Problems of the Week - December 6 to December 12

Rewards for Problems of the week:

5 stars for the correct answer at your level; 10 stars for the next level; 20 stars for 2+ levels up.

 Lower Elementary:

Question: Wyatt has 20 stickers. He wants to give 6 to his friend Henry, 7 to his friend Ellie, and 8 to his friend Noah. How many stickers will Wyatt have left over?

Upper Elementary:

Question: Christian has two-thirds of a pound of chocolate chips. Kaylee has 0.25 pounds of chocolate chips. How much more do they need to have a whole pound of chocolate chips?

  Middle School:

Question: Gabriel scores 40 points on his fifth of five quizzes, increasing his average score to 32 points. What was Gabriel’s average score after the first four quizzes?

Algebra and Up:

Question: Matthew bets Nora a pepperoni pizza that if he rolls a pair of six-sided dice, the resulting sum will be a prime number. Nora takes the bet. What are the odds that Nora will win?

Challenge problem to take home. 5 stars for the correct answer. 

This image is a square containing three circular arcs with the same radius.

How does the area of the shaded region compare to the combined area of the unshaded regions?