WMTC Intermediate Level Relay Round 기출문제

 1A R1-A Three dice are rolled. The probability that the sum of their points is 14 is written in the form p/q where p and q are relatively prime, find p + q.

 1B R1-B T = TNYWR (The Number You Will Receive). In an acute triangle ABC with ACB T  point M is the midpoint of AB. If P and Q are points on BC and AC respectively such that AP BC  and BQ AC  find PMQ . Intermediate Level Relay Round 2A R2-A Find the greatest value of a b c c a b c       , where a, b, c are the numbers 2012, 2013 and 2014 in some order.

2B R2-B T = TNYWR (The Number You Will Receive). Two points A and B stay at diametrically opposite points on a circle of center O. They start moving in opposite directions (A clockwise, B anti-clockwise). Point B moves twice faster than A. They meet for T-th time at some point C. Find the AOC in degrees.

 3A R3-A Let x       3 4 12 3 4 12 . Find 5x 2 .

3B R3-B T = TNYWR (The Number You Will Receive). In a group of T students some pairs of students exchange presents. It is known that there are no three students A, B and C such that A and B exchange presents; B and C exchange presents; A and C exchange presents. Find the maximum number of presents given.
 3A R3-A Let x       3 4 12 3 4 12 . Find 5x 2 . Intermediate Level Relay Round 3B R3-B T = TNYWR (The Number You Will Receive). In a group of T students some pairs of students exchange presents. It is known that there are no three students A, B and C such that A and B exchange presents; B and C exchange presents; A and C exchange presents. Find the maximum number of presents given

R1-A Three dice are rolled. The probability that the sum of their points is 14 is written in the form p/ q where p and q are relatively prime, find p + q.

 1B R1-B T = TNYWR (The Number You Will Receive). In an acute triangle ABC with ACB T  point M is the midpoint of AB. If P and Q are points on BC and AC respectively such that AP BC  and BQ AC  find PMQ .

  2A R2-A Find the greatest value of a b c c a b c       , where a, b, c are the numbers 2012, 2013 and 2014 in some order.


  2B R2-B T = TNYWR (The Number You Will Receive). Two points A and B stay at diametrically opposite points on a circle of center O. They start moving in opposite directions (A clockwise, B anti-clockwise). Point B moves twice faster than A. They meet for T-th time at some point C. Find the AOC in degrees.

  3A R3-A Let x       3 4 12 3 4 12 . Find 5x 2 . 



 3B R3-B T = TNYWR (The Number You Will Receive). In a group of T students some pairs of students exchange presents. It is known that there are no three students A, B and C such that A and B exchange presents; B and C exchange presents; A and C exchange presents. Find the maximum number of presents given.

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