per cent, commission, a man was
charged $7. What was the amount of tlie iKtte ?
12. By selling 0^ lb. of coffee at the rate of G lb. for $2, a grocer
gained .34 cunts. What did tlie coffee cost i)er lb,?
XLII.
1. A premium of $15 is paid on a barn insured at 2 per cent.
For what amount is it insured I
2. Make out the following bill in jiroper form: H. Nelson sold
T. Brown, Sept. 1st, 1804, .5.35 lb. of Hour at $1.80 per cwt.; 48
lb. 3 pk. (if peas at (54 cents per bu. ; 2470 bu. 24 lb. of wheat at 84
cents per bu. ; 328 lb. of barley at 50 cents per bu. ; .344 lb. of
potatoes at 28 cents })er bu. On Sept. 4th, 1894, the account was
paid in full. Write out the receipt.
3. A storekeeper who failed in business can pay (mly 30 per
cent, of his debts. How much will a creditor lose on a debt of
$640? ^
4. A^an do a piece of work in | of an hour, B in 1 hour, and C
in J of an hcmr. In what time will they do it if they work together?
Poiiirni CLASS.
dd
5. The HHsessod value of my unnwrtv .« «ftr«nn , .,
taxation ,s 15 „.ilU „u the d„n,^r'""lvi':^ ll*..': l',";', "'" "■"*" "'
-ay S: n";'st"^li:!,."';i;:„t,;',;;i' ,t! .tt'^r!'"^"''"'/- "-
what Ellen then has/ ' ^''''^ ^^''"*^ "'^^ ^lave j of
dedLt^,^ of ™'r :;i'rfr.^s;tir"'*wir;'' "■''" ;"r.;*'^-^ ""«'
u A r n 1- . ^ ^^^'^^J^ing. >> hilt amount did he collect?
B.,th 8„M thoir land t tl '"," ' " '« "^ "'" "'""■" "'' ^'o y"""«or
receive? ^ i'"o^i- » li.it price jier acre did they
9. A horse which cost ^f) is sold for «*»<> in \\m .
gained ? ^ ""^" ^'^^ '1?J<».1(). W hat j)or cent, is
what i."„,y ',;;■: ,::;' J:^,5' »■"« l-- 1--1 -... ..H it at 44 cent»,
fee'%\"a"°thoro i;;:i:;:f f'r '" '■"'"'""• """■ '"™y ^f-io
in. Ion,, 1« in. wij^'^j;; Id i'n'^'^fi-r,"""*''"™^ '"' '■'"^■'"' "■■-'' ^^
XLin.
two'n4t!S;'',4,[:;;:/;;'° '-^^ -ne in U.,,4h was h„i,t of
W^rlo^f--"^- ^.-;.;-b .. .^^ .t ata
left. How nmch „,„„oy 1,1,1 „e ;» ,iL ? '"""""''"•' ""^ '"•"' «54
Wh!uttt'S'ir"„,il.r "" '' "■■"•"-•■•'^ ™'-> »' «">00.
remainirTn";.!"! ".K^ "' «"V",^ *'>«• » <^^'" ''■> < <4tho
How long wonia^ta^jtlV ^^.^it^^'^r -■ 'i^P "' ^*^»^
■^f:
n^}
40
I'lKHJUKHSlVK PHOHLEMS IN AKITHMKTlC.
iHl
7. If, by selling u hook for JjjiJ.HO, I l,.su 10 [m- cent., at what
]>rico must 1 sell it to gain 10 per cent.?
H. V>y Helling a certain ninuber of cows at ^24 eacli, a dealer ]«»st
i\ of the co.st on one-half of them and gained {\ of the C(>Ht on the
(»ther half. If his h.ss on all was .150, h<nv many cows did he sell?
0. By selling meat at 8 cents j)er pound, a butcher h)8es 20 per
cent. At what price per pound should he sell it to gain 20 per
cent.? ^ *
10. A slow train going 24 miles an hour left Toronto for Stratford
at 9 a.m. After a certain time, a fast train followed at the rate of
32 miles an hour, and overtook the sh)W train at 11.20 a.m. At
what time <lid the second train start ?
1 1. l?y selling tweed at 90 cents a yard, a merchant gains 20 per
cent. What would be his gain })er cent, by selling it at .<!1 a yard ?
12. In a game of ball, three boy.s made 82 runs ; the Hrst hoy
made (i runs more than rj as many as the .second, and the third made
as many as the first and second txtgether. How many runs did each
make ?
XLIV.
1. A boy hought peaches at 4 for 6 cents and sold thani at 4 for
10 cents. What was his gain per cent.?
2. A man who can paint sq. yd. in an hour takes 30 hr. 33
min. 20 sec. to paint both sides of a tight board fence 10 rods long.
Find the height of the fence.
3. A man sjjends }^ of his salary for board, I of it for clothing,
and I of it for other expenses. What per cent, of his salary does
he save ?
4. What part of a wall can be built by 5 masons in ^ of a week
when 4 masons can build | of the wall in 3 of a week ? *
5. When potatoes are bought at 10 per cent, less than 50 cents
per bag, an<l s(»ld at 10 per cent, more than 50 cents per bag, what
per cent, is gained ?
G. A storekeeper gained $(> by selling a web of cloth at 72 cents
a yard. Had he sold it at 56 cents a yard, he would have lost $2.
What did the cloth cost him per yard ?
7. A blacksmith sold two ploughs at $18 each ; on the one he
gaiiied 20 per cent., and on the other he lost 20 per cent. What
did he gain or lose on both ? What was his gain or loss per cent,
on both i ^.
VOItRTII CLASS.
41
i.-». In wi,,., ei„. e.,;,:;;' A 'i„;;;r!,,^,!'::i'„t'r " '"""■ ■"
ik
10
•'. A limn wli(, owned lOOO hnslicls of vih....f . 1 1 i r ■.
wpinle iiii.i 4 r .1 • , "'ii.iMi 13 oi \\ neat sold ! (»f it oii<>
..'.^t...-. will c„„uii> i'of H ton oti™:;;;™'i V "'"" "'-"«'" "^ "'"
11. When thu I'iitG .)f tjix.itioii is « mills on tl„. ,i ii
XLV.
for the l,ay? ''"^- ^^ '"" I"-'"-'" 1«"- 1"" JiJ Le pay
o. A new scliool-Jiouso rottiiKr <iair.nA ,v • i .
I«yer wl.„.se ,,r„,,„rty i» assoHse" for S;;.5llo " " l'"»»''-»t a r.-.to-
How f,. f.„„ the ..u';wit';;ftL''i::r;-^»,'^i:tritV' "" *"'-'"^-
gai,^a-^o";.:t!,:f.:;"„m,^'i^'£^\^^r'"r ?i;"— "- Henry
John pay for the ballf ^ '"""" '""■ •* '""'>^- ^^'Lat <Ii.l
They ;:ii';::;°rafi["^ , ':z:::'tiTt "■"■* -,' ? ""^»-
finish the work in ;) .Pn,^ t,..^'., Vi .• i' '^'''^avos, and the 8.,ns
of the work wL';; j,e'g;\i;:"£t',;':;.f - '"" """^ '"''• ^"''" i-«
lb ^- J^ S''^''''" "f ™to, 7«i«1.8 10 lb., ,uul a cubic foot weighs 62
wateri,^tViS":?nt 8indS "' " "" """''' ""> '-»' "^ "•«
42
PUO(JUi:sSIVK PltOIU.FilMS IN AFMTIIMKTiri.
H. A jiiHii IniyH milk at thu nitu of 75 cents f..r iii' ^'alh.iiH, and
•sells It, at 10 cents for 2i pints. What per cent, does Ik; gain ?
D Divide $170 among A, B and C, giving A $10 more than J as
nnich as H, and i as nnich as C.
10. By selling an article for 81.02, a storekeeper gained 32 cents.
What per cent, profit did he make i
11. John's age is now ,1 of Harry's, and in 8 years it will bo ^ of
Harry s present age. How old is John ;'
12. Wliat i)er cent, does a grocer gain hy using a measure that
holds 7 puits insteail of a galhm 'I
ITT?;
XLVI.
11 }' 4./"'"\^''^'"^'^ ^^ percent, hy selling sugar at the rate of 12^
0). tor .^1. What ])er cent, would he gain by selling 10 lb. for |1 V
2. A man bought a farm for SOCOO. \h, gave 00 acres of it to
his son, and sold 'j ,.f the remuinch'r for i?i4(K), gainiu" ^200 on
what he sold. What then remained he gave to his daughter, who
sold her share for $3270. What })rice per acre did the daughter
get I *=
3. What per cent, does a merchant gain by selling 10 hats for
what a dozen cost ?
©1 io ^r *'^^ ^"'^^^ "^ '^ ^'■^^"'^'^ "^ ^'^'"^^' ^"'' ^'"^ ^^^^^^^ i<^ cost a farmer
«>110 to fence a s(piare Held. liow much was the held worth at $00
per acre ?
5. What jier cent, will be gained by a grocer giving a customer
15 oz. of rice for a jjound ? How much will the grocer gain on an
outlay of $30 ?
(). A piece of work can be done by A, B and C in 1 hour, by A
andCin U hours, an<l by J and C in 15 hours. Jn what time
could C alone do the work ?
7. I paid $12.50 for my coat and vest. Had the coat been $1.50
dearer, it would have cost three times the price of the vest. What
did I pay for each ?
8. A merchant marks g(K)ds at a profit of 25 per cent., and allows
10 per cent. disc(niiit for cash. VVhat will be the cash imce of an
article which cost him $1.20 '!■
9. The numerators of two fractions are 13 and 15, and 4 times
the sum of the fractions is If. How much does the one fraction
exceed the other 'I
f-'oiruTfr CLASS.
4.1
lions, Hiid
ain i
than § as
.'i2 cents.
1 bo ^ of
Hire that
:e of 12h
for fill
of it to
^200 on
iter, who
laughter
hatH for
I farmer
h at $00
iiatomer
II on an
ir, by A
at time
jn$1.50
Wliat
gHu;!;c/^j:;'i:;^,:'''';^r,;:^j;,;--tain price per ao.on, a p.r..n
per dozon ? ^ ^ "''^ *'"' t'lc oraiigos cost hini
!«.• |,„u,i,l m ho pny f„; it " ""■" '"'■■ I""""'- H"* >»"cli
XLvn.
first, m^ *7(W, what w„s liV/ ■ "''"•"'• " ■^''' '^"l"*"! »'
8 hL!^;;,!;:^rini,i:!;T"'' '^ "•'^''" '" '^ > ^- - "i„.t tf„,„e,„,
-Id the g,„„Is at catal„.„„ p.-ic.. w'hat p";!.;;?; .,,','1^; ■--';"■"
long w,.uK, it taki al/w'.^lt.^'.^tl.rZt'i't I" '^'' *'^'^- """
I'or cent. Tlio a<rei:^, .sells tlu^ uL? ■ ' ^ , ' ^ '''''" '^^^"^•' '^"<' ^
p%ea^.. <%« i" '. u. w....: h,':'f;,„ jf ,i,^r s ,r r„
'ne hiixture tu L'uin fifl.^ Tu.t- cent ? ' P"»na niu.st hu sell
10. Divide 8f lb. „f cand
Ulb
--.v.ue og jf). „t candies auiont; three bovs mv,-M.
more than the first, and the thn<l l^'lk'L^S
among three boys, giving the
nth
e
second
second.
44
PHOdKKNHIVK I'HOMLKMS I\ AinTMMKTrr.
20', I.;., ^'ai' ;!:i"5 ;!r;r.r ■""""''■'" "■ "'"'^■"-'- ■'■-""■■"- »'
12. Hiiril ciil ,»,([ H„ft ckI Hl-o respocHvuly IK „li(l I "5 ti « „
X
Will. H..a eoai;...! .in.l. rl^U fnOj; ,S( , '7; Il^nf '"'l ::
L W
ll
I'
Simple Interest.
(Includhuf J^i'i'iiims Work.)
XLVIII.
in.,m.v^I'.'*1 v''"'^'V'\ "^ ^'''' I»inci,KiI in the interust on n sum of
inoiusy t<.r I your at 4 j,ei- cont.!'
()rL:lirr'p'''''''i''" "^ 1"""^ '^" J">nr stuns at H.;jOA.M.fru,„
u n^.^^^^^ •""' '"^^ "l^-^'- ••^""^''^^•' I-'-'" walking Ht
Jlu-i.ittM,f.ii nnk,s,iH|.<.ur starts fiu,,, Brainptun tu Oianm-villo
":;[;:;;i;r- ;:-s^;;^i:::7"' ^""^ ■"^"- ^"^'''--- '-^>^-' «-
••!. What will l,„ ilu, intcvst „„ grW) f,.r 1 yc,,.- at « ,,or cent.?
