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Individual students, nonprofit libraries, or schools are
permitted to make fair use of the papers and its
solutions. Republication, systematic copying, or
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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