Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2016 Grade 7 Measurement

Problem

1) The container used for gardening measures 14 in across and 3 ft wide, capped with a half circle at each end as shown below. You want to cover it with a layer of fine topsoil. What is the area covered by the topsoil?
(Express your answer to the nearest tenth of a square inch)

2) Marcus is a marathon runner. After running 10 miles at 12 miles per hour (mph), he walks at 1/6th that rate for 30 minutes. If he repeats this cycle, how long will it take Marcus to complete a 27 mile marathon??

3) Kerry uses 80 meters of fencing to enclose two separate squares each with an integer side length. The total area of the fenced spaces is 250 square meters. How many times larger is a side of the big square compared to the small square?

Problem

4) Andre drops a ball from a height of 64 feet. The ratio between any height of drop and subsequent rise is constant. He records the third bounce reaching a height of 27 feet. What fraction of a drop distance does the ball reach with each bounce?

5) Brynn is using a ruler to determine the measurements of her tablet computer's screen. She measures the tablet to be 8.1 in wide and 10.8 in long. What is the measurement of the diagonal of her screen?