Problems of the Week - January 17 to January 23

Jan 17, 2022 | 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: Mila grows red, pink, and yellow roses in her garden. She has a total of 18 rose bushes. Half of the rose bushes grow red roses, six of them grow pink roses, and the rest grow yellow roses. How many yellow rose bushes does Mila have?

 

 

 Upper Elementary:

Question: It costs Hank $23 to buy tulip bulbs for his garden. With those bulbs, he grows 160 tulips. He sells each tulip for 85¢. How much money does Hank make in profit?

 

 

Middle School:

Question: An orange tree grows at a rate of 8 millimeters per month. What is its growth rate in centimeters per year?

 

 

Algebra and Up:

Question: The population of trillium flowers in a state park over a number of years can be modeled by the function f(t) = 1,024(2)–2t, wherein t is the number of years that have passed since 2010. When was the population of trillium flowers equal to 1?

(Hint: is an integer.)

 

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

You have 2 containers — a 2 liters and a 6 liters containter. With these two containers, you can measure different amounts of water using these moves:

  • Completely fill a container from the tap.
  • Completely empty a container onto the ground.
  • Pour a container into the other until it's completely full or the one pouring is completely empty.

With water in one or both containers, how many different total amounts of water can you measure?