# Problems of the Week

Feb 10, 2020 | High Park

We didn't think it was paw-sible, but these puzzles are doggone difficult! Good luck, Mathletes!

Lower Elementary:
Question: Layla takes her dog for a 20 minute walk each morning. On Monday, she takes the dog out for a walk at 7:55 AM and walks the dog for 8 minutes longer than the usual amount of time. At what time do they get back to their house?

Upper Elementary:
Question: Spot the dog can jump 3¾ feet into the air. Can Spot catch a frisbee that flies 44 inches over his head?

Middle School:
Question: A box of dog biscuits is 10 centimeters long, 5 centimeters wide, and 18 centimeters tall. Each dog biscuit takes up 2 cubic centimeters of space in the box. How many dog biscuits can fit in the box?

Algebra and Up:
Question: Steven uses the equation below to find the average change in weight by his dogs after a month of feeding them Such Healthy Very Dog Wow brand dog food. (2 – 3 + 1 + 5 + 4 + 6) ÷ 8 = x

What is the data set demonstrated by the equation?

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Lower Elementary:
Question: Layla takes her dog for a 20 minute walk each morning. On Monday, she takes the dog out for a walk at 7:55 AM and walks the dog for 8 minutes longer than the usual amount of time. At what time do they get back to their house?
Solution: Twenty minutes after 7:55 AM is 8:15 AM, and 8 minutes after that is 8:23 AM.

Upper Elementary:
Question: Spot the dog can jump 3¾ feet into the air. Can Spot catch a frisbee that flies 44 inches over his head?
Solution: One way to solve this problem is to convert 3¾ feet to inches. Three feet is 3 × 12 = 36 inches, and a quarter of a foot is 12 ÷ 4 = 3 inches. So, 3¾ is 36 + 3 + 3 + 3 = 45 inches. Spot can jump more than 44 inches, so he can catch the frisbee.

Middle School:
Question: A box of dog biscuits is 10 centimeters long, 5 centimeters wide, and 18 centimeters tall. Each dog biscuit takes up 2 cubic centimeters of space in the box. How many dog biscuits can fit in the box?