AMC美国数学竞赛题（精选）.pdf

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1. COllnie rnllltiplies ,I tllalll,'l" iJV 2 :mJ ;,'l~ tiU as Jwr \\'t:L How('\'('l'. she sllUuld
il,we ilividcd lbc ;:.:.Iillil\' uy 1. 1u ::,,'1 Iii.' ,"iITi'd <Ulswer. \Vliat. i'" the (,)f!'C('(
tlliSwer?
(A) (B) L:, (C) :\0 (D) 120 (E) 240
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.. (1· ! t b l' r'·;\,·"..1 , .' ..... ~ .) J t· <.-..~ .. I,ll. \'."'·,t· ~t,. ,''-\. \),::) t, _'l q;.)} ."~'I.......

Pay-A-Lot had <.t ~U(X-()ij ;-;: the:' roll, :\\'ing dav. How much could ~-,
v ~ v
Khrl have saved au the purchase by \v;litiri::; a cby?
(A) $ (B.) $ (C) $ (D) $ (E) $
:3. 'VVhat is the minirmllll Ili;lllber of sl!,:l!l squares that must be colured black SU
that R. line of synlllictly hl~:-; on the di;l.'~ HI} of sqnare ABCD?
.' .
A B
D c
(A) 1 (B) 2 (C) ;~ (D) 4 (E) 5
4. A square and a triangle] liwe cqllal ! wl'imeters. The lengths of the three sides
of the triangle i'tl'C el\l. cm and IJ.? CIllo 'VVhat is the arca of the sqllarc in
square eClltilY}etl'rs',)
(A) 24 (B) 2:~ ((') ;)() (D) 48 (E) 64
;). Soda is sold in pack" of (i L2 and 2,\ '·illl::;. \Vhat is thc: minimum
number of packs rwcdecl l,) buy exact1\ 90 calis of soda? g
(A) 4 (B) 5 (C) 6 (D) 8 (E) 15
G. Suppose d is a digit. FO