18th AMC What is the smallest possible average of four distinct positive even integers? (A) 3 (B) 4 (C) 5 (D) 6 (E) 7

Size: px

Start display at page:

Download "18th AMC What is the smallest possible average of four distinct positive even integers? (A) 3 (B) 4 (C) 5 (D) 6 (E) 7"

David Logan
6 years ago
Views:

1 18th AMC A circ and tw distinct ins ar drawn n a sht f papr. What is th argst pssib nbr f pints f intrsctin f ths figrs? (A) 2 (B) 3 (C) 4 (D) 5 (E) 6 2. Hw any diffrnt cbinatins f $5 bis and $2 bis can b sd t ak a tta f $17? Ordr ds nt attr in this prb. (A) 2 (B) 3 (C) 4 (D) 5 (E) 6 3. What is th sast pssib avrag f fr distinct psitiv vn intgrs? (A) 3 (B) 4 (C) 5 (D) 6 (E) 7 4. Th yar 2002 is a paindr (a nbr that rads th sa fr ft t right as it ds fr right t ft). What is th prdct f th digits f th nxt yar aftr 2002 that is a paindr? (A) 0 (B) 4 (C) 9 (D) 16 (E) Cars Mntad was brn n Satrday, Nvbr 9, On what day f th wk wi Cars b 706 days d? (A) Mnday (B) Wdnsday (C) Friday (D) Satrday (E) Snday 6. A birdbath is dsignd t vrfw s that it wi b sf-caning. Watr fws in at th rat f 20 iiitrs pr int and drains at th rat f 18 iiitrs pr int. On f ths graphs shws th v f watr in th birdbath dring th fiing ti and cntining int th vrfw ti. Which n is it? Ti Ti Ti Ti Ti A B C D E (A) A (B) B (C) C (D) D (E) E

2 18th AMC Th stdnts in Mrs. Sawyr s cass wr askd t d a tast tst f fiv kinds f candy. Each stdnt chs n kind f candy. A bar graph f thir prfrncs is shwn. What prcnt f hr cass chs candy E? S W E E T T O O T H A B C D E Kinds f candy (A) 5 (B) 12 (C) 15 (D) 16 (E) 20 Nbr f Stdnts 8 Prbs 8,9 and 10 s th data fnd in th accpanying paragraph and tab: Jan s Od Staping Grnds Jan rganizs th staps in his cctin by cntry and by th dcad in which thy wr issd. Th prics h paid fr th at a stap shp wr: Brazi and Franc, 6c ach, Pr 4c ach, and Spain 5c ach. (Brazi and Pr ar Sth Arican cntris and Franc and Spain ar in Erp.) Nbr f Staps by Dcad Cntry 50s 60s 70s 80s Brazi Franc Pr Spain Jan s Stap Cctin 8. Hw any f his Erpan staps wr issd in th 80s? (A) 9 (B) 15 (C) 18 (D) 24 (E) His Sth Arican staps issd bfr th 70s cst hi (A) $0.40 (B) $1.06 (C) $1.80 (D) $2.38 (E) $ Th avrag pric f his 70s staps is csst t (A) 3.5c (B) 4c (C) 4.5c (D) 5c (E) 5.5c

3 18th AMC A sqnc f sqars is ad f idntica sqar tis. Th dg f ach sqar is n ti ngth ngr than th dg f th prvis sqar. Th first thr sqars ar shwn. Hw any r tis ds th svnth sqar rqir than th sixth? (A) 11 (B) 12 (C) 13 (D) 14 (E) A bard ga spinnr is dividd int thr rgins abd A, B and C. Th prbabiity f th arrw stpping n rgin A is 1 3 and n rgin B is 1 2. Th prbabiity f th arrw stpping n rgin C is B A C (A) 1 12 (B) 1 6 (C) 1 5 (D) 1 3 (E) Fr his birthday, Brt gts a bx that hds 125 jybans whn fid t capacity. A fw wks atr, Carri gts a argr bx f f jybans. Hr bx is twic as high, twic as wid and twic as ng as Brt s. Apprxiaty, hw any jybans did Carri gt? (A) 250 (B) 500 (C) 625 (D) 750 (E) A rchant ffrs a arg grp f its at 30% ff. Latr, th rchant taks 20% ff ths sa prics and cais that th fina pric f ths its is 50% ff th rigina pric. Th tta discnt is (A) 35% (B) 44% (C) 50% (D) 56% (E) 60% 15. Which f th fwing pygns has th argst ara? (A) A (B) B (C) C (D) D (E) E

