SMO 2012 Open Special Round Participants List
COP for Special Round - 8, about 8.9% (~138/1549 participants) selected
SMO 2012 (Open) Questions
Solutions to some questions can be found in AoPS 2012 SMO (Open) Discussion topic by goran
1. 121
2. 7986
3. 4
4. 3333
5. 62
6. 3015
7. 38
8. 76
9. 4
10. 2015
11. 22
12. 2
13. 86
14. 337
15. 2011
16. 10 (*19)
17. 584
18. 25
19. 1
20. 21
21. 2500
22. 20121
23. 0
24. 2013
25. 1
*Answers updated on 1 Sep 2012, after checking the Solution Book
SMO (Open) Previous Years' Cut-off Points (Inclusive of Round 2 scores)
Update: 2012 Gold (21), Silver (8), Bronze (6), HM (5), Round 2(8)
2011 Gold (18), Silver (9), Bronze (6), HM (5), Round 2 (9)
2010 Gold (38), Silver (9), Bronze (6), HM (5)
2009 Gold (27-29), Silver (9), Bronze (6), HM (5)
2008 Gold (27), Silver (11), Bronze (10), HM (6)
2007 Gold (19-20), Silver (9), Bronze (6), HM (5)
10 comments:
I got 2 for question 3. I thought it was really similar to one of the questions in this year's SMO senior
I only got 5 correct... Should have fill up all those didn't attempt with 0... Then I will get two more correct lol...
Typo... With 1.
Q3:
let P(x)=xf(x)-2,the degree of P(x) is 2013, it has roots x=1,2,...2013.
hence, P(X)=xf(x)-2=a(x-1)(x-2)...(x-2013),letting x=0,a=2/2013!, xf(x)=a(x-1)(x-2)...(x-2013)+2,so 2014f(2014)=2+2=4
Wait... isn't the for question 16 13?
13 - 4 ⌊∛13⌋ = 5...
How many ans should I get to stand a chance for round 2 Open section?
If i got 10, can i get in round 2?
Solutions of questions from SMO 2012 Open
http://www.artofproblemsolving.com/Forum/viewtopic.php?f=150&t=481905&p=2700878#p2700878
Question 3 similar to a last year junior question.
Sorry for the necro, but the answer for question 16 is indeed 10. The solution book itself does imply that the answer is 10, and the "19" is just an erratum.
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