ACT Past Papers with Answers

1 ()7,795.000 1{),669,180,00() 3? Gil'en (hai ihL LLIU41tion 'alue c)f 14 irue. wh.al 1.4 ihc 17 17 ACT.0 21 GO ON TO THE NEXT PAGE.

Hoiv iiiany iiiiiiiilL',I would li lake a car lo iravel l ?0 milL.¥ Jl a con%lanl.%peed of 50 Tnile.% per hour,? (Nolc: There arc 61) minul4s in I hour.) .1. 100

5 inclic.%. No folder is %plii bel￿'een ? drawer.s. All bul nne draiver ii'ill liold ihe maximum number or foldcr5. Whai i.s Ihe Lombined ihicKne8.4, in inches, 1)f Ilie foldcrs that arc in ihe pariially filleil drawer?

Wh41t i 10 103 109

or the 450 park'ing? spacL.% in a parKinL lot, 8f/o of the 4paLes ar¥ re%erved for handicapped parking. or thc)se parkin& . pncc% NOT re%ervLd for hdndic:Ipped park'ing. 18 are suitablL for compaLt Liifv* only. Homi miiny 4p:IcL'.% thai are NOT re%erved t.or hiindiLappcd Piirking ,Irc %uii'iblL* ti)r nonLompaci carh. IJ. 414 DO YOUR FIGURING HERE.

inLredse the .4lope 'dnd deLrLa4e the i'.inierLLPI. u.%L eiihLr a lic)rii()nial (jr veriiLul line.

What 15 the leasl common denominatc)r of the fraction. and 56 168 ?52 67? ?.016

The relationship belween the .£um of the mea.sure.% ot. the interior angles of a polygyon. S. and ihe number or .sides ot. Lhe polygon. ii. is given by the equaiic)n 5= 180(11 ?). The .4um of the inierior angle mea.4ure. ol" J ceriain polygon 14 1.440.. How many %ide.s doL.% Ihi.s polygon hilve.. ACT.B)I 16 GO ON TO THE NEXT PAGE.

Iii Ilie fibur¥ shi)wii beloiv, CGXAE, and rcL'IuiiLle IIBCD il lengili of 6 inchc,%'dnd.a ividih or 4 inLhL%. Tlie arL'a ol reLlJniT .le EFGD 1.% ? linies thL iirLa of rccidnglc ,IIICD. WliJi is il)L leng?Ili, iii inclios, i)r DO YOUR FIGURING HERE.

PoiniA is lociiled (il (.3,8) in ihe ,si'and.Jrd (I,I') Loordinaie plane. Whai 'arL' IIIL C()OTJinule.% c)r A,, the imabTe of A drier it 1.% rclleLled iicro.%.s the ) axi.%'. lfi. Wl)dl is ihc suni ol- IhL -%oluiii)n.% of Ihe equdiion -54

Source question 16. Refer to the source image.

ThL' areu (If a ceriain .squafL 14 Ifi ,%quare iliLhL,S. IVh&il 14 ilie pLri nieler of ih iy .4qU&ifL. in IIiLIIc.8'. 11. fj Ci 1711 ACf-W4 17 GO ON TO THE NEXT PAGE.

Source question 18. Refer to the source image.

What 1.5 3fk of 5,1.I x l(). ? DO YOUR FIGURING HERE.

Source question 20. Refer to the source image.

Mr. Evan.$ i.s goingy to buy new mark'ers tor hi.s student.s 10 use for a projeci. He will buy li paLk"s of markerg dnd each PaLk will cont*iin 40 marK-er%. He will distribute the marker.s ihal edch of his ?4 students will have thc .%ame number of murk'er.4 with none left over. Which of the following integers could NOT be Ihe value of li .1

Jayla ploLled il)e data from Iier scienLe project us sLuttcrpl()l in ilie .4iand&ird (.i",I') Loordinalc plane. Slie lound IIIL linL Loniaining ? of ihe poini.g ILi be I, U.?8.1 + 6. Thc .¥LJtlLrplot and ihe line are ,%hown below. DO YOUR FIGURING HERE. i(1 1,= 0.?8.y + 6 6 7 8 9 10.r JJyla deLidLd Ihai il)i% line iva.% nol J &yo(Id fit r()r hcr dalil. To tr4in4fc)Ini her linc into Ilie rcgprcs%i()n linc f()r hL r d41lkl. Jay lil 11111,51: inLreu%e boili ihL' s1()pL und Ihe i'_interLept.