„. t'- '''rr '""" ""»■'«•''• t" '•" a coi'toiii w(.ik ill 12 li„ur« • after
n. Kind the interest „ii *XO0 f„r 1 year at 5J per cent. V
«. In « weolis, ., men, !) women, and 14 licys earned $44(i 40 •
Th^yrv^T^ '" """•'' T ' ,""""•"• '""' -<=l"v<-um •« mu h as'
z i)()>s. b ind the wagos of uach per day.
cunt i^r an,:;" 1" ''" ""^'^ '"'^^^^^ "" ^''^^ ^-' ^ ^^^ '^^ H per
H The circumfercniic .)f a vvlioel is :}1 times tlu' diameter -uul a
>.cycle wheel makes 2880 revolutions' in ru in 't^^o [11^00
cent ' shnnh?i''V;! ^f^^ T ^""""^^ •^"^' '^ y^''''' ^^"^^ « "^'^"ths at 6 per
cent, snuple interest. How much interest wis received for it ?
FOjrKTir CLASS.
liscouiitH of
II a Hiini of
45
U. A Villagl! U'itll H |)..|»,ll;iti,,tl «,f 'UUii .• . .
1. Find tho siiuplo intoreMt
at 7 i)ur cunt, purunninii.
2. Th
XLIX.
•""^-^1!M> for ly.H,H months n,lay^
n-ou nu-n fjinuMl "^21 in a wooW T». « .
any as tho Mrst and second to^.et ' r Fi ; / ,"T^ ' "' '""^■'' '•'^•'•
Q t , n^inci. J^ind thcdady wagt'sof ouch
at 5%. *'"'" "'" ''""''"' '••' *■-'» f M^ucl, 4th to Dec.,,,..,. 2Ut
fi. A woman hou<'-ht a .in.ii.f.-f,, r
«u,,,,„»e,l to contHin 14 1 0,0^.' ■■"'«,'"■ I"" "'' »' l'"'™""
I""^! t„ he 14 oz. too li,,i,t" ,f' .she o'i'.f'ils"?- "If '"'""' «"^''
mucli Mimiey w,m she ehenfeil ? ' * '' ""-' ""«"'■• '"'W
forlw"^,;- i';:;;;.^;;L^,,rr.T;ni:T,'.':''' \""^ -^ ■ ^ '"■ "- """•■'■•
j."ut re;:ca;:''''j,''rz,.r;-r'''''f' r"' '■"' ■'■" '"■•""• '^
I«'U.-.s. I„ what ti„,e vi t e L •')" "Z" ', "^^'V "'"l'^-*" " '" l^
opened «t the »,.me ti,„o ? "'«'•'"!-'" h. .1 when nil three nre
it on offiySI^Z^,wtf^;■:::;;,^;'';7J^^^^ ^^^-f- ™'i re,«i,i
nepay? ' " ""^^Hst at 4%. What amount did
m'"« tirtr" ^uHt'ZZ't^T^ '"'i !' ""■' -'^ 21 ,.,i,e«
fiuW. at the same time ' "^ S'™ B i„ (i miles, so a., ,„
What i)er cent, does he a. .„ .... i ; . . ... . ''^ 18 cents a gallon.
ui on Jii.s outlay V
12. If 3 sheet) '"id 5 Iambs r(mt <JS'i7 ok i . ,
lambs cost TO.75, how manv s u..V . ' u ' '"!"'^ ^ ''^'"^'P «n'^ 7
^ , itow uun> Mjeep c^n be bought for $700 ?
I M
h
46
PROOKKSSIVK I'KOHLKMS IX ARITHMK'l
rjc.
p
If «'
13 i- •' :
■ i
L.
that the one Inul tnivull,.,! •( ,7.^ •"""•'""' '"'""•
other. Find the '.te'^t "id. '„:[• h,,,',';:'^' ""'■ ' '-"-■ "'■■'" "-
B togotlier received. Wliut did each <ret ? ' '* ^^ ''"''^
4840. What was the „rigi„al /.opnlation ? " I'oin.h.h,,,, wa.s
8. A milktiiau paid $i.sr, for 2(1 .»,ill„ns „f .oiil, .1.
quarts for liis own u.se and ^ol.l ,1, » '" "■^ "* """' ' "» veserved 3
the plank in each cle being thc'salne'v' ' "'" ""'^'""'™ "'
11. A person received $50.40 f,,r the use r>f KOKii .^t i- / • .
interest. For what time was it lent ? "* ''■^ """1''^
12. A can do twice as much work as IS in 11 dav •,..,] 1. n .
a corta 11 work in 2'' rliis T„ 1. 1 ^' "•'"' '"'"' <=■■"' <lo
.^ ^ vc 1 K in .- da^ s. In how many days could each alone do
LI.
17 V«'« 'wIm/"!' ^T--"!' '''""" ■'","" -*■ '•*«• »■•■>» r«i.I November
amoimlij;,"/ """''■'•• """'■^'»' '" "i" - l-' -'»""■■ What ;« t^^
FOURTH CLASS.
47
e ttinount
simpiJiuJrest?"'"" "'" ^''-"'» ■■'"—" '" «14,I4 ,.t BJ percent.
hout,l„st.Thi,,tt,hc:;.''':.r;'ii,;": '""'••^■'v«-vi' ^^ '™ -„ i„ 5
what time c„„la eact alone dlJi^ '•"■'"'" ''''^'' '" -" '"•"'■^- I"
the whole quantity. Ho. ,r:^t£t were irl'^ri^'nT'' *' "'
«476:2rl1tr6',',':onri "'"'"•' '"'--'• -" S^BS an.ount to
inJrlSvais''/:;5';;,t: i:!fj:!: '7/ "r' -^■■' ^-^ -"-. was
day, how „,„ch WHS the e^t i^, cubic yard f '""" '"'"""^ «^ P"'
an^Junrt',', V3«!yr* '" '"'"""* '"'' -^" ''•''y" '" " I'"-' oont, will
LII.
1. What amount will be due Oct 7 1SQ9
drawn Feb. 25, 18»2, with intercut atli^ii'L^t'.'^errmun^*"'''
cents for ^ So .anVi'S Z' '"TT ''" «" ^'•""■■'' W"« ^
each did he buy t " "' ^'"^ '"'"'' ''•™»»- How iany of
wiAr;i;t^r:Litir:l,;;:i ^ti;rpri;^pZ"™ '"-^ ^"^
, 4. An ice-house 22ft. by 15 ff ^.1..^ ...o- -1 ,
form size to till it to the height of ' 12 fr .}' ',•:;' 'if ' ^^'^ Z^^- ""'"
mches long and 1(; inches wfde, what l«-tt"lueknr^^ '^"'' " ''
48
PIlOG.fEssiVE PROBLEMS IN ARITHMETIC.
in m year,'''"' "'^'' ^""^ """■ ''""''"'^ '""'^^•''' ™i" *-'?40 double itself
the wheat per bushel ? * ' ^* '"" "•"' "'" ™l"e of
interest did I pay ? * ° ">i7d.bO. What rate per cent, simple
rovlttnfi::^iHr.?.'eS'/ I ^'^" --umference makes 1800
be made ^^r£l^^^Z J^^^mfT-'''''-^ revolutions would
ing the same field ? ^ ''"'^ ^^ ^'"^^ "^ circumference in roll-
it^f, ^J!Zi::^::^^:i^:^ 7^ t-^ ^----^ ^^ ^-^ times
Wh!t umoir^^I^Sf "^^^^^^""^^ ^^^ ^^^ P- -"^- —-ion.
LIII.
1«cn ^\'»'"»/\^"I><>«'ted $051.25 in the Savin-s Bank on A.ur 9«
18JU, and withdrew it with intere^ at 4/ on\uril 4 IH u ^F i
the amount withdrawn. '*/o "" ^piii 4, 1894. Find
2. A cubic foot of water woiVli«j r.9 IK « ,.„ i
rtide/-^?mn.^i;;r--^^^^^
not^ '^l^;Jml/l8?)4^!rr^'r"T^^^^^^^ ^-^j»-
cent, per annum'^^^t ^1^ ^::l:!rr llirtJ^X^ ^ ^^^^
wait i:^ "r Ann ::;>nf - '"^f ^^^^^^ ''''' ''' i^' -^ -fter-
solcl ; he then Id ^^^^^ ^^^ ^'""^^^ ^^« many acres as he
farm ? ""' ^""^ "'^"^ '^^^es were in the second
1 ?• -.^ «*^'>rel^eeper sold tweed at a gain of 20 ner a^ut Tf 1 u a
sold It at 8 cents less per yard. h. Sould ^^.vJ^^^i'Z^^ i ^'" ^""f
M vvliat price per yard did he sell it? ^ ^ ' '^ ^'''" ^^"*^'
POURTH CLASS.
49
e
cow
di»Unri:;;|f';tt :^^;;;«;f ■• (-:; i»^J "f its i™.u,,an,l the
h per fiore i ^ " ^^ ^''^^ '"^ ^^'^ value of tlie farm at
7. A maij purchases a house for <:?'>i« < i
«ionth. ^^U,a rate per ce^'tmr :.""'' ''"^' ^^' '-^t-^l^-i^O per
money? ^ "-' ^tnt. per annum does he receive for his
cost tl,„ farn.e!- T "^ ''* """'"=' '""■ f'"' **-'• Wl.it .lid U.o'oo,
$-Vmouthy, wlrnta,,! the 1h„.1 c,,.4 "S":!;; 7""' '" '"» «"'" "»
-il. A man borrower] SS><iV» .if r; .
What was the valui of wh J,°« iILm" ' "* ' ''"■'''•^'" "^ "'''-'t-
12. Jolin and James sf-ir^o^l ..f fi
^^•-/^^"> ynrds f, ;;hd :".^t M "T' '"ir^ f"" ^^'"■"'' ^^''--'^
yards per second, Jau.es a ^ r'ef ''''?' "' *''^' '•••'^'' "^ ^
when .John reached school, . Uu-ned 1. . I- ^ u" ^T '"^''"•*'' '-^"'^
fron, houu3 when they uiet ) ''''"^- ^*"^^' f'»' ^^us Jan.es
LIV.
.^4 20 per eord a..d 2;^ bushels ^oasr-^'l "^ T'"''^ "^ ^^"•"^ '"^t
"^terest. What su.n was borrowed T ' "^ ''^' ""'^^"'^ l*^*' ''"^''-l, as
^■''o^^7^X:!'Z^J^;^^^^^^^ 1240 chests of tea at
on the lot. How\nan;;;:;!.:^if .trin :;;:I^;;:i^^ ^^"^"'« ^^«^
au.-,ng the year, he had 5 f er X^u if T, ""'^ "'^^^^^ -^I'^'"'^-«
the house. How much did he^;;^-f!;; it V'" '^'^ '"""^^ J>« V--1 for
bod. Find the cost of niakin^ 1^ dk a"'^ ''""" ' ^^'^"^ ^-"^ the
5. On Sent 11 i«o. ,,/-." ^"^"^"^^ -^'-ts per s.unre yard
hij
cow
not
.^. On Sent 11 IStn Ti w — i'ors(p,areyard.
^->Lpt. 11^ |«JM, 1 I)ouL'ht a cow f..f «<n i
)ayment, with interest at (if Lr cent . ^ ' ''"'' ^''''*' '*'>- "'>te
^ on April 18, 185)4, for Si(rJ Y^'i^^.A':''' '""•'"?■ ^ «<'M the
gain on the whole transaction
>!• iiJ'^O, and paid my note. \V1
Mt was
my
60
PROGRESSIVE PROBLEMS IN ARITIiMETfC.
H:
1
I'
ij
m
h
I- !
(>. W hen oats were worth 20 cents per Lushel less than wheat, a
man l.ought a .juantity cf each kind ..f j^rrain, payin- as much f<.r 12
bushels of oats as for 8 bushels ..f wheat. What I'.rice per bushel
aid he j)ay for each ? •
7. If I pay ^H\m for the use of $852 for 11 months, what must
1 pay tor the use of ^504 for 7 months at the same rate ?
8 T have a piece of ground 5i rods long and 41 rods wide, sur-
rounded by a ditclv H ft. 4 in. wide and 3 feet deep. VViiat was the
cost of diggnig tiie ditch at 27 cents per cu. yd.?
xxn'\ '^'!j^\«""P'^ .interest on $300 for 2 years 2 months is $05.
What wdl be the snnple interest on $450 for 9 months at the same
rate «
10. A l)ankrupt stock, which originally cost $.3000, was imrchased
at (, cents on the dollar. The buyer sold it at a gain of 5 percent
(»n the original cost. What per cent, did he gain by the trans-
action f ''
11. The amount of a certain sum of money loaned at interest for
(.months was $(J1.50, and for 9 months it was $62.25. What was
the sum ?
12 Three-tenths of Mary's plums, | of .Jane's, and ^ of Ellen's are
e(iual. Ihe three girls together have iVA ])lums. How many has
each girl V
LV.
