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2525 Howmany3m - dw3nyi gntnmny3 ubHow many 3-digit numbers have the hundreds digit equal to 7 and the units digit equal to \b? (A) 10 (B) 100 (C) 20(D) 19 (E) 90 eb IfH= 7 and o= H4, then H HH3o H= (A) 49 (B) 4\b(C) 0(D) 97 (E) 1 rb In each of these squares, the marked length is 1 unit. Which of the squares would have the greatest perimeter? P. 1 Q. 1 R. 1 S. 1 (A) P (B) Q (C) R (D) S (E) all are the same sb Given that wis an integer and 7w +6o200, then wmust b e (A) even (B) odd(C) 2\b or more (D) either 27 or 2\b (E) 27 or less hb King Arthur’s round table has a radius of three metres. The area of the table top in square metres is closest to which of the following? (A) 20 (B) 30(C) 40 (D) 50 (E) 60 vb In the diagram, the value of mis (A) 120 (B) 10\b(C) 105 (D) 135 (E) 112a5 mH mH mH mH Howm any 3 -digtu bedrsgtir Ho 2016 AMC – Senior Questions

26 HoHow man y3 y- mnod H-o odia3gnit yu a 3-naybe- ryuis hvq l7 h\bq l? h(q A7 ) 1 H l h0q ? ) 1 H l hBq AC 2 D 2 2 9 9 D H o wo Eei 3org-you -o -ei iIga-you H wH)A f w) l y3 hvq wf HH o h\bq wf o w m h(q wf o w H h0q wf D hBq uo ugd=inw3a-y34i3 -ei iIga-you mo v ranbi -na, yu -ei =acin,k3 ty3.ra, Wa3i ea3 au iIgar ugd=in om -enii -,.i3 om Wnoy33au-3p .rayuP WeoWora-i aut Weii3iQ Rond ng3ei3 yu-o -ei =acin, aut =g,3 -wo Wnoy33au-3 a- nautod wy-eog- roocyubQ Eei .no=a=yry-, -ea- Rond toi3 uo- eaSi a WeoWora-i Wnoy33au- y3 Wro3i3- -o hvq a w h\bq m n h(q a H h0q H w hBq a Ho anoGeyWe om -ei3i i+.ni33you3 y3 arwa,3 a dgr-y.ri om DP weiuiSin my3 a weori ugd=ins hvq m o h\bqm o)lm h(q Dm o) A h0q m o)Dm H hBq m H)l aao Eei Sargi om l Hwma ol Hwmn y3 hvq l h\bq l HowmHowa h(q l Hwmn h0q ol Hwma hBq 7 ayo 6acraut3 aut \bnybe-ou ani -wo =g3, -nayu 3-a-you3 ou -ei 3adi -nayu ryuiQ 6u oui .an-yWgran ta,p w 6uiK4m-e om -ei -nayu3 to uo- 3-o. a- 6acraut3Q w 29 -nayu3 to uo- 3-o. a- \bnybe-ouQ w C7 -nayu3 3-o. a- =o-e \bnybe-ou aut 6acraut3Q w C7 -nayu3 3-o. a- our, \bnybe-ou on 6acraut3 huo- =o-eqQ How dau, -nayu3 to uo- 3-o. a- iy-ein om -ei3i 3-a-you3 ou -ea- ta,s hvq C7 h\bq l7h(q 29 h0q 9hBq 27 Ho Howm any 3 -digtu bedrsgtir 2016 AMC – Senior Questions

2727 HowHowmany3 -dy 3yiaow gotwnyn gu -dy be3egore Hsh Ho H ewn -dy oveqaml 7o\b ?ewu boaw-m \ba-d aw-yiy3 (oo3nawe-ym ray \ba-daw -de- 3yiaowA gt- wo- ow -dy gotwne3u) 10B CC 12B CD1HB C9 1EB CI 1fB C= o H Hmw 0 3y(-ewitre3 mdyy- o4 beby3 w mandem \ban-d wm -\ba(y -dy dyaid- mal ,dy beby3 am 4ornyn erowi e rawy wy mt(d -de- mraym ow -ob o4 m HA e boaw- owanl 0wiry nw yam 10B =D o 12B 9I o 1HB hc o 1EB h=3 I o 1fB =I o n a y w mH m Haw ,yw m-tnyw-m ma- e -ym- (owmam-awi o4 Dc ktym-aowml ,\bo m-tnyw-m iy- . ktym-aowm (o33y(- ewn owy m-tnyw- iy-m W ktym-aowm (o33y(-l ,dy 3y?eawawi mypyw m-tnyw-m err iy- e- ryem- Cc ktym-aowm (o33y(- ewn -dy epy3eiy wt?gy3 o4 ktym-aowm ewm\by3yn (o33y(-ru gu -dymy mypyw m-tnyw-m am ew aw-yiy3l P4 -dy epy3eiy wt?gy3 o4 ktym-aowm ewm\by3yn (o33y(-ru gu err -yw m-tnyw-m am ermo ew aw-yiy3A -dyw -de- aw-yiy3 am 10B Cc 12B CC1HB CD 1EB CQ 1fB C9 Hnw Pw -dy naei3e?A masm- s 9 (? ewn w ma ewn mn - e3y go-d amom(yrym 3aid-vewiryn -3av ewiryml Pw mkte3y (yw-a?y-3ymA \bde- am -dy e3ye o4 -dy kten3are-y3er may -) 10B Ch1 o D H CB 1HB Ch o D H Cc 12B 9 o D 1EB .1 o D H CB 1fB . Ho D a w m n - y HywRde- am -dy m?errym- boma-apy aw-yiy3 o4o3 \bda(d -dy mt? oSD oSQ oS9 oS www S Ccco am e by34y(- mkte3y) 10B DcD 12B IcIc 1HB CcCc 1EB Ccc 1fB CcC Howm any 3 -digtu bedrsgtir Ho 2016 AMC – Senior Questions

