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ĐỀ THI TOÁN QUỐC TẾ IMSO NĂM 2012 - Học tốt - Thích học toán

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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 p[r]

(1)

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申請此項授權請電郵

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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)

2012 IMSO Answers

SHORT ANSWER

1 300% 2 1155 3 4 15 5 22

6 7 49 8 9 10 12

11 145 12 63 or 99 13 15689 14 65° 15

16 91 17 343 18 19 42 20 7 21 7:18 22 79800 23 4486 24 A 25 15

ESSAY PROBLEMS

1 270 2 55 km per hour 3 67 4 24 5 24 6 7.5 7 C 8

13

9 10 60° 11 55 12 1512 13 3, and 10

EXPLORATION PROBLEMS

1

Integers:

1, 30 , 28 14 , 27 , 26 13, 25 , 24 12 , 22 11, 21 , 20 10, 18 , 16 , 15

Non-integers: 29

23, 19 17

2 21912, 23232, 25652, 29392, 40304, 42724, 44044, 46464, 48884, 61116, 63536,

65956, 67276, 69696, 80608, 84348, 86768, 88088

3

(a) (c)

(b)

4 5. 199 6.

1

1 7 10 11

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