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:
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.
Problem 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 |