| Problem |
|
1) Nadia wants to run a 5 mile marathon in June. In early March, she could only run for 15 minutes and go a distance of one mile in that time. By early April her speed had gone up by 30%. If every month she improves by 30% over the previous month in speed, how long will it take her to run the 5 mile marathon in June? Round to the nearest hundredth of a second.
|
2) Sharon takes a trip and travels at the speed limit on
the different roads within seconds of getting on the
road. Her trip in speed versus time is shown on the
graph. What is her average speed? Express your
answer to the nearest mile per hour.
|
3) Leslie builds a model pyramid with a square bottom. The square bottom has side length 6 centimeters. The triangular sides are all identical and have height 4 centimeters. Her
class is going to make a big scale model of her pyramid. All dimensions will be increased by a scale factor of 50. What is the height of the large pyramid? Express your answer in
meters.
|
4) At an obstacle course you can either go up and over a
hill ringing the bell hanging on top, or you can follow the half
circle path around the base of the hill to the same point.
The hill has a height of 100 feet. The half circle path has a
radius of 100 feet. See the schematic drawing. What is the
ratio of the length of the path going up and over to the path
which goes around the half circle? Give your answer as an
exact answer or round to the nearest tenth using 
= 3.14.