# Problems of the Week

Mar 2, 2020 | High Park

Four more problems for you to solve this week, Mathletes! Good luck!

Lower Elementary:
Question: A clown makes 11 balloon poodles, 15 balloon octopuses, 4 balloon flowers, and a balloon giraffe. How many balloon animals does the clown make?

Upper Elementary:
Question: A spinning prize wheel has four different varieties of prizes. 40% of the prizes are items from a prize case. 30% of the prizes are tickets to a concert. 20% of the prizes are cash. The other 2 prizes are all-expense-paid trips. How many total prizes are on the wheel?

Middle School:
Question: A dunk tank is 4/5 full. After Dave gets dunked, 1/4 of the water splashes out. After that, there are 450 gallons of water left. How many gallons of water does the dunk tank hold when it’s full?

Algebra and Up:
Question: The paper cone of a snowcone is 5 inches deep and 3 inches wide at its opening. If the cone is filled to the top with snow and then a perfect hemisphere of snow is placed on top, what is the volume of the snow in cubic inches?

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Lower Elementary:

Question: A clown makes 11 balloon poodles, 15 balloon octopuses, 4 balloon flowers, and a balloon giraffe. How many balloon animals does the clown make?
Solution: The clown makes three different kinds of animals—poodles, octopuses, and giraffes. Let’s add them together, one species at a time. There are 11 poodles and 15 octopuses, and 11 + 15= 26. One more, the giraffe, makes 27.

Upper Elementary:
Question: A spinning prize wheel has four different varieties of prizes. 40% of the prizes are items from a prize case. 30% of the prizes are tickets to a concert. 20% of the prizes are cash. The other 2 prizes are all-expense-paid trips. How many total prizes are on the wheel?
Solution: First we need to know what percentage of the prizes are all-expense-paid trips. The rest of the prizes add up to 40% + 30% + 20% = 90%, so the other 10% of the prizes are all-expense-paid trips. If 2 is 10%, or one tenth, of the total, then there are 2 × 10 = 20 prizes on the wheel.

Middle School:
Question: A dunk tank is 4/5 full. After Dave gets dunked, 1/4 of the water splashes out. After that, there are 450 gallons of water left. How many gallons of water does the dunk tank hold when it’s full?