Problems of the Week - September 13 to September 19

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: Annie is 3rd place in a lunch line. Jacob is 4 places behind Annie. Paula is 6 places ahead of Jacob. What place is Paula in line?

Upper Elementary: 

Question: What’s the area of a square plot of tulips planted into 10 rows of 10 tulips if each tulip is exactly one foot away from the next?

Middle School: 

Question: A brand new deck of 52 cards has the Ace of Hearts on top. The next card is the Ace of Spades, then the Ace of Diamonds, then the Ace of Clubs. The 5th card is the 2 of Hearts. If the pattern continues, which card will be 38th? How can you tell without flipping all the cards until you reach the 38th?

Algebra and Up: 

Question: A trout is swimming downstream in a river whose current runs 2 miles per hour. After 30 minutes, the trout has traveled 6 miles. How fast would the same trout swim in still water?

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

Every letter corresponds to a different digit and $$0 cannot be a leading digit. What is the smallest digit in this puzzle?