4 18th AMC Right isscs triangs ar cnstrctd n th sids f a right triang, as shwn. A capita ttr rprsnts th ara f ach triang. Which n f th fwing is tr? Z 5 W 4 Y X 3 (A) X + Z = W + Y (B) W + X = Z (C) 3X + 4Y = 5Z (D) X + W = 1 2 (Y + Z) (E) X + Y = Z 17. In a athatics cntst with tn prbs, a stdnt gains 5 pints fr a crrct answr and ss 2 pints fr an incrrct answr. If Oivia answrd vry prb and hr scr was 29, hw any crrct answrs did sh hav? (A) 5 (B) 6 (C) 7 (D) 8 (E) Gag skatd 1 hr 15 in ach day fr 5 days and 1 hr 30 in ach day fr 3 days. Hw ng wd h hav t skat th ninth day in rdr t avrag 85 ints f skating ach day fr th ntir ti? (A) 1 hr (B) 1 hr 10 in (C) 1 hr 20 in (D) 1 hr 40 in (E) 2 hr 19. Hw any wh nbrs btwn 99 and 999 cntain xacty n 0? (A) 72 (B) 90 (C) 144 (D) 162 (E) Th ara f triang XY Z is 8 sqar inchs. Pints A and B ar idpints f cngrnt sgnts XY and XZ. Atitd XC biscts Y Z. Th ara (in sqar inchs) f th shadd rgin is X A B Y C Z (A) (B) 2 (C) (D) 3 (E) 3 1 2

5 18th AMC Hard tsss a nick fr tis. Th prbabiity that h gts at ast as any hads as tais is (A) 5 16 (B) 3 8 (C) 1 2 (D) 5 8 (E) Six cbs, ach an inch n an dg, ar fastnd tgthr, as shwn. Find th tta srfac ara in sqar inchs. Incd th tp, btt and sids. (A) 18 (B) 24 (C) 26 (D) 30 (E) A crnr f a tid fr is shwn. If th ntir fr is tid in this way and ach f th fr crnrs ks ik this n, thn what fractin f th tid fr is ad f darkr tis? (A) 1 3 (B) 4 9 (C) 1 2 (D) 5 9 (E) Miki has a dzn rangs f th sa siz and a dzn pars f th sa siz. Miki ss hr jicr t xtract 8 ncs f par jic fr 3 pars and 8 ncs f rang jic fr 2 rangs. Sh aks a par-rang jic bnd fr an qa nbr f pars and rangs. What prcnt f th bnd is par jic? (A) 30 (B) 40 (C) 50 (D) 60 (E) Lki, M, Nick and Ott ar gd frinds. Ott had n ny, bt th thrs did. M gav Ott n-fifth f his ny, Lki gav Ott n-frth f his ny and Nick gav Ott n-third f his ny. Each gav Ott th sa ant f ny. What fractina part f th grp s ny ds Ott nw hav? (A) 1 10 (B) 1 4 (C) 1 3 (D) 2 5 (E) 1 2

Math 34A. Final Review

Math 34A. Final Review Math A Final Rviw 1) Us th graph of y10 to find approimat valus: a) 50 0. b) y (0.65) solution for part a) first writ an quation: 50 0. now tak th logarithm of both sids: log() log(50 0. ) pand th right