1. Amador Valley Geometry Bee
May 25, 2012

2. Format Round 1: 10 problems, 3 minutes per problem
Tiebreakers will be used to determine placements, if necessary
Top 8 highest scores on Round 1 will advance to Round 2

3. Rules Write down your answers on the paper given.
Answers must be in simplest and exact form. Denominators must be rationalized, trigonometric functions must be simplified, common fractions must be used, etc.
No calculators!
is sometimes substituted for due to the lack of mathematical knowledge of symbols of the original creator of this powerpoint. Sorry for any confusion.
Unless otherwise stated, assume angle measures are written in degrees.
Good Luck!
Wrong
1 ½ = 1.5
sin(15°)
1+√5
1-√5
√(5/2) 35
Correct
3/2
√6-√2 4
-3-√3
2+√3 = 1+ √3
243

4. 10 problems, 3 minutes per problem
Round 1
10 problems, 3 minutes per problem

5. Problem 1

6. Problem 2

7. Problem 3

8. Problem 4

9. Problem 5

10. Problem 6

11. Problem 7

12. Problem 8

13. Problem 9

14. Problem 10

15. Round 1 Tiebreakers

17. 10 problems, 3 minutes per problem
Round 2
10 problems, 3 minutes per problem

18. Problem 1

19. Problem 2

20. Problem 3

21. Problem 4

22. Problem 5

23. Problem 6

24. Problem 7

25. Problem 8

26. Problem 9

27. Problem 10

28. Round 2 Tiebreaker

30. Round 1 Tiebreaker
2 minutes per problem

31. Rules Each participating student will have their own proctor.
Proctor will check for correct answer when you raise your hand.
Show you paper to them. Do not say your answer out loud.
One submission per problem.
Fastest correct times win until 8 spots are filled for Round 2.
120 second time limit. 31

32. Problem 1

33. Problem 2

34. Problem 3

35. Problem 4

36. Problem 5

37. Problem 6

38. Round 2 Tiebreaker
3 minutes per problem

39. Rules Each participating student will have their own proctor.
Proctor will check for correct answer when you raise your hand.
Show you paper to them. Do not say your answer out loud.
One submission per problem.
Fastest time wins.
180 second time limit.

40. Problem 1

41. Problem 2

42. Problem 3

43. Problem 4

44. Problem 5

45. Problem 6

46. Problem 7

47. Problem 8
If the height of an equilateral triangle is 30, find its area.

49. Thank you for Coming!