Click here for the Problem Extension Worksheet version of the Problems of the Week.
Click here for an MS Word version of the Problems of the Week.
Click here for the Canadian Problem Extension Worksheet version of the Problems of the Week.
Click here for a Canadian MS Word version of the Problems of the Week.

Lower Elementary:
Question: Abby has $5.00 to spend on snacks. Cookies cost 50¢ per cookie, chips cost 75¢ per bag, and juice costs $1.00 per bottle. If Abby buys one of each, how much money will she have left?
Answer: $2.75
Solution: Abby’s snacks cost $0.50 + $0.75 + $1.00 = $2.25. So, Abby will have $5.00 – $2.25 = $2.75 left.

Upper Elementary:
Question: Brianna has a box that can hold up to 50 pounds. She puts 3 books that each weigh 2 pounds inside the box. She also puts a lamp that weighs 20 pounds inside the box. What percent of the box’s maximum weight capacity does Brianna have left to fill?
Answer: 48%
Solution: Brianna puts 3 × 2 + 20 = 26 pounds of stuff into the box. That means the box can hold another 50 – 26 = 24 pounds. Since 50 is half of 100 and percents are out of 100, we can double 24 to find that there is still 48% of the box’s maximum weight capacity left to fill.

Middle School:
Question: Caleb has an aquarium that is 2 feet long, 1 foot wide, and 1 foot tall. A gallon is equal to 231 cubic inches. How many whole gallons of water can the aquarium hold?
Answer: 14 gallons
Solution: The aquarium is 24 inches long, 12 inches wide, and 12 inches tall. So, its volume is 24 × 12 × 12 = 3,456 cubic inches. When we divide 3,456 by 231, we get 14 whole gallons and a remainder of 222 cubic inches.

Algebra and Up:
Question: Darcy is decorating her bedroom and sketches a floor plan to a 1:12 scale. What is the area of the surface of a desk that is 31/2 inches long and 21/4 inches wide on Darcy’s sketch?
Answer: 77/8 square feet
Solution: If the scale is 1:12, then 1 inch on the sketch represents 12 inches in the real world. So, an inch on the map is a foot in real life. The surface of the desk therefore has an area of 31/4 × 21/2 = 77/8 square feet.