SMO 2012 Junior Special Round Participants List
COP for Special Round - 8, about 4.7% (~185/3959 participants) selected
1. D
2. E
3. B
4. B
5. A
6. D
7. D
8. B
9. D (*C)
10. C
11. 4
12. 25
13. 9
14. 2996
15. 110
16. 93
17. 50
18. 35
19. 58
20. 1818
21. 4
22. 375
23. 3
24. 23
25. 108
26. 468
27. 240
28. 200
29. 3150
30. 6720 (half cut not allowed) / 40320 (half cut allowed) (*840 - does not consider horizontal cut)
31. 27
32. 1
33. 12
34. 1977 (*1976 - answer should be odd number)
35. 12
Answers contributed by: Lim Jeck and Lim Min
*Answers updated on 1 Sep 2012, after checking the Solution Book
SMO (Junior) Previous Years' Cut-off Points (Inclusive of Round 2 scores)
Update: 2012 Gold (17), Silver (8), Bronze (6), HM (5), Round 2(8)
2011 Gold (12), Silver (9), Bronze (7), HM (6), Round 2 (11), Top 30 (~34)
2010 Gold (24), Silver (9), Bronze (8), HM (5)
2009 Gold (11), Silver (7), Bronze (6), HM (5)
2008 Gold (23), Silver (14), Bronze (11), HM (10)
2007 Gold (20), Silver (14), Bronze (11), HM (10)
11 comments:
Why is Q23 4? :(
Can someone explain Q26?
where can i get the questions from for free?
Why is q35 12? Can someone explain
Random Sec 1 student
Shouldn't q24 be 24? Correct me if I'm wrong
I thought (A) is wrong for Q8?
Q8 is (B). Factorize b out of the RHS of the equation and divide both sides by b. From there use some contradictions to solve it.
For question 8, a=b⌊a/b⌋-b{a/b}=b⌊a/b⌋-a+b⌊a/b⌋=2b⌊a/b⌋-a. Hence,a=b⌊a/b⌋. Therefore,(A),(B), (D),(E) is then obviously not the answer...
So, question 8 is (C)!!!
In response to Zheng Han, you are wrong, because by saying that statement C is incorrect, you are implying that if b is a rational number, a is an irrational number, which clearly does'nt make sense.
And the answer IS (B), and here is a counterexample to statement B: a=3, b=3/2.
3=(3/2)⌊3/(3/2)⌋.
Therefore statement B is false
Oh yeah! I damn confused...
Solutions to selection questions from SMO 2012 (Junior).
Q6.
http://www.artofproblemsolving.com/Forum/viewtopic.php?f=150&t=482268
Q11.
http://www.artofproblemsolving.com/Forum/viewtopic.php?f=150&t=481872
Q13.
http://www.artofproblemsolving.com/Forum/viewtopic.php?f=150&t=481874
Q14.
http://www.artofproblemsolving.com/Forum/viewtopic.php?f=150&t=481861
Q15.
http://www.artofproblemsolving.com/Forum/viewtopic.php?f=150&t=481649
Q16.
http://www.artofproblemsolving.com/Forum/viewtopic.php?f=150&t=481645
Q17.
http://www.artofproblemsolving.com/Forum/viewtopic.php?f=150&t=481651
Q18.
http://www.artofproblemsolving.com/Forum/viewtopic.php?f=150&t=481644
Q19.
http://www.artofproblemsolving.com/Forum/viewtopic.php?f=150&t=481653
Q21.
http://www.artofproblemsolving.com/Forum/viewtopic.php?f=150&t=481885
Q23.
http://www.artofproblemsolving.com/Forum/viewtopic.php?f=150&t=482279
Q31.
http://www.artofproblemsolving.com/Forum/viewtopic.php?f=150&t=482277
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