Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2012 Grade 5 Measurement
Problem
1) Nicholas loves to run and can burn 400 calories in 15 minutes. At this rate, how many hours would Nicholas have to run to burn 2400 calories?

2) The area of a square is 25 square feet. What will the area be if the side lengths are tripled?

3) Heather is using a shoe box for her history project and plans to cover the inside bottom and all the inside walls with fancy paper. The top will be left open. The width of the box is 6 inches. The height is 2/3 of the width and the length is double the width. If Heather could cover the box without any waste, what is the minimum area of the fancy paper she would need?

Problem

4) Slim and Sue get paid at the same rate by their farmer uncle for the pints of strawberries they pick. Slim takes 10 minutes to pick a pint on average because he is easily distracted. Sue picks a pint in 4 minutes on average. They each work five hours a day. Sue can only work for 14 days. How many more days than Sue will Slim have to work if he wants to earn as much as Sue?

5) Ric is designing a maze for his yard. So far he has the design shown where hedges will be planted in the dotted grey section. He intends to keep them trimmed to a width of 1 yard. The width of the walking path is 1 yard. The dotted segment is the entrance. What is the ratio of the walking area including the inner square to the hedge area shown in dotted grey?