Lower Elementary:
Question: Ryan had 40 trick-or-treaters come to his house. Half of them he gave one piece of candy to and the other half he gave two pieces of candy. How many pieces of candy did Ryan give out?
Answer: 60 candies
Solution: Half of 40 is 20. He gave 20 people one piece of candy and he gave the other 20 people two pieces of candy. 20, one time is 20 and 20, two times is 40. 20 + 40 = 60. So, Ryan gave out 60 pieces of candy.
Upper Elementary:
Question: Katrina is buying white fabric for a Halloween costume. She can either buy 3 yards for $24 or she can buy 4 yards for $36. What is the better buy?
Answer: 3 yards for $24
Solution: The cost per yard of the first fabric is $24 ÷ 3 = $8. The cost per yard of the second fabric is $36 ÷ 4 = $9. So the 3 yards for $24 is the better buy.
Middle School:
Question: Daniella is trying to guess how many pieces of candy are in a container. The candy is in a rectangular box that has a length of 7 inches, a width of 5 inches, and a height of 4 inches. If the box is filled completely and a piece of candy has a volume of approximately 2 cubic inches, about how many pieces of candy are in the box?
Answer: 70 pieces
Solution: The volume of the box is 7 × 5 × 4 = 140 cubic inches. Since the candy is about 2 cubic inches, there are about 140 ÷ 2 = 70 pieces of candy in the box.
Algebra and Up:
Question: Davis is building a hemispherical shell for his turtle costume. He measured the length of his back to be 2 and a half feet. What is the volume of the shell for his costume?
Answer: 125π/96 cubic feet
Solution: The length of his back is the same as the diameter, so the diameter of the hemisphere is 2.5 feet, or 2 1/2 feet. This means that the radius is 5/4 feet. Since the volume of a sphere is 4/3πr3, the volume of a hemisphere is half of that, which is 4/6πr3 = 2/3πr3. 2/3π(5/4)3 = 2/3π(125/64) = 125π/96 cubic feet. So the volume of the shell is 125π/96 cubic feet.
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