Wednesday, 1 June 2016

SMO 2016 (Open Section) Answers

SMO 2016 Open Round 2 List

Cut off for Rd 2 ~13

SMO 2016 Open Questions

SMO 2016 (Open Section) Answers

1. 48
2. 6
3. 1007
4. 2145
5. 11
6. 1017
7. 9
8. 2018
9. 4032
10. 10
11. 4
12. 2
13. 946
14. 2017
15. 147
16. 4030
17. 71
18. 625
19. 48
20. 5
21. 48
22. 625
23. 100
24. 12
25. 25

For previous years' cut off points to special round, please refer to an old blog post here.
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44 comments:

  1. Anonymous1 June 2016 at 13:29

    is the answer for 6 1017?

    ReplyDelete
  2. Anonymous1 June 2016 at 13:32

    shouldnt the answer for 12 114?

    ReplyDelete
    Replies
    1. Skittles Pony1 June 2016 at 19:25

      For question 12, the answer is 2 because sin x = x only if x is small and is in radians.

      Delete
  3. Anonymous1 June 2016 at 13:40

    i am doubtful about the answer for qn19

    ReplyDelete
  4. Anonymous1 June 2016 at 13:40

    Shouldn't 8 be 2018? X can't be 1009

    ReplyDelete
  5. Unknown1 June 2016 at 13:42

    Isn't question 8 answer 2018, question 16 answer 8063 and question 19 answer 48?

    ReplyDelete
    Replies
    1. Anonymous1 June 2016 at 13:44

      qn16 is 4030 as the function can be (2x-1)+x(x-1)(x-2)...(x-2015)

      Delete
  6. Anonymous1 June 2016 at 13:45

    question 8 cannot be 2019 since x cannot be 1009 but can be any integer between 0 to 2018 other than that.

    ReplyDelete
  7. Anonymous1 June 2016 at 15:19

    Q8 is 2019.
    RHS = 1
    x can be any integer between 0 to 2018.
    There are 2019 integer solutions.

    ReplyDelete
  8. Anonymous1 June 2016 at 16:32

    Question 8 should be 2017, since both 1009 and 1004 are invalid.

    ReplyDelete
  9. Anonymous1 June 2016 at 17:09

    1004 works.....

    ReplyDelete
  10. Anonymous1 June 2016 at 20:41

    1004 does not work.

    ReplyDelete
  11. Anonymous1 June 2016 at 21:17

    For q18 shouldn't the answer be 5 since 1000=8*125 so (1*3*...*2017)/1000=(1*3*...*123*127*129*...*2017)/8 which gives a remainder of 5?

    ReplyDelete
    Replies
    1. Skittles Pony2 June 2016 at 10:31

      1*3*5*...*2017 is congruent to 0 (mod 625) and 1*3*...*2017 is congruent to 1 (mod 8). Therefore 5 cannot be the answer as it is absurd

      Delete
  12. Lee Zheng Han1 June 2016 at 22:51

    Question 12 is 114, or else they won't even need a floor

    ReplyDelete
  13. Anonymous2 June 2016 at 09:32

    What's the predicted cut-off this year? I think this year is harder...

    ReplyDelete
    Replies
    1. Anonymous2 June 2016 at 11:35

      It isn't particularly hard so the cutoff would be the usual 11-12 points.

      Delete
    2. Anonymous3 June 2016 at 23:54

      Really?Do you think the cutoff will be lower than 2015 and 2013?

      Delete
  14. Unknown2 June 2016 at 18:31

    This comment has been removed by the author.

    ReplyDelete
  15. Anonymous2 June 2016 at 18:34

    Normally when will the second round cutoff be publicized?

    ReplyDelete
  16. Anonymous3 June 2016 at 23:53

    Can anyone tell me how to do question 13? I wrestled with this question but still cannot come up with an answer

    ReplyDelete
    Replies
    1. Anonymous3 June 2016 at 23:56

      I think it is quiet time-consuming so I skipped it without hesitation during the exam.

      Delete
    2. Skittles Pony6 June 2016 at 16:50

      24C3 = 2024
      Number of ways where b=d=(a+c)/2 is 2(12C2)=132
      (2024-132)/2!=946

      Delete
    3. Skittles Pony6 June 2016 at 16:58

      By the way, speaking of time consuming, do you know how to do question 19?

      Delete
    4. Anonymous6 June 2016 at 17:53

      Yes,question 19 is quiet simple.Use Pythagoras theorm twice and you can get the answer

      Delete
    5. Skittles Pony6 June 2016 at 20:29

      I think the one involving Pythagoras theorem is question 20. Question 19 is the one involving the product of two fractions

      Delete
    6. Anonymous6 June 2016 at 22:25

      My apology! I confused question 19 with 21. Notwithstanding,I work out 19 as well.I would like to share you with my solution.Can I have your email or you prefer me posting it here?

      Delete
    7. Skittles Pony8 June 2016 at 23:42

      My email is unturnedskittlespony@gmail.com

      Delete
    8. Anonymous9 June 2016 at 00:06

      Just sent you the solution.

      Delete
  17. Anonymous4 June 2016 at 18:46

    what is this year's difficulty like compared to 2013 and 2015?

    ReplyDelete
  18. Anonymous4 June 2016 at 20:22

    Reply:Really?Do you think the cutoff will be lower than 2015 and 2013?
    So how many do u get correct?

    ReplyDelete
    Replies
    1. Anonymous5 June 2016 at 11:39

      14

      Delete
    2. Anonymous14 June 2016 at 13:38

      U got the invitation right...

      Delete
    3. Anonymous14 June 2016 at 13:52

      Yes,I do.But do you know what is the cutoff?

      Delete
  19. Anonymous14 June 2016 at 14:26

    Invitation? For round 2?

    ReplyDelete
  20. Anonymous14 June 2016 at 15:34

    Are you in SIMO team ?

    ReplyDelete
  21. Anonymous14 June 2016 at 15:56

    Reply to:Yes,I do.But do you know what is the cutoff?
    Dun know,but how many do u get correct?

    ReplyDelete
  22. Anonymous 3141515 June 2016 at 08:01

    The results are out already?

    ReplyDelete
  23. Anonymous15 June 2016 at 08:54

    Click on the "Round 2 List" just above the answers

    ReplyDelete