soal olimpiade matematika smp alizzah fix
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8/20/2019 Soal Olimpiade Matematika Smp Alizzah Fix
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SOAL OLIMPIADE MATEMATIKA SMP MATERI KAIDAH PENCACAHAN, PELUANG
KEJADIAN, DAN PENERAPAN MATEMATIKA DALAM KEHIDUPAN SEHARI-HARI
1. Evan memberi an!a "a!a #embi$an b%a& 'ar% !en(an an('a 1, ), *, +, !an .
Seara aa' ia men(ambi$ + b%a& 'ar% !ari %m"%'an 'ar% er#eb% #e&in((a
memben%' #eb%a& bi$an(an /an( er!iri !ari + an('a. 0era"a "e$%an( ba&a bi$an(an
er#eb% $ebi& !ari )222 !an &abi# !iba(i 3
). Sembi$an "a#an( #%ami i#ri men(i'%i #%a% "e#a. Mere'a 'em%!ian #a$in( ber4aba
an(an #a% #ama $ain. Nam%n !emi'ian, #eia" "a#an( #%ami i#ri i!a' "erna&
ber4abaan an(an, ma'a ban/a'n/a 4abaan an(an /an( er4a!i a!a$a& 5.
*. 0a"a' !an ib% Sam#%$ #e!an( merenana'an nama ba(i ana' mere'a /an( a'an
#e(era $a&ir !en(an nama /an( er!iri !ari * 'aa !en(an nama be$a'an( Sam#%$.
Mere'a men(in(in'an ini#ia$6#in('aan nama ana' er#eb% a!a$a& er%r% men%r%ab4a! !en(an a' a!a &%r%7 /an( ber%$an(, #eba(ai 8n8& GTS, ea"i mere'a i!a'
ma% TGS. 0an/a' "i$i&an ini#ia$ nama /an( !a"a !i(%na'an a!a$a& 5. A. )*0. 1)*C. 1*D. 19*E. )1*
+. Ter#e!ia enam (ambar /an( berbe!a a'an !i"i$i& em"a (ambar /an( a'an !i"a#an(
memben%' bari#an meman4an(. 0an/a'n/a ara /an( !a"a !i$a'%'an 4i'a #eb%a&
(ambar /an( er"i$i& &ar%# #e$a$% !i"a#an( !i %4%n( a!a$a& 5. A. 1)20. 12C. 192D. )22E. )+2
. Di !a$am '8a' er!a"a 1) b8$a i!eni' :berben%' #ama;, + berarna &iam, berarna
"%i& !an * berarna &i4a%. Ji'a !iambi$ !%a b8$a #eara aa', ma'a "e$%an( /an(
erambi$ b8$a berarna #ama a!a$a& 5.
A.46
132
0.19
66
C.12
132
D.10
66
E.
6
132
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. S%a% e# maemai'a er!iri !ari #8a$ "i$i&an (an!a !en(an $ima "i$i&an !an &an/a a!a
#a% "i$i&an /an( benar. Ji'a Ta%7i' men4aab #8a$ #eara mener'a :#eara aa' aa%
a#a$-a#a$an;, ma'a "e$%an( e"a #a% #8a$ !i4aab !en(an benar a!a$a& 5.
A.32725
0.64
625
C.64
725
D.128
625
E.256
625
<. Da$am #eb%a& 'ar%n( er!a"a *2 'a8# bern8m8r 1, ), *, 5, 1. A!a ) 'a8# %n%'
#eia" n8m8r :n8m8r 1 a!a ) 'a8#, n8m8r ) a!a ) 'a8#, !an #eer%#n/a;. Ji'a !iambi$ )
'a8# #eara aa', ma'a "e$%an( /an( erambi$ a!a$a& 'a8# /an( bern8m8r #ama
a!a$a& 5.
A.2
29
0.215
C.1
29
D.1
30
E.2
30
9. Seb%a& 'an8n( beri#i 12 b8$a mera&, 9 b8$a bir%, !an ) b8$a &i4a%. Diambi$ #eb%a& b8$a
#eara aa' #eban/a' ) 'a$i an"a "en(emba$ian. Pe$%an( b8$a /an( erambi$ bir% "a!a
"en(ambi$an "erama !an mera& "a!a "en(ambi$an 'e!%a a!a$a& 5.
A.8
20
0.10
20
C.
1
19
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D.4
19
E.8
19
=. Di !a$am #%a% 'eran4an( er!a"a 12 4er%', i(a !i anaran/a !i'ea&%i b%#%'. Ji'a
!iambi$ * 4er%' #eara aa' :ran!8m;, ma'a "e$%an( e"a #a% !i anaran/a b%#%'
a!a$a& 5.
A.3
10
0.5
10
C.
4
40
D.11
40
E.21
40
12. D%a be$a# #i#a a'an !iba(i men4a!i i(a 'e$8m"8', /a'ni 'e$8m"8' A, 0, !an C
ber%r%-%r% #eban/a' i(a, em"a !an $ima 8ran(. 0an/a' ara /an( m%n('in %n%'men(e$8m"8''an 'e!%abe$a# #i#a er#eb% a!a$a& 5. A. ))20. 2+2C. 11)2D. )<<)2
11. Gaba& &a#i$ "anen #aa& mem"%n/ai 'a!ar air )2>. See$a& !i4em%r 'a!ar airn/a
men/%#% #eban/a' <>. Ka!ar air (aba& er#eb% #aa ini a!a$a& 5. A. ),>0. >C. 12>
D. 1>E. )>
1). Mar?%e@ men(en!arai m88r !en(an $a4% 2 'm64am. Ti(a 4am beri'%n/a R8##i
men(en!arai m88r !en(an $a4% 92 'm64am beran('a !ari em"a !an men%4% ara& /an(
#ama. See$a& bera"a 4am R8##i men/%#%$ Mar?%e@3 A. ) 4am0. * 4amC. + 4amD. 4amE. 4am
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1*. Har(a #eb%a& "ermen %r%n !ari R"22,22 men4a!i R"+2,22. Den(an %an(
R"=.222,22, bera"a b%a& "ermen $ebi& ban/a' /an( !a"a !ibe$i3 A. +0. 9C. )2
D. )E.
1+. P8m"a air mere' A #an((%" mem8m"a #eban/a' )2 $ier #eia" meni. P8m"a mere' 0
#an((%" mem8m"a air 22 #eia" !ei', #e!an('an mere' C #an((%" mem8m"a 1,+
m* #eia" 4am. P8m"a mana'a& /an( "a$in( e"a men(i#i #eb%a& an('i air
ber'a"a#ia# 922 $ier.
1. Se8ran( "e!a(an( membe$i )2 '( min/a' (8ren( 4eni# A #e&ar(a R"1).222,22 #eia"
'( !an 12 '( min/a' (8ren( 4eni# 0 #e&ar(a R"12.222,22 #eia" '(. Ke!%a 4eni#
min/a' (8ren( er#eb% !iam"%r. A(ar men!a"a %n%n( > #eia" '( min/a' (8ren(
er#eb% !i4%a$ #e&ar(a R" 5. A. 12.+22,220. 11.*22,22C. 11.+22,22D. 11.<22,22E. 11.=22,22