Problems of the Week - February 7 to February 14

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 tree frog has 4 toes on each front foot and 5 toes on each back foot. How many toes does a tree frog have in total?

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?

 Middle School:

Question: A 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 estimates that there are 37 toucans in the territory, then how many nests did they count?

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

Figure 1, 2 and 3 shown below contain 12, 15, and 18 dimes, respectively.

If the pattern continues (not repeats) as above, how many dimes will be in figure 10?