HOPE Charter School 2009 PSSA Boot Camp
Monday, April 13, 2009
PSSA Math Reporting Categories: A Numbers and Operations B Measurement √ C Geometry √ D Algebraic Concepts √ E Data Analysis and Probability SOLUTION Name (legibly printed): _______________________________________________ Seminar (circle one): Ackerman Beals Capers Harvey Hickson Instructions: • Place your solution into box in front of main office by end of 4th period today. • Winner will be announced during 6th period lunch today. Winner will be randomly selected from all entries, but the answer must be correct and justified (SHOW WORK OR EXPLAIN). • Link with questions and solutions posted at http://hopecharter.blogspot.com
A rectangular birthday cake is 9 inches by 13 inches and has 6 circular balloons on it that 1 don’t overlap. Each balloon has a inch radius. If a fly lands on the cake, what is the 2 probability that it lands on a balloon?
A
2 % 3
B
4%
C 16 % D 42.8 %
Solution: P ( 6 circular balloons )
P ( rectangular birthday cake )
= =
Area ( 6 circular balloons )
Area ( rectangular birthday cake )
(
6 π r2
)
lw ⎛ ⎛ 1 ⎞2 ⎞ 6⎜π ⎜ ⎟ ⎟ ⎜ ⎝2⎠ ⎟ ⎠ = ⎝ 9i13 ≈ 0.044037