녹원학원 수학과학영재교육 010-3549-5206
SAT AMC8/10/12 영재원대비 KMO 수학과학경시올림피아드 053-765-8233
2019년 11월 3일 일요일
World Mathematics Team Championship(WMTC) 2018 Junior Level 기출문제
9
th
World Mathematics Team Championship 2018
Junior Level
Team
Round
English Version
Instruction:
This round ha
s
1
4
questions (
4
0 minutes
).
Each question is worth 5 points.
No point penalty for submitting wrong answer.
1
.
Find the number of
3
digit numbers without 0
in their decimal representation
with
sum of all digits equals to 2
3
.
2.
In a pile of
9
coins one is a fake.
Suppose
we can
find out whether the fake coin
is among them
i
n a
ny
move
where
w
e pick
four
coins
.
Find the minimum number
of moves that guarantee
find
ing
the fake coin.
3.
The average weight of a group of people is 35.2 kilograms. Albert, who weighs
45.6 kilograms, then joins the group. This raises the average weight of the group
to 36
kilograms. How many children were in the original group?
4.
Points
M
,
N
on the side
AC
and point
P
on the side
BC
of triangle
ABC
are such that
AM = MN = NC
and
BP
=
PC
.
If
S
ABC
= 30 cm
2
,
find
S
MNP
.
Junior Level Team Round
AMC 8/10/12 미국수학경시대회
AIME
SCAT SSAT PSAT GED
SATmath ACT
국제학교영어원서 강의
수학과학올림피아드
수학과학경시대회 성대
KMC
KJMO
KMO
교육청영재원 교대영재원 경대영재원 준비반 모집
상담 환영합니다
053-765-8233
010-3549-5206
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