# High School Challenge

## Week Ending 11-1-98

### Congratulations to Joshua Eaton of Valley Falls High School in Valley Falls, KS. Joshua wins the Casio CFX-9850G Color Graphing calculator.

Go Fish

Suppose you are fishing on a circular lake. You are located two-thirds of the way from the center toward the shore. Another person who is fishing is located directly across the center from you (on the same diameter) and is also located two-thirds of the way from the center toward the shore. Both of your positions are fixed and do not change during this problem. Assuming any fish would go for the closest lure, each of you has command of half of the lake as you are situated. A third person shows up and wants to fish. Is it possible for the newcomer to set up on the lake so all three command exactly one-third of the lake?
Please tell us what math class you are currently taking.

If you solve the problem geometrically, describe your picture in words. Please do not send attachments with pictures.

### Correct Solutions:

1. Wei Fung. Alief Hastings HS, Houston, TX
2. Xingji Zheng. Abby Senior SS, Abbotsford, BC, Canada
3. Ying Li. Brooklyn Tech HS, New York, NY
4. Louis Chang. Ladue Horton Watkins HS, St. Louis, MO
5. Adam Holzman. Great Neck North HS, Great Neck, NY
6. Jenny Davis. Lake Mary HS, Lake Mary, FL
7. Ken Tong. CNEC Christian College, Hong Kong, China
8. Denis Chebikin. Riga Secondary School #40, Riga, Latvia
9. Alexandra Korolyova. Riga Secondary School #40, Riga, Latvia
10. Tommy Ho. H.S.E.S, Brooklyn, NY
11. Viktor Blasjo. Brankyrka Gymnasium, Stockholm, Sweden
12. Michael Smelov. Great Neck North HS, Great Neck, NY
13. Michael Moyer. The Way Home School, Carlisle, PA
14. Sean A. Dennis. Bishop More HS, Orlando, FL
15. Nick Meladze. Northcote College, Auckland, New Zealand
16. Wei Quan Zhou. Brooklyn Tech, Brooklyn, NY
17. Anand Atreya. Emerson School, Ann Arbor, MI
18. Jesse Jou. Montgomery Blair HS, Silver Spring, MD
19. Diego Hernandez. Colegio Bonaterra, Aguascalientes, Ags. Mexico
20. Christopher Cooke. NCIVS, Sarnia, Ontario, Canada
21. Paul Bach. Woodford County High School, Versailles, KY
22. Yiming Yao. Hazen HS, Renton, WA
23. Matan Protter. Ort Kiryat Bialik, Israel
24. Dmitry Sobolev. Lyceum #40, Nizhny Novgorod, Russia
25. Ming Sin. Brooklyn Technical HS, Brooklyn, NY
26. Neil Palmer. Walkerville HS, Walkersville, MD
27. Craig Glaser. Great Neck North HS, Great Neck, NY
28. Steven Franklin. Merritt Island HS, Meritt Island, FL
29. Eddie Palma. Marysville HS, Marysville, CA

### The Problem of the Week Contest Manual

Thirty-six of the best problems in blackline master form accompanied by the answers and solutions. For more information email Paragon Publications at jar@magicnet.net
The cost is \$10.95 (which includes shipping)