28 HowHow maownmy3- di-ma gi-a dtuobod em-- ro so-noa aiew 3wa boy3dn mwni 3 whsrob iv ds3--ob maownmy3- dtuobod euido am3sonob md ql7 iv nuo ibmgmw3- iwod\b ?gwibmwg 3w( oAyodd gi-a eumyu s3( ro -ovn i)ob1 uie s3w( ds3--ob dtuobod em-- ro s3ao0 BC2 D9 BE2 9lBI2 qBf2 D= B42 D, Hmw C bogh-3b aoy3giw u3d Dl dmaod iv -owgnu D\b cihb )obnmyod 3bo yuidow ni s3ko 3 yiw)oA .h3abm-3nob3- nu3n u3d 3-- dmao -owgnud gbo3nob nu3w D\b Wie s3w( wiwpyiwgbhown .h3abm-3nob3-d y3w ro vibsoa numd e3(0 BC2 9 BE2 PBI2 Q Bf2 = B42 R anw Huo mwybo3dmwg do.howyo iv tidmnm)o mwnogobd DH 9HQ Hooo u3d nuo tbitobn( nu3n o3yu nobs vbis nuo numba iwe3bad md nuo woAn tidmnm)o mwnogob eumyu md win o.h3- ni nuo dhs iv 3w( nei tbo)mihd nobsd iv nuo do.howyo\b Wie s3w( nobsd iv nuo do.howyo 3bo -odd nu3w 9lDR0 BC2 Dllq BE2 RPBI2 DD Bf2 D= B42 RSP aHw C -mwo md ab3ew vbis o3yu yibwob iv 3 -3bgo d.h3bo ni nuo timwn iv nbmdoynmiw iv nuo ittidmno dmao1 3d mw nuo am3gb3s\b ?v nuo du3aoa d.h3bo u3d 3bo3 D1 eu3n md nuo 3bo3 iv nuo -3bgo d.h3bo0 BC2 DR BE2 D=BI2 DQ Bf2 DP B42 D9 aaw Gu3n md nuo dhs iv 3-- tidmnm)o mwnogobd wdhyu nu3n w H+w+ PQ md 3 tobvoyn d.h3bo0 BC2 =l BE2 DRBI2 QP Bf2 PQ B42 Q, ayw Gu3n md nuo b3amhd iv nuo -3bgodn dtuobo nu3n em-- 6n mwdmao 3 ui--ie d.h3bo t(b3sma1 3-- iv euido oagod 3bo iv -owgnu 90 BC2H 9 o D BE2 Ho H H H BI2 Ho o H H H Bf2 Hw w B42 HH m Ho Howm any 3 -digtu bedrsgtir 2016 AMC – Senior Questions

2929 HowHow many3y-o yw3odoin gio tiy33ow aw ugibn gwb 3eo ugibn gio mrguob giaswb g uyiuroh vq g wsl7oi yn diog3oi 3egw 3eo g-oigdo aq y3n 3ta woyde7asin\b 3eo ugib yn uarasiob dioowh ?eg3 yn 3eo rgidon3 wsl7oi aq dioow ugibn 3eoio ugw 7o yw 3eo uyiuro( A)1 0 AB1 CA21 D A91 E AI1 f Hmw ?eg3 yn 3eo rogn3 -grso aq H HH= A4 HH1 H=H A4 HH1 H=A4=H1 H ( A)1 , AB1 oHo o wm H A21 o C A91 c AI1 4 = o , Haw ) eyde nueaar lgiueywd 7gwb ugw 7o giigwdob yw g iou3gwdsrgi qailg3yaw ty3e okgu3r. 3eioo 7a.n yw ogue iat gwb okgu3r. W-o dyirn yw ogue uarslwh Heoio gio no-oigr nypon aq lgiueywd 7gwb qai teyue 3eyn yn manny7roh ?eg3 yn 3eo nsl aq grr nsue manny7ro nypon( Hnw Po3ow mw aw n\b gwb y7o yw3odoin nsue 3eg3 n3ygwb boWwo 3eo Qsgbig3yu qswu3yaw - AH1R oH H=mH =ateoio Hyn iogrh Heow -AH1 egn g digme 3eg3 uaw3gywn 3eo mayw3n A nw c1 gwb A yw,c4D H1h Sat lgw. -grson aq yH n gio manny7ro( Hyw vqogwb mgio tearo wsl7oin qial 4 3a 4cc\b eat lgw. mgyin aq wsl7oin Aow m1 gio 3eoio teyue ng3ynq. o HHRo oH( H3w )iaswb g uyiuro\b v mrguo D0 oQsgrr. nmguob mayw3n\b na 3eg3 3eoio gio D0wDG m, R ,c4D manny7ro ueaibn 7o3toow 3eono mayw3nh v bigt nalo aq 3eono ueaibn\b 7s3 ogue ueaib ugwwa3 us3 guiann laio 3egw awo a3eoi ueaibh ?eg3 yn 3eo lgkylsl wsl7oi aq ueaibn v ugw bigt( -dw ) qswu3yaw -boWwob aw 3eo no3 aq many3y-o yw3odoin egn 3eo miamoi3yon 3eg3\b qai gw. many3y-o yw3odoi y\b-A- Ay11 R ,y gwb-A0 y= 41 R 0y = G h ?eg3 gio 3eo rgn3 3eioo bydy3n aq -A,c4D1( Howm any 3 -digtu bedrsgtir Ho 2016 AMC – Senior Questions