Problems of the Week - August 23 to August 29

Aug 23, 2021 | Lake Boone

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: A red-eyed tree frog has 4 toes on each front foot and 5 toes on each back foot. How many toes does a red-eyed tree frog have?

 

Upper Elementary:

Question: Luke says he saw a piranha that was 4¾ inches long. Howard says he saw a piranha that was 4.7 inches long. Who saw the bigger piranha?

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Middle School:

Question: A kapok tree is 200 feet tall. A vine growing up the trunk of the tree overtakes 10% of the tree’s remaining height each week. How high does the vine reach after 3 weeks?

 

 Algebra and Up:

Question: A biologist is monitoring a flock of toucans. The biologist determines that the number of toucans in the flock can be estimated using the function f(n) = 22 + 3n, wherein n is the number of toucan nests that the biologist counts in the flock’s territory. If the biologist counts 5 nests, what is the estimated number of toucans?

 

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

In New Math City, streets follow a square grid with integer coordinates. The distance between any two points is the sum of their horizontal and vertical differences in units.

Children have to choose a school no farther than four blocks away from their home. There are two schools in the neighborhood — The Amazing School at (1,-2) and The Brilliant School at (-3,1).

Percy, Queenie, Raquel, and Sid live at (1,1), (0,-1), (-2,-1), and (-3, -1), respectively. How many of these four kids can choose between the two schools?