Math Counts!

A couple of weeks ago I helped out with a nationwide math competition for middle schoolers, called "Math Counts". I actually had competed in Math Counts myself when I was in 8th grade, so I thought it would be interesting to see how the competition had evolved and also just lend a hand. During the day, I proctored an exam, schlepped boxes of papers around, directed lost students and parents, and even helped emcee the final "countdown" round of competition.
Wow are these kids good. To be fair, the Silicon Valley is one of the most competitive districts in the country, this small geographic area typically produces 4 or 5 of the top 40 teams in the nation. Still, I was impressed. The written test was tough even for me, but the oral countdown round was really crazy. It was jeopardy-style, with six kids sitting up front trying to buzz in when they know an answer to a question. Half the time they would buzz in before the question was finished being read!
Thought some of the readers might enjoy testing their mettle against the best middle schoolers in the nation. Here are a few questions for you!
1) An octopus has 8 tentacles and 1 head. A jellyfish has 20 tentacles and no head. A cow has 4 legs and 1 head. Farmer Brown, who raises only octopi, jellyfish and cows on her farm, has animals with a total of 17 heads, 196 tentacles and 20 legs. How many animals does she have?
2) How many non-congruent squares can be drawn, such that their verticies are points on a 5 by 5 grid of points?
3) A square garden has a gate at the center of the east wall. A pole (P) is located 50 feet outside the garden to the north, on a line that perpendicularly bisects north wall. Jeff (J) walks out through the center of the east gate, perpendicularly to the east wall, and he is first able to see the pole when he is exactly 98 feet from the east edge of the garden. What is the length of the north wall?
4) During football season, 25 teams are ranked by three reporters (Alice, Bob and Cecil). Each reporter assigned all 25 integers (1 through 25) when ranking the twenty-five teams. A team earns 25 points for each first-place ranking, 24 points for each second-place ranking, and so on, getting one point for a 25th place ranking. The Hedgehogs earned 27 total points from the three reporters. How many different ways could the three reporters have assigned their rankings for the Hedgehogs?
How'd you do?