1. A merch;int borrowed $24(10 at 5 per cent, per annum, and
mvestc'd It in wheat at (>0 cents per bi.sliel. At the end of .3 months
he sold the wheat at ()2 cents per bushel, and i)aid the money bor-
rowed. How much did he gain on the whole transaction ?
2. By sellhig a certain number of bananas at G for 5 cents a
truit-dealer gained 'AO cents more than he would have gained if he
Had sold tliem at o for 4 cents. How many did he sell ?
3. The sum of |J)55 was ])orrowed on April 26, ]894 at 6 per
cent. j)er annum. It was paid when the interest and princinal
amounted to $<)89..'i8. ( )n what date was it paid ? Principal
4. The seed for ;i ticdd of the accompanyin<'
shape and si/e cos^, $;{6.75. If 2 bu. 2 pk. were 4
sown to the acre, wh.at was the price of the seed
per l)ushel !
FOUKTII CLASS.
SI
.t he «,„.■ f„,. ,4i4«. „„„. !.^j:'^.:ccj:::^: ij;^:'i:zf''' '■'
the other in ru" ni . uT; iV 'i'"^"' So'-' revojuti,,.,, ,„„re than
mile, ure theioC'.Jt;';'^'''""" '"'""■"" '"" '""■■«• ""»• "-y
7. A aiorchant nuirks his .-cixls at 'in •.,l,-.,„„„ r ..-
cost, »,„1 „ll„vvs l,is cu»t„me« 1(1 „ !■ , f r ' "' ■""■ ""»'• ""
price. What nei- cent ,11 1? ' '' '^"""""'>' "" 'he mai-lied
81.35 ; ^ ^""^ '■" «"'" "" ••"> '"■'■"'« wliich he selLs for
What did t!,e tea e^;er;„u ',n '* '""'"' " '" -" """» "1-"'J-
Bytlhnrn'u""f4" "';■"'"•"■ 'f '.'"f"^'" "f «-h«'t f"r »1200
price of wifa; he^s,' d.'"H lL''::id''d IH, ""l«";'"." t' ""^ -^'
mo„th"was e,>ch empbyS" " ''" ^'■'""^'■^- ^' "'"" ™'« l'"''
foe" wttl;:u,si"r;:^3;,"r;;th:;: a ;1 1 """': ^" '' "«'"" "' «
travel wqv. ^r.,.^.. i u r ? • V""^o,'^"t3 nnul l)et\veen two towns The
Eet^eerThe't'n™ " ""' """ ""' »* ""^''"^ ''-l'' I''"'' "- .li.stance
teke at 15 ce' , , e, d t^ l,» '""■"'«'•»"«■'' "''o «.ld a second
mucli as if she had sol ho, ■ '"';"'"■'"''« 'o received for all was as
many dozen ^^rel ule ietlnd'Srt"; '' ""'"" ''"' ''"^'-'- """
LVI.
the ren.,!i„der at a "gai ^f" 6 , r eon'; «'" wl ,f ,''" ^'t' -"■<'
gained on the outlay .( -" P'-r cult. " hat per cent, was
apart, ""i? tt:rh!:?;:e:n''X:,lri;ir ^^rrr'"'-'-- "'"^'-"' « '-'
have been re,/iire,l. Whit length ttli^'fencif """■" '"""" """■••
water i^'Tl^re if:;";;'.''' ''T-'"''',/"" "'T"' «' -"»• '"- ■»""'•
12A cent] ;,^r gaibu? "^ =""'"" "' "''"^ "'"' ""'«■ *"'"'
62
PR0(}RKHSIVK I'KOHf.KMH \S AUiTltNfKTrC.
i 1
^ 4 A n.an Ix.nrrht (500 doziMi e<^'^H nb 10 oentH h (l.,zen. He sold
,1 of tluM,, H, again <,f 20 piT ccmt,., 1 ..f thcM,, at, a khIu of JO pur
cent., a.ul f ho n,,st at, a l<..ss of 10 ,,or cent Whai" per cent. Ud
he gam «>n his outlay I '
5. A Held c(,ntaining 4i acres is 24 rods wide. A second field
tnc nrst. How many acres are ni the second Held (
6 A person n.de a l.iryc;h> fro.n Toronto to Whitl.y at the rate
ot 10 miles an hour and i.mm.diat,.ly returned at the rate of 8
rtehv";^'"; T '''"t '; ^"■- '' '"" '"•■ ^''^ ^•'"•"*' '''n- H-v far
18 vvnithy trom loronto <*
7. The owner of a farm sold it at .^50 an acre, and loaned the
noney at (, j.er cent per annum. Had he loaned it at 8 per cent
the interest receiv(,d each year would have been .^50 more How
many acres were ni the farm i
8. Mr. Brown paid it!;{.80 for what butter and milk he used in
4 weeks. A p.Mu.d of butter cost tlire. tinu.s the price of a .,uart
wel'l wl "' "Ti ^' •"""'■^ l'^ ^'''^'"' '"^""^ ' '»"'^^*'^ *'f '"ilk each
week. U hat was the price of butter p(!r lb. ?
J). A man built a fence 5 Ix.ards hi^rh an.und a field The
bottom board was JO inches wide, each of the next three boards 8
niches, am the top board (5 inches. The Held was .'{0 rods Ion*.
perM'" '*■ '■'"""'• "'"' """''' '*'^ *''^' lumber cost at $lb
10. A groccu- sold :-; of a chest of tea on Monday, ? of the
remainder <,n Tuesday, an,l ^ of wh„t then remained on VVednesday^
he received *J.50 for what he had left, at 50 cents pei lb Ho^'
many lbs. were m the chest ? ^ "• xio
n The earth taken out of a cellar 27 feet long, 22 feet wide, and
^ yards deep, was spi-ead ,.yer a piece ,.f ground 4 rods long and 30
yards wide. To what depth did it cover it / » ^ "
12. The Mail newspaper, if spread out, would cover a space of
48 inches by M inches, and the average daily issue is al»out JJ)800
copies ; the road betwmm Brampton and ( )rangeville is 4 rods wide,
and A,i days issue of the pap(>r would l)e re.p.ired to cover it How
many miles and rods is it from liramiiton to Oran-eville ?
t& 4
^'•u in*)«F«!MM9
ADMISSION TO IIIOII SCHOOLS.
53
ONTARIO EDUCATION DEPARTMENT
EXAMLXATIO.N J'APERS.
ADMISSION TO HIGH SCHOOLS.
June, 1S83.
1. What is the ohjuct of Division / WHh. r1,.i.... fi i ^-
Divide 108,41il,71(;,001 by I8,748,(X«.
roo^ S;;;^l"^S^fe;^,2l-y;-, ;;'-"«• ".e f„n„wii,« i» our.
FinJ the weijjcht of 5(Ml,(MM) hricks at 4 11, '> .,y »..„.). i .-i
ft*
375 tons iron j>late.s at £8 15s. (id.
107 £. tons l.;ir iron, .it £'11 14s.
10 tons hiili) iron, at £'10 lOs.
48 tons steel, at 418 7s. (id.
15 tons rivets, at £11 Is.
17 tons T iroii, at £M5 lOs.
rods i„n^, fmllrritd'tido '/ '' """' '" '"'"" " '"»'=" "f '■•""• «3-5
6- Simplify: l-.+,v _,„,^^^.,,,^^,,, J l^l^^-5
4,'5i.f;i2„f,46.
proportion of 15, .'} an.l 2. .\ oert
kn
1 >.. ..,, ., ,iNu „'. .\ certain (luantitv of <•
owntoeontain 20 hundre.hveight of larcoal; hnd
n (juaiitity of <,'un[>ovvder is
ftud also the weight of nitre and of sulpl
lur It contaijis,
its weiglit,
64
PHOOHRSSIVK I.ROMI.KMS IN AllITIIMKTfC.
wb
ria««. »17.2(., ,.„„i f„r duties ."« « " ff " " F<^\"V f"!"' f"'' ™'-
truii.sHctioii / * '^ ^'"" ^'^^ <>» t'»e whole
8. Find tlic iiitcrost un u iiulc f<,r «'>"»*- at i <- i i
ihh:., ,.,„i „,u,i Apni ,;, >HH,, ,:;, i ,,.t;. *a:'p"^,;,'::::;;,', •'■■'"""•■^ •'•
l>ectmhe.r, JSS.i.
thorn 'rsvr'.'rVo™;,!:'^ 1,'° ^""^ -^ ""-"• •■'-' -''i
gain „„ „ :,.,xoVld,':;s,il;:i; sr,-, "'™ "•""" '""• '
1>.". exactly ton ti„„« .» ,„„ch' as ti,o fo,' c^/ '" "'" '™'' "'"^
mo^ tS ^Ki^ri;:!.!:;^'' «• - "■"' A n,,.y ,.,.„ ,7.
botweJ;!t'^ni;:;i'T,;Uf^'* '""' '^ "' '" *'^ ""^ '"«--™
Wi^s, to .. „sea in ;,„in, ^\;!X'o,^-t Z^I^
woiIi,t-tf'thr;;:;!;\.;;,X"t!r^>875^'*'--V"^'.''"" ^ "■« »■•"'"
equal ? ortiei to make their cliaiiees
it^^;;^;;s^r,rz'';r\ctn'lr:^^'!^--,^%r^f
the v.-ork in .) iiuvs in..r«. H,>«, ,».,..!. ..r .i. r •,•■•/ ^'^" ""-^"
rwi;^';:;,;^;^;^:"- "—!■ -f t>.o w..^ .cuho h
rst man
ADMISSION TO HIGH SCHOOLS.
55
I fo. c/ir-
Y lejikago,
:;he wliolo
imi.iiy .'i,
I's ; if 04
f Hii inch
ro {
){ a clock
eiico and
md sold
h did I
25 rods
leii hud
-nd Cost
we ^7 J
fFcrence
sum by
vulgar
s to be
whole
1 alone
•eceive
How
liances
ork at
t man
10 Find the interest on 1?L>75.H() for 1)1 days at 7 per cent, per
annum.
Jviir, ISS/f.
1. The <|u<.tient is 12,4:14, fhc nM.iaind.-i' L>74;;, and th,- divid..nd
Strrr'";'";;"" ni.- hundred and .K.;. (ho: sand o".
dred and twenty-three. Find the divisor.
2. Fin<I the L. C. M. of 11, 7, 21 '>H '>"> '^-r ki oa'^ »>n' i
the G. 0. M. of J)4,W5 and tHi,50!» ' ' ' "'' ^^' -^"' -''•' ""*^
of .J 1 1 '"'' ^^'" '^'"^'^■•^'"^^ »>etvveen the two to fh. decimal
4. Simplify :
iA-.V"f i2r^*'^"^^^-
(2). y]^ <)f^a guinea - f^ of a i*.
Hs. 1(>-';^
l>a
1
o A g a n dealer bought (.4 bags of oats, weighing (inclu.ling
he .lealer panl .4 cents a bushel for the oats .-.n.l sohl then, at 4'>l
cents a bushel. How much was his gain ! "
IK^M ^'\^'\!l '"''^'■'' •- '"'^' ^^"'^'^ ''"'' »>">'"'«''^-«l -n one sid. for
lis. (.,([., at .VI. per s<,. nich. Find the weight .,f the plate suo-
posmg a cubic foot of the metal to weigh (J2| pounds. '
7. A, B and C do a work in 12 hours ; A and li can do it in
^e:z^^r ■"^" '"''• »■■» "->■ -• -- "-- ". thj
9. Find the duty on 8 hogsheads of sugar, each wei-hin.^ 1 '>()()
pounds gross, at 1^ cents per pound, 10 pe"r cent. being"allowed for
■^^' /^L^'"'^ ^''"^ interest on 8225.40 for IG m.mths at 8 per cent.
por HJUlUiii
i^ll'o'r^' •■"."!*""*^^ "f -^ certain principal was *:{07.2() for .'}
and $312 for ;}| years. Find tl
le princi])al and the rate.
•2 years,
!|f!|
66
1^
I H
SI
I
' *"^»nLhMS IN ARITIIME
IIMETIC.
December, issjf,
•:57i cents; 112 yards rfnt at ^li jL ^^ ' -•^'» >'''"*J« "annel at
cents ; ;J7A yanls tvveed at |(I 12.' ^' ' "^^ ^'"•^'•^ «>'"t'ng at l?!
4. ^iin[)lify :
r«)5U2^-Ml?x7i4-**l«-^'4
(^') -iix A X 0-02 X 0-45G y ^ j « of v .
ot tho rcKun / •'^^'"' ^^ 'P-^--*''. What is the width
*3.C0 H y,.ll„„ ? ' '""'-' "■■'* "'« ""xture may bo wortli unly
CLXxlT"'^ " ""'"'^ --irOSOeoS 005904, $705(>;i7 and MDCC-
2. Si"^plify:--/7(3|+9||-)-^/^of-?-i^•l^«J2d.
16s. 2d.
