Qn from 2010 SMO (Junior) Special Round

Someone posted the following question on the cbox:
A student divides an integer m by a positive integer n, where n<=100 and claims that m/n=0.167a1a2... show the student must be wrong.

My solution:

SMO 2010 (Open) Special Round

I could only do 4.5 questions and at least 6 people could do all 5. So I failed. I did qns 1,2,3 in 1.5 hours and qn 5 in 1 hour, and I worked on qn 4 for 2 hours.

SMO 2010 (Senior) Special Round

It was raining very heavily this morning so we were almost late. All the questions were trivial except for maybe question 5 which I don't know anyone who could solve it.

But I only managed to solve 3 questions because of my stupidity.

After the competition, the 6 of us (IMO participants) and our trainers/teachers went to West Coz restaurant for a lunch treat.

Lim Min's Gathering with QtPS (6A'06) friends

Mouth-watering agar agar prepared by Melissa and Angela.

Glutinous rice, tao suan and spaghetti prepared by my mother.

Cupcakes prepared by Julene, pies and egg tarts bought from Leong Sang Hong Kong Pastries at Tiong Bahru.

Roast chicken bought from NTUC Fairprice.

Fried rice prepared by my 1st auntie.

Yao Qing, Jane, Agnes, Julene, Mahadhir, Derek, Kai Jie, Wei Wu

Lim Li choosing food.

Miss Chai, Mr Ng, Joanne.

Jeremy Sim, Sultan, Jia He, Derek, Nicky.

Julene, Yao Qing, Jane, Bun Heng, Wei Wu, Daren, Yuni.

Yuni, Agnes, Melissa.

SIMO Camp Photos

Too lazy to blog. Some of the photos were taken from Ding Yue's facebook.

Back of SIMO t-shirt. It says 'SIMO' at the top - too bad if you don't understand.

First night activity - suicide chess. We also played cling and form/delete word game. Find Lim Min.

Eventually white won (not this group).

Everyone fails to find Yan Sheng's manliness in this game.

Grouping for vertical training. The IMO people are on top. Fail: Ivan. Tall One: Vincent. Cling: Lim Jeck. Flirt: Ang Yan Sheng. Ren Ping: Gabriel. Pikachu: Ang Jie Jun.

Aiyoh: Joseph Kuan. Li Li Potter: Lee You Jun. Chops: Zhan Xiong (maybe). Elmo: Tan Xin Xuan

Failed NUS High turnstile. Just randomly taking. Don't really know who got stuck.

Last dinner at NUS Bistro. Find me.

SMO 2010 (Junior) answers

Contributed by 'NAMELESS', 'hz' and some other random people (thank you!). I have done the remaining 8 or so questions.
1. E
2. D
3. B
4. C
5. A
6. D
7. E
8. B
9. C
10. C
11. 2010
12. 369
13. 51
14. 26
15. 16
16. 322
17. 1139
18. 4021
19. 200
20. 01
21. 2250
22. 31
23. 100
24. 2010
25. 177
26. 3350
27. 672
28. 144
29. 25
30. 11
31. 0
32. 23
33. 42
34. 31680
35. 60

Let me know if you have different answers and you believe you are right.

For the next 6 days (4 - 9 Jun), Lim Min and I will be at the SIMO camp, which is at NUS High.

SMO 2010 (Open) Answers

I think the following answers are correct, with inputs from NUS High and RI friends. Anyone knows of other answers please let me know.
1. 50
2. 199
3. 1159
4. 65
5. 78
6. 2500
7. 26
8. 8038
9. 45
10. 4
11. 11
12. 22023
13. 4021
14. 14
15. 3
16. 8030
17. 841
18. 18
19. 17
20. 10045
21. 2007
22. 12345
23. 86422
24. 309
25. 2011

SMO 2010 (Senior) Answers

My sister and I took the SMO(Senior) today. We checked our answers and with some inputs from NUS High and RI friends, I think these are the correct answers:
1. A
2. E
3. E
4. C
5. B
6. E
7. D
8. B
9. D
10. C
11. 132
12. 2575
13. 501
14. 35
15. 1994
16. 1005
17. 216
18. 27
19. 2010
20. 60
21. 2
22. 65
23. 72
24. 32
25. 2002
26. 49
27. 112
28. 60
29. 6
30. 680
31. 2780
32. 5
33. 360
34. 75
35. 12