Name: __________________________________
Date:______________________
Challenge!!
Directions: Attached is ONE OPTIONAL challenge question for you to try over
the next couple of nights. Each problem has a paragraph for you to read, and
three different levels you can try! Your job…
 Read the story problem
 Choose level 1, 2, 3, or 4 to try
 Circle the level you chose to work on and show all your work
This is due by January 15, 2016
Building an ice skating rink is a pretty major
project. You have to build walls around a big
space to hold the ice, lay pipes that will carry
super-cold liquid to freeze the water, then pour
the water over it all and wait for it to freeze. As
long as you're doing all that work, you might as
well make the ice pink. That's what the Boca
Raton Resort in Florida, U.S. did for this winter.
The ice really is pink, and looks even pinker
thanks to pink lights inside the tent. The hotel
itself is famous for being painted pink, so it's
nice to see that all the colors match - and that
they can keep it from melting in the hot Florida weather.
Level One: If they poured the ice 3 inches thick to start, then added 1 more inch to make it
look pinker, how thick is the ice now?
Level Two: If you skate around the pink rink 4 times clockwise, then skate the other way 6
times, how many times around have you skated? Bonus: If there are 17 kids skating at once
and 5 are boys, how many are girls?
Level Three: If it's 82 degrees outside in Boca Raton, which it was this past weekend, and the
ice is 18 degrees, how much warmer is the air? Bonus: If the temperature of the air in the
tent is halfway between the two, what temperature is it in the tent?
Level Four: If the pink rink is 28 feet wide by 108 feet long in total, but each end is shaped
as a perfect half-circle, how many square feet does the rink cover? (Reminder that pi is
3.1415, but you can round it to 3 1/7 if you like.)
The level I chose: ________ (Show your work below or on a separate sheet)
Answers:
Wee ones: 4 inches thick.
Little kids: 10 times around. Bonus: 12 girls.
Big kids: 64 degrees warmer. Bonus: 50 degrees (32 degrees from each).
The sky's the limit: With a 28 foot wide rink, the half-circle on each end has a diameter of 28 feet and a radius of 14
feet. So each half circle accounts for 14 feet of the total length. There are two half circles so together they take off a
full diameter of 28. That leaves 80 feet for the rectangular part. The 28 x 80 rectangle has an area of 2,240 feet, and
the circle has an area of pi times the radius squared. 14 squared is 196, and 3 1/7 of that is 588 plus 28, or 616. So the
grand total area is 2,856 square feet of pink.