Tlie prohability iliat Eicni A ￿.111 occur 1% l).? The probdbiliiy that Evcni B ivill QLcur 1.% 0.6. GiYLn thJi Ei'Lnts A und B arL' muiuiilly exc1￿￿11,L', whut i.s the prob&ibility iljai EvLnt A (Jr Ei'L'ni B ivill occur,. ,1. (1.4

Source question 25. Refer to the source image.

What is the rnedi￿n of Ihc &yiven length%. in minutes, of- Ihe l U Hiichcock filnis relea4ed before 197? '?

Hcctor owns &ill I I film.% listed. He will randomly select l of them to view ihis weekend. Whul is the probabiliiy Ihai lie will Lhoose a lilm thai has only I word in it% title, &triven thal the filni hL Lhoo%e.Tri will have &1 release d&ite at.ter 1965 41

Recently, u director niade a new ver.%ion of Verli.&Pfl. The new versian is ?O¢/o 4hor(Lir in lengrih ihan HiiLhLOLk'.% version. Which ot. IhL' I'ollowing valuLS 14 Lln.sc%t lo the length, in minule%, of the neil, ver%ic)n'. 64 108 ACT 804 20 GO ON TO THE NEXT PAGE.

Ai a HiichcoLk film festival, Lclci WdlLhLd Tcpi?ci= and Freii-i. once eiich and Faiiiil), Plnr twiLe. I'nr a iolal of 501 niinuics. Fdiiiili. Plc)l is 5 minute.s longLr ihan Fi'L'ii=i'. Whal 14 ihc 4uin ()r ihe lengths. in minutes, ol. Freii=i' and Fciiiiili. Pj(Ji 11 DO YOUR FIGURING HERE. 786

Source question 30. Refer to the source image.

In ?OUI, (he U.S. Mint in PhilJdelphia proLluLed 10,-334,590,()110 l-ceni piece.s, Lommonly called pennieFb. The%e pennie% were then bJgg?ed. with S50 in pennies per biig. Thi.% proce%% re.4ulied in Iiow many b41gis of penniL.s'. ?,U66,918

Source question 32. Refer to the source image.

Source question 34. Refer to the source image.

Source question 35. Refer to the source image.

Which ot. Ihe t"ullowing number% ha% the greutest 15 15 99t) GO ON TO THE NEXT PAGE.

Lei f(.r) -.1- + 2 and ,g(.r) .r + l. F()r all valuc.s of .r, which of ihe following expression.% gi%'L'sf IA'(.i)) -¥ + l.i-+?1+6

In LIABC bLlow, the meti.sure of ZABD is 7()° Ihe mea%ure of £ACB is 3?. D 1.% on BC. and AD is biseclor of ZBAC. Wli4111.s Ihe meusure of ZADB 'P 390 64° 78 70=

Source question 40. Refer to the source image.

iiiLhLs. Wliiil ].% ihL len&7ih, In inchL.i. nf ihL oiher Ic&T ol- IIIL irian&?lL'. .1. 64 )() ACT. 15 GO ON TO THE NEXT PAGE.

Source question 42. Refer to the source image.

Source question 43. Refer to the source image.

For dll real value.% nf.r %ULh ihat O <_r < which or thc following expressions ig NOT equivalent lo t&in .I cul.r LO.4.f (LOI .r)(CliL .r)

A %hirt ha.% J sale priLe of S.10.40, Ivhich is 20Yr. Otf ihe nri&7in411 price. Ho￿, muLh le.%% than the ori&7indl price is thc sale pricc'l . Sl(1.40 ACT404 24 GO ON TO THE NEXT PAGE.

1 he Lli)ck .slii)wn beloiv li'a.% a minulc Iiaiid ilial 1,8 4 incl)i.s Ic)n&, und Ihe center of ilie cloLk fiice ],% 10 inLIILS 41bc)IL ilie bolli)m.iurfuce of ihe clock. DO YOUR FIGURING HERE. Lei .1 bL ihe liiiie in minute.s dfter ihe LlnLk .siriKes

How many ed&ie.¥ dL)e.% Ihc 4P¢LiiilLy die have?

