Wednesday, 30 May 2012

SMO 2012 (Open Section) Answers

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)

9 comments:

Anonymous said...

I got 2 for question 3. I thought it was really similar to one of the questions in this year's SMO senior

Anonymous said...

I only got 5 correct... Should have fill up all those didn't attempt with 0... Then I will get two more correct lol...

Anonymous said...

Typo... With 1.

wdmsg said...

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

Lee Zheng Han said...

Wait... isn't the for question 16 13?
13 - 4 ⌊∛13⌋ = 5...

Anonymous said...

How many ans should I get to stand a chance for round 2 Open section?

Anonymous said...

If i got 10, can i get in round 2?

Goran said...

Solutions of questions from SMO 2012 Open
http://www.artofproblemsolving.com/Forum/viewtopic.php?f=150&t=481905&p=2700878#p2700878

Unknown said...

Question 3 similar to a last year junior question.