Number Sense
2011/2012 Circle 2 Problem 6
Solution
a) The results are shown in the chart below.
Zero-Step
One-Step
Two-Step
Three-Step Four-Step
10, 12, 13, 14, 15, 16, 17, 18, 19, 28, 37, 39, 46, 48, 49, 59, 68
69
20, 21, 23, 24, 25, 26, 27, 29, 57, 58, 64, 67
N
30, 31, 32, 34, 35, 36, 38, 40,
U
41, 42, 43, 45, 47, 50, 51, 52,
M
53, 54, 56, 60, 61, 62, 63, 65,
B
70
E
R
71, 72, 74, 80, 81, 83, 90, 92, 100 73, 75, 76, 82, 84, 85, 91, 86, 95
96
93, 94
P 1, 2, 3, 4, 5, 11, 33, 44, 55, 66, 77, 88, 99, 121,121,121,363,121,363,484, 1111,1111 4884
A 6, 7, 8, 9, 11, 22, 33, 55, 66, 77, 88, 99, 121, 363,484,121,484
L 22,33,44,55, 33, 44, 55, 77, 88, 99, 121, 44
I 66
55, 66, 77, 99, 121, 55 66, 77
N
88, 99, 121, 66, 77, 88, 99, 121,
D
77
R
O
M 77, 88, 99
88,99,121,88,99,121,99,121,101 121,363,484,121,363,484,121, 1111,1111 4884
E
363, 484
4