3. Find thevah,eofl7-654 + 4-835 + 6-408.
11 t^a^ ;:rj: !!;!l;^:^z ^z:^^ r ^« r'' ^--^^^ -^^-^ ^t
18 ^ yards tweod at .il 50 i oi f ' ' "^ ^''^^^''^ ^'""^^^^ •'^t ^7 cents •
cloth at .<^4.50 ^^'^^' ^-' ^'>^-'^^ «^^g« '^t '^1.75; 6A yards broad-'
5. A merchant t.urcljases sin^ir -.f -^^ ka
WhHt Price per pou.u. n.u,, „e ^^51 it iforfer/o'^S'To ^T^^'.il
ADMIS.S10N TO lll(;n SCHOOLS.
57
6. Find the simplu iiitcrcsf ..» ^k;; f,
7 per cent, per uiin
uin.
r 3 year.s, J) nioiitlis, at
7. In what, ti
•no will any Hum of
cent, .simple interest 1
«■ •*!?l,2(H)ist()l)0(livi(UHl I
"i"iK-y <l..iiMo itself, at (
) per
A'h .sh;iro is to B's si
lare, as 2 to
•otween two persons, A and 15, so tl
•>• .At what two times 1
Find the si
tare of oach
lat
a watch
t'<iually distant from the Hm.re 1I[
'^'^r^'L' ;{ and 4 ocl<,ck are the han.I
10. A man havin.' .<!720
received 7A ti
S 111
•i[)end.'-
'•I P'lft of it, ji,„l aftt
^'i!<l 7A times as much IS I ,. «,> ..f ',",,' ",' '""i afterwards
much did he spend i ^ '"^ = ''" ^''*^" ''•'^'l *l'i<>">. How
Drrrtnhn; /.S'.S'J.
1. Define the foUowincr terms • ^^w.+, .. i* •
2. (a) Reduce to simplest form •— "•"'••M
each i>^t,Ilr::,nt^n^:,:i;;;;':7;[z?-'' ''"-^ > '^^o „„.,
fortune at first. ^ '^' itrc. i^md the amount of Jiis
by ^2 J'"" ''"■•'""'^ ^"^^•" f' ' J5»f 'viU ,„,.ku „ «.cMydivisiW„
5. Express 3-74!.7« .ui„„to,H» tl.o ,loci,„al „f „ ,,„k
«. What will 11.750 f„et„f ,„„.,„,, „„, ,, ^,,,.,,„ ^^.^ ^,,,,,_^^^_
/. Na,„e the u,„t« „f ,„„^,t,,, ji,„„^ ,,„j ^^^,^,,._^^^ ^^^^^___^
8. F„„l the ™„,le interest „„ 8«,K. f,,,. ;, y,„,, ,, gj ,,„^ ^^.^^
they t„gether HU the ci'sten, / "''• '" "''"' '""" *"'
^"(.7, 7.s'»;,
bythe,...i^.,,,„..„irM:'r;":;.!',:?;;L':";;^
('>/ ihe product of i.mu- numht>f« io «>>- /--o ^., >
luunber i8l2, the product of f 1.1 i , / ' '•'^' ^'"- ' ^'»« Hrst
fourth. ' ^ "^""^ ''^ ^^^^ '^^^""'^ ^"^^ tl"»J i« i44. Find the
68
I'KOrJUIWSIVK IMIOHLKMM I
N AUITIIMfrriC.
2. Maki! nut ;i hill of tlu) f,,|I,
*>wi
2H
^■2 yinls tl.iimcl, (If <JH (.,.Mt
y.-inls CHJin., ;it IT) rout
winj,' arfidos : —
7 jKiii's ^'lov.'s, fit !M)c,.mV
M pHU-H of 8t<.(:|<itlL,'N, ;it ^'JJU
ynViiH IliKjii, ;it .^I.I^J
pHirH of imiHlin
>i. WImt will
L'lMLiiiis, nt 34.20.
Htl
exc;!4^u.M?;;.z^l;„?S;i;'n.i;^,rr^: -C!' r ;r" --^
li. l>ivi.l..*|,(KI((,,„|„i,.' \ H .,,„| (■„»!,«
".".■« tlm„ B, H.Hl lwico,>.s,„,,',.|,,;"c ■ ■ '* '""*■ '""■" *'0
work i»"c &t^f','Z''''wl:v"'f'''' r"- ""•' '■'"' -;,„i.
how much ,Iou.s B «-i„ I **"y'<-ra race, st.'.i-t.iig oven, liy
DecmUm; ISHIi.
contain,!™ i',,' fifj !f" »,^:^|^' '""' "'"" ''"^ """'y '"'"-'» U'e msnlt i.,
muf «."'"" ""'' f"'"''''"' "f ■"•«? -»1 -0025 by the nun, of -9, -02
acre, " " """" " * ""'» ""'''. >'"- »>«"y -.ilos of it wiil ,„ake .(.
per tlK.usana feet ? ° '" "'" '""'"'■'' ''"s' •" «112.50
Thet,lr;r;i;r:..';;::,T,!;'.,'',:"'fr "f •"'r ••""• °"™ f-'*2,ono.
I^viee ,„ n„.e„ a.s a c,";; T:Z Zl ^L'Sf', ,;;::•„■.' '>-- -^\
nu buy : ^"°' "^^'j 'iow liuuiy cowss did
ADMrssloV TO IIKIII Hciioor..s.
»»
«1« a.i« >t.m a yea,., ,„ Hlu.t .i,,,.. will hi. „.,y |„. „|| ,„„;„ j
...L;^.;:^^;i-'::M"i:::l;;r^---;j:tjv-^
cJt^l™,:!:;\-;y::::;L;;;'t;;^;-;;t:;:ix"''''"'- -
i-"..i- "f u,tu:,- c„„ i,„ ,„,„i„ i„ .„„ ,,;„,";:::;::, i::. ',:,',t'„''' ;,■ :;;z
12. A limn h()ii!,rhtH.,i,jintif.y of feasuniw.stMl f.. 1... .i .
light. H,Mv ,„ud;»i„:,i;i i7;;,;;.f;,::; I'.rr'-''"'" «■"" < """™ "-
1. What ,„„lti|,l„ „f 51.5 ,li, i,M l,y 5115 ,.ivo» as ,|„„tio„., 5»5/
r.(.-u„l'»ilH.'."' '"""' "•""" '■'"!'''■ "f «-• «•'■ n *". *><-, Sl'O,
value of the wl,„l" "mestm^t f*"'"^' '""" ' ' ''"'"'■"■ ^L.-.t is tl.u
1
4. Change ,\ „f J + ~ * to a .si,u|,lo fraction.
5. What principal will anmnnt to *84() in 5 years at 4\ percent ?
6. If 1 ponnil „f tinea.! makes 3 yards of li„en 11 v-mls «-i I
how n,a„y pounds wonid nmke 45 ya,l of linen I yard wide" '
w'=
60
PROORRSSIVE PIIOHLKMS IN
ARITHMETIC.
ni
leii
1. Ton conts will 1.
'"ly apploH ,iro wortl
ions i
2. A
December, 1887.
I as nuich as u U
ozon oranges and 7 dozen
will a steamboat
man can run 100 yar]
go in oi days at tl
« ill 10 seconds, Jf,
10 same rate ?
w many niilea
of July to the Shh of
3. Find the interest on }fi!150 from
December, at 5 per cent, per annum.
^- A person borrows monev f..f a ., . o.
repays at the end of the ti e t/,n • r'''"T -^^ ^^- I'«'' ^^'"t-, and
much did he borrow ? Pmicipal and mterest, ^847. How
■ 5. A map is drawn to the srdo r.f J
m«.^ acre, aro .„,„.„...„,„, i^];';. ::i;!:;^fi4;;;',;;'t';;,:: "f '- h...
«• A merchant bou«dit 1 (MM) v.,..J. t
'""1 »"1'1 S ■>? it .t a |.r,:Ht , f , ;^' tt ":TI t '? "^"*'' " >■■■"■''•
the i,oui";rj:,:;;;' !;;* r^nt'iTijr^'f'v?-/? ^ ^ -' ^'- ™- -f
each. ^ '^"^ ^-^^"e of the lot; tind the value of
^^-^t^tftr:^L^z^:^s.^-^^^--
water
Jidij, 1888.
00,,^ ;l/'i;;;!:M,:;;:;r'i^!S;::;::;i-«f -•«? '-'..•>« -f oat, at«»i
buttur at .-SrA c.„L, ... ,'„,,':, '" 't '' "I'l'l-" .'t !<:i.H:, a l„,,.,vl f„J
AlnilHsfON TO MKJIt S('riO()f.S.
Gl
HiH
tri
N
Wl
3. A train
bniMinl. 54-Ve.t LI wh\^.^^ ^''^' ^--f '>f a
sluugle;i.oingMlouS' ''^'''" -' ^^^^ ^""o'' ^l'^' 'i^-t ruu- .,f
hovUo /-""'T'n'"''^"^'.'' nuiMher of men and 8 Ix.v.s • ],e tnvs +1..
Ooys .>().(,;> ;i„(l the men SI. J() ner ,].,v Tl,,. . . I, V^^ ^"^
to all was as mu-Ii as if .. 1 i i^' .' ''^V"'"""'^' ^'"^^ ^'^' I>'"tl
manynKUMverrempHecir "^ '""""'•^ ^''■'' ^'^^ ^^^^^ ^ '-^v
«• A held whose lei.irth ,s f,, t,s widtli -is 4 f,. 'i * • n
acres, 2 roods .'{•> ro.lv • «-], * •/ "'"f". •'■■^ -* to ,i, contanis 2
, - .»us, ..^ rods , what aie its dniiensi(.ns /
Mio second man's eioif.l r^ " .V '" '■'^^"*- "" '"-^ tNipital ;
man's capitaW i',,iM.iii> .>.»,o<m>. Wlmt was the first
Dfcemlwi; JSSS.
vocL^'^ImT "^"^^'^'^''^^'•"'•^^•"•f^^^^-tementof six weeks' .-ash
it-cciprs , a<Ul the amount vert c.-dk- ■owl I.-..;., *. >i '^'^'^'' *'i'^''
1st
2nd
;}rd
4th
r)th
Oth
}ilOS. ! Tl'KH.
^Vki). ; Til 11.
«^20.87§:}1.47
27.38: :i().()5
ii>.0() 20.70
2.'{.lt»
17.84
12. (M)
Fill,
.S3.'{.35 835 00 $20 Ki
28.;{!>, ;u.8;{: 27 v>7
21>.08: .S(;.10 25 4!)
Sat.
.^48.17
47. :m)
TOTAL.
32.73 .'il.80 .'{7.011 27.84 50:<H) "
31.10 27.;{(>, ;!5.55; 28. 10' 5;{.!M "
2(5.07 24.(M)j .•Jl.87
20. K
62
NIOOHESSIVE PnoUims m ARlTfTM^TlC.
t
I 'f
3. Divide $H2.0() fu.M^iHr 27 men -uwl "- i
may have three tin.es us un^dnL eS boy '" '''^''' ''' ^^'''' ^'^^'' »'«»
imha^;^:i^t;:Xn;u:.f ^'-^'^ ^-'" ^-'' intUtoNovcnber
much per cent, will he gniii / " ^''' ^"^ ^"^"^^ ^^ I'^'ck, how
grou;.(3(lr]e.^^^,:^f .^H,;-^^^^ ^^, wid. is built on a plot of
"^u^-nJSl;;;;S/in^s how
•> monuis at tlie same rate i
r
July, 18R9.
»ill 1! Iiuvo g,„io wlioii ho moots A '( ""'"■*' '"'''-«
4. Tho ciicmiiforeiico of ,-i wlieol i>i 22 .,f if. i-
J.4 y^i th;;ryK''ti;"t7:;r '"• ''T'-" ^" ■- -"*•
tiiHt period ? "^ ' ^''''^ '^'^'^ ^^« population at the end of
I>e,l!;rt!;!".r;;n:wn onat^of S^ Tf ''' '''^ ^^^^ ^->^«
the townshipof Seott noa uri^j.^ ^r^^""'"'';''' 'r^'' '''' ^'''"^ '"-!>
Jiow nmny acres does it ^^XinV" '" ^'"°''' ^">*' ^^ '» ^^'ItJ^;
I ^•..^//"''•'^" f f^n '•■•ivc the use of JS.T. f«>,. •? ,.„„^.. .
i'VMv much ft month shall I have to i,-,v f-"... n ^^1 '^^ m.intiis,
".ivc CO pay t(»r the mho of |58,750?
ADMISSION TO llFOir SCfK.OLS.
63
8
th
f«:t:.,;:3'";!,:;;::';^^rt:;''';'Tr'f"'' '"'■"-«'".
