SMO 2017 Senior Round 2 List

Cut off for Rd 2 ~?

SMO 2017 Senior Round 1 Questions

You can find past year SMO papers (2005-2013, Round 1 and 2 with full solutions) here.

For more SMO Senior Special Round practice, you may download the All Soviet Union Math Competition 1961-1987 here (note that only the first 99 questions have solutions included).

SMO 2017 (Senior Section) Answers

1. D

2. D

3. C

4. B

5. B

6. C

7. A

8. C

9. E

10. A

11. 630

12. 6

13. 9

14. 24

15. 816

16. 100

17. 505

18. 25260

19. 777

20. 121

21. 7

22. 216

23. 487

24. 2685 (*amended)

25. 48

26. 372 (*amended)

27. 6

28. 30

29. 8 (*amended)

30. 38

31. 2590

32. 47

33. 126

34. 24

35. 200

## 60 comments:

qn7 should be A?

Is Q7 A, because sqrt(sin^2 a) = -sina in this case since sin a is negative?

For q27, wouldn't m=6, n=1 be a possible solution set?

777

26 should be 1419

Is getting 17 a good thing

also 17

is qn 31 answer missing a last digit

Isn't q13 9?

And

Anyone has the questions

Hello, I think the answer to Question 13 should be 9, and the answer to question

31 should be 2590

13 cannot be 1

Q13 cannot be 1 cuz tanA-1 is not equal 0 right?

Shouldn't it be 9

Did y'all find this harder or easier than last year's paper?

Shouldn't Q18 be 25260? Thanks

is 29 9 or 4?

@Anonymous How did you find it?

@Anonymous

5*9C4*5C2 + 5C2*9C3*4C1*5C1 + 5C3*9C2*4C2 = 25260

Is this year's paper easier or harder than last year's? And does anyone have the question paper?

13 should be 4. I think you multiplied by two instead of dividing

I got 15, would I get into round 2

Not a high chance, but still possible

what about 17？

I got 14 because I made some really stupid mistakes (like writing 7^3 = 2301 instead of 2401 and thus getting 387 instead of 487). Is that a silver though? Probably not round 2 right?

PS. 17 should get you into round 2

Anyone knows what was last year cutoff point

I think it was 18-19. So this year should be lower cuz it's harder right?

Can you upload the questions? Thank you!

how about 16?

when and how r we gonna know the cutoff point this year?

Shouldn't q28 be 36? AF is 1/6 of AC, so 6AC/AF should be 36.

I think q26 is 372 because moving between cells not on the lines

I got 16, can I get into round 2?

Qn 24 should be 2685?

@Anonymous I found it harder, and probably did worse than last year as I made many careless mistakes :( but a number of people I knew found it easier

is 11 good enough to get silver? screwed up too many questions :((

Isn't qns 25 42? Assuming you have the worst luck and get 20+18=38, now you have two pairs of the same colour. Then you take one each from the remaining 3 colours 38+3=41.Take one more and you'll have 3 pairs of the same colour 41+1=42.

My answer also 42.

Mine is also 42

Same! Mine is also 42. How to get 48?

Worst case scenario is when you take 20+18 and then you take 3 of each other sock, so you don't have 3 complete pairs yet. Then the next sock will complete the last pair. Thus 20+18+3+3+3+1=48.

Omg thanks!! But shit, I forgot that it was in pairs

I also thought so at first. But if you read the question carefully it asks you to move from cell to cell and NOT along the grid lines.

Do you think a 17 can get me into round 2?

I got 3 qns wrong because of wrong mental calculations :(. Can anyone tell me what I might get for 12 correct.

How much for bronze?

As requested, for question 28, note that since AP = PB and other reasons, triangles EAP and QBP are congruent such that EA = BQ. Furthermore, triangles EAF and QCF are similar.

The ratio AF / FC = EA / CQ = 3 / (3+9) = 1/4. Hence, AC / AF = 5, giving rise to the final answer of 30.

When will we get the results?

What are the cut off's for honourable mention, bronze, silver, gold?

What are the cut off's for honourable mention, bronze, silver, gold?

Has anyone received notification about round 2

It is already out.

http://sms.math.nus.edu.sg/Competitions/CompetitionHomePage.aspx#round2

Just curious, anyone has a rough idea what is cutoff?

cut off is the point you need to get for round 2

@the guy above the last one do you mean what is the cut-off grade? I mean i got 20 and got through, not sure if that is considered low

Hi what's the score to get honourable mention?

Hi. Can anyone tell me what I might get for getting 12 qn correct?

Hi, for question 29, I suspect the answer is 9.

If n = 8, then 9^256 > 9^256 - 4^256 =

(3^256+2^256)(3^256-2^256) = (3^256+2^256)(3^128+2^128)(3^128-2^128)=...=5(3^2+2^2)...(3^256+2^256)

I could be wrong. Help me check

anyone know how much is roughly needed for silver? thanks

I think it's around 11.

Thank you for sharing the information here. Its much informative and really i got some valid information. You had posted the amazing article.

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