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:
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.
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 |