..."sand let V *"'"•"" ^ »''"* »'" 'l'-' l"."l.cr c,«t «t *17 per
the c„„.et„c.s of the wcvk i); nddin^, ;::!. i's;;''.?!:'''' "■"' "■■"^■''
Isfc
2nd
3rd
4th
5th
6tli
M«).N.
$28.7'.)
'• 2;]. 87
JO.iM)
29.i;i
18.47
19.02
Totals.
32.2U 2(;.73 34.45, 28.88 54.;i()
27.00 2<M)4 2i).89| 29.51 »;].<);{
on
)er
December, 1SS9.
what he »„u,. 'nviiiit s;? ti; :!Xi^'s^ s:r^ '-"^' «
p.Aut;i'^:!t";;'..!^^f,r;;';!;:^,r;;;' ':Vrf '^""- , K'^ -"»
inches wide and 4 feet deep ( ** "='' '"■""'"' " ^ f'-'"'' »
cf,^^r::l.di:;r;n^;^.;r'8r;!.!^ts^s,,---
he re.,,„i,.„d t„ e,',"-'"."*;:;';.;.,, ' '.;;:,'r,,'; •"'/'^•^' ^ -^ " ''"' "''''^' -"
i,,,/;.,!:^.'"''"""' "'-■"'' '" " '"'"■'^l''«"t ••'."I "' |"n,nd, of Iwvnt SKi a ton
;:;!,:tv;'r':;r;^,''=f;i;:?-,---j.>;:"-
-nimagrurHa..iJar; ;{2J poumls of
14 ' *"
t to
poiiiuls i:JomioeH Of bacon at 1(
111 casli. How much casli does the far
. . 'f Hug;ir at IL
lai.sins at 18/ cents per pound ;
nee
) cents a pound ; and the bala
in or receive /
^ ^«_^;^RE««lVl^rH(>HLKMS IN AKITHmEtIC.
'"J.'''^''-. \Vhat(li,fjs.u th's n-u/ ' '^^^'''^>^ '^^' '^ r-.^e 5 per cent
property renuuns m^sokl / ^ '' ^""'' '""* ^^'''^^ fraction of the
f,n-oon crop ; 7iiU acres of .,, "t' « "^ "^'^''f ^^^ ^ 9 147 acres of
"f PHsU.re ; Hn<I tlie ronmin cH^ ;! ^,^'""7 "^, '"^'^^^'''^^ ^ '^4 acres
of n.y farm is uncleared ? ""^ienred bush. WJiat per cent.
IvJ. Write f]r>u'»i H r II
--ipts; add ^: >Z.r^Z:^!t-J^':T'^' ^.'^ ^% -el<s' cash
the correctness of the work l>P^dd^;t IS^^^^^' ^"^^ ^^^^^
1st
2nd
3r<I
4tli
5tli
<)tli
Totals.
7l.;ji8 or>.4I
''>H.47 57.99
<)9.2!> 80.07
4r>.8) J>.'{.r,(J
<>-i.42 77.()8
'^VM).;i7;^98.i(}
07.02 51.42
82.!>i:
o;j..;<;
72.12
87.311
7(>.8<>|
90. 21 1
07.0<J
82.751
-odpSt::iol;;;tIt;s;i^^^^ -^^s- cash
correctness of the work by uddlnt Jo^ re^^lT^?^^ '"' ^"""^ *^«
Ist
2nd
3rd
4th
oth
(5th
Totals
(55.95
58.71
47.58
29.09
81.45
42.«5;j
f24.89..s,7(>.7iK^40.7«
41.05
99.57
70.80
5(5.93
(58,77
24.071
50.()0j
H7.9ij
54.821
81.79,!
{>4.2(5
80.71
74.93
9(5.57
(50.8(5
^37.59
70.2(j
91.82
3(5.03
12.72
31.87
.1^9.(51
42.51
89.70
21.90
9(5.07
76.82
(iVo mnrkH
is con
-* ;;| >,e aU.„„U fo. tkU ,u^.no., u,U„
'a all tiiK work
ADMISSION TO HIGH SCHOOLS.
supply for four ,Uys t-xtm. JIov, mZ ., 1 '"^''"l""» "'•'y carry a
way bou,„ ; aud .J f.. .el.Ll rate, ^i,!',; nlliraltU i/ ■,■; T/,',
6. On June 29, 185X) I horrniv*.*l «ui km a i
1892. ^vithi„ter;,.at4I^;";^;ll^tT;;,!;:,:;;;.t;;:rTl,::!;;r
drainh'^k^gtLti'^t'^e'nts^er'r' ff'T, ""« ?,''"' '"'^ '-■ ""''^T-
6« cent:, pef acrrnL;'' ; .^1 ;:^,' , '^?,^,f X,'-''' 'j ''-'.cl», at
rod. apart, and the fir.,t drain run/do tr^enSrl'of'th'rHSir '
A goes at the rate of 4 "S'a^.d B 'S i e, an .o"u " 'ii' ""f "''ti
A walk before he overtakes B ( "'"'' '" *'"
Deceml>eft iS90.
recinf7".Ln1'r'' "'" following sUtement c,f six weeks' cash
receipts ; add the amounts vertically and hori/«ntillv »ul
the correctness of the work by adding your reluTts ^' '""'"
m. 50: $74.08 $57.92 S78.81
73.55 05.43 81.47 80.57
91.32
(54.39
57.95
47.02
64.98
49.171
8,191 03.58 59.29 (
!K).54
70.41
42.8()i
Of
04.93
71.4(;
92.78
$51.27
74.23
83.57
54.39
07.44
)3.(J9j ;i0.08
$73,281
30.19!
75.()4'
40.37 j
85.10i
79.31
€)(]
pho(;kks.sivk vnoHLKMs ,x viari.MKTir.
2. A
what t
iH-TM.nsnH A iof his la.Hl, lU of fj
itMi roiiiniiicd, aii.l
pei-iicru. Find tJi
•fCl
le roiiiaiiider
VH(1 sno fi,i- wliaf he. l.ad Uf
of
ujiumlKrof acvs he had at first
t, at §!(;0
.3. A
groClT iiouirllf () cAVi. of
til
ni.s(df anil sold H
wh«»h' (jiiaiitiij'
'(• ri'st
«"-arw,r^n2.J0; he used 05 lbs
! f
•^•> as to iiiakr ]! cent
per 11
V much iMTlh. di.l lu> sell it f„r'?
'. ju'ofit on
was H,e a.LuI.t I'JiT;' ' "' "" ^""•'"'"••'- -'«!., M!«). What
If tin. „..„■,.„«. s, M.,', , "";r;^ • ' , ;.'v, r',""" ' "^ "-,--.. .t.
It ccst to carinif lliu Ij.ill ( ■" I ' y.inl, I,,, cliosun, ivliat will
rod f..,. „i,clu.si„., thi wl,„l,-fi ,' ', ,1 " f"'-d™'in}; aiul Si,;);, a
cent, mterc-ht did B pay / ^ ^1^0. Jo. \\ h^t nitu per
porLid aiid n^^:!: v'pi^i.ir^f .;;r,::r'^^^: "^.r-^^^ - ^'^^ --^^
the fanner T, yds. of hrnad.lo 1 ^ a ' / *i'*^ '"^-I'chant .sells
8 cents per yd., and 44y;^;i!;';! ^^.^'r'^^.f,:^' ^^'^ ^'^ -dico at
makes a pro.St of L'5 per cent u , ; , ■ .T''^^M'^'»- .y(I., and
trunsacti<,n^ndhownuidi(' '' ^'"''' ^^'^' "'^^^'^ '>y the
Jintr, isni.
ADMISSION TO muii SCH0018.
07
c«rr„ctnoss of y„„r work b;;,i;i,:;g\;::U:u|";''''''^' "'"' '""™ "■<>
l8t
2nd
3rcl
4th
Otll
«th
Totals.
Mom.
^75. 59
82.01
50.95
91.04
08.17
47.80
Ties.
$02.08
79.81
49.8.S
75.10
;M.75
81.14
Wkd. j Thir. : Fri. ! Sat.
TOTAL,
859.03 §02.78 807.:{0 891341
48.79; 92.1.'} 81.78 87.171
89.04
40.98
77.03
07.19
47.85
39. ()7
85.94
49.85
: >8i
59.70
93 19
48.77:
79.08
95.79
80.97
98.99
3. Brooiihs are l)()u<rht wholos-ilo .,f <aoA ,
profit win l,„ „„„,e by »dli„!;'&f2^tmferi;r''''' '*^ ™"'-
605 sq. yards. ' ' " "* «° "' '** *!■ ■'"'is; ■« of 2J ti,„t.„
■27 Vti;'7r-"H:'t,*;f :f,ir.«r'f Vr'^""- ■'"« "^ "■»«- »<"
ai.oo„left, Fin.Ui.^ru.oltnVi-so^^i^tlrr.S""''-""'' ""^ =■'«"
Find the shares of "each ' '"' " """ S"' ^ •" '"""»' '« C.
vai:e:;'T,,:;ifr';:;^c:„tril' t ^i^t^^ '--'^^."-^ ^he
are in each chest ? ^U«iw j. How many lbs. of tea
oeep; ^':;:,^ ;:;j*-''c"f;,r,.t.!;;', ■'.fji- ;""-• ^'^ <^- -'>--• -■" <> ft.
eumeut at 10 cents per square yard. '""= " "'"' *'"'■*""'
"■■ ^"'di: l:;;Int oVS45':";\;^;r,f;:"?.T"^' ""-j- "> ">.»iy
34 cords of vvdod at *.l .".n
bhi., 350 Ib.s. of ti
<>^^\^hH. of hayatS15uer
j'CT Goni, 4 biWs. of apple.s at $2.75
cents
and to whom due
.our at $2.50 per cut., 30 11
I- lb. Make out the- aciumV „;ary
toil J
l)er
>«. 10 oz. butter at 10
showing the bahuice.
I
68
\h\
PROGRESSIVE PROULKMS IN ARITHMETIC.
Note. -Candidates .». „,
otherN. TnthoHrstquostionf
June, 1892.
are to take the first question and
our marks are to l)e allowed for F
any six
^OHM
Hvo umrks ,m.y be a,UIrf tr miatness ^ """'^'- ^ '""^""-n. of
i«"K,>t':- ""' "" '""""''"8 account, „«,«, „„„ „,,„,„j„,y^ ._,
' »"« i)ai(i you *10 on account April 8th.
^ ll).s. tea, at 80c.
^^00 lbs. sugar, at 4|c.
45 yds. print, at lljc
24: galls, syrup, at «5c.
12A yds. towelling, at 12Ac.
Ijloz. knives and forks, at $2.50.
'it lbs. cheese, at J 5c.
1 lb. 10 oz. lemon peel, at .">2c. per lb.
2. A load of wood 10 ft ln7i<r '\ f*. o • i
was sold for US. ^' ^ ^'- * ""^'"='' """l". ••'»<l •'* ft. high,
(a) VVhat was fcho price per cord ?
(*) At »4 per cord what would the load be worth ?
a two-s';!;;:;'X-"»i '^^rt ^'r^'r'" -v' '""" «<»- -f
lOc. per 8,, yd.) The w'dls t, ''i« f '":'P,»'"" "« feet high, „t
to be' „,adl f^r cor'n'i'ir'.pe'.iu'; '^ pSlll^.T'' '""^ "" """"-'-
arat„F^tr;S m2^:I;db'''^ l»t. 1892,„„ a note of $80,
annum ? ^ ' ^^''^' "'"' ""^"""a ""«"•«»»; at 6i per cent pe^
chict,« af25c"\;':*t^;;L' IrTr ""^^'""'■ y- -" '-"y
or 8heep at ,*5, .'.r pi^,' .t «7 c^cows af «^?. "* ^l''' "' '""''"' "' «»•
have exactly |15 left for expenses ? ' '"' "''"'" "' *"•*■ ""d
one';efr-:^rr;^Ti^\Xu!;'l';fariirz^^^ "■"' ««« f«
Ofil' ,'^^'"'.' ''.'^''""'^I >"<>»»■ he l«ken fro,., the .„.n of fiq- » <> . . -
.065^ and zO^, »o that ,t w.n contain 6.06 an exfcf muA^Hf
C
f
I
f
p
II
tl
AbMlSSIOK TO tllGH SCHOOLS.
69
111
^n ^i/^ ^"'J r-}'"^'^ *-^-^*' cllfcting Hoc.untH f„r h physician He
was allowed 5^ per cent. ; what anu.unt ,li,l hv. collect ?
tees^lvL'lM.nru''!: P'V'f""'"' '^ '^'^•^^'•'^'^.^"^ f'"- ^ir><),(KH). The trus-
tecK nave rmilt a .school-houso costing i!!'l,8(X).
