Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2015 Grade 7 Measurement
Problem
1) It takes 4 hours for three members of Jo's crew to paint the walls of a square room with a side length of 12 ft and a 10 ft ceiling. How long would it take a crew of five to paint the walls of a square room with a side length of 25 ft and a 12 ft ceiling? (Assume there are no windows and they paint over doors, etc)

2) If May 2nd 2015 is a Saturday, what day of the week will August 23rd, 2016, fall on?

3) Peter prepares packages measuring 8 in by 10 in by 14 in for shipping. He ties each package as shown in the figure with a continuous length of twine, secured with an efficient knot on top of the package that is 3 in long. If twine comes in 500 ft rolls, how many rolls will he need to prepare 800 packages?

Problem

4) Radio Hut buys batteries wholesale at a rate of 150 for $45, and sells them in packages of 8 for $5. To make a profit of $195, how many batteries would they need to sell?

5) Pizza Place's Extra Large pizza has a diameter 50% greater than that of its Large pizza. What is the ratio of the area of the Extra Large pizza to that of the Large pizza?