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ĐỀ THI TOÁN QUỐC TẾ IMSO NĂM 2011 - Học tốt - Thích học toán

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multiple reproduction of any part of this material is permitted only under license from the Chiuchang Mathematics Foundation. Requests for such permission should be made by[r]

(1)

注意:

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申請此項授權請電郵 ccmp@seed.net.tw

Notice:

Individual students, nonprofit libraries, or schools are

permitted to make fair use of the papers and its

solutions. Republication, systematic copying, or

multiple reproduction of any part of this material is permitted only under license from the Chiuchang Mathematics Foundation

Requests for such permission should be made by

(2)

2011 IMSO Answers SHORT ANSWER

1 2011 2 16 3 1

4 4 270 5 50

6 36 7 720 8 5

38 9 179 10

2 4

3

11 180° 12 23 13 12 14 165 15 4024

16 18 17 17 18 18 19 8 20 7

21 25 22 04 23 1 24 4

9 25 6

ESSAY PROBLEMS

1 Saturday 2 7 3 Bonus pts (no

figure provided) 4 17

5 320112、

820116 6 60606 7

75

4 8

9 pounds, 11 pounds, 13 pounds, 14 pounds,

17 pounds

9 B 10 17 11 13 12 24 13 1(2011)2

(3)

EXPLORATION PROBLEMS

1 A = 1, B = 4, C = 5, D = 2, E = 3 2.

3 C 4.

(a) (b)

Count Triple Triple Single Total Count Triple Triple Double Total

1 20 19 10 137

2 20 17 13 137

3 20 15 16 137

4 20 13 19 137

1 20 20 17 137

5 19 18 13 137

6 19 16 16 137

7 19 14 19 137

8 18 17 16 137

9 18 15 19 137

5

2 20 19 20 137

10 17 16 19 137

(c)

possible scores are all numbers between and 160 and multiples of between 160 and 180 Then the numbers not possible are:

1, 2, 3, 4, 5,

161, 163, 164, 166, 167, 169, 170, 172, 173, 175, 176, 178, 179 greater than 180 6 11 4 8 12 5 9 7 10 6

20 10 15

11 11

3

5 22

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