('0 What will the school-house cost a ratepayer whose pro-
perty is assessed for !S!4,r)(M) ? ^
W NVhat would be the rafr of t^ixation per annum on the
whole section if the house were paid for in six equal
annual payments, without interest 1
June, 1893.
coal at ^b.to per ton. Mow many pounds of coal does he get '(
2. Nathan Cmd sells you 752 lbs. of cheese at ll?c ner lb
and receives the followin.r <r,K,ds • rMiU-.. ....f ^r 'M^. pcrlh.,
,^vun „... . ..I 1 '^ j,«'oas . ^^IVi,lKe (jut the account m vour
own name, with place and date of this examination.) ^
11 yds. silk at |!2.25.
400 lbs. sugar at 4gc.
12 lbs. rai.sins at lie.
J*0 lbs. nails at 'A^c.
oii yds. grey cotton at 9^c.
11 yds. white cotton at 10c.
3 prs. gloves at 75c.
floor ^r"tl ^^^^ i^?'''^^"^^^ I^''^^' ^-'<^ P^'^ *J'-»'^»d fo^r a new
flooi , llo per thousand for a new board ceiling ; 10c per so Td
tt. wide at the bottom. Find the total cost at 9 cents per cubic yd.
5 How many miles must bJ travelled by a team in nlou.diin^
{z:wTio'i,E;^,^/''' '-" -"" "■"« '-• «' ■■-""i'K "f -h^
he cheat his cu/toCr? ' """ '"""^ """'' "'"^'' "^'d
ro
PKOORtSstVK PUOHLRMH In AlUTrlMKTtC.
'""■■"->'»■ etc. Fi,ui ti,„ vHi!,l „f ;i;;:'i';„';,l'j;""' *"'"'■ "f "» vuhi,.io,.
»• Write the foil, „vi„g in f,j,„r,..s:
{«) Fifty tho„«.„„ „i„„ |„„„,,,;„, ,^,,_, _
(I') N,„„ |,u„,lre,| t),ou»Hn<l n,„I ninety,
W Kight l,„n,lre,l ,.,,,1 seven ^ „,, . , j j ,?"•
<J rZ ",',""• "•'"''y-""'" ">..u.„„I ,.„,! ninety „°r'
W •;;■'; '■"n,l„.,I,u„l Hovent,™ nnllions ,„„. ninety-three
0. N-;'...".Ire,, .n,, nineteen t.„„.™.,,, f„n, InL.Xn,.
|i>l
ing liilf : '*"• '"" "' '"■■'!>- f""» ■»«' «n.l the .mount of ,.),o fo„„„.
•Millie Isf,, 1894 (I \f
Toronto, 488(n.us;;j6 Ibs/wl^at-^Ht'^^^^^^^^ soW to John Scott,
full for paynent of aecovrnt, 2«tlf i?,ne "" "^^ ""' ^ '"^^^'i^^ "^
gal W I!:S27^ 2?/S: '-t^^^^ ^^«V -d an imperial
pint of water. "^'^ ' ^"'^ ^'^^^^ weight in ounces ,
bian'l^j:^;^^ ^ the C<.Iun.-
HcrcsTO rods IJ» yds. 7 Jee ' Th^^^^^^ "area .f 30
How many feet in length wasit? '^"'^ ""''' ^^^ ^^^«t >v'ide.
of ^.3^'^K;:;;rSi: "rjJ ^,V7 ^"^^ «^" *« -^^^e a proht
of 4 for 3 cents V "^ '""^^ ^^ ^ ^'^^ •* c^'its and sells a^ the rate
5. A sells goods to R at a gain of lo ^.^ ._^.
=^."no goons to (T at a gain of 7l^ner c«Mit"'-^P \
guods. How much '^^ * '*. per cent., G paid
aid A pay for them ?
Ml
sells the
> for the
AnMJSsrOV TO iiKiii sciloOl,
n
<». A <,'p;ivi;l-lHtl wliusr -,111 tuiv lias an aiva of 4 acivs contains
gravel (o jin nvuia-,'.' .h-pth of <; f,..- ||,.u manv niilfs (,f n.ad JJ
feut wulo can be covered fi-oin tli, vil m tlii' kul, if it Ik- spivad
on fo a miif. .1 1,1 <li.|)t li of H inrht's ;
7. On tlic ITith OcrohiT. 1,S'.(.;, ,, vciiiiL,' man dt'poHit.Ml in fho
Savings liank tiic sum (.f SHiK).;.".. On the 2(>ili Afay, 18!)4, ho
Witli.hvw the principal and simpii' inlcnsf at 1 per cvnt.'ptT annum
VVhut finiount did he withdraw /
H. A man spent ^\ of jus monry f..r a Iioiin, , -^ ,,i (hi- remainder
for cattle, and the rrst for n farm. If the farm cost him 8:5r»7 1, ^h
than tht! hous,. and cattle to^rethcr, what did he pay for all !
o , , ^. ,., r.-(^'^) .(\nf\)+(nni5)
.>. Of) Sunpl.fy: ^V + d^ "f ^U)- (J of H^) !^ k-H""
/' IVrnlliply ;;.,(». t l,y one* and .livi.l(> tie! | rodnct J.y .(XMKL'M.).
ANSWERS.
Exercise 1.
1. 2,4; 2,7 ;.V,; 3,7. 5. 2,;n.
2. HJl; njH; 2,i;i. (5. 2, .'{Mr(].
•i- 2, 2, ;{, :U. 7. 9.
4. -m. 8. 3, 7.
1. 3 gal.
2. 14.
3. 9 in.
4. (M) 11..
1. 14, etc.
2. 24, etc.
3. 1 gal. 2 (it.
4. 72.
1. G4 cu. ft.
2. 175.
3. 33(J ; (572, etc.
4. 100300.
1. 24 ({uarters,
2. 71.
3. 40 barrels.
4. (>3.
3, 7
Iff' 2ff-
1.
2.
3. 04 cents.
4.
Exercise 2
5. 44020.
(i. I7r.7«;.
7. IH bii. 3 pk.
8. 47.
Exercise 3.
5. 11.
0. 729.
7. 70 cents.
8. 135(i«.
Exercise 4.
5. 15 ft.
(i. 21 lb.
/. <) yr.
8. 1081.
Exercise 5.
5. 81.50.
«. 9.^ pt.
7. $19.50.
8. 4^.
Exercise 6
5. i : f .
7. 36948; 2<i976.
8. If lbs.
[73]
9.
10.
11.
12.
24.
225 H(|.
12 ft.
3002.
in.
0. 7.
10. $ii.
11. 11.
12. 8r(].
9. 212.
10. ft.
11. 5(loz.
12. 235.
9. !^91.
10. 4 mi.
11. 0; 5.
12. 72 cu. yd.
9.
10.
11.
12.
9587.
\\
128 bu.
9.
10.
11.
12.
9^ bu.
$053.94.
$20^
60 cents.
u
iMKUJilKSMIVK I'UOliLKMS I\ AUITflMKTia
i. Oj'^fj cwt,
4. ;)(M» ni.
0. lM>47ni»7.
Exercise 7.
«;. Mill !w.
7. <» yd..') ill.; 1 v,l.
L'ff. ;5 ill. ■
U). S-J rents.
II. L'7<i: ;{si.
iL'. .^loi.;:).
1.
2.
4.
1. !«,.
2. .ijf,'} Urn.
4 a H .{
^* ITStf-
Exercise 8
<■». 20 ; 100.
t>. L704.
"'►■ «f.\y<i.
II. IH.; mi.
Exercise 9.
1. miy,.
-• I g'li. I (|t.
4. 8 in.
2. ii ac.
3. 4 ini. 1()() 1(1. ; ;{
mi. liiO rd.
4. 28r»^Ji Hc.
T). ^L'C;;;--.
♦>. ;ir).
7. «lx,H',
-s. Is-'.
Exercise 10.
r>. O-SJ I,,,.; IO(L- 1,,,.;
'•/ l.ll.
IOl'-'
7. '27 \i i-d.
H. I.'.'
10. ^:i\;,
11. x;;;.
12. 20j^
JO. l4H-,'al.
11. 20i-i>nt,s.
12. I
7.^
2. 12748715.
4. 4!>.'i!)j|.
1. «iir)}o
2. ^
.'1 90 ae.
4. .,1.
1. ()3.<1.
2. .S hn.
3. *185.V.
4. 02^uouts.
Exercise 11.
T). Ji!?:{r).io.
SO'
7. h; ft.
8. ><2:»i>4
I o-
Exercise 12.
5. 8,V
<>. <!| cents.
< •'^8,,',, i'(;nts.
Exercise 13.
<>. r> ft. (} ill.
«. 7M.
7. !B2:
8. 2 ft' U ill.
a* 840.
10. #2.70.
11. 18., Ml.
12. S:\1.h:).
::.it.
!». 20 I)u.
10. ,••<, 11,.
11. lOci-nfM.
12. i<:\Mil.
5). KJj^.
10. ;i2't..ns.
1 1. l.'i;] oeiils.
12. 108 eu. ft.
A!*SWKIl.«|.
n
1. ^17.
2. 9, «, cents.
:i. 22 ft.
4. 12 l.oys.
1. h;^i II..
2. «<«>.
3. $2000.
4. 4.
1. IH.
2. r»()y,l.
4. 24 i»limi8.
1. ^)5.7(5|J.
2. 1250.
3. 25 11),
4. 76ct8; $1 ; Jll.75.
Exercise 14.
(). 10 oiiiits.
7. 2ir>,\ mi.
Exercise 15-
a. 8580.
7. i!^2l
8. 20 cunt h; 10 cents.
Exercise 16.
5. 70.'i NCI. y^\.
<). .'{«>. 84 j. '
7. .^l.'l^'L'.
8. !ii5|82.'50.
Exercise 17.
5. .m.50 ; :i^27.
7. 2 men.
8. ()0 cent.s.
1. 48 1b.
2. n.
a. $<j(;5.28.
4.. ill.
1. 45 cents.
2. ;i\^ HO.
3. 35 cents ; (J cents.
4. {)4^ac.
1. 1 ton 042 lb. 4oz.
O 'io ,
3. 250 doz.
4. 32.
5. 32 ac.
Exercise 18.
5. U lb.
•<}. !g55 75.
7 "5
8. 105 mi.
Exercise 19.
5. 12 months.
♦ i. 30 ft.
i. 3^.
8. ^15.
Exercise 20
(5. 2151^ gal.; 110.',
gal.
7. 17ii cwt.
8. »21.4J).
9. (Mb.
10. n doz.
11. $58.50.
12. ^i.
!>. <iO cents.
10. 140.
11. ^%1.20.
12. JI750.
1>. 81«>8(K).
10. $'i^.
U. 47 ac. 112 s(|. rd.
37 ac. 80 s.i. rd.
12. «!3510.
0. 52 ft.
K). (iO marbles.
11. 8yr.
12. $^8.70
J>. !B1(;5; Ji!l80;|155.
10. m.
n. 23^11,.; 27-1 lb.
12. J|14.
0. ^4i(;(K<;<ji5'.
10. $2; $3; >2.20.
il. $1200.
12. 3 hens.
«. 2f yd.
10. :!i«i4i)0.
11. 14.
12. 5 yd. 1ft. 5|in.
76
1. «6 ; $o.
2. $20.
3. 1^.
4. $20.10.
5. 2800 1b.
PROOHfiSSlVli PROIiL^MS m Altll'HMEtld
Exercise 21.
?■ f? r.- - I'^- ^ ^*^- 11- ^'*'^5 *45 ; $.'39;
7. $1.50. 145
,^- ^ '^^- 12. 9 mi. 73 rd. 2 yd.
9. 44t()n8lGowt. 41b. 1ft « i,.
10. 38. "•
2. 8 cents.
3. $1.20.
4. 9 men.
5. 8 cwt. 72 lb.
Exercise 22.
G. 105.
7. 30ct8.
8. 3j,9j.
9. 1000 gal.
10. 20cts.
11. 9 8q. yd. Csq. ft.
36 sq. in.
12. $12 ; $8 ; $l\.
1.
2.
3.
Exercise 23.
1- If- 5. $98.
X' '^^' 6- 4 papers.
?• if- 7. fy>v.
4. 84.80; $2. 80; $2. 8. 24 men.
Exercise 24.
1- 775 1b. 5. 84 ft.
2- MH- 6. 48 cents.
3. 70 cents ; CO cents ; 7. 20 ; 10.
40 cents. 8. $6.
4. $1.05.
9 1
10. $1.G2 duo you.
U. $17.30.
12. 20 ft.
9. 9 ft. (5 in.
10. $.308.64.
11. 6.
1*. 15 ac.
1. 45 ft.
2. 5 horses.
3. $40(K).
4. 10 rolls.
s- mi
fftVffij-
Exercise 25.
6. 12 hr. 10.
7. 4 lbs. 4 oz. 11. 1957^ 11,
H. $1035. 12 V . I. .»
9. 20 cents; 40 cents; "' "" ''''
80 cents.
