29. සියලුධනිඛි඼ ව඲ශා යු ඳරිිියලන උඳරිභලර්ෙප඼යවහිතඳැි ෙණනේ (B) 1 (C) (D ...

[Pages:4]1. (A) 0

(B) 1

(C) 5

(D) 10

(E) 11

2. .

. ?

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3. ?

(A)

(B)

(C)

(D)

(E)

4. 24

, ?

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(B) 12

(C) 11

(D) 10

(E) 9

5. ?

(A)

(B) (C)

(D)

(E)

6.

, . ?

D

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C

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7. (A) 36

. o ?

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(C) 96

(D) 112

(E) 128

8.

. / 24 ()

?

(A) 140

(B) 70

(C) 48

(D) 35

(E) 24

1

29.

,

, ,

.

,

I.

.

II.

III.

.

(A) I

(B) II (C) I II (D) II III

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. ( 6, )

,

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.

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.

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. ?

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26. ?

.

(A) 2010

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(D) 2013

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27.

.

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.

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.

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28. (A) (B) 2011

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9. 1, 2, ... , 2010, 2011 . .

?

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(B)

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10.

1 +

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(B) (182, 1, 4, 2)

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11. 10 .

400 2800 .

?

(A) 2400

(B) 2450

(C) 2500

(D) 2550

(E) 2600

12. .

(A)

(B)

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(D)

(E)

13. ?

A D

(A)

(B)

(D)

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B

C A

2

(C)

14. .

A

G

P

G

O

G

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B G

Q G

.

?

(C) 25

D G

(D) 27

(E) 28

15. . .

2011 ?

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(B) 543

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16. "" ""

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: " ."

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: " ."

: " ."

?

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17. 4 ( 1, 5, 10, 25 1 ) .

?

(A) 16

(B) 15

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(D) 8

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3

18. ?

(A)

(B)

(C)

(D)

(E)

19. 1, 25, 50 20 . 12.50

25 50 25 ?

(A) 2

(B) 4

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20. (A) 176

1 ?

(B) 177

(C) 178

(D) 179

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n ?

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22.

, 5 1 2011 (1 2011 ) n

?

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(B) 1506

(C) 1507

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, ) . 2011

(C) 62

(D) 63

(E) 64

24.

M BC . ABC ?

(A) 20

(B) 24

(C) 25

(D) 30

(E) 32

4

Thank you very much for your participation in the SLMSC 2011. Your score on this competition will be posted against your index number in . The best 40 students in the SLMSC 2011 will be invited (they will be notified by mail) to participate in the SLMCSC 2011 which will be held on 9th April 2011. In this competition we have tried to showcase mathematics by posing puzzle type questions covering various areas of mathematics. Though the problems require very little knowledge, not more than a Year 10 student's basic mathematics knowledge, some problems might require the mathematical maturity of a student in a higher grade. We hope that this kind of problems will stimulate your mathematical interest beyond classroom mathematics. If you didn't do too well, don't be discouraged! You may have great mathematical talent, but it requires nurturing!! Look for opportunities - there are many websites in the internet and also good books featuring excellent mathematical problems - challenge yourself! For any comments/ suggestions:

e-mail:cjw@maths.cmb.ac.lk, sms or call: 072 3678215

Index No:

Medium SINHALA

SRI LANKAN MATHEMATICS SENIOR COMPETITION 2011

March 26, 2011

This question paper has 30 questions. The duration of this competition is 90 minutes. Answer all questions. Please read the questions carefully and fill in the correct lettered circle (only one) against the correct question number in the given answer sheet. Note that no responses get at least two points while incorrect responses receive zero points. Please write your index number in the box provided at the top right corner of your question paper.

Scoring System for the Sri Lankan Mathematics Competition

Questions 1 to 10 : 5 points for correct response, 2 points for no response, and 0 points for incorrect response. Questions 11 to 20 : 6 points for correct response, 2 points for no response, and 0 points for incorrect response. Questions 21 to 30 : 8 points for correct response, 3 points for no response, and 0 points for incorrect response.

Sri Lanka Olympiad Mathematics Foundation

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