2017 CCA Math Bonanza Results

All problems are available on the Art of Problem Solving website at https://www.artofproblemsolving.com/community/c392783_2017_cca_math_bonanza.

The top 10 individuals (as announced at the competition) were (with ties broken by the Tiebreaker Round):

Place Team Name Score
1 Torrey Pines 1 Kevin Ren 13
2 Francis Parker 1 Jeremy McCulloch 9
3 Torrey Pines 2 Sumith Nalabolu 8
4 Westview 1 Alex Duan 8
5 Bishops 2 Tobey Shim 7
6 Westview 2 Steven Zhang 7
7 Westview 1 Erwin Ni 7
8 Torrey Pines 1 Lauren Oh 6
9 Torrey Pines 2 Jackson Shen 6
10 Torrey Pines 2 Eric Oh 6

Honorable mention: Kevin Chen of Bishops 1 (6).

The top 5 teams (top 3 awarded at the competition) were

Place Team Total Indv Total (out of 60) Team Round (50) Lightning Round (40)
1 Torrey Pines 1 98.93 27 40 31.93
2 Westview 1 81.40 24 30 27.40
3 Torrey Pines 2 81.24 24 30 27.24
4 Westview 2 61.02 18 30 13.02
5 Francis Parker 1 60.85 12 30 18.85

The top 3 Colonel Blotto submissions were Bishops 2 (0,0,0,16,16,16,16,16,16,4), Francis Parker 1 (3,18,3,12,3,13,3,14,15,16), and Westview 1 (6,16,16,6,16,6,6,16,6,6).

The score distribution for the Individual Round was:

Score Frequency
15 0
14 0
13 1
12 0
11 0
10 0
9 1
8 2
7 3
6 4
5 3
4 14
3 10
2 16
1 15

The average score on the Individual Round was a 3.3. The median was a 3.

In histogram form:

2017indvhistogram

Problem difficulty for the Individual Round was as follows:

Problem Number Solved Fraction Solved
1 68 0.9714285714
2 34 0.4857142857
3 40 0.5714285714
4 12 0.1714285714
5 10 0.1428571429
6 24 0.3428571429
7 8 0.1142857143
8 16 0.2285714286
9 1 0.01428571429
10 2 0.02857142857
11 7 0.1
12 1 0.01428571429
13 1 0.01428571429
14 6 0.08571428571
15 1 0.01428571429

Score distribution for the Team Round was:

Score Frequency
10 0
9 0
8 1
7 0
6 5
5 3
4 5
3 2
2 2
1 0
0 0

The average score on the Team Round was a 4.61. The median was a 4.5.

2017teamhistogram

Problem difficulty on the Team Round was as follows:

Problem Number Solved Fraction Solved
1 15 0.8333333333
2 16 0.8888888889
3 15 0.8333333333
4 12 0.6666666667
5 8 0.4444444444
6 11 0.6111111111
7 3 0.1666666667
8 1 0.05555555556
9 1 0.05555555556
10 1 0.05555555556