1.
2.
3.
4.
1.
2.
3.
4.
1.
2.
3.
4.
Exercise 26.
1. $1.62 you owe. 4. 72 cents.
2. 91 8(1. rd. 12 sq. yd. 5. 6 min.
8 sn ff Q'7 i a., li IK'J
^^' 7. 5 days.
3. 10 bundles. 8. 18 cents.
9. $435.60.
10. ion.|.
11. o ib. ; 15 lb. : 60
lb.
12. $189.
ANSWERS.
7
Exercise 27.
1. 7776 sq. in.
2. 3| lb. ; 6 lb.
3. 2 cows.
4. $9.86.
5. 837.50.
6. 18 ; 30 ; 108.
7. 264 ft.
8. 36 sq. in.
Exercise 28.
10. 12 ft.; 9 in.
11. 10«'J68.
12. 80 cents.
1. 3jj hr.
2. 20 mi.
3. 140iy(l.
4. $11925.28.
5. 6 tons 417 lb. 11 oz
6. 14 days.
7. 95 cents ; 5 cents
8. 8 ft. 3 in.
Exercise 28.
. 9. 20min.
10. 80 ; KM) ; 20.
11. 8227.70.
12. i
1- iV
2. fA.
3. 0546875.
4. |!;]8.
5. 5-501.
6. 70 men.
7. 29-9498.
8. 8360; 8320; 8120.
Exercise 30.
9. 95-70236 uc
10. 10 hr.
11. 824000.
12. 15.
1. 0073.
2. 84.
3. 5005.
4. 114|yd.
5. ^.
6. 370-7042.
7. 5 days.
8. 3-993.
Exercise 31.
9. 42 ct. ; 43 ct. ; 14 ct
10. 90 cents.
11. -323.
12. .70 hr.
1. -758.
2. 7 days.
3. 1^,.
4. -078.
5. 14 mi. 68 rd. 4 yd
2 ft. (} in.
6. •;}94.
7. 87.<}8.
8. 85 ;|.
Exercise 32.
. 9. 109 s<|. rd.
JO. 10 mi.
U. 178.
12. 11.
1. 176-34.
2. J.
3. 20-832 tons.
4. 12 hr.
5. -000010201.
6. 88; 68; 44.
7. mVOm sq. yd.
Exercise 33.
9. -08322.
10. 32 ft.
11. 8119.04.
lot
1-. jjj.
1 §tiifiK(\
2. iit'
a. 837.70,
4. 2 WGoks.
5. -715392.
6. 54 bu.
7. ^22.90,
8. 34 cents
;). 81.56.
10. 813.50.
11. ^ day.
12. 356 ft.
78
I'ROORESSIVE PUOHLEMS IN AIllTHMRTIC.
1. 7-503 lb.
2. io.-><; CU. ft.
3. 16080.
4. 8hr.
1. 104-5 centH.
3. lOOOl.
4. ^KKK).
•2rd.
1. .33-
2. 70 cents.
3. •04()875oz.
4. ;|^14.
1. |il.25.
2. 04.
3. 6 ft, f) in.
4. 3-775 mi.
1.
2.
3.
4.
5.
IrtA-
232(»0 lb.
40 per cent.
$120; ^50; $',m.
1
Iff
1. 7i per cent.
2. J§3.72; $2.4(5.
3. 'i oz.
4. ^(i ; $12.
5. l()5ra.
1. 50 per cent.
2. iiVA.
3. 100 per cent.
4. 48 ; 30.
5.
(5.
7.
8.
5.
6.
7.
Exercise 34.
3-84.
(J lb.
7-1)2 in.
$20.
Exercise 35.
1H0(M).
2=1} (lays.
$0.35.
90ct.;«Oct;40ct.
Exercise 36.
9. -00081.
10. 10r(1.2y(l.lft.0in.
11. $355-()2i.
12. ifA.
0.
10.
11.
12.
5. 5 (ly. 11 hr. 52 niin. 0.
48 sec. 10.
0. 1^ s(|. inch.
7. 50(l<>z. 11
8. $3.20.
12.
Exercise 37.
o.
0.
7.
8.
180ac.;00Hc ;30ac. 9.
15-5125 cvvt. 10
*117. ll'
25(MK). 12.
*2 1-0924.
15 yd.
5-049.
$27.
4 days.
3 })k. 1 gal. 2 qt.
S72 ; $108.
50 cent-s.
4 men.
.0078125.
$12.
3-29.
Exercise 38.
0. 22.iisec.
7 •■' "
'• 4 00-
8. 3 mi.
9. $3.
10. 0.^yd.
Exercise 39-
0. 27 days.
7. 04 per cent.
8. 175 Hc.
9. 5 i»or cent.
Exercise '10.
5. 20 cents.
0. |?1 .54
7. $81 ; $45.
8. $381.
11.
12.
6 per cent.
4hr. 2l,», min.; 4
hr. o4y", min, ; 4
hr.5i\min.; 4hr.
10.
11.
12.
38 j-^ nun.
7 o'clock.
4 Hcj.rd. 1 H(j. yd
&q. ft.
9. 25 cents.
Hi. $.'U"».80.
11.
12.
$<}« ; $5
$3.50,
1.
2.
3.
W^'V
AN'SWKUS.
79
Exercise 41.
2. il2-HH.
3. $i.m.
5. $150,
(5. 81 11)
7. »; .
4. 5-
8. 44.
10. 12 weeks.
11. .SI 75.
12. 28 cents.
Exercise 42.
1.
3.
4.
8750.
S20!>5.82.
•S<'>78.
i>.
0.
< •
8.
J?0(>.
84.
5i<040.
$(J0.
1.
tut*
3.
4.
00 C'Mlts.
5? 1 108.80.
^1.44.
8200.
5.
0.
< ■
8.
Exerc
12 mills
*> 1
«> (tuvs.
.92. 2().
12 rows.
1.
o
3.
4.
5 ft.
25 -X.
Exercise 44.
27
^2'
o.
— <»/>•
00 cents.
1-
t ■
8.
.•^1.50 : 4
20 l,r.
0. '.
10. §17(M).
11. 12 <
12. KM) cu. ft.
*•>. 12 cents.
10. '.J.35 A.M.
11. 33.'j per cent.
12. 20 ; 21 ; 41.
». 567o
10. 1500 11).
11. 85450.
12. 22.^ hu.
1. .822400.
2. *8.40.
3. 848.75.
4. 1 ft. 11 in.
1. 373. ^ .
2. 805.40.
3. 20 °/.
4. 824(M).
Exercise 45.
5. 20 cents.
0. I
7. lOOt,^•l]l.
8. 00 ,.
Exercise 46.
5. OH < ; 82.
0. 4 hr.
7. .80 ; 83.50.
8. 8 1. .'55.
0.
.840 : .8.50 ;
8H0
10.
20°,.
11.
4 years.
12.
14f
0.
1
10.
10 cents.
11.
04.
12.
40 cents.
1. .8000.
2. ^y iir.
3. 3(> cunts.
4. 88«)40.
Exercise 47.
5. OOij per c.Mit.
0. ^?«lHys
7- ; >• i;t I cent.
8 ^^:.0.
0. .'JO (-nnts
10. 2|lh.;.3|ll,.;2^1l).
1 1. 24 [)er cent.
12. lyOO lb.
80
PROORKSSIVE PROHLKMS IN AKITIIMKTIC.
1.
2.
:i.
4.
1
1
12 mi.
«46
1
S'
Exercise 48-
^- $44. 0. ^140.80.
C. $1.20;40ct.;20ct. 10. 102 lb.; 120 1b.
7. '«^10(). 11. 345H.
8. 2 ft. 4 in. 12. 50 II).
f 257. (JO. 5.
2. 80ct.;.«!1.20;$1.50. (;.
3. ^1.08. 7.
4. 126. 8.
Exercise 49.
$28.80.
50 conts.
$04.
8f hr.
Exercise 50.
1. $15.00 + .
2. 4 mi. ; HI mi.
3. $7(H).
4. $850 ; $200 ; ;?0(M).
1. $11M).10.^.
2. 30 cents; 24 cents.
3. 4 years.
4. 3(5 lirs. ; 45 hrs.
5. $2400.
1. $140.00.
2. 10; 24.
3. 10 year.s.
4. 16 in.
1. $6(>«.88.
2. 173}^ lb.
3. $.398.51+.
4. 105 acres.
1. $080.
2. 4({Ib.
4. $18.
6. $8.44.
5. $22.()8|.
0. 7 pints.
7. 40{M».
8. 20 cents.
Exercise 51.
fi. 12j^'g sq. ft.
7. 7 |>er cent.
8. 1141m.; 100 bu.
114 bu.
Exercise 52.
5. $24(M>.
0. 8 (lays.
7. 8 per cent.
8. 00 cents.
Exercise 53.
6. (»0 ctints.
(». $11200.
7. 10%.
8. 24 days.
Exercise 54.
0. 40 cts. ; (>0 cts.
7. $17.(54.
8. $3a.50g.
9. $33.75.
0. $737.87
10. f mi.
1 1. 35 per cent.
12. 100 sheep.
0. $24(5.
10. (5(5 rd.
11. 3 years.
12. A33dys;li(i6dys.
0. Oi per cent.
10. 20 cents.
11. $015.
12- A.
1
2
0, Ojl per cent.
10. 2420.
11. 30 years.
12. $7('M).
0. $40.
10. $(50.
11. 70 cents.
12. 1200 yd.
10. 75%.
11. $(50.
12. Mary 30 ; Jane 12
Ellen 21.
I
ANSWKRH.
1. So 1.25.
2. »(K).
.'1 Dec. 1, 1894.
4. 00 cunts.
6.
8.
Exercise 65.
^UXMJO.
7 mi.
.'iO cents.
0. ?4rH>.
10. *I8 ; 6.U
11. 22 mi.
12. 15d()z.
1- 21]%.
2. ^ mi.
:i. 1] gal.
4. 14 per cent.
Exercise 56.
5. 4.}, ac.
«>. .'U)ini.
7. r>() lie.
^. IT) cents.
0. 81)."). 70.
10. 45 H).
11. (» in.
12. 21 mi. 80 rd.
62
PR0GKKS81VE PHOHLEMS iJf ARlTHMfeTlft.
ADMISSION TO HIGH SCHOOLS.
1. Book ; 5783, Remr.5.
3080. 6.
2. 1031] t(.ii8; ^3300.
3. $!2m)27-84i. 7.
4. ^319. 37i 8.
Jvne, 1883.
.•$14 5 1. 'J. 441 (1 •()i\Ai)\
H»(2SS() > •37nfT- •'• W'^'+.^l-
J 33/, cwt; lOOcwt; 10. 4 hr. 21 V, min. ;
13^ cwt. 4 hr. b^^ min.;
$.3.56]. 4 hr. 38A min.
$5.25 + .
December, 1883.
1. 720300, Remr. 128]
2. $3(5.08.
3. Not so ; 9^\ times
4. $508 ; $438; $254,
L.5.
().
.7.
15.
•0014997.
$14.56.
June, 1884.
8. 2931 yd.
9. I
10. $4.81 + .
1. 7070.
2. ]49()88 ; 119.
3. -00278 + .
A 72 1 . 1
5.
0.
7.
$8.76.
281 hr. ; 36 hr.
48 hr.
December, IS84,
8. 5000.
9. $110.88.
; 10. $24.04 + .; $240;
8%.
1. 80407089.
2. 221.
3. $12().805f.
4. (a) 22H|^; {h)
5.
6.
7.
111 ft.
7 days.
25| gal.
June, 1885.
8. $19.16 + .
9. 4 hr. 19i\ min. ; 4
hr. 24 min.
1. Book-work.
9 12 61
3. 28-89927017.
4. $93.39^.
5.
0.
7.
8| cents.
$43.83|.
I63 years,
December, 1885.
8. $266i| ; $933|.
9. 3 hr. 16,4 n^iij . 3
hr. 13}^ min.
10. $90.
1. 2, 3, 5, 7, 11.
2. ^j; 28152.
3. $1890.
4. 6^.
5.
6.
7.
•000372.
A yard ; a day ; a
sovereign.
8. $132.
9. 4hr.
1.
2.
3.
1.
2.
3.
AVSWEIW.
83
1.
2.
3.
1.
2.
3.
4.
5.
July, 18S6.
125t028(),V; 478'>nn 4 stld. . 'in c i
$52(>.70
52 timoH,
•00)1.
1] mi.
8.'i7.5().
30 cows.
•1
5rt'
<). $2()0f) ; Hiu'rceiit. H. J(»"> yd
«. !i^424 ; ^:U\4 ; ^212.
1.
2.
3.
1.
2.
3.
4.
1.
2.
3.
364025.
8300.
81000.
205.
2700 mi.
$3.(M).
8700.
Book -work.