What 1% the urea, in %qudre cenlimeters, or I raLC of LhL %pecialiy die, given ihai thc lengyth of each ol. il% cdbve4 is ? L'eniimeler%4P ?(3 ACT-804 26 GO ON TO THE NEXT PAG

Source question 50. Refer to the source image.

ThLrc arL l .secti()n,4 of Al&Febra l iaug•hi at ihe local hi,.h .SLliool. Thc 'awcrJge score on IhL final exam for Ihe ?0 giuLlen(.4 in Ihe fir.sl ,4eclion wa.4 74. The aN'crage Liire 011 Ihe final exdni for IhL ?5 siudenis in Ihe SLLond .%LLtion Wd.s 9? Whai was (he ￿verage of ihe rinal exum sc(Ire,4 uf siudent% in Algebra I .1

A club .71) mL'mber%. ThL po4ition4 of pre%idLlII, vice president. and tredsurL'r w'ill be a.4si&vned io 3 distinLI inLmbL'rs. WhiLh c)1" the follciii Inii cxpre.s%ion ill'e% the maximum numbl'r ol di.%iillci il%.%i&7iini¢nts th£lt Lan i)c madc.. DO YOUR FIGURING HERE. 301 ?1))1 ?141

Jane and Mar&Tarel mUVL'd io NeivLiiy at ihe %aniL timL .sLveral yLdrts a&?v and have lived IhLfL Lver .%incL.. Jai)L has lii'ed thL'rL ()f her life, while Margarei hds liveLI ot. hLr lilL. I I. j represen[% J41ne % pre.4enl agye. whiLh ot" IhL fi)llo￿ ing exprLs.sion.s rLprL.senL. MdrLT*arei'% prL4ent agtrL'. 3j there 5j 5>. When 7 15 multiplied oul, whut is Ihe digyit in ihe lie4 plaLe'.

Source question 55. Refer to the source image.

Shown bel()Iv 14 quadrilaieral ABCD inscribed in an ellipse. The figure will bL plaLed in the .%tandard { r,I') Lo(IrLlinaic plane. and (hL ellipsc will bL desLribLJ by IIIL. equalion 16 Given (hat AC 1.% ilie minor ilXi4 and BD 1% the major axi,% of ihe ellip.%e, Ivhai ￿111] be ihe Loi)rdinJie4 of poini.s A and B 'P poini A point B {0.16) (o,?11 H, (-3.0) (i), ACT B04 28 GO ON TO THE NEXT PAGE.

TIILr¢ arL 9U Lqually %paccd doi.% mJrkL'd ()n d cirLIL. Sliannun cliuo.se% ¢in intcger. ii. Bcoinning ul rJnd()mly Lho.scn dol, Sliannon g()e.4 uround the cirLIL Llockivise and Liilor% in every iiih dol. Hc Loniinue. goin&1 ar(iund and arouiid ilie circle colorin&v in ei'cry Iiih dc)I, L()uniin&? cdcli doi Th l)cther it i_s colcired in or n()i. until IiL hil.% LC)InrLd in eiery doi. Wl)ich of Ihe lo11()￿lIng Lould haK'L bLJen Shannon'.s inlcger li DO YOUR FIGURING HERE.

TherL ¢irc l 00 file li)Idcrs, caL'h 0.45 incl)es thick, Ihal will be pldLed in drawcr.%. Each drawcr can hold file roldL?rs With a coinbined ihickne.sg of no moiL ihan

Wl)iLh of ilic loll()Ivin&? LxprL.55ions is equivdlent lo ihe -r-+l.Y- 1% l.r+l? l){i"+ llli +?) (.r- l)(1.+.3)1.i. + fi) (.r-.l)-(.i + fil 9_r+ 3() (.I-_IXi + l)li +Cil

14or ul I pc)siiii'e .r lind I,. .1, I C&in bc wriiien in whiLh (If Ihc fi)Iluii'ingi radiLJI lorm4'Y END OF TEST 2 STOP! DO NOT TURN THE PAGE UNTIL TOLD TO DO SO. DO NOT RETURN TO THE PREVIOUS TEST. 29