Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2008 Grade 6 Measurement
Problem
1) How many square feet of synthetic turf are needed to cover the interior of the track shown? The ends of the track are semicircles. Round the answer to the nearest tenth.
2) A cereal box measures 14 inches long by 3 inches wide by 20 inches high. The box is completely full. A plastic storage bag is 13.5 inches long by 4 inches wide by 21 inches tall. If you pour the cereal from the box into the bag how full will the bag be? Give your answer as a percent of fullness of the bag, so 100% full means the bag is full.

Problem

3) Joe lives in apartment building that is 70 feet long by 60 feet wide by 80 feet tall. The volume of the building next door is 252,000 cubic feet with the same length and width as Joe's building. What is the difference in height in feet between the two buildings?

4) A loop of rope has a total length of 30 feet. If you create a rectangle with the loop that has length 8 feet, and then create a second rectangle with length 10 feet what's the difference in the area of the two rectangles?

5) Margie sees that she has a steadily dripping faucet in the tub that she can not turn off. She places a 1 gallon bucket underneath it. The faucet drips at a rate of one drop per 3 seconds. 3 drops make a teaspoon. If 3 teaspoons = 1 tablespoon, 16 tablespoon = 1 cup, 1 cup = 8 ounces, and 1 gallon = 128 ounces, how long will it take before the bucket is full? Express your answer in hours, minutes and seconds.