H. 5 yours.
7. 27eonts.
8. 12. , ijurs.
/m/*/, /.SW7.
5. 8H85.713.
6. 12 1b.
Deieniff.r, /,V,S'7.
5. 25({(»Hc.
«. First m.-iii ; 827.
7. 901»,'r oz.
8. 8720.
J"ui»/, /.<?,S',<?.
4. 8412500.
5. 8240.
10.52 P.M. ; 246i "»i. <>. 14580 .sliingles.
Vccemhrr, ISSS.
1. 81169.36.
2. 82.80.
3. 850.70; 825.!K).
1. 70 barrels.
2. 8117.08+.
3. 24 mi.
r.s.
1. 80 ce^
2. 80.10 + .
3- 54.^«i| mi.
4. 8349.71/y.
4. 815.07 + .
5. 83,'j per cont.
0. 3(527 cords.
Jnlij, 1SS9.
4. 4^ ft.
5. l.TUO.
0. ()()480 ac.
December, 1S89.
5. 8320.
«• 170if!?ya.
7. 82.2f».
10. A No. is oxHctly
div. I)y0ifthosinn
• )f its dij^'its isdiv.
by with»Mit hifiv-
ini,' a romaindor.
11. 84 lb.
12. 800.
7. 8250 loss.
8. 8| months.
0. 0] per cent.
0. 4!»28cu. ft.
10. 8I2«M>; i^t.HK).
11. 77UO, gal.
7. 12 men.
8. 24 rd. by 18 rd.
0. 8l2!>;i7.50
7. 817.50.
8. 307g sq. yd.
7. 84;{.75.
8. 8448.80.
0. 81171.41
8. 84070.10,',; ^.^1
0. 20+ percent
10. 82048.78.
Si
rnoORKSHlVT- I'KOIJLKMH IN AKITHMETIO.
July, 1S90.
1.
1H22I.S.47.
4. |<lf)8.4(>,
2.
9 ytfars.
!«<»«.
3.
48882 c-u. yd.
r». i?«;7.20.
(5. «!18.47 +
1. f24»r>.08.
2. KHhic.
3. 11 cents.
21 2 i!ji. from K.
1. $254.3.22.
2. Pi)2.40.
'^. 44 per cent.
1. $.'{|.8!>A.
2. (a) ;i?.S.40/j ; (/.)
3. $4y.t)0.
1. 221>3.'{.i Ih.
2. You owe Curd
$m7i.
3.
5.
4.
6.
6.
'if
ml.
7.
4.
5.
().
8170.22 + .
^440.
2(KM> sheep.
|!25()0 ; $30()0 ;
Jw/tc, 7^.9j2f.
$81.(58.
$54.%.
^8.
•11.
JB204.
148i mi
^'i5."20
1. $2!M(5.4f)j^n.
2. 20 rf"'„V.. <;z.
3. 1087 ft.
June, 1894.
4. ()2(M> oranges.
6. $.il26.
(5. 27 mi.
7. 10 years.
8. «)0 (lays,
y. 20 mi.
7. $23.25.
8. 5 J per cent.
9. The merchant ; 60c.
7. KHJ; 75.
8. $8(».
9. 80 cents due B.
8. $.'{«;8.
9. ((() ^54 ; (h) 2 mills
on i.
7. 45 cents.
8. $1750.
9. Book-work.
7. $881.21 + .
8. $2261.
9. (a) f ; (6) 108000.
Di
ONTARIO EDlfOATlOX DKPAIITMENT
EXAMINE TrOX PAPERS.
Public school Leaving.
June, ISns.
1. (a) What is meant by tho prime fiicto. mimlior ?
(b) Find the prime factorH of VVSM), 22()rA 1 L'.SJi^a, ami
(r) By means of the prime fact<.r.s Hiid their (}.(\M. and L.T.M.
2. A man owned !».S,!»4(> Hank Sun-k which paid.t yearly divich-nd
of 4i per cent. lleMc.hl out at lOUi? ami invented the proceeds in
Michij,'an Central Stock at 74,^, j.aying a yearly dividend of ;i por
cent. By how much was hi.s yearly income changed i)y the transfer #
3. Find the proceeds of tile foll(»wing note:
$2,4()().00, Hamilton, Feln-nnry .^rd, 1S<»2.
Five months after <hite, value received, 1 promise to pay
Thomas Cowan, or order, the sum of Two Thousand Four Hundred
Dollars, at Bank of Hamilton here, with interest at t> per cent, per
annum.
Vance Allkn.
Discount. .1 May 22n(l, 1H!)2, at 7 per cent. (Year^^Ofi days.)
4. A machinist sold two seed-drills for equal sums of money.
He gained 25 per cent, on the one and lost 25 per cent, on the other.
His total loss was .«9.<i0. Find the cost of each drill.
5. A commission merchant sells a consignment of wheat for
$27,500, on a commission of 2i per cent. He pays $250 for freight
and storage, and wiih Llic net proceeds l)uys pork at >50.25 per cwt,,
charging 2i per cent, for buying. How many cwt. of pork does he
buy and what is the amount of his two commissions (
B5
MICROCOPY RESOLUTION TEST CHART
(ANSI and ISO TEST CHART No. 2)
1.0
I.I
1.25
4 5
2.8
■ 50
3.6
40
1.4
2.5
2.2
2.0
1.8
1.6
A APPLIED IIVMGE
inc
1653 East Main Street
Rochester, New York U609 USA
(716) 482 -0300 -Phone
(716) 288- 5989 -Fox
8r,
PROGRESSIVE PROBLEMS IN AHITHMKTIO.
0, Find the cost of the material rocjuirod to fence 2^ miles of
railway (both sides), posts placed 8 feet ai)art, an 8 inch b"i.se 1 inch
thick, a 2x4 rail at top, and (i strands of wire. The posts cost 12.\c.
each, the lumber $14 a thousand, and the wire 4c. per lb. (A lb.
of wire stretches one rod.)
7. (<') A circular cistern. 8 feet in diameter and feet in depth,
is tilled with water to the heijn;ht of (} feet. How many ^'allons of
water in the cistern ? {\ cubic foot of water weighs i,()(MJ oz., and
a gallon 10 lbs.)
(/>) If a sphere whose diameter is 4 feet is submerged in the
water in the cistern, how high will it cause the water to rise ?
8. Add vertically and horizontally the following statement of
eight weeks' cash receipts :
MO.N.
TlTRS.
Wkd.
Tnt'R.
1
Fri.
Sat. 1
Total.
1st ....
$^,m-2. !W
n,'.m 76
!*(j,7(i0 (i8
.*i,m>8 91
ifl.OiK) 6.1
* 43 68
'2n(l ...
;tit(i 74
(i.nw :i7
8()4 .'{9
!>64 2(
l»i7 (19
1,864 86
3rd ....
i,7()8 6:i
4(i7 80
2,o:u, OH
3,10.'} (13
'191 83
78.-. 97
4th ....
3,!)7<S 08
7ti 0.'-.
•.m 7(i
93 (kS
1,948 39
1,7.')9 46
fith ....
•HVA 7(1
l,(Wr. 84
M] 10
38(i 41
3 4r,
1.396 71
6th ....
i,.5r.i) a3
l,!);rj .57
l,2(i8 If)
8 37
279 72
67 85
7th ....
«2 "24
318 (i'J
134 3C.
1,763 29
1,4(>8 29
.543 (K!
8th ....
li)4 87
.3 8.5
7,«43 82
OS.*) 38
765 42
39 67
Total ..
■
June, ISOS.
1. (a) What is meant by a common njultiple of two or more
fractions ?
(6) Find the L. C. M. of 2], 3§, 3^§, 14, |.
2. Express in decimals accurately to seven places :
1 1
1 1_^
5 X 5^ 7 X 5'
3. A boy can run six times around a circular plot of ground in
52 seconds, another })()y can run nine times round the same j)lot in
80 seconds. If they start from the same place at the .same time,
and run in the .same direction, how many refunds will each make
before the faster boy overtakes the slower^
4, A clerk pays ^7.50 taxes on his .salary. What is his total
salary if $400 of it is exempt from taxation and a 2h per cent, rate
is levied on the remainder ?
I
i^UnLIC SCHOOL LKAVtsrj.
8f
5, A iiiilli^r Ixmght 20,«KX) imslicls (»f wln'ut •li.l luul it iiisurod
for ^ of its cost, ut 1 j',^ I'ercent., jtayiii^ u pivinium of .^I.'}(). At
wliat prictt jkt biislu'l nuiHt lie sell it to yuin "JO per eeiit.^
<». For wli.it smii imist a note he drawn on .Inne 1st, IS!»;I. pay-
Jihle in !K> days, so tliat when disi;i>untt^d on ,Iimu' I4tli at .S per cent,
the proceeds will Ih^ 8717.20 >.
7. I own }?*'•, <M>0 of iJank Stock, payin<i an annual dividend of 5
percent. How imuh will my uiinnal revenue from the iJank Stock
be reduced by .selliii'^f enough of it at 'i 1 \^^ pay a note of 8;{7;j5 nine
months before it is due, reckoinng true disc(»unt at 5 per cent. [)or
annum i
8. Charging interest at i\ \wx cent., what sum i- dm; to-d;',y,
(Juni! 2i>th), <>u tlu' following ledgf account :
Dr.
Jan. 12
Feb.
Mar. 8'
April 4
May 12.
1803
Feb. 18 I By Cash
Ai)ril 20
June 24
%
r.
100
(K)
150
00
312
00
9. A S(|uare plot of grtonid that contains ,"„ of an acre is covere<l
with cordwood (4 ft. long) to an average lieight of 12 ft. What is
the wood worth at ^4.12 a cord '.
10. A town lot containing i of an acre is 4 I'ods wide. Find the
total cost of the matei'ial for a picket fence around it ot inch pickets
2" wide and 3' lontr. nlaced 2" anart. two .striuL'ers 2" x 4", and an
inch base 14" wide, the lumber being worth S^lb per M, board
measure ; posts 8 ft. 3 in. from centre to centre at 13 cents each ;
nails $1.15.
H8
tM{0<:UKSSlVK PKORLKMH IN AlUTHMETlC.
51
8(
ai
b«
sa
June, 1894.
1. IloKolve 16335 and 18018 iut(j tlieir prime factors and from
insj)uetion of these write the prime factors of their (a) L.C.M. and
{h) G.C.M.
2. Express in the form ot a vulgar fraction the average of §,
i., -7, -41, and •480^.
3. A man bought a ])ankrupt stock at fiOc. on the $ of the mvoice
price, which was ^4840. lie «(il(l half of it Jit 10 per cent, advance
on invoice jivice, half the rem;'inder at 20 per cent, below invoice
price and the bahince at 50 i)er cent, of invoice i)rice. His expenses
were 10 i)er cent.- <»f his investment. Find his loss or gain (a) in
money and {!>) in rate per cent.
4. A storekeeper on the 1st Marcli, 181)4, bought goods amount-
ing (at catalogue prices) to $840, on which he was allowed succes-
sive discounts of 33.\ per cent, and 5 per cent. The account is pay-
able in 00 days, after which tiuu) interest is to be charge<l at 7 per
cent, per annuiu. On tlie 1st June, 1804, he pt.id $100. Kow
much is due (Ji'the ist July, 1804 f
5. A farmei bought 80acn-s c.n the 1st Dec. 18J> '», for $:i()(H), pay-
aide one-third cash, one-fourth on the 1st of February, 1804, and
the balance on the 1st June, 1804. Find the equated tinu; for the
payment if made in one siun. •
(►. M invested money in 3 per cent, conscdidated stock at 05
and an e<iual sum in factory stock at 100, paying an annual dividend
of 7 [)er cent. From the latter he received ten doll.irs a year
more than from the former. How many tifty-doUar shares of
factory stock did he ])urchase 1
7, A circular cistern is to cimtain 06 '<.s dia and to bo 6 feet
doei) Find the diameter of the excavation allowing for a brick
ft.
lining 5 inches thick. {Note.—i bbl=3l^ gal.; 1 cu.
quarts.)
8. In a granary there are four bins, each 10 ft. long and 5 ft.
wide ; how high must they be boarded in front to be capable of
bidding 800 bushels I («oe note after No. 7.)
9. Fiml the number of cubic feet in a hewn log, 12 inches S(iuare
at one end and 9^ incht.^s square at the other, its length being 27
feet.
n-H and fron)
) L.CM. and
average of §,
of the invoice
;ent. advance
lielow invoice
His expenses
or gain (a) in
;(>(hIs amount-
lowed succes-
ccount is pay-
I'ged at 7 per
,'$10(), How
)r ^{(KK), pay-
ry, J8U4, and
il time for the
d stock at 05
mual dividend
lollars a year
liar shares of
to be 6 feet
ng for :\ brick
cu. ft.=:24||
long and 5 ft.
be capable of
2 inclies square
fngth being 27