2016 CCA Math Bonanza Results

All problems are available on the Art of Problem Solving website at http://artofproblemsolving.com/community/c276205_2016_cca_math_bonanza.

The top 10 individuals (as announced at the competition) were:

Place Team Name Score
1 CVMS 1 Kevin Ren 15
2 Scripps Ranch 1 Jonathan Xia 14
3 Westview 1 Justin Li 11
4 University City 1 Evan Liang 10
4 Scripps Ranch 1 Bryan Hu 10
4 CVMS 2 Michael Chen 10
7 Scripps Ranch 1 Zechariah Zhu 8
7 Westview 1 Alex Duan 8
9 CVMS 2 Sumith Nalabolu 7
9 Westview 1 David Mao 7

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 Scripps Ranch 1 103.15 34 50 19.15
2 Westview 1 79.5 30 30 19.5
3 CVMS 1 62.5 20 25 17.5
4 University City 1 61.25 26 25 10.25
5 CVMS 2 59.11 27 20 12.11

The top 3 Colonel Blotto submissions were Sage Creek 2 (12,12,12,12,12,12,12,9,6,1), Westview 1 (17,3,17,3,17,3,17,3,17,3), and CVMS 1 (17,3,17,3,17,3,17,3,17,3).

Props to teams Santa Fe Christian 1, Westview 1, and CVMS 2 for correctly deducing the special number (9) on Lightning Round set 5.

The score distribution for the Individual Round was:

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

The average score on the Individual Round was a 4.26. The median was a 3.

In histogram form:

IndividualHistogram

Problem difficulty for the Individual Round was as follows:

Problem Number Solved Fraction Solved
1 36 0.7659574468
2 29 0.6170212766
3 30 0.6382978723
4 21 0.4468085106
5 19 0.4042553191
6 8 0.170212766
7 10 0.2127659574
8 12 0.2553191489
9 11 0.2340425532
10 7 0.1489361702
11 7 0.1489361702
12 3 0.06382978723
13 2 0.04255319149
14 2 0.04255319149
15 3 0.06382978723

Score distribution for the Team Round was:

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

The average score on the Team Round was a 4. The median was a 3.5.

TeamHistogramProblem difficulty on the Team Round was as follows:

Problem Number Solved Fraction Solved
1 11 0.9166666667
2 6 0.5
3 4 0.3333333333
4 10 0.8333333333
5 3 0.25
6 5 0.4166666667
7 2 0.1666666667
8 3 0.25
9 2 0.1666666667
10 2 0.1666666667