녹원학원 수학과학영재교육 010-3549-5206
SAT AMC8/10/12 영재원대비 KMO 수학과학경시올림피아드 053-765-8233
2019년 11월 1일 금요일
2018 WMTC 기출문제 Junior
9
th
World Mathematics Team Championship 2018
Junior Level Individual Round
2
English Version
Instruction:
This round ha
s
8
questions (
40
minutes
).
Q
uestion
number
s
1, 2, 3, 4, 5 and 6
are
worth 4 points
each
.
Q
uestion
number
s
7 and 8
are
worth
8
points
each
.
No point penalty for submitting
wrong answers.
1
.
Car with 4 wheels and 1 spare tire travelled for 1000 kilometers.
Each of two of
the tires has been used for 500 kilometers.
The o
ther three
tires have been used
equal number of
kilometers.
Find this number.
2.
For how many positive integer values of
a
the
12
numbers
a
,
1,
2
1
,
2
2
,
...,
2
10
can be split into two sets of equal sums
?
3
.
Six
integers
x
,
x
+ 1,
x
+ 2,
x
+ 3,
x
+ 4 and
x
+ 5 are such that the sum of any two
of them equals to one of the remaining
numbers or can be expressed as a sum of
two or three from the remaining numbers. How many such
x
exist?
4
.
Find the number of three digit numbers such that the difference between
any
two neighboring digits is not 1
.
Junior Level Individual Round 2
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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