Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2008 Grade 5 Measurement

Problem
1) How much carpeting is needed to cover the floor of an L shaped room with the dimensions shown in the figure?
2) The right triangle BAC has a base of 4 centimeters and a height of 5 centimeters. A new triangle is created by increasing the angle at A by 60o and moving point C to point D. AD has the same length as AC. What is the sum of the angles DBA and BDA in triangle BAD?

Problem

3) A loop of rope has a total length of 30 feet. Stevie creates a rectangle with the loop that has length 8 ft. Taneisha takes the loop and creates a rectangle that has length 10 ft. What is the difference in the area between Stevie's and Taneisha's rectangle?

4) Tina's walk home from work is 2 miles. After leaving work she walks 1000 feet and stops to get a drink of water. Tina then walks an additional quarter of a mile and gets her mail. How much further does she need to walk? Give your answer in feet. 1mile = 5280 feet.

5) Rocks are being put in an empty well at a rate of 5 rocks per second. After one hour and fifteen minutes how many rocks are in the well?