Are These Tricks or Treats? You Decide!! - The Problems

October 29, 2001

In preparation for Halloween, Jack decided to make a new container to hold his Halloween candy. He wants to use a wizard’s hat as his candy container to go with his Harry Potter costume. He made his hat in the shape of a right, circular cone. It was 12 inches tall when measured up the center of the hat, and it’s base (the opening) had a 10-inch diameter. Jack wants to know how many cubic inches are in the volume of his container. Can you figure it out?? (Leave your answer in terms of pi.)

Decisions, Decision…: After 3 hours of Trick-or-Treating, Alice and her dad were standing at the end of a neighborhood street with seven houses left to visit. Alice’s dad told her that they were running past her curfew and that she would only have time to visit five of the seven houses. How many different combinations of five houses could Alice pick from her seven choices?

Though this problem is a real TREAT, it’s also a little TRICKY!: Three friends were able to fill six bags of candy while Trick-or-Treating for three hours. How many bags of candy could one of the friends fill Trick-or-Treating for one hour?