Week 10 CAPT Problem - 10th Grade


Hungry Tom

Tom is always pretty hungry so he studies things pretty carefully before he spends his money. He has been studying the menu at the local pizza parlor before he makes some decisions.

Tony's New York Pizza

Large 14 inches

We will cut our pizzas
with 4, 6 or 8 slices.

Medium 12 inches
Small 10 inches

Please Show all Work

  1. What is the area of a piece of a large pizza that has been cut into 6 pieces?

  2. Should Tom take 2 pieces of a small pizza cut into 6 pieces or 1 slice of a large pizza cut into 4 slices?

  3. Should Tom take 1 piece of a small pizza cut into 4 pieces and a piece of a large pizza cut into 6 pieces or 3 pieces of a medium pizza cut into 4 pieces?

  4. Should Tom take half of a large pizza or 2 pieces of a medium pizza cut into 6 pieces and 1 piece of a large pizza cut into 6 pieces?

  5. Explain why it is harder to cut the pizza into 6 pieces than it is to cut the pizza into 4 or 8 pieces. You may use pictures to explain your answer.