Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2006 Grade 7 Measurement
Problem
1) At a slug race, the fastest slug traveled 10 inches per hour, but it had to rest for 30 minutes every 3 feet. At this record setting pace, how long will it take the slug to travel 8 feet?

2) Elevators at the Space Needle travel at the same speed as raindrops, 10 miles per hour. The elevator ride takes about 40 seconds. How far, to the nearest foot, will the elevator travel? Note: 5280 feet = 1 mile
3) Sam cuts a piece of wire 64 centimeters in length into two parts. The parts are then each bent to form a square. The total area of the two squares is 130 square centimeters. How much larger is a side of the larger square than a side of the smaller square? The sides of each square are in whole number lengths.

Problem
4) If you read 20 minutes per day every day and end up reading 12 books of 200 pages each in one year, what is your reading rate in pages per minute? A year has 365 days. Give your answer as a reduced fraction, or as a decimal rounded to the nearest tenth of a page per minute.

5) Dan has to load a truck with television sets. The cargo area of the truck is a rectangular prism that measures 22 feet (long) by 9 feet (wide) by 11 feet (tall). Each television set is packed in a box that measures 30 inches by 24 inches by 18 inches. Dan does not need to worry about the orientation of TVs since they are packed really well in their boxes. However he does pack them all in the truck with the same orientation so that they stack neatly. What is the maximum number of boxes Dan can pack into the truck?