Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2012 Grade 8 Measurement
Problem
1) Four year old Tyrol sleeps 10 hours and 30 minutes each day. If he does that for a whole year that is 365 days long, how long is that to the nearest minute expressed in days, hours, and minutes?

2) The dimensions of a gaming room are 10 feet by 17 feet by 11 feet. A spider and a fly are both in the room. What is the furthest distance they could be apart to the nearest tenth of a foot?

3) Mario is driving in Canada at a steady rate of 100 km/hr. His twin sister, Daneka, is driving at a steady rate of 70 mph in Washington. Who is faster and by how much? Express your answer in mph. Note 1 mile = 1.609 kilometers.

Problem
4) Donte is mowing his lawn. The front wheels of the mower are 5 inches in diameter and the back wheels are 8 inches in diameter. Donte begins by pushing the mower for 48 feet along the front edge of his lawn. How many more rotations will each front wheel make than each back wheel over the 48 feet? Round your answer to the nearest tenth of a rotation.

5) Suppose it were always true that 7 cats can catch 7 mice in 7 minutes. How many cats would it take to catch 100 mice in 50 minutes?