Welcome back to antoher #WPW! This week we have some fun carnival themed questions!!
Lower Elementary:
Question: A clown makes 10 balloon giraffes, 16 balloon poodles, 5 balloon monkeys, and a balloon octopus. How many balloon animals does the clown make?
Upper Elementary:
Question: A spinning prize wheel has four different varieties of prizes. 20% of the prizes are items from a prize case. 30% of the prizes are tickets to local events and museums. 40% of the prizes are cash. The other 2 prizes are all-expense-paid trips. How many different prizes are on the wheel?
Middle School:
Question: A dunk tank is 4/5 full. After Tom 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 & 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:
Answer: 32 balloon animals
Solution: Let’s add the animals together, one species at a time. There are 10 giraffes and 16 poodles, and 10 + 16 = 26. To add the 5 monkeys, we can count 4 up to 30 and 1 more up to 31. One more animal—the octopus—makes 32!
Upper Elementary:
Answer: 20 prize options
Solution: First we need to know what percentage of the prizes are all-expense-paid trips. The rest of the prizes add up to 20% + 30% + 40% = 90%, so the other 10% of the prizes are all-expense-paid trips. If 2 is 10% of the total, and 10% × 10 = 100%, then the total number of prize options is 2 × 10 = 20.
Middle School:
Answer: 750 gallons
Solution: If 1/4 of the water in a 4/5–full tank leaks out, then the tank is now 3/5 full. If 450 gallons makes up 3/5 of the tank’s capacity, then 1/5 of it must be 450 ÷ 3 = 150 gallons. 150 gallons, 5 times makes 5/5 of the tank’s capacity, and 150 × 5 = 750 gallons.
Algebra & Up:
Answer: 6π cubic inches
Solution: The volume of the hemisphere of snow is equal to half of 4/3πr3, or 2/3πr3 (we can do this because half of 4/3 is 2/3). The volume of the cone is πr2 × h/3. We know that h = 5 and r = 1.5, so altogether, the volume of the snowcone is:
(2/3 × π × 1.53) + (π × 1.52 × 5/3)
Altogether, the above equals 2.25π + 3.75π = 6π, or approximately 18.85. The volume of snow is 6π cubic inches.
Thanks for hanging out with us again this week Mathletes and we hope to see you back!
If you would like more information about Mathnasium of Ankeny and what we do, feel free to call us at (515) 478-3552 or click one of the buttons below!
